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< a href = "sdpa__vector_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 = "preprocessor" > #include < metal_simdgroup> < / span > < / div >
< div class = "line" > < a id = "l00004" name = "l00004" > < / a > < span class = "lineno" > 4< / span > < / div >
< div class = "line" > < a id = "l00005" name = "l00005" > < / a > < span class = "lineno" > 5< / span > < span class = "keyword" > using namespace < / span > < a class = "code hl_namespace" href = "namespacemetal.html" > metal< / a > ;< / div >
< div class = "line" > < a id = "l00006" name = "l00006" > < / a > < span class = "lineno" > 6< / span > < / div >
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< div class = "line" > < a id = "l00007" name = "l00007" > < / a > < span class = "lineno" > < a class = "line" href = "sdpa__vector_8h.html#a6ed0dd113fe7d471fc0b869b8c028c81" > 7< / a > < / span > constant < span class = "keywordtype" > bool< / span > < a class = "code hl_variable" href = "sdpa__vector_8h.html#a6ed0dd113fe7d471fc0b869b8c028c81" > has_mask< / a > [[function_constant(20)]];< / div >
< div class = "line" > < a id = "l00008" name = "l00008" > < / a > < span class = "lineno" > 8< / span > < / div >
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< div class = "line" > < a id = "l00009" name = "l00009" > < / a > < span class = "lineno" > 9< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > T, < span class = "keywordtype" > int< / span > D, < span class = "keywordtype" > int< / span > V = D> < / div >
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< div class = "foldopen" id = "foldopen00010" data-start = "{" data-end = "}" >
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< div class = "line" > < a id = "l00010" name = "l00010" > < / a > < span class = "lineno" > < a class = "line" href = "sdpa__vector_8h.html#a826f7a3c7ab843abc0842241db3e57b3" > 10< / a > < / span > [[kernel]] < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "sdpa__vector_8h.html#a826f7a3c7ab843abc0842241db3e57b3" > sdpa_vector< / a > (< / div >
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< div class = "line" > < a id = "l00011" name = "l00011" > < / a > < span class = "lineno" > 11< / span > < span class = "keyword" > const< / span > device T* queries [[buffer(0)]],< / div >
< div class = "line" > < a id = "l00012" name = "l00012" > < / a > < span class = "lineno" > 12< / span > < span class = "keyword" > const< / span > device T* keys [[buffer(1)]],< / div >
< div class = "line" > < a id = "l00013" name = "l00013" > < / a > < span class = "lineno" > 13< / span > < span class = "keyword" > const< / span > device T* values [[buffer(2)]],< / div >
< div class = "line" > < a id = "l00014" name = "l00014" > < / a > < span class = "lineno" > 14< / span > device T* out [[buffer(3)]],< / div >
< div class = "line" > < a id = "l00015" name = "l00015" > < / a > < span class = "lineno" > 15< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > int< / span > & gqa_factor,< / div >
< div class = "line" > < a id = "l00016" name = "l00016" > < / a > < span class = "lineno" > 16< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > int< / span > & N,< / div >
< div class = "line" > < a id = "l00017" name = "l00017" > < / a > < span class = "lineno" > 17< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > size_t< / span > & k_stride,< / div >
< div class = "line" > < a id = "l00018" name = "l00018" > < / a > < span class = "lineno" > 18< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > size_t< / span > & v_stride,< / div >
< div class = "line" > < a id = "l00019" name = "l00019" > < / a > < span class = "lineno" > 19< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > float< / span > & scale,< / div >
< div class = "line" > < a id = "l00020" name = "l00020" > < / a > < span class = "lineno" > 20< / span > < span class = "keyword" > const< / span > device < span class = "keywordtype" > bool< / span > * mask [[function_constant(< a class = "code hl_variable" href = "sdpa__vector_8h.html#a6ed0dd113fe7d471fc0b869b8c028c81" > has_mask< / a > )]],< / div >
< div class = "line" > < a id = "l00021" name = "l00021" > < / a > < span class = "lineno" > 21< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > int< / span > & mask_seq_stride [[function_constant(< a class = "code hl_variable" href = "sdpa__vector_8h.html#a6ed0dd113fe7d471fc0b869b8c028c81" > has_mask< / a > )]],< / div >
< div class = "line" > < a id = "l00022" name = "l00022" > < / a > < span class = "lineno" > 22< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > int< / span > & mask_head_stride [[function_constant(< a class = "code hl_variable" href = "sdpa__vector_8h.html#a6ed0dd113fe7d471fc0b869b8c028c81" > has_mask< / a > )]],< / div >
< div class = "line" > < a id = "l00023" name = "l00023" > < / a > < span class = "lineno" > 23< / span > uint3 tid [[threadgroup_position_in_grid]],< / div >
< div class = "line" > < a id = "l00024" name = "l00024" > < / a > < span class = "lineno" > 24< / span > uint simd_gid [[simdgroup_index_in_threadgroup]],< / div >
< div class = "line" > < a id = "l00025" name = "l00025" > < / a > < span class = "lineno" > 25< / span > uint simd_lid [[thread_index_in_simdgroup]]) {< / div >
< div class = "line" > < a id = "l00026" name = "l00026" > < / a > < span class = "lineno" > 26< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > BN = 32;< / div >
< div class = "line" > < a id = "l00027" name = "l00027" > < / a > < span class = "lineno" > 27< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > BD = 32;< / div >
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< div class = "line" > < a id = "l00028" name = "l00028" > < / a > < span class = "lineno" > 28< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > qk_per_thread = D / BD;< / div >
< div class = "line" > < a id = "l00029" name = "l00029" > < / a > < span class = "lineno" > 29< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > v_per_thread = V / BD;< / div >
< div class = "line" > < a id = "l00030" name = "l00030" > < / a > < span class = "lineno" > 30< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > inner_k_stride = BN * D;< / div >
< div class = "line" > < a id = "l00031" name = "l00031" > < / a > < span class = "lineno" > 31< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > inner_v_stride = BN * V;< / div >
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< div class = "line" > < a id = "l00032" name = "l00032" > < / a > < span class = "lineno" > 32< / span > < / div >
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< div class = "line" > < a id = "l00033" name = "l00033" > < / a > < span class = "lineno" > 33< / span > < span class = "keyword" > typedef< / span > < span class = "keywordtype" > float< / span > U;< / div >
< div class = "line" > < a id = "l00034" name = "l00034" > < / a > < span class = "lineno" > 34< / span > < / div >
< div class = "line" > < a id = "l00035" name = "l00035" > < / a > < span class = "lineno" > 35< / span > thread U q[qk_per_thread];< / div >
< div class = "line" > < a id = "l00036" name = "l00036" > < / a > < span class = "lineno" > 36< / span > thread U k[qk_per_thread];< / div >
< div class = "line" > < a id = "l00037" name = "l00037" > < / a > < span class = "lineno" > 37< / span > thread U o[v_per_thread];< / div >
< div class = "line" > < a id = "l00038" name = "l00038" > < / a > < span class = "lineno" > 38< / span > < / div >
< div class = "line" > < a id = "l00039" name = "l00039" > < / a > < span class = "lineno" > 39< / span > threadgroup U outputs[BN * BD];< / div >
< div class = "line" > < a id = "l00040" name = "l00040" > < / a > < span class = "lineno" > 40< / span > threadgroup U max_scores[BN];< / div >
< div class = "line" > < a id = "l00041" name = "l00041" > < / a > < span class = "lineno" > 41< / span > threadgroup U sum_exp_scores[BN];< / div >
< div class = "line" > < a id = "l00042" name = "l00042" > < / a > < span class = "lineno" > 42< / span > < / div >
< div class = "line" > < a id = "l00043" name = "l00043" > < / a > < span class = "lineno" > 43< / span > < span class = "comment" > // Adjust positions< / span > < / div >
< div class = "line" > < a id = "l00044" name = "l00044" > < / a > < span class = "lineno" > 44< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > head_idx = tid.y;< / div >
< div class = "line" > < a id = "l00045" name = "l00045" > < / a > < span class = "lineno" > 45< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > kv_head_idx = head_idx / gqa_factor;< / div >
< div class = "line" > < a id = "l00046" name = "l00046" > < / a > < span class = "lineno" > 46< / span > queries += head_idx * D + simd_lid * qk_per_thread;< / div >
< div class = "line" > < a id = "l00047" name = "l00047" > < / a > < span class = "lineno" > 47< / span > keys += kv_head_idx * k_stride + simd_gid * D + simd_lid * qk_per_thread;< / div >
< div class = "line" > < a id = "l00048" name = "l00048" > < / a > < span class = "lineno" > 48< / span > values += kv_head_idx * v_stride + simd_gid * V + simd_lid * v_per_thread;< / div >
< div class = "line" > < a id = "l00049" name = "l00049" > < / a > < span class = "lineno" > 49< / 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 = "l00050" name = "l00050" > < / a > < span class = "lineno" > 50< / span > mask += head_idx * mask_head_stride + simd_gid * mask_seq_stride;< / div >
< div class = "line" > < a id = "l00051" name = "l00051" > < / a > < span class = "lineno" > 51< / span > }< / div >
< div class = "line" > < a id = "l00052" name = "l00052" > < / a > < span class = "lineno" > 52< / span > out += head_idx * V + simd_gid * v_per_thread;< / div >
< div class = "line" > < a id = "l00053" name = "l00053" > < / a > < span class = "lineno" > 53< / span > < / div >
< div class = "line" > < a id = "l00054" name = "l00054" > < / a > < span class = "lineno" > 54< / span > < span class = "comment" > // Read the query and 0 the output accumulator< / span > < / div >
< div class = "line" > < a id = "l00055" name = "l00055" > < / a > < span class = "lineno" > 55< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < qk_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00056" name = "l00056" > < / a > < span class = "lineno" > 56< / span > q[i] = < span class = "keyword" > static_cast< < / span > U< span class = "keyword" > > < / span > (scale) * queries[i];< / div >
< div class = "line" > < a id = "l00057" name = "l00057" > < / a > < span class = "lineno" > 57< / span > }< / div >
< div class = "line" > < a id = "l00058" name = "l00058" > < / a > < span class = "lineno" > 58< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < v_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00059" name = "l00059" > < / a > < span class = "lineno" > 59< / span > o[i] = 0;< / div >
< div class = "line" > < a id = "l00060" name = "l00060" > < / a > < span class = "lineno" > 60< / span > }< / div >
< div class = "line" > < a id = "l00061" name = "l00061" > < / a > < span class = "lineno" > 61< / span > < / div >
< div class = "line" > < a id = "l00062" name = "l00062" > < / a > < span class = "lineno" > 62< / span > U max_score = -INFINITY;< / div >
< div class = "line" > < a id = "l00063" name = "l00063" > < / a > < span class = "lineno" > 63< / span > U sum_exp_score = 0;< / div >
< div class = "line" > < a id = "l00064" name = "l00064" > < / a > < span class = "lineno" > 64< / span > < / div >
< div class = "line" > < a id = "l00065" name = "l00065" > < / a > < span class = "lineno" > 65< / span > < span class = "comment" > // For each key< / span > < / div >
< div class = "line" > < a id = "l00066" name = "l00066" > < / a > < span class = "lineno" > 66< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = simd_gid; i < N; i += BN) {< / div >
< div class = "line" > < a id = "l00067" name = "l00067" > < / a > < span class = "lineno" > 67< / span > < span class = "keywordflow" > if< / span > (!< a class = "code hl_variable" href = "sdpa__vector_8h.html#a6ed0dd113fe7d471fc0b869b8c028c81" > has_mask< / a > || mask[0]) {< / div >
< div class = "line" > < a id = "l00068" name = "l00068" > < / a > < span class = "lineno" > 68< / span > < span class = "comment" > // Read the key< / span > < / div >
< div class = "line" > < a id = "l00069" name = "l00069" > < / a > < span class = "lineno" > 69< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > j = 0; j < qk_per_thread; j++) {< / div >
< div class = "line" > < a id = "l00070" name = "l00070" > < / a > < span class = "lineno" > 70< / span > k[j] = keys[j];< / div >
< div class = "line" > < a id = "l00071" name = "l00071" > < / a > < span class = "lineno" > 71< / span > }< / div >
< div class = "line" > < a id = "l00072" name = "l00072" > < / a > < span class = "lineno" > 72< / span > < / div >
< div class = "line" > < a id = "l00073" name = "l00073" > < / a > < span class = "lineno" > 73< / span > < span class = "comment" > // Compute the i-th score< / span > < / div >
< div class = "line" > < a id = "l00074" name = "l00074" > < / a > < span class = "lineno" > 74< / span > U score = 0;< / div >
< div class = "line" > < a id = "l00075" name = "l00075" > < / a > < span class = "lineno" > 75< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > j = 0; j < qk_per_thread; j++) {< / div >
< div class = "line" > < a id = "l00076" name = "l00076" > < / a > < span class = "lineno" > 76< / span > score += q[j] * k[j];< / div >
< div class = "line" > < a id = "l00077" name = "l00077" > < / a > < span class = "lineno" > 77< / span > }< / div >
< div class = "line" > < a id = "l00078" name = "l00078" > < / a > < span class = "lineno" > 78< / span > score = < a class = "code hl_function" href = "namespacemetal.html#a85181e37a00cb4a4217f1bb25389bce5" > simd_sum< / a > (score);< / div >
< div class = "line" > < a id = "l00079" name = "l00079" > < / a > < span class = "lineno" > 79< / span > < / div >
< div class = "line" > < a id = "l00080" name = "l00080" > < / a > < span class = "lineno" > 80< / span > < span class = "comment" > // Update the accumulators< / span > < / div >
< div class = "line" > < a id = "l00081" name = "l00081" > < / a > < span class = "lineno" > 81< / span > U new_max = < a class = "code hl_function" href = "namespacemetal.html#a853c80479ab2264d9c4587c7bcac767b" > max< / a > (max_score, score);< / div >
< div class = "line" > < a id = "l00082" name = "l00082" > < / a > < span class = "lineno" > 82< / span > U factor = < a class = "code hl_function" href = "namespacemetal_1_1fast.html#ad3dbd387b63373c29e3449609f763ede" > fast::exp< / a > (max_score - new_max);< / div >
< div class = "line" > < a id = "l00083" name = "l00083" > < / a > < span class = "lineno" > 83< / span > U exp_score = < a class = "code hl_function" href = "namespacemetal_1_1fast.html#ad3dbd387b63373c29e3449609f763ede" > fast::exp< / a > (score - new_max);< / div >
< div class = "line" > < a id = "l00084" name = "l00084" > < / a > < span class = "lineno" > 84< / span > < / div >
< div class = "line" > < a id = "l00085" name = "l00085" > < / a > < span class = "lineno" > 85< / span > max_score = new_max;< / div >
< div class = "line" > < a id = "l00086" name = "l00086" > < / a > < span class = "lineno" > 86< / span > sum_exp_score = sum_exp_score * factor + exp_score;< / div >
< div class = "line" > < a id = "l00087" name = "l00087" > < / a > < span class = "lineno" > 87< / span > < / div >
< div class = "line" > < a id = "l00088" name = "l00088" > < / a > < span class = "lineno" > 88< / span > < span class = "comment" > // Update the output accumulator< / span > < / div >
< div class = "line" > < a id = "l00089" name = "l00089" > < / a > < span class = "lineno" > 89< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > j = 0; j < v_per_thread; j++) {< / div >
< div class = "line" > < a id = "l00090" name = "l00090" > < / a > < span class = "lineno" > 90< / span > o[j] = o[j] * factor + exp_score * values[j];< / div >
< div class = "line" > < a id = "l00091" name = "l00091" > < / a > < span class = "lineno" > 91< / span > }< / 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 > < / div >
< div class = "line" > < a id = "l00094" name = "l00094" > < / a > < span class = "lineno" > 94< / span > < span class = "comment" > // Move the pointers to the next kv< / span > < / div >
< div class = "line" > < a id = "l00095" name = "l00095" > < / a > < span class = "lineno" > 95< / span > keys += inner_k_stride;< / div >
< div class = "line" > < a id = "l00096" name = "l00096" > < / a > < span class = "lineno" > 96< / span > values += inner_v_stride;< / div >
< div class = "line" > < a id = "l00097" name = "l00097" > < / a > < span class = "lineno" > 97< / 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 = "l00098" name = "l00098" > < / a > < span class = "lineno" > 98< / span > mask += BN * mask_seq_stride;< / 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 > }< / div >
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< div class = "line" > < a id = "l00101" name = "l00101" > < / a > < span class = "lineno" > 101< / span > < / div >
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< div class = "line" > < a id = "l00102" name = "l00102" > < / a > < span class = "lineno" > 102< / span > < span class = "comment" > // Each thread has a partial part of the output so we need to combine them.< / 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 > < span class = "comment" > // First let' s communicate the max and sum_exp< / span > < / div >
< div class = "line" > < a id = "l00105" name = "l00105" > < / a > < span class = "lineno" > 105< / span > < span class = "keywordflow" > if< / span > (simd_lid == 0) {< / div >
< div class = "line" > < a id = "l00106" name = "l00106" > < / a > < span class = "lineno" > 106< / span > max_scores[simd_gid] = max_score;< / div >
< div class = "line" > < a id = "l00107" name = "l00107" > < / a > < span class = "lineno" > 107< / span > sum_exp_scores[simd_gid] = sum_exp_score;< / div >
< div class = "line" > < a id = "l00108" name = "l00108" > < / a > < span class = "lineno" > 108< / span > }< / div >
< div class = "line" > < a id = "l00109" name = "l00109" > < / a > < span class = "lineno" > 109< / span > threadgroup_barrier(mem_flags::mem_threadgroup);< / div >
< div class = "line" > < a id = "l00110" name = "l00110" > < / a > < span class = "lineno" > 110< / span > max_score = max_scores[simd_lid];< / div >
< div class = "line" > < a id = "l00111" name = "l00111" > < / a > < span class = "lineno" > 111< / span > U new_max = < a class = "code hl_function" href = "namespacemetal.html#a048cad0aca52cb737ebf103e76bd1c49" > simd_max< / a > (max_score);< / div >
< div class = "line" > < a id = "l00112" name = "l00112" > < / a > < span class = "lineno" > 112< / span > U factor = < a class = "code hl_function" href = "namespacemetal_1_1fast.html#ad3dbd387b63373c29e3449609f763ede" > fast::exp< / a > (max_score - new_max);< / div >
< div class = "line" > < a id = "l00113" name = "l00113" > < / a > < span class = "lineno" > 113< / span > sum_exp_score = < a class = "code hl_function" href = "namespacemetal.html#a85181e37a00cb4a4217f1bb25389bce5" > simd_sum< / a > (sum_exp_scores[simd_lid] * factor);< / div >
< div class = "line" > < a id = "l00114" name = "l00114" > < / a > < span class = "lineno" > 114< / span > < / div >
< div class = "line" > < a id = "l00115" name = "l00115" > < / a > < span class = "lineno" > 115< / span > < span class = "comment" > // Now we need to aggregate all the outputs< / span > < / div >
< div class = "line" > < a id = "l00116" name = "l00116" > < / a > < span class = "lineno" > 116< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < v_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00117" name = "l00117" > < / a > < span class = "lineno" > 117< / span > outputs[simd_lid * BD + simd_gid] = o[i];< / div >
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< div class = "line" > < a id = "l00118" name = "l00118" > < / a > < span class = "lineno" > 118< / span > threadgroup_barrier(mem_flags::mem_threadgroup);< / div >
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< div class = "line" > < a id = "l00119" name = "l00119" > < / a > < span class = "lineno" > 119< / span > o[i] = < a class = "code hl_function" href = "namespacemetal.html#a85181e37a00cb4a4217f1bb25389bce5" > simd_sum< / a > (outputs[simd_gid * BD + simd_lid] * factor) / sum_exp_score;< / div >
< div class = "line" > < a id = "l00120" name = "l00120" > < / a > < span class = "lineno" > 120< / span > threadgroup_barrier(mem_flags::mem_threadgroup);< / div >
< div class = "line" > < a id = "l00121" name = "l00121" > < / a > < span class = "lineno" > 121< / span > }< / div >
< div class = "line" > < a id = "l00122" name = "l00122" > < / a > < span class = "lineno" > 122< / span > < / div >
< div class = "line" > < a id = "l00123" name = "l00123" > < / a > < span class = "lineno" > 123< / span > < span class = "comment" > // And write the output< / span > < / div >
< div class = "line" > < a id = "l00124" name = "l00124" > < / a > < span class = "lineno" > 124< / span > < span class = "keywordflow" > if< / span > (simd_lid == 0) {< / div >
< div class = "line" > < a id = "l00125" name = "l00125" > < / a > < span class = "lineno" > 125< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < v_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00126" name = "l00126" > < / a > < span class = "lineno" > 126< / span > out[i] = < span class = "keyword" > static_cast< < / span > T< span class = "keyword" > > < / span > (o[i]);< / 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 > }< / div >
< div class = "line" > < a id = "l00129" name = "l00129" > < / a > < span class = "lineno" > 129< / span > }< / div >
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< / div >
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< div class = "line" > < a id = "l00130" name = "l00130" > < / a > < span class = "lineno" > 130< / span > < / div >
< div class = "line" > < a id = "l00131" name = "l00131" > < / a > < span class = "lineno" > 131< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > T, < span class = "keywordtype" > int< / span > D, < span class = "keywordtype" > int< / span > V = D> < / div >
< div class = "foldopen" id = "foldopen00132" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00132" name = "l00132" > < / a > < span class = "lineno" > < a class = "line" href = "sdpa__vector_8h.html#aae1a2f23b03e24734805b08ebc5c1a59" > 132< / a > < / span > [[kernel]] < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "sdpa__vector_8h.html#aae1a2f23b03e24734805b08ebc5c1a59" > sdpa_vector_2pass_1< / a > (< / div >
< div class = "line" > < a id = "l00133" name = "l00133" > < / a > < span class = "lineno" > 133< / span > < span class = "keyword" > const< / span > device T* queries [[buffer(0)]],< / div >
< div class = "line" > < a id = "l00134" name = "l00134" > < / a > < span class = "lineno" > 134< / span > < span class = "keyword" > const< / span > device T* keys [[buffer(1)]],< / div >
< div class = "line" > < a id = "l00135" name = "l00135" > < / a > < span class = "lineno" > 135< / span > < span class = "keyword" > const< / span > device T* values [[buffer(2)]],< / div >
< div class = "line" > < a id = "l00136" name = "l00136" > < / a > < span class = "lineno" > 136< / span > device < span class = "keywordtype" > float< / span > * out [[buffer(3)]],< / div >
< div class = "line" > < a id = "l00137" name = "l00137" > < / a > < span class = "lineno" > 137< / span > device < span class = "keywordtype" > float< / span > * sums [[buffer(4)]],< / div >
< div class = "line" > < a id = "l00138" name = "l00138" > < / a > < span class = "lineno" > 138< / span > device < span class = "keywordtype" > float< / span > * maxs [[buffer(5)]],< / div >
< div class = "line" > < a id = "l00139" name = "l00139" > < / a > < span class = "lineno" > 139< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > int< / span > & gqa_factor,< / div >
< div class = "line" > < a id = "l00140" name = "l00140" > < / a > < span class = "lineno" > 140< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > int< / span > & N,< / div >
< div class = "line" > < a id = "l00141" name = "l00141" > < / a > < span class = "lineno" > 141< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > size_t< / span > & k_stride,< / div >
< div class = "line" > < a id = "l00142" name = "l00142" > < / a > < span class = "lineno" > 142< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > size_t< / span > & v_stride,< / div >
< div class = "line" > < a id = "l00143" name = "l00143" > < / a > < span class = "lineno" > 143< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > float< / span > & scale,< / div >
< div class = "line" > < a id = "l00144" name = "l00144" > < / a > < span class = "lineno" > 144< / span > < span class = "keyword" > const< / span > device < span class = "keywordtype" > bool< / span > * mask [[function_constant(< a class = "code hl_variable" href = "sdpa__vector_8h.html#a6ed0dd113fe7d471fc0b869b8c028c81" > has_mask< / a > )]],< / div >
< div class = "line" > < a id = "l00145" name = "l00145" > < / a > < span class = "lineno" > 145< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > int< / span > & mask_seq_stride [[function_constant(< a class = "code hl_variable" href = "sdpa__vector_8h.html#a6ed0dd113fe7d471fc0b869b8c028c81" > has_mask< / a > )]],< / div >
< div class = "line" > < a id = "l00146" name = "l00146" > < / a > < span class = "lineno" > 146< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > int< / span > & mask_head_stride [[function_constant(< a class = "code hl_variable" href = "sdpa__vector_8h.html#a6ed0dd113fe7d471fc0b869b8c028c81" > has_mask< / a > )]],< / div >
< div class = "line" > < a id = "l00147" name = "l00147" > < / a > < span class = "lineno" > 147< / span > uint3 tid [[threadgroup_position_in_grid]],< / div >
< div class = "line" > < a id = "l00148" name = "l00148" > < / a > < span class = "lineno" > 148< / span > uint simd_gid [[simdgroup_index_in_threadgroup]],< / div >
< div class = "line" > < a id = "l00149" name = "l00149" > < / a > < span class = "lineno" > 149< / span > uint simd_lid [[thread_index_in_simdgroup]]) {< / div >
< div class = "line" > < a id = "l00150" name = "l00150" > < / a > < span class = "lineno" > 150< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > BN = 8;< / div >
< div class = "line" > < a id = "l00151" name = "l00151" > < / a > < span class = "lineno" > 151< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > BD = 32;< / div >
< div class = "line" > < a id = "l00152" name = "l00152" > < / a > < span class = "lineno" > 152< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > qk_per_thread = D / BD;< / div >
< div class = "line" > < a id = "l00153" name = "l00153" > < / a > < span class = "lineno" > 153< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > v_per_thread = V / BD;< / div >
< div class = "line" > < a id = "l00154" name = "l00154" > < / a > < span class = "lineno" > 154< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > inner_k_stride = BN * D;< / div >
< div class = "line" > < a id = "l00155" name = "l00155" > < / a > < span class = "lineno" > 155< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > inner_v_stride = BN * V;< / div >
< div class = "line" > < a id = "l00156" name = "l00156" > < / a > < span class = "lineno" > 156< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > blocks = 32;< / div >
< div class = "line" > < a id = "l00157" name = "l00157" > < / a > < span class = "lineno" > 157< / span > < / div >
< div class = "line" > < a id = "l00158" name = "l00158" > < / a > < span class = "lineno" > 158< / span > < span class = "keyword" > typedef< / span > < span class = "keywordtype" > float< / span > U;< / div >
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< div class = "line" > < a id = "l00159" name = "l00159" > < / a > < span class = "lineno" > 159< / span > < / div >
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< div class = "line" > < a id = "l00160" name = "l00160" > < / a > < span class = "lineno" > 160< / span > thread U q[qk_per_thread];< / div >
< div class = "line" > < a id = "l00161" name = "l00161" > < / a > < span class = "lineno" > 161< / span > thread U k[qk_per_thread];< / div >
< div class = "line" > < a id = "l00162" name = "l00162" > < / a > < span class = "lineno" > 162< / span > thread U o[v_per_thread];< / div >
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< div class = "line" > < a id = "l00163" name = "l00163" > < / a > < span class = "lineno" > 163< / span > < / div >
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< div class = "line" > < a id = "l00164" name = "l00164" > < / a > < span class = "lineno" > 164< / span > threadgroup U outputs[BN * BD];< / div >
< div class = "line" > < a id = "l00165" name = "l00165" > < / a > < span class = "lineno" > 165< / span > threadgroup U max_scores[BN];< / div >
< div class = "line" > < a id = "l00166" name = "l00166" > < / a > < span class = "lineno" > 166< / span > threadgroup U sum_exp_scores[BN];< / div >
< div class = "line" > < a id = "l00167" name = "l00167" > < / a > < span class = "lineno" > 167< / span > < / div >
< div class = "line" > < a id = "l00168" name = "l00168" > < / a > < span class = "lineno" > 168< / span > < span class = "comment" > // Adjust positions< / span > < / div >
< div class = "line" > < a id = "l00169" name = "l00169" > < / a > < span class = "lineno" > 169< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > block_idx = tid.z;< / div >
< div class = "line" > < a id = "l00170" name = "l00170" > < / a > < span class = "lineno" > 170< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > head_idx = tid.y;< / div >
< div class = "line" > < a id = "l00171" name = "l00171" > < / a > < span class = "lineno" > 171< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > kv_head_idx = head_idx / gqa_factor;< / div >
< div class = "line" > < a id = "l00172" name = "l00172" > < / a > < span class = "lineno" > 172< / span > queries += head_idx * D + simd_lid * qk_per_thread;< / div >
< div class = "line" > < a id = "l00173" name = "l00173" > < / a > < span class = "lineno" > 173< / span > keys += kv_head_idx * k_stride + (block_idx * BN + simd_gid) * D +< / div >
< div class = "line" > < a id = "l00174" name = "l00174" > < / a > < span class = "lineno" > 174< / span > simd_lid * qk_per_thread;< / div >
< div class = "line" > < a id = "l00175" name = "l00175" > < / a > < span class = "lineno" > 175< / span > values += kv_head_idx * v_stride + (block_idx * BN + simd_gid) * V +< / div >
< div class = "line" > < a id = "l00176" name = "l00176" > < / a > < span class = "lineno" > 176< / span > simd_lid * v_per_thread;< / div >
< div class = "line" > < a id = "l00177" name = "l00177" > < / a > < span class = "lineno" > 177< / span > out += head_idx * blocks * V + block_idx * V + simd_lid * v_per_thread;< / div >
< div class = "line" > < a id = "l00178" name = "l00178" > < / a > < span class = "lineno" > 178< / 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 = "l00179" name = "l00179" > < / a > < span class = "lineno" > 179< / span > mask += head_idx * mask_head_stride +< / div >
< div class = "line" > < a id = "l00180" name = "l00180" > < / a > < span class = "lineno" > 180< / span > (block_idx * BN + simd_gid) * mask_seq_stride;< / 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 > sums += head_idx * blocks + block_idx;< / div >
< div class = "line" > < a id = "l00183" name = "l00183" > < / a > < span class = "lineno" > 183< / span > maxs += head_idx * blocks + block_idx;< / div >
< div class = "line" > < a id = "l00184" name = "l00184" > < / a > < span class = "lineno" > 184< / span > < / div >
< div class = "line" > < a id = "l00185" name = "l00185" > < / a > < span class = "lineno" > 185< / span > < span class = "comment" > // Read the query and 0 the output accumulator< / span > < / div >
< div class = "line" > < a id = "l00186" name = "l00186" > < / a > < span class = "lineno" > 186< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < qk_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00187" name = "l00187" > < / a > < span class = "lineno" > 187< / span > q[i] = < span class = "keyword" > static_cast< < / span > U< span class = "keyword" > > < / span > (scale) * queries[i];< / div >
< div class = "line" > < a id = "l00188" name = "l00188" > < / a > < span class = "lineno" > 188< / span > }< / div >
< div class = "line" > < a id = "l00189" name = "l00189" > < / a > < span class = "lineno" > 189< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < v_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00190" name = "l00190" > < / a > < span class = "lineno" > 190< / span > o[i] = 0;< / 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 > < / div >
< div class = "line" > < a id = "l00193" name = "l00193" > < / a > < span class = "lineno" > 193< / span > U max_score = -1e9;< / div >
< div class = "line" > < a id = "l00194" name = "l00194" > < / a > < span class = "lineno" > 194< / span > U sum_exp_score = 0;< / div >
< div class = "line" > < a id = "l00195" name = "l00195" > < / a > < span class = "lineno" > 195< / span > < / div >
< div class = "line" > < a id = "l00196" name = "l00196" > < / a > < span class = "lineno" > 196< / span > < span class = "comment" > // For each key< / span > < / div >
< div class = "line" > < a id = "l00197" name = "l00197" > < / a > < span class = "lineno" > 197< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = block_idx * BN + simd_gid; i < N; i += blocks * BN) {< / 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 = "sdpa__vector_8h.html#a6ed0dd113fe7d471fc0b869b8c028c81" > has_mask< / a > || mask[0]) {< / div >
< div class = "line" > < a id = "l00199" name = "l00199" > < / a > < span class = "lineno" > 199< / span > < span class = "comment" > // Read the key< / span > < / div >
< div class = "line" > < a id = "l00200" name = "l00200" > < / a > < span class = "lineno" > 200< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < qk_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00201" name = "l00201" > < / a > < span class = "lineno" > 201< / span > k[i] = keys[i];< / 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 > < / div >
< div class = "line" > < a id = "l00204" name = "l00204" > < / a > < span class = "lineno" > 204< / span > < span class = "comment" > // Compute the i-th score< / span > < / div >
< div class = "line" > < a id = "l00205" name = "l00205" > < / a > < span class = "lineno" > 205< / span > U score = 0;< / div >
< div class = "line" > < a id = "l00206" name = "l00206" > < / a > < span class = "lineno" > 206< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < qk_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00207" name = "l00207" > < / a > < span class = "lineno" > 207< / span > score += q[i] * k[i];< / div >
< div class = "line" > < a id = "l00208" name = "l00208" > < / a > < span class = "lineno" > 208< / span > }< / div >
< div class = "line" > < a id = "l00209" name = "l00209" > < / a > < span class = "lineno" > 209< / span > score = < a class = "code hl_function" href = "namespacemetal.html#a85181e37a00cb4a4217f1bb25389bce5" > simd_sum< / a > (score);< / 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" > // Update the accumulators< / span > < / div >
< div class = "line" > < a id = "l00212" name = "l00212" > < / a > < span class = "lineno" > 212< / span > U new_max = < a class = "code hl_function" href = "namespacemetal.html#a853c80479ab2264d9c4587c7bcac767b" > max< / a > (max_score, score);< / div >
< div class = "line" > < a id = "l00213" name = "l00213" > < / a > < span class = "lineno" > 213< / span > U factor = < a class = "code hl_function" href = "namespacemetal_1_1fast.html#ad3dbd387b63373c29e3449609f763ede" > fast::exp< / a > (max_score - new_max);< / div >
< div class = "line" > < a id = "l00214" name = "l00214" > < / a > < span class = "lineno" > 214< / span > U exp_score = < a class = "code hl_function" href = "namespacemetal_1_1fast.html#ad3dbd387b63373c29e3449609f763ede" > fast::exp< / a > (score - new_max);< / 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 > max_score = new_max;< / div >
< div class = "line" > < a id = "l00217" name = "l00217" > < / a > < span class = "lineno" > 217< / span > sum_exp_score = sum_exp_score * factor + exp_score;< / div >
< div class = "line" > < a id = "l00218" name = "l00218" > < / a > < span class = "lineno" > 218< / span > < / div >
< div class = "line" > < a id = "l00219" name = "l00219" > < / a > < span class = "lineno" > 219< / span > < span class = "comment" > // Update the output accumulator< / span > < / div >
< div class = "line" > < a id = "l00220" name = "l00220" > < / a > < span class = "lineno" > 220< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < v_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00221" name = "l00221" > < / a > < span class = "lineno" > 221< / span > o[i] = o[i] * factor + exp_score * values[i];< / div >
< div class = "line" > < a id = "l00222" name = "l00222" > < / a > < span class = "lineno" > 222< / span > }< / div >
< div class = "line" > < a id = "l00223" name = "l00223" > < / a > < span class = "lineno" > 223< / span > }< / div >
< div class = "line" > < a id = "l00224" name = "l00224" > < / a > < span class = "lineno" > 224< / span > < / div >
< div class = "line" > < a id = "l00225" name = "l00225" > < / a > < span class = "lineno" > 225< / span > < span class = "comment" > // Move the pointers to the next kv< / span > < / div >
< div class = "line" > < a id = "l00226" name = "l00226" > < / a > < span class = "lineno" > 226< / span > keys += blocks * inner_k_stride;< / div >
< div class = "line" > < a id = "l00227" name = "l00227" > < / a > < span class = "lineno" > 227< / span > values += blocks * inner_v_stride;< / div >
< div class = "line" > < a id = "l00228" name = "l00228" > < / a > < span class = "lineno" > 228< / 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 = "l00229" name = "l00229" > < / a > < span class = "lineno" > 229< / span > mask += BN * blocks * mask_seq_stride;< / div >
< div class = "line" > < a id = "l00230" name = "l00230" > < / a > < span class = "lineno" > 230< / span > }< / 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 > < / div >
< div class = "line" > < a id = "l00233" name = "l00233" > < / a > < span class = "lineno" > 233< / span > < span class = "comment" > // Each thread has a partial part of the output so we need to combine them.< / 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 = "comment" > // First let' s communicate the max and sum_exp< / span > < / div >
< div class = "line" > < a id = "l00236" name = "l00236" > < / a > < span class = "lineno" > 236< / span > < span class = "keywordflow" > if< / span > (simd_lid == 0) {< / div >
< div class = "line" > < a id = "l00237" name = "l00237" > < / a > < span class = "lineno" > 237< / span > max_scores[simd_gid] = max_score;< / div >
< div class = "line" > < a id = "l00238" name = "l00238" > < / a > < span class = "lineno" > 238< / span > sum_exp_scores[simd_gid] = sum_exp_score;< / 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 > threadgroup_barrier(mem_flags::mem_threadgroup);< / div >
< div class = "line" > < a id = "l00241" name = "l00241" > < / a > < span class = "lineno" > 241< / span > max_score = (simd_lid < BN) ? max_scores[simd_lid] : -1e9;< / div >
< div class = "line" > < a id = "l00242" name = "l00242" > < / a > < span class = "lineno" > 242< / span > U new_max = < a class = "code hl_function" href = "namespacemetal.html#a048cad0aca52cb737ebf103e76bd1c49" > simd_max< / a > (max_score);< / div >
< div class = "line" > < a id = "l00243" name = "l00243" > < / a > < span class = "lineno" > 243< / span > U factor = < a class = "code hl_function" href = "namespacemetal_1_1fast.html#ad3dbd387b63373c29e3449609f763ede" > fast::exp< / a > (max_score - new_max);< / div >
< div class = "line" > < a id = "l00244" name = "l00244" > < / a > < span class = "lineno" > 244< / span > sum_exp_score = (simd_lid < BN) ? sum_exp_scores[simd_lid] : 0;< / div >
< div class = "line" > < a id = "l00245" name = "l00245" > < / a > < span class = "lineno" > 245< / span > sum_exp_score = < a class = "code hl_function" href = "namespacemetal.html#a85181e37a00cb4a4217f1bb25389bce5" > simd_sum< / a > (sum_exp_score * factor);< / div >
< div class = "line" > < a id = "l00246" name = "l00246" > < / a > < span class = "lineno" > 246< / span > < / div >
< div class = "line" > < a id = "l00247" name = "l00247" > < / a > < span class = "lineno" > 247< / span > < span class = "comment" > // Write the sum and new max< / span > < / div >
< div class = "line" > < a id = "l00248" name = "l00248" > < / a > < span class = "lineno" > 248< / span > < span class = "keywordflow" > if< / span > (simd_gid == 0) {< / div >
< div class = "line" > < a id = "l00249" name = "l00249" > < / a > < span class = "lineno" > 249< / span > sums[0] = sum_exp_score;< / div >
< div class = "line" > < a id = "l00250" name = "l00250" > < / a > < span class = "lineno" > 250< / span > maxs[0] = new_max;< / 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 > < / div >
< div class = "line" > < a id = "l00253" name = "l00253" > < / a > < span class = "lineno" > 253< / span > < span class = "comment" > // Now we need to aggregate all the outputs< / span > < / div >
< div class = "line" > < a id = "l00254" name = "l00254" > < / a > < span class = "lineno" > 254< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < v_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00255" name = "l00255" > < / a > < span class = "lineno" > 255< / span > outputs[simd_lid * BN + simd_gid] =< / div >
< div class = "line" > < a id = "l00256" name = "l00256" > < / a > < span class = "lineno" > 256< / span > o[i] * < a class = "code hl_function" href = "namespacemetal_1_1fast.html#ad3dbd387b63373c29e3449609f763ede" > fast::exp< / a > (max_scores[simd_gid] - new_max);< / div >
< div class = "line" > < a id = "l00257" name = "l00257" > < / a > < span class = "lineno" > 257< / span > threadgroup_barrier(mem_flags::mem_threadgroup);< / div >
< div class = "line" > < a id = "l00258" name = "l00258" > < / a > < span class = "lineno" > 258< / span > < / div >
< div class = "line" > < a id = "l00259" name = "l00259" > < / a > < span class = "lineno" > 259< / span > < span class = "comment" > // And write the output< / span > < / div >
< div class = "line" > < a id = "l00260" name = "l00260" > < / a > < span class = "lineno" > 260< / span > < span class = "keywordflow" > if< / span > (simd_gid == 0) {< / div >
< div class = "line" > < a id = "l00261" name = "l00261" > < / a > < span class = "lineno" > 261< / span > U output = outputs[simd_lid * BN];< / div >
< div class = "line" > < a id = "l00262" name = "l00262" > < / a > < span class = "lineno" > 262< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > j = 1; j < BN; j++) {< / div >
< div class = "line" > < a id = "l00263" name = "l00263" > < / a > < span class = "lineno" > 263< / span > output += outputs[simd_lid * BN + j];< / 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 > out[i] = < span class = "keyword" > static_cast< < / span > T< span class = "keyword" > > < / span > (output);< / 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 > threadgroup_barrier(mem_flags::mem_threadgroup);< / 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 > }< / div >
2024-11-23 04:24:16 +08:00
< / div >
2025-02-07 04:16:29 +08:00
< 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 = "keyword" > template< / span > < < span class = "keyword" > typename< / span > T, < span class = "keywordtype" > int< / span > D> < / div >
< div class = "foldopen" id = "foldopen00272" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00272" name = "l00272" > < / a > < span class = "lineno" > < a class = "line" href = "sdpa__vector_8h.html#a1368cf3618a4e03dbf743b3463205efe" > 272< / a > < / span > [[kernel]] < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "sdpa__vector_8h.html#a1368cf3618a4e03dbf743b3463205efe" > sdpa_vector_2pass_2< / a > (< / div >
< div class = "line" > < a id = "l00273" name = "l00273" > < / a > < span class = "lineno" > 273< / span > < span class = "keyword" > const< / span > device < span class = "keywordtype" > float< / span > * partials [[buffer(0)]],< / div >
< div class = "line" > < a id = "l00274" name = "l00274" > < / a > < span class = "lineno" > 274< / span > < span class = "keyword" > const< / span > device < span class = "keywordtype" > float< / span > * sums [[buffer(1)]],< / div >
< div class = "line" > < a id = "l00275" name = "l00275" > < / a > < span class = "lineno" > 275< / span > < span class = "keyword" > const< / span > device < span class = "keywordtype" > float< / span > * maxs [[buffer(2)]],< / div >
< div class = "line" > < a id = "l00276" name = "l00276" > < / a > < span class = "lineno" > 276< / span > device T* out [[buffer(3)]],< / div >
< div class = "line" > < a id = "l00277" name = "l00277" > < / a > < span class = "lineno" > 277< / span > uint3 tid [[threadgroup_position_in_grid]],< / div >
< div class = "line" > < a id = "l00278" name = "l00278" > < / a > < span class = "lineno" > 278< / span > uint simd_gid [[simdgroup_index_in_threadgroup]],< / div >
< div class = "line" > < a id = "l00279" name = "l00279" > < / a > < span class = "lineno" > 279< / span > uint simd_lid [[thread_index_in_simdgroup]]) {< / div >
< div class = "line" > < a id = "l00280" name = "l00280" > < / a > < span class = "lineno" > 280< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > BN = 32;< / div >
< div class = "line" > < a id = "l00281" name = "l00281" > < / a > < span class = "lineno" > 281< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > BD = 32;< / div >
< div class = "line" > < a id = "l00282" name = "l00282" > < / a > < span class = "lineno" > 282< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > elem_per_thread = D / BD;< / div >
< div class = "line" > < a id = "l00283" name = "l00283" > < / a > < span class = "lineno" > 283< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > blocks = 32;< / 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 > < span class = "keyword" > typedef< / span > < span class = "keywordtype" > float< / span > U;< / 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 > thread U o[elem_per_thread];< / div >
< div class = "line" > < a id = "l00288" name = "l00288" > < / a > < span class = "lineno" > 288< / span > threadgroup U outputs[BN * BD];< / 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 > < span class = "comment" > // Adjust positions< / span > < / div >
< div class = "line" > < a id = "l00291" name = "l00291" > < / a > < span class = "lineno" > 291< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > head_idx = tid.y;< / div >
< div class = "line" > < a id = "l00292" name = "l00292" > < / a > < span class = "lineno" > 292< / span > partials += head_idx * blocks * D + simd_gid * D + simd_lid * elem_per_thread;< / div >
< div class = "line" > < a id = "l00293" name = "l00293" > < / a > < span class = "lineno" > 293< / span > sums += head_idx * blocks;< / div >
< div class = "line" > < a id = "l00294" name = "l00294" > < / a > < span class = "lineno" > 294< / span > maxs += head_idx * blocks;< / div >
< div class = "line" > < a id = "l00295" name = "l00295" > < / a > < span class = "lineno" > 295< / span > out += head_idx * D + simd_gid * elem_per_thread;< / 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 > < span class = "comment" > // First everybody reads the max and sum_exp< / span > < / div >
< div class = "line" > < a id = "l00298" name = "l00298" > < / a > < span class = "lineno" > 298< / span > U max_score = maxs[simd_lid];< / div >
< div class = "line" > < a id = "l00299" name = "l00299" > < / a > < span class = "lineno" > 299< / span > U new_max = < a class = "code hl_function" href = "namespacemetal.html#a048cad0aca52cb737ebf103e76bd1c49" > simd_max< / a > (max_score);< / div >
< div class = "line" > < a id = "l00300" name = "l00300" > < / a > < span class = "lineno" > 300< / span > U factor = < a class = "code hl_function" href = "namespacemetal_1_1fast.html#ad3dbd387b63373c29e3449609f763ede" > fast::exp< / a > (max_score - new_max);< / div >
< div class = "line" > < a id = "l00301" name = "l00301" > < / a > < span class = "lineno" > 301< / span > U sum_exp_score = < a class = "code hl_function" href = "namespacemetal.html#a85181e37a00cb4a4217f1bb25389bce5" > simd_sum< / a > (sums[simd_lid] * factor);< / 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 > < span class = "comment" > // Now read the block into registers and then use shared memory to transpose< / span > < / div >
< div class = "line" > < a id = "l00304" name = "l00304" > < / a > < span class = "lineno" > 304< / span > < span class = "comment" > // it< / span > < / div >
< div class = "line" > < a id = "l00305" name = "l00305" > < / a > < span class = "lineno" > 305< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < elem_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00306" name = "l00306" > < / a > < span class = "lineno" > 306< / span > o[i] = partials[i];< / 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 = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < elem_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00309" name = "l00309" > < / a > < span class = "lineno" > 309< / span > outputs[simd_lid * BD + simd_gid] = o[i];< / div >
< div class = "line" > < a id = "l00310" name = "l00310" > < / a > < span class = "lineno" > 310< / span > threadgroup_barrier(mem_flags::mem_threadgroup);< / div >
< div class = "line" > < a id = "l00311" name = "l00311" > < / a > < span class = "lineno" > 311< / span > o[i] = < a class = "code hl_function" href = "namespacemetal.html#a85181e37a00cb4a4217f1bb25389bce5" > simd_sum< / a > (outputs[simd_gid * BD + simd_lid] * factor) / sum_exp_score;< / div >
< div class = "line" > < a id = "l00312" name = "l00312" > < / a > < span class = "lineno" > 312< / span > threadgroup_barrier(mem_flags::mem_threadgroup);< / 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" > // And write the output< / span > < / div >
< div class = "line" > < a id = "l00316" name = "l00316" > < / a > < span class = "lineno" > 316< / span > < span class = "keywordflow" > if< / span > (simd_lid == 0) {< / div >
< div class = "line" > < a id = "l00317" name = "l00317" > < / a > < span class = "lineno" > 317< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < elem_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00318" name = "l00318" > < / a > < span class = "lineno" > 318< / span > out[i] = < span class = "keyword" > static_cast< < / span > T< span class = "keyword" > > < / span > (o[i]);< / div >
< div class = "line" > < a id = "l00319" name = "l00319" > < / a > < span class = "lineno" > 319< / span > }< / 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 > }< / div >
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< / div >
< div class = "ttc" id = "anamespacemetal_1_1fast_html_ad3dbd387b63373c29e3449609f763ede" > < div class = "ttname" > < a href = "namespacemetal_1_1fast.html#ad3dbd387b63373c29e3449609f763ede" > metal::fast::exp< / a > < / div > < div class = "ttdeci" > METAL_FUNC bfloat16_t exp(bfloat16_t x)< / div > < div class = "ttdef" > < b > Definition< / b > bf16_math.h:240< / div > < / div >
< div class = "ttc" id = "anamespacemetal_html" > < div class = "ttname" > < a href = "namespacemetal.html" > metal< / a > < / div > < div class = "ttdef" > < b > Definition< / b > bf16_math.h:226< / div > < / div >
< div class = "ttc" id = "anamespacemetal_html_a048cad0aca52cb737ebf103e76bd1c49" > < div class = "ttname" > < a href = "namespacemetal.html#a048cad0aca52cb737ebf103e76bd1c49" > metal::simd_max< / a > < / div > < div class = "ttdeci" > METAL_FUNC bfloat16_t simd_max(bfloat16_t data)< / div > < div class = "ttdef" > < b > Definition< / b > bf16_math.h:378< / div > < / div >
< div class = "ttc" id = "anamespacemetal_html_a85181e37a00cb4a4217f1bb25389bce5" > < div class = "ttname" > < a href = "namespacemetal.html#a85181e37a00cb4a4217f1bb25389bce5" > metal::simd_sum< / a > < / div > < div class = "ttdeci" > METAL_FUNC bfloat16_t simd_sum(bfloat16_t data)< / div > < div class = "ttdef" > < b > Definition< / b > bf16_math.h:378< / 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 >
2025-02-07 04:16:29 +08:00
< div class = "ttc" id = "asdpa__vector_8h_html_a1368cf3618a4e03dbf743b3463205efe" > < div class = "ttname" > < a href = "sdpa__vector_8h.html#a1368cf3618a4e03dbf743b3463205efe" > sdpa_vector_2pass_2< / a > < / div > < div class = "ttdeci" > void sdpa_vector_2pass_2(const device float *partials, const device float *sums, const device float *maxs, device T *out, uint3 tid, uint simd_gid, uint simd_lid)< / div > < div class = "ttdef" > < b > Definition< / b > sdpa_vector.h:272< / div > < / div >
2025-01-10 05:56:20 +08:00
< 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 >
2025-02-07 04:16:29 +08:00
< div class = "ttc" id = "asdpa__vector_8h_html_a826f7a3c7ab843abc0842241db3e57b3" > < div class = "ttname" > < a href = "sdpa__vector_8h.html#a826f7a3c7ab843abc0842241db3e57b3" > sdpa_vector< / a > < / div > < div class = "ttdeci" > void sdpa_vector(const device T *queries, const device T *keys, const device T *values, device T *out, const constant int & gqa_factor, const constant int & N, const constant size_t & k_stride, const constant size_t & v_stride, const constant float & scale, const device bool *mask, const constant int & mask_seq_stride, const constant int & mask_head_stride, uint3 tid, uint simd_gid, uint simd_lid)< / div > < div class = "ttdef" > < b > Definition< / b > sdpa_vector.h:10< / div > < / div >
< div class = "ttc" id = "asdpa__vector_8h_html_aae1a2f23b03e24734805b08ebc5c1a59" > < div class = "ttname" > < a href = "sdpa__vector_8h.html#aae1a2f23b03e24734805b08ebc5c1a59" > sdpa_vector_2pass_1< / a > < / div > < div class = "ttdeci" > void sdpa_vector_2pass_1(const device T *queries, const device T *keys, const device T *values, device float *out, device float *sums, device float *maxs, const constant int & gqa_factor, const constant int & N, const constant size_t & k_stride, const constant size_t & v_stride, const constant float & scale, const device bool *mask, const constant int & mask_seq_stride, const constant int & mask_head_stride, uint3 tid, uint simd_gid, uint simd_lid)< / div > < div class = "ttdef" > < b > Definition< / b > sdpa_vector.h:132< / div > < / div >
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