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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 >
< div class = "line" > < a id = "l00007" name = "l00007" > < / a > < span class = "lineno" > 7< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > T, < span class = "keywordtype" > int< / span > D> < / div >
< div class = "foldopen" id = "foldopen00008" data-start = "{" data-end = "}" >
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< div class = "line" > < a id = "l00008" name = "l00008" > < / a > < span class = "lineno" > < a class = "line" href = "sdpa__vector_8h.html#a4bf36f16e16c1c62d9b243573568e5ae" > 8< / a > < / span > [[kernel]] < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "sdpa__vector_8h.html#a4bf36f16e16c1c62d9b243573568e5ae" > sdpa_vector< / a > (< / div >
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< div class = "line" > < a id = "l00009" name = "l00009" > < / a > < span class = "lineno" > 9< / span > < span class = "keyword" > const< / span > device T* queries [[buffer(0)]],< / div >
< div class = "line" > < a id = "l00010" name = "l00010" > < / a > < span class = "lineno" > 10< / span > < span class = "keyword" > const< / span > device T* keys [[buffer(1)]],< / div >
< div class = "line" > < a id = "l00011" name = "l00011" > < / a > < span class = "lineno" > 11< / span > < span class = "keyword" > const< / span > device T* values [[buffer(2)]],< / div >
< div class = "line" > < a id = "l00012" name = "l00012" > < / a > < span class = "lineno" > 12< / span > device T* out [[buffer(3)]],< / div >
< div class = "line" > < a id = "l00013" name = "l00013" > < / a > < span class = "lineno" > 13< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > int< / span > & gqa_factor,< / div >
< div class = "line" > < a id = "l00014" name = "l00014" > < / a > < span class = "lineno" > 14< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > int< / span > & N,< / div >
< div class = "line" > < a id = "l00015" name = "l00015" > < / a > < span class = "lineno" > 15< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > size_t< / span > & k_stride,< / div >
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< div class = "line" > < a id = "l00016" name = "l00016" > < / a > < span class = "lineno" > 16< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > size_t< / span > & v_stride,< / div >
< div class = "line" > < a id = "l00017" name = "l00017" > < / a > < span class = "lineno" > 17< / span > < span class = "keyword" > const< / span > constant < span class = "keywordtype" > float< / span > & scale,< / div >
< div class = "line" > < a id = "l00018" name = "l00018" > < / a > < span class = "lineno" > 18< / span > uint3 tid [[threadgroup_position_in_grid]],< / div >
< div class = "line" > < a id = "l00019" name = "l00019" > < / a > < span class = "lineno" > 19< / span > uint simd_gid [[simdgroup_index_in_threadgroup]],< / div >
< div class = "line" > < a id = "l00020" name = "l00020" > < / a > < span class = "lineno" > 20< / span > uint simd_lid [[thread_index_in_simdgroup]]) {< / div >
< div class = "line" > < a id = "l00021" name = "l00021" > < / a > < span class = "lineno" > 21< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > BN = 32;< / div >
< div class = "line" > < a id = "l00022" name = "l00022" > < / a > < span class = "lineno" > 22< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > BD = 32;< / div >
< div class = "line" > < a id = "l00023" name = "l00023" > < / a > < span class = "lineno" > 23< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > elem_per_thread = D / BD;< / div >
< div class = "line" > < a id = "l00024" name = "l00024" > < / a > < span class = "lineno" > 24< / span > < / div >
< div class = "line" > < a id = "l00025" name = "l00025" > < / a > < span class = "lineno" > 25< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > stride = BN * D;< / div >
< div class = "line" > < a id = "l00026" name = "l00026" > < / a > < span class = "lineno" > 26< / span > < / div >
< div class = "line" > < a id = "l00027" name = "l00027" > < / a > < span class = "lineno" > 27< / span > < span class = "keyword" > typedef< / span > < span class = "keywordtype" > float< / span > U;< / div >
< div class = "line" > < a id = "l00028" name = "l00028" > < / a > < span class = "lineno" > 28< / span > < / div >
< div class = "line" > < a id = "l00029" name = "l00029" > < / a > < span class = "lineno" > 29< / span > thread U q[elem_per_thread];< / div >
< div class = "line" > < a id = "l00030" name = "l00030" > < / a > < span class = "lineno" > 30< / span > thread U k[elem_per_thread];< / div >
< div class = "line" > < a id = "l00031" name = "l00031" > < / a > < span class = "lineno" > 31< / span > thread U o[elem_per_thread];< / div >
< div class = "line" > < a id = "l00032" name = "l00032" > < / a > < span class = "lineno" > 32< / span > < / div >
< div class = "line" > < a id = "l00033" name = "l00033" > < / a > < span class = "lineno" > 33< / span > threadgroup U outputs[BN * BD];< / div >
< div class = "line" > < a id = "l00034" name = "l00034" > < / a > < span class = "lineno" > 34< / span > threadgroup U max_scores[BN];< / div >
< div class = "line" > < a id = "l00035" name = "l00035" > < / a > < span class = "lineno" > 35< / span > threadgroup U sum_exp_scores[BN];< / div >
< div class = "line" > < a id = "l00036" name = "l00036" > < / a > < span class = "lineno" > 36< / span > < / div >
< div class = "line" > < a id = "l00037" name = "l00037" > < / a > < span class = "lineno" > 37< / span > < span class = "comment" > // Adjust positions< / span > < / div >
< div class = "line" > < a id = "l00038" name = "l00038" > < / a > < span class = "lineno" > 38< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > head_idx = tid.y;< / div >
< div class = "line" > < a id = "l00039" name = "l00039" > < / a > < span class = "lineno" > 39< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > kv_head_idx = head_idx / gqa_factor;< / div >
< div class = "line" > < a id = "l00040" name = "l00040" > < / a > < span class = "lineno" > 40< / span > queries += head_idx * D + simd_lid * elem_per_thread;< / div >
< div class = "line" > < a id = "l00041" name = "l00041" > < / a > < span class = "lineno" > 41< / span > keys += kv_head_idx * k_stride + simd_gid * D + simd_lid * elem_per_thread;< / div >
< div class = "line" > < a id = "l00042" name = "l00042" > < / a > < span class = "lineno" > 42< / span > values += kv_head_idx * v_stride + simd_gid * D + simd_lid * elem_per_thread;< / div >
< div class = "line" > < a id = "l00043" name = "l00043" > < / a > < span class = "lineno" > 43< / span > out += head_idx * D + simd_gid * elem_per_thread;< / div >
< div class = "line" > < a id = "l00044" name = "l00044" > < / a > < span class = "lineno" > 44< / span > < / div >
< div class = "line" > < a id = "l00045" name = "l00045" > < / a > < span class = "lineno" > 45< / span > < span class = "comment" > // Read the query and 0 the output accumulator< / span > < / div >
< div class = "line" > < a id = "l00046" name = "l00046" > < / a > < span class = "lineno" > 46< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < elem_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00047" name = "l00047" > < / a > < span class = "lineno" > 47< / span > q[i] = < span class = "keyword" > static_cast< < / span > U< span class = "keyword" > > < / span > (scale) * queries[i];< / div >
< div class = "line" > < a id = "l00048" name = "l00048" > < / a > < span class = "lineno" > 48< / span > }< / div >
< div class = "line" > < a id = "l00049" name = "l00049" > < / a > < span class = "lineno" > 49< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < elem_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00050" name = "l00050" > < / a > < span class = "lineno" > 50< / span > o[i] = 0;< / 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 > < / div >
< div class = "line" > < a id = "l00053" name = "l00053" > < / a > < span class = "lineno" > 53< / span > U max_score = -INFINITY;< / div >
< div class = "line" > < a id = "l00054" name = "l00054" > < / a > < span class = "lineno" > 54< / span > U sum_exp_score = 0;< / div >
< div class = "line" > < a id = "l00055" name = "l00055" > < / a > < span class = "lineno" > 55< / span > < / div >
< div class = "line" > < a id = "l00056" name = "l00056" > < / a > < span class = "lineno" > 56< / span > < span class = "comment" > // For each key< / span > < / div >
< div class = "line" > < a id = "l00057" name = "l00057" > < / a > < span class = "lineno" > 57< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = simd_gid; i < N; i += BN) {< / div >
< div class = "line" > < a id = "l00058" name = "l00058" > < / a > < span class = "lineno" > 58< / span > < span class = "comment" > // Read the key< / span > < / div >
< div class = "line" > < a id = "l00059" name = "l00059" > < / a > < span class = "lineno" > 59< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < elem_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00060" name = "l00060" > < / a > < span class = "lineno" > 60< / span > k[i] = keys[i];< / 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 > < / div >
< div class = "line" > < a id = "l00063" name = "l00063" > < / a > < span class = "lineno" > 63< / span > < span class = "comment" > // Compute the i-th score< / span > < / div >
< div class = "line" > < a id = "l00064" name = "l00064" > < / a > < span class = "lineno" > 64< / span > U score = 0;< / div >
< div class = "line" > < a id = "l00065" name = "l00065" > < / a > < span class = "lineno" > 65< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < elem_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00066" name = "l00066" > < / a > < span class = "lineno" > 66< / span > score += q[i] * k[i];< / div >
< div class = "line" > < a id = "l00067" name = "l00067" > < / a > < span class = "lineno" > 67< / span > }< / div >
< div class = "line" > < a id = "l00068" name = "l00068" > < / a > < span class = "lineno" > 68< / span > score = < a class = "code hl_function" href = "namespacemetal.html#a85181e37a00cb4a4217f1bb25389bce5" > simd_sum< / a > (score);< / div >
< div class = "line" > < a id = "l00069" name = "l00069" > < / a > < span class = "lineno" > 69< / span > < / div >
< div class = "line" > < a id = "l00070" name = "l00070" > < / a > < span class = "lineno" > 70< / span > < span class = "comment" > // Update the accumulators< / span > < / div >
< div class = "line" > < a id = "l00071" name = "l00071" > < / a > < span class = "lineno" > 71< / span > U new_max = < a class = "code hl_function" href = "namespacemetal.html#a853c80479ab2264d9c4587c7bcac767b" > max< / a > (max_score, score);< / div >
< div class = "line" > < a id = "l00072" name = "l00072" > < / a > < span class = "lineno" > 72< / 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 = "l00073" name = "l00073" > < / a > < span class = "lineno" > 73< / 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 = "l00074" name = "l00074" > < / a > < span class = "lineno" > 74< / span > < / div >
< div class = "line" > < a id = "l00075" name = "l00075" > < / a > < span class = "lineno" > 75< / span > max_score = new_max;< / div >
< div class = "line" > < a id = "l00076" name = "l00076" > < / a > < span class = "lineno" > 76< / span > sum_exp_score = sum_exp_score * factor + exp_score;< / div >
< div class = "line" > < a id = "l00077" name = "l00077" > < / a > < span class = "lineno" > 77< / span > < / div >
< div class = "line" > < a id = "l00078" name = "l00078" > < / a > < span class = "lineno" > 78< / span > < span class = "comment" > // Update the output accumulator< / span > < / div >
< div class = "line" > < a id = "l00079" name = "l00079" > < / a > < span class = "lineno" > 79< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < elem_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00080" name = "l00080" > < / a > < span class = "lineno" > 80< / span > o[i] = o[i] * factor + exp_score * values[i];< / div >
< div class = "line" > < a id = "l00081" name = "l00081" > < / a > < span class = "lineno" > 81< / span > }< / div >
< div class = "line" > < a id = "l00082" name = "l00082" > < / a > < span class = "lineno" > 82< / span > < / div >
< div class = "line" > < a id = "l00083" name = "l00083" > < / a > < span class = "lineno" > 83< / span > < span class = "comment" > // Move the pointers to the next kv< / span > < / div >
< div class = "line" > < a id = "l00084" name = "l00084" > < / a > < span class = "lineno" > 84< / span > keys += stride;< / div >
< div class = "line" > < a id = "l00085" name = "l00085" > < / a > < span class = "lineno" > 85< / span > values += stride;< / 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 > threadgroup_barrier(mem_flags::mem_threadgroup);< / div >
< div class = "line" > < a id = "l00088" name = "l00088" > < / a > < span class = "lineno" > 88< / span > < / div >
< div class = "line" > < a id = "l00089" name = "l00089" > < / a > < span class = "lineno" > 89< / 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 = "l00090" name = "l00090" > < / a > < span class = "lineno" > 90< / span > < / div >
< div class = "line" > < a id = "l00091" name = "l00091" > < / a > < span class = "lineno" > 91< / span > < span class = "comment" > // First let' s communicate the max and sum_exp< / span > < / div >
< div class = "line" > < a id = "l00092" name = "l00092" > < / a > < span class = "lineno" > 92< / span > < span class = "keywordflow" > if< / span > (simd_lid == 0) {< / div >
< div class = "line" > < a id = "l00093" name = "l00093" > < / a > < span class = "lineno" > 93< / span > max_scores[simd_gid] = max_score;< / div >
< div class = "line" > < a id = "l00094" name = "l00094" > < / a > < span class = "lineno" > 94< / span > sum_exp_scores[simd_gid] = sum_exp_score;< / div >
< div class = "line" > < a id = "l00095" name = "l00095" > < / a > < span class = "lineno" > 95< / span > }< / div >
< div class = "line" > < a id = "l00096" name = "l00096" > < / a > < span class = "lineno" > 96< / span > threadgroup_barrier(mem_flags::mem_threadgroup);< / div >
< div class = "line" > < a id = "l00097" name = "l00097" > < / a > < span class = "lineno" > 97< / span > max_score = max_scores[simd_lid];< / div >
< div class = "line" > < a id = "l00098" name = "l00098" > < / a > < span class = "lineno" > 98< / span > U new_max = < a class = "code hl_function" href = "namespacemetal.html#a048cad0aca52cb737ebf103e76bd1c49" > simd_max< / a > (max_score);< / div >
< div class = "line" > < a id = "l00099" name = "l00099" > < / a > < span class = "lineno" > 99< / 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 = "l00100" name = "l00100" > < / a > < span class = "lineno" > 100< / 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 = "l00101" name = "l00101" > < / a > < span class = "lineno" > 101< / span > < / div >
< div class = "line" > < a id = "l00102" name = "l00102" > < / a > < span class = "lineno" > 102< / span > < span class = "comment" > // Now we need to aggregate all the outputs< / span > < / div >
< div class = "line" > < a id = "l00103" name = "l00103" > < / a > < span class = "lineno" > 103< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < elem_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00104" name = "l00104" > < / a > < span class = "lineno" > 104< / span > outputs[simd_lid * BD + simd_gid] = o[i];< / div >
< div class = "line" > < a id = "l00105" name = "l00105" > < / a > < span class = "lineno" > 105< / span > threadgroup_barrier(mem_flags::mem_threadgroup);< / div >
< div class = "line" > < a id = "l00106" name = "l00106" > < / a > < span class = "lineno" > 106< / 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 = "l00107" name = "l00107" > < / a > < span class = "lineno" > 107< / span > threadgroup_barrier(mem_flags::mem_threadgroup);< / 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 > < / div >
< div class = "line" > < a id = "l00110" name = "l00110" > < / a > < span class = "lineno" > 110< / span > < span class = "comment" > // And write the output< / span > < / div >
< div class = "line" > < a id = "l00111" name = "l00111" > < / a > < span class = "lineno" > 111< / span > < span class = "keywordflow" > if< / span > (simd_lid == 0) {< / div >
< div class = "line" > < a id = "l00112" name = "l00112" > < / a > < span class = "lineno" > 112< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < elem_per_thread; i++) {< / div >
< div class = "line" > < a id = "l00113" name = "l00113" > < / a > < span class = "lineno" > 113< / span > out[i] = < span class = "keyword" > static_cast< < / span > T< span class = "keyword" > > < / span > (o[i]);< / div >
< div class = "line" > < a id = "l00114" name = "l00114" > < / a > < span class = "lineno" > 114< / span > }< / div >
< div class = "line" > < a id = "l00115" name = "l00115" > < / a > < span class = "lineno" > 115< / span > }< / div >
< div class = "line" > < a id = "l00116" name = "l00116" > < / a > < span class = "lineno" > 116< / span > }< / div >
2024-10-19 03:13:44 +08:00
< / 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:242< / 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.h:265< / 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:392< / 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:392< / 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:234< / div > < / div >
2024-11-06 03:54:16 +08:00
< div class = "ttc" id = "asdpa__vector_8h_html_a4bf36f16e16c1c62d9b243573568e5ae" > < div class = "ttname" > < a href = "sdpa__vector_8h.html#a4bf36f16e16c1c62d9b243573568e5ae" > 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, uint3 tid, uint simd_gid, uint simd_lid)< / div > < div class = "ttdef" > < b > Definition< / b > sdpa_vector.h:8< / div > < / div >
2024-10-19 03:13:44 +08:00
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