flush softmax exp below threshold to 0
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6a3b84236d
commit
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1 changed files with 19 additions and 7 deletions
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@ -3,8 +3,9 @@
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#include <mma.h>
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#define FATTN_KQ_STRIDE 256
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#define HALF_MAX_HALF __float2half(65504.0f/2) // Use neg. of this instead of -INFINITY to initialize KQ max vals to avoid NaN upon subtraction.
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#define FATTN_KQ_STRIDE 256
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#define HALF_MAX_HALF __float2half(65504.0f/2) // Use neg. of this instead of -INFINITY to initialize KQ max vals to avoid NaN upon subtraction.
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#define SOFTMAX_FTZ_THRESHOLD -20.0f // Softmax exp. of values smaller than this are flushed to zero to avoid NaNs.
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template<int D, int parallel_blocks> // D == head size
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__launch_bounds__(((D + WARP_SIZE - 1) / WARP_SIZE)*WARP_SIZE, 1)
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@ -338,10 +339,16 @@ static __global__ void flash_attn_ext_f16(
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#pragma unroll
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for (int k0 = 0; k0 < FATTN_KQ_STRIDE/2; k0 += WARP_SIZE) {
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const int k = k0 + threadIdx.x;
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KQ_max_new = __hmax2(KQ_max_new, KQ2[j*(kqs_padded/2) + k]);
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half2 val = KQ2[j*(kqs_padded/2) + k];
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val += mask ? mask2[(j*ne11 + k_VKQ_0)/2 + k] : make_half2(0.0f, 0.0f);
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KQ_max_new = __hmax2(KQ_max_new, val);
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KQ2[j*(kqs_padded/2) + k] = val;
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}
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KQ_max_new = __half2half2(warp_reduce_max(__hmax(__low2half(KQ_max_new), __high2half(KQ_max_new))));
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KQ_max_scale[j0/nwarps] = h2exp(KQ_max[j0/nwarps] - KQ_max_new);
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const half2 diff = KQ_max[j0/nwarps] - KQ_max_new;
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KQ_max_scale[j0/nwarps] = h2exp(diff);
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const uint ftz_mask = __hgt2_mask(diff, make_half2(SOFTMAX_FTZ_THRESHOLD, SOFTMAX_FTZ_THRESHOLD));
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*((uint *) &KQ_max_scale[j0/nwarps]) &= ftz_mask;
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KQ_max[j0/nwarps] = KQ_max_new;
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half2 KQ_rowsum_add = make_half2(0.0f, 0.0f);
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@ -350,8 +357,10 @@ static __global__ void flash_attn_ext_f16(
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const int k = k0 + threadIdx.x;
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half2 val = KQ2[j*(kqs_padded/2) + k];
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val += mask ? mask2[(j*ne11 + k_VKQ_0)/2 + k] : make_half2(0.0f, 0.0f);
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val = h2exp(val - KQ_max[j0/nwarps]);
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const half2 diff = val - KQ_max[j0/nwarps];
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val = h2exp(diff);
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const uint ftz_mask = __hgt2_mask(diff, make_half2(SOFTMAX_FTZ_THRESHOLD, SOFTMAX_FTZ_THRESHOLD));
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*((uint *) &val) &= ftz_mask;
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KQ_rowsum_add += val;
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KQ2[j*(kqs_padded/2) + k] = val;
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}
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@ -501,7 +510,10 @@ static __global__ void flash_attn_combine_results(
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float VKQ_denominator = 0.0f;
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#pragma unroll
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for (int l = 0; l < parallel_blocks; ++l) {
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float KQ_max_scale = hexp(__low2half(meta[l]) - kqmax);
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const half diff = __low2half(meta[l]) - kqmax;
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float KQ_max_scale = hexp(diff);
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const uint ftz_mask = 0xFFFFFFFF * (diff > __float2half(SOFTMAX_FTZ_THRESHOLD));
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*((uint *) &KQ_max_scale) &= ftz_mask;
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VKQ_numerator += KQ_max_scale * VKQ_parts[l*gridDim.y*D + blockIdx.y*D + tid];
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VKQ_denominator += KQ_max_scale * __high2float(meta[l]);
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