D5a: Fix LSE formula - lse = ln(row_sum) + row_max * ln(2)
row_max is in scale_log2 domain, need to convert to natural log domain. attn_max = row_max * ln(2), so lse = ln(row_sum) + row_max * ln(2).
This commit is contained in:
@@ -445,14 +445,17 @@ class FmhaKernel:
|
||||
c_pipe.producer_tail()
|
||||
|
||||
# D5a: Write LSE (log-softmax) when normalize=False
|
||||
# lse = log(row_sum) + row_max_safe (row_max in scaled domain)
|
||||
# Only thread 0 of the epilogue warps writes LSE for this tile.
|
||||
# lse = ln(row_sum) + attn_max
|
||||
# row_max is in the scale_log2 domain: max(S * scale * log2(e))
|
||||
# attn_max = row_max * ln(2) (converting log2 domain to natural log domain)
|
||||
# So lse = ln(row_sum) + row_max * ln(2)
|
||||
if const_expr(not self.normalize):
|
||||
_row_max_safe = row_max
|
||||
if row_max == -cutlass.Float32.inf:
|
||||
_row_max_safe = Float32(0.0)
|
||||
if sfw_idx == 0:
|
||||
lse_val = cute.math.log(row_sum, fastmath=True) + _row_max_safe
|
||||
_ln2 = Float32(0.6931471805599453) # ln(2)
|
||||
lse_val = cute.math.log(row_sum, fastmath=True) + _row_max_safe * _ln2
|
||||
# Write LSE to GMEM: mLSE is a (1,1,1) FP32 tensor
|
||||
mLSE[0, 0, 0] = lse_val
|
||||
|
||||
|
||||
Reference in New Issue
Block a user