flash.py: Fix row-wise scaling of O, col_to_save

This commit is contained in:
Hansung Kim
2024-08-20 14:49:25 -07:00
parent 615d36a5c2
commit 60aec1de8d

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@@ -50,7 +50,7 @@ if __name__ == "__main__":
if not rand:
A_array = np.arange(seqlen * headdim).reshape([seqlen, headdim])
B_array = np.arange(headdim * seqlen).reshape([headdim, seqlen])
C_array = np.arange(seqlen * seqlen).reshape([seqlen, seqlen])
C_array = np.arange(seqlen * seqlen).reshape([seqlen, headdim])
else:
np.random.seed(0)
A_array = np.random.rand(seqlen, headdim) - 0.5
@@ -94,6 +94,8 @@ if __name__ == "__main__":
def exp2(x):
return (x**2) / 2.0 + x + 1.0
col_to_save = 64
for col in range(0, seqlen, Bc):
print(f"tile iteration {col}~{col + Bc} ======================================")
@@ -102,15 +104,17 @@ if __name__ == "__main__":
K_tile = B_array[:, col:col+Bc]
S = Q_tile @ K_tile
S.astype('float32').tofile("S_expected.bin")
print('S_expected:')
print(S)
if col == col_to_save:
print('S_expected:')
print(S)
S.astype('float32').tofile("S_expected.bin")
# generate rowmax result in online softmax
rowmax_this = np.max(S, axis=1)
rowmax_this.astype('float32').tofile("rowmax.bin")
rowmax_prev = rowmax.copy()
rowmax = np.maximum(rowmax, rowmax_this)
if col == col_to_save:
rowmax.astype('float32').tofile("rowmax.bin")
# subtrace rowmax from each row by broadcasting
# (placeholder for exp)
@@ -119,24 +123,32 @@ if __name__ == "__main__":
# for i in range(3, 4):
# P += (x**i) / np.math.factorial(i)
# P = np.exp(exp)
P.astype('float32').tofile("P_expected.bin")
# print('P error:')
# print(P / np.exp(x))
print('P_expected:')
print(P)
if col == col_to_save:
print('P_expected:')
print(P)
P.astype('float32').tofile("P_expected.bin")
rowsum_this = np.sum(P, axis=1)
x = rowmax_prev - rowmax_this
rowsum = exp2(x) * rowsum + rowsum_this
rowsum.astype('float32').tofile("rowsum.bin")
if col == col_to_save:
rowsum.astype('float32').tofile("rowsum.bin")
x = rowmax_prev - rowmax
O = O / exp2(x)
print("haha")
print(exp2(x))
O = O / (exp2(x)[:, np.newaxis])
if col == col_to_save:
print('O_before_PV:')
print(O)
O.astype('float32').tofile("O_before_PV.bin")
# FIXME
V = C_array[0:64, :]
V = C_array[col:col+Bc, :]
# O = P.transpose([1, 0]) @ V
O = O + P @ V
O.astype('float32').tofile("O_expected.bin")
print('O_expected:')
print(O)
if col == col_to_save:
print('O_after_PV:')
print(O)
O.astype('float32').tofile("O_after_PV.bin")