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Product features · Integer Walsh–Hadamard transform
01
Discuss paired sums and differences in WalshAster, keeping the unnormalized transform convention explicit.
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Integer Walsh–Hadamard transform
● ● ●WalshAster●
A concrete starting point · Integer Walsh–Hadamard transform ×
def walsh_transform(values):
out = list(values)
n = len(out)
if not 1 <= n <= 256 or n & (n - 1):
raise ValueError("length.power_two")
if any(type(v) is not int or abs(v) > 1000000 for v in out):
raise ValueError("value.range")
step = 1
while step < n:
for start in range(0, n, 2 * step):
for j in range(start, start + step):
a, b = out[j], out[j + step]
out[j], out[j + step] = a + b, a - b
step *= 2
return out✳Apply an unnormalized Walsh–Hadamard transform to a nonempty power-of-two sequence of at most 256 bounded integers.
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