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Update test_pow.py from Cpython v3.11.2 #4891

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Merged
merged 1 commit into from
Apr 18, 2023
Merged

Update test_pow.py from Cpython v3.11.2 #4891

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22 changes: 22 additions & 0 deletions Lib/test/test_pow.py
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Original file line number Diff line number Diff line change
Expand Up @@ -93,6 +93,28 @@ def test_other(self):
pow(int(i),j,k)
)

def test_big_exp(self):
import random
self.assertEqual(pow(2, 50000), 1 << 50000)
# Randomized modular tests, checking the identities
# a**(b1 + b2) == a**b1 * a**b2
# a**(b1 * b2) == (a**b1)**b2
prime = 1000000000039 # for speed, relatively small prime modulus
for i in range(10):
a = random.randrange(1000, 1000000)
bpower = random.randrange(1000, 50000)
b = random.randrange(1 << (bpower - 1), 1 << bpower)
b1 = random.randrange(1, b)
b2 = b - b1
got1 = pow(a, b, prime)
got2 = pow(a, b1, prime) * pow(a, b2, prime) % prime
if got1 != got2:
self.fail(f"{a=:x} {b1=:x} {b2=:x} {got1=:x} {got2=:x}")
got3 = pow(a, b1 * b2, prime)
got4 = pow(pow(a, b1, prime), b2, prime)
if got3 != got4:
self.fail(f"{a=:x} {b1=:x} {b2=:x} {got3=:x} {got4=:x}")

def test_bug643260(self):
class TestRpow:
def __rpow__(self, other):
Expand Down