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Changjoon 96011dd218 Raise OverflowError in float pow when finite-base result overflows (#7746)
PR #7727 added an overflow guard in float_pow's negative-base
non-integer-exponent branch (which delegates to complex_pow). The
remaining else branch — covering positive base or negative-base
integer exponent — directly returned v1.powf(v2) without inspecting
the result, so finite inputs that produced an out-of-range value
silently leaked f64::INFINITY (or -INFINITY) instead of raising.

Examples that now raise OverflowError as in CPython:
    pow(2.0, 2000)
    pow(10.0, 400)
    pow(-2.0, 2001)
    pow(0.5, -2000)
    pow(1e150, 3)

Mirror the inline overflow guard already used in complex.rs::complex_pow:
when the result is infinite but neither input is, raise OverflowError.
The both-finite check preserves intentional infinities like
pow(inf, 2.0).

Closes #7729
2026-05-01 19:44:42 +09:00

185 lines
5.6 KiB
Python

from testutils import assert_equal, assert_raises
assert pow(3, 2) == 9
assert pow(5, 3, 100) == 25
assert pow(41, 7, 2) == 1
assert pow(7, 2, 49) == 0
assert pow(0, 0) == 1
assert pow(2, 2) == 4
assert pow(1, 2.0) == 1.0
assert pow(2.0, 1) == 2.0
assert pow(0, 10**1000) == 0
assert pow(1, 10**1000) == 1
assert pow(-1, 10**1000 + 1) == -1
assert pow(-1, 10**1000) == 1
assert pow(2, 4, 5) == 1
assert_raises(TypeError, pow, 2, 4, 5.0)
assert_raises(TypeError, pow, 2, 4.0, 5)
assert_raises(TypeError, pow, 2.0, 4, 5)
assert pow(2, -1, 5) == 3
assert_raises(ValueError, pow, 2, 2, 0)
assert_raises(OverflowError, pow, -2, 2000.5)
assert_raises(OverflowError, pow, -2.0, 2000.5)
assert_raises(OverflowError, complex(-2).__pow__, complex(2000.5))
# float pow overflow (positive base or negative^integer) — finite inputs
# producing a result outside f64 range must raise OverflowError, not silently
# return inf.
assert_raises(OverflowError, pow, 2.0, 2000)
assert_raises(OverflowError, pow, 2.0, 2000.0)
assert_raises(OverflowError, pow, 10.0, 400)
assert_raises(OverflowError, pow, 1.5, 10000)
assert_raises(OverflowError, pow, -2.0, 2000)
assert_raises(OverflowError, pow, -2.0, 2001)
assert_raises(OverflowError, pow, 1e150, 3)
assert_raises(OverflowError, pow, 0.5, -2000)
# Intentional infinities — when an input is already inf, the result inf is
# expected and must NOT raise OverflowError.
import math
assert pow(math.inf, 2.0) == math.inf
assert pow(2.0, math.inf) == math.inf
assert pow(math.inf, math.inf) == math.inf
# Underflow yields exact zero (not OverflowError).
assert pow(2.0, -2000) == 0.0
# pow(1.0, anything) == 1.0 — must not trigger overflow path.
assert pow(1.0, 1e308) == 1.0
# NaN propagates without raising.
assert math.isnan(pow(math.nan, 2.0))
assert math.isnan(pow(2.0, math.nan))
assert_raises(TypeError, pow, 1, None, 0)
assert_raises(TypeError, pow, True, 1.5, False)
assert_almost_equal = assert_equal
def powtest(type):
if type != float:
for i in range(-1000, 1000):
assert_equal(pow(type(i), 0), 1)
assert_equal(pow(type(i), 1), type(i))
assert_equal(pow(type(0), 1), type(0))
assert_equal(pow(type(1), 1), type(1))
for i in range(-100, 100):
assert_equal(pow(type(i), 3), i * i * i)
pow2 = 1
for i in range(0, 31):
assert_equal(pow(2, i), pow2)
if i != 30:
pow2 = pow2 * 2
for othertype in (int,):
for i in list(range(-10, 0)) + list(range(1, 10)):
ii = type(i)
for j in range(1, 11):
jj = -othertype(j)
pow(ii, jj)
for othertype in int, float:
for i in range(1, 100):
zero = type(0)
exp = -othertype(i / 10.0)
if exp == 0:
continue
assert_raises(ZeroDivisionError, pow, zero, exp)
il, ih = -20, 20
jl, jh = -5, 5
kl, kh = -10, 10
asseq = assert_equal
if type == float:
il = 1
asseq = assert_almost_equal
elif type == int:
jl = 0
elif type == int:
jl, jh = 0, 15
for i in range(il, ih + 1):
for j in range(jl, jh + 1):
for k in range(kl, kh + 1):
if k != 0:
if type == float or j < 0:
assert_raises(TypeError, pow, type(i), j, k)
continue
asseq(pow(type(i), j, k), pow(type(i), j) % type(k))
def test_powint():
powtest(int)
def test_powfloat():
powtest(float)
def test_other():
# Other tests-- not very systematic
assert_equal(pow(3, 3) % 8, pow(3, 3, 8))
assert_equal(pow(3, 3) % -8, pow(3, 3, -8))
assert_equal(pow(3, 2) % -2, pow(3, 2, -2))
assert_equal(pow(-3, 3) % 8, pow(-3, 3, 8))
assert_equal(pow(-3, 3) % -8, pow(-3, 3, -8))
assert_equal(pow(5, 2) % -8, pow(5, 2, -8))
assert_equal(pow(3, 3) % 8, pow(3, 3, 8))
assert_equal(pow(3, 3) % -8, pow(3, 3, -8))
assert_equal(pow(3, 2) % -2, pow(3, 2, -2))
assert_equal(pow(-3, 3) % 8, pow(-3, 3, 8))
assert_equal(pow(-3, 3) % -8, pow(-3, 3, -8))
assert_equal(pow(5, 2) % -8, pow(5, 2, -8))
for i in range(-10, 11):
for j in range(0, 6):
for k in range(-7, 11):
if j >= 0 and k != 0:
assert_equal(pow(i, j) % k, pow(i, j, k))
if j >= 0 and k != 0:
assert_equal(pow(int(i), j) % k, pow(int(i), j, k))
def test_bug643260():
class TestRpow:
def __rpow__(self, other):
return None
None ** TestRpow() # Won't fail when __rpow__ invoked. SF bug #643260.
def test_bug705231():
# -1.0 raised to an integer should never blow up. It did if the
# platform pow() was buggy, and Python didn't worm around it.
eq = assert_equal
a = -1.0
# The next two tests can still fail if the platform floor()
# function doesn't treat all large inputs as integers
# test_math should also fail if that is happening
eq(pow(a, 1.23e167), 1.0)
eq(pow(a, -1.23e167), 1.0)
for b in range(-10, 11):
eq(pow(a, float(b)), b & 1 and -1.0 or 1.0)
for n in range(0, 100):
fiveto = float(5**n)
# For small n, fiveto will be odd. Eventually we run out of
# mantissa bits, though, and thereafer fiveto will be even.
expected = fiveto % 2.0 and -1.0 or 1.0
eq(pow(a, fiveto), expected)
eq(pow(a, -fiveto), expected)
eq(expected, 1.0) # else we didn't push fiveto to evenness
tests = [f for name, f in locals().items() if name.startswith("test_")]
for f in tests:
f()