Files
RustPython/extra_tests/snippets/builtin_pow.py
2022-05-04 00:53:20 +09:00

156 lines
4.5 KiB
Python

from testutils import assert_raises, assert_equal
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_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()