def _number(expr, assumptions):
# helper method
try:
i = int(round(expr))
if not (expr - i).equals(0):
raise TypeError
return True
except TypeError:
return False
def test_round():
from sympy.abc import x
assert round(Float('0.1249999'), 2) == 0.12
d20 = 12345678901234567890
ans = round(S(d20), 2)
assert ans.is_Float and ans == d20
ans = round(S(d20), -2)
assert ans.is_Float and ans == 12345678901234567900
assert round(S('1/7'), 4) == 0.1429
assert round(S('.[12345]'), 4) == 0.1235
assert round(S('.1349'), 2) == 0.13
n = S(12345)
ans = round(n)
assert ans.is_Float
assert ans == n
ans = round(n, 1)
assert ans.is_Float
assert ans == n
ans = round(n, 4)
assert ans.is_Float
assert ans == n
assert round(n, -1) == 12350
r = round(n, -4)
assert r == 10000
# in fact, it should equal many values since __eq__
# compares at equal precision
assert all(r == i for i in range(9984, 10049))
assert round(n, -5) == 0
assert round(pi + sqrt(2), 2) == 4.56
assert round(10*(pi + sqrt(2)), -1) == 50
raises(TypeError, 'round(x + 2, 2)')
assert round(S(2.3), 1) == 2.3
e = round(12.345, 2)
assert e == _pyround(12.345, 2)
assert type(e) is float
assert round(Float(.3, 3) + 2*pi) == 7
assert round(Float(.3, 3) + 2*pi*100) == 629
assert round(Float(.03, 3) + 2*pi/100, 5) == 0.09283
assert round(Float(.03, 3) + 2*pi/100, 4) == 0.0928
assert round(S.Zero) == 0
a = (Add(1, Float('1.'+'9'*27, ''), evaluate=0))
assert round(a, 10) == Float('3.0000000000','')
assert round(a, 25) == Float('3.0000000000000000000000000','')
assert round(a, 26) == Float('3.00000000000000000000000000','')
assert round(a, 27) == Float('2.999999999999999999999999999','')
assert round(a, 30) == Float('2.999999999999999999999999999','')
raises(TypeError, 'round(x)')
raises(TypeError, 'round(1 + 3*I)')
# exact magnitude of 10
assert str(round(S(1))) == '1.'
assert str(round(S(100))) == '100.'
def test_round():
from sympy.abc import x
assert round(Float('0.1249999'), 2) == 0.12
d20 = 12345678901234567890
ans = round(S(d20), 2)
assert ans.is_Float and ans == d20
ans = round(S(d20), -2)
assert ans.is_Float and ans == 12345678901234567900
assert round(S('1/7'), 4) == 0.1429
assert round(S('.[12345]'), 4) == 0.1235
assert round(S('.1349'), 2) == 0.13
n = S(12345)
ans = round(n)
assert ans.is_Float
assert ans == n
ans = round(n, 1)
assert ans.is_Float
assert ans == n
ans = round(n, 4)
assert ans.is_Float
assert ans == n
assert round(n, -1) == 12350
r = round(n, -4)
assert r == 10000
# in fact, it should equal many values since __eq__
# compares at equal precision
assert all(r == i for i in range(9984, 10049))
assert round(n, -5) == 0
assert round(pi + sqrt(2), 2) == 4.56
assert round(10*(pi + sqrt(2)), -1) == 50
assert round(x + 2, 2) == x + 2
assert round(S(2.3), 1) == 2.3
e = round(12.345, 2)
assert e == _pyround(12.345, 2)
assert type(e) is float
assert round(Float(.3, 3) + 2*pi) == 7
assert round(Float(.3, 3) + 2*pi*100) == 629
assert round(Float(.03, 3) + 2*pi/100, 5) == 0.09283
assert round(Float(.03, 3) + 2*pi/100, 4) == 0.0928
