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# test floating point floor divide and modulus
# it has some tricky corner cases
def test(x, y):
div, mod = divmod(x, y)
print('%.8f %.8f %.8f %.8f' % (x // y, x % y, div, mod))
print(div == x // y, mod == x % y, abs(div * y + mod - x) < 1e-15)
test(1.23456, 0.7)
test(-1.23456, 0.7)
test(1.23456, -0.7)
test(-1.23456, -0.7)
a = 1.23456
b = 0.7
test(a, b)
test(a, -b)
test(-a, b)
test(-a, -b)
for i in range(25):
x = (i - 12.5) / 6
for j in range(25):
y = (j - 12.5) / 6
test(x, y)
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