def testAbsolute(self):
x = random.uniform(-23, 42)
for tol in (1e-13, 1e-12, 1e-10, 1e-5):
# Test error < tol.
self.assertTrue(approx_equal(x, x+tol/2, tol=tol, rel=None))
self.assertTrue(approx_equal(x, x-tol/2, tol=tol, rel=None))
# Test error > tol.
self.assertFalse(approx_equal(x, x+tol*2, tol=tol, rel=None))
self.assertFalse(approx_equal(x, x-tol*2, tol=tol, rel=None))
def testUnequal(self):
for _ in range(20):
a = b = random.uniform(-1000, 1000)
while b == a:
b = random.uniform(-1000, 1000)
assert a != b
self.assertFalse(approx_equal(a, b))
self.assertFalse(approx_equal(a, b, tol=None))
self.assertFalse(approx_equal(a, b, rel=None))
self.assertFalse(approx_equal(a, b, tol=None, rel=None))
def testRelative(self):
for x in (1e-10, 1.1, 123.456, 1.23456e18, -17.98):
for rel in (1e-2, 1e-4, 1e-7, 1e-9):
# Test error < rel.
delta = x*rel/2
self.assertTrue(approx_equal(x, x+delta, tol=None, rel=rel))
self.assertTrue(approx_equal(x, x+delta, tol=None, rel=rel))
# Test error > rel.
delta = x*rel*2
self.assertFalse(approx_equal(x, x+delta, tol=None, rel=rel))
self.assertFalse(approx_equal(x, x+delta, tol=None, rel=rel))
def testEqual(self):
for x in (-123.456, -1.1, 0.0, 0.5, 1.9, 23.42, 1.2e68, -1, 0, 1):
self.assertTrue(approx_equal(x, x))
self.assertTrue(approx_equal(x, x, tol=None))
self.assertTrue(approx_equal(x, x, rel=None))
self.assertTrue(approx_equal(x, x, tol=None, rel=None))