diff options
| -rw-r--r-- | Lib/test/test_math.py | 96 |
1 files changed, 96 insertions, 0 deletions
diff --git a/Lib/test/test_math.py b/Lib/test/test_math.py index faf0672..aeaa99c 100644 --- a/Lib/test/test_math.py +++ b/Lib/test/test_math.py @@ -235,6 +235,10 @@ class MyIndexable(object): def __index__(self): return self.value +class BadDescr: + def __get__(self, obj, objtype=None): + raise ValueError + class MathTests(unittest.TestCase): def ftest(self, name, got, expected, ulp_tol=5, abs_tol=0.0): @@ -324,6 +328,7 @@ class MathTests(unittest.TestCase): self.ftest('atan2(0, 1)', math.atan2(0, 1), 0) self.ftest('atan2(1, 1)', math.atan2(1, 1), math.pi/4) self.ftest('atan2(1, 0)', math.atan2(1, 0), math.pi/2) + self.ftest('atan2(1, -1)', math.atan2(1, -1), 3*math.pi/4) # math.atan2(0, x) self.ftest('atan2(0., -inf)', math.atan2(0., NINF), math.pi) @@ -417,16 +422,22 @@ class MathTests(unittest.TestCase): return 42 class TestNoCeil: pass + class TestBadCeil: + __ceil__ = BadDescr() self.assertEqual(math.ceil(TestCeil()), 42) self.assertEqual(math.ceil(FloatCeil()), 42) self.assertEqual(math.ceil(FloatLike(42.5)), 43) self.assertRaises(TypeError, math.ceil, TestNoCeil()) + self.assertRaises(ValueError, math.ceil, TestBadCeil()) t = TestNoCeil() t.__ceil__ = lambda *args: args self.assertRaises(TypeError, math.ceil, t) self.assertRaises(TypeError, math.ceil, t, 0) + self.assertEqual(math.ceil(FloatLike(+1.0)), +1.0) + self.assertEqual(math.ceil(FloatLike(-1.0)), -1.0) + @requires_IEEE_754 def testCopysign(self): self.assertEqual(math.copysign(1, 42), 1.0) @@ -567,16 +578,22 @@ class MathTests(unittest.TestCase): return 42 class TestNoFloor: pass + class TestBadFloor: + __floor__ = BadDescr() self.assertEqual(math.floor(TestFloor()), 42) self.assertEqual(math.floor(FloatFloor()), 42) self.assertEqual(math.floor(FloatLike(41.9)), 41) self.assertRaises(TypeError, math.floor, TestNoFloor()) + self.assertRaises(ValueError, math.floor, TestBadFloor()) t = TestNoFloor() t.__floor__ = lambda *args: args self.assertRaises(TypeError, math.floor, t) self.assertRaises(TypeError, math.floor, t, 0) + self.assertEqual(math.floor(FloatLike(+1.0)), +1.0) + self.assertEqual(math.floor(FloatLike(-1.0)), -1.0) + def testFmod(self): self.assertRaises(TypeError, math.fmod) self.ftest('fmod(10, 1)', math.fmod(10, 1), 0.0) @@ -598,6 +615,7 @@ class MathTests(unittest.TestCase): self.assertEqual(math.fmod(-3.0, NINF), -3.0) self.assertEqual(math.fmod(0.0, 3.0), 0.0) self.assertEqual(math.fmod(0.0, NINF), 0.0) + self.assertRaises(ValueError, math.fmod, INF, INF) def testFrexp(self): self.assertRaises(TypeError, math.frexp) @@ -667,6 +685,7 @@ class MathTests(unittest.TestCase): ([], 0.0), ([0.0], 0.0), ([1e100, 1.0, -1e100, 1e-100, 1e50, -1.0, -1e50], 1e-100), + ([1e100, 1.0, -1e100, 1e-100, 1e50, -1, -1e50], 1e-100), ([2.0**53, -0.5, -2.0**-54], 2.0**53-1.0), ([2.0**53, 1.0, 2.0**-100], 2.0**53+2.0), ([2.0**53+10.0, 1.0, 2.0**-100], 2.0**53+12.0), @@ -714,6 +733,22 @@ class MathTests(unittest.TestCase): s = msum(vals) self.assertEqual(msum(vals), math.fsum(vals)) + self.assertEqual(math.fsum([1.0, math.inf]), math.inf) + self.assertTrue(math.isnan(math.fsum([math.nan, 1.0]))) + self.assertEqual(math.fsum([1e100, FloatLike(1.0), -1e100, 1e-100, + 1e50, FloatLike(-1.0), -1e50]), 1e-100) + self.assertRaises(OverflowError, math.fsum, [1e+308, 1e+308]) + self.assertRaises(ValueError, math.fsum, [math.inf, -math.inf]) + self.assertRaises(TypeError, math.fsum, ['spam']) + self.assertRaises(TypeError, math.fsum, 1) + self.assertRaises(OverflowError, math.fsum, [10**1000]) + + def bad_iter(): + yield 1.0 + raise ZeroDivisionError + + self.assertRaises(ZeroDivisionError, math.fsum, bad_iter()) + def testGcd(self): gcd = math.gcd self.assertEqual(gcd(0, 0), 0) @@ -774,6 +809,8 @@ class MathTests(unittest.TestCase): # Test allowable types (those with __float__) self.assertEqual(hypot(12.0, 5.0), 13.0) self.assertEqual(hypot(12, 5), 13) + self.assertEqual(hypot(1, -1), math.sqrt(2)) + self.assertEqual(hypot(1, FloatLike(-1.)), math.sqrt(2)) self.assertEqual(hypot(Decimal(12), Decimal(5)), 13) self.assertEqual(hypot(Fraction(12, 32), Fraction(5, 32)), Fraction(13, 32)) self.assertEqual(hypot(bool(1), bool(0), bool(1), bool(1)), math.sqrt(3)) @@ -831,6 +868,8 @@ class MathTests(unittest.TestCase): scale = FLOAT_MIN / 2.0 ** exp self.assertEqual(math.hypot(4*scale, 3*scale), 5*scale) + self.assertRaises(TypeError, math.hypot, *([1.0]*18), 'spam') + @requires_IEEE_754 @unittest.skipIf(HAVE_DOUBLE_ROUNDING, "hypot() loses accuracy on machines with double rounding") @@ -923,6 +962,10 @@ class MathTests(unittest.TestCase): # Test allowable types (those with __float__) self.assertEqual(dist((14.0, 1.0), (2.0, -4.0)), 13.0) self.assertEqual(dist((14, 1), (2, -4)), 13) + self.assertEqual(dist((FloatLike(14.), 1), (2, -4)), 13) + self.assertEqual(dist((11, 1), (FloatLike(-1.), -4)), 13) + self.assertEqual(dist((14, FloatLike(-1.)), (2, -6)), 13) + self.assertEqual(dist((14, -1), (2, -6)), 13) self.assertEqual(dist((D(14), D(1)), (D(2), D(-4))), D(13)) self.assertEqual(dist((F(14, 32), F(1, 32)), (F(2, 32), F(-4, 32))), F(13, 32)) @@ -966,6 +1009,8 @@ class MathTests(unittest.TestCase): dist((1, 2, 3, 4), (5, 6, 7)) with self.assertRaises(ValueError): # Check dimension agree dist((1, 2, 3), (4, 5, 6, 7)) + with self.assertRaises(TypeError): + dist((1,)*17 + ("spam",), (1,)*18) with self.assertRaises(TypeError): # Rejects invalid types dist("abc", "xyz") int_too_big_for_float = 10 ** (sys.float_info.max_10_exp + 5) @@ -973,6 +1018,16 @@ class MathTests(unittest.TestCase): dist((1, int_too_big_for_float), (2, 3)) with self.assertRaises((ValueError, OverflowError)): dist((2, 3), (1, int_too_big_for_float)) + with self.assertRaises(TypeError): + dist((1,), 2) + with self.assertRaises(TypeError): + dist([1], 2) + + class BadFloat: + __float__ = BadDescr() + + with self.assertRaises(ValueError): + dist([1], [BadFloat()]) # Verify that the one dimensional case is equivalent to abs() for i in range(20): @@ -1111,6 +1166,7 @@ class MathTests(unittest.TestCase): def testLdexp(self): self.assertRaises(TypeError, math.ldexp) + self.assertRaises(TypeError, math.ldexp, 2.0, 1.1) self.ftest('ldexp(0,1)', math.ldexp(0,1), 0) self.ftest('ldexp(1,1)', math.ldexp(1,1), 2) self.ftest('ldexp(1,-1)', math.ldexp(1,-1), 0.5) @@ -1143,6 +1199,7 @@ class MathTests(unittest.TestCase): def testLog(self): self.assertRaises(TypeError, math.log) + self.assertRaises(TypeError, math.log, 1, 2, 3) self.ftest('log(1/e)', math.log(1/math.e), -1) self.ftest('log(1)', math.log(1), 0) self.ftest('log(e)', math.log(math.e), 1) @@ -1153,6 +1210,7 @@ class MathTests(unittest.TestCase): 2302.5850929940457) self.assertRaises(ValueError, math.log, -1.5) self.assertRaises(ValueError, math.log, -10**1000) + self.assertRaises(ValueError, math.log, 10, -10) self.assertRaises(ValueError, math.log, NINF) self.assertEqual(math.log(INF), INF) self.assertTrue(math.isnan(math.log(NAN))) @@ -1212,6 +1270,8 @@ class MathTests(unittest.TestCase): self.assertEqual(sumprod(iter([10, 20, 30]), (1, 2, 3)), 140) self.assertEqual(sumprod([1.5, 2.5], [3.5, 4.5]), 16.5) self.assertEqual(sumprod([], []), 0) + self.assertEqual(sumprod([-1], [1.]), -1) + self.assertEqual(sumprod([1.], [-1]), -1) # Type preservation and coercion for v in [ @@ -1237,11 +1297,20 @@ class MathTests(unittest.TestCase): self.assertRaises(TypeError, sumprod, [], [], []) # Three args self.assertRaises(TypeError, sumprod, None, [10]) # Non-iterable self.assertRaises(TypeError, sumprod, [10], None) # Non-iterable + self.assertRaises(TypeError, sumprod, ['x'], [1.0]) # Uneven lengths self.assertRaises(ValueError, sumprod, [10, 20], [30]) self.assertRaises(ValueError, sumprod, [10], [20, 30]) + # Overflows + self.assertEqual(sumprod([10**20], [1]), 10**20) + self.assertEqual(sumprod([1], [10**20]), 10**20) + self.assertEqual(sumprod([10**10], [10**10]), 10**20) + self.assertEqual(sumprod([10**7]*10**5, [10**7]*10**5), 10**19) + self.assertRaises(OverflowError, sumprod, [10**1000], [1.0]) + self.assertRaises(OverflowError, sumprod, [1.0], [10**1000]) + # Error in iterator def raise_after(n): for i in range(n): @@ -1252,6 +1321,11 @@ class MathTests(unittest.TestCase): with self.assertRaises(RuntimeError): sumprod(raise_after(5), range(10)) + from test.test_iter import BasicIterClass + + self.assertEqual(sumprod(BasicIterClass(1), [1]), 0) + self.assertEqual(sumprod([1], BasicIterClass(1)), 0) + # Error in multiplication class BadMultiply: def __mul__(self, other): @@ -1491,6 +1565,7 @@ class MathTests(unittest.TestCase): self.assertTrue(math.isnan(math.pow(2, NAN))) self.assertTrue(math.isnan(math.pow(0, NAN))) self.assertEqual(math.pow(1, NAN), 1) + self.assertRaises(OverflowError, math.pow, 1e+100, 1e+100) # pow(0., x) self.assertEqual(math.pow(0., INF), 0.) @@ -1847,6 +1922,8 @@ class MathTests(unittest.TestCase): return 23 class TestNoTrunc: pass + class TestBadTrunc: + __trunc__ = BadDescr() self.assertEqual(math.trunc(TestTrunc()), 23) self.assertEqual(math.trunc(FloatTrunc()), 23) @@ -1855,6 +1932,7 @@ class MathTests(unittest.TestCase): self.assertRaises(TypeError, math.trunc, 1, 2) self.assertRaises(TypeError, math.trunc, FloatLike(23.5)) self.assertRaises(TypeError, math.trunc, TestNoTrunc()) + self.assertRaises(ValueError, math.trunc, TestBadTrunc()) def testIsfinite(self): self.assertTrue(math.isfinite(0.0)) @@ -2055,6 +2133,8 @@ class MathTests(unittest.TestCase): '\n '.join(failures)) def test_prod(self): + from fractions import Fraction as F + prod = math.prod self.assertEqual(prod([]), 1) self.assertEqual(prod([], start=5), 5) @@ -2066,6 +2146,14 @@ class MathTests(unittest.TestCase): self.assertEqual(prod([1.0, 2.0, 3.0, 4.0, 5.0]), 120.0) self.assertEqual(prod([1, 2, 3, 4.0, 5.0]), 120.0) self.assertEqual(prod([1.0, 2.0, 3.0, 4, 5]), 120.0) + self.assertEqual(prod([1., F(3, 2)]), 1.5) + + # Error in multiplication + class BadMultiply: + def __rmul__(self, other): + raise RuntimeError + with self.assertRaises(RuntimeError): + prod([10., BadMultiply()]) # Test overflow in fast-path for integers self.assertEqual(prod([1, 1, 2**32, 1, 1]), 2**32) @@ -2379,6 +2467,14 @@ class MathTests(unittest.TestCase): # argument to a float. self.assertFalse(getattr(y, "converted", False)) + def test_input_exceptions(self): + self.assertRaises(TypeError, math.exp, "spam") + self.assertRaises(TypeError, math.erf, "spam") + self.assertRaises(TypeError, math.atan2, "spam", 1.0) + self.assertRaises(TypeError, math.atan2, 1.0, "spam") + self.assertRaises(TypeError, math.atan2, 1.0) + self.assertRaises(TypeError, math.atan2, 1.0, 2.0, 3.0) + # Custom assertions. def assertIsNaN(self, value): |