diff --git a/tests/931_math.py b/tests/931_math.py
new file mode 100644
index 00000000..126bf5be
--- /dev/null
+++ b/tests/931_math.py
@@ -0,0 +1,1142 @@
+# https://github.com/python/cpython/blob/v3.4.10/Lib/test/test_math.py
+
+# Python test set -- math module
+# XXXX Should not do tests around zero only
+
+import math
+import os
+import sys
+
+requires_IEEE_754 = lambda f: f
+
+eps = 1e-5
+NAN = float('nan')
+INF = float('inf')
+NINF = float('-inf')
+
+# detect evidence of double-rounding: fsum is not always correctly
+# rounded on machines that suffer from double rounding.
+x, y = 1e16, 2.9999 # use temporary values to defeat peephole optimizer
+HAVE_DOUBLE_ROUNDING = (x + y == 1e16 + 4)
+print("HAVE_DOUBLE_ROUNDING =", HAVE_DOUBLE_ROUNDING)
+
+# locate file with test values
+# if __name__ == '__main__':
+#     file = sys.argv[0]
+# else:
+#     file = __file__
+
+math_testcases = 'tests/math_testcases.txt'
+test_file = 'tests/cmath_testcases.txt'
+
+def to_ulps(x):
+    """Convert a non-NaN float x to an integer, in such a way that
+    adjacent floats are converted to adjacent integers.  Then
+    abs(ulps(x) - ulps(y)) gives the difference in ulps between two
+    floats.
+
+    The results from this function will only make sense on platforms
+    where C doubles are represented in IEEE 754 binary64 format.
+
+    """
+    n = struct.unpack('<q', struct.pack('<d', x))[0] # type: ignore
+    if n < 0:
+        n = ~(n+2**63)
+    return n
+
+def ulps_check(expected, got, ulps=20):
+    if abs(expected - got) > eps:
+        return "error = {}; permitted error = {}".format(got - expected, eps)
+    return
+
+    """Given non-NaN floats `expected` and `got`,
+    check that they're equal to within the given number of ulps.
+
+    Returns None on success and an error message on failure."""
+
+    ulps_error = to_ulps(got) - to_ulps(expected)
+    if abs(ulps_error) <= ulps:
+        return None
+    return "error = {} ulps; permitted error = {} ulps".format(ulps_error,
+                                                               ulps)
+
+# Here's a pure Python version of the math.factorial algorithm, for
+# documentation and comparison purposes.
+#
+# Formula:
+#
+#   factorial(n) = factorial_odd_part(n) << (n - count_set_bits(n))
+#
+# where
+#
+#   factorial_odd_part(n) = product_{i >= 0} product_{0 < j <= n >> i; j odd} j
+#
+# The outer product above is an infinite product, but once i >= n.bit_length,
+# (n >> i) < 1 and the corresponding term of the product is empty.  So only the
+# finitely many terms for 0 <= i < n.bit_length() contribute anything.
+#
+# We iterate downwards from i == n.bit_length() - 1 to i == 0.  The inner
+# product in the formula above starts at 1 for i == n.bit_length(); for each i
+# < n.bit_length() we get the inner product for i from that for i + 1 by
+# multiplying by all j in {n >> i+1 < j <= n >> i; j odd}.  In Python terms,
+# this set is range((n >> i+1) + 1 | 1, (n >> i) + 1 | 1, 2).
+
+def count_set_bits(n):
+    """Number of '1' bits in binary expansion of a nonnnegative integer."""
+    return 1 + count_set_bits(n & n - 1) if n else 0
+
+def partial_product(start, stop):
+    """Product of integers in range(start, stop, 2), computed recursively.
+    start and stop should both be odd, with start <= stop.
+
+    """
+    numfactors = (stop - start) >> 1
+    if not numfactors:
+        return 1
+    elif numfactors == 1:
+        return start
+    else:
+        mid = (start + numfactors) | 1
+        return partial_product(start, mid) * partial_product(mid, stop)
+
+def py_factorial(n):
+    """Factorial of nonnegative integer n, via "Binary Split Factorial Formula"
+    described at http://www.luschny.de/math/factorial/binarysplitfact.html
+
+    """
+    inner = outer = 1
+    for i in reversed(range(n.bit_length())):
+        inner *= partial_product((n >> i + 1) + 1 | 1, (n >> i) + 1 | 1)
+        outer *= inner
+    return outer << (n - count_set_bits(n))
+
+def acc_check(expected, got, rel_err=2e-15, abs_err = 5e-323):
+    """Determine whether non-NaN floats a and b are equal to within a
+    (small) rounding error.  The default values for rel_err and
+    abs_err are chosen to be suitable for platforms where a float is
+    represented by an IEEE 754 double.  They allow an error of between
+    9 and 19 ulps."""
+
+    # need to special case infinities, since inf - inf gives nan
+    if math.isinf(expected) and got == expected:
+        return None
+
+    error = got - expected
+
+    permitted_error = max(abs_err, rel_err * abs(expected))
+    if abs(error) < permitted_error:
+        return None
+    return "error = {}; permitted error = {}".format(error,
+                                                     permitted_error)
+
+def parse_mtestfile(fname):
+    """Parse a file with test values
+
+    -- starts a comment
+    blank lines, or lines containing only a comment, are ignored
+    other lines are expected to have the form
+      id fn arg -> expected [flag]*
+
+    """
+    with open(fname) as fp:
+        for line in fp:
+            # strip comments, and skip blank lines
+            if '--' in line:
+                line = line[:line.index('--')]
+            if not line.strip():
+                continue
+
+            lhs, rhs = line.split('->')
+            id, fn, arg = lhs.split()
+            rhs_pieces = rhs.split()
+            exp = rhs_pieces[0]
+            flags = rhs_pieces[1:]
+
+            yield (id, fn, float(arg), float(exp), flags)
+
+def parse_testfile(fname):
+    """Parse a file with test values
+
+    Empty lines or lines starting with -- are ignored
+    yields id, fn, arg_real, arg_imag, exp_real, exp_imag
+    """
+    with open(fname) as fp:
+        for line in fp:
+            # skip comment lines and blank lines
+            if line.startswith('--') or not line.strip():
+                continue
+
+            lhs, rhs = line.split('->')
+            id, fn, arg_real, arg_imag = lhs.split()
+            rhs_pieces = rhs.split()
+            exp_real, exp_imag = rhs_pieces[0], rhs_pieces[1]
+            flags = rhs_pieces[2:]
+
+            yield (id, fn,
+                   float(arg_real), float(arg_imag),
+                   float(exp_real), float(exp_imag),
+                   flags
+                  )
+
+
+class TestCase:
+    def fail(self, msg):
+        print(msg)
+        exit(1)
+    
+    def assertEqual(self, a, b):
+        if a != b:
+            self.fail(f'{a!r} != {b!r}')
+
+    def assertAlmostEqual(self, a, b):
+        tol = eps
+        if abs(a-b) > tol:
+            self.fail(f'{a!r} != {b!r} within {tol!r}')
+
+    def assertRaises(self, exc, func, *args, **kwargs):
+        try:
+            func(*args, **kwargs)
+            self.fail(f'Expected {exc} but no exception was raised')
+        except exc:
+            return
+        except Exception as e:
+            self.fail(f'Expected {exc} but got {type(e)}: {e}')            
+
+    def assertTrue(self, x):
+        if not x:
+            self.fail(f'{x!r} is not true')
+
+    def assertFalse(self, x):
+        if x:
+            self.fail(f'{x!r} is not false')
+    
+    def assertIs(self, a, b):
+        if a is not b:
+            self.fail(f'{a!r} is not {b!r}')
+
+
+class TestCeil:
+    def __ceil__(self):
+        return 42
+class TestNoCeil:
+    pass
+class TestFloor:
+    def __floor__(self):
+        return 42
+class TestNoFloor:
+    pass
+class TestTrunc(object):
+    def __trunc__(self):
+        return 23
+class TestNoTrunc(object):
+    pass
+
+class MathTests(TestCase):
+
+    def ftest(self, name, value, expected):
+        if abs(value-expected) > eps:
+            # Use %r instead of %f so the error message
+            # displays full precision. Otherwise discrepancies
+            # in the last few bits will lead to very confusing
+            # error messages
+            self.fail('%s returned %r, expected %r' %
+                      (name, value, expected))
+
+    def testConstants(self):
+        self.ftest('pi', math.pi, 3.1415926)
+        self.ftest('e', math.e, 2.7182818)
+
+    def testAcos(self):
+        self.assertRaises(TypeError, math.acos)
+        self.ftest('acos(-1)', math.acos(-1), math.pi)
+        self.ftest('acos(0)', math.acos(0), math.pi/2)
+        self.ftest('acos(1)', math.acos(1), 0)
+        self.assertRaises(ValueError, math.acos, INF)
+        self.assertRaises(ValueError, math.acos, NINF)
+        self.assertTrue(math.isnan(math.acos(NAN)))
+
+    def testAcosh(self):
+        self.assertRaises(TypeError, math.acosh)
+        self.ftest('acosh(1)', math.acosh(1), 0)
+        self.ftest('acosh(2)', math.acosh(2), 1.3169578969248168)
+        self.assertRaises(ValueError, math.acosh, 0)
+        self.assertRaises(ValueError, math.acosh, -1)
+        self.assertEqual(math.acosh(INF), INF)
+        self.assertRaises(ValueError, math.acosh, NINF)
+        self.assertTrue(math.isnan(math.acosh(NAN)))
+
+    def testAsin(self):
+        self.assertRaises(TypeError, math.asin)
+        self.ftest('asin(-1)', math.asin(-1), -math.pi/2)
+        self.ftest('asin(0)', math.asin(0), 0)
+        self.ftest('asin(1)', math.asin(1), math.pi/2)
+        self.assertRaises(ValueError, math.asin, INF)
+        self.assertRaises(ValueError, math.asin, NINF)
+        self.assertTrue(math.isnan(math.asin(NAN)))
+
+    def testAsinh(self):
+        self.assertRaises(TypeError, math.asinh)
+        self.ftest('asinh(0)', math.asinh(0), 0)
+        self.ftest('asinh(1)', math.asinh(1), 0.88137358701954305)
+        self.ftest('asinh(-1)', math.asinh(-1), -0.88137358701954305)
+        self.assertEqual(math.asinh(INF), INF)
+        self.assertEqual(math.asinh(NINF), NINF)
+        self.assertTrue(math.isnan(math.asinh(NAN)))
+
+    def testAtan(self):
+        self.assertRaises(TypeError, math.atan)
+        self.ftest('atan(-1)', math.atan(-1), -math.pi/4)
+        self.ftest('atan(0)', math.atan(0), 0)
+        self.ftest('atan(1)', math.atan(1), math.pi/4)
+        self.ftest('atan(inf)', math.atan(INF), math.pi/2)
+        self.ftest('atan(-inf)', math.atan(NINF), -math.pi/2)
+        self.assertTrue(math.isnan(math.atan(NAN)))
+
+    def testAtanh(self):
+        self.assertRaises(TypeError, math.atan)
+        self.ftest('atanh(0)', math.atanh(0), 0)
+        self.ftest('atanh(0.5)', math.atanh(0.5), 0.54930614433405489)
+        self.ftest('atanh(-0.5)', math.atanh(-0.5), -0.54930614433405489)
+        self.assertRaises(ValueError, math.atanh, 1)
+        self.assertRaises(ValueError, math.atanh, -1)
+        self.assertRaises(ValueError, math.atanh, INF)
+        self.assertRaises(ValueError, math.atanh, NINF)
+        self.assertTrue(math.isnan(math.atanh(NAN)))
+
+    def testAtan2(self):
+        self.assertRaises(TypeError, math.atan2)
+        self.ftest('atan2(-1, 0)', math.atan2(-1, 0), -math.pi/2)
+        self.ftest('atan2(-1, 1)', math.atan2(-1, 1), -math.pi/4)
+        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)
+
+        # math.atan2(0, x)
+        self.ftest('atan2(0., -inf)', math.atan2(0., NINF), math.pi)
+        self.ftest('atan2(0., -2.3)', math.atan2(0., -2.3), math.pi)
+        self.ftest('atan2(0., -0.)', math.atan2(0., -0.), math.pi)
+        self.assertEqual(math.atan2(0., 0.), 0.)
+        self.assertEqual(math.atan2(0., 2.3), 0.)
+        self.assertEqual(math.atan2(0., INF), 0.)
+        self.assertTrue(math.isnan(math.atan2(0., NAN)))
+        # math.atan2(-0, x)
+        self.ftest('atan2(-0., -inf)', math.atan2(-0., NINF), -math.pi)
+        self.ftest('atan2(-0., -2.3)', math.atan2(-0., -2.3), -math.pi)
+        self.ftest('atan2(-0., -0.)', math.atan2(-0., -0.), -math.pi)
+        self.assertEqual(math.atan2(-0., 0.), -0.)
+        self.assertEqual(math.atan2(-0., 2.3), -0.)
+        self.assertEqual(math.atan2(-0., INF), -0.)
+        self.assertTrue(math.isnan(math.atan2(-0., NAN)))
+        # math.atan2(INF, x)
+        self.ftest('atan2(inf, -inf)', math.atan2(INF, NINF), math.pi*3/4)
+        self.ftest('atan2(inf, -2.3)', math.atan2(INF, -2.3), math.pi/2)
+        self.ftest('atan2(inf, -0.)', math.atan2(INF, -0.0), math.pi/2)
+        self.ftest('atan2(inf, 0.)', math.atan2(INF, 0.0), math.pi/2)
+        self.ftest('atan2(inf, 2.3)', math.atan2(INF, 2.3), math.pi/2)
+        self.ftest('atan2(inf, inf)', math.atan2(INF, INF), math.pi/4)
+        self.assertTrue(math.isnan(math.atan2(INF, NAN)))
+        # math.atan2(NINF, x)
+        self.ftest('atan2(-inf, -inf)', math.atan2(NINF, NINF), -math.pi*3/4)
+        self.ftest('atan2(-inf, -2.3)', math.atan2(NINF, -2.3), -math.pi/2)
+        self.ftest('atan2(-inf, -0.)', math.atan2(NINF, -0.0), -math.pi/2)
+        self.ftest('atan2(-inf, 0.)', math.atan2(NINF, 0.0), -math.pi/2)
+        self.ftest('atan2(-inf, 2.3)', math.atan2(NINF, 2.3), -math.pi/2)
+        self.ftest('atan2(-inf, inf)', math.atan2(NINF, INF), -math.pi/4)
+        self.assertTrue(math.isnan(math.atan2(NINF, NAN)))
+        # math.atan2(+finite, x)
+        self.ftest('atan2(2.3, -inf)', math.atan2(2.3, NINF), math.pi)
+        self.ftest('atan2(2.3, -0.)', math.atan2(2.3, -0.), math.pi/2)
+        self.ftest('atan2(2.3, 0.)', math.atan2(2.3, 0.), math.pi/2)
+        self.assertEqual(math.atan2(2.3, INF), 0.)
+        self.assertTrue(math.isnan(math.atan2(2.3, NAN)))
+        # math.atan2(-finite, x)
+        self.ftest('atan2(-2.3, -inf)', math.atan2(-2.3, NINF), -math.pi)
+        self.ftest('atan2(-2.3, -0.)', math.atan2(-2.3, -0.), -math.pi/2)
+        self.ftest('atan2(-2.3, 0.)', math.atan2(-2.3, 0.), -math.pi/2)
+        self.assertEqual(math.atan2(-2.3, INF), -0.)
+        self.assertTrue(math.isnan(math.atan2(-2.3, NAN)))
+        # math.atan2(NAN, x)
+        self.assertTrue(math.isnan(math.atan2(NAN, NINF)))
+        self.assertTrue(math.isnan(math.atan2(NAN, -2.3)))
+        self.assertTrue(math.isnan(math.atan2(NAN, -0.)))
+        self.assertTrue(math.isnan(math.atan2(NAN, 0.)))
+        self.assertTrue(math.isnan(math.atan2(NAN, 2.3)))
+        self.assertTrue(math.isnan(math.atan2(NAN, INF)))
+        self.assertTrue(math.isnan(math.atan2(NAN, NAN)))
+
+    def testCeil(self):
+        self.assertRaises(TypeError, math.ceil)
+        self.assertEqual(int, type(math.ceil(0.5)))
+        self.ftest('ceil(0.5)', math.ceil(0.5), 1)
+        self.ftest('ceil(1.0)', math.ceil(1.0), 1)
+        self.ftest('ceil(1.5)', math.ceil(1.5), 2)
+        self.ftest('ceil(-0.5)', math.ceil(-0.5), 0)
+        self.ftest('ceil(-1.0)', math.ceil(-1.0), -1)
+        self.ftest('ceil(-1.5)', math.ceil(-1.5), -1)
+        #self.assertEqual(math.ceil(INF), INF)
+        #self.assertEqual(math.ceil(NINF), NINF)
+        #self.assertTrue(math.isnan(math.ceil(NAN)))
+
+        self.ftest('ceil(TestCeil())', math.ceil(TestCeil()), 42)
+        self.assertRaises(TypeError, math.ceil, TestNoCeil())
+
+        t = TestNoCeil()
+        t.__ceil__ = lambda *args: args # type: ignore
+        self.assertRaises(TypeError, math.ceil, t)
+        self.assertRaises(TypeError, math.ceil, t, 0)
+
+    @requires_IEEE_754
+    def testCopysign(self):
+        self.assertEqual(math.copysign(1, 42), 1.0)
+        self.assertEqual(math.copysign(0., 42), 0.0)
+        self.assertEqual(math.copysign(1., -42), -1.0)
+        self.assertEqual(math.copysign(3, 0.), 3.0)
+        self.assertEqual(math.copysign(4., -0.), -4.0)
+
+        self.assertRaises(TypeError, math.copysign)
+        # copysign should let us distinguish signs of zeros
+        self.assertEqual(math.copysign(1., 0.), 1.)
+        self.assertEqual(math.copysign(1., -0.), -1.)
+        self.assertEqual(math.copysign(INF, 0.), INF)
+        self.assertEqual(math.copysign(INF, -0.), NINF)
+        self.assertEqual(math.copysign(NINF, 0.), INF)
+        self.assertEqual(math.copysign(NINF, -0.), NINF)
+        # and of infinities
+        self.assertEqual(math.copysign(1., INF), 1.)
+        self.assertEqual(math.copysign(1., NINF), -1.)
+        self.assertEqual(math.copysign(INF, INF), INF)
+        self.assertEqual(math.copysign(INF, NINF), NINF)
+        self.assertEqual(math.copysign(NINF, INF), INF)
+        self.assertEqual(math.copysign(NINF, NINF), NINF)
+        self.assertTrue(math.isnan(math.copysign(NAN, 1.)))
+        self.assertTrue(math.isnan(math.copysign(NAN, INF)))
+        self.assertTrue(math.isnan(math.copysign(NAN, NINF)))
+        self.assertTrue(math.isnan(math.copysign(NAN, NAN)))
+        # copysign(INF, NAN) may be INF or it may be NINF, since
+        # we don't know whether the sign bit of NAN is set on any
+        # given platform.
+        self.assertTrue(math.isinf(math.copysign(INF, NAN)))
+        # similarly, copysign(2., NAN) could be 2. or -2.
+        self.assertEqual(abs(math.copysign(2., NAN)), 2.)
+
+    def testCos(self):
+        self.assertRaises(TypeError, math.cos)
+        self.ftest('cos(-pi/2)', math.cos(-math.pi/2), 0)
+        self.ftest('cos(0)', math.cos(0), 1)
+        self.ftest('cos(pi/2)', math.cos(math.pi/2), 0)
+        self.ftest('cos(pi)', math.cos(math.pi), -1)
+        try:
+            self.assertTrue(math.isnan(math.cos(INF)))
+            self.assertTrue(math.isnan(math.cos(NINF)))
+        except ValueError:
+            self.assertRaises(ValueError, math.cos, INF)
+            self.assertRaises(ValueError, math.cos, NINF)
+        self.assertTrue(math.isnan(math.cos(NAN)))
+
+    def testCosh(self):
+        self.assertRaises(TypeError, math.cosh)
+        self.ftest('cosh(0)', math.cosh(0), 1)
+        self.ftest('cosh(2)-2*cosh(1)**2', math.cosh(2)-2*math.cosh(1)**2, -1) # Thanks to Lambert
+        self.assertEqual(math.cosh(INF), INF)
+        self.assertEqual(math.cosh(NINF), INF)
+        self.assertTrue(math.isnan(math.cosh(NAN)))
+
+    def testDegrees(self):
+        self.assertRaises(TypeError, math.degrees)
+        self.ftest('degrees(pi)', math.degrees(math.pi), 180.0)
+        self.ftest('degrees(pi/2)', math.degrees(math.pi/2), 90.0)
+        self.ftest('degrees(-pi/4)', math.degrees(-math.pi/4), -45.0)
+
+    def testExp(self):
+        self.assertRaises(TypeError, math.exp)
+        self.ftest('exp(-1)', math.exp(-1), 1/math.e)
+        self.ftest('exp(0)', math.exp(0), 1)
+        self.ftest('exp(1)', math.exp(1), math.e)
+        self.assertEqual(math.exp(INF), INF)
+        self.assertEqual(math.exp(NINF), 0.)
+        self.assertTrue(math.isnan(math.exp(NAN)))
+
+    def testFabs(self):
+        self.assertRaises(TypeError, math.fabs)
+        self.ftest('fabs(-1)', math.fabs(-1), 1)
+        self.ftest('fabs(0)', math.fabs(0), 0)
+        self.ftest('fabs(1)', math.fabs(1), 1)
+
+    def testFactorial(self):
+        self.assertEqual(math.factorial(0), 1)
+        self.assertEqual(math.factorial(0.0), 1)
+        total = 1
+        for i in range(1, 1000):
+            total *= i
+            self.assertEqual(math.factorial(i), total)
+            self.assertEqual(math.factorial(float(i)), total)
+            self.assertEqual(math.factorial(i), py_factorial(i))
+        self.assertRaises(ValueError, math.factorial, -1)
+        self.assertRaises(ValueError, math.factorial, -1.0)
+        self.assertRaises(ValueError, math.factorial, math.pi)
+        self.assertRaises(OverflowError, math.factorial, sys.maxsize+1)
+        self.assertRaises(OverflowError, math.factorial, 10e100)
+
+    def testFloor(self):
+        self.assertRaises(TypeError, math.floor)
+        self.assertEqual(int, type(math.floor(0.5)))
+        self.ftest('floor(0.5)', math.floor(0.5), 0)
+        self.ftest('floor(1.0)', math.floor(1.0), 1)
+        self.ftest('floor(1.5)', math.floor(1.5), 1)
+        self.ftest('floor(-0.5)', math.floor(-0.5), -1)
+        self.ftest('floor(-1.0)', math.floor(-1.0), -1)
+        self.ftest('floor(-1.5)', math.floor(-1.5), -2)
+        # pow() relies on floor() to check for integers
+        # This fails on some platforms - so check it here
+        self.ftest('floor(1.23e167)', math.floor(1.23e167), 1.23e167)
+        self.ftest('floor(-1.23e167)', math.floor(-1.23e167), -1.23e167)
+        #self.assertEqual(math.ceil(INF), INF)
+        #self.assertEqual(math.ceil(NINF), NINF)
+        #self.assertTrue(math.isnan(math.floor(NAN)))
+
+        self.ftest('floor(TestFloor())', math.floor(TestFloor()), 42)
+        self.assertRaises(TypeError, math.floor, TestNoFloor())
+
+        t = TestNoFloor()
+        t.__floor__ = lambda *args: args # type: ignore
+        self.assertRaises(TypeError, math.floor, t)
+        self.assertRaises(TypeError, math.floor, t, 0)
+
+    def testFmod(self):
+        self.assertRaises(TypeError, math.fmod)
+        self.ftest('fmod(10, 1)', math.fmod(10, 1), 0.0)
+        self.ftest('fmod(10, 0.5)', math.fmod(10, 0.5), 0.0)
+        self.ftest('fmod(10, 1.5)', math.fmod(10, 1.5), 1.0)
+        self.ftest('fmod(-10, 1)', math.fmod(-10, 1), -0.0)
+        self.ftest('fmod(-10, 0.5)', math.fmod(-10, 0.5), -0.0)
+        self.ftest('fmod(-10, 1.5)', math.fmod(-10, 1.5), -1.0)
+        self.assertTrue(math.isnan(math.fmod(NAN, 1.)))
+        self.assertTrue(math.isnan(math.fmod(1., NAN)))
+        self.assertTrue(math.isnan(math.fmod(NAN, NAN)))
+        self.assertRaises(ValueError, math.fmod, 1., 0.)
+        self.assertRaises(ValueError, math.fmod, INF, 1.)
+        self.assertRaises(ValueError, math.fmod, NINF, 1.)
+        self.assertRaises(ValueError, math.fmod, INF, 0.)
+        self.assertEqual(math.fmod(3.0, INF), 3.0)
+        self.assertEqual(math.fmod(-3.0, INF), -3.0)
+        self.assertEqual(math.fmod(3.0, NINF), 3.0)
+        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)
+
+    def testFrexp(self):
+        self.assertRaises(TypeError, math.frexp)
+
+        def testfrexp(name, result, expected):
+            (mant, exp), (emant, eexp) = result, expected
+            if abs(mant-emant) > eps or exp != eexp:
+                self.fail('%s returned %r, expected %r'%\
+                          (name, result, expected))
+
+        testfrexp('frexp(-1)', math.frexp(-1), (-0.5, 1))
+        testfrexp('frexp(0)', math.frexp(0), (0, 0))
+        testfrexp('frexp(1)', math.frexp(1), (0.5, 1))
+        testfrexp('frexp(2)', math.frexp(2), (0.5, 2))
+
+        self.assertEqual(math.frexp(INF)[0], INF)
+        self.assertEqual(math.frexp(NINF)[0], NINF)
+        self.assertTrue(math.isnan(math.frexp(NAN)[0]))
+
+    @requires_IEEE_754
+    def testFsum(self):
+        if HAVE_DOUBLE_ROUNDING:
+            # fsum is not exact on machines with double rounding
+            return
+        # math.fsum relies on exact rounding for correct operation.
+        # There's a known problem with IA32 floating-point that causes
+        # inexact rounding in some situations, and will cause the
+        # math.fsum tests below to fail; see issue #2937.  On non IEEE
+        # 754 platforms, and on IEEE 754 platforms that exhibit the
+        # problem described in issue #2937, we simply skip the whole
+        # test.
+
+        # Python version of math.fsum, for comparison.  Uses a
+        # different algorithm based on frexp, ldexp and integer
+        # arithmetic.
+        from sys import float_info
+        mant_dig = float_info.mant_dig
+        etiny = float_info.min_exp - mant_dig
+
+        def msum(iterable):
+            """Full precision summation.  Compute sum(iterable) without any
+            intermediate accumulation of error.  Based on the 'lsum' function
+            at http://code.activestate.com/recipes/393090/
+
+            """
+            tmant, texp = 0, 0
+            for x in iterable:
+                mant, exp = math.frexp(x)
+                mant, exp = int(math.ldexp(mant, mant_dig)), exp - mant_dig
+                if texp > exp:
+                    tmant <<= texp-exp
+                    texp = exp
+                else:
+                    mant <<= exp-texp
+                tmant += mant
+            # Round tmant * 2**texp to a float.  The original recipe
+            # used float(str(tmant)) * 2.0**texp for this, but that's
+            # a little unsafe because str -> float conversion can't be
+            # relied upon to do correct rounding on all platforms.
+            tail = max(len(bin(abs(tmant)))-2 - mant_dig, etiny - texp)
+            if tail > 0:
+                h = 1 << (tail-1)
+                tmant = tmant // (2*h) + bool(tmant & h and tmant & 3*h-1)
+                texp += tail
+            return math.ldexp(tmant, texp)
+
+        test_values = [
+            ([], 0.0),
+            ([0.0], 0.0),
+            ([1e100, 1.0, -1e100, 1e-100, 1e50, -1.0, -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),
+            ([2.0**53-4.0, 0.5, 2.0**-54], 2.0**53-3.0),
+            ([1./n for n in range(1, 1001)],
+             float.fromhex('0x1.df11f45f4e61ap+2')),
+            ([(-1.)**n/n for n in range(1, 1001)],
+             float.fromhex('-0x1.62a2af1bd3624p-1')),
+            ([1.7**(i+1)-1.7**i for i in range(1000)] + [-1.7**1000], -1.0),
+            ([1e16, 1., 1e-16], 10000000000000002.0),
+            ([1e16-2., 1.-2.**-53, -(1e16-2.), -(1.-2.**-53)], 0.0),
+            # exercise code for resizing partials array
+            ([2.**n - 2.**(n+50) + 2.**(n+52) for n in range(-1074, 972, 2)] +
+             [-2.**1022],
+             float.fromhex('0x1.5555555555555p+970')),
+            ]
+
+        for i, _t in enumerate(test_values):
+            (vals, expected) = _t
+            try:
+                actual = math.fsum(vals)
+            except OverflowError:
+                self.fail(f"test {i} failed: got OverflowError, expected {expected!r} for math.fsum({vals!r})")
+            except ValueError:
+                self.fail(f"test {i} failed: got ValueError, expected {expected!r} for math.fsum({vals!r})")
+            self.assertEqual(actual, expected)
+
+        from random import random, gauss, shuffle
+        for j in range(1000):
+            vals = [7, 1e100, -7, -1e100, -9e-20, 8e-20] * 10
+            s = 0
+            for i in range(200):
+                v = gauss(0, random()) ** 7 - s
+                s += v
+                vals.append(v)
+            shuffle(vals)
+
+            s = msum(vals)
+            self.assertEqual(msum(vals), math.fsum(vals))
+
+    def testHypot(self):
+        self.assertRaises(TypeError, math.hypot)
+        self.ftest('hypot(0,0)', math.hypot(0,0), 0)
+        self.ftest('hypot(3,4)', math.hypot(3,4), 5)
+        self.assertEqual(math.hypot(NAN, INF), INF)
+        self.assertEqual(math.hypot(INF, NAN), INF)
+        self.assertEqual(math.hypot(NAN, NINF), INF)
+        self.assertEqual(math.hypot(NINF, NAN), INF)
+        self.assertTrue(math.isnan(math.hypot(1.0, NAN)))
+        self.assertTrue(math.isnan(math.hypot(NAN, -2.0)))
+
+    def testLdexp(self):
+        self.assertRaises(TypeError, math.ldexp)
+        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)
+        self.ftest('ldexp(-1,1)', math.ldexp(-1,1), -2)
+        self.assertRaises(OverflowError, math.ldexp, 1., 1000000)
+        self.assertRaises(OverflowError, math.ldexp, -1., 1000000)
+        self.assertEqual(math.ldexp(1., -1000000), 0.)
+        self.assertEqual(math.ldexp(-1., -1000000), -0.)
+        self.assertEqual(math.ldexp(INF, 30), INF)
+        self.assertEqual(math.ldexp(NINF, -213), NINF)
+        self.assertTrue(math.isnan(math.ldexp(NAN, 0)))
+
+        # large second argument
+        for n in [10**5, 10**10, 10**20, 10**40]:
+            self.assertEqual(math.ldexp(INF, -n), INF)
+            self.assertEqual(math.ldexp(NINF, -n), NINF)
+            self.assertEqual(math.ldexp(1., -n), 0.)
+            self.assertEqual(math.ldexp(-1., -n), -0.)
+            self.assertEqual(math.ldexp(0., -n), 0.)
+            self.assertEqual(math.ldexp(-0., -n), -0.)
+            self.assertTrue(math.isnan(math.ldexp(NAN, -n)))
+
+            self.assertRaises(OverflowError, math.ldexp, 1., n)
+            self.assertRaises(OverflowError, math.ldexp, -1., n)
+            self.assertEqual(math.ldexp(0., n), 0.)
+            self.assertEqual(math.ldexp(-0., n), -0.)
+            self.assertEqual(math.ldexp(INF, n), INF)
+            self.assertEqual(math.ldexp(NINF, n), NINF)
+            self.assertTrue(math.isnan(math.ldexp(NAN, n)))
+
+    def testLog(self):
+        self.assertRaises(TypeError, math.log)
+        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)
+        self.ftest('log(32,2)', math.log(32,2), 5)
+        self.ftest('log(10**40, 10)', math.log(10**40, 10), 40)
+        self.ftest('log(10**40, 10**20)', math.log(10**40, 10**20), 2)
+        self.ftest('log(10**1000)', math.log(10**1000),
+                   2302.5850929940457)
+        self.assertRaises(ValueError, math.log, -1.5)
+        self.assertRaises(ValueError, math.log, -10**1000)
+        self.assertRaises(ValueError, math.log, NINF)
+        self.assertEqual(math.log(INF), INF)
+        self.assertTrue(math.isnan(math.log(NAN)))
+
+    def testLog1p(self):
+        self.assertRaises(TypeError, math.log1p)
+        n= 2**90
+        self.assertAlmostEqual(math.log1p(n), math.log1p(float(n)))
+
+    @requires_IEEE_754
+    def testLog2(self):
+        self.assertRaises(TypeError, math.log2)
+
+        # Check some integer values
+        self.assertEqual(math.log2(1), 0.0)
+        self.assertEqual(math.log2(2), 1.0)
+        self.assertEqual(math.log2(4), 2.0)
+
+        # Large integer values
+        self.assertEqual(math.log2(2**1023), 1023.0)
+        self.assertEqual(math.log2(2**1024), 1024.0)
+        self.assertEqual(math.log2(2**2000), 2000.0)
+
+        self.assertRaises(ValueError, math.log2, -1.5)
+        self.assertRaises(ValueError, math.log2, NINF)
+        self.assertTrue(math.isnan(math.log2(NAN)))
+
+    @requires_IEEE_754
+    # log2() is not accurate enough on Mac OS X Tiger (10.4)
+    # @support.requires_mac_ver(10, 5)
+    def testLog2Exact(self):
+        # Check that we get exact equality for log2 of powers of 2.
+        actual = [math.log2(math.ldexp(1.0, n)) for n in range(-1074, 1024)]
+        expected = [float(n) for n in range(-1074, 1024)]
+        self.assertEqual(actual, expected)
+
+    def testLog10(self):
+        self.assertRaises(TypeError, math.log10)
+        self.ftest('log10(0.1)', math.log10(0.1), -1)
+        self.ftest('log10(1)', math.log10(1), 0)
+        self.ftest('log10(10)', math.log10(10), 1)
+        self.ftest('log10(10**1000)', math.log10(10**1000), 1000.0)
+        self.assertRaises(ValueError, math.log10, -1.5)
+        self.assertRaises(ValueError, math.log10, -10**1000)
+        self.assertRaises(ValueError, math.log10, NINF)
+        self.assertEqual(math.log(INF), INF)
+        self.assertTrue(math.isnan(math.log10(NAN)))
+
+    def testModf(self):
+        self.assertRaises(TypeError, math.modf)
+
+        def testmodf(name, result, expected):
+            (v1, v2), (e1, e2) = result, expected
+            if abs(v1-e1) > eps or abs(v2-e2):
+                self.fail('%s returned %r, expected %r'%\
+                          (name, result, expected))
+
+        testmodf('modf(1.5)', math.modf(1.5), (0.5, 1.0))
+        testmodf('modf(-1.5)', math.modf(-1.5), (-0.5, -1.0))
+
+        self.assertEqual(math.modf(INF), (0.0, INF))
+        self.assertEqual(math.modf(NINF), (-0.0, NINF))
+
+        modf_nan = math.modf(NAN)
+        self.assertTrue(math.isnan(modf_nan[0]))
+        self.assertTrue(math.isnan(modf_nan[1]))
+
+    def testPow(self):
+        self.assertRaises(TypeError, math.pow)
+        self.ftest('pow(0,1)', math.pow(0,1), 0)
+        self.ftest('pow(1,0)', math.pow(1,0), 1)
+        self.ftest('pow(2,1)', math.pow(2,1), 2)
+        self.ftest('pow(2,-1)', math.pow(2,-1), 0.5)
+        self.assertEqual(math.pow(INF, 1), INF)
+        self.assertEqual(math.pow(NINF, 1), NINF)
+        self.assertEqual((math.pow(1, INF)), 1.)
+        self.assertEqual((math.pow(1, NINF)), 1.)
+        self.assertTrue(math.isnan(math.pow(NAN, 1)))
+        self.assertTrue(math.isnan(math.pow(2, NAN)))
+        self.assertTrue(math.isnan(math.pow(0, NAN)))
+        self.assertEqual(math.pow(1, NAN), 1)
+
+        # pow(0., x)
+        self.assertEqual(math.pow(0., INF), 0.)
+        self.assertEqual(math.pow(0., 3.), 0.)
+        self.assertEqual(math.pow(0., 2.3), 0.)
+        self.assertEqual(math.pow(0., 2.), 0.)
+        self.assertEqual(math.pow(0., 0.), 1.)
+        self.assertEqual(math.pow(0., -0.), 1.)
+        self.assertRaises(ValueError, math.pow, 0., -2.)
+        self.assertRaises(ValueError, math.pow, 0., -2.3)
+        self.assertRaises(ValueError, math.pow, 0., -3.)
+        self.assertRaises(ValueError, math.pow, 0., NINF)
+        self.assertTrue(math.isnan(math.pow(0., NAN)))
+
+        # pow(INF, x)
+        self.assertEqual(math.pow(INF, INF), INF)
+        self.assertEqual(math.pow(INF, 3.), INF)
+        self.assertEqual(math.pow(INF, 2.3), INF)
+        self.assertEqual(math.pow(INF, 2.), INF)
+        self.assertEqual(math.pow(INF, 0.), 1.)
+        self.assertEqual(math.pow(INF, -0.), 1.)
+        self.assertEqual(math.pow(INF, -2.), 0.)
+        self.assertEqual(math.pow(INF, -2.3), 0.)
+        self.assertEqual(math.pow(INF, -3.), 0.)
+        self.assertEqual(math.pow(INF, NINF), 0.)
+        self.assertTrue(math.isnan(math.pow(INF, NAN)))
+
+        # pow(-0., x)
+        self.assertEqual(math.pow(-0., INF), 0.)
+        self.assertEqual(math.pow(-0., 3.), -0.)
+        self.assertEqual(math.pow(-0., 2.3), 0.)
+        self.assertEqual(math.pow(-0., 2.), 0.)
+        self.assertEqual(math.pow(-0., 0.), 1.)
+        self.assertEqual(math.pow(-0., -0.), 1.)
+        self.assertRaises(ValueError, math.pow, -0., -2.)
+        self.assertRaises(ValueError, math.pow, -0., -2.3)
+        self.assertRaises(ValueError, math.pow, -0., -3.)
+        self.assertRaises(ValueError, math.pow, -0., NINF)
+        self.assertTrue(math.isnan(math.pow(-0., NAN)))
+
+        # pow(NINF, x)
+        self.assertEqual(math.pow(NINF, INF), INF)
+        self.assertEqual(math.pow(NINF, 3.), NINF)
+        self.assertEqual(math.pow(NINF, 2.3), INF)
+        self.assertEqual(math.pow(NINF, 2.), INF)
+        self.assertEqual(math.pow(NINF, 0.), 1.)
+        self.assertEqual(math.pow(NINF, -0.), 1.)
+        self.assertEqual(math.pow(NINF, -2.), 0.)
+        self.assertEqual(math.pow(NINF, -2.3), 0.)
+        self.assertEqual(math.pow(NINF, -3.), -0.)
+        self.assertEqual(math.pow(NINF, NINF), 0.)
+        self.assertTrue(math.isnan(math.pow(NINF, NAN)))
+
+        # pow(-1, x)
+        self.assertEqual(math.pow(-1., INF), 1.)
+        self.assertEqual(math.pow(-1., 3.), -1.)
+        self.assertRaises(ValueError, math.pow, -1., 2.3)
+        self.assertEqual(math.pow(-1., 2.), 1.)
+        self.assertEqual(math.pow(-1., 0.), 1.)
+        self.assertEqual(math.pow(-1., -0.), 1.)
+        self.assertEqual(math.pow(-1., -2.), 1.)
+        self.assertRaises(ValueError, math.pow, -1., -2.3)
+        self.assertEqual(math.pow(-1., -3.), -1.)
+        self.assertEqual(math.pow(-1., NINF), 1.)
+        self.assertTrue(math.isnan(math.pow(-1., NAN)))
+
+        # pow(1, x)
+        self.assertEqual(math.pow(1., INF), 1.)
+        self.assertEqual(math.pow(1., 3.), 1.)
+        self.assertEqual(math.pow(1., 2.3), 1.)
+        self.assertEqual(math.pow(1., 2.), 1.)
+        self.assertEqual(math.pow(1., 0.), 1.)
+        self.assertEqual(math.pow(1., -0.), 1.)
+        self.assertEqual(math.pow(1., -2.), 1.)
+        self.assertEqual(math.pow(1., -2.3), 1.)
+        self.assertEqual(math.pow(1., -3.), 1.)
+        self.assertEqual(math.pow(1., NINF), 1.)
+        self.assertEqual(math.pow(1., NAN), 1.)
+
+        # pow(x, 0) should be 1 for any x
+        self.assertEqual(math.pow(2.3, 0.), 1.)
+        self.assertEqual(math.pow(-2.3, 0.), 1.)
+        self.assertEqual(math.pow(NAN, 0.), 1.)
+        self.assertEqual(math.pow(2.3, -0.), 1.)
+        self.assertEqual(math.pow(-2.3, -0.), 1.)
+        self.assertEqual(math.pow(NAN, -0.), 1.)
+
+        # pow(x, y) is invalid if x is negative and y is not integral
+        self.assertRaises(ValueError, math.pow, -1., 2.3)
+        self.assertRaises(ValueError, math.pow, -15., -3.1)
+
+        # pow(x, NINF)
+        self.assertEqual(math.pow(1.9, NINF), 0.)
+        self.assertEqual(math.pow(1.1, NINF), 0.)
+        self.assertEqual(math.pow(0.9, NINF), INF)
+        self.assertEqual(math.pow(0.1, NINF), INF)
+        self.assertEqual(math.pow(-0.1, NINF), INF)
+        self.assertEqual(math.pow(-0.9, NINF), INF)
+        self.assertEqual(math.pow(-1.1, NINF), 0.)
+        self.assertEqual(math.pow(-1.9, NINF), 0.)
+
+        # pow(x, INF)
+        self.assertEqual(math.pow(1.9, INF), INF)
+        self.assertEqual(math.pow(1.1, INF), INF)
+        self.assertEqual(math.pow(0.9, INF), 0.)
+        self.assertEqual(math.pow(0.1, INF), 0.)
+        self.assertEqual(math.pow(-0.1, INF), 0.)
+        self.assertEqual(math.pow(-0.9, INF), 0.)
+        self.assertEqual(math.pow(-1.1, INF), INF)
+        self.assertEqual(math.pow(-1.9, INF), INF)
+
+        # pow(x, y) should work for x negative, y an integer
+        self.ftest('(-2.)**3.', math.pow(-2.0, 3.0), -8.0)
+        self.ftest('(-2.)**2.', math.pow(-2.0, 2.0), 4.0)
+        self.ftest('(-2.)**1.', math.pow(-2.0, 1.0), -2.0)
+        self.ftest('(-2.)**0.', math.pow(-2.0, 0.0), 1.0)
+        self.ftest('(-2.)**-0.', math.pow(-2.0, -0.0), 1.0)
+        self.ftest('(-2.)**-1.', math.pow(-2.0, -1.0), -0.5)
+        self.ftest('(-2.)**-2.', math.pow(-2.0, -2.0), 0.25)
+        self.ftest('(-2.)**-3.', math.pow(-2.0, -3.0), -0.125)
+        self.assertRaises(ValueError, math.pow, -2.0, -0.5)
+        self.assertRaises(ValueError, math.pow, -2.0, 0.5)
+
+        # the following tests have been commented out since they don't
+        # really belong here:  the implementation of ** for floats is
+        # independent of the implementation of math.pow
+        #self.assertEqual(1**NAN, 1)
+        #self.assertEqual(1**INF, 1)
+        #self.assertEqual(1**NINF, 1)
+        #self.assertEqual(1**0, 1)
+        #self.assertEqual(1.**NAN, 1)
+        #self.assertEqual(1.**INF, 1)
+        #self.assertEqual(1.**NINF, 1)
+        #self.assertEqual(1.**0, 1)
+
+    def testRadians(self):
+        self.assertRaises(TypeError, math.radians)
+        self.ftest('radians(180)', math.radians(180), math.pi)
+        self.ftest('radians(90)', math.radians(90), math.pi/2)
+        self.ftest('radians(-45)', math.radians(-45), -math.pi/4)
+
+    def testSin(self):
+        self.assertRaises(TypeError, math.sin)
+        self.ftest('sin(0)', math.sin(0), 0)
+        self.ftest('sin(pi/2)', math.sin(math.pi/2), 1)
+        self.ftest('sin(-pi/2)', math.sin(-math.pi/2), -1)
+        try:
+            self.assertTrue(math.isnan(math.sin(INF)))
+            self.assertTrue(math.isnan(math.sin(NINF)))
+        except ValueError:
+            self.assertRaises(ValueError, math.sin, INF)
+            self.assertRaises(ValueError, math.sin, NINF)
+        self.assertTrue(math.isnan(math.sin(NAN)))
+
+    def testSinh(self):
+        self.assertRaises(TypeError, math.sinh)
+        self.ftest('sinh(0)', math.sinh(0), 0)
+        self.ftest('sinh(1)**2-cosh(1)**2', math.sinh(1)**2-math.cosh(1)**2, -1)
+        self.ftest('sinh(1)+sinh(-1)', math.sinh(1)+math.sinh(-1), 0)
+        self.assertEqual(math.sinh(INF), INF)
+        self.assertEqual(math.sinh(NINF), NINF)
+        self.assertTrue(math.isnan(math.sinh(NAN)))
+
+    def testSqrt(self):
+        self.assertRaises(TypeError, math.sqrt)
+        self.ftest('sqrt(0)', math.sqrt(0), 0)
+        self.ftest('sqrt(1)', math.sqrt(1), 1)
+        self.ftest('sqrt(4)', math.sqrt(4), 2)
+        self.assertEqual(math.sqrt(INF), INF)
+        self.assertRaises(ValueError, math.sqrt, NINF)
+        self.assertTrue(math.isnan(math.sqrt(NAN)))
+
+    def testTan(self):
+        self.assertRaises(TypeError, math.tan)
+        self.ftest('tan(0)', math.tan(0), 0)
+        self.ftest('tan(pi/4)', math.tan(math.pi/4), 1)
+        self.ftest('tan(-pi/4)', math.tan(-math.pi/4), -1)
+        try:
+            self.assertTrue(math.isnan(math.tan(INF)))
+            self.assertTrue(math.isnan(math.tan(NINF)))
+        except:
+            self.assertRaises(ValueError, math.tan, INF)
+            self.assertRaises(ValueError, math.tan, NINF)
+        self.assertTrue(math.isnan(math.tan(NAN)))
+
+    def testTanh(self):
+        self.assertRaises(TypeError, math.tanh)
+        self.ftest('tanh(0)', math.tanh(0), 0)
+        self.ftest('tanh(1)+tanh(-1)', math.tanh(1)+math.tanh(-1), 0)
+        self.ftest('tanh(inf)', math.tanh(INF), 1)
+        self.ftest('tanh(-inf)', math.tanh(NINF), -1)
+        self.assertTrue(math.isnan(math.tanh(NAN)))
+
+    @requires_IEEE_754
+    # @unittest.skipIf(sysconfig.get_config_var('TANH_PRESERVES_ZERO_SIGN') == 0,
+    #                  "system tanh() function doesn't copy the sign")
+    def testTanhSign(self):
+        # check that tanh(-0.) == -0. on IEEE 754 systems
+        self.assertEqual(math.tanh(-0.), -0.)
+        self.assertEqual(math.copysign(1., math.tanh(-0.)),
+                         math.copysign(1., -0.))
+
+    def test_trunc(self):
+        self.assertEqual(math.trunc(1), 1)
+        self.assertEqual(math.trunc(-1), -1)
+        self.assertEqual(type(math.trunc(1)), int)
+        self.assertEqual(type(math.trunc(1.5)), int)
+        self.assertEqual(math.trunc(1.5), 1)
+        self.assertEqual(math.trunc(-1.5), -1)
+        self.assertEqual(math.trunc(1.999999), 1)
+        self.assertEqual(math.trunc(-1.999999), -1)
+        self.assertEqual(math.trunc(-0.999999), -0)
+        self.assertEqual(math.trunc(-100.999), -100)
+
+        self.assertEqual(math.trunc(TestTrunc()), 23)
+
+        self.assertRaises(TypeError, math.trunc)
+        self.assertRaises(TypeError, math.trunc, 1, 2)
+        self.assertRaises(TypeError, math.trunc, TestNoTrunc())
+
+    def testIsfinite(self):
+        self.assertTrue(math.isfinite(0.0))
+        self.assertTrue(math.isfinite(-0.0))
+        self.assertTrue(math.isfinite(1.0))
+        self.assertTrue(math.isfinite(-1.0))
+        self.assertFalse(math.isfinite(float("nan")))
+        self.assertFalse(math.isfinite(float("inf")))
+        self.assertFalse(math.isfinite(float("-inf")))
+
+    def testIsnan(self):
+        self.assertTrue(math.isnan(float("nan")))
+        self.assertTrue(math.isnan(float("inf")* 0.))
+        self.assertFalse(math.isnan(float("inf")))
+        self.assertFalse(math.isnan(0.))
+        self.assertFalse(math.isnan(1.))
+
+    def testIsinf(self):
+        self.assertTrue(math.isinf(float("inf")))
+        self.assertTrue(math.isinf(float("-inf")))
+        self.assertTrue(math.isinf(1E400))
+        self.assertTrue(math.isinf(-1E400))
+        self.assertFalse(math.isinf(float("nan")))
+        self.assertFalse(math.isinf(0.))
+        self.assertFalse(math.isinf(1.))
+
+    # RED_FLAG 16-Oct-2000 Tim
+    # While 2.0 is more consistent about exceptions than previous releases, it
+    # still fails this part of the test on some platforms.  For now, we only
+    # *run* test_exceptions() in verbose mode, so that this isn't normally
+    # tested.
+    # @unittest.skipUnless(verbose, 'requires verbose mode')
+    def test_exceptions(self):
+        try:
+            x = math.exp(-1000000000)
+        except:
+            # mathmodule.c is failing to weed out underflows from libm, or
+            # we've got an fp format with huge dynamic range
+            self.fail("underflowing exp() should not have raised an exception")
+        if x != 0:
+            self.fail("underflowing exp() should have returned 0")
+
+        # If this fails, probably using a strict IEEE-754 conforming libm, and x
+        # is +Inf afterwards.  But Python wants overflows detected by default.
+        try:
+            x = math.exp(1000000000)
+            self.fail("overflowing exp() didn't trigger OverflowError")
+        except OverflowError:
+            pass            
+
+        # If this fails, it could be a puzzle.  One odd possibility is that
+        # mathmodule.c's macros are getting confused while comparing
+        # Inf (HUGE_VAL) to a NaN, and artificially setting errno to ERANGE
+        # as a result (and so raising OverflowError instead).
+        try:
+            x = math.sqrt(-1.0)
+            self.fail("sqrt(-1) didn't raise ValueError")
+        except ValueError:
+            pass            
+
+    @requires_IEEE_754
+    def test_testfile(self):
+        for id, fn, ar, ai, er, ei, flags in parse_testfile(test_file):
+            # Skip if either the input or result is complex, or if
+            # flags is nonempty
+            if ai != 0. or ei != 0. or flags:
+                continue
+            if fn in ['rect', 'polar']:
+                # no real versions of rect, polar
+                continue
+            func = getattr(math, fn)
+            try:
+                result = func(ar)
+            except ValueError as exc:
+                message = (("Unexpected ValueError: %s\n        " +
+                           "in test %s:%s(%r)\n") % (exc.args[0], id, fn, ar))
+                self.fail(message)
+            except OverflowError:
+                message = ("Unexpected OverflowError in " +
+                           "test %s:%s(%r)\n" % (id, fn, ar))
+                self.fail(message)
+            self.ftest("%s:%s(%r)" % (id, fn, ar), result, er)
+
+    @requires_IEEE_754
+    def test_mtestfile(self):
+        fail_fmt = "{}:{}({!r}): expected {!r}, got {!r}"
+
+        failures = []
+        for id, fn, arg, expected, flags in parse_mtestfile(math_testcases):
+            func = getattr(math, fn)
+
+            if 'invalid' in flags or 'divide-by-zero' in flags:
+                expected = 'ValueError'
+            elif 'overflow' in flags:
+                expected = 'OverflowError'
+
+            try:
+                got = func(arg)
+            except ValueError:
+                got = 'ValueError'
+            except OverflowError:
+                got = 'OverflowError'
+
+            accuracy_failure = None
+            if isinstance(got, float) and isinstance(expected, float):
+                if math.isnan(expected) and math.isnan(got):
+                    continue
+                if not math.isnan(expected) and not math.isnan(got):
+                    if fn == 'lgamma':
+                        # we use a weaker accuracy test for lgamma;
+                        # lgamma only achieves an absolute error of
+                        # a few multiples of the machine accuracy, in
+                        # general.
+                        accuracy_failure = acc_check(expected, got,
+                                                  rel_err = 5e-15,
+                                                  abs_err = 5e-15)
+                    elif fn == 'erfc':
+                        # erfc has less-than-ideal accuracy for large
+                        # arguments (x ~ 25 or so), mainly due to the
+                        # error involved in computing exp(-x*x).
+                        #
+                        # XXX Would be better to weaken this test only
+                        # for large x, instead of for all x.
+                        accuracy_failure = ulps_check(expected, got, 2000)
+
+                    else:
+                        accuracy_failure = ulps_check(expected, got, 20)
+                    if accuracy_failure is None:
+                        continue
+
+            if isinstance(got, str) and isinstance(expected, str):
+                if got == expected:
+                    continue
+
+            fail_msg = fail_fmt.format(id, fn, arg, expected, got)
+            if accuracy_failure is not None:
+                fail_msg += ' ({})'.format(accuracy_failure)
+            failures.append(fail_msg)
+
+        if failures:
+            self.fail('Failures in test_mtestfile:\n  ' +
+                      '\n  '.join(failures))
+
+
+if __name__ == '__main__':
+    c = MathTests()
+    tests = list(MathTests.__dict__.items())
+    tests.sort(key=lambda x: x[0])
+    for k, v in tests:
+        if k.startswith('test'):
+            print(f'==> {k}...')
+            getattr(c, k)()
\ No newline at end of file
diff --git a/tests/cmath_testcases.txt b/tests/cmath_testcases.txt
new file mode 100644
index 00000000..e69de29b
diff --git a/tests/math_testcases.txt b/tests/math_testcases.txt
new file mode 100644
index 00000000..c65abbd9
--- /dev/null
+++ b/tests/math_testcases.txt
@@ -0,0 +1,633 @@
+-- Testcases for functions in math.
+--
+-- Each line takes the form:
+--
+-- <testid> <function> <input_value> -> <output_value> <flags>
+--
+-- where:
+--
+--   <testid> is a short name identifying the test,
+--
+--   <function> is the function to be tested (exp, cos, asinh, ...),
+--
+--   <input_value> is a string representing a floating-point value
+--
+--   <output_value> is the expected (ideal) output value, again
+--     represented as a string.
+--
+--   <flags> is a list of the floating-point flags required by C99
+--
+-- The possible flags are:
+--
+--   divide-by-zero : raised when a finite input gives a
+--     mathematically infinite result.
+--
+--   overflow : raised when a finite input gives a finite result that
+--     is too large to fit in the usual range of an IEEE 754 double.
+--
+--   invalid : raised for invalid inputs (e.g., sqrt(-1))
+--
+--   ignore-sign : indicates that the sign of the result is
+--     unspecified; e.g., if the result is given as inf,
+--     then both -inf and inf should be accepted as correct.
+--
+-- Flags may appear in any order.
+--
+-- Lines beginning with '--' (like this one) start a comment, and are
+-- ignored.  Blank lines, or lines containing only whitespace, are also
+-- ignored.
+
+-- Many of the values below were computed with the help of
+-- version 2.4 of the MPFR library for multiple-precision
+-- floating-point computations with correct rounding.  All output
+-- values in this file are (modulo yet-to-be-discovered bugs)
+-- correctly rounded, provided that each input and output decimal
+-- floating-point value below is interpreted as a representation of
+-- the corresponding nearest IEEE 754 double-precision value.  See the
+-- MPFR homepage at http://www.mpfr.org for more information about the
+-- MPFR project.
+
+
+-------------------------
+-- erf: error function --
+-------------------------
+
+erf0000 erf 0.0 -> 0.0
+erf0001 erf -0.0 -> -0.0
+erf0002 erf inf -> 1.0
+erf0003 erf -inf -> -1.0
+erf0004 erf nan -> nan
+
+-- tiny values
+erf0010 erf 1e-308 -> 1.1283791670955125e-308
+erf0011 erf 5e-324 -> 4.9406564584124654e-324
+erf0012 erf 1e-10 -> 1.1283791670955126e-10
+
+-- small integers
+erf0020 erf 1 -> 0.84270079294971489
+erf0021 erf 2 -> 0.99532226501895271
+erf0022 erf 3 -> 0.99997790950300136
+erf0023 erf 4 -> 0.99999998458274209
+erf0024 erf 5 -> 0.99999999999846256
+erf0025 erf 6 -> 1.0
+
+erf0030 erf -1 -> -0.84270079294971489
+erf0031 erf -2 -> -0.99532226501895271
+erf0032 erf -3 -> -0.99997790950300136
+erf0033 erf -4 -> -0.99999998458274209
+erf0034 erf -5 -> -0.99999999999846256
+erf0035 erf -6 -> -1.0
+
+-- huge values should all go to +/-1, depending on sign
+erf0040 erf -40 -> -1.0
+erf0041 erf 1e16 -> 1.0
+erf0042 erf -1e150 -> -1.0
+erf0043 erf 1.7e308 -> 1.0
+
+-- Issue 8986: inputs x with exp(-x*x) near the underflow threshold
+-- incorrectly signalled overflow on some platforms.
+erf0100 erf 26.2 -> 1.0
+erf0101 erf 26.4 -> 1.0
+erf0102 erf 26.6 -> 1.0
+erf0103 erf 26.8 -> 1.0
+erf0104 erf 27.0 -> 1.0
+erf0105 erf 27.2 -> 1.0
+erf0106 erf 27.4 -> 1.0
+erf0107 erf 27.6 -> 1.0
+
+erf0110 erf -26.2 -> -1.0
+erf0111 erf -26.4 -> -1.0
+erf0112 erf -26.6 -> -1.0
+erf0113 erf -26.8 -> -1.0
+erf0114 erf -27.0 -> -1.0
+erf0115 erf -27.2 -> -1.0
+erf0116 erf -27.4 -> -1.0
+erf0117 erf -27.6 -> -1.0
+
+----------------------------------------
+-- erfc: complementary error function --
+----------------------------------------
+
+erfc0000 erfc 0.0 -> 1.0
+erfc0001 erfc -0.0 -> 1.0
+erfc0002 erfc inf -> 0.0
+erfc0003 erfc -inf -> 2.0
+erfc0004 erfc nan -> nan
+
+-- tiny values
+erfc0010 erfc 1e-308 -> 1.0
+erfc0011 erfc 5e-324 -> 1.0
+erfc0012 erfc 1e-10 -> 0.99999999988716204
+
+-- small integers
+erfc0020 erfc 1 -> 0.15729920705028513
+erfc0021 erfc 2 -> 0.0046777349810472662
+erfc0022 erfc 3 -> 2.2090496998585441e-05
+erfc0023 erfc 4 -> 1.541725790028002e-08
+erfc0024 erfc 5 -> 1.5374597944280349e-12
+erfc0025 erfc 6 -> 2.1519736712498913e-17
+
+erfc0030 erfc -1 -> 1.8427007929497148
+erfc0031 erfc -2 -> 1.9953222650189528
+erfc0032 erfc -3 -> 1.9999779095030015
+erfc0033 erfc -4 -> 1.9999999845827421
+erfc0034 erfc -5 -> 1.9999999999984626
+erfc0035 erfc -6 -> 2.0
+
+-- as x -> infinity, erfc(x) behaves like exp(-x*x)/x/sqrt(pi)
+erfc0040 erfc 20 -> 5.3958656116079012e-176
+erfc0041 erfc 25 -> 8.3001725711965228e-274
+erfc0042 erfc 27 -> 5.2370464393526292e-319
+erfc0043 erfc 28 -> 0.0
+
+-- huge values
+erfc0050 erfc -40 -> 2.0
+erfc0051 erfc 1e16 -> 0.0
+erfc0052 erfc -1e150 -> 2.0
+erfc0053 erfc 1.7e308 -> 0.0
+
+-- Issue 8986: inputs x with exp(-x*x) near the underflow threshold
+-- incorrectly signalled overflow on some platforms.
+erfc0100 erfc 26.2 -> 1.6432507924389461e-300
+erfc0101 erfc 26.4 -> 4.4017768588035426e-305
+erfc0102 erfc 26.6 -> 1.0885125885442269e-309
+erfc0103 erfc 26.8 -> 2.4849621571966629e-314
+erfc0104 erfc 27.0 -> 5.2370464393526292e-319
+erfc0105 erfc 27.2 -> 9.8813129168249309e-324
+erfc0106 erfc 27.4 -> 0.0
+erfc0107 erfc 27.6 -> 0.0
+
+erfc0110 erfc -26.2 -> 2.0
+erfc0111 erfc -26.4 -> 2.0
+erfc0112 erfc -26.6 -> 2.0
+erfc0113 erfc -26.8 -> 2.0
+erfc0114 erfc -27.0 -> 2.0
+erfc0115 erfc -27.2 -> 2.0
+erfc0116 erfc -27.4 -> 2.0
+erfc0117 erfc -27.6 -> 2.0
+
+---------------------------------------------------------
+-- lgamma: log of absolute value of the gamma function --
+---------------------------------------------------------
+
+-- special values
+lgam0000 lgamma 0.0 -> inf      divide-by-zero
+lgam0001 lgamma -0.0 -> inf     divide-by-zero
+lgam0002 lgamma inf -> inf
+lgam0003 lgamma -inf -> inf
+lgam0004 lgamma nan -> nan
+
+-- negative integers
+lgam0010 lgamma -1 -> inf       divide-by-zero
+lgam0011 lgamma -2 -> inf       divide-by-zero
+lgam0012 lgamma -1e16 -> inf    divide-by-zero
+lgam0013 lgamma -1e300 -> inf   divide-by-zero
+lgam0014 lgamma -1.79e308 -> inf divide-by-zero
+
+-- small positive integers give factorials
+lgam0020 lgamma 1 -> 0.0
+lgam0021 lgamma 2 -> 0.0
+lgam0022 lgamma 3 -> 0.69314718055994529
+lgam0023 lgamma 4 -> 1.791759469228055
+lgam0024 lgamma 5 -> 3.1780538303479458
+lgam0025 lgamma 6 -> 4.7874917427820458
+
+-- half integers
+lgam0030 lgamma 0.5 -> 0.57236494292470008
+lgam0031 lgamma 1.5 -> -0.12078223763524522
+lgam0032 lgamma 2.5 -> 0.28468287047291918
+lgam0033 lgamma 3.5 -> 1.2009736023470743
+lgam0034 lgamma -0.5 -> 1.2655121234846454
+lgam0035 lgamma -1.5 -> 0.86004701537648098
+lgam0036 lgamma -2.5 -> -0.056243716497674054
+lgam0037 lgamma -3.5 -> -1.309006684993042
+
+-- values near 0
+lgam0040 lgamma 0.1 -> 2.252712651734206
+lgam0041 lgamma 0.01 -> 4.5994798780420219
+lgam0042 lgamma 1e-8 -> 18.420680738180209
+lgam0043 lgamma 1e-16 -> 36.841361487904734
+lgam0044 lgamma 1e-30 -> 69.077552789821368
+lgam0045 lgamma 1e-160 -> 368.41361487904732
+lgam0046 lgamma 1e-308 -> 709.19620864216608
+lgam0047 lgamma 5.6e-309 -> 709.77602713741896
+lgam0048 lgamma 5.5e-309 -> 709.79404564292167
+lgam0049 lgamma 1e-309 -> 711.49879373516012
+lgam0050 lgamma 1e-323 -> 743.74692474082133
+lgam0051 lgamma 5e-324 -> 744.44007192138122
+lgam0060 lgamma -0.1 -> 2.3689613327287886
+lgam0061 lgamma -0.01 -> 4.6110249927528013
+lgam0062 lgamma -1e-8 -> 18.420680749724522
+lgam0063 lgamma -1e-16 -> 36.841361487904734
+lgam0064 lgamma -1e-30 -> 69.077552789821368
+lgam0065 lgamma -1e-160 -> 368.41361487904732
+lgam0066 lgamma -1e-308 -> 709.19620864216608
+lgam0067 lgamma -5.6e-309 -> 709.77602713741896
+lgam0068 lgamma -5.5e-309 -> 709.79404564292167
+lgam0069 lgamma -1e-309 -> 711.49879373516012
+lgam0070 lgamma -1e-323 -> 743.74692474082133
+lgam0071 lgamma -5e-324 -> 744.44007192138122
+
+-- values near negative integers
+lgam0080 lgamma -0.99999999999999989 -> 36.736800569677101
+lgam0081 lgamma -1.0000000000000002 -> 36.043653389117154
+lgam0082 lgamma -1.9999999999999998 -> 35.350506208557213
+lgam0083 lgamma -2.0000000000000004 -> 34.657359027997266
+lgam0084 lgamma -100.00000000000001 -> -331.85460524980607
+lgam0085 lgamma -99.999999999999986 -> -331.85460524980596
+
+-- large inputs
+lgam0100 lgamma 170 -> 701.43726380873704
+lgam0101 lgamma 171 -> 706.57306224578736
+lgam0102 lgamma 171.624 -> 709.78077443669895
+lgam0103 lgamma 171.625 -> 709.78591682948365
+lgam0104 lgamma 172 -> 711.71472580228999
+lgam0105 lgamma 2000 -> 13198.923448054265
+lgam0106 lgamma 2.55998332785163e305 -> 1.7976931348623099e+308
+lgam0107 lgamma 2.55998332785164e305 -> inf overflow
+lgam0108 lgamma 1.7e308 -> inf overflow
+
+-- inputs for which gamma(x) is tiny
+lgam0120 lgamma -100.5 -> -364.90096830942736
+lgam0121 lgamma -160.5 -> -656.88005261126432
+lgam0122 lgamma -170.5 -> -707.99843314507882
+lgam0123 lgamma -171.5 -> -713.14301641168481
+lgam0124 lgamma -176.5 -> -738.95247590846486
+lgam0125 lgamma -177.5 -> -744.13144651738037
+lgam0126 lgamma -178.5 -> -749.3160351186001
+
+lgam0130 lgamma -1000.5 -> -5914.4377011168517
+lgam0131 lgamma -30000.5 -> -279278.6629959144
+lgam0132 lgamma -4503599627370495.5 -> -1.5782258434492883e+17
+
+-- results close to 0:  positive argument ...
+lgam0150 lgamma 0.99999999999999989 -> 6.4083812134800075e-17
+lgam0151 lgamma 1.0000000000000002 -> -1.2816762426960008e-16
+lgam0152 lgamma 1.9999999999999998 -> -9.3876980655431170e-17
+lgam0153 lgamma 2.0000000000000004 -> 1.8775396131086244e-16
+
+-- ... and negative argument
+lgam0160 lgamma -2.7476826467 -> -5.2477408147689136e-11
+lgam0161 lgamma -2.457024738 -> 3.3464637541912932e-10
+
+
+---------------------------
+-- gamma: Gamma function --
+---------------------------
+
+-- special values
+gam0000 gamma 0.0 -> inf        divide-by-zero
+gam0001 gamma -0.0 -> -inf      divide-by-zero
+gam0002 gamma inf -> inf
+gam0003 gamma -inf -> nan       invalid
+gam0004 gamma nan -> nan
+
+-- negative integers inputs are invalid
+gam0010 gamma -1 -> nan         invalid
+gam0011 gamma -2 -> nan         invalid
+gam0012 gamma -1e16 -> nan      invalid
+gam0013 gamma -1e300 -> nan     invalid
+
+-- small positive integers give factorials
+gam0020 gamma 1 -> 1
+gam0021 gamma 2 -> 1
+gam0022 gamma 3 -> 2
+gam0023 gamma 4 -> 6
+gam0024 gamma 5 -> 24
+gam0025 gamma 6 -> 120
+
+-- half integers
+gam0030 gamma 0.5 -> 1.7724538509055161
+gam0031 gamma 1.5 -> 0.88622692545275805
+gam0032 gamma 2.5 -> 1.3293403881791370
+gam0033 gamma 3.5 -> 3.3233509704478426
+gam0034 gamma -0.5 -> -3.5449077018110322
+gam0035 gamma -1.5 -> 2.3632718012073548
+gam0036 gamma -2.5 -> -0.94530872048294190
+gam0037 gamma -3.5 -> 0.27008820585226911
+
+-- values near 0
+gam0040 gamma 0.1 -> 9.5135076986687306
+gam0041 gamma 0.01 -> 99.432585119150602
+gam0042 gamma 1e-8 -> 99999999.422784343
+gam0043 gamma 1e-16 -> 10000000000000000
+gam0044 gamma 1e-30 -> 9.9999999999999988e+29
+gam0045 gamma 1e-160 -> 1.0000000000000000e+160
+gam0046 gamma 1e-308 -> 1.0000000000000000e+308
+gam0047 gamma 5.6e-309 -> 1.7857142857142848e+308
+gam0048 gamma 5.5e-309 -> inf   overflow
+gam0049 gamma 1e-309 -> inf     overflow
+gam0050 gamma 1e-323 -> inf     overflow
+gam0051 gamma 5e-324 -> inf     overflow
+gam0060 gamma -0.1 -> -10.686287021193193
+gam0061 gamma -0.01 -> -100.58719796441078
+gam0062 gamma -1e-8 -> -100000000.57721567
+gam0063 gamma -1e-16 -> -10000000000000000
+gam0064 gamma -1e-30 -> -9.9999999999999988e+29
+gam0065 gamma -1e-160 -> -1.0000000000000000e+160
+gam0066 gamma -1e-308 -> -1.0000000000000000e+308
+gam0067 gamma -5.6e-309 -> -1.7857142857142848e+308
+gam0068 gamma -5.5e-309 -> -inf overflow
+gam0069 gamma -1e-309 -> -inf   overflow
+gam0070 gamma -1e-323 -> -inf   overflow
+gam0071 gamma -5e-324 -> -inf   overflow
+
+-- values near negative integers
+gam0080 gamma -0.99999999999999989 -> -9007199254740992.0
+gam0081 gamma -1.0000000000000002 -> 4503599627370495.5
+gam0082 gamma -1.9999999999999998 -> 2251799813685248.5
+gam0083 gamma -2.0000000000000004 -> -1125899906842623.5
+gam0084 gamma -100.00000000000001 -> -7.5400833348831090e-145
+gam0085 gamma -99.999999999999986 -> 7.5400833348840962e-145
+
+-- large inputs
+gam0100 gamma 170 -> 4.2690680090047051e+304
+gam0101 gamma 171 -> 7.2574156153079990e+306
+gam0102 gamma 171.624 -> 1.7942117599248104e+308
+gam0103 gamma 171.625 -> inf    overflow
+gam0104 gamma 172 -> inf        overflow
+gam0105 gamma 2000 -> inf       overflow
+gam0106 gamma 1.7e308 -> inf    overflow
+
+-- inputs for which gamma(x) is tiny
+gam0120 gamma -100.5 -> -3.3536908198076787e-159
+gam0121 gamma -160.5 -> -5.2555464470078293e-286
+gam0122 gamma -170.5 -> -3.3127395215386074e-308
+gam0123 gamma -171.5 -> 1.9316265431711902e-310
+gam0124 gamma -176.5 -> -1.1956388629358166e-321
+gam0125 gamma -177.5 -> 4.9406564584124654e-324
+gam0126 gamma -178.5 -> -0.0
+gam0127 gamma -179.5 -> 0.0
+gam0128 gamma -201.0001 -> 0.0
+gam0129 gamma -202.9999 -> -0.0
+gam0130 gamma -1000.5 -> -0.0
+gam0131 gamma -1000000000.3 -> -0.0
+gam0132 gamma -4503599627370495.5 -> 0.0
+
+-- inputs that cause problems for the standard reflection formula,
+-- thanks to loss of accuracy in 1-x
+gam0140 gamma -63.349078729022985 -> 4.1777971677761880e-88
+gam0141 gamma -127.45117632943295 -> 1.1831110896236810e-214
+
+
+-----------------------------------------------------------
+-- log1p: log(1 + x), without precision loss for small x --
+-----------------------------------------------------------
+
+-- special values
+log1p0000 log1p 0.0 -> 0.0
+log1p0001 log1p -0.0 -> -0.0
+log1p0002 log1p inf -> inf
+log1p0003 log1p -inf -> nan             invalid
+log1p0004 log1p nan -> nan
+
+-- singularity at -1.0
+log1p0010 log1p -1.0 -> -inf            divide-by-zero
+log1p0011 log1p -0.9999999999999999 -> -36.736800569677101
+
+-- finite values < 1.0 are invalid
+log1p0020 log1p -1.0000000000000002 -> nan invalid
+log1p0021 log1p -1.1 -> nan invalid
+log1p0022 log1p -2.0 -> nan invalid
+log1p0023 log1p -1e300 -> nan invalid
+
+-- tiny x: log1p(x) ~ x
+log1p0110 log1p 5e-324 -> 5e-324
+log1p0111 log1p 1e-320 -> 1e-320
+log1p0112 log1p 1e-300 -> 1e-300
+log1p0113 log1p 1e-150 -> 1e-150
+log1p0114 log1p 1e-20 -> 1e-20
+
+log1p0120 log1p -5e-324 -> -5e-324
+log1p0121 log1p -1e-320 -> -1e-320
+log1p0122 log1p -1e-300 -> -1e-300
+log1p0123 log1p -1e-150 -> -1e-150
+log1p0124 log1p -1e-20 -> -1e-20
+
+-- some (mostly) random small and moderate-sized values
+log1p0200 log1p -0.89156889782277482 -> -2.2216403106762863
+log1p0201 log1p -0.23858496047770464 -> -0.27257668276980057
+log1p0202 log1p -0.011641726191307515 -> -0.011710021654495657
+log1p0203 log1p -0.0090126398571693817 -> -0.0090534993825007650
+log1p0204 log1p -0.00023442805985712781 -> -0.00023445554240995693
+log1p0205 log1p -1.5672870980936349e-5 -> -1.5672993801662046e-5
+log1p0206 log1p -7.9650013274825295e-6 -> -7.9650330482740401e-6
+log1p0207 log1p -2.5202948343227410e-7 -> -2.5202951519170971e-7
+log1p0208 log1p -8.2446372820745855e-11 -> -8.2446372824144559e-11
+log1p0209 log1p -8.1663670046490789e-12 -> -8.1663670046824230e-12
+log1p0210 log1p 7.0351735084656292e-18 -> 7.0351735084656292e-18
+log1p0211 log1p 5.2732161907375226e-12 -> 5.2732161907236188e-12
+log1p0212 log1p 1.0000000000000000e-10 -> 9.9999999995000007e-11
+log1p0213 log1p 2.1401273266000197e-9 -> 2.1401273243099470e-9
+log1p0214 log1p 1.2668914653979560e-8 -> 1.2668914573728861e-8
+log1p0215 log1p 1.6250007816299069e-6 -> 1.6249994613175672e-6
+log1p0216 log1p 8.3740495645839399e-6 -> 8.3740145024266269e-6
+log1p0217 log1p 3.0000000000000001e-5 -> 2.9999550008999799e-5
+log1p0218 log1p 0.0070000000000000001 -> 0.0069756137364252423
+log1p0219 log1p 0.013026235315053002 -> 0.012942123564008787
+log1p0220 log1p 0.013497160797236184 -> 0.013406885521915038
+log1p0221 log1p 0.027625599078135284 -> 0.027250897463483054
+log1p0222 log1p 0.14179687245544870 -> 0.13260322540908789
+
+-- large values
+log1p0300 log1p 1.7976931348623157e+308 -> 709.78271289338397
+log1p0301 log1p 1.0000000000000001e+300 -> 690.77552789821368
+log1p0302 log1p 1.0000000000000001e+70 -> 161.18095650958321
+log1p0303 log1p 10000000000.000000 -> 23.025850930040455
+
+-- other values transferred from testLog1p in test_math
+log1p0400 log1p -0.63212055882855767 -> -1.0000000000000000
+log1p0401 log1p 1.7182818284590451 -> 1.0000000000000000
+log1p0402 log1p 1.0000000000000000 -> 0.69314718055994529
+log1p0403 log1p 1.2379400392853803e+27 -> 62.383246250395075
+
+
+-----------------------------------------------------------
+-- expm1: exp(x) - 1, without precision loss for small x --
+-----------------------------------------------------------
+
+-- special values
+expm10000 expm1 0.0 -> 0.0
+expm10001 expm1 -0.0 -> -0.0
+expm10002 expm1 inf -> inf
+expm10003 expm1 -inf -> -1.0
+expm10004 expm1 nan -> nan
+
+-- expm1(x) ~ x for tiny x
+expm10010 expm1 5e-324 -> 5e-324
+expm10011 expm1 1e-320 -> 1e-320
+expm10012 expm1 1e-300 -> 1e-300
+expm10013 expm1 1e-150 -> 1e-150
+expm10014 expm1 1e-20 -> 1e-20
+
+expm10020 expm1 -5e-324 -> -5e-324
+expm10021 expm1 -1e-320 -> -1e-320
+expm10022 expm1 -1e-300 -> -1e-300
+expm10023 expm1 -1e-150 -> -1e-150
+expm10024 expm1 -1e-20 -> -1e-20
+
+-- moderate sized values, where direct evaluation runs into trouble
+expm10100 expm1 1e-10 -> 1.0000000000500000e-10
+expm10101 expm1 -9.9999999999999995e-08 -> -9.9999995000000163e-8
+expm10102 expm1 3.0000000000000001e-05 -> 3.0000450004500034e-5
+expm10103 expm1 -0.0070000000000000001 -> -0.0069755570667648951
+expm10104 expm1 -0.071499208740094633 -> -0.069002985744820250
+expm10105 expm1 -0.063296004180116799 -> -0.061334416373633009
+expm10106 expm1 0.02390954035597756 -> 0.024197665143819942
+expm10107 expm1 0.085637352649044901 -> 0.089411184580357767
+expm10108 expm1 0.5966174947411006 -> 0.81596588596501485
+expm10109 expm1 0.30247206212075139 -> 0.35319987035848677
+expm10110 expm1 0.74574727375889516 -> 1.1080161116737459
+expm10111 expm1 0.97767512926555711 -> 1.6582689207372185
+expm10112 expm1 0.8450154566787712 -> 1.3280137976535897
+expm10113 expm1 -0.13979260323125264 -> -0.13046144381396060
+expm10114 expm1 -0.52899322039643271 -> -0.41080213643695923
+expm10115 expm1 -0.74083261478900631 -> -0.52328317124797097
+expm10116 expm1 -0.93847766984546055 -> -0.60877704724085946
+expm10117 expm1 10.0 -> 22025.465794806718
+expm10118 expm1 27.0 -> 532048240600.79865
+expm10119 expm1 123 -> 2.6195173187490626e+53
+expm10120 expm1 -12.0 -> -0.99999385578764666
+expm10121 expm1 -35.100000000000001 -> -0.99999999999999944
+
+-- extreme negative values
+expm10201 expm1 -37.0 -> -0.99999999999999989
+expm10200 expm1 -38.0 -> -1.0
+expm10210 expm1 -710.0 -> -1.0
+-- the formula expm1(x) = 2 * sinh(x/2) * exp(x/2) doesn't work so
+-- well when exp(x/2) is subnormal or underflows to zero; check we're
+-- not using it!
+expm10211 expm1 -1420.0 -> -1.0
+expm10212 expm1 -1450.0 -> -1.0
+expm10213 expm1 -1500.0 -> -1.0
+expm10214 expm1 -1e50 -> -1.0
+expm10215 expm1 -1.79e308 -> -1.0
+
+-- extreme positive values
+expm10300 expm1 300 -> 1.9424263952412558e+130
+expm10301 expm1 700 -> 1.0142320547350045e+304
+-- the next test (expm10302) is disabled because it causes failure on
+-- OS X 10.4/Intel: apparently all values over 709.78 produce an
+-- overflow on that platform.  See issue #7575.
+-- expm10302 expm1 709.78271289328393 -> 1.7976931346824240e+308
+expm10303 expm1 709.78271289348402 -> inf overflow
+expm10304 expm1 1000 -> inf overflow
+expm10305 expm1 1e50 -> inf overflow
+expm10306 expm1 1.79e308 -> inf overflow
+
+-- weaker version of expm10302
+expm10307 expm1 709.5 -> 1.3549863193146328e+308
+
+-------------------------
+-- log2: log to base 2 --
+-------------------------
+
+-- special values
+log20000 log2 0.0 -> -inf               divide-by-zero
+log20001 log2 -0.0 -> -inf              divide-by-zero
+log20002 log2 inf -> inf
+log20003 log2 -inf -> nan               invalid
+log20004 log2 nan -> nan
+
+-- exact value at 1.0
+log20010 log2 1.0 -> 0.0
+
+-- negatives
+log20020 log2 -5e-324 -> nan            invalid
+log20021 log2 -1.0 -> nan               invalid
+log20022 log2 -1.7e-308 -> nan          invalid
+
+-- exact values at powers of 2
+log20100 log2 2.0 -> 1.0
+log20101 log2 4.0 -> 2.0
+log20102 log2 8.0 -> 3.0
+log20103 log2 16.0 -> 4.0
+log20104 log2 32.0 -> 5.0
+log20105 log2 64.0 -> 6.0
+log20106 log2 128.0 -> 7.0
+log20107 log2 256.0 -> 8.0
+log20108 log2 512.0 -> 9.0
+log20109 log2 1024.0 -> 10.0
+log20110 log2 2048.0 -> 11.0
+
+log20200 log2 0.5 -> -1.0
+log20201 log2 0.25 -> -2.0
+log20202 log2 0.125 -> -3.0
+log20203 log2 0.0625 -> -4.0
+
+-- values close to 1.0
+log20300 log2 1.0000000000000002 -> 3.2034265038149171e-16
+log20301 log2 1.0000000001 -> 1.4426951601859516e-10
+log20302 log2 1.00001 -> 1.4426878274712997e-5
+
+log20310 log2 0.9999999999999999 -> -1.6017132519074588e-16
+log20311 log2 0.9999999999 -> -1.4426951603302210e-10
+log20312 log2 0.99999 -> -1.4427022544056922e-5
+
+-- tiny values
+log20400 log2 5e-324 -> -1074.0
+log20401 log2 1e-323 -> -1073.0
+log20402 log2 1.5e-323 -> -1072.4150374992789
+log20403 log2 2e-323 -> -1072.0
+
+log20410 log2 1e-308 -> -1023.1538532253076
+log20411 log2 2.2250738585072014e-308 -> -1022.0
+log20412 log2 4.4501477170144028e-308 -> -1021.0
+log20413 log2 1e-307 -> -1019.8319251304202
+
+-- huge values
+log20500 log2 1.7976931348623157e+308 -> 1024.0
+log20501 log2 1.7e+308 -> 1023.9193879716706
+log20502 log2 8.9884656743115795e+307 -> 1023.0
+
+-- selection of random values
+log20600 log2 -7.2174324841039838e+289 -> nan   invalid
+log20601 log2 -2.861319734089617e+265 -> nan    invalid
+log20602 log2 -4.3507646894008962e+257 -> nan   invalid
+log20603 log2 -6.6717265307520224e+234 -> nan   invalid
+log20604 log2 -3.9118023786619294e+229 -> nan   invalid
+log20605 log2 -1.5478221302505161e+206 -> nan   invalid
+log20606 log2 -1.4380485131364602e+200 -> nan   invalid
+log20607 log2 -3.7235198730382645e+185 -> nan   invalid
+log20608 log2 -1.0472242235095724e+184 -> nan   invalid
+log20609 log2 -5.0141781956163884e+160 -> nan   invalid
+log20610 log2 -2.1157958031160324e+124 -> nan   invalid
+log20611 log2 -7.9677558612567718e+90 -> nan    invalid
+log20612 log2 -5.5553906194063732e+45 -> nan    invalid
+log20613 log2 -16573900952607.953 -> nan        invalid
+log20614 log2 -37198371019.888618 -> nan        invalid
+log20615 log2 -6.0727115121422674e-32 -> nan    invalid
+log20616 log2 -2.5406841656526057e-38 -> nan    invalid
+log20617 log2 -4.9056766703267657e-43 -> nan    invalid
+log20618 log2 -2.1646786075228305e-71 -> nan    invalid
+log20619 log2 -2.470826790488573e-78 -> nan     invalid
+log20620 log2 -3.8661709303489064e-165 -> nan   invalid
+log20621 log2 -1.0516496976649986e-182 -> nan   invalid
+log20622 log2 -1.5935458614317996e-255 -> nan   invalid
+log20623 log2 -2.8750977267336654e-293 -> nan   invalid
+log20624 log2 -7.6079466794732585e-296 -> nan   invalid
+log20625 log2 3.2073253539988545e-307 -> -1018.1505544209213
+log20626 log2 1.674937885472249e-244 -> -809.80634755783126
+log20627 log2 1.0911259044931283e-214 -> -710.76679472274213
+log20628 log2 2.0275372624809709e-154 -> -510.55719818383272
+log20629 log2 7.3926087369631841e-115 -> -379.13564735312292
+log20630 log2 1.3480198206342423e-86 -> -285.25497445094436
+log20631 log2 8.9927384655719947e-83 -> -272.55127136401637
+log20632 log2 3.1452398713597487e-60 -> -197.66251564496875
+log20633 log2 7.0706573215457351e-55 -> -179.88420087782217
+log20634 log2 3.1258285390731669e-49 -> -161.13023800505653
+log20635 log2 8.2253046627829942e-41 -> -133.15898277355879
+log20636 log2 7.8691367397519897e+49 -> 165.75068202732419
+log20637 log2 2.9920561983925013e+64 -> 214.18453534573757
+log20638 log2 4.7827254553946841e+77 -> 258.04629628445673
+log20639 log2 3.1903566496481868e+105 -> 350.47616767491166
+log20640 log2 5.6195082449502419e+113 -> 377.86831861008250
+log20641 log2 9.9625658250651047e+125 -> 418.55752921228753
+log20642 log2 2.7358945220961532e+145 -> 483.13158636923413
+log20643 log2 2.785842387926931e+174 -> 579.49360214860280
+log20644 log2 2.4169172507252751e+193 -> 642.40529039289652
+log20645 log2 3.1689091206395632e+205 -> 682.65924573798395
+log20646 log2 2.535995592365391e+208 -> 692.30359597460460
+log20647 log2 6.2011236566089916e+233 -> 776.64177576730913
+log20648 log2 2.1843274820677632e+253 -> 841.57499717289647
+log20649 log2 8.7493931063474791e+297 -> 989.74182713073981
\ No newline at end of file