def test_trig(self):
z = interval[-10,
10].newton(lambda x: imath.cospi(x / 3) - 0.5,
lambda x: -imath.pi * imath.sinpi(x / 3) / 3)
w = interval(-7, -5, -1, 1, 5, 7)
assert w in z
assert max(helpers.ulpwidth(z)) == 4
def test_width(self):
self.assertEqual(helpers.ulpwidth(interval[3]**-1), [1])
self.assertEqual(helpers.ulpwidth(interval([9007199254740991 * 2.0 ** -51, 4503599627370496 * 2.0 ** -50],
[9007199254740991 * 2.0 ** -49, 16],
[-16, -9007199254740991 * 2.0 ** -49],
)),[1, 1, 1])
self.assertEqual(helpers.ulpwidth(interval([5249383869325653 * 2.0 ** -51, 5249383869325655 * 2.0 ** -51])),[2])
self.assertEqual(helpers.ulpwidth(interval[123.34]), [0])
self.assertEqual(helpers.ulpwidth(interval[fpu.infinity]), [0])
self.assertEqual(helpers.ulpwidth(interval[2, fpu.infinity]), [fpu.infinity])
def test_width(self):
assert helpers.ulpwidth(interval[3] ** -1) == [1]
assert [1, 1, 1] == helpers.ulpwidth(interval(
[9007199254740991 * 2.0 ** -51, 4503599627370496 * 2.0 ** -50],
[9007199254740991 * 2.0 ** -49, 16],
[-16, -9007199254740991 * 2.0 ** -49]))
assert helpers.ulpwidth(interval([5249383869325653 * 2.0 ** -51, 5249383869325655 * 2.0 ** -51])) == [2]
assert helpers.ulpwidth(interval[123.34]) == [0]
assert helpers.ulpwidth(interval[fpu.infinity]) == [0]
assert helpers.ulpwidth(interval[2, fpu.infinity]) == [fpu.infinity]
def test_width(self):
assert helpers.ulpwidth(interval[3]**-1) == [1]
assert [1, 1, 1] == helpers.ulpwidth(
interval(
[9007199254740991 * 2.0**-51, 4503599627370496 * 2.0**-50],
[9007199254740991 * 2.0**-49, 16],
[-16, -9007199254740991 * 2.0**-49]))
assert helpers.ulpwidth(
interval(
[5249383869325653 * 2.0**-51,
5249383869325655 * 2.0**-51])) == [2]
assert helpers.ulpwidth(interval[123.34]) == [0]
assert helpers.ulpwidth(interval[fpu.infinity]) == [0]
assert helpers.ulpwidth(interval[2, fpu.infinity]) == [fpu.infinity]
def test_width(self):
self.assertEqual(helpers.ulpwidth(interval[3]**-1), [1])
self.assertEqual(
helpers.ulpwidth(
interval(
[9007199254740991 * 2.0**-51, 4503599627370496 * 2.0**-50],
[9007199254740991 * 2.0**-49, 16],
[-16, -9007199254740991 * 2.0**-49],
)), [1, 1, 1])
self.assertEqual(
helpers.ulpwidth(
interval(
[5249383869325653 * 2.0**-51,
5249383869325655 * 2.0**-51])), [2])
self.assertEqual(helpers.ulpwidth(interval[123.34]), [0])
self.assertEqual(helpers.ulpwidth(interval[fpu.infinity]), [0])
self.assertEqual(helpers.ulpwidth(interval[2, fpu.infinity]),
[fpu.infinity])
def test_trig(self):
z = interval[-10, 10].newton(lambda x: imath.cospi(x/3) - 0.5, lambda x: -imath.pi * imath.sinpi(x/3) / 3)
w = interval(-7, -5, -1, 1, 5, 7)
assert w in z
assert max(helpers.ulpwidth(z)) == 4
def assertApproximate(self, value, reference, maxdelta):
self.assertEqual(max(helpers.ulpwidth(value) or [0]), maxdelta)
self.assertTrue(value == reference or reference in value)
def within(x, y, d):
return y in x and all(c < d for c in helpers.ulpwidth(x))
def assertApproximate(self, value, reference, maxdelta):
assert max(helpers.ulpwidth(value) or [0]) == maxdelta
assert value == reference or reference in value
def assertApproximate(self, value, reference, maxdelta):
self.assertEqual(max(helpers.ulpwidth(value) or [0]), maxdelta)
self.assertTrue(value == reference or reference in value)
def within(x, y, d):
return y in x and all(c < d for c in helpers.ulpwidth(x))
def assertApproximate(self, value, reference, maxdelta):
assert max(helpers.ulpwidth(value) or [0]) == maxdelta
assert value == reference or reference in value
