def test_derivative(self):
'''Tests derivative of functions of Measurement objects
'''
x = e.Measurement(3, 0.4)
y = e.Measurement(12, 1)
self.assertEqual((x+y).get_derivative(y), 1)
self.assertEqual((x-y).get_derivative(x), 1)
self.assertEqual((x*y).get_derivative(y), x.mean)
self.assertEqual((x/y).get_derivative(x), 1/y.mean)
self.assertEqual((x**y).get_derivative(x), y.mean*x.mean**(y.mean-1))
self.assertEqual(e.sin(x).get_derivative(x), m.cos(x.mean))
self.assertEqual(e.cos(x).get_derivative(x), -m.sin(x.mean))
self.assertEqual(e.tan(x).get_derivative(x), m.cos(x.mean)**-2)
self.assertEqual(e.exp(x).get_derivative(x), m.exp(x.mean))
def test4():
'''Test of derivative method.
'''
x = e.Measurement(3, 0.4)
y = e.Measurement(12, 1)
assert (x+y).get_derivative(y) == 1
assert (x-y).get_derivative(x) == 1
assert (x*y).get_derivative(y) == x.mean
assert (x/y).get_derivative(x) == 1/y.mean
assert (x**y).get_derivative(x) == y.mean*x.mean**(y.mean-1)
assert e.sin(x).get_derivative(x) == m.cos(x.mean)
assert e.cos(x).get_derivative(x) == -m.sin(x.mean)
assert e.tan(x).get_derivative(x) == m.cos(x.mean)**-2
assert e.exp(x).get_derivative(x) == m.exp(x.mean)
def test_derivative(self):
'''Tests derivative of functions of Measurement objects
'''
x = e.Measurement(3, 0.4)
y = e.Measurement(12, 1)
self.assertEqual((x + y).get_derivative(y), 1)
self.assertEqual((x - y).get_derivative(x), 1)
self.assertEqual((x * y).get_derivative(y), x.mean)
self.assertEqual((x / y).get_derivative(x), 1 / y.mean)
self.assertEqual((x**y).get_derivative(x),
y.mean * x.mean**(y.mean - 1))
self.assertEqual(e.sin(x).get_derivative(x), m.cos(x.mean))
self.assertEqual(e.cos(x).get_derivative(x), -m.sin(x.mean))
self.assertEqual(e.tan(x).get_derivative(x), m.cos(x.mean)**-2)
self.assertEqual(e.exp(x).get_derivative(x), m.exp(x.mean))
def test_array_functions(self):
'''Tests mathematical functions on Measurement objects
'''
x = e.MeasurementArray([4, 9, 2], error = [0.1, 0.2, 0.3])
y = e.MeasurementArray([0.3, 0.56, 0.2], error = 0.01)
self.assertEqual(e.sin(x).means.tolist(), np.sin(x.means).tolist())
self.assertEqual(e.cos(x).means.tolist(), np.cos(x.means).tolist())
self.assertEqual(e.tan(x).means.tolist(), np.tan(x.means).tolist())
self.assertEqual(e.csc(x).means.tolist(), (1/np.sin(x.means)).tolist())
self.assertEqual(e.sec(x).means.tolist(), (1/np.cos(x.means)).tolist())
self.assertEqual(e.cot(x).means.tolist(), (1/np.tan(x.means)).tolist())
self.assertEqual(e.exp(x).means.tolist(), np.exp(x.means).tolist())
self.assertEqual(e.log(x).means.tolist(), np.log(x.means).tolist())
self.assertEqual(e.asin(y).means.tolist(), np.arcsin(y.means).tolist())
self.assertEqual(e.acos(y).means.tolist(), np.arccos(y.means).tolist())
self.assertEqual(e.atan(x).means.tolist(), np.arctan(x.means).tolist())
def test_measurement_functions(self):
'''Tests mathematical functions on Measurement objects
'''
x = e.Measurement(3.2, 0.01)
y = e.Measurement(0.23, 0.04)
self.assertEqual(e.sin(x), m.sin(x.mean))
self.assertEqual(e.cos(x), m.cos(x.mean))
self.assertEqual(e.tan(x), m.tan(x.mean))
self.assertEqual(e.csc(x), 1/m.sin(x.mean))
self.assertEqual(e.sec(x), 1/m.cos(x.mean))
self.assertEqual(e.cot(x), 1/m.tan(x.mean))
self.assertEqual(e.exp(x), m.exp(x.mean))
self.assertEqual(e.log(x), m.log(x.mean))
self.assertEqual(e.asin(y), m.asin(y.mean))
self.assertEqual(e.acos(y), m.acos(y.mean))
self.assertEqual(e.atan(x), m.atan(x.mean))
def test_measurement_functions(self):
'''Tests mathematical functions on Measurement objects
'''
x = e.Measurement(3.2, 0.01)
y = e.Measurement(0.23, 0.04)
self.assertEqual(e.sin(x), m.sin(x.mean))
self.assertEqual(e.cos(x), m.cos(x.mean))
self.assertEqual(e.tan(x), m.tan(x.mean))
self.assertEqual(e.csc(x), 1 / m.sin(x.mean))
self.assertEqual(e.sec(x), 1 / m.cos(x.mean))
self.assertEqual(e.cot(x), 1 / m.tan(x.mean))
self.assertEqual(e.exp(x), m.exp(x.mean))
self.assertEqual(e.log(x), m.log(x.mean))
self.assertEqual(e.asin(y), m.asin(y.mean))
self.assertEqual(e.acos(y), m.acos(y.mean))
self.assertEqual(e.atan(x), m.atan(x.mean))
def test2():
'''Test of elementary functions.
'''
x = e.Measurement(10, 1)
y = e.Measurement(0, 0.1)
assert e.sin(x) == m.sin(x.mean)
assert e.cos(x) == m.cos(x.mean)
assert e.tan(x) == m.tan(x.mean)
assert e.csc(x) == 1/m.sin(x.mean)
assert e.sec(x) == 1/m.cos(x.mean)
assert e.cot(x) == 1/m.tan(x.mean)
assert e.exp(x) == m.exp(x.mean)
assert e.log(x) == m.log(x.mean)
assert e.asin(y) == m.asin(y.mean)
assert e.acos(y) == m.acos(y.mean)
assert e.atan(x) == m.atan(x.mean)
def test_array_functions(self):
'''Tests mathematical functions on Measurement objects
'''
x = e.MeasurementArray([4, 9, 2], error=[0.1, 0.2, 0.3])
y = e.MeasurementArray([0.3, 0.56, 0.2], error=0.01)
self.assertEqual(e.sin(x).means.tolist(), np.sin(x.means).tolist())
self.assertEqual(e.cos(x).means.tolist(), np.cos(x.means).tolist())
self.assertEqual(e.tan(x).means.tolist(), np.tan(x.means).tolist())
self.assertEqual(
e.csc(x).means.tolist(), (1 / np.sin(x.means)).tolist())
self.assertEqual(
e.sec(x).means.tolist(), (1 / np.cos(x.means)).tolist())
self.assertEqual(
e.cot(x).means.tolist(), (1 / np.tan(x.means)).tolist())
self.assertEqual(e.exp(x).means.tolist(), np.exp(x.means).tolist())
self.assertEqual(e.log(x).means.tolist(), np.log(x.means).tolist())
self.assertEqual(e.asin(y).means.tolist(), np.arcsin(y.means).tolist())
self.assertEqual(e.acos(y).means.tolist(), np.arccos(y.means).tolist())
self.assertEqual(e.atan(x).means.tolist(), np.arctan(x.means).tolist())