def test_repeated_measurement(self):
"""test recording repeatedly measured values"""
a = q.Measurement([10, 9.8, 9.9, 10.1, 10.2])
assert isinstance(a, RepeatedlyMeasuredValue)
assert a.value == 10
assert a.error == pytest.approx(0.070710730438880)
assert a.std == pytest.approx(0.158114)
a.use_std_for_uncertainty()
assert a.error == pytest.approx(0.158114)
assert isinstance(a.raw_data, np.ndarray)
assert not isinstance(a.raw_data, ExperimentalValueArray)
b = q.Measurement([10, 9.8, 9.9, 10.1, 10.2],
[0.5, 0.3, 0.1, 0.2, 0.2])
assert isinstance(b, RepeatedlyMeasuredValue)
assert b.mean == 10
assert b.value == 10
assert b.error == pytest.approx(0.070710730438880)
assert isinstance(b.raw_data, ExperimentalValueArray)
assert all(b.raw_data == [10, 9.8, 9.9, 10.1, 10.2])
with pytest.raises(ValueError):
q.Measurement([10, 9.8, 9.9, 10.1, 10.2], [0.5, 0.3, 0.1, 0.2])
def test_record_measurement_array(self):
"""tests for recording a measurement array in different ways"""
a = q.MeasurementArray([1, 2, 3, 4, 5])
assert isinstance(a, ExperimentalValueArray)
assert all(a.values == [1, 2, 3, 4, 5])
assert all(a.errors == [0, 0, 0, 0, 0])
assert str(a) == "[ 1 +/- 0, 2 +/- 0, 3 +/- 0, 4 +/- 0, 5 +/- 0 ]"
with pytest.raises(TypeError):
q.MeasurementArray(1)
b = q.MeasurementArray([1, 2, 3, 4, 5], 0.5)
assert all(b.errors == [0.5, 0.5, 0.5, 0.5, 0.5])
c = q.MeasurementArray([1, 2, 3, 4, 5], relative_error=0.1)
assert c.errors == pytest.approx([0.1, 0.2, 0.3, 0.4, 0.5])
d = q.MeasurementArray([1, 2, 3, 4, 5], [0.1, 0.2, 0.3, 0.4, 0.5])
assert all(d.errors == [0.1, 0.2, 0.3, 0.4, 0.5])
e = q.MeasurementArray([1, 2, 3, 4, 5],
relative_error=[0.1, 0.2, 0.3, 0.4, 0.5])
assert e.errors == pytest.approx([0.1, 0.4, 0.9, 1.6, 2.5])
with pytest.raises(ValueError):
q.MeasurementArray([1, 2, 3, 4, 5], [0.1, 0.2, 0.3, 0.4])
with pytest.raises(ValueError):
q.MeasurementArray([1, 2, 3, 4, 5],
relative_error=[0.1, 0.2, 0.3, 0.4])
with pytest.raises(TypeError):
q.MeasurementArray([1, 2, 3, 4, 5], '1')
with pytest.raises(TypeError):
q.MeasurementArray([1, 2, 3, 4, 5], [0.1, 0.2, 0.3, 0.4, '0.5'])
with pytest.raises(TypeError):
q.MeasurementArray([1, 2, 3, 4, '5'])
with pytest.raises(ValueError):
q.MeasurementArray([1, 2, 3, 4, 5], -0.5)
with pytest.raises(ValueError):
q.MeasurementArray([1, 2, 3, 4, 5], [0.5, 0.5, 0.5, 0.5, -0.5])
f = q.MeasurementArray(data=[1, 2, 3, 4],
error=0.5,
name="test",
unit="m")
assert f.name == "test"
assert f.unit == "m"
assert str(
f
) == "test = [ 1.0 +/- 0.5, 2.0 +/- 0.5, 3.0 +/- 0.5, 4.0 +/- 0.5 ] (m)"
assert str(f[0]) == "test_0 = 1.0 +/- 0.5 [m]"
assert str(f[-1]) == "test_3 = 4.0 +/- 0.5 [m]"
g = q.MeasurementArray([q.Measurement(5, 0.5),
q.Measurement(10, 0.5)],
name="test",
unit="m")
assert str(g[-1]) == "test_1 = 10.0 +/- 0.5 [m]"
h = q.MeasurementArray([q.Measurement(5, 0.5),
q.Measurement(10, 0.5)],
error=0.1)
assert str(h[-1]) == "10.0 +/- 0.1"
def test_trig_functions(self):
"""tests for trigonometric functions"""
a = q.Measurement(0.7853981633974483)
b = q.Measurement(45)
c = q.Measurement(0.5)
res = q.sin(a)
assert res.value == pytest.approx(0.7071067811865475244)
res = q.sind(b)
assert res.value == pytest.approx(0.7071067811865475244)
res = q.cos(a)
assert res.value == pytest.approx(0.7071067811865475244)
res = q.cosd(b)
assert res.value == pytest.approx(0.7071067811865475244)
res = q.tan(a)
assert res.value == pytest.approx(1)
res = q.tand(b)
assert res.value == pytest.approx(1)
res = q.sec(a)
assert res.value == pytest.approx(1.4142135623730950488)
res = q.secd(b)
assert res.value == pytest.approx(1.4142135623730950488)
res = q.csc(a)
assert res.value == pytest.approx(1.4142135623730950488)
res = q.cscd(b)
assert res.value == pytest.approx(1.4142135623730950488)
res = q.cot(a)
assert res.value == pytest.approx(1)
res = q.cotd(b)
assert res.value == pytest.approx(1)
res = q.asin(c)
assert res.value == pytest.approx(0.523598775598298873077)
res = q.acos(c)
assert res.value == pytest.approx(1.047197551196597746154)
res = q.atan(c)
assert res.value == pytest.approx(0.463647609000806116214)
def test_value_comparison(self):
"""tests for comparing values"""
a = q.Measurement(4, 0.5, unit="m")
b = q.Measurement(10, 2, unit="m")
c = q.Measurement(10, 1)
assert a < b
assert a <= b
assert b >= a
assert a > 2
assert 3 < b
assert a == 4
assert 10 == b
assert b == c
def test_equivalent_units(self):
"""tests for pre-defined compound units"""
units.define_unit('N', 'kg*m/s^2')
units.define_unit('J', 'N*m')
a = q.Measurement(5, unit='N')
b = q.Measurement(2, unit='J')
c = q.Measurement(2, unit='m')
res = a * b / c
assert res.unit == 'N^2'
res = a / c
q.set_unit_style(q.UnitStyle.FRACTION)
assert res.unit == 'kg/s^2'
def test_repeated_measurement_setters(self):
"""test that the setters for repeated measurements behave correctly"""
a = q.Measurement([10, 9.8, 9.9, 10.1, 10.2],
[0.5, 0.3, 0.1, 0.2, 0.2])
assert isinstance(a, RepeatedlyMeasuredValue)
a.use_error_weighted_mean_as_value()
assert a.error_weighted_mean == 9.971399730820997
assert a.value == 9.971399730820997
a.use_error_on_mean_for_uncertainty()
assert a.error_on_mean == pytest.approx(0.070710678118654)
assert a.error == pytest.approx(0.070710678118654)
a.use_propagated_error_for_uncertainty()
assert a.propagated_error == 0.0778236955614928
assert a.error == 0.0778236955614928
with pytest.raises(TypeError):
a.value = '15'
with pytest.warns(UserWarning):
a.value = 15
assert not isinstance(a, RepeatedlyMeasuredValue)
assert isinstance(a, MeasuredValue)
assert a.value == 15
def test_math_functions(self):
"""tests for math functions on single values"""
a = q.Measurement(4, 0.5, unit="m")
res = q.sqrt(a)
assert res.value == 2
assert res.error == 0.125
assert res.unit == "m^(1/2)"
assert q.sqrt(4) == 2
with pytest.raises(UndefinedOperationError):
q.sqrt("a")
res = q.exp(a)
assert res.value == pytest.approx(54.598150033144239)
assert res.error == pytest.approx(27.299075016572120)
res = q.log(a)
assert res.value == pytest.approx(1.3862943611198906)
assert res.error == 0.125
res = q.log(2, a)
assert res.value == 2
assert res.error == pytest.approx(0.1803368801111204)
res = q.log10(a)
assert res.value == pytest.approx(0.6020599913279624)
assert res.error == pytest.approx(0.0542868102379065)
with pytest.raises(TypeError):
q.log(2, a, 2)
def test_composite_operations(self):
"""tests combining several operations"""
d = q.Measurement(5, 0.1, unit="m")
m = q.Measurement(10, 0.5, unit="kg")
t = q.Measurement(2, 0.1, unit="s")
v = d / t
e = 1 / 2 * m * (v**2)
assert e.value == 31.25
assert e.error == pytest.approx(3.7107319021993495716)
assert e.unit == "kg⋅m^2⋅s^-2"
res = (d**2)**(1 / 3)
assert res.unit == "m^(2/3)"
def test_correlation_for_repeated_measurements(self):
"""test covariance and correlation settings between repeated measurements"""
a = q.Measurement([0.8, 0.9, 1, 1.1])
b = q.Measurement([2, 2.2, 2.1, 2.3])
assert q.get_correlation(a, b) == 0
assert q.get_covariance(a, b) == 0
q.set_correlation(a, b)
assert q.get_correlation(a, b) == pytest.approx(0.8)
assert q.get_covariance(a, b) == pytest.approx(0.01333333333)
q.set_correlation(a, b, 0)
assert q.get_correlation(a, b) == 0
assert q.get_covariance(a, b) == 0
a.set_covariance(b)
assert q.get_correlation(a, b) == pytest.approx(0.8)
assert q.get_covariance(a, b) == pytest.approx(0.01333333333)
q.set_covariance(a, b, 0)
assert q.get_correlation(a, b) == 0
assert q.get_covariance(a, b) == 0
d = a + b
with pytest.raises(IllegalArgumentError):
a.get_covariance(0)
with pytest.raises(IllegalArgumentError):
a.get_correlation(0)
with pytest.raises(IllegalArgumentError):
a.set_covariance(0, 0)
with pytest.raises(IllegalArgumentError):
a.set_correlation(0, 0)
with pytest.raises(IllegalArgumentError):
a.set_covariance(d, 0)
with pytest.raises(IllegalArgumentError):
a.set_correlation(d, 0)
c = q.Measurement([0, 1, 2])
with pytest.raises(IllegalArgumentError):
q.set_covariance(a, c)
with pytest.raises(IllegalArgumentError):
q.set_correlation(a, c)
def test_correlation_for_single_measurements(self):
"""test covariance and correlation between single measurements"""
a = q.Measurement(5, 0.5)
b = q.Measurement(6, 0.2)
c = q.Measurement(5)
d = a + b
assert a.get_covariance(a) == 0.25
assert a.get_correlation(a) == 1
assert a.get_covariance(c) == 0
assert a.get_correlation(c) == 0
assert d.get_covariance(a) == 0
assert d.get_correlation(a) == 0
assert a.get_covariance(d) == 0
assert a.get_correlation(d) == 0
assert q.get_covariance(a, d) == 0
assert q.get_correlation(a, d) == 0
def test_illegal_correlation_settings(self):
"""test illegal correlation and covariance settings"""
a = q.Measurement(5, 0.5)
b = q.Measurement(6, 0.2)
c = q.Measurement(5)
d = a + b
with pytest.raises(IllegalArgumentError):
q.set_correlation(a, 0, 0)
with pytest.raises(IllegalArgumentError):
q.set_covariance(a, 0, 0)
with pytest.raises(IllegalArgumentError):
a.set_correlation(0, 0)
with pytest.raises(IllegalArgumentError):
a.set_covariance(0, 0)
with pytest.raises(UndefinedActionError):
d.set_correlation(a, 0)
with pytest.raises(UndefinedActionError):
d.set_covariance(a, 0)
with pytest.raises(IllegalArgumentError):
a.set_covariance(d, 0)
with pytest.raises(IllegalArgumentError):
a.set_correlation(d, 0)
with pytest.raises(ArithmeticError):
a.set_covariance(c, 1)
with pytest.raises(ArithmeticError):
a.set_correlation(c, 1)
with pytest.raises(IllegalArgumentError):
a.get_correlation(0)
with pytest.raises(IllegalArgumentError):
a.get_covariance(0)
with pytest.raises(IllegalArgumentError):
q.get_correlation(a, 0)
with pytest.raises(IllegalArgumentError):
q.get_covariance(a, 0)
with pytest.raises(ValueError):
q.set_covariance(a, b, 100)
with pytest.raises(ValueError):
q.set_correlation(a, b, 2)
def test_manipulate_measurement_array(self):
"""tests for manipulating a measurement array"""
a = q.MeasurementArray([1, 2, 3, 4], 0.5, name="test", unit="m")
a = a.append(q.Measurement(5, 0.5))
assert str(a[-1]) == "test_4 = 5.0 +/- 0.5 [m]"
a = a.insert(1, (1.5, 0.5))
assert str(a[1]) == "test_1 = 1.5 +/- 0.5 [m]"
assert str(a[-1]) == "test_5 = 5.0 +/- 0.5 [m]"
a = a.delete(1)
assert str(a[1]) == "test_1 = 2.0 +/- 0.5 [m]"
with pytest.raises(TypeError):
a.name = 1
with pytest.raises(TypeError) as e:
a.unit = 1
assert str(e.value) == "Cannot set unit to \"int\"!"
a.name = "speed"
a.unit = "m/s"
assert a.name == "speed"
assert a.unit == "m⋅s^-1"
assert str(a[4]) == "speed_4 = 5.0 +/- 0.5 [m⋅s^-1]"
a = a.append(6)
assert str(a[5]) == "speed_5 = 6 +/- 0 [m⋅s^-1]"
a[3] = 10
assert str(a[3]) == "speed_3 = 10.0 +/- 0.5 [m⋅s^-1]"
a[4] = (10, 0.6)
assert str(a[4]) == "speed_4 = 10.0 +/- 0.6 [m⋅s^-1]"
with pytest.raises(TypeError):
a[2] = 'a'
b = q.MeasurementArray([5, 6, 7], 0.5)
b[-1] = (8, 0.5)
a = a.append(b)
assert str(a[-1]) == "speed_8 = 8.0 +/- 0.5 [m⋅s^-1]"
a = a.append([8, 9, 10])
assert str(a[-1]) == "speed_11 = 10 +/- 0 [m⋅s^-1]"
def test_measurement(self):
"""tests for single measurements"""
a = q.Measurement(5)
assert a.value == 5
assert a.error == 0
assert str(a) == "5 +/- 0"
assert repr(a) == "MeasuredValue(5 +/- 0)"
b = q.Measurement(5, 0.5)
assert b.value == 5
assert b.error == 0.5
assert b.relative_error == 0.1
assert b.std == 0.5
assert str(b) == "5.0 +/- 0.5"
assert repr(b) == "MeasuredValue(5.0 +/- 0.5)"
c = q.Measurement(12.34, 0.05, name="energy", unit="kg*m^2*s^-2")
assert str(c) == "energy = 12.34 +/- 0.05 [kg⋅m^2⋅s^-2]"
q.set_sig_figs_for_error(2)
assert str(c) == "energy = 12.340 +/- 0.050 [kg⋅m^2⋅s^-2]"
q.set_sig_figs_for_value(4)
assert str(c) == "energy = 12.34 +/- 0.05 [kg⋅m^2⋅s^-2]"
q.set_unit_style(q.UnitStyle.FRACTION)
assert str(c) == "energy = 12.34 +/- 0.05 [kg⋅m^2/s^2]"
assert c.derivative(c) == 1
assert c.derivative(b) == 0
with pytest.raises(IllegalArgumentError):
c.derivative(1)
with pytest.raises(IllegalArgumentError):
q.Measurement('12.34')
with pytest.raises(IllegalArgumentError):
q.Measurement(12.34, '0.05')
with pytest.raises(TypeError):
q.Measurement(5, unit=1)
with pytest.raises(TypeError):
q.Measurement(5, name=1)
def test_measurement_setters(self):
"""tests for changing values in a measured value"""
a = q.Measurement(12.34, 0.05)
a.value = 50
assert a.value == 50
a.error = 0.02
assert a.error == 0.02
a.relative_error = 0.05
assert a.relative_error == 0.05
assert a.error == 2.5
a.name = "energy"
assert a.name == "energy"
a.unit = "kg*m^2/s^2"
assert a.unit == "kg⋅m^2⋅s^-2"
with pytest.raises(TypeError):
a.value = '1'
with pytest.raises(TypeError):
a.error = '1'
with pytest.raises(ValueError):
a.error = -1
with pytest.raises(TypeError):
a.relative_error = '1'
with pytest.raises(ValueError):
a.relative_error = -1
with pytest.raises(TypeError):
a.name = 1
with pytest.raises(TypeError):
a.unit = 1
def test_elementary_operations(self):
"""tests for elementary arithmetic operations"""
a = q.Measurement(4, 0.5, unit="m")
b = q.Measurement(10, 2, unit="m")
c = a + b
assert c.value == 14
assert c.error == pytest.approx(2.0615528128088303)
assert str(c) == "14 +/- 2 [m]"
c2 = a + 2
assert c2.value == 6
assert c2.error == 0.5
assert str(c2) == "6.0 +/- 0.5 [m]"
c3 = 5 + a
assert c3.value == 9
assert c3.error == 0.5
c4 = a + (10, 2)
assert c4.value == 14
assert c4.error == pytest.approx(2.0615528128088303)
assert str(c4) == "14 +/- 2"
c5 = -a
assert str(c5) == "-4.0 +/- 0.5 [m]"
h = b - a
assert h.value == 6
assert h.error == pytest.approx(2.0615528128088303)
assert str(h) == "6 +/- 2 [m]"
h1 = a - 2
assert h1.value == 2
assert h1.error == 0.5
assert str(h1) == "2.0 +/- 0.5 [m]"
h2 = 5 - a
assert h2.value == 1
assert h2.error == 0.5
f = q.Measurement(4, 0.5, unit="kg*m/s^2")
d = q.Measurement(10, 2, unit="m")
e = f * d
assert e.value == 40
assert e.error == pytest.approx(9.433981132056603)
assert str(e) == "40 +/- 9 [kg⋅m^2⋅s^-2]"
e1 = f * 2
assert e1.value == 8
assert str(e1) == "8 +/- 1 [kg⋅m⋅s^-2]"
e2 = 2 * f
assert e2.value == 8
s = q.Measurement(10, 2, unit="m")
t = q.Measurement(4, 0.5, unit="s")
v = s / t
assert v.value == 2.5
assert v.error == pytest.approx(0.5896238207535377)
assert str(v) == "2.5 +/- 0.6 [m⋅s^-1]"
v1 = 20 / s
assert v1.value == 2
assert str(v1) == "2.0 +/- 0.4 [m^-1]"
v2 = s / 2
assert v2.value == 5
with pytest.raises(UndefinedOperationError):
s + 'a'
k = q.Measurement(5, 0.5, unit="m")
m = k**2
assert str(m) == "25 +/- 5 [m^2]"
n = 2**k
assert n.value == 32
assert n.error == pytest.approx(11.09035488895912495)
assert str(n) == "30 +/- 10"
def test_vectorized_arithmetic(self):
"""tests for arithmetic with experimental value arrays"""
a = q.MeasurementArray([1, 2, 3, 4, 5], 0.5, unit="s")
res = a + 2
assert all(res.values == [3, 4, 5, 6, 7])
assert all(res.errors == [0.5, 0.5, 0.5, 0.5, 0.5])
assert res.unit == "s"
res = 2 + a
assert all(res.values == [3, 4, 5, 6, 7])
assert all(res.errors == [0.5, 0.5, 0.5, 0.5, 0.5])
assert res.unit == "s"
res = a + (2, 0.5)
assert all(res.values == [3, 4, 5, 6, 7])
res = (2, 0.5) + a
assert all(res.values == [3, 4, 5, 6, 7])
res = q.Measurement(2, 0.5) + a
assert all(res.values == [3, 4, 5, 6, 7])
res = a + [1, 2, 3, 4, 5]
assert all(res.values == [2, 4, 6, 8, 10])
res = [1, 2, 3, 4, 5] + a
assert all(res.values == [2, 4, 6, 8, 10])
res = a - 1
assert all(res.values == [0, 1, 2, 3, 4])
res = 10 - a
assert all(res.values == [9, 8, 7, 6, 5])
res = q.Measurement(10, 0.5) - a
assert all(res.values == [9, 8, 7, 6, 5])
res = a - [1, 2, 3, 4, 5]
assert all(res.values == [0, 0, 0, 0, 0])
res = [1, 2, 3, 4, 5] - a
assert all(res.values == [0, 0, 0, 0, 0])
res = a * 2
assert all(res.values == [2, 4, 6, 8, 10])
res = 2 * a
assert all(res.values == [2, 4, 6, 8, 10])
res = q.Measurement(2, 0.5) * a
assert all(res.values == [2, 4, 6, 8, 10])
b = q.MeasurementArray([10, 20, 30, 40, 50], 0.5, unit="m")
res = b * a
assert all(res.values == [10, 40, 90, 160, 250])
assert res.unit == "m⋅s"
res = [1, 2, 3, 4, 5] * a
assert all(res.values == [1, 4, 9, 16, 25])
res = a / 2
assert all(res.values == [0.5, 1, 1.5, 2, 2.5])
res = 2 / a
assert all(res.values == [2, 1, 2 / 3, 2 / 4, 2 / 5])
res = q.Measurement(2, 0.5) / a
assert all(res.values == [2, 1, 2 / 3, 2 / 4, 2 / 5])
res = b / a
assert all(res.values == [10, 10, 10, 10, 10])
assert res.unit == "m⋅s^-1"
res = [1, 2, 3, 4, 5] / a
assert all(res.values == [1, 1, 1, 1, 1])
res = a**2
assert all(res.values == [1, 4, 9, 16, 25])
res = 2**a
assert all(res.values == [2, 4, 8, 16, 32])
res = q.Measurement(2, 0.5)**a
assert all(res.values == [2, 4, 8, 16, 32])
res = a**[2, 2, 2, 2, 2]
assert all(res.values == [1, 4, 9, 16, 25])
assert res.unit == "s^2"
res = [2, 2, 2, 2, 2]**a
assert all(res.values == [2, 4, 8, 16, 32])