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statistically more valid test

This commit is contained in:
Martin Diehl 2020-09-20 21:50:52 +02:00
parent 6ab88aad2b
commit d33507866d
1 changed files with 25 additions and 18 deletions
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43
python/tests/test_Rotation.py
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@ -907,32 +907,39 @@ class TestRotation:
@pytest.mark.parametrize('sigma',[5,10,15,20])
@pytest.mark.parametrize('N',[1000,10000,100000])
def test_spherical_component(self,N,sigma):
c = Rotation.from_random()
o = Rotation.from_spherical_component(c,sigma,N)
_, angles = c.misorientation(o).as_axis_angle(pair=True,degrees=True)
angles[::2] *= -1 # flip angle for every second to symmetrize distribution
p = []
for run in range(5):
c = Rotation.from_random()
o = Rotation.from_spherical_component(c,sigma,N)
_, angles = c.misorientation(o).as_axis_angle(pair=True,degrees=True)
angles[::2] *= -1 # flip angle for every second to symmetrize distribution
p.append(stats.normaltest(angles)[1])
p = stats.normaltest(angles)[1]
sigma_out = np.std(angles)
assert (.9 < sigma/sigma_out < 1.1) and p > 1e-4, f'{sigma/sigma_out},{p}'
p = np.average(p)
assert (.9 < sigma/sigma_out < 1.1) and p > 1e-2, f'{sigma/sigma_out},{p}'
@pytest.mark.parametrize('sigma',[5,10,15,20])
@pytest.mark.parametrize('N',[1000,10000,100000])
def test_from_fiber_component(self,N,sigma):
"""https://en.wikipedia.org/wiki/Full_width_at_half_maximum."""
alpha = np.random.random()*2*np.pi,np.arccos(np.random.random())
beta = np.random.random()*2*np.pi,np.arccos(np.random.random())
p = []
for run in range(5):
alpha = np.random.random()*2*np.pi,np.arccos(np.random.random())
beta = np.random.random()*2*np.pi,np.arccos(np.random.random())
f_in_C = np.array([np.sin(alpha[0])*np.cos(alpha[1]), np.sin(alpha[0])*np.sin(alpha[1]), np.cos(alpha[0])])
f_in_S = np.array([np.sin(beta[0] )*np.cos(beta[1] ), np.sin(beta[0] )*np.sin(beta[1] ), np.cos(beta[0] )])
ax = np.append(np.cross(f_in_C,f_in_S), - np.arccos(np.dot(f_in_C,f_in_S)))
n = Rotation.from_axis_angle(ax if ax[3] > 0.0 else ax*-1.0 ,normalize=True) # rotation to align fiber axis in crystal and sample system
f_in_C = np.array([np.sin(alpha[0])*np.cos(alpha[1]), np.sin(alpha[0])*np.sin(alpha[1]), np.cos(alpha[0])])
f_in_S = np.array([np.sin(beta[0] )*np.cos(beta[1] ), np.sin(beta[0] )*np.sin(beta[1] ), np.cos(beta[0] )])
ax = np.append(np.cross(f_in_C,f_in_S), - np.arccos(np.dot(f_in_C,f_in_S)))
n = Rotation.from_axis_angle(ax if ax[3] > 0.0 else ax*-1.0 ,normalize=True) # rotation to align fiber axis in crystal and sample system
o = Rotation.from_fiber_component(alpha,beta,np.radians(sigma),N,False)
angles = np.arccos(np.clip(np.dot(o@np.broadcast_to(f_in_S,(N,3)),n@f_in_S),-1,1))
dist = np.array(angles) * (np.random.randint(0,2,N)*2-1)
o = Rotation.from_fiber_component(alpha,beta,np.radians(sigma),N,False)
angles = np.arccos(np.clip(np.dot(o@np.broadcast_to(f_in_S,(N,3)),n@f_in_S),-1,1))
dist = np.array(angles) * (np.random.randint(0,2,N)*2-1)
p.append(stats.normaltest(dist)[1])
p = stats.normaltest(dist)[1]
sigma_out = np.degrees(np.std(dist))
assert (.9 < sigma/sigma_out < 1.1) and p > 1.e-4, f'{sigma/sigma_out},{p}'
p = np.average(p)
assert (.9 < sigma/sigma_out < 1.1) and p > 1e-2, f'{sigma/sigma_out},{p}'