use physical/ISO convention
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@ -1137,14 +1137,15 @@ class Rotation:
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Examples
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--------
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tbd
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"""
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rng = np.random.default_rng(rng_seed)
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sigma_,alpha,beta = (np.radians(coordinate) for coordinate in (sigma,crystal,sample)) if degrees else \
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map(np.array, (sigma,crystal,sample))
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d_cr = np.array([np.sin(alpha[1])*np.cos(alpha[0]), np.sin(alpha[1])*np.sin(alpha[0]), np.cos(alpha[1])])
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d_lab = np.array([np.sin( beta[1])*np.cos( beta[0]), np.sin( beta[1])*np.sin( beta[0]), np.cos( beta[1])])
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d_cr = np.array([np.sin(alpha[0])*np.cos(alpha[1]), np.sin(alpha[0])*np.sin(alpha[1]), np.cos(alpha[0])])
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d_lab = np.array([np.sin( beta[0])*np.cos( beta[1]), np.sin( beta[0])*np.sin( beta[1]), np.cos( beta[0])])
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ax_align = np.append(np.cross(d_lab,d_cr), np.arccos(np.dot(d_lab,d_cr)))
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if np.isclose(ax_align[3],0.0): ax_align[:3] = np.array([1,0,0])
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R_align = Rotation.from_axis_angle(ax_align if ax_align[3] > 0.0 else -ax_align,normalize=True) # rotate fiber axis from sample to crystal frame
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@ -1077,11 +1077,11 @@ class TestRotation:
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def test_from_fiber_component(self,sigma,shape):
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p = []
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for run in range(5):
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alpha = np.random.random()*2*np.pi,np.arccos(np.random.random())
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beta = np.random.random()*2*np.pi,np.arccos(np.random.random())
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alpha = np.arccos(np.random.random()),np.random.random()*2*np.pi
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beta = np.arccos(np.random.random()),np.random.random()*2*np.pi
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f_in_C = np.array([np.sin(alpha[1])*np.cos(alpha[0]), np.sin(alpha[1])*np.sin(alpha[0]), np.cos(alpha[1])])
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f_in_S = np.array([np.sin(beta[1] )*np.cos(beta[0] ), np.sin(beta[1] )*np.sin(beta[0] ), np.cos(beta[1] )])
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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])])
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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])])
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ax = np.append(np.cross(f_in_C,f_in_S), - np.arccos(np.dot(f_in_C,f_in_S)))
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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
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