better group if/if-elif cases
one line if only when no elif follows to avoid confusion
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@ -767,10 +767,8 @@ class Rotation:
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"""
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qu = np.array(q,dtype=float)
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if qu.shape[:-2:-1] != (4,):
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raise ValueError('invalid shape')
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if abs(P) != 1:
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raise ValueError('P ∉ {-1,1}')
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if qu.shape[:-2:-1] != (4,): raise ValueError('invalid shape')
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if abs(P) != 1: raise ValueError('P ∉ {-1,1}')
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qu[...,1:4] *= -P
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@ -778,6 +776,7 @@ class Rotation:
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qu[qu[...,0] < 0.0] *= -1
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elif np.any(qu[...,0] < 0.0):
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raise ValueError('quaternion with negative first (real) component')
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if not np.allclose(np.linalg.norm(qu,axis=-1), 1.0,rtol=1e-8):
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raise ValueError('quaternion is not of unit length')
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@ -803,11 +802,10 @@ class Rotation:
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"""
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eu = np.array(phi,dtype=float)
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if eu.shape[:-2:-1] != (3,):
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raise ValueError('invalid shape')
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if eu.shape[:-2:-1] != (3,): raise ValueError('invalid shape')
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eu = np.radians(eu) if degrees else eu
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if np.any(eu < 0.0) or np.any(eu > np.pi*np.array([2,1,2])):
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if np.any(eu < 0.0) or np.any(eu > np.pi*np.array([2.0,1.0,2.0])):
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raise ValueError('Euler angles outside of [0..2π],[0..π],[0..2π]')
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return Rotation(Rotation._eu2qu(eu))
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@ -834,16 +832,16 @@ class Rotation:
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"""
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ax = np.array(axis_angle,dtype=float)
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if ax.shape[:-2:-1] != (4,):
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raise ValueError('invalid shape')
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if abs(P) != 1:
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raise ValueError('P ∉ {-1,1}')
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if ax.shape[:-2:-1] != (4,): raise ValueError('invalid shape')
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if abs(P) != 1: raise ValueError('P ∉ {-1,1}')
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ax[...,0:3] *= -P
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if degrees: ax[..., 3] = np.radians(ax[...,3])
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if np.any(ax[...,3] < 0.0) or np.any(ax[...,3] > np.pi):
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raise ValueError('axis–angle rotation angle outside of [0..π]')
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if normalize: ax[...,0:3] /= np.linalg.norm(ax[...,0:3],axis=-1,keepdims=True)
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if normalize:
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ax[...,0:3] /= np.linalg.norm(ax[...,0:3],axis=-1,keepdims=True)
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elif not np.allclose(np.linalg.norm(ax[...,0:3],axis=-1), 1.0):
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raise ValueError('axis–angle rotation axis is not of unit length')
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@ -867,12 +865,12 @@ class Rotation:
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"""
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om = np.array(basis,dtype=float)
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if om.shape[-2:] != (3,3):
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raise ValueError('invalid shape')
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if om.shape[-2:] != (3,3): raise ValueError('invalid shape')
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if reciprocal:
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om = np.linalg.inv(tensor.transpose(om)/np.pi) # transform reciprocal basis set
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orthonormal = False # contains stretch
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if not orthonormal:
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(U,S,Vh) = np.linalg.svd(om) # singular value decomposition
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om = np.einsum('...ij,...jl',U,Vh)
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@ -880,6 +878,7 @@ class Rotation:
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or not np.allclose(np.einsum('...i,...i',om[...,1],om[...,2]), 0.0) \
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or not np.allclose(np.einsum('...i,...i',om[...,2],om[...,0]), 0.0):
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raise ValueError('orientation matrix is not orthogonal')
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if not np.allclose(np.linalg.det(om),1.0):
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raise ValueError('orientation matrix has determinant ≠ 1')
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@ -945,15 +944,14 @@ class Rotation:
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"""
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ro = np.array(rho,dtype=float)
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if ro.shape[:-2:-1] != (4,):
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raise ValueError('invalid shape')
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if abs(P) != 1:
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raise ValueError('P ∉ {-1,1}')
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if ro.shape[:-2:-1] != (4,): raise ValueError('invalid shape')
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if abs(P) != 1: raise ValueError('P ∉ {-1,1}')
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ro[...,0:3] *= -P
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if np.any(ro[...,3] < 0.0):
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raise ValueError('Rodrigues vector rotation angle is negative')
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if normalize: ro[...,0:3] /= np.linalg.norm(ro[...,0:3],axis=-1,keepdims=True)
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if np.any(ro[...,3] < 0.0): raise ValueError('Rodrigues vector rotation angle is negative')
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if normalize:
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ro[...,0:3] /= np.linalg.norm(ro[...,0:3],axis=-1,keepdims=True)
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elif not np.allclose(np.linalg.norm(ro[...,0:3],axis=-1), 1.0):
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raise ValueError('Rodrigues vector rotation axis is not of unit length')
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@ -974,10 +972,8 @@ class Rotation:
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"""
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ho = np.array(h,dtype=float)
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if ho.shape[:-2:-1] != (3,):
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raise ValueError('invalid shape')
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if abs(P) != 1:
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raise ValueError('P ∉ {-1,1}')
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if ho.shape[:-2:-1] != (3,): raise ValueError('invalid shape')
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if abs(P) != 1: raise ValueError('P ∉ {-1,1}')
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ho *= -P
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@ -1001,11 +997,8 @@ class Rotation:
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"""
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cu = np.array(x,dtype=float)
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if cu.shape[:-2:-1] != (3,):
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raise ValueError('invalid shape')
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if abs(P) != 1:
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raise ValueError('P ∉ {-1,1}')
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if cu.shape[:-2:-1] != (3,): raise ValueError('invalid shape')
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if abs(P) != 1: raise ValueError('P ∉ {-1,1}')
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if np.abs(np.max(cu)) > np.pi**(2./3.) * 0.5+1e-9:
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raise ValueError('cubochoric coordinate outside of the cube')
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