fixed FZ conditions and tightened tolerance to accommodate higher precision "tfit"
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@ -448,9 +448,12 @@ class Orientation(Rotation,Crystal):
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elif self.family == 'orthorhombic':
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elif self.family == 'orthorhombic':
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return (np.prod(1. >= rho_abs,axis=-1)).astype(bool)
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return (np.prod(1. >= rho_abs,axis=-1)).astype(bool)
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elif self.family == 'monoclinic':
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elif self.family == 'monoclinic':
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return (1. >= rho_abs[...,1]).astype(bool)
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return np.logical_or( 1. >= rho_abs[...,1],
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np.isnan(rho_abs[...,1]))
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elif self.family == 'triclinic':
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return np.ones(rho_abs.shape[:-1]).astype(bool)
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else:
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else:
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return np.all(np.isfinite(rho_abs),axis=-1)
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raise(TypeError, f'unknown symmetry "{self.family}"')
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@property
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@property
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@ -1372,7 +1372,7 @@ class Rotation:
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w[np.isclose(w[...,0],1.0+0.0j),1:] = 0.
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w[np.isclose(w[...,0],1.0+0.0j),1:] = 0.
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w[np.isclose(w[...,1],1.0+0.0j),2:] = 0.
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w[np.isclose(w[...,1],1.0+0.0j),2:] = 0.
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vr = np.swapaxes(vr,-1,-2)
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vr = np.swapaxes(vr,-1,-2)
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ax = np.where(np.abs(diag_delta)<1e-12,
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ax = np.where(np.abs(diag_delta)<1e-13,
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np.real(vr[np.isclose(w,1.0+0.0j)]).reshape(om.shape[:-2]+(3,)),
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np.real(vr[np.isclose(w,1.0+0.0j)]).reshape(om.shape[:-2]+(3,)),
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np.abs(np.real(vr[np.isclose(w,1.0+0.0j)]).reshape(om.shape[:-2]+(3,))) \
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np.abs(np.real(vr[np.isclose(w,1.0+0.0j)]).reshape(om.shape[:-2]+(3,))) \
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*np.sign(diag_delta))
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*np.sign(diag_delta))
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@ -1581,14 +1581,19 @@ class Rotation:
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@staticmethod
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@staticmethod
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def _ho2ax(ho: np.ndarray) -> np.ndarray:
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def _ho2ax(ho: np.ndarray) -> np.ndarray:
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"""Homochoric vector to axis–angle pair."""
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"""Homochoric vector to axis–angle pair."""
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tfit = np.array([+1.0000000000018852, -0.5000000002194847,
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tfit = np.array([
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-0.024999992127593126, -0.003928701544781374,
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0.9999999999999968E0, -0.49999999999986866E0,
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-0.0008152701535450438, -0.0002009500426119712,
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-0.025000000000632055E0, -0.003928571496460683E0,
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-0.00002397986776071756, -0.00008202868926605841,
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-0.0008164666077062752E0, -0.00019411896443261646E0,
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+0.00012448715042090092, -0.0001749114214822577,
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-0.00004985822229871769E0, -0.000014164962366386031E0,
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+0.0001703481934140054, -0.00012062065004116828,
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-1.9000248160936107E-6, -5.72184549898506E-6,
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+0.000059719705868660826, -0.00001980756723965647,
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7.772149920658778E-6, -0.00001053483452909705E0,
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+0.000003953714684212874, -0.00000036555001439719544])
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9.528014229335313E-6, -5.660288876265125E-6,
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1.2844901692764126E-6, 1.1255185726258763E-6,
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-1.3834391419956455E-6, 7.513691751164847E-7,
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-2.401996891720091E-7, 4.386887017466388E-8,
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-3.5917775353564864E-9,
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])
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hmag_squared = np.sum(ho**2.,axis=-1,keepdims=True)
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hmag_squared = np.sum(ho**2.,axis=-1,keepdims=True)
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s = np.sum(tfit*hmag_squared**np.arange(len(tfit)),axis=-1,keepdims=True)
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s = np.sum(tfit*hmag_squared**np.arange(len(tfit)),axis=-1,keepdims=True)
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with np.errstate(invalid='ignore'):
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with np.errstate(invalid='ignore'):
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@ -1679,7 +1684,7 @@ class Rotation:
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"""
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"""
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with np.errstate(invalid='ignore',divide='ignore'):
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with np.errstate(invalid='ignore',divide='ignore'):
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# get pyramide and scale by grid parameter ratio
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# get pyramid and scale by grid parameter ratio
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XYZ = np.take_along_axis(cu,Rotation._get_pyramid_order(cu,'forward'),-1) * _sc
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XYZ = np.take_along_axis(cu,Rotation._get_pyramid_order(cu,'forward'),-1) * _sc
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order = np.abs(XYZ[...,1:2]) <= np.abs(XYZ[...,0:1])
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order = np.abs(XYZ[...,1:2]) <= np.abs(XYZ[...,0:1])
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q = np.pi/12.0 * np.where(order,XYZ[...,1:2],XYZ[...,0:1]) \
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q = np.pi/12.0 * np.where(order,XYZ[...,1:2],XYZ[...,0:1]) \
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