use 4 space for indentation
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@ -493,7 +493,6 @@ class Rotation:
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ax = [ qu[1]*s, qu[2]*s, qu[3]*s, omega ]
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else:
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ax = [ qu[1], qu[2], qu[3], np.pi]
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return np.array(ax)
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@staticmethod
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@ -504,14 +503,13 @@ class Rotation:
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else:
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s = np.linalg.norm([qu[1],qu[2],qu[3]])
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ro = [0.0,0.0,P,0.0] if iszero(s) else \
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[ qu[1]/s, qu[2]/s, qu[3]/s, np.tan(np.arccos(np.clip(qu[0],-1.0,1.0)))] # avoid numerical difficulties
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[ qu[1]/s, qu[2]/s, qu[3]/s, np.tan(np.arccos(np.clip(qu[0],-1.0,1.0)))]
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return np.array(ro)
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@staticmethod
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def qu2ho(qu):
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"""Quaternion to homochoric vector."""
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omega = 2.0 * np.arccos(np.clip(qu[0],-1.0,1.0)) # avoid numerical difficulties
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omega = 2.0 * np.arccos(np.clip(qu[0],-1.0,1.0))
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if iszero(omega):
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ho = np.array([ 0.0, 0.0, 0.0 ])
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@ -519,7 +517,6 @@ class Rotation:
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ho = np.array([qu[1], qu[2], qu[3]])
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f = 0.75 * ( omega - np.sin(omega) )
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ho = ho/np.linalg.norm(ho) * f**(1./3.)
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return ho
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@staticmethod
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@ -571,7 +568,6 @@ class Rotation:
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ax[0:3] = np.real(vr[0:3,i])
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diagDelta = np.array([om[1,2]-om[2,1],om[2,0]-om[0,2],om[0,1]-om[1,0]])
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ax[0:3] = np.where(iszero(diagDelta), ax[0:3],np.abs(ax[0:3])*np.sign(-P*diagDelta))
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return np.array(ax)
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@staticmethod
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@ -633,7 +629,6 @@ class Rotation:
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ax = -P/tau * np.array([ t*np.cos(delta), t*np.sin(delta), np.sin(sigma) ]) # passive axis angle pair so a minus sign in front
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ax = np.append(ax,alpha)
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if alpha < 0.0: ax *= -1.0 # ensure alpha is positive
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return ax
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@staticmethod
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@ -646,7 +641,6 @@ class Rotation:
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ro = np.array([ 0.0, 0.0, P, 0.0 ])
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else:
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ro[3] = np.tan(ro[3]*0.5)
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return ro
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@staticmethod
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@ -670,7 +664,6 @@ class Rotation:
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c = np.cos(ax[3]*0.5)
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s = np.sin(ax[3]*0.5)
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qu = np.array([ c, ax[0]*s, ax[1]*s, ax[2]*s ])
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return qu
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@staticmethod
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@ -685,7 +678,6 @@ class Rotation:
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q = omc*ax[idx[0]] * ax[idx[1]]
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om[idx[0],idx[1]] = q + s*ax[idx[2]]
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om[idx[1],idx[0]] = q - s*ax[idx[2]]
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return om if P < 0.0 else om.T
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@staticmethod
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@ -703,7 +695,6 @@ class Rotation:
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# 180 degree case
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ro += [np.inf] if np.isclose(ax[3],np.pi,atol=1.0e-15,rtol=0.0) else \
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[np.tan(ax[3]*0.5)]
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return np.array(ro)
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@staticmethod
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@ -748,7 +739,6 @@ class Rotation:
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angle = 2.0*np.arctan(ta)
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ta = 1.0/np.linalg.norm(ro[0:3])
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ax = [ ro[0]/ta, ro[1]/ta, ro[2]/ta, angle ]
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return np.array(ax)
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@staticmethod
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@ -759,7 +749,6 @@ class Rotation:
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else:
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f = 2.0*np.arctan(ro[3]) -np.sin(2.0*np.arctan(ro[3])) if np.isfinite(ro[3]) else np.pi
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ho = ro[0:3] * (0.75*f)**(1.0/3.0)
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return np.array(ho)
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@staticmethod
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