fixes to quaternion class
- always store data as float (solves issues with truediv) - fixed in-place multiplication and division - consistent handling of "..ed()" functions
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@ -10,15 +10,15 @@ class Quaternion:
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Quaternion with basic operations
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q is the real part, p = (x, y, z) are the imaginary parts.
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Defintion of multiplication depends on variable P, P ∈ {-1,1}.
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Definition of multiplication depends on variable P, P ∈ {-1,1}.
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"""
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def __init__(self,
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q = 0.0,
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p = np.zeros(3,dtype=float)):
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"""Initializes to identity unless specified"""
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self.q = q
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self.p = np.array(p)
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self.q = float(q)
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self.p = np.array(p,dtype=float)
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def __copy__(self):
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@ -102,7 +102,8 @@ class Quaternion:
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self.p = self.q*other.p + other.q*self.p + P * np.cross(self.p,other.p)
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return self
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elif isinstance(other, (int, float)):
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self *= other
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self.q *= other
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self.p *= other
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return self
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else:
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return NotImplemented
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@ -115,9 +116,8 @@ class Quaternion:
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return self.__class__(q=self.q * s,
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p=self.p * s)
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elif isinstance(other, (int, float)):
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self.q /= other
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self.p /= other
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return self
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return self.__class__(q=self.q / other,
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p=self.p / other)
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else:
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return NotImplemented
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@ -129,6 +129,7 @@ class Quaternion:
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return self
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elif isinstance(other, (int, float)):
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self.q /= other
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self.p /= other
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return self
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else:
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return NotImplemented
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@ -149,6 +150,7 @@ class Quaternion:
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omega = np.acos(self.q)
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self.q = np.cos(exponent*omega)
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self.p *= np.sin(exponent*omega)/np.sin(omega)
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return self
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else:
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return NotImplemented
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@ -179,31 +181,34 @@ class Quaternion:
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return np.array((self.q,self.p[0],self.p[1],self.p[2]))
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def asList(self):
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"""As list"""
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return [self.q]+list(self.p)
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def normalize(self):
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"""Normalizes in-place (no return value)"""
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d = self.magnitude()
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if d > 0.0:
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self.q /= d
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self.p /= d
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return self
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if d > 0.0: self /= d
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def normalized(self):
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"""Returns normalized copy"""
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return self.copy().normalize()
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def conjugate(self):
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"""Conjugates in-place (no return value)"""
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self.p = -self.p
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return self
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def conjugated(self):
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"""Returns conjugated copy"""
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return self.copy().conjugate()
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def homomorph(self):
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"""Homomorphs in-place (no return value)"""
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self.q = -self.q
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self.p = -self.p
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return self
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def homomorphed(self):
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"""Returns homomorphed copy"""
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return self.copy().homomorph()
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