def __nonzero__(self):
"""Returns whether any coordinates are nonzero.
Examples:
>>> assert Vector((0, 0))
Traceback (most recent call last):
...
AssertionError
>>> assert Vector((0, -1))
"""
return not floateq(self.view(numpy.ndarray), 0).all()
def collinear(p1, p2, *others):
"""Returns whether all given Positions (at least 2) are collinear.
Examples:
>>> assert collinear(Position((1,0,0)), Position((0,1,0)),
... Position((-1,2,0)), Position((-2, 3, 0)))
"""
delta = p2-p1
for other in others:
d = other-p1
if not floateq(delta.dot(d)**2, delta.dot(delta) * d.dot(d)):
return False
return True
def is_scalar_multiple_of(self, other):
"""Returns whether the vector is a scalar multiple of another.
Examples:
>>> v0 = Vector((0,0,0))
>>> v1 = Vector((1,0,0))
>>> v2 = Vector((2,3,4))
>>> v3 = Vector((4,6,8))
>>> assert not v3.is_scalar_multiple_of(v1)
>>> assert v3.is_scalar_multiple_of(v2)
>>> assert v2.is_scalar_multiple_of(v3)
>>> assert not v1.is_scalar_multiple_of(v0)
>>> assert v0.is_scalar_multiple_of(v1)
"""
if other:
perp = self.component_perpendicular_to(other)
return floateq(perp.dot(perp), 0)
else:
return self == other
def __eq__(self, other):
# If all our coordinates are roughly equal to theirs,
# we say we're equal.
if isinstance(other, Vector):
return bool(floateq(self, other).all())
return NotImplemented
def __eq__(self, other):
if isinstance(other, Position):
return floateq(self.view(numpy.ndarray),
other.view(numpy.ndarray)).all()
return NotImplemented