def _image(self, func):
if isinstance(func, EuclideanTransformation):
radius = self.radius
direction = simplify(qrotate(func.rquat, func.parity*self.direction))
center = simplify(qrotate(func.rquat, func.parity*self.center))
center = simplify(center + func.tvec - project(func.tvec, direction))
closed = self.closed
return InfiniteCylinder(
radius=radius,
center=center,
direction=direction,
closed=closed,
normalization=False)
def _image(self, func):
if isinstance(func, EuclideanTransformation):
func = self.func
center = func.call(*self.center)
direction = simplify(qrotate(func.rquat, func.parity*self.direction))
return Revolution(
func=func,
center=center,
direction=direction,
normalization=False)
def _image(self, func):
if isinstance(func, EuclideanTransformation):
direction = simplify(qrotate(func.rquat, func.parity*self.direction))
offset = simplify(self.offset + dot(func.tvec, direction))
closed = self.closed
return Halfspace(
offset=offset,
direction=direction,
closed=closed,
normalization=False)
def _image(self, func):
if isinstance(func, EuclideanTransformation):
slope = self.slope
center = func.call(*self.center)
direction = simplify(qrotate(func.rquat, func.parity*self.direction))
closed = self.closed
return SemiInfiniteCone(
slope=slope,
center=center,
direction=direction,
closed=closed,
normalization=False)
def _image(self, func):
if isinstance(func, EuclideanTransformation):
radius = self.radius
height = self.height
center = func.call(*self.center)
direction = simplify(qrotate(func.rquat, func.parity*self.direction))
closed = self.closed
return Cone(
radius=radius,
height=height,
center=center,
direction=direction,
closed=closed,
normalization=False)
