def carvedVolume(self):
'''
Basic linalg, since we carve out volume from the origin.
Then, let a = pos - O, b = vec1, c = vec2
Then V = (a * (b x c)) / 6
The first term is for the direction this volume is with respect to
the origin.
'''
return numpy.sign(numpy.dot(self.pos, self.norm())) \
* numpy.dot(self.pos, numpy.cross(self.vec1, self.vec2)) / 6.0
def carvedVolume(self):
'''
Basic linalg, since we carve out volume from the origin.
Then, let a = pos - O, b = vec1, c = vec2
Then V = (a * (b x c)) / 6
The first term is for the direction this volume is with respect to
the origin.
'''
return numpy.sign(numpy.dot(self.pos, self.norm())) \
* numpy.dot(self.pos, numpy.cross(self.vec1, self.vec2)) / 6.0
def carvedVolume(self):
# signum(N . pos) * ||pos x vec||/2
return numpy.sign(numpy.dot(self.pos, self.norm())) \
* numpy.linalg.norm(numpy.cross(self.pos, self.vec)) / 2
def carvedVolume(self):
# signum(N . pos) * ||pos x vec||/2
return numpy.sign(numpy.dot(self.pos, self.norm())) \
* numpy.linalg.norm(numpy.cross(self.pos, self.vec)) / 2