def __init__(self, ps, color=None):
Shape.__init__(self, color)
self.vs = ps
self.bound = AABox.from_vectors(*self.vs)
self.half_planes = []
for i in xrange(len(self.vs)):
h = HalfPlane(self.vs[i], self.vs[(i+1) % len(self.vs)])
self.half_planes.append(h)
def __init__(self, ps, color=None):
Shape.__init__(self, color)
self.vs = ps
self.bound = AABox.from_vectors(*self.vs)
self.half_planes = []
for i in xrange(len(self.vs)):
h = HalfPlane(self.vs[i], self.vs[(i+1) % len(self.vs)])
self.half_planes.append(h)
def __init__(self, a=1.0, b=1.0, c=0.0, d=0.0, e=0.0, f=-1.0, color=None):
Shape.__init__(self, color)
if c*c - 4*a*b >= 0:
raise Exception("Not an ellipse")
self.a = a
self.b = b
self.c = c
self.d = d
self.e = e
self.f = f
self.gradient = Transform(2*a, c, d, c, 2*b, e)
self.center = self.gradient.inverse() * Vector(0, 0)
y1, y2 = quadratic(b-c*c/4*a, e-c*d/2*a, f-d*d/4*a)
x1, x2 = quadratic(a-c*c/4*b, d-c*e/2*b, f-e*e/4*b)
self.bound = AABox.from_vectors(Vector(-(d + c*y1)/2*a, y1),
Vector(-(d + c*y2)/2*a, y2),
Vector(x1, -(e + c*x1)/2*b),
Vector(x2, -(e + c*x2)/2*b))
if not self.contains(self.center):
raise Exception("Internal error, center not inside ellipse")
def __init__(self, a=1.0, b=1.0, c=0.0, d=0.0, e=0.0, f=-1.0, color=None):
Shape.__init__(self, color)
if c * c - 4 * a * b >= 0:
raise Exception("Not an ellipse")
self.a = a
self.b = b
self.c = c
self.d = d
self.e = e
self.f = f
self.gradient = Transform(2 * a, c, d, c, 2 * b, e)
self.center = self.gradient.inverse() * Vector(0, 0)
y1, y2 = quadratic(b - c * c / 4 * a, e - c * d / 2 * a,
f - d * d / 4 * a)
x1, x2 = quadratic(a - c * c / 4 * b, d - c * e / 2 * b,
f - e * e / 4 * b)
self.bound = AABox.from_vectors(Vector(-(d + c * y1) / 2 * a, y1),
Vector(-(d + c * y2) / 2 * a, y2),
Vector(x1, -(e + c * x1) / 2 * b),
Vector(x2, -(e + c * x2) / 2 * b))
if not self.contains(self.center):
raise Exception("Internal error, center not inside ellipse")
def bounds(self):
return AABox(Vector(0, 0), Vector(1, 1))