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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:

def subtract_and_intersect_circle(self, center, radius):
        '''Will throw a VennRegionException if the circle to be subtracted is completely inside and not touching the given region.'''
        
        # Check whether the target circle intersects us
        center = np.asarray(center, float)
        d = np.linalg.norm(center - self.center)
        if d > (radius + self.radius - tol):
            return [self, VennEmptyRegion()] # The circle does not intersect us
        elif d < tol:
            if radius > self.radius - tol:
                # We are completely covered by that circle or we are the same circle
                return [VennEmptyRegion(), self]
            else:
                # That other circle is inside us and smaller than us - we can't deal with it
                raise VennRegionException("Invalid configuration of circular regions (holes are not supported).")
        else:
            # We *must* intersect the other circle. If it is not the case, then it is inside us completely,
            # and we'll complain.            
            intersections = circle_circle_intersection(self.center, self.radius, center, radius)
            
            if intersections is None:
                raise VennRegionException("Invalid configuration of circular regions (holes are not supported).")
            elif np.all(abs(intersections[0] - intersections[1]) < tol) and self.radius < radius:
                # There is a single intersection point (i.e. we are touching the circle),
                # the circle to be subtracted is not outside of us (this was checked before), and is larger than us.
                # This is a particular corner case that is not dealt with correctly by the general-purpose code below and must
                # be handled separately
                return [VennEmptyRegion(), self]
            else:
                # Otherwise the subtracted region is a 2-arc-gon
                # Before we need to convert the intersection points as angles wrt each circle.
                a_1 = vector_angle_in_degrees(intersections[0] - self.center)
                a_2 = vector_angle_in_degrees(intersections[1] - self.center)
                b_1 = vector_angle_in_degrees(intersections[0] - center)
                b_2 = vector_angle_in_degrees(intersections[1] - center)

                # We must take care of the situation where the intersection points happen to be the same
                if (abs(b_1 - b_2) < tol):
                    b_1 = b_2 - tol/2
                if (abs(a_1 - a_2) < tol):
                    a_2 = a_1 + tol/2
                
                # The subtraction is a 2-arc-gon [(AB, B-), (BA, A+)]
                s_arc1 = Arc(center, radius, b_1, b_2, False)
                s_arc2 = Arc(self.center, self.radius, a_2, a_1, True)                
                subtraction = VennArcgonRegion([s_arc1, s_arc2])
                
                # .. and the intersection is a 2-arc-gon [(AB, A+), (BA, B+)]
                i_arc1 = Arc(self.center, self.radius, a_1, a_2, True)
                i_arc2 = Arc(center, radius, b_2, b_1, True)
                intersection = VennArcgonRegion([i_arc1, i_arc2])
                return [subtraction, intersection]