سير العمل البرمجي · نقاط منحنى بيزيه التربيعي

from math import isfinite
def quadratic_bezier(points, t):
    def valid(v):
        return type(v) in (int, float) and -1e100 <= v <= 1e100 and isfinite(v)
    if type(points) not in (list, tuple) or len(points) != 3:
        raise ValueError("three control points")
    if any(type(p) not in (list, tuple) or len(p) != 2 or not all(map(valid,p)) for p in points):
        raise ValueError("bounded finite 2D controls")
    if not valid(t) or not 0 <= t <= 1: raise ValueError("parameter 0 through 1")
    def mix(a,b): return tuple((1-t)*x+t*y for x,y in zip(a,b))
    return mix(mix(points[0],points[1]),mix(points[1],points[2]))