# ----------------------------------------------------------------------------
# cocos2d
# Copyright (c) 2008-2012 Daniel Moisset, Ricardo Quesada, Rayentray Tappa,
# Lucio Torre
# Copyright (c) 2009-2023  Richard Jones, Claudio Canepa
# All rights reserved.
#
# Redistribution and use in source and binary forms, with or without
# modification, are permitted provided that the following conditions are met:
#
#   * Redistributions of source code must retain the above copyright
#     notice, this list of conditions and the following disclaimer.
#   * Redistributions in binary form must reproduce the above copyright
#     notice, this list of conditions and the following disclaimer in
#     the documentation and/or other materials provided with the
#     distribution.
#   * Neither the name of cocos2d nor the names of its
#     contributors may be used to endorse or promote products
#     derived from this software without specific prior written
#     permission.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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# COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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# ----------------------------------------------------------------------------

from __future__ import division, print_function, unicode_literals


class Path(object):
    def at(self, t):
        pass


class Bezier(Path):
    def __init__(self, a, b, ac, bc):
        self.a = a
        self.b = b
        self.ac = ac
        self.bc = bc

    def at(self, t):
        def calc(i):
            a = self.a[i]
            b = self.ac[i]
            c = self.bc[i]
            d = self.b[i]
            return (
                ((1-t)**3) * a +
                3*t*((1-t)**2)*b +
                3*(t**2)*(1-t)*c +
                (t**3)*d
                )
        return calc(0), calc(1)

    def __repr__(self):
        return "Bezier( (%i,%i), (%i,%i), (%i, %i), (%i,%i) )" % (
            self.a[0], self.a[0],
            self.b[0], self.b[1],
            self.ac[0], self.ac[1],
            self.bc[0], self.bc[1],)
