# Copyright 2004-2019 Tom Rothamel <pytom@bishoujo.us>
#
# Permission is hereby granted, free of charge, to any person
# obtaining a copy of this software and associated documentation files
# (the "Software"), to deal in the Software without restriction,
# including without limitation the rights to use, copy, modify, merge,
# publish, distribute, sublicense, and/or sell copies of the Software,
# and to permit persons to whom the Software is furnished to do so,
# subject to the following conditions:
#
# The above copyright notice and this permission notice shall be
# included in all copies or substantial portions of the Software.
#
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
# LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
# OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
# WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

# This file contains warpers that are used by ATL. They need to be defined
# early, so Ren'Py knows about them when parsing other files.

python early in _warper:

    # pause is defined internally, but would look like:
    #
    # @renpy.atl_warper
    # def pause(t):
    #     if t >= 1.0:
    #         return 1.0
    #     else:
    #         return 0.0

    @renpy.atl_warper
    def linear(t):
        return t

    @renpy.atl_warper
    def easeout(x):
        import math
        return 1.0 - math.cos(x * math.pi / 2.0)

    @renpy.atl_warper
    def easein(x):
        import math
        return math.cos((1.0 - x) * math.pi / 2.0)

    @renpy.atl_warper
    def ease(x):
        import math
        return .5 - math.cos(math.pi * x) / 2.0

    # Modified easing equations based on Robert Penner (http://robertpenner.com/easing/)
    # License: http://robertpenner.com/easing_terms_of_use.html

    # -in / -out surfix are inverted to much default warpers in ATL.

    # quad
    @renpy.atl_warper
    def easeout_quad(t):
        return pow(t, 2)

    @renpy.atl_warper
    def easein_quad(t):
        return 1 - easeout_quad(1 - t)

    @renpy.atl_warper
    def ease_quad(t):
        if t < .5:
            return easeout_quad(t * 2.0) / 2.0
        else:
            return 1 - easeout_quad((1 - t)* 2.0) / 2.0


    # cubic
    @renpy.atl_warper
    def easeout_cubic(t):
        return pow(t, 3)

    @renpy.atl_warper
    def easein_cubic(t):
        return 1 - easeout_cubic(1 - t)

    @renpy.atl_warper
    def ease_cubic(t):
        if t < .5:
            return easeout_cubic(t * 2.0) / 2.0
        else:
            return 1 - easeout_cubic((1 - t)* 2.0) / 2.0


    # quart
    @renpy.atl_warper
    def easeout_quart(t):
        return pow(t, 4)

    @renpy.atl_warper
    def easein_quart(t):
        return 1 - easeout_quart(1 - t)

    @renpy.atl_warper
    def ease_quart(t):
        if t < .5:
            return easeout_quart(t * 2.0) / 2.0
        else:
            return 1 - easeout_quart((1 - t)* 2.0) / 2.0


    # quint
    @renpy.atl_warper
    def easeout_quint(t):
        return pow(t, 5)

    @renpy.atl_warper
    def easein_quint(t):
        return 1 - easeout_quint(1 - t)

    @renpy.atl_warper
    def ease_quint(t):
        if t < .5:
            return easeout_quint(t * 2.0) / 2.0
        else:
            return 1 - easeout_quint((1 - t)* 2.0) / 2.0


    # exponential
    @renpy.atl_warper
    def easeout_expo(t):
        return pow(2, 10 * (t - 1))

    @renpy.atl_warper
    def easein_expo(t):
        return 1 - easeout_expo(1 - t)

    @renpy.atl_warper
    def ease_expo(t):
        if t < .5:
            return easeout_expo(t * 2.0) / 2.0
        else:
            return 1 - easeout_expo((1 - t)* 2.0) / 2.0


    # circular
    @renpy.atl_warper
    def easeout_circ(t):
        import math
        return 1 - math.sqrt(1 - t * t)

    @renpy.atl_warper
    def easein_circ(t):
        return 1 - easeout_circ(1- t)

    @renpy.atl_warper
    def ease_circ(t):
        if t < .5:
            return  easeout_circ(t * 2.0) / 2.0
        else:
            return 1 - easeout_circ((1- t) * 2.0) / 2.0


    # back
    @renpy.atl_warper
    def easeout_back(t):
        s = 1.7015 # Overshoot. It ranges .0 (swing 0%) ~ 8.4435 (swing 100%).
        return t * t * ((s + 1) * t - s)

    @renpy.atl_warper
    def easein_back(t):
        return  1 - easeout_back(1- t)

    @renpy.atl_warper
    def ease_back(t):
        if t < .5:
            return  easeout_back(t * 2.0) / 2.0
        else:
            return 1 - easeout_back((1- t) * 2.0) / 2.0


    # elastic
    @renpy.atl_warper
    def easein_elastic(t):
        import math
        p = .3 # Period. It ranges 0.1 (spring many) ~ 1.0 (spring once).
        return 1 + pow(2, - 10 * t) * math.sin((t - p / 4.0) * (2.0 * math.pi) / p)

    @renpy.atl_warper
    def easeout_elastic(t):
        return 1 - easein_elastic(1 - t)

    @renpy.atl_warper
    def ease_elastic(t):
        if t < .5:
            return  easeout_elastic(t * 2.0) / 2.0
        else:
            return 1 - easeout_elastic((1- t) * 2.0) / 2.0


    # bounce
    @renpy.atl_warper
    def easein_bounce(t):
        p = 2.75 # Period. It's a fixed value. Don't change this.
        s = pow(p, 2)
        if t < (1.0 / p):
            return s * t * t
        elif t < (2.0 / p):
            return 1 + s * (pow(t - 1.5 / p, 2) - pow(- .5 / p, 2))
        elif t < (2.5 / p):
            return 1 + s * (pow(t - 2.25 / p, 2) - pow(- .25 / p, 2))
        else:
            return 1 + s * (pow(t - 2.625 / p, 2) - pow(- .125 / p, 2))

    @renpy.atl_warper
    def easeout_bounce(t):
        return 1 - easein_bounce(1 - t)

    @renpy.atl_warper
    def ease_bounce(t):
        if t < .5:
            return  easeout_bounce(t * 2.0) / 2.0
        else:
            return 1 - easeout_bounce((1- t) * 2.0) / 2.0