-------------------------------------------------------------------------------
-- Spine Runtimes Software License v2.5
--
-- Copyright (c) 2013-2016, Esoteric Software
-- All rights reserved.
--
-- You are granted a perpetual, non-exclusive, non-sublicensable, and
-- non-transferable license to use, install, execute, and perform the Spine
-- Runtimes software and derivative works solely for personal or internal
-- use. Without the written permission of Esoteric Software (see Section 2 of
-- the Spine Software License Agreement), you may not (a) modify, translate,
-- adapt, or develop new applications using the Spine Runtimes or otherwise
-- create derivative works or improvements of the Spine Runtimes or (b) remove,
-- delete, alter, or obscure any trademarks or any copyright, trademark, patent,
-- or other intellectual property or proprietary rights notices on or in the
-- Software, including any copy thereof. Redistributions in binary or source
-- form must include this license and terms.
--
-- THIS SOFTWARE IS PROVIDED BY ESOTERIC SOFTWARE "AS IS" AND ANY EXPRESS OR
-- IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
-- MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO
-- EVENT SHALL ESOTERIC SOFTWARE BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
-- SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES, BUSINESS INTERRUPTION, OR LOSS OF
-- USE, DATA, OR PROFITS) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER
-- IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
-- ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-- POSSIBILITY OF SUCH DAMAGE.
-------------------------------------------------------------------------------

local interpolation = {}

local math_pow = math.pow

function interpolation.apply (func, start, _end, a)
	return start + (_end - start) * func(a)
end

function interpolation.pow2(a)
	if (a <= 0.5) then return math_pow(a * 2, 2) / 2 end
	return math_pow((a - 1) * 2, 2) / -2 + 1
end

function interpolation.pow2out(a)
	return math_pow(a - 1, 2) * -1 + 1
end

return interpolation