// The code is open source under the MIT license.
// Copyright 2019-2020, Phillip Keldenich, TU Braunschweig, Algorithms Group
// https://ibr.cs.tu-bs.de/alg
// 
// 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.

//
// Created by Phillip Keldenich on 26.06.2020.
//

#pragma once

#include <ivarp/math_fn.hpp>

namespace B_functions {
	using namespace ivarp;
	using namespace ivarp::args;

	static const auto B_1/*(h_i, w_i, h_{i+1})*/ = maximum(
		0.5_X * x0 * x1 + 0.25_X * square(x0),
		square(x0) + (x1 - x0 - x2) * x2,
		0.5_X * x0 * (x1 + x0) - square(x2)
	);
}