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B5.hpp
// 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 07.07.2020.
//

#pragma once

#include "fn_aux.hpp"

namespace B_functions {
	static const auto d/*(h_j,H_j)*/ = minimum(1_Z, maximum(0_Z, 1_Z - x1 + x0));
	static const auto A_jp1/*(h_j,H_j)*/ = acos(d) - d * sqrt(1_Z - square(d));
	static const auto B_5/*(h_j,H_j)*/ = A_jp1 + square(x0) - x1 * x0;
}

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