💿🐜 Antkeeper source code
https://antkeeper.com
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123 lines
3.3 KiB
123 lines
3.3 KiB
/*
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* Copyright (C) 2021 Christopher J. Howard
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*
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* This file is part of Antkeeper source code.
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*
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* Antkeeper source code is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* Antkeeper source code is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with Antkeeper source code. If not, see <http://www.gnu.org/licenses/>.
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*/
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#ifndef ANTKEEPER_GEOM_PLANE_HPP
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#define ANTKEEPER_GEOM_PLANE_HPP
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#include "math/math.hpp"
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namespace geom {
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/**
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* A flat 2-dimensional surface.
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*/
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template <class T>
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struct plane
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{
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typedef math::vector<T, 3> vector_type;
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/// Plane normal vector.
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vector_type normal;
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/// Plane distance.
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T distance;
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/**
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* Creates a plane given a normal vector and distance.
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*/
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plane(const vector_type& normal, T distance);
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/**
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* Creates a plane given a normal vector and offset vector.
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*/
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plane(const vector_type& normal, const vector_type& offset);
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/**
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* Creates a plane given three points.
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*/
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plane(const vector_type& a, const vector_type& b, const vector_type& c);
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/**
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* Creates a plane given its coefficients.
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*
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* @param coefficients Vector containing the plane coefficients, A, B, C and D, as x, y, z, and w, respectively.
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*/
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plane(const math::vector<T, 4>& coefficients);
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/// Creates an uninitialized plane.
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plane() = default;
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/**
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* Calculates the signed distance between a plane and a vector.
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*
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* @param v Vector.
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* @return Signed distance between the plane and vector.
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*/
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T signed_distance(const vector_type& v) const;
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/**
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* Calculates the point of intersection between three planes.
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*/
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static vector_type intersection(const plane& p0, const plane& p1, const plane& p2);
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};
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template <class T>
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inline plane<T>::plane(const vector_type& normal, T distance):
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normal(normal),
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distance(distance)
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{}
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template <class T>
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plane<T>::plane(const vector_type& normal, const vector_type& offset):
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normal(normal),
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distance(-math::dot(normal, offset))
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{}
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template <class T>
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plane<T>::plane(const vector_type& a, const vector_type& b, const vector_type& c)
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{
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normal = math::normalize(math::cross(c - b, a - b));
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distance = -(math::dot(normal, b));
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}
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template <class T>
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plane<T>::plane(const math::vector<T, 4>& coefficients)
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{
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const vector_type abc = math::resize<3>(coefficients);
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const float inverse_length = T(1) / math::length(abc);
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normal = abc * inverse_length;
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distance = coefficients[3] * inverse_length;
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}
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template <class T>
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inline T plane<T>::signed_distance(const vector_type& v) const
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{
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return distance + math::dot(normal, v);
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}
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template <class T>
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typename plane<T>::vector_type plane<T>::intersection(const plane& p0, const plane& p1, const plane& p2)
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{
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return -(p0.distance * math::cross(p1.normal, p2.normal) + p1.distance * math::cross(p2.normal, p0.normal) + p2.distance * math::cross(p0.normal, p1.normal)) / math::dot(p0.normal, math::cross(p1.normal, p2.normal));
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}
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} // namespace geom
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#endif // ANTKEEPER_GEOM_PLANE_HPP
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