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62 lines
2.1 KiB
62 lines
2.1 KiB
14 years ago
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#ifndef Magnum_Math_Geometry_Distance_h
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#define Magnum_Math_Geometry_Distance_h
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/*
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Copyright © 2010, 2011, 2012 Vladimír Vondruš <mosra@centrum.cz>
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This file is part of Magnum.
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Magnum is free software: you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License version 3
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only, as published by the Free Software Foundation.
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Magnum 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 Lesser General Public License version 3 for more details.
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*/
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/** @file
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* @brief Class Magnum::Math::Geometry::Distance
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*/
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#include "Math/Vector3.h"
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namespace Magnum { namespace Math { namespace Geometry {
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/** @brief Functions for computing distances */
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class Distance {
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public:
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/**
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* @brief %Distance of line and point
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* @param a First point of the line
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* @param b Second point of the line
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* @param point Point
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*
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* The distance *d* is computed from point **p** and line defined by **a**
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* and **b** using @ref Vector3::cross() "cross product":
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* @f[
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* d = \frac{|(\boldsymbol p - \boldsymbol a) \times (\boldsymbol p - \boldsymbol b)|}
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* {|\boldsymbol b - \boldsymbol a|}
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* @f]
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*
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* @see linePointSquared()
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*/
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template<class T> inline static T linePoint(const Vector3<T>& a, const Vector3<T>& b, const Vector3<T>& point) {
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return sqrt(linePointSquared(a, b, point));
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}
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/**
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* @brief %Distance of line and point, squared
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*
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* More efficient than linePoint() for comparing distance with other
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* values, because it doesn't compute the square root.
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*/
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template<class T> static T linePointSquared(const Vector3<T>& a, const Vector3<T>& b, const Vector3<T>& point) {
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return Vector3<T>::cross(point - a, point - b).lengthSquared()/(b - a).lengthSquared();
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}
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};
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}}}
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#endif
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