// Copyright (C) 2002-2011 Nikolaus Gebhardt // This file is part of the "Irrlicht Engine". // For conditions of distribution and use, see copyright notice in irrlicht.h #ifndef __IRR_LINE_3D_H_INCLUDED__ #define __IRR_LINE_3D_H_INCLUDED__ #include "irrTypes.h" #include "vector3d.h" namespace irr { namespace core { //! 3D line between two points with intersection methods. template <class T> class line3d { public: //! Default constructor /** line from (0,0,0) to (1,1,1) */ line3d() : start(0,0,0), end(1,1,1) {} //! Constructor with two points line3d(T xa, T ya, T za, T xb, T yb, T zb) : start(xa, ya, za), end(xb, yb, zb) {} //! Constructor with two points as vectors line3d(const vector3d<T>& start, const vector3d<T>& end) : start(start), end(end) {} // operators line3d<T> operator+(const vector3d<T>& point) const { return line3d<T>(start + point, end + point); } line3d<T>& operator+=(const vector3d<T>& point) { start += point; end += point; return *this; } line3d<T> operator-(const vector3d<T>& point) const { return line3d<T>(start - point, end - point); } line3d<T>& operator-=(const vector3d<T>& point) { start -= point; end -= point; return *this; } bool operator==(const line3d<T>& other) const { return (start==other.start && end==other.end) || (end==other.start && start==other.end);} bool operator!=(const line3d<T>& other) const { return !(start==other.start && end==other.end) || (end==other.start && start==other.end);} // functions //! Set this line to a new line going through the two points. void setLine(const T& xa, const T& ya, const T& za, const T& xb, const T& yb, const T& zb) {start.set(xa, ya, za); end.set(xb, yb, zb);} //! Set this line to a new line going through the two points. void setLine(const vector3d<T>& nstart, const vector3d<T>& nend) {start.set(nstart); end.set(nend);} //! Set this line to new line given as parameter. void setLine(const line3d<T>& line) {start.set(line.start); end.set(line.end);} //! Get length of line /** \return Length of line. */ T getLength() const { return start.getDistanceFrom(end); } //! Get squared length of line /** \return Squared length of line. */ T getLengthSQ() const { return start.getDistanceFromSQ(end); } //! Get middle of line /** \return Center of line. */ vector3d<T> getMiddle() const { return (start + end) * (T)0.5; } //! Get vector of line /** \return vector of line. */ vector3d<T> getVector() const { return end - start; } //! Check if the given point is between start and end of the line. /** Assumes that the point is already somewhere on the line. \param point The point to test. \return True if point is on the line between start and end, else false. */ bool isPointBetweenStartAndEnd(const vector3d<T>& point) const { return point.isBetweenPoints(start, end); } //! Get the closest point on this line to a point /** \param point The point to compare to. \return The nearest point which is part of the line. */ vector3d<T> getClosestPoint(const vector3d<T>& point) const { vector3d<T> c = point - start; vector3d<T> v = end - start; T d = (T)v.getLength(); v /= d; T t = v.dotProduct(c); if (t < (T)0.0) return start; if (t > d) return end; v *= t; return start + v; } //! Check if the line intersects with a shpere /** \param sorigin: Origin of the shpere. \param sradius: Radius of the sphere. \param outdistance: The distance to the first intersection point. \return True if there is an intersection. If there is one, the distance to the first intersection point is stored in outdistance. */ bool getIntersectionWithSphere(vector3d<T> sorigin, T sradius, f64& outdistance) const { const vector3d<T> q = sorigin - start; T c = q.getLength(); T v = q.dotProduct(getVector().normalize()); T d = sradius * sradius - (c*c - v*v); if (d < 0.0) return false; outdistance = v - core::squareroot ( d ); return true; } // member variables //! Start point of line vector3d<T> start; //! End point of line vector3d<T> end; }; //! Typedef for an f32 line. typedef line3d<f32> line3df; //! Typedef for an integer line. typedef line3d<s32> line3di; } // end namespace core } // end namespace irr #endif
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