/* ----------------------------------------------------------------------------- This source file is part of ogre-procedural For the latest info, see http://code.google.com/p/ogre-procedural/ Copyright (c) 2010 Michael Broutin 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. ----------------------------------------------------------------------------- */ #ifndef PROCEDURAL_SPLINES_INCLUDED #define PROCEDURAL_SPLINES_INCLUDED #include "Ogre.h" namespace Procedural { enum CubicHermiteSplineAutoTangentMode { AT_NONE, AT_STRAIGHT, AT_CATMULL }; /** * Template control point for Cubic Hermite splines. */ template <class T> struct CubicHermiteSplineControlPoint { /// Position of the control point T position; /// Tangent just before the control point T tangentBefore; /// Tangent just after the control point T tangentAfter; /// Auto tangent mode for the tangent just before the control point CubicHermiteSplineAutoTangentMode autoTangentBefore; /// Auto tangent mode for the tangent just after the control point CubicHermiteSplineAutoTangentMode autoTangentAfter; /// Default constructor CubicHermiteSplineControlPoint() {} /// Constructor with arguments CubicHermiteSplineControlPoint(const T& p, const T& before, const T& after) : position(p), tangentBefore(before), tangentAfter(after), autoTangentBefore(AT_NONE), autoTangentAfter(AT_NONE) {} }; template <class T> void computeTangents(CubicHermiteSplineControlPoint<T>& point, const T& pointBefore, const T& pointAfter) { switch (point.autoTangentBefore) { case AT_STRAIGHT: point.tangentBefore = point.position - pointBefore; break; case AT_CATMULL: point.tangentBefore = pointAfter - pointBefore; break; case AT_NONE: break; } switch (point.autoTangentAfter) { case AT_STRAIGHT: point.tangentAfter = pointAfter - point.position; break; case AT_CATMULL: point.tangentAfter = pointAfter - pointBefore; break; case AT_NONE: break; } } // Computes the Cubic Hermite interpolation between 2 control points // Warning : does not compute auto-tangents, as AUTOTANGENT_CATMULL depend on context // Auto-Tangents should be computed before that call template<class T> void computeCubicHermitePoints(const CubicHermiteSplineControlPoint<T>& pointBefore, const CubicHermiteSplineControlPoint<T>& pointAfter, unsigned int numSeg, std::vector<T>& pointList) { const T& p0 = pointBefore.position; const T& m0 = pointBefore.tangentAfter; const T& p1 = pointAfter.position; const T& m1 = pointAfter.tangentBefore; for (unsigned int j = 0; j < numSeg; ++j) { Ogre::Real t = (Ogre::Real)j/(Ogre::Real)numSeg; Ogre::Real t2 = t*t; Ogre::Real t3 = t2*t; T P = (2*t3-3*t2+1)*p0+(t3-2*t2+t)*m0+(-2*t3+3*t2)*p1+(t3-t2)*m1; pointList.push_back(P); } } template<class T> void computeCatmullRomPoints(const T& P1, const T& P2, const T& P3, const T& P4, unsigned int numSeg, std::vector<T>& pointList) { for (unsigned int j = 0; j < numSeg; ++j) { Ogre::Real t = (Ogre::Real)j/(Ogre::Real)numSeg; Ogre::Real t2 = t*t; Ogre::Real t3 = t*t2; T P = 0.5f*((-t3+2.f*t2-t)*P1 + (3.f*t3-5.f*t2+2.f)*P2 + (-3.f*t3+4.f*t2+t)*P3 + (t3-t2)*P4); pointList.push_back(P); } } /** * Template control point for KochanekBartels's splines */ template <class T> struct KochanekBartelsSplineControlPoint { /// Position of the control point T position; /// Tension of the control point Ogre::Real tension; /// Bias of the control point Ogre::Real bias; /// Continuity of the control point Ogre::Real continuity; /// Constructor with arguments KochanekBartelsSplineControlPoint(const T& p, Ogre::Real t, Ogre::Real b, Ogre::Real c) : position(p), tension(t), bias(b), continuity(c) {} /// Constructor with tension=bias=continuity=0 KochanekBartelsSplineControlPoint(const T& p) : position(p), tension(0.), bias(0.), continuity(0.) {} }; template<class T> void computeKochanekBartelsPoints(const KochanekBartelsSplineControlPoint<T>& P1, const KochanekBartelsSplineControlPoint<T>& P2, const KochanekBartelsSplineControlPoint<T>& P3, const KochanekBartelsSplineControlPoint<T>& P4, unsigned int numSeg, std::vector<T>& pointList) { Ogre::Vector2 m0 = (1-P2.tension)*(1+P2.bias)*(1+P2.continuity)/2.f*(P2.position-P1.position)+(1-P2.tension)*(1-P2.bias)*(1-P2.continuity)/2.f*(P3.position-P2.position); Ogre::Vector2 m1 = (1-P3.tension)*(1+P3.bias)*(1-P3.continuity)/2.f*(P3.position-P2.position)+(1-P3.tension)*(1-P3.bias)*(1+P3.continuity)/2.f*(P4.position-P3.position); for (unsigned int j = 0;j < numSeg; ++j) { Ogre::Real t = (Ogre::Real)j/(Ogre::Real)numSeg; Ogre::Real t2 = t*t; Ogre::Real t3 = t2*t; T P = (2*t3-3*t2+1)*P2.position+(t3-2*t2+t)*m0+(-2*t3+3*t2)*P3.position+(t3-t2)*m1; pointList.push_back(P); } } } #endif