Glenn Maynard
a62788fb9f
bezier curves.
The "bouncebegin" and "bounceend" tweens are now implemented in Lua,
using 2D beziers which approximate the old behavior very closely.
Added "ease" tween, which works like Flash's.
Custom tweens can be used, passing in a table of 4 values for a
1D bezier, or 8 values for 2D.
tween,.5,TweenBezier,{ 0, p1, p2, 1 }
tween,.5,TweenBezier,{ 0, 0, x1, y1, x2, y2, 1, 1 }
As with all tweens, the first parameter is the duration.
The 1D bezier { a, b, c, d } is equivalent to the 2D bezier
{ 0, a, 1/3, b, 2/3, c, 1, d }, but a 1D bezier is more efficient.
111 lines
4.6 KiB
C++
111 lines
4.6 KiB
C++
/* RageMath - vector/matrix math utilities. */
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#ifndef RAGE_MATH_H
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#define RAGE_MATH_H
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#define PI (3.141592653589793f)
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#define DegreeToRadian( degree ) ((degree) * (PI / 180.0f))
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#define RadianToDegree( radian ) ((radian) * (180.0f / PI))
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struct RageVector2;
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struct RageVector3;
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struct RageVector4;
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struct RageMatrix;
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void RageVec3ClearBounds( RageVector3 &mins, RageVector3 &maxs );
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void RageVec3AddToBounds( const RageVector3 &p, RageVector3 &mins, RageVector3 &maxs );
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void RageVec2Normalize( RageVector2* pOut, const RageVector2* pV );
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void RageVec3Normalize( RageVector3* pOut, const RageVector3* pV );
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void RageVec3TransformCoord( RageVector3* pOut, const RageVector3* pV, const RageMatrix* pM );
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void RageVec3TransformNormal( RageVector3* pOut, const RageVector3* pV, const RageMatrix* pM );
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void RageVec4TransformCoord( RageVector4* pOut, const RageVector4* pV, const RageMatrix* pM );
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void RageMatrixIdentity( RageMatrix* pOut );
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// pOut = pB * pA
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void RageMatrixMultiply( RageMatrix* pOut, const RageMatrix* pA, const RageMatrix* pB );
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void RageMatrixTranslation( RageMatrix* pOut, float x, float y, float z );
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void RageMatrixScaling( RageMatrix* pOut, float x, float y, float z );
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void RageMatrixSkewX( RageMatrix* pOut, float fAmount );
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void RageMatrixTranslate( RageMatrix* pOut, float fTransX, float fTransY, float fTransZ );
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void RageMatrixScale( RageMatrix* pOut, float fScaleX, float fScaleY, float fScaleZ );
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void RageMatrixRotationX( RageMatrix* pOut, float fTheta );
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void RageMatrixRotationY( RageMatrix* pOut, float fTheta );
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void RageMatrixRotationZ( RageMatrix* pOut, float fTheta );
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void RageMatrixRotationXYZ( RageMatrix* pOut, float rX, float rY, float rZ );
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void RageQuatFromHPR(RageVector4* pOut, RageVector3 hpr );
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void RageQuatFromPRH(RageVector4* pOut, RageVector3 prh );
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void RageMatrixFromQuat( RageMatrix* pOut, const RageVector4 q );
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void RageQuatSlerp(RageVector4 *pOut, const RageVector4 &from, const RageVector4 &to, float t);
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RageVector4 RageQuatFromH(float theta);
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RageVector4 RageQuatFromP(float theta);
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RageVector4 RageQuatFromR(float theta);
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void RageQuatMultiply( RageVector4* pOut, const RageVector4 &pA, const RageVector4 &pB );
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RageMatrix RageLookAt(
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float eyex, float eyey, float eyez,
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float centerx, float centery, float centerz,
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float upx, float upy, float upz );
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void RageMatrixAngles( RageMatrix* pOut, const RageVector3 &angles );
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void RageMatrixTranspose( RageMatrix* pOut, const RageMatrix* pIn );
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float RageFastSin( float x ) CONST_FUNCTION;
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float RageFastCos( float x ) CONST_FUNCTION;
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class RageQuadradtic
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{
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public:
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void SetFromBezier( float fC1, float fC2, float fC3, float fC4 );
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void GetBezier( float &fC1, float &fC2, float &fC3, float &fC4 ) const;
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float Evaluate( float fT ) const;
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float GetSlope( float fT ) const;
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/* Equivalent to Evaluate(0.0f) and Evaluate(1.0f), but faster: */
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float GetBezierStart() const { return m_fD; }
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float GetBezierEnd() const { return m_fA + m_fB + m_fC + m_fD; }
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private:
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float m_fA, m_fB, m_fC, m_fD;
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};
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class RageBezier2D
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{
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public:
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void SetFromBezier( float fC1X, float fC2X, float fC3X, float fC4X,
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float fC1Y, float fC2Y, float fC3Y, float fC4Y );
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void Evaluate( float fT, float *pX, float *pY ) const;
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float EvaluateYFromX( float fX ) const;
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private:
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RageQuadradtic m_X;
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RageQuadradtic m_Y;
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};
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#endif
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/*
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* Copyright (c) 2001-2006 Chris Danford, Glenn Maynard
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* All rights reserved.
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*
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* Permission is hereby granted, free of charge, to any person obtaining a
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* copy of this software and associated documentation files (the
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* "Software"), to deal in the Software without restriction, including
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* without limitation the rights to use, copy, modify, merge, publish,
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* distribute, and/or sell copies of the Software, and to permit persons to
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* whom the Software is furnished to do so, provided that the above
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* copyright notice(s) and this permission notice appear in all copies of
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* the Software and that both the above copyright notice(s) and this
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* permission notice appear in supporting documentation.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
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* OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
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* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT OF
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* THIRD PARTY RIGHTS. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR HOLDERS
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* INCLUDED IN THIS NOTICE BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL INDIRECT
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* OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS
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* OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR
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* OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
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* PERFORMANCE OF THIS SOFTWARE.
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*/
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