📄 mgcbezierrectangle3g.h
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// Magic Software, Inc.
// http://www.magic-software.com
// Copyright (c) 2000, All Rights Reserved
//
// Source code from Magic Software is supplied under the terms of a license
// agreement and may not be copied or disclosed except in accordance with the
// terms of that agreement. The various license agreements may be found at
// the Magic Software web site. This file is subject to the license
//
// FREE SOURCE CODE
// http://www.magic-software.com/License/free.pdf
#ifndef MGCBEZIERRECTANGLE3G_H
#define MGCBEZIERRECTANGLE3G_H
#include "MgcBezierRectangleG.h"
#include "MgcVector3.h"
class MgcBezierRectangle3G : public MgcBezierRectangleG
{
public:
// Construction. MgcBezierRectangle3G accepts responsibility for deleting
// the input array.
MgcBezierRectangle3G (MgcVector3* akCtrlPoint);
// position and derivatives up to second order
virtual MgcVector3 GetPosition (MgcReal fU, MgcReal fV) const;
virtual MgcVector3 GetDerivativeU (MgcReal fU, MgcReal fV) const;
virtual MgcVector3 GetDerivativeV (MgcReal fU, MgcReal fV) const;
virtual MgcVector3 GetDerivativeUU (MgcReal fU, MgcReal fV) const;
virtual MgcVector3 GetDerivativeUV (MgcReal fU, MgcReal fV) const;
virtual MgcVector3 GetDerivativeVV (MgcReal fU, MgcReal fV) const;
// tessellation by recursive subdivision
virtual void Tessellate (unsigned int uiLevel, bool bWantNormals);
protected:
// precomputation
class BlockParameters
{
public:
unsigned int m_uiI00, m_uiI01, m_uiI10, m_uiI11;
// Xuuu(0,0), Xuuu(0,1), Xuuu(1,0) = Xuuu(0,0), Xuuu(1,1) = Xuuu(0,1)
MgcVector3 m_akXuuu[2];
// Xvvv(0,0), Xvvv(1,0), Xvvv(0,1) = Xvvv(0,0), Xvvv(1,1) = Xvvv(1,0)
MgcVector3 m_akXvvv[2];
// Xuuuvv(0,0), Xuuuvv(0,1), Xuuuvv(1,0) = Xuuuvv(0,0),
// Xuuuvv(1,1) = Xuuuvv(0,1)
MgcVector3 m_akXuuuvv[2];
// Xuuvvv(0,0), Xuuvvv(1,0), Xuuvvv(0,1) = Xuuvvv(0,0),
// Xuuvvv(1,1) = Xuuvvv(1,0)
MgcVector3 m_akXuuvvv[2];
MgcVector3 m_aakXuu[2][2], m_aakXvv[2][2], m_aakXuuvv[2][2],
m_aakXuuv[2][2], m_aakXuvv[2][2];
};
// subdivide rectangle into four quadrants
void Subdivide (unsigned int uiLevel, MgcReal fDSqr, MgcVector3* akX,
MgcVector3* akXs, MgcVector3* akXt, BlockParameters& rkBP);
};
#endif
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