Recovered from microbel
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156
common/lib/utils/spline.C
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156
common/lib/utils/spline.C
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/*
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* PVVMUD a 3D MUD
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* Copyright (C) 1998-1999 Programvareverkstedet (pvv@pvv.org)
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2 of the License, or
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* (at your option) any later version.
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*
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* This program 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 General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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*
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*/
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#include "pvvmud.H"
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#include "spline.H"
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////////////////////////////////////////////////////////////////////////////////
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//
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// CSpline
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//
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////////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////////
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// Constructor
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CSpline::CSpline(CMatrix * basis){
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m_basis = basis;
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m_basis->transpose();
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}
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////////////////////////////////////////////////////////////////////////////////
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// interpolate
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CVector CSpline::interpolate(double time, ControlVector_t * controlVector){
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int size = (*controlVector).size();
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if (size < 4) return CVector(0.0,0.0,0.0);
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double numSeg = floor(size/4);
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double seg = floor(numSeg*time) ;
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if (seg == numSeg) seg--;
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int start = (int)seg*4;
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time = time*numSeg - seg;
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CMatrix control((*controlVector)[start],(*controlVector)[start+1],
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(*controlVector)[start+2],(*controlVector)[start+3]);
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return interpolate(time,control);
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}
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////////////////////////////////////////////////////////////////////////////////
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// interpolate
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CVector CSpline::interpolate(double time, CMatrix & control){
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CMatrix coefficients = control*(*m_basis);
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CVector u(time*time*time,time*time,time,1);
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return coefficients*u;
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}
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////////////////////////////////////////////////////////////////////////////////
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//
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// CCatmulRom
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//
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////////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////////
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// Constructor
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CCatmullRom::CCatmullRom(double s)
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:CSpline(new CMatrix( -s, 2.0-s, s-2.0, s,
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2.0*s, s-3.0, 3.0-2.0*s, -s,
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-s, 0.0, s, 0.0,
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0.0, 1.0, 0.0, 0.0))
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{
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}
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////////////////////////////////////////////////////////////////////////////////
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// addControlVector
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void CCatmullRom::addControlVector(CKeyFrame * keyFrame,
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const ControlVector_t & controlVector)
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{
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for (int index = 0; index < (controlVector.size()-3); index++){
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keyFrame->addControlVector(controlVector[index]);
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keyFrame->addControlVector(controlVector[index+1]);
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keyFrame->addControlVector(controlVector[index+2]);
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keyFrame->addControlVector(controlVector[index+3]);
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}
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}
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////////////////////////////////////////////////////////////////////////////////
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//
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// Bezier
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//
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////////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////////
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// Constructor
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CBezier::CBezier():CSpline(&m_bezier){
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}
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////////////////////////////////////////////////////////////////////////////////
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// addControlVector
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void CBezier::addControlVector(CKeyFrame * keyFrame,
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const ControlVector_t & controlVector)
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{
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for (int index = 0; index < ((controlVector.size()-4)/3 +1); index++){
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keyFrame->addControlVector(controlVector[index*3]);
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keyFrame->addControlVector(controlVector[index*3+1]);
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keyFrame->addControlVector(controlVector[index*3+2]);
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keyFrame->addControlVector(controlVector[index*3+3]);
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}
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}
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////////////////////////////////////////////////////////////////////////////////
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// static basis
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CMatrix CBezier::m_bezier( -1.0, 3.0, -3.0, 1.0,
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3.0, -6.0, 3.0, 0.0,
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-3.0, 3.0, 0.0, 0.0,
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1.0, 0.0, 0.0, 0.0);
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////////////////////////////////////////////////////////////////////////////////
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//
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// Hermite
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//
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////////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////////
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// Constructor
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CHermite::CHermite():CSpline(&m_hermite){
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}
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////////////////////////////////////////////////////////////////////////////////
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// addControlVector
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void CHermite::addControlVector(CKeyFrame * keyFrame,
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const ControlVector_t & controlVector)
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{
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for (int index = 0; index < ((controlVector.size()-4)/2 +1); index++){
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keyFrame->addControlVector(controlVector[index*2]);
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keyFrame->addControlVector(controlVector[index*2+2]);
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keyFrame->addControlVector(controlVector[index*2+1]);
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keyFrame->addControlVector(controlVector[index*2+3]);
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}
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}
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////////////////////////////////////////////////////////////////////////////////
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// static basis
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CMatrix CHermite::m_hermite( 2.0, -2.0, 1.0, 1.0,
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-3.0, 3.0, -2.0, -1.0,
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0.0, 0.0, 1.0, 0.0,
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1.0, 0.0, 0.0, 0.0);
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