111 lines
		
	
	
		
			3.2 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
			
		
		
	
	
			111 lines
		
	
	
		
			3.2 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
/*
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Bullet Continuous Collision Detection and Physics Library
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Copyright (c) 2003-2013 Erwin Coumans  http://bulletphysics.org
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This software is provided 'as-is', without any express or implied warranty.
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In no event will the authors be held liable for any damages arising from the use of this software.
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Permission is granted to anyone to use this software for any purpose, 
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including commercial applications, and to alter it and redistribute it freely, 
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subject to the following restrictions:
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1. The origin of this software must not be misrepresented; you must not claim that you wrote the original software. If you use this software in a product, an acknowledgment in the product documentation would be appreciated but is not required.
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2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software.
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3. This notice may not be removed or altered from any source distribution.
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*/
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///original version written by Erwin Coumans, October 2013
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#ifndef BT_SOLVE_PROJECTED_GAUSS_SEIDEL_H
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#define BT_SOLVE_PROJECTED_GAUSS_SEIDEL_H
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#include "btMLCPSolverInterface.h"
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///This solver is mainly for debug/learning purposes: it is functionally equivalent to the btSequentialImpulseConstraintSolver solver, but much slower (it builds the full LCP matrix)
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class btSolveProjectedGaussSeidel : public btMLCPSolverInterface
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{
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public:
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	btScalar m_leastSquaresResidualThreshold;
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	btScalar m_leastSquaresResidual;
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	btSolveProjectedGaussSeidel()
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		:m_leastSquaresResidualThreshold(0),
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		m_leastSquaresResidual(0)
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	{
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	}
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	virtual bool solveMLCP(const btMatrixXu & A, const btVectorXu & b, btVectorXu& x, const btVectorXu & lo,const btVectorXu & hi,const btAlignedObjectArray<int>& limitDependency, int numIterations, bool useSparsity = true)
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	{
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		if (!A.rows())
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			return true;
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		//the A matrix is sparse, so compute the non-zero elements
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		A.rowComputeNonZeroElements();
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		//A is a m-n matrix, m rows, n columns
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		btAssert(A.rows() == b.rows());
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		int i, j, numRows = A.rows();
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		btScalar delta;
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		for (int k = 0; k <numIterations; k++)
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		{
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			m_leastSquaresResidual = 0.f;
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			for (i = 0; i <numRows; i++)
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			{
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				delta = 0.0f;
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				if (useSparsity)
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				{
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					for (int h=0;h<A.m_rowNonZeroElements1[i].size();h++)
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					{
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						int j = A.m_rowNonZeroElements1[i][h];
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						if (j != i)//skip main diagonal
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						{
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							delta += A(i,j) * x[j];
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						}
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					}
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				} else
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				{
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					for (j = 0; j <i; j++) 
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						delta += A(i,j) * x[j];
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					for (j = i+1; j<numRows; j++) 
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						delta += A(i,j) * x[j];
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				}
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				btScalar aDiag = A(i,i);
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				btScalar xOld = x[i];
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				x [i] = (b [i] - delta) / aDiag;
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				btScalar s = 1.f;
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				if (limitDependency[i]>=0)
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				{
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					s = x[limitDependency[i]];
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					if (s<0)
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						s=1;
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				}
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				if (x[i]<lo[i]*s)
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					x[i]=lo[i]*s;
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				if (x[i]>hi[i]*s)
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					x[i]=hi[i]*s;
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				btScalar diff = x[i] - xOld;
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				m_leastSquaresResidual += diff*diff;
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			}
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			btScalar eps  = m_leastSquaresResidualThreshold;
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			if ((m_leastSquaresResidual < eps) || (k >=(numIterations-1)))
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			{
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#ifdef VERBOSE_PRINTF_RESIDUAL
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				printf("totalLenSqr = %f at iteration #%d\n", m_leastSquaresResidual,k);
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#endif
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				break;
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			}
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		}
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		return true;
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	}
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};
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#endif //BT_SOLVE_PROJECTED_GAUSS_SEIDEL_H
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