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