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Diffstat (limited to 'thirdparty/bullet/BulletDynamics/MLCPSolvers/btLemkeSolver.h')
-rw-r--r-- | thirdparty/bullet/BulletDynamics/MLCPSolvers/btLemkeSolver.h | 350 |
1 files changed, 350 insertions, 0 deletions
diff --git a/thirdparty/bullet/BulletDynamics/MLCPSolvers/btLemkeSolver.h b/thirdparty/bullet/BulletDynamics/MLCPSolvers/btLemkeSolver.h new file mode 100644 index 0000000000..98484c3796 --- /dev/null +++ b/thirdparty/bullet/BulletDynamics/MLCPSolvers/btLemkeSolver.h @@ -0,0 +1,350 @@ +/* +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_LEMKE_SOLVER_H +#define BT_LEMKE_SOLVER_H + + +#include "btMLCPSolverInterface.h" +#include "btLemkeAlgorithm.h" + + + + +///The btLemkeSolver is based on "Fast Implementation of Lemke’s Algorithm for Rigid Body Contact Simulation (John E. Lloyd) " +///It is a slower but more accurate solver. Increase the m_maxLoops for better convergence, at the cost of more CPU time. +///The original implementation of the btLemkeAlgorithm was done by Kilian Grundl from the MBSim team +class btLemkeSolver : public btMLCPSolverInterface +{ +protected: + +public: + + btScalar m_maxValue; + int m_debugLevel; + int m_maxLoops; + bool m_useLoHighBounds; + + + + btLemkeSolver() + :m_maxValue(100000), + m_debugLevel(0), + m_maxLoops(1000), + m_useLoHighBounds(true) + { + } + 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 (m_useLoHighBounds) + { + + BT_PROFILE("btLemkeSolver::solveMLCP"); + int n = A.rows(); + if (0==n) + return true; + + bool fail = false; + + btVectorXu solution(n); + btVectorXu q1; + q1.resize(n); + for (int row=0;row<n;row++) + { + q1[row] = -b[row]; + } + + // cout << "A" << endl; + // cout << A << endl; + + ///////////////////////////////////// + + //slow matrix inversion, replace with LU decomposition + btMatrixXu A1; + btMatrixXu B(n,n); + { + BT_PROFILE("inverse(slow)"); + A1.resize(A.rows(),A.cols()); + for (int row=0;row<A.rows();row++) + { + for (int col=0;col<A.cols();col++) + { + A1.setElem(row,col,A(row,col)); + } + } + + btMatrixXu matrix; + matrix.resize(n,2*n); + for (int row=0;row<n;row++) + { + for (int col=0;col<n;col++) + { + matrix.setElem(row,col,A1(row,col)); + } + } + + + btScalar ratio,a; + int i,j,k; + for(i = 0; i < n; i++){ + for(j = n; j < 2*n; j++){ + if(i==(j-n)) + matrix.setElem(i,j,1.0); + else + matrix.setElem(i,j,0.0); + } + } + for(i = 0; i < n; i++){ + for(j = 0; j < n; j++){ + if(i!=j) + { + btScalar v = matrix(i,i); + if (btFuzzyZero(v)) + { + a = 0.000001f; + } + ratio = matrix(j,i)/matrix(i,i); + for(k = 0; k < 2*n; k++){ + matrix.addElem(j,k,- ratio * matrix(i,k)); + } + } + } + } + for(i = 0; i < n; i++){ + a = matrix(i,i); + if (btFuzzyZero(a)) + { + a = 0.000001f; + } + btScalar invA = 1.f/a; + for(j = 0; j < 2*n; j++){ + matrix.mulElem(i,j,invA); + } + } + + + + + + for (int row=0;row<n;row++) + { + for (int col=0;col<n;col++) + { + B.setElem(row,col,matrix(row,n+col)); + } + } + } + + btMatrixXu b1(n,1); + + btMatrixXu M(n*2,n*2); + for (int row=0;row<n;row++) + { + b1.setElem(row,0,-b[row]); + for (int col=0;col<n;col++) + { + btScalar v =B(row,col); + M.setElem(row,col,v); + M.setElem(n+row,n+col,v); + M.setElem(n+row,col,-v); + M.setElem(row,n+col,-v); + + } + } + + btMatrixXu Bb1 = B*b1; +// q = [ (-B*b1 - lo)' (hi + B*b1)' ]' + + btVectorXu qq; + qq.resize(n*2); + for (int row=0;row<n;row++) + { + qq[row] = -Bb1(row,0)-lo[row]; + qq[n+row] = Bb1(row,0)+hi[row]; + } + + btVectorXu z1; + + btMatrixXu y1; + y1.resize(n,1); + btLemkeAlgorithm lemke(M,qq,m_debugLevel); + { + BT_PROFILE("lemke.solve"); + lemke.setSystem(M,qq); + z1 = lemke.solve(m_maxLoops); + } + for (int row=0;row<n;row++) + { + y1.setElem(row,0,z1[2*n+row]-z1[3*n+row]); + } + btMatrixXu y1_b1(n,1); + for (int i=0;i<n;i++) + { + y1_b1.setElem(i,0,y1(i,0)-b1(i,0)); + } + + btMatrixXu x1; + + x1 = B*(y1_b1); + + for (int row=0;row<n;row++) + { + solution[row] = x1(row,0);//n]; + } + + int errorIndexMax = -1; + int errorIndexMin = -1; + float errorValueMax = -1e30; + float errorValueMin = 1e30; + + for (int i=0;i<n;i++) + { + x[i] = solution[i]; + volatile btScalar check = x[i]; + if (x[i] != check) + { + //printf("Lemke result is #NAN\n"); + x.setZero(); + return false; + } + + //this is some hack/safety mechanism, to discard invalid solutions from the Lemke solver + //we need to figure out why it happens, and fix it, or detect it properly) + if (x[i]>m_maxValue) + { + if (x[i]> errorValueMax) + { + fail = true; + errorIndexMax = i; + errorValueMax = x[i]; + } + ////printf("x[i] = %f,",x[i]); + } + if (x[i]<-m_maxValue) + { + if (x[i]<errorValueMin) + { + errorIndexMin = i; + errorValueMin = x[i]; + fail = true; + //printf("x[i] = %f,",x[i]); + } + } + } + if (fail) + { + int m_errorCountTimes = 0; + if (errorIndexMin<0) + errorValueMin = 0.f; + if (errorIndexMax<0) + errorValueMax = 0.f; + m_errorCountTimes++; + // printf("Error (x[%d] = %f, x[%d] = %f), resetting %d times\n", errorIndexMin,errorValueMin, errorIndexMax, errorValueMax, errorCountTimes++); + for (int i=0;i<n;i++) + { + x[i]=0.f; + } + } + return !fail; + } else + + { + int dimension = A.rows(); + if (0==dimension) + return true; + +// printf("================ solving using Lemke/Newton/Fixpoint\n"); + + btVectorXu q; + q.resize(dimension); + for (int row=0;row<dimension;row++) + { + q[row] = -b[row]; + } + + btLemkeAlgorithm lemke(A,q,m_debugLevel); + + + lemke.setSystem(A,q); + + btVectorXu solution = lemke.solve(m_maxLoops); + + //check solution + + bool fail = false; + int errorIndexMax = -1; + int errorIndexMin = -1; + float errorValueMax = -1e30; + float errorValueMin = 1e30; + + for (int i=0;i<dimension;i++) + { + x[i] = solution[i+dimension]; + volatile btScalar check = x[i]; + if (x[i] != check) + { + x.setZero(); + return false; + } + + //this is some hack/safety mechanism, to discard invalid solutions from the Lemke solver + //we need to figure out why it happens, and fix it, or detect it properly) + if (x[i]>m_maxValue) + { + if (x[i]> errorValueMax) + { + fail = true; + errorIndexMax = i; + errorValueMax = x[i]; + } + ////printf("x[i] = %f,",x[i]); + } + if (x[i]<-m_maxValue) + { + if (x[i]<errorValueMin) + { + errorIndexMin = i; + errorValueMin = x[i]; + fail = true; + //printf("x[i] = %f,",x[i]); + } + } + } + if (fail) + { + static int errorCountTimes = 0; + if (errorIndexMin<0) + errorValueMin = 0.f; + if (errorIndexMax<0) + errorValueMax = 0.f; + printf("Error (x[%d] = %f, x[%d] = %f), resetting %d times\n", errorIndexMin,errorValueMin, errorIndexMax, errorValueMax, errorCountTimes++); + for (int i=0;i<dimension;i++) + { + x[i]=0.f; + } + } + + + return !fail; + } + return true; + + } + +}; + +#endif //BT_LEMKE_SOLVER_H |