reactphysics3d/sources/mathematics/lcp/LCPProjectedGaussSeidel.cpp
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/********************************************************************************
* ReactPhysics3D physics library, http://code.google.com/p/reactphysics3d/ *
* Copyright (c) 2010 Daniel Chappuis *
*********************************************************************************
* *
* Permission is hereby granted, free of charge, to any person obtaining a copy *
* of this software and associated documentation files (the "Software"), to deal *
* in the Software without restriction, including without limitation the rights *
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell *
* copies of the Software, and to permit persons to whom the Software is *
* furnished to do so, subject to the following conditions: *
* *
* The above copyright notice and this permission notice shall be included in *
* all copies or substantial portions of the Software. *
* *
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR *
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, *
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE *
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER *
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, *
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN *
* THE SOFTWARE. *
********************************************************************************/
// Libraries
#include "LCPProjectedGaussSeidel.h"
#include <cmath>
using namespace reactphysics3d;
// Constructor
LCPProjectedGaussSeidel::LCPProjectedGaussSeidel(uint maxIterations)
:LCPSolver(maxIterations) {
}
// Destructor
LCPProjectedGaussSeidel::~LCPProjectedGaussSeidel() {
}
// Solve a LCP problem using the Projected-Gauss-Seidel algorithm
// This method outputs the result in the lambda vector
void LCPProjectedGaussSeidel::solve(Matrix** J_sp, Matrix** B_sp, uint nbConstraints,
uint nbBodies, Body*** const bodyMapping, std::map<Body*, uint> bodyNumberMapping,
const Vector& b, const Vector& lowLimits, const Vector& highLimits, Vector& lambda) const {
lambda = lambdaInit;
double* d = new double[nbConstraints]; // TODO : Avoid those kind of memory allocation here for optimization (allocate once in the object)
uint indexBody1, indexBody2;
double deltaLambda;
double lambdaTemp;
uint i, iter;
Vector* a = new Vector[nbBodies]; // Array that contains nbBodies vector of dimension 6x1
for (i=0; i<nbBodies; i++) {
a[i].changeSize(6);
}
// Compute the vector a
computeVectorA(lambda, nbConstraints, bodyMapping, B_sp, bodyNumberMapping, a, nbBodies);
// For each constraint
for (i=0; i<nbConstraints; i++) {
d[i] = (J_sp[i][0] * B_sp[0][i] + J_sp[i][1] * B_sp[1][i]).getValue(0,0);
}
for(iter=0; iter<maxIterations; iter++) {
for (i=0; i<nbConstraints; i++) {
indexBody1 = bodyNumberMapping[bodyMapping[i][0]];
indexBody2 = bodyNumberMapping[bodyMapping[i][1]];
deltaLambda = (b.getValue(i) - (J_sp[i][0] * a[indexBody1]).getValue(0,0) - (J_sp[i][1] * a[indexBody2]).getValue(0,0)) / d[i];
lambdaTemp = lambda.getValue(i);
lambda.setValue(i, std::max(lowLimits.getValue(i), std::min(lambda.getValue(i) + deltaLambda, highLimits.getValue(i))));
deltaLambda = lambda.getValue(i) - lambdaTemp;
a[indexBody1] = a[indexBody1] + (B_sp[0][i] * deltaLambda).getVector();
a[indexBody2] = a[indexBody2] + (B_sp[1][i] * deltaLambda).getVector();
}
}
// Clean
delete[] d;
delete[] a;
}
// Compute the vector a used in the solve() method
// Note that a = B * lambda
void LCPProjectedGaussSeidel::computeVectorA(const Vector& lambda, uint nbConstraints, Body*** const bodyMapping,
Matrix** B_sp, std::map<Body*, uint> bodyNumberMapping,
Vector* const a, uint nbBodies) const {
uint i;
uint indexBody1, indexBody2;
// Init the vector a with zero values
for (i=0; i<nbBodies; i++) {
a[i].initWithValue(0.0);
}
for(i=0; i<nbConstraints; i++) {
indexBody1 = bodyNumberMapping[bodyMapping[i][0]];
indexBody2 = bodyNumberMapping[bodyMapping[i][1]];
a[indexBody1] = a[indexBody1] + (B_sp[0][i].getVector() * lambda.getValue(i));
a[indexBody2] = a[indexBody2] + (B_sp[1][i].getVector() * lambda.getValue(i));
}
}