int main(int argc, const char *argv[])
{
float x1, y1, x2, y2;
while (scanf("%f %f %f %f", &x1, &y1, &x2, &y2)) {
printf("%.2f\n", sqrt(sqare(x1 - x2) + sqare(y1 - y2)));
}
return 0;
}
LaplacianOperator::LaplacianOperator( ObjEntity* mesh,MeshDrawerImpl* drawer ):mState(STATE_CHOOSING_STATIC),OperatorImpl(mesh,drawer)
{
mVerticesController = new VerticesController(mesh,drawer);
assert(mesh != nullptr);
clock_t clock_start;
clock_start = clock();
mMeshVertexCount = mesh->getVertexCount();
initAdjacentMatrix();
// printMatrix(adjacentMatrix,"adjacentMatrix");
// printMatrix(degreeMatrix,"degreeMatrix");
Eigen::SparseMatrix<double> laplacianOperator;
computeLaplacianOperator(laplacianOperator);
#ifdef MY_DEBUG
ofstream out("debug.txt",ios::app);
out << "laplacianOperator:";
for (Eigen::SparseMatrix<double>::InnerIterator it(laplacianOperator,283); it; it++)
{
out << it.row() << ' ';
}
out << endl;
#endif // MY_DEBUG
//printMatrix(laplacianOperator,"laplacianOperator");
Eigen::Matrix<double,Eigen::Dynamic,3> verInput(mMeshVertexCount,3);
for (int i = 0; i < mMeshVertexCount; i++)
{
Vertex* v = mesh->m_vertexList->at(i);
verInput(i,0) = v->x; verInput(i,1) = v->y; verInput(i,2) = v->z;
}
Eigen::Matrix<double,Eigen::Dynamic,3> deltaInput = laplacianOperator * verInput;
#ifdef MY_DEBUG
out << "verInput 283:" << verInput(283,0) << ' ' << verInput(283,1) << ' ' << verInput(283,2) << endl;
out << "deltaInput 283:" << deltaInput(283,0) << ' ' << deltaInput(283,1) << ' ' << deltaInput(283,2) << endl;
#endif // MY_DEBUG
//printMatrix(deltaInput,"deltaInput");
Eigen::SparseMatrix<double> laplacianOperator3D(6*mMeshVertexCount,3*mMeshVertexCount);
laplacianOperator3D.reserve(Eigen::VectorXi::Constant(3*mMeshVertexCount,40));
//Eigen::MatrixXd laplacianOperator(laplacianOperator);
vector<Vertex*>* meshVertex = mesh->m_vertexList;
/* operate laplacianOperator3D */
for (int i = 0; i < mMeshVertexCount; i++)
{
//printf("%d ",i);
/* Generate Matrix A*/
Vertex* v = meshVertex->at(i);
vector<Vertex*> vertexInA;
vertexInA.push_back(v);
vector<int> adjIndex;
getAdjVertex(i,adjIndex);
for (int j = 0; j < adjIndex.size(); j++)
{
vertexInA.push_back(meshVertex->at(adjIndex.at(j)));
}
Eigen::Matrix<double,Eigen::Dynamic,7> matrixA;
matrixA.resize(vertexInA.size()*3,7);
for (int j = 0; j < vertexInA.size(); j++)
{
Eigen::Matrix<double,3,7> m;
constructMatrix(vertexInA.at(j),m);
int r = matrixA.rows();
matrixA.middleRows<3>(j*3) = m;
// printMatrix(m,"m");
}
Eigen::Matrix<double,7,Eigen::Dynamic> pinvA;
/* 当该顶点是孤立的的时候，transposeA*matrixA可能是奇异的，因此pinv就会出现-1.#IND*/
if(adjIndex.size() == 0)
{
pinvA.resize(7,3);
pinvA.setZero();
}
else
{
Eigen::Matrix<double,7,Eigen::Dynamic> transposeA = matrixA.transpose();
pinvA = (transposeA * matrixA).inverse()*transposeA;
}
#ifdef MY_DEBUG
cout << "MatrixA" << endl << matrixA << endl << endl << "PinvA:" << endl;
cout << pinvA << endl;
ofstream sqare("transposeAmatrixA.txt");
sqare << (transposeA * matrixA) << endl << endl;
sqare << (transposeA * matrixA).inverse() << endl;
sqare.close();
#endif // MY_DEBUG
Eigen::Matrix<double,1,Eigen::Dynamic> s = pinvA.row(0);
Eigen::Matrix<double,1,Eigen::Dynamic> h1 = pinvA.row(1);
Eigen::Matrix<double,1,Eigen::Dynamic> h2 = pinvA.row(2);
Eigen::Matrix<double,1,Eigen::Dynamic> h3 = pinvA.row(3);
Eigen::Matrix<double,1,Eigen::Dynamic> TDeltaX = s*deltaInput(i,0)-h3*deltaInput(i,1)+h2*deltaInput(i,2);
Eigen::Matrix<double,1,Eigen::Dynamic> TDeltaY = h3*deltaInput(i,0)+s*deltaInput(i,1)-h1*deltaInput(i,2);
Eigen::Matrix<double,1,Eigen::Dynamic> TDeltaZ = -h2*deltaInput(i,0)-h1*deltaInput(i,1)+s*deltaInput(i,2);
Eigen::Matrix<double,3,Eigen::Dynamic> TDelta;
TDelta.resize(3,TDeltaX.cols());
TDelta.row(0) = TDeltaX; TDelta.row(1) = TDeltaY; TDelta.row(2) = TDeltaZ;
for (int j = 0; j < 3; j++)
{
int opRow = j*mMeshVertexCount+i;
laplacianOperator3D.insert(opRow,i) = j == 0 ? -TDelta(j,0) + laplacianOperator.coeff(i,i) : -TDelta(j,0);
laplacianOperator3D.insert(opRow,i+mMeshVertexCount) = j == 1 ? -TDelta(j,1) + laplacianOperator.coeff(i,i) : -TDelta(j,1);
laplacianOperator3D.insert(opRow,i+2*mMeshVertexCount) = j == 2 ? -TDelta(j,2) + laplacianOperator.coeff(i,i) : -TDelta(j,2);
int curTDeltaCol = 3;
for (int a = 0; a < adjIndex.size(); a++)
{
int adj = adjIndex.at(a);
laplacianOperator3D.insert(opRow,adj) = j == 0 ? -TDelta(j,curTDeltaCol++) + laplacianOperator.coeff(i,adj) : -TDelta(j,curTDeltaCol++);
laplacianOperator3D.insert(opRow,adj+mMeshVertexCount) = j == 1 ? -TDelta(j,curTDeltaCol++) + laplacianOperator.coeff(i,adj) : -TDelta(j,curTDeltaCol++);
laplacianOperator3D.insert(opRow,adj+2*mMeshVertexCount) = j == 2 ? -TDelta(j,curTDeltaCol++) + laplacianOperator.coeff(i,adj) : -TDelta(j,curTDeltaCol++);
}
}
}
#ifdef MY_DEBUG
ofstream outL3d("laplacianOperator3D.txt");
outL3d << laplacianOperator3D << endl;
outL3d.close();
#endif
int mMeshVertexCount_X3 = 3*mMeshVertexCount;
Eigen::SparseMatrix<double>& A_prime = laplacianOperator3D;
// printMatrix(laplacianOperator3D,"laplacianOperator3D");
// printMatrix(A_prime,"A_prime");
int offset = 0;
for(int j = 0; j < mMeshVertexCount_X3; j+=3)
{
A_prime.insert(mMeshVertexCount_X3+j,offset) = 1;
A_prime.insert(mMeshVertexCount_X3+j+1,offset+mMeshVertexCount) = 1;
A_prime.insert(mMeshVertexCount_X3+j+2,offset+2*mMeshVertexCount) = 1;
offset++;
}
Eigen::VectorXd b(mMeshVertexCount_X3*2);
b.setZero();
int ret;
defoMesh = ObjUtility::createObjEntity("defo.obj",ret);
vector<Vertex*>* defoVertex = defoMesh->m_vertexList;
int defoSize = defoVertex->size();
int nodefoSize = mMeshVertexCount;
for (int j = 0; j < mMeshVertexCount; j++)
{
b(mMeshVertexCount_X3+3*j) = defoVertex->at(j)->x;
b(mMeshVertexCount_X3+3*j+1) = defoVertex->at(j)->y;
b(mMeshVertexCount_X3+3*j+2) = defoVertex->at(j)->z;
}
A_prime.makeCompressed();
Eigen::SparseMatrix<double> A_prime_T = Eigen::SparseMatrix<double>(A_prime.transpose());
Eigen::VectorXd A_prime_T_b = A_prime_T*b;
Eigen::SparseMatrix<double> sym = A_prime_T*A_prime;
long t = (clock()-clock_start);
printf("constructTime:%d\n",t);
#ifdef MY_DEBUG
ofstream outSym("sym.txt");
outSym << sym << endl;
outSym.close();
ofstream outAprimeT("AprimeT.txt");
outAprimeT << A_prime_T << endl;
outAprimeT.close();
ofstream outAprime("A_prime.txt");
outAprime << A_prime << endl;
outAprime.close();
#endif
#ifdef MY_DEBUG
Eigen::EigenSolver<Eigen::MatrixXd > es(sym);
ofstream outEigen("eigenvalues.txt",ios::app);
outEigen << es.eigenvalues() << endl;
outEigen.close();
#endif // MY_DEBUG
clock_start = clock();
//Eigen::SimplicialLLT<Eigen::SparseMatrix<double> > solver;
Eigen::SimplicialLDLT<Eigen::SparseMatrix<double> > solver;
solver.compute(sym);
t = (clock()-clock_start);
printf("factorizationTime:%d\n",t);
clock_start = clock();
// ofstream outLU("LU.txt",ios::app);
// outLU << "L:" << endl;
// outLU << solver.matrixL() << endl;
// outLU << "------------------------------------------------------------------" << endl;
// outLU << "U:" << endl;
// outLU << solver.matrixU() << endl;
// outLU.close();
if(solver.info()!= Eigen::Success) {
// decomposition failed
return;
}
Eigen::VectorXd v_p = solver.solve(A_prime_T_b);
t = (clock()-clock_start);
printf("SolveTime:%d\n",t);
//printMatrix(v_p,"v_p");
writeToDisk(v_p);
if(solver.info()!= Eigen::Success) {
// solving failed
return;
}
// Eigen::VectorXd v_p = A_prime.householderQr().solve(b);
// //Eigen::VectorXd v_p = A_prime.jacobiSvd().solve(b);
//
//
// printMatrix(laplacianOperator3D,"laplacianOperator3D");
// printMatrix(A_prime,"A_prime");
// printMatrix(adjacentMatrix,"adjacentMatrix");
// printMatrix(b,"b");
// printMatrix(v_p,"v_p");
//
//cout << laplacianOperator;
}
