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#include <complex>
#include <iostream> #include <flens/flens.cxx> #ifndef SEED #define SEED 0 #endif #ifndef MAX_M #define MAX_M 1500 #endif #ifndef MAX_N #define MAX_N 1500 #endif #ifndef MAX_NNZ #define MAX_NNZ 3*MAX_M #endif using namespace flens; using namespace std; // // Create symmetric sparse matrix A and control matrix A_ // template <typename CRS, typename FS> void setup(StorageUpLo upLo, int n, int max_nnz, int indexBase, HeCRSMatrix<CRS> &A, HeMatrix<FS> &A_) { typedef typename HeCRSMatrix<CRS>::ElementType ElementType; typedef CoordStorage<complex<double>, CoordRowColCmp> Coord; const ElementType Zero(0); A_.resize(n, upLo, indexBase); A_ = Zero; // // We first setup the sparse matrix B in coordinate storage. Later we // convert it to compressed row storage. // HeCoordMatrix<Coord> B(n, upLo, 1, indexBase); for (int k=1; k<=max_nnz; ++k) { const int i = indexBase + rand() % n; const int j = indexBase + rand() % n; const int v1r = rand() % 10; const int v1i = rand() % 10; const int v2r = rand() % 10; const int v2i = rand() % 10; const auto z1 = complex<double>(v1r,v1i); const auto z2 = complex<double>(v2r,v2i); if ((upLo==Upper && (j>=i)) || (upLo==Lower && (i>=j))) { B(i,j) += z1; B(i,j) -= z2; A_(i,j) += z1; A_(i,j) -= z2; } else { B(j,i) += cxxblas::conjugate(z1); B(j,i) -= cxxblas::conjugate(z2); A_(j,i) += cxxblas::conjugate(z1); A_(j,i) -= cxxblas::conjugate(z2); } } // // Convert coordinate storage matrix B to compressed row storage matrix A // A = B; // // Convert compressed row storage matrix A to full storage matrix A__ // typename HeMatrix<FS>::NoView A__ = A; if (! lapack::isIdentical(A_, A__, "A_", "A__")) { cerr << "n = " << n << endl; cerr << "max_nnz = " << max_nnz << endl; ASSERT(0); } } template <typename CRS, typename FS> void mv(int n, int max_nnz, const HeCRSMatrix<CRS> &A, const HeMatrix<FS> &A_) { typedef typename HeCRSMatrix<CRS>::ElementType ElementType; DenseVector<Array<ElementType> > x(n), y, y_; for (int j=1; j<=n; ++j) { x(j) = complex<double>(rand() % 10, rand() % 10); } y = A * x; y_ = A_ * x; if (! lapack::isIdentical(y, y_, "y", "y_")) { cerr << endl << "failed: y = A*x" << endl; ASSERT(0); } y += A * x; y_ += A_ * x; if (! lapack::isIdentical(y, y_, "y", "y_")) { cerr << endl << "failed: y += A*x" << endl; ASSERT(0); } y -= A * x; y_ -= A_ * x; if (! lapack::isIdentical(y, y_, "y", "y_")) { cerr << endl << "failed: y -= A*x" << endl; ASSERT(0); } ElementType alpha, beta; for (int test=1; test<=20; ++test) { alpha = std::pow(2, 5 - std::max(1, rand() % 10)); beta = std::pow(2, 5 - std::max(1, rand() % 10)); // // Reset y (and y_) to some random vector // for (int i=1; i<=n; ++i) { y(i) = complex<double>(rand() % 1000, rand() % 1000); } y_ = y; y = beta*y + alpha*A * x; y_ = beta*y_ + alpha*A_ * x; if (! lapack::isIdentical(y, y_, "y", "y_")) { cerr << endl << "failed: y = beta*y + alpha*A*x" << endl; cout << "alpha = " << alpha << endl; cout << "beta = " << beta << endl; cout << "A_ = " << A_ << endl; cout << "x = " << x << endl; cout << "y_ = " << y_ << endl; ASSERT(0); } } } int main() { srand(SEED); for (int run=1; run<=30; ++run) { const int n = std::max(1, rand() % (MAX_N)); // check case 'nnz==0' at least onece const int max_nnz = (run==1) ? 0 : (rand() % (MAX_NNZ)); cerr << "run " << run << ":" << endl; for (int indexBase=-3; indexBase<=3; ++indexBase) { cerr << "indexBase = " << indexBase << endl; cerr << "n x n = " << n << " x " << n << endl; cerr << "max_nnz = " << max_nnz << endl << endl; // // Storing elements in upper part // { HeCRSMatrix<CRS<complex<double> > > A; HeMatrix<FullStorage<complex<double> > > A_; setup(Upper, n, max_nnz, indexBase, A, A_); mv(n, max_nnz, A, A_); } // // Storing elements in lower part // { HeCRSMatrix<CRS<complex<double> > > A; HeMatrix<FullStorage<complex<double> > > A_; setup(Lower, n, max_nnz, indexBase, A, A_); mv(n, max_nnz, A, A_); } } } } |