static char help[] = "Tests MATFACTORHTOOL\n\n"; #include static PetscErrorCode GenEntries(PetscInt sdim, PetscInt M, PetscInt N, const PetscInt *J, const PetscInt *K, PetscScalar *ptr, PetscCtx ctx) { PetscInt d, j, k; PetscReal diff = 0.0, *coords = (PetscReal *)(ctx); PetscFunctionBeginUser; for (j = 0; j < M; j++) { for (k = 0; k < N; k++) { diff = 0.0; for (d = 0; d < sdim; d++) diff += (coords[J[j] * sdim + d] - coords[K[k] * sdim + d]) * (coords[J[j] * sdim + d] - coords[K[k] * sdim + d]); ptr[j + M * k] = 1.0 / (1.0e-1 + PetscSqrtReal(diff)); } } PetscFunctionReturn(PETSC_SUCCESS); } int main(int argc, char **argv) { Mat A, Ad, F, Fd, X, Xd, B; Vec x, xd, b; PetscInt m = 100, dim = 3, M, K = 10, begin, n = 0; PetscMPIInt size; PetscReal *coords, *gcoords, norm, epsilon; MatHtoolKernelFn *kernel = GenEntries; PetscBool flg, sym = PETSC_FALSE; PetscRandom rdm; MatSolverType type; PetscFunctionBeginUser; PetscCall(PetscInitialize(&argc, &argv, (char *)NULL, help)); PetscCall(PetscOptionsGetInt(NULL, NULL, "-m_local", &m, NULL)); PetscCall(PetscOptionsGetInt(NULL, NULL, "-n_local", &n, NULL)); PetscCall(PetscOptionsGetInt(NULL, NULL, "-dim", &dim, NULL)); PetscCall(PetscOptionsGetInt(NULL, NULL, "-K", &K, NULL)); PetscCall(PetscOptionsGetBool(NULL, NULL, "-symmetric", &sym, NULL)); PetscCall(PetscOptionsGetReal(NULL, NULL, "-mat_htool_epsilon", &epsilon, NULL)); PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size)); M = size * m; PetscCall(PetscOptionsGetInt(NULL, NULL, "-M", &M, NULL)); PetscCall(PetscMalloc1(m * dim, &coords)); PetscCall(PetscRandomCreate(PETSC_COMM_WORLD, &rdm)); PetscCall(PetscRandomGetValuesReal(rdm, m * dim, coords)); PetscCall(PetscCalloc1(M * dim, &gcoords)); PetscCall(MatCreateDense(PETSC_COMM_WORLD, m, PETSC_DECIDE, M, K, NULL, &B)); PetscCall(MatSetRandom(B, rdm)); PetscCall(MatGetOwnershipRange(B, &begin, NULL)); PetscCall(PetscArraycpy(gcoords + begin * dim, coords, m * dim)); PetscCallMPI(MPIU_Allreduce(MPI_IN_PLACE, gcoords, M * dim, MPIU_REAL, MPI_SUM, PETSC_COMM_WORLD)); PetscCall(MatCreateHtoolFromKernel(PETSC_COMM_WORLD, m, m, M, M, dim, coords, coords, kernel, gcoords, &A)); PetscCall(MatSetOption(A, MAT_SYMMETRIC, sym)); PetscCall(MatSetFromOptions(A)); PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY)); PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY)); PetscCall(MatConvert(A, MATDENSE, MAT_INITIAL_MATRIX, &Ad)); PetscCall(MatMultEqual(A, Ad, 10, &flg)); PetscCheck(flg, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "Ax != Adx"); PetscCall(MatCreateDense(PETSC_COMM_WORLD, m, PETSC_DECIDE, M, K, NULL, &X)); PetscCall(MatCreateDense(PETSC_COMM_WORLD, m, PETSC_DECIDE, M, K, NULL, &Xd)); PetscCall(MatViewFromOptions(A, NULL, "-A")); PetscCall(MatViewFromOptions(Ad, NULL, "-Ad")); PetscCall(MatViewFromOptions(B, NULL, "-B")); for (PetscInt i = 0; i < 2; ++i) { PetscCall(MatGetFactor(A, MATSOLVERHTOOL, i == 0 ? MAT_FACTOR_LU : MAT_FACTOR_CHOLESKY, &F)); PetscCall(MatGetFactor(Ad, MATSOLVERPETSC, i == 0 ? MAT_FACTOR_LU : MAT_FACTOR_CHOLESKY, &Fd)); PetscCall(MatFactorGetSolverType(F, &type)); PetscCall(PetscStrncmp(type, MATSOLVERHTOOL, 5, &flg)); PetscCheck(flg, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "MATSOLVERHTOOL != htool"); if (i == 0) { PetscCall(MatLUFactorSymbolic(F, A, NULL, NULL, NULL)); PetscCall(MatLUFactorNumeric(F, A, NULL)); PetscCall(MatLUFactorSymbolic(Fd, Ad, NULL, NULL, NULL)); PetscCall(MatLUFactorNumeric(Fd, Ad, NULL)); } else { PetscCall(MatCholeskyFactorSymbolic(F, A, NULL, NULL)); PetscCall(MatCholeskyFactorNumeric(F, A, NULL)); PetscCall(MatCholeskyFactorSymbolic(Fd, Ad, NULL, NULL)); PetscCall(MatCholeskyFactorNumeric(Fd, Ad, NULL)); } PetscCall(MatMatSolve(F, B, X)); PetscCall(MatMatSolve(Fd, B, Xd)); PetscCall(MatViewFromOptions(X, NULL, "-X")); PetscCall(MatViewFromOptions(Xd, NULL, "-Xd")); PetscCall(MatAXPY(Xd, -1.0, X, SAME_NONZERO_PATTERN)); PetscCall(MatNorm(Xd, NORM_INFINITY, &norm)); PetscCall(MatViewFromOptions(Xd, NULL, "-MatMatSolve")); if (norm > 0.01) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error: norm of residual for MatMatSolve %g\n", (double)norm)); if (!PetscDefined(USE_COMPLEX) || i == 0) { PetscCall(MatMatSolveTranspose(F, B, X)); PetscCall(MatMatSolveTranspose(Fd, B, Xd)); PetscCall(MatAXPY(Xd, -1.0, X, SAME_NONZERO_PATTERN)); PetscCall(MatNorm(Xd, NORM_INFINITY, &norm)); PetscCall(MatViewFromOptions(Xd, NULL, "-MatMatSolveTranspose")); if (norm > 0.01) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error: norm of residual for MatMatSolveTranspose %g\n", (double)norm)); } PetscCall(MatDenseGetColumnVecRead(B, 0, &b)); PetscCall(MatDenseGetColumnVecWrite(X, 0, &x)); PetscCall(MatDenseGetColumnVecWrite(Xd, 0, &xd)); PetscCall(MatSolve(F, b, x)); PetscCall(MatSolve(Fd, b, xd)); PetscCall(VecAXPY(xd, -1.0, x)); PetscCall(VecNorm(xd, NORM_INFINITY, &norm)); PetscCall(MatViewFromOptions(Xd, NULL, "-MatSolve")); if (norm > 0.01) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error: norm of residual for MatSolve %g\n", (double)norm)); if (!PetscDefined(USE_COMPLEX) || i == 0) { PetscCall(MatSolveTranspose(F, b, x)); PetscCall(MatSolveTranspose(Fd, b, xd)); PetscCall(VecAXPY(xd, -1.0, x)); PetscCall(VecNorm(xd, NORM_INFINITY, &norm)); PetscCall(MatViewFromOptions(Xd, NULL, "-MatSolveTranspose")); if (norm > 0.01) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error: norm of residual for MatSolveTranspose %g\n", (double)norm)); } PetscCall(MatDenseRestoreColumnVecWrite(Xd, 0, &xd)); PetscCall(MatDenseRestoreColumnVecWrite(X, 0, &x)); PetscCall(MatDenseRestoreColumnVecRead(B, 0, &b)); PetscCall(MatDestroy(&Fd)); PetscCall(MatDestroy(&F)); } PetscCall(MatDestroy(&Xd)); PetscCall(MatDestroy(&X)); PetscCall(PetscRandomDestroy(&rdm)); PetscCall(MatDestroy(&Ad)); PetscCall(MatDestroy(&A)); PetscCall(MatDestroy(&B)); PetscCall(PetscFree(gcoords)); PetscCall(PetscFree(coords)); PetscCall(PetscFinalize()); return 0; } /*TEST build: requires: htool test: requires: htool suffix: 1 nsize: 1 args: -mat_htool_epsilon 1.0e-11 output_file: output/empty.out TEST*/