1 static char help[] = "Tests external Clique direct solvers. Simplified from ex130.c\n\ 2 Example: mpiexec -n <np> ./ex168 -f <matrix binary file> \n\n"; 3 4 #include <petscmat.h> 5 6 int main(int argc, char **args) 7 { 8 Mat A, F; 9 Vec u, x, b; 10 PetscMPIInt rank, size; 11 PetscInt m, n, nfact; 12 PetscReal norm, tol = 1.e-12, Anorm; 13 IS perm, iperm; 14 MatFactorInfo info; 15 PetscBool flg, testMatSolve = PETSC_TRUE; 16 PetscViewer fd; /* viewer */ 17 char file[PETSC_MAX_PATH_LEN]; /* input file name */ 18 19 PetscFunctionBeginUser; 20 PetscCall(PetscInitialize(&argc, &args, (char *)0, help)); 21 PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD, &rank)); 22 PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size)); 23 24 /* Determine file from which we read the matrix A */ 25 PetscCall(PetscOptionsGetString(NULL, NULL, "-f", file, sizeof(file), &flg)); 26 PetscCheck(flg, PETSC_COMM_WORLD, PETSC_ERR_USER, "Must indicate binary file with the -f option"); 27 28 /* Load matrix A */ 29 PetscCall(PetscViewerBinaryOpen(PETSC_COMM_WORLD, file, FILE_MODE_READ, &fd)); 30 PetscCall(MatCreate(PETSC_COMM_WORLD, &A)); 31 PetscCall(MatLoad(A, fd)); 32 PetscCall(VecCreate(PETSC_COMM_WORLD, &b)); 33 PetscCall(VecLoad(b, fd)); 34 PetscCall(PetscViewerDestroy(&fd)); 35 PetscCall(MatGetLocalSize(A, &m, &n)); 36 PetscCheck(m == n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "This example is not intended for rectangular matrices (%d, %d)", m, n); 37 PetscCall(MatNorm(A, NORM_INFINITY, &Anorm)); 38 39 /* Create vectors */ 40 PetscCall(VecDuplicate(b, &x)); 41 PetscCall(VecDuplicate(x, &u)); /* save the true solution */ 42 43 /* Test Cholesky Factorization */ 44 PetscCall(MatGetOrdering(A, MATORDERINGNATURAL, &perm, &iperm)); 45 46 if (rank == 0) printf(" Clique Cholesky:\n"); 47 PetscCall(MatGetFactor(A, MATSOLVERCLIQUE, MAT_FACTOR_CHOLESKY, &F)); 48 49 info.fill = 5.0; 50 PetscCall(MatCholeskyFactorSymbolic(F, A, perm, &info)); 51 52 for (nfact = 0; nfact < 1; nfact++) { 53 if (rank == 0) printf(" %d-the Cholesky numfactorization \n", nfact); 54 PetscCall(MatCholeskyFactorNumeric(F, A, &info)); 55 56 /* Test MatSolve() */ 57 if (testMatSolve && nfact == 2) { 58 PetscCall(MatSolve(F, b, x)); 59 60 /* Check the residual */ 61 PetscCall(MatMult(A, x, u)); 62 PetscCall(VecAXPY(u, -1.0, b)); 63 PetscCall(VecNorm(u, NORM_INFINITY, &norm)); 64 /* if (norm > tol) { */ 65 if (rank == 0) PetscCall(PetscPrintf(PETSC_COMM_SELF, "MatSolve: rel residual %g/%g = %g, LU numfact %d\n", norm, Anorm, norm / Anorm, nfact)); 66 /*} */ 67 } 68 } 69 70 /* Free data structures */ 71 PetscCall(MatDestroy(&A)); 72 PetscCall(MatDestroy(&F)); 73 PetscCall(ISDestroy(&perm)); 74 PetscCall(ISDestroy(&iperm)); 75 PetscCall(VecDestroy(&x)); 76 PetscCall(VecDestroy(&b)); 77 PetscCall(VecDestroy(&u)); 78 PetscCall(PetscFinalize()); 79 return 0; 80 } 81