1 2 static char help[] = "Tests external direct solvers. Simplified from ex125.c\n\ 3 Example: mpiexec -n <np> ./ex130 -f <matrix binary file> -mat_solver_type 1 -mat_superlu_equil \n\n"; 4 5 #include <petscmat.h> 6 7 int main(int argc, char **args) 8 { 9 Mat A, F; 10 Vec u, x, b; 11 PetscMPIInt rank, size; 12 PetscInt m, n, nfact, ipack = 0; 13 PetscReal norm, tol = 1.e-12, Anorm; 14 IS perm, iperm; 15 MatFactorInfo info; 16 PetscBool flg, testMatSolve = PETSC_TRUE; 17 PetscViewer fd; /* viewer */ 18 char file[PETSC_MAX_PATH_LEN]; /* input file name */ 19 20 PetscFunctionBeginUser; 21 PetscCall(PetscInitialize(&argc, &args, (char *)0, help)); 22 PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD, &rank)); 23 PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size)); 24 25 /* Determine file from which we read the matrix A */ 26 PetscCall(PetscOptionsGetString(NULL, NULL, "-f", file, sizeof(file), &flg)); 27 PetscCheck(flg, PETSC_COMM_WORLD, PETSC_ERR_USER, "Must indicate binary file with the -f option"); 28 29 /* Load matrix A */ 30 PetscCall(PetscViewerBinaryOpen(PETSC_COMM_WORLD, file, FILE_MODE_READ, &fd)); 31 PetscCall(MatCreate(PETSC_COMM_WORLD, &A)); 32 PetscCall(MatLoad(A, fd)); 33 PetscCall(VecCreate(PETSC_COMM_WORLD, &b)); 34 PetscCall(VecLoad(b, fd)); 35 PetscCall(PetscViewerDestroy(&fd)); 36 PetscCall(MatGetLocalSize(A, &m, &n)); 37 PetscCheck(m == n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "This example is not intended for rectangular matrices (%d, %d)", m, n); 38 PetscCall(MatNorm(A, NORM_INFINITY, &Anorm)); 39 40 /* Create vectors */ 41 PetscCall(VecDuplicate(b, &x)); 42 PetscCall(VecDuplicate(x, &u)); /* save the true solution */ 43 44 /* Test LU Factorization */ 45 PetscCall(MatGetOrdering(A, MATORDERINGNATURAL, &perm, &iperm)); 46 47 PetscCall(PetscOptionsGetInt(NULL, NULL, "-mat_solver_type", &ipack, NULL)); 48 switch (ipack) { 49 case 1: 50 #if defined(PETSC_HAVE_SUPERLU) 51 if (rank == 0) printf(" SUPERLU LU:\n"); 52 PetscCall(MatGetFactor(A, MATSOLVERSUPERLU, MAT_FACTOR_LU, &F)); 53 break; 54 #endif 55 case 2: 56 #if defined(PETSC_HAVE_MUMPS) 57 if (rank == 0) printf(" MUMPS LU:\n"); 58 PetscCall(MatGetFactor(A, MATSOLVERMUMPS, MAT_FACTOR_LU, &F)); 59 { 60 /* test mumps options */ 61 PetscInt icntl_7 = 5; 62 PetscCall(MatMumpsSetIcntl(F, 7, icntl_7)); 63 } 64 break; 65 #endif 66 default: 67 if (rank == 0) printf(" PETSC LU:\n"); 68 PetscCall(MatGetFactor(A, MATSOLVERPETSC, MAT_FACTOR_LU, &F)); 69 } 70 71 info.fill = 5.0; 72 PetscCall(MatLUFactorSymbolic(F, A, perm, iperm, &info)); 73 74 for (nfact = 0; nfact < 1; nfact++) { 75 if (rank == 0) printf(" %d-the LU numfactorization \n", nfact); 76 PetscCall(MatLUFactorNumeric(F, A, &info)); 77 78 /* Test MatSolve() */ 79 if (testMatSolve) { 80 PetscCall(MatSolve(F, b, x)); 81 82 /* Check the residual */ 83 PetscCall(MatMult(A, x, u)); 84 PetscCall(VecAXPY(u, -1.0, b)); 85 PetscCall(VecNorm(u, NORM_INFINITY, &norm)); 86 if (norm > tol) { 87 if (rank == 0) PetscCall(PetscPrintf(PETSC_COMM_SELF, "MatSolve: rel residual %g/%g = %g, LU numfact %d\n", norm, Anorm, norm / Anorm, nfact)); 88 } 89 } 90 } 91 92 /* Free data structures */ 93 PetscCall(MatDestroy(&A)); 94 PetscCall(MatDestroy(&F)); 95 PetscCall(ISDestroy(&perm)); 96 PetscCall(ISDestroy(&iperm)); 97 PetscCall(VecDestroy(&x)); 98 PetscCall(VecDestroy(&b)); 99 PetscCall(VecDestroy(&u)); 100 PetscCall(PetscFinalize()); 101 return 0; 102 } 103