1 2 static char help[] = "Tests external Clique direct solvers. Simplified from ex130.c\n\ 3 Example: mpiexec -n <np> ./ex168 -f <matrix binary file> \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 PetscErrorCode ierr; 12 PetscMPIInt rank,size; 13 PetscInt m,n,nfact; 14 PetscReal norm,tol=1.e-12,Anorm; 15 IS perm,iperm; 16 MatFactorInfo info; 17 PetscBool flg,testMatSolve=PETSC_TRUE; 18 PetscViewer fd; /* viewer */ 19 char file[PETSC_MAX_PATH_LEN]; /* input file name */ 20 21 ierr = PetscInitialize(&argc,&args,(char*)0,help);if (ierr) return ierr; 22 ierr = MPI_Comm_rank(PETSC_COMM_WORLD, &rank);CHKERRQ(ierr); 23 ierr = MPI_Comm_size(PETSC_COMM_WORLD, &size);CHKERRQ(ierr); 24 25 /* Determine file from which we read the matrix A */ 26 ierr = PetscOptionsGetString(NULL,NULL,"-f",file,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr); 27 if (!flg) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_USER,"Must indicate binary file with the -f option"); 28 29 /* Load matrix A */ 30 ierr = PetscViewerBinaryOpen(PETSC_COMM_WORLD,file,FILE_MODE_READ,&fd);CHKERRQ(ierr); 31 ierr = MatCreate(PETSC_COMM_WORLD,&A);CHKERRQ(ierr); 32 ierr = MatLoad(A,fd);CHKERRQ(ierr); 33 ierr = VecCreate(PETSC_COMM_WORLD,&b);CHKERRQ(ierr); 34 ierr = VecLoad(b,fd);CHKERRQ(ierr); 35 ierr = PetscViewerDestroy(&fd);CHKERRQ(ierr); 36 ierr = MatGetLocalSize(A,&m,&n);CHKERRQ(ierr); 37 if (m != n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ, "This example is not intended for rectangular matrices (%d, %d)", m, n); 38 ierr = MatNorm(A,NORM_INFINITY,&Anorm);CHKERRQ(ierr); 39 40 /* Create vectors */ 41 ierr = VecDuplicate(b,&x);CHKERRQ(ierr); 42 ierr = VecDuplicate(x,&u);CHKERRQ(ierr); /* save the true solution */ 43 44 /* Test Cholesky Factorization */ 45 ierr = MatGetOrdering(A,MATORDERINGNATURAL,&perm,&iperm);CHKERRQ(ierr); 46 47 if (!rank) printf(" Clique Cholesky:\n"); 48 ierr = MatGetFactor(A,MATSOLVERCLIQUE,MAT_FACTOR_CHOLESKY,&F);CHKERRQ(ierr); 49 50 info.fill = 5.0; 51 ierr = MatCholeskyFactorSymbolic(F,A,perm,&info);CHKERRQ(ierr); 52 53 for (nfact = 0; nfact < 1; nfact++) { 54 if (!rank) printf(" %d-the Cholesky numfactorization \n",nfact); 55 ierr = MatCholeskyFactorNumeric(F,A,&info);CHKERRQ(ierr); 56 57 /* Test MatSolve() */ 58 if (testMatSolve && nfact == 2) { 59 ierr = MatSolve(F,b,x);CHKERRQ(ierr); 60 61 /* Check the residual */ 62 ierr = MatMult(A,x,u);CHKERRQ(ierr); 63 ierr = VecAXPY(u,-1.0,b);CHKERRQ(ierr); 64 ierr = VecNorm(u,NORM_INFINITY,&norm);CHKERRQ(ierr); 65 /* if (norm > tol) { */ 66 if (!rank) { 67 ierr = PetscPrintf(PETSC_COMM_SELF,"MatSolve: rel residual %g/%g = %g, LU numfact %d\n",norm,Anorm,norm/Anorm,nfact);CHKERRQ(ierr); 68 } 69 /*} */ 70 } 71 } 72 73 /* Free data structures */ 74 ierr = MatDestroy(&A);CHKERRQ(ierr); 75 ierr = MatDestroy(&F);CHKERRQ(ierr); 76 ierr = ISDestroy(&perm);CHKERRQ(ierr); 77 ierr = ISDestroy(&iperm);CHKERRQ(ierr); 78 ierr = VecDestroy(&x);CHKERRQ(ierr); 79 ierr = VecDestroy(&b);CHKERRQ(ierr); 80 ierr = VecDestroy(&u);CHKERRQ(ierr); 81 ierr = PetscFinalize(); 82 return ierr; 83 } 84