static char help[] = "Tests external Clique direct solvers. Simplified from ex130.c\n\ Example: mpiexec -n ./ex168 -f \n\n"; #include int main(int argc,char **args) { Mat A,F; Vec u,x,b; PetscErrorCode ierr; PetscMPIInt rank,size; PetscInt m,n,nfact; PetscReal norm,tol=1.e-12,Anorm; IS perm,iperm; MatFactorInfo info; PetscBool flg,testMatSolve=PETSC_TRUE; PetscViewer fd; /* viewer */ char file[PETSC_MAX_PATH_LEN]; /* input file name */ ierr = PetscInitialize(&argc,&args,(char*)0,help);if (ierr) return ierr; ierr = MPI_Comm_rank(PETSC_COMM_WORLD, &rank);CHKERRMPI(ierr); ierr = MPI_Comm_size(PETSC_COMM_WORLD, &size);CHKERRMPI(ierr); /* Determine file from which we read the matrix A */ ierr = PetscOptionsGetString(NULL,NULL,"-f",file,sizeof(file),&flg);CHKERRQ(ierr); if (!flg) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_USER,"Must indicate binary file with the -f option"); /* Load matrix A */ ierr = PetscViewerBinaryOpen(PETSC_COMM_WORLD,file,FILE_MODE_READ,&fd);CHKERRQ(ierr); ierr = MatCreate(PETSC_COMM_WORLD,&A);CHKERRQ(ierr); ierr = MatLoad(A,fd);CHKERRQ(ierr); ierr = VecCreate(PETSC_COMM_WORLD,&b);CHKERRQ(ierr); ierr = VecLoad(b,fd);CHKERRQ(ierr); ierr = PetscViewerDestroy(&fd);CHKERRQ(ierr); ierr = MatGetLocalSize(A,&m,&n);CHKERRQ(ierr); if (m != n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ, "This example is not intended for rectangular matrices (%d, %d)", m, n); ierr = MatNorm(A,NORM_INFINITY,&Anorm);CHKERRQ(ierr); /* Create vectors */ ierr = VecDuplicate(b,&x);CHKERRQ(ierr); ierr = VecDuplicate(x,&u);CHKERRQ(ierr); /* save the true solution */ /* Test Cholesky Factorization */ ierr = MatGetOrdering(A,MATORDERINGNATURAL,&perm,&iperm);CHKERRQ(ierr); if (rank == 0) printf(" Clique Cholesky:\n"); ierr = MatGetFactor(A,MATSOLVERCLIQUE,MAT_FACTOR_CHOLESKY,&F);CHKERRQ(ierr); info.fill = 5.0; ierr = MatCholeskyFactorSymbolic(F,A,perm,&info);CHKERRQ(ierr); for (nfact = 0; nfact < 1; nfact++) { if (rank == 0) printf(" %d-the Cholesky numfactorization \n",nfact); ierr = MatCholeskyFactorNumeric(F,A,&info);CHKERRQ(ierr); /* Test MatSolve() */ if (testMatSolve && nfact == 2) { ierr = MatSolve(F,b,x);CHKERRQ(ierr); /* Check the residual */ ierr = MatMult(A,x,u);CHKERRQ(ierr); ierr = VecAXPY(u,-1.0,b);CHKERRQ(ierr); ierr = VecNorm(u,NORM_INFINITY,&norm);CHKERRQ(ierr); /* if (norm > tol) { */ if (rank == 0) { ierr = PetscPrintf(PETSC_COMM_SELF,"MatSolve: rel residual %g/%g = %g, LU numfact %d\n",norm,Anorm,norm/Anorm,nfact);CHKERRQ(ierr); } /*} */ } } /* Free data structures */ ierr = MatDestroy(&A);CHKERRQ(ierr); ierr = MatDestroy(&F);CHKERRQ(ierr); ierr = ISDestroy(&perm);CHKERRQ(ierr); ierr = ISDestroy(&iperm);CHKERRQ(ierr); ierr = VecDestroy(&x);CHKERRQ(ierr); ierr = VecDestroy(&b);CHKERRQ(ierr); ierr = VecDestroy(&u);CHKERRQ(ierr); ierr = PetscFinalize(); return ierr; }