PetscInt main(PetscInt argc,char **args) { Mat A,As; PetscBool flg,disp_mat=PETSC_FALSE; PetscErrorCode ierr; PetscMPIInt size,rank; PetscInt i,j; PetscScalar v,sigma2; PetscRandom rctx; PetscReal h2,sigma1=100.0; PetscInt dim,Ii,J,n = 3,use_random,rstart,rend; KSP ksp; PC pc; Mat F; PetscInt nneg, nzero, npos; PetscInitialize(&argc,&args,(char *)0,help); #if !defined(PETSC_USE_COMPLEX) SETERRQ(PETSC_COMM_WORLD,1,"This example requires complex numbers"); #endif ierr = MPI_Comm_size(PETSC_COMM_WORLD,&size);CHKERRQ(ierr); ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr); ierr = PetscOptionsHasName(PETSC_NULL, "-display_mat", &disp_mat);CHKERRQ(ierr); ierr = PetscOptionsGetReal(PETSC_NULL,"-sigma1",&sigma1,PETSC_NULL);CHKERRQ(ierr); ierr = PetscOptionsGetInt(PETSC_NULL,"-n",&n,PETSC_NULL);CHKERRQ(ierr); dim = n*n; ierr = MatCreate(PETSC_COMM_WORLD,&A);CHKERRQ(ierr); ierr = MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,dim,dim);CHKERRQ(ierr); ierr = MatSetType(A,MATAIJ);CHKERRQ(ierr); ierr = MatSetFromOptions(A);CHKERRQ(ierr); ierr = PetscOptionsHasName(PETSC_NULL,"-norandom",&flg);CHKERRQ(ierr); if (flg) use_random = 0; else use_random = 1; if (use_random) { ierr = PetscRandomCreate(PETSC_COMM_WORLD,&rctx);CHKERRQ(ierr); ierr = PetscRandomSetFromOptions(rctx);CHKERRQ(ierr); ierr = PetscRandomSetInterval(rctx,0.0,PETSC_i);CHKERRQ(ierr); ierr = PetscRandomGetValue(rctx,&sigma2);CHKERRQ(ierr); /* RealPart(sigma2) == 0.0 */ } else { sigma2 = 10.0*PETSC_i; } h2 = 1.0/((n+1)*(n+1)); ierr = MatGetOwnershipRange(A,&rstart,&rend);CHKERRQ(ierr); for (Ii=rstart; Ii<rend; Ii++) { v = -1.0; i = Ii/n; j = Ii - i*n; if (i>0) { J = Ii-n; ierr = MatSetValues(A,1,&Ii,1,&J,&v,ADD_VALUES);CHKERRQ(ierr);} if (i<n-1) { J = Ii+n; ierr = MatSetValues(A,1,&Ii,1,&J,&v,ADD_VALUES);CHKERRQ(ierr);} if (j>0) { J = Ii-1; ierr = MatSetValues(A,1,&Ii,1,&J,&v,ADD_VALUES);CHKERRQ(ierr);} if (j<n-1) { J = Ii+1; ierr = MatSetValues(A,1,&Ii,1,&J,&v,ADD_VALUES);CHKERRQ(ierr);} v = 4.0 - sigma1*h2; ierr = MatSetValues(A,1,&Ii,1,&Ii,&v,ADD_VALUES);CHKERRQ(ierr); } ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); /* Check whether A is symmetric */ ierr = PetscOptionsHasName(PETSC_NULL, "-check_symmetric", &flg);CHKERRQ(ierr); if (flg) { Mat Trans; ierr = MatTranspose(A,MAT_INITIAL_MATRIX, &Trans); ierr = MatEqual(A, Trans, &flg); if (!flg) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_USER,"A is not symmetric"); ierr = MatDestroy(&Trans);CHKERRQ(ierr); } ierr = MatSetOption(A,MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr); /* make A complex Hermitian */ Ii = 0; J = dim-1; if (Ii >= rstart && Ii < rend){ v = sigma2*h2; /* RealPart(v) = 0.0 */ ierr = MatSetValues(A,1,&Ii,1,&J,&v,ADD_VALUES);CHKERRQ(ierr); v = -sigma2*h2; ierr = MatSetValues(A,1,&J,1,&Ii,&v,ADD_VALUES);CHKERRQ(ierr); } Ii = dim-2; J = dim-1; if (Ii >= rstart && Ii < rend){ v = sigma2*h2; /* RealPart(v) = 0.0 */ ierr = MatSetValues(A,1,&Ii,1,&J,&v,ADD_VALUES);CHKERRQ(ierr); v = -sigma2*h2; ierr = MatSetValues(A,1,&J,1,&Ii,&v,ADD_VALUES);CHKERRQ(ierr); } ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); /* Check whether A is Hermitian */ ierr = PetscOptionsHasName(PETSC_NULL, "-check_Hermitian", &flg);CHKERRQ(ierr); if (flg) { Mat Hermit; if (disp_mat){ if (!rank) printf(" A:\n"); ierr = MatView(A,PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr); } ierr = MatHermitianTranspose(A,MAT_INITIAL_MATRIX, &Hermit); if (disp_mat){ if (!rank) printf(" A_Hermitian:\n"); ierr = MatView(Hermit,PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr); } ierr = MatEqual(A, Hermit, &flg); if (!flg) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_USER,"A is not Hermitian"); ierr = MatDestroy(&Hermit);CHKERRQ(ierr); } ierr = MatSetOption(A,MAT_HERMITIAN,PETSC_TRUE);CHKERRQ(ierr); /* Create a Hermitian matrix As in sbaij format */ ierr = MatConvert(A,MATSBAIJ,MAT_INITIAL_MATRIX,&As);CHKERRQ(ierr); if (disp_mat){ if (!rank) {ierr = PetscPrintf(PETSC_COMM_SELF," As:\n");CHKERRQ(ierr);} ierr = MatView(As,PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr); } /* Test MatGetInertia() */ ierr = KSPCreate(PETSC_COMM_WORLD,&ksp);CHKERRQ(ierr); ierr = KSPSetType(ksp,KSPPREONLY);CHKERRQ(ierr); ierr = KSPSetOperators(ksp,As,As,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); ierr = KSPGetPC(ksp,&pc);CHKERRQ(ierr); ierr = PCSetType(pc,PCCHOLESKY);CHKERRQ(ierr); ierr = PCSetFromOptions(pc);CHKERRQ(ierr); ierr = PCSetUp(pc);CHKERRQ(ierr); ierr = PCFactorGetMatrix(pc,&F);CHKERRQ(ierr); ierr = MatGetInertia(F,&nneg,&nzero,&npos);CHKERRQ(ierr); ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr); if (!rank){ ierr = PetscPrintf(PETSC_COMM_SELF," MatInertia: nneg: %D, nzero: %D, npos: %D\n",nneg,nzero,npos);CHKERRQ(ierr); } /* Free spaces */ ierr = KSPDestroy(&ksp);CHKERRQ(ierr); if (use_random) {ierr = PetscRandomDestroy(&rctx);CHKERRQ(ierr);} ierr = MatDestroy(&A);CHKERRQ(ierr); ierr = MatDestroy(&As);CHKERRQ(ierr); ierr = PetscFinalize(); return 0; }
int main(int argc,char **args) { Mat A,B,F; PetscErrorCode ierr; KSP ksp; PC pc; PetscInt N, n=10, m, Istart, Iend, II, J, i,j; PetscInt nneg, nzero, npos; PetscScalar v,sigma; PetscBool flag,loadA=PETSC_FALSE,loadB=PETSC_FALSE; char file[2][PETSC_MAX_PATH_LEN]; PetscViewer viewer; PetscMPIInt rank; PetscInitialize(&argc,&args,(char *)0,help); /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Compute the matrices that define the eigensystem, Ax=kBx - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ ierr = PetscOptionsGetString(PETSC_NULL,"-fA",file[0],PETSC_MAX_PATH_LEN,&loadA);CHKERRQ(ierr); if (loadA) { ierr = PetscViewerBinaryOpen(PETSC_COMM_WORLD,file[0],FILE_MODE_READ,&viewer);CHKERRQ(ierr); ierr = MatCreate(PETSC_COMM_WORLD,&A);CHKERRQ(ierr); ierr = MatSetType(A,MATSBAIJ);CHKERRQ(ierr); ierr = MatLoad(A,viewer);CHKERRQ(ierr); ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr); ierr = PetscOptionsGetString(PETSC_NULL,"-fB",file[1],PETSC_MAX_PATH_LEN,&loadB);CHKERRQ(ierr); if (loadB){ /* load B to get A = A + sigma*B */ ierr = PetscViewerBinaryOpen(PETSC_COMM_WORLD,file[1],FILE_MODE_READ,&viewer);CHKERRQ(ierr); ierr = MatCreate(PETSC_COMM_WORLD,&B);CHKERRQ(ierr); ierr = MatSetType(B,MATSBAIJ);CHKERRQ(ierr); ierr = MatLoad(B,viewer);CHKERRQ(ierr); ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr); } } if (!loadA) { /* Matrix A is copied from slepc-3.0.0-p6/src/examples/ex13.c. */ ierr = PetscOptionsGetInt(PETSC_NULL,"-n",&n,PETSC_NULL);CHKERRQ(ierr); ierr = PetscOptionsGetInt(PETSC_NULL,"-m",&m,&flag);CHKERRQ(ierr); if( flag==PETSC_FALSE ) m=n; N = n*m; ierr = MatCreate(PETSC_COMM_WORLD,&A);CHKERRQ(ierr); ierr = MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N);CHKERRQ(ierr); ierr = MatSetType(A,MATSBAIJ);CHKERRQ(ierr); ierr = MatSetFromOptions(A);CHKERRQ(ierr); ierr = MatSetUp(A);CHKERRQ(ierr); ierr = MatSetOption(A,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE);CHKERRQ(ierr); ierr = MatGetOwnershipRange(A,&Istart,&Iend);CHKERRQ(ierr); for( II=Istart; II<Iend; II++ ) { v = -1.0; i = II/n; j = II-i*n; if(i>0) { J=II-n; MatSetValues(A,1,&II,1,&J,&v,INSERT_VALUES);CHKERRQ(ierr); } if(i<m-1) { J=II+n; MatSetValues(A,1,&II,1,&J,&v,INSERT_VALUES);CHKERRQ(ierr); } if(j>0) { J=II-1; MatSetValues(A,1,&II,1,&J,&v,INSERT_VALUES);CHKERRQ(ierr); } if(j<n-1) { J=II+1; MatSetValues(A,1,&II,1,&J,&v,INSERT_VALUES);CHKERRQ(ierr); } v=4.0; MatSetValues(A,1,&II,1,&II,&v,INSERT_VALUES);CHKERRQ(ierr); } ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); } /* ierr = MatView(A,PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr); */ if (!loadB) { ierr = MatGetLocalSize(A,&m,&n);CHKERRQ(ierr); ierr = MatCreate(PETSC_COMM_WORLD,&B);CHKERRQ(ierr); ierr = MatSetSizes(B,m,n,PETSC_DECIDE,PETSC_DECIDE);CHKERRQ(ierr); ierr = MatSetType(B,MATSBAIJ);CHKERRQ(ierr); ierr = MatSetFromOptions(B);CHKERRQ(ierr); ierr = MatSetUp(B);CHKERRQ(ierr); ierr = MatSetOption(B,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE);CHKERRQ(ierr); ierr = MatGetOwnershipRange(A,&Istart,&Iend);CHKERRQ(ierr); for( II=Istart; II<Iend; II++ ) { /* v=4.0; MatSetValues(B,1,&II,1,&II,&v,INSERT_VALUES);CHKERRQ(ierr); */ v=1.0; MatSetValues(B,1,&II,1,&II,&v,INSERT_VALUES);CHKERRQ(ierr); } ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); } /* ierr = MatView(B,PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr); */ /* Set a shift: A = A - sigma*B */ ierr = PetscOptionsGetScalar(PETSC_NULL,"-sigma",&sigma,&flag);CHKERRQ(ierr); if (flag){ sigma = -1.0 * sigma; ierr = MatAXPY(A,sigma,B,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); /* A <- A - sigma*B */ /* ierr = MatView(A,PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr); */ } /* Test MatGetInertia() */ ierr = KSPCreate(PETSC_COMM_WORLD,&ksp);CHKERRQ(ierr); ierr = KSPSetType(ksp,KSPPREONLY);CHKERRQ(ierr); ierr = KSPSetOperators(ksp,A,A,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); ierr = KSPGetPC(ksp,&pc);CHKERRQ(ierr); ierr = PCSetType(pc,PCCHOLESKY);CHKERRQ(ierr); ierr = PCSetFromOptions(pc);CHKERRQ(ierr); ierr = PCSetUp(pc);CHKERRQ(ierr); ierr = PCFactorGetMatrix(pc,&F);CHKERRQ(ierr); ierr = MatGetInertia(F,&nneg,&nzero,&npos);CHKERRQ(ierr); ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr); if (!rank){ ierr = PetscPrintf(PETSC_COMM_SELF," MatInertia: nneg: %D, nzero: %D, npos: %D\n",nneg,nzero,npos);CHKERRQ(ierr); } /* Destroy */ ierr = KSPDestroy(&ksp);CHKERRQ(ierr); ierr = MatDestroy(&A);CHKERRQ(ierr); ierr = MatDestroy(&B);CHKERRQ(ierr); ierr = PetscFinalize(); return 0; }