Actual source code: ex36.c

  1: static char help[] = "Test MatGetInertia() for Hermitian matrix. \n\n";
  2: /* 
  3:   Example of usage 
  4:     ./ex36 -check_Hermitian -display_mat -display_vec
  5:     mpiexec -n 2 ./ex36 

  7:   This example is modified from src/mat/examples/tests/ex127.c
  8: */

 10: #include <petscksp.h>

 14: PetscInt main(PetscInt argc,char **args)
 15: {
 16:   Mat            A,As;
 17:   PetscBool      flg,disp_mat=PETSC_FALSE;
 19:   PetscMPIInt    size,rank;
 20:   PetscInt       i,j;
 21:   PetscScalar    v,sigma2;
 22:   PetscRandom    rctx;
 23:   PetscReal      h2,sigma1=100.0;
 24:   PetscInt       dim,Ii,J,n = 3,use_random,rstart,rend;
 25:   KSP            ksp;
 26:   PC             pc;
 27:   Mat            F;
 28:   PetscInt       nneg, nzero, npos;
 29: 
 30:   PetscInitialize(&argc,&args,(char *)0,help);
 31: #if !defined(PETSC_USE_COMPLEX)
 32:   SETERRQ(PETSC_COMM_WORLD,1,"This example requires complex numbers");
 33: #endif
 34:   MPI_Comm_size(PETSC_COMM_WORLD,&size);
 35:   MPI_Comm_rank(PETSC_COMM_WORLD,&rank);
 36:   PetscOptionsHasName(PETSC_NULL, "-display_mat", &disp_mat);

 38:   PetscOptionsGetReal(PETSC_NULL,"-sigma1",&sigma1,PETSC_NULL);
 39:   PetscOptionsGetInt(PETSC_NULL,"-n",&n,PETSC_NULL);
 40:   dim  = n*n;

 42:   MatCreate(PETSC_COMM_WORLD,&A);
 43:   MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,dim,dim);
 44:   MatSetType(A,MATAIJ);
 45:   MatSetFromOptions(A);

 47:   PetscOptionsHasName(PETSC_NULL,"-norandom",&flg);
 48:   if (flg) use_random = 0;
 49:   else     use_random = 1;
 50:   if (use_random) {
 51:     PetscRandomCreate(PETSC_COMM_WORLD,&rctx);
 52:     PetscRandomSetFromOptions(rctx);
 53:     PetscRandomSetInterval(rctx,0.0,PETSC_i);
 54:     PetscRandomGetValue(rctx,&sigma2); /* RealPart(sigma2) == 0.0 */
 55:   } else {
 56:     sigma2 = 10.0*PETSC_i;
 57:   }
 58:   h2 = 1.0/((n+1)*(n+1));

 60:   MatGetOwnershipRange(A,&rstart,&rend);
 61:   for (Ii=rstart; Ii<rend; Ii++) {
 62:     v = -1.0; i = Ii/n; j = Ii - i*n;
 63:     if (i>0) {
 64:       J = Ii-n; MatSetValues(A,1,&Ii,1,&J,&v,ADD_VALUES);}
 65:     if (i<n-1) {
 66:       J = Ii+n; MatSetValues(A,1,&Ii,1,&J,&v,ADD_VALUES);}
 67:     if (j>0) {
 68:       J = Ii-1; MatSetValues(A,1,&Ii,1,&J,&v,ADD_VALUES);}
 69:     if (j<n-1) {
 70:       J = Ii+1; MatSetValues(A,1,&Ii,1,&J,&v,ADD_VALUES);}
 71:     v = 4.0 - sigma1*h2;
 72:     MatSetValues(A,1,&Ii,1,&Ii,&v,ADD_VALUES);
 73:   }
 74:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
 75:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);

 77:   /* Check whether A is symmetric */
 78:   PetscOptionsHasName(PETSC_NULL, "-check_symmetric", &flg);
 79:   if (flg) {
 80:     Mat Trans;
 81:     MatTranspose(A,MAT_INITIAL_MATRIX, &Trans);
 82:     MatEqual(A, Trans, &flg);
 83:     if (!flg) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_USER,"A is not symmetric");
 84:     MatDestroy(&Trans);
 85:   }
 86:   MatSetOption(A,MAT_SYMMETRIC,PETSC_TRUE);

 88:   /* make A complex Hermitian */
 89:   Ii = 0; J = dim-1;
 90:   if (Ii >= rstart && Ii < rend){
 91:     v = sigma2*h2; /* RealPart(v) = 0.0 */
 92:     MatSetValues(A,1,&Ii,1,&J,&v,ADD_VALUES);
 93:     v = -sigma2*h2;
 94:     MatSetValues(A,1,&J,1,&Ii,&v,ADD_VALUES);
 95:   }

 97:   Ii = dim-2; J = dim-1;
 98:   if (Ii >= rstart && Ii < rend){
 99:   v = sigma2*h2; /* RealPart(v) = 0.0 */
100:   MatSetValues(A,1,&Ii,1,&J,&v,ADD_VALUES);
101:   v = -sigma2*h2;
102:   MatSetValues(A,1,&J,1,&Ii,&v,ADD_VALUES);
103:   }

105:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
106:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);

108:   /* Check whether A is Hermitian */
109:   PetscOptionsHasName(PETSC_NULL, "-check_Hermitian", &flg);
110:   if (flg) {
111:     Mat Hermit;
112:     if (disp_mat){
113:       if (!rank) printf(" A:\n");
114:       MatView(A,PETSC_VIEWER_STDOUT_WORLD);
115:     }
116:     MatHermitianTranspose(A,MAT_INITIAL_MATRIX, &Hermit);
117:     if (disp_mat){
118:       if (!rank) printf(" A_Hermitian:\n");
119:       MatView(Hermit,PETSC_VIEWER_STDOUT_WORLD);
120:     }
121:     MatEqual(A, Hermit, &flg);
122:     if (!flg) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_USER,"A is not Hermitian");
123:     MatDestroy(&Hermit);
124:   }
125:   MatSetOption(A,MAT_HERMITIAN,PETSC_TRUE);
126: 
127:   /* Create a Hermitian matrix As in sbaij format */
128:   MatConvert(A,MATSBAIJ,MAT_INITIAL_MATRIX,&As);
129:   if (disp_mat){
130:     if (!rank) {PetscPrintf(PETSC_COMM_SELF," As:\n");}
131:     MatView(As,PETSC_VIEWER_STDOUT_WORLD);
132:   }

134:   /* Test MatGetInertia() */
135:   KSPCreate(PETSC_COMM_WORLD,&ksp);
136:   KSPSetType(ksp,KSPPREONLY);
137:   KSPSetOperators(ksp,As,As,DIFFERENT_NONZERO_PATTERN);

139:   KSPGetPC(ksp,&pc);
140:   PCSetType(pc,PCCHOLESKY);
141:   PCSetFromOptions(pc);

143:   PCSetUp(pc);
144:   PCFactorGetMatrix(pc,&F);
145:   MatGetInertia(F,&nneg,&nzero,&npos);
146:   MPI_Comm_rank(PETSC_COMM_WORLD,&rank);
147:   if (!rank){
148:     PetscPrintf(PETSC_COMM_SELF," MatInertia: nneg: %D, nzero: %D, npos: %D\n",nneg,nzero,npos);
149:   }

151:   /* Free spaces */
152:   KSPDestroy(&ksp);
153:   if (use_random) {PetscRandomDestroy(&rctx);}
154:   MatDestroy(&A);
155:   MatDestroy(&As);
156:   PetscFinalize();
157:   return 0;
158: }