2: static char help[] = "Tests MatTranspose(), MatNorm(), MatAXPY() and MatAYPX().\n\n";

  4: #include <petscmat.h>

  8: int main(int argc,char **argv)
  9: {
 10:   Mat            mat,tmat = 0;
 11:   PetscInt       m = 7,n,i,j,rstart,rend,rect = 0;
 13:   PetscMPIInt    size,rank;
 14:   PetscBool      flg;
 15:   PetscScalar    v, alpha;
 16:   PetscReal      normf,normi,norm1;

 18:   PetscInitialize(&argc,&argv,(char*)0,help);
 19:   PetscViewerSetFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_COMMON);
 20:   PetscOptionsGetInt(NULL,"-m",&m,NULL);
 21:   MPI_Comm_rank(PETSC_COMM_WORLD,&rank);
 22:   MPI_Comm_size(PETSC_COMM_WORLD,&size);
 23:   n    = m;
 24:   PetscOptionsHasName(NULL,"-rectA",&flg);
 25:   if (flg) {n += 2; rect = 1;}
 26:   PetscOptionsHasName(NULL,"-rectB",&flg);
 27:   if (flg) {n -= 2; rect = 1;}

 29:   /* ------- Assemble matrix, test MatValid() --------- */
 30:   MatCreate(PETSC_COMM_WORLD,&mat);
 31:   MatSetSizes(mat,PETSC_DECIDE,PETSC_DECIDE,m,n);
 32:   MatSetFromOptions(mat);
 33:   MatSetUp(mat);
 34:   MatGetOwnershipRange(mat,&rstart,&rend);
 35:   for (i=rstart; i<rend; i++) {
 36:     for (j=0; j<n; j++) {
 37:       v    = 10.0*i+j;
 38:       MatSetValues(mat,1,&i,1,&j,&v,INSERT_VALUES);
 39:     }
 40:   }
 41:   MatAssemblyBegin(mat,MAT_FINAL_ASSEMBLY);
 42:   MatAssemblyEnd(mat,MAT_FINAL_ASSEMBLY);

 44:   /* ----------------- Test MatNorm()  ----------------- */
 45:   MatNorm(mat,NORM_FROBENIUS,&normf);
 46:   MatNorm(mat,NORM_1,&norm1);
 47:   MatNorm(mat,NORM_INFINITY,&normi);
 48:   PetscPrintf(PETSC_COMM_WORLD,"original A: Frobenious norm = %G, one norm = %G, infinity norm = %G\n",
 49:                      normf,norm1,normi);
 50:   MatView(mat,PETSC_VIEWER_STDOUT_WORLD);

 52:   /* --------------- Test MatTranspose()  -------------- */
 53:   PetscOptionsHasName(NULL,"-in_place",&flg);
 54:   if (!rect && flg) {
 55:     MatTranspose(mat,MAT_REUSE_MATRIX,&mat);   /* in-place transpose */
 56:     tmat = mat; mat = 0;
 57:   } else {      /* out-of-place transpose */
 58:     MatTranspose(mat,MAT_INITIAL_MATRIX,&tmat);
 59:   }

 61:   /* ----------------- Test MatNorm()  ----------------- */
 62:   /* Print info about transpose matrix */
 63:   MatNorm(tmat,NORM_FROBENIUS,&normf);
 64:   MatNorm(tmat,NORM_1,&norm1);
 65:   MatNorm(tmat,NORM_INFINITY,&normi);
 66:   PetscPrintf(PETSC_COMM_WORLD,"B = A^T: Frobenious norm = %G, one norm = %G, infinity norm = %G\n",
 67:                      normf,norm1,normi);
 68:   MatView(tmat,PETSC_VIEWER_STDOUT_WORLD);

 70:   /* ----------------- Test MatAXPY(), MatAYPX()  ----------------- */
 71:   if (mat && !rect) {
 72:     alpha = 1.0;
 73:     PetscOptionsGetScalar(NULL,"-alpha",&alpha,NULL);
 74:     PetscPrintf(PETSC_COMM_WORLD,"MatAXPY:  B = B + alpha * A\n");
 75:     MatAXPY(tmat,alpha,mat,DIFFERENT_NONZERO_PATTERN);
 76:     MatView(tmat,PETSC_VIEWER_STDOUT_WORLD);

 78:     PetscPrintf(PETSC_COMM_WORLD,"MatAYPX:  B = alpha*B + A\n");
 79:     MatAYPX(tmat,alpha,mat,DIFFERENT_NONZERO_PATTERN);
 80:     MatView(tmat,PETSC_VIEWER_STDOUT_WORLD);
 81:   }

 83:   {
 84:     Mat C;
 85:     alpha = 1.0;
 86:     PetscPrintf(PETSC_COMM_WORLD,"MatAXPY:  C = C + alpha * A, C=A, SAME_NONZERO_PATTERN\n");
 87:     MatDuplicate(mat,MAT_COPY_VALUES,&C);
 88:     MatAXPY(C,alpha,mat,SAME_NONZERO_PATTERN);
 89:     MatView(C,PETSC_VIEWER_STDOUT_WORLD);
 90:     MatDestroy(&C);
 91:   }

 93:   {
 94:     Mat matB;
 95:     /* get matB that has nonzeros of mat in all even numbers of row and col */
 96:     MatCreate(PETSC_COMM_WORLD,&matB);
 97:     MatSetSizes(matB,PETSC_DECIDE,PETSC_DECIDE,m,n);
 98:     MatSetFromOptions(matB);
 99:     MatSetUp(matB);
100:     MatGetOwnershipRange(matB,&rstart,&rend);
101:     if (rstart % 2 != 0) rstart++;
102:     for (i=rstart; i<rend; i += 2) {
103:       for (j=0; j<n; j += 2) {
104:         v    = 10.0*i+j;
105:         MatSetValues(matB,1,&i,1,&j,&v,INSERT_VALUES);
106:       }
107:     }
108:     MatAssemblyBegin(matB,MAT_FINAL_ASSEMBLY);
109:     MatAssemblyEnd(matB,MAT_FINAL_ASSEMBLY);
110:     PetscPrintf(PETSC_COMM_WORLD," A: original matrix:\n");
111:     MatView(mat,PETSC_VIEWER_STDOUT_WORLD);
112:     PetscPrintf(PETSC_COMM_WORLD," B(a subset of A):\n");
113:     MatView(matB,PETSC_VIEWER_STDOUT_WORLD);
114:     PetscPrintf(PETSC_COMM_WORLD,"MatAXPY:  B = B + alpha * A, SUBSET_NONZERO_PATTERN\n");
115:     MatAXPY(mat,alpha,matB,SUBSET_NONZERO_PATTERN);
116:     MatView(mat,PETSC_VIEWER_STDOUT_WORLD);
117:     MatDestroy(&matB);
118:   }

120:   /* Free data structures */
121:   if (mat)  {MatDestroy(&mat);}
122:   if (tmat) {MatDestroy(&tmat);}

124:   PetscFinalize();
125:   return 0;
126: }