Actual source code: ex54.c

petsc-3.12.1 2019-10-22
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  1: /*

  3:      Tests MPIDENSE matrix operations MatMultTranspose() with processes with no rows or columns.
  4:      As the matrix is rectangular, least square solution is computed, so KSPLSQR is also tested here.
  5: */

  7:  #include <petscksp.h>

  9: PetscErrorCode fill(Mat m, Vec v)
 10: {
 11:   PetscInt       idxn[3] = {0, 1, 2};
 12:   PetscInt       localRows = 0;
 13:   PetscMPIInt    rank,size;

 17:   MPI_Comm_rank(MPI_COMM_WORLD, &rank);
 18:   MPI_Comm_size(MPI_COMM_WORLD, &size);

 20:   if (rank == 1 || rank == 2) localRows = 4;
 21:   if (size == 1) localRows = 8;
 22:   MatSetSizes(m, localRows, PETSC_DECIDE, PETSC_DECIDE, 3);
 23:   VecSetSizes(v, localRows, PETSC_DECIDE);

 25:   MatSetFromOptions(m);
 26:   VecSetFromOptions(v);
 27:   MatSetUp(m);

 29:   if (size == 1) {
 30:     PetscInt    idxm1[4] = {0, 1, 2, 3};
 31:     PetscScalar values1[12] = {1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1};
 32:     PetscInt    idxm2[4] = {4, 5, 6, 7};
 33:     PetscScalar values2[12] = {1, 2, 0, 1, 2, 1, 1, 3, 0, 1, 3, 1};

 35:     MatSetValues(m, 4, idxm1, 3, idxn, values1, INSERT_VALUES);
 36:     VecSetValue(v, 0, 1.1, INSERT_VALUES); VecSetValue(v, 1, 2.5, INSERT_VALUES);
 37:     VecSetValue(v, 2, 3, INSERT_VALUES); VecSetValue(v, 3, 4, INSERT_VALUES);

 39:     MatSetValues(m, 4, idxm2, 3, idxn, values2, INSERT_VALUES);
 40:     VecSetValue(v, 4, 5, INSERT_VALUES); VecSetValue(v, 5, 6, INSERT_VALUES);
 41:     VecSetValue(v, 6, 7, INSERT_VALUES); VecSetValue(v, 7, 8, INSERT_VALUES);
 42:   } else if (rank == 1) {
 43:     PetscInt    idxm[4] = {0, 1, 2, 3};
 44:     PetscScalar values[12] = {1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1};

 46:     MatSetValues(m, 4, idxm, 3, idxn, values, INSERT_VALUES);
 47:     VecSetValue(v, 0, 1.1, INSERT_VALUES); VecSetValue(v, 1, 2.5, INSERT_VALUES);
 48:     VecSetValue(v, 2, 3, INSERT_VALUES); VecSetValue(v, 3, 4, INSERT_VALUES);
 49:   } else if (rank == 2) {
 50:     PetscInt    idxm[4] = {4, 5, 6, 7};
 51:     PetscScalar values[12] = {1, 2, 0, 1, 2, 1, 1, 3, 0, 1, 3, 1};

 53:     MatSetValues(m, 4, idxm, 3, idxn, values, INSERT_VALUES);
 54:     VecSetValue(v, 4, 5, INSERT_VALUES); VecSetValue(v, 5, 6, INSERT_VALUES);
 55:     VecSetValue(v, 6, 7, INSERT_VALUES); VecSetValue(v, 7, 8, INSERT_VALUES);
 56:   }
 57:   MatAssemblyBegin(m, MAT_FINAL_ASSEMBLY);
 58:   MatAssemblyEnd(m, MAT_FINAL_ASSEMBLY);
 59:   VecAssemblyBegin(v);
 60:   VecAssemblyEnd(v);
 61:   return(0);
 62: }


 65: int main(int argc, char** argv)
 66: {
 67:   Mat            Q;
 68:   Vec            v, a, se;
 69:   KSP            QRsolver;
 70:   PC             pc;

 73:   PetscInitialize(&argc, &argv, NULL, NULL);if (ierr) return ierr;

 75:   VecCreate(PETSC_COMM_WORLD, &v);
 76:   MatCreate(PETSC_COMM_WORLD, &Q);
 77:   MatSetType(Q, MATDENSE);
 78:   fill(Q, v);

 80:   MatCreateVecs(Q, &a, NULL);
 81:   KSPCreate(PETSC_COMM_WORLD, &QRsolver);
 82:   KSPGetPC(QRsolver, &pc);
 83:   PCSetType(pc, PCNONE);
 84:   KSPSetType(QRsolver, KSPLSQR);
 85:   KSPSetFromOptions(QRsolver);
 86:   KSPSetOperators(QRsolver, Q, Q);
 87:   MatViewFromOptions(Q, NULL, "-sys_view");
 88:   VecViewFromOptions(a, NULL, "-rhs_view");
 89:   KSPSolve(QRsolver, v, a);
 90:   KSPLSQRGetStandardErrorVec(QRsolver, &se);
 91:   if (se) {
 92:     VecViewFromOptions(se, NULL, "-se_view");
 93:   }
 94:   KSPDestroy(&QRsolver);
 95:   VecDestroy(&a);
 96:   VecDestroy(&v);
 97:   MatDestroy(&Q);

 99:   PetscFinalize();
100:   return ierr;
101: }


104: /*TEST

106:    test:
107:       args: -ksp_monitor_true_residual -ksp_max_it 10 -sys_view -ksp_converged_reason -ksp_view -ksp_lsqr_compute_standard_error -ksp_lsqr_monitor

109:    test:
110:       suffix: 2
111:       nsize: 4
112:       args: -ksp_monitor_true_residual -ksp_max_it 10 -sys_view -ksp_converged_reason -ksp_view -ksp_lsqr_compute_standard_error -ksp_lsqr_monitor

114:    test:
115:       suffix: 3
116:       nsize: 2
117:       args: -ksp_monitor_true_residual -ksp_max_it 10 -sys_view -ksp_converged_reason -ksp_view -ksp_lsqr_monitor -ksp_convergence_test lsqr -ksp_lsqr_compute_standard_error -se_view -ksp_lsqr_exact_mat_norm 0

119:    test:
120:       suffix: 4
121:       nsize: 2
122:       args: -ksp_monitor_true_residual -ksp_max_it 10 -sys_view -ksp_converged_reason -ksp_view -ksp_lsqr_monitor -ksp_convergence_test lsqr -ksp_lsqr_compute_standard_error -se_view -ksp_lsqr_exact_mat_norm 1


125: TEST*/