Date: 2022-11-02T11:47:48+00:00

Actual source code: test1.c
slepc-3.18.1 2022-11-02
Report Typos and Errors

      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain

      6:    This file is part of SLEPc.
      7:    SLEPc is distributed under a 2-clause BSD license (see LICENSE).
      8:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      9: */

     11: static char help[] = "Test LME interface functions, based on ex32.c.\n\n"
     12:   "The command line options are:\n"
     13:   "  -n <n>, where <n> = number of grid subdivisions in x dimension.\n"
     14:   "  -m <m>, where <m> = number of grid subdivisions in y dimension.\n\n";

     16: #include <slepclme.h>

     18: int main(int argc,char **argv)
     19: {
     20:   Mat                  A,B,C,C1,D;
     21:   LME                  lme;
     22:   PetscReal            tol,errest,error;
     23:   PetscScalar          *u;
     24:   PetscInt             N,n=10,m,Istart,Iend,II,maxit,ncv,i,j;
     25:   PetscBool            flg,testprefix=PETSC_FALSE,viewmatrices=PETSC_FALSE;
     26:   const char           *prefix;
     27:   LMEType              type;
     28:   LMEProblemType       ptype;
     29:   PetscViewerAndFormat *vf;

     32:   SlepcInitialize(&argc,&argv,(char*)0,help);

     34:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
     35:   PetscOptionsGetInt(NULL,NULL,"-m",&m,&flg);
     36:   if (!flg) m=n;
     37:   N = n*m;
     38:   PetscPrintf(PETSC_COMM_WORLD,"\nLyapunov equation, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m);
     39:   PetscOptionsGetBool(NULL,NULL,"-test_prefix",&testprefix,NULL);
     40:   PetscOptionsGetBool(NULL,NULL,"-view_matrices",&viewmatrices,NULL);

     42:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     43:                        Create the 2-D Laplacian, A
     44:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     46:   MatCreate(PETSC_COMM_WORLD,&A);
     47:   MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N);
     48:   MatSetFromOptions(A);
     49:   MatSetUp(A);
     50:   MatGetOwnershipRange(A,&Istart,&Iend);
     51:   for (II=Istart;II<Iend;II++) {
     52:     i = II/n; j = II-i*n;
     53:     if (i>0) MatSetValue(A,II,II-n,1.0,INSERT_VALUES);
     54:     if (i<m-1) MatSetValue(A,II,II+n,1.0,INSERT_VALUES);
     55:     if (j>0) MatSetValue(A,II,II-1,1.0,INSERT_VALUES);
     56:     if (j<n-1) MatSetValue(A,II,II+1,1.0,INSERT_VALUES);
     57:     MatSetValue(A,II,II,-4.0,INSERT_VALUES);
     58:   }
     59:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
     60:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);

     62:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     63:        Create a low-rank Mat to store the right-hand side C = C1*C1'
     64:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     66:   MatCreate(PETSC_COMM_WORLD,&C1);
     67:   MatSetSizes(C1,PETSC_DECIDE,PETSC_DECIDE,N,2);
     68:   MatSetType(C1,MATDENSE);
     69:   MatSetUp(C1);
     70:   MatGetOwnershipRange(C1,&Istart,&Iend);
     71:   MatDenseGetArray(C1,&u);
     72:   for (i=Istart;i<Iend;i++) {
     73:     if (i<N/2) u[i-Istart] = 1.0;
     74:     if (i==0) u[i+Iend-2*Istart] = -2.0;
     75:     if (i==1) u[i+Iend-2*Istart] = -1.0;
     76:     if (i==2) u[i+Iend-2*Istart] = -1.0;
     77:   }
     78:   MatDenseRestoreArray(C1,&u);
     79:   MatAssemblyBegin(C1,MAT_FINAL_ASSEMBLY);
     80:   MatAssemblyEnd(C1,MAT_FINAL_ASSEMBLY);
     81:   MatCreateLRC(NULL,C1,NULL,NULL,&C);
     82:   MatDestroy(&C1);

     84:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     85:                 Create the solver and set various options
     86:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
     87:   LMECreate(PETSC_COMM_WORLD,&lme);
     88:   LMESetProblemType(lme,LME_SYLVESTER);
     89:   LMEGetProblemType(lme,&ptype);
     90:   PetscPrintf(PETSC_COMM_WORLD," Equation type set to %d\n",ptype);
     91:   LMESetProblemType(lme,LME_LYAPUNOV);
     92:   LMEGetProblemType(lme,&ptype);
     93:   PetscPrintf(PETSC_COMM_WORLD," Equation type changed to %d\n",ptype);
     94:   LMESetCoefficients(lme,A,NULL,NULL,NULL);
     95:   LMESetRHS(lme,C);

     97:   /* test prefix usage */
     98:   if (testprefix) {
     99:     LMESetOptionsPrefix(lme,"check_");
    100:     LMEAppendOptionsPrefix(lme,"myprefix_");
    101:     LMEGetOptionsPrefix(lme,&prefix);
    102:     PetscPrintf(PETSC_COMM_WORLD," LME prefix is currently: %s\n",prefix);
    103:   }

    105:   /* test some interface functions */
    106:   LMEGetCoefficients(lme,&B,NULL,NULL,NULL);
    107:   if (viewmatrices) MatView(B,PETSC_VIEWER_STDOUT_WORLD);
    108:   LMEGetRHS(lme,&D);
    109:   if (viewmatrices) MatView(D,PETSC_VIEWER_STDOUT_WORLD);
    110:   LMESetTolerances(lme,PETSC_DEFAULT,100);
    111:   LMESetDimensions(lme,21);
    112:   LMESetErrorIfNotConverged(lme,PETSC_TRUE);
    113:   /* test monitors */
    114:   PetscViewerAndFormatCreate(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_DEFAULT,&vf);
    115:   LMEMonitorSet(lme,(PetscErrorCode (*)(LME,PetscInt,PetscReal,void*))LMEMonitorDefault,vf,(PetscErrorCode (*)(void**))PetscViewerAndFormatDestroy);
    116:   /* LMEMonitorCancel(lme); */
    117:   LMESetFromOptions(lme);

    119:   LMEGetType(lme,&type);
    120:   PetscPrintf(PETSC_COMM_WORLD," Solver being used: %s\n",type);

    122:   /* query properties and print them */
    123:   LMEGetTolerances(lme,&tol,&maxit);
    124:   PetscPrintf(PETSC_COMM_WORLD," Tolerance: %g, max iterations: %" PetscInt_FMT "\n",(double)tol,maxit);
    125:   LMEGetDimensions(lme,&ncv);
    126:   PetscPrintf(PETSC_COMM_WORLD," Subspace dimension: %" PetscInt_FMT "\n",ncv);
    127:   LMEGetErrorIfNotConverged(lme,&flg);
    128:   if (flg) PetscPrintf(PETSC_COMM_WORLD," Erroring out if convergence fails\n");

    130:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    131:                 Solve the matrix equation and compute residual error
    132:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

    134:   LMESolve(lme);
    135:   LMEGetErrorEstimate(lme,&errest);
    136:   PetscPrintf(PETSC_COMM_WORLD," Error estimate reported by the solver: %.4g\n",(double)errest);
    137:   LMEComputeError(lme,&error);
    138:   PetscPrintf(PETSC_COMM_WORLD," Computed residual norm: %.4g\n\n",(double)error);

    140:   /*
    141:      Free work space
    142:   */
    143:   LMEDestroy(&lme);
    144:   MatDestroy(&A);
    145:   MatDestroy(&C);
    146:   SlepcFinalize();
    147:   return 0;
    148: }

    150: /*TEST

    152:    test:
    153:       suffix: 1
    154:       args: -lme_monitor_cancel -lme_converged_reason -lme_view -view_matrices -log_exclude lme,bv
    155:       requires: double
    156:       filter: sed -e "s/4.0[0-9]*e-10/4.03e-10/"

    158:    test:
    159:       suffix: 2
    160:       args: -test_prefix -check_myprefix_lme_monitor
    161:       requires: double
    162:       filter: sed -e "s/estimate [0-9]\.[0-9]*e[+-]\([0-9]*\)/estimate (removed)/g" | sed -e "s/4.0[0-9]*e-10/4.03e-10/"

    164:    test:
    165:       suffix: 3
    166:       args: -lme_monitor_cancel -info -lme_monitor draw::draw_lg -draw_virtual
    167:       requires: x double
    168:       filter: sed -e "s/equation = [0-9]\.[0-9]*e[+-]\([0-9]*\)/equation = (removed)/g" | sed -e "s/4.0[0-9]*e-10/4.03e-10/" | grep -v Comm | grep -v machine | grep -v PetscGetHostName | grep -v OpenMP | grep -v Colormap | grep -v "Rank of the Cholesky factor" | grep -v "potrf failed" | grep -v "querying" | grep -v FPTrap | grep -v Device

    170: TEST*/