Date: 2021-02-01T14:42:12+00:00

Actual source code: test1.c
slepc-3.14.2 2021-02-01
Report Typos and Errors

      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-2020, 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 the solution of a PEP without calling PEPSetFromOptions (based on ex16.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"
     15:   "  -type <pep_type> = pep type to test.\n"
     16:   "  -epstype <eps_type> = eps type to test (for linear).\n\n";

     18: #include <slepcpep.h>

     20: int main(int argc,char **argv)
     21: {
     22:   Mat            M,C,K,A[3];      /* problem matrices */
     23:   PEP            pep;             /* polynomial eigenproblem solver context */
     24:   PetscInt       N,n=10,m,Istart,Iend,II,nev,i,j;
     25:   PetscReal      keep;
     26:   PetscBool      flag,isgd2,epsgiven,lock;
     27:   char           peptype[30] = "linear",epstype[30] = "";
     28:   EPS            eps;
     29:   ST             st;
     30:   KSP            ksp;
     31:   PC             pc;

     34:   SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;

     36:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
     37:   PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag);
     38:   if (!flag) m=n;
     39:   N = n*m;
     40:   PetscOptionsGetString(NULL,NULL,"-type",peptype,sizeof(peptype),NULL);
     41:   PetscOptionsGetString(NULL,NULL,"-epstype",epstype,sizeof(epstype),&epsgiven);
     42:   PetscPrintf(PETSC_COMM_WORLD,"\nQuadratic Eigenproblem, N=%D (%Dx%D grid)\n\n",N,n,m);

     44:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     45:      Compute the matrices that define the eigensystem, (k^2*M+k*C+K)x=0
     46:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     48:   /* K is the 2-D Laplacian */
     49:   MatCreate(PETSC_COMM_WORLD,&K);
     50:   MatSetSizes(K,PETSC_DECIDE,PETSC_DECIDE,N,N);
     51:   MatSetFromOptions(K);
     52:   MatSetUp(K);
     53:   MatGetOwnershipRange(K,&Istart,&Iend);
     54:   for (II=Istart;II<Iend;II++) {
     55:     i = II/n; j = II-i*n;
     56:     if (i>0) { MatSetValue(K,II,II-n,-1.0,INSERT_VALUES); }
     57:     if (i<m-1) { MatSetValue(K,II,II+n,-1.0,INSERT_VALUES); }
     58:     if (j>0) { MatSetValue(K,II,II-1,-1.0,INSERT_VALUES); }
     59:     if (j<n-1) { MatSetValue(K,II,II+1,-1.0,INSERT_VALUES); }
     60:     MatSetValue(K,II,II,4.0,INSERT_VALUES);
     61:   }
     62:   MatAssemblyBegin(K,MAT_FINAL_ASSEMBLY);
     63:   MatAssemblyEnd(K,MAT_FINAL_ASSEMBLY);

     65:   /* C is the 1-D Laplacian on horizontal lines */
     66:   MatCreate(PETSC_COMM_WORLD,&C);
     67:   MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,N,N);
     68:   MatSetFromOptions(C);
     69:   MatSetUp(C);
     70:   MatGetOwnershipRange(C,&Istart,&Iend);
     71:   for (II=Istart;II<Iend;II++) {
     72:     i = II/n; j = II-i*n;
     73:     if (j>0) { MatSetValue(C,II,II-1,-1.0,INSERT_VALUES); }
     74:     if (j<n-1) { MatSetValue(C,II,II+1,-1.0,INSERT_VALUES); }
     75:     MatSetValue(C,II,II,2.0,INSERT_VALUES);
     76:   }
     77:   MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);
     78:   MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);

     80:   /* M is a diagonal matrix */
     81:   MatCreate(PETSC_COMM_WORLD,&M);
     82:   MatSetSizes(M,PETSC_DECIDE,PETSC_DECIDE,N,N);
     83:   MatSetFromOptions(M);
     84:   MatSetUp(M);
     85:   MatGetOwnershipRange(M,&Istart,&Iend);
     86:   for (II=Istart;II<Iend;II++) {
     87:     MatSetValue(M,II,II,(PetscReal)(II+1),INSERT_VALUES);
     88:   }
     89:   MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY);
     90:   MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY);

     92:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     93:                 Create the eigensolver and set various options
     94:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     96:   PEPCreate(PETSC_COMM_WORLD,&pep);
     97:   A[0] = K; A[1] = C; A[2] = M;
     98:   PEPSetOperators(pep,3,A);
     99:   PEPSetProblemType(pep,PEP_GENERAL);
    100:   PEPSetDimensions(pep,4,20,PETSC_DEFAULT);
    101:   PEPSetTolerances(pep,PETSC_SMALL,PETSC_DEFAULT);

    103:   /*
    104:      Set solver type at runtime
    105:   */
    106:   PEPSetType(pep,peptype);
    107:   if (epsgiven) {
    108:     PetscObjectTypeCompare((PetscObject)pep,PEPLINEAR,&flag);
    109:     if (flag) {
    110:       PEPLinearGetEPS(pep,&eps);
    111:       PetscStrcmp(epstype,"gd2",&isgd2);
    112:       if (isgd2) {
    113:         EPSSetType(eps,EPSGD);
    114:         EPSGDSetDoubleExpansion(eps,PETSC_TRUE);
    115:       } else {
    116:         EPSSetType(eps,epstype);
    117:       }
    118:       EPSGetST(eps,&st);
    119:       STGetKSP(st,&ksp);
    120:       KSPGetPC(ksp,&pc);
    121:       PCSetType(pc,PCJACOBI);
    122:       PetscObjectTypeCompare((PetscObject)eps,EPSGD,&flag);
    123:     }
    124:     PEPLinearSetExplicitMatrix(pep,PETSC_TRUE);
    125:   }
    126:   PetscObjectTypeCompare((PetscObject)pep,PEPQARNOLDI,&flag);
    127:   if (flag) {
    128:     STCreate(PETSC_COMM_WORLD,&st);
    129:     STSetTransform(st,PETSC_TRUE);
    130:     PEPSetST(pep,st);
    131:     STDestroy(&st);
    132:     PEPQArnoldiGetRestart(pep,&keep);
    133:     PEPQArnoldiGetLocking(pep,&lock);
    134:     if (!lock && keep<0.6) {
    135:       PEPQArnoldiSetRestart(pep,0.6);
    136:     }
    137:   }
    138:   PetscObjectTypeCompare((PetscObject)pep,PEPTOAR,&flag);
    139:   if (flag) {
    140:     PEPTOARGetRestart(pep,&keep);
    141:     PEPTOARGetLocking(pep,&lock);
    142:     if (!lock && keep<0.6) {
    143:       PEPTOARSetRestart(pep,0.6);
    144:     }
    145:   }

    147:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    148:                       Solve the eigensystem
    149:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

    151:   PEPSolve(pep);
    152:   PEPGetDimensions(pep,&nev,NULL,NULL);
    153:   PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %D\n",nev);

    155:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    156:                     Display solution and clean up
    157:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

    159:   PEPErrorView(pep,PEP_ERROR_BACKWARD,NULL);
    160:   PEPDestroy(&pep);
    161:   MatDestroy(&M);
    162:   MatDestroy(&C);
    163:   MatDestroy(&K);
    164:   SlepcFinalize();
    165:   return ierr;
    166: }

    168: /*TEST

    170:    testset:
    171:       args: -m 11
    172:       output_file: output/test1_1.out
    173:       filter: sed -e "s/1.16403/1.16404/g" | sed -e "s/1.65362i/1.65363i/g" | sed -e "s/-1.16404-1.65363i, -1.16404+1.65363i/-1.16404+1.65363i, -1.16404-1.65363i/" | sed -e "s/-0.51784-1.31039i, -0.51784+1.31039i/-0.51784+1.31039i, -0.51784-1.31039i/"
    174:       test:
    175:          suffix: 1
    176:          args: -type {{toar qarnoldi linear}}
    177:       test:
    178:          suffix: 1_linear_gd
    179:          args: -type linear -epstype gd

    181: TEST*/