Date: 2020-01-13T12:01:32+00:00

Actual source code: test7.c
slepc-3.12.2 2020-01-13
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-2019, 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 interface functions of spectrum-slicing STOAR.\n\n"
     12:   "This is based on ex38.c. The command line options are:\n"
     13:   "  -n <n> ... dimension of the matrices.\n\n";

     15: #include <slepcpep.h>

     17: int main(int argc,char **argv)
     18: {
     19:   Mat            M,C,K,A[3]; /* problem matrices */
     20:   PEP            pep;        /* polynomial eigenproblem solver context */
     21:   ST             st;         /* spectral transformation context */
     22:   KSP            ksp;
     23:   PC             pc;
     24:   PetscBool      showinertia=PETSC_TRUE,lock,detect,checket;
     25:   PetscInt       n=100,Istart,Iend,i,*inertias,ns,nev,ncv,mpd;
     26:   PetscReal      mu=1,tau=10,kappa=5,int0,int1,*shifts;

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

     31:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
     32:   PetscOptionsGetBool(NULL,NULL,"-showinertia",&showinertia,NULL);
     33:   PetscPrintf(PETSC_COMM_WORLD,"\nSpectrum slicing on PEP, n=%D\n\n",n);

     35:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     36:      Compute the matrices that define the eigensystem, (k^2*M+k*C+K)x=0
     37:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     39:   /* K is a tridiagonal */
     40:   MatCreate(PETSC_COMM_WORLD,&K);
     41:   MatSetSizes(K,PETSC_DECIDE,PETSC_DECIDE,n,n);
     42:   MatSetFromOptions(K);
     43:   MatSetUp(K);

     45:   MatGetOwnershipRange(K,&Istart,&Iend);
     46:   for (i=Istart;i<Iend;i++) {
     47:     if (i>0) {
     48:       MatSetValue(K,i,i-1,-kappa,INSERT_VALUES);
     49:     }
     50:     MatSetValue(K,i,i,kappa*3.0,INSERT_VALUES);
     51:     if (i<n-1) {
     52:       MatSetValue(K,i,i+1,-kappa,INSERT_VALUES);
     53:     }
     54:   }

     56:   MatAssemblyBegin(K,MAT_FINAL_ASSEMBLY);
     57:   MatAssemblyEnd(K,MAT_FINAL_ASSEMBLY);

     59:   /* C is a tridiagonal */
     60:   MatCreate(PETSC_COMM_WORLD,&C);
     61:   MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,n,n);
     62:   MatSetFromOptions(C);
     63:   MatSetUp(C);

     65:   MatGetOwnershipRange(C,&Istart,&Iend);
     66:   for (i=Istart;i<Iend;i++) {
     67:     if (i>0) {
     68:       MatSetValue(C,i,i-1,-tau,INSERT_VALUES);
     69:     }
     70:     MatSetValue(C,i,i,tau*3.0,INSERT_VALUES);
     71:     if (i<n-1) {
     72:       MatSetValue(C,i,i+1,-tau,INSERT_VALUES);
     73:     }
     74:   }

     76:   MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);
     77:   MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);

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

     91:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     92:                 Create the eigensolver and solve the problem
     93:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     95:   PEPCreate(PETSC_COMM_WORLD,&pep);
     96:   A[0] = K; A[1] = C; A[2] = M;
     97:   PEPSetOperators(pep,3,A);
     98:   PEPSetProblemType(pep,PEP_HYPERBOLIC);
     99:   PEPSetType(pep,PEPSTOAR);

    101:   /*
    102:      Set interval and other settings for spectrum slicing
    103:   */
    104:   int0 = -11.3;
    105:   int1 = -9.5;
    106:   PEPSetInterval(pep,int0,int1);
    107:   PEPSetWhichEigenpairs(pep,PEP_ALL);
    108:   PEPGetST(pep,&st);
    109:   STSetType(st,STSINVERT);
    110:   STGetKSP(st,&ksp);
    111:   KSPSetType(ksp,KSPPREONLY);
    112:   KSPGetPC(ksp,&pc);
    113:   PCSetType(pc,PCCHOLESKY);

    115:   /*
    116:      Test interface functions of STOAR solver
    117:   */
    118:   PEPSTOARGetDetectZeros(pep,&detect);
    119:   PetscPrintf(PETSC_COMM_WORLD," Detect zeros before changing = %d",(int)detect);
    120:   PEPSTOARSetDetectZeros(pep,PETSC_TRUE);
    121:   PEPSTOARGetDetectZeros(pep,&detect);
    122:   PetscPrintf(PETSC_COMM_WORLD," ... changed to %d\n",(int)detect);

    124:   PEPSTOARGetLocking(pep,&lock);
    125:   PetscPrintf(PETSC_COMM_WORLD," Locking flag before changing = %d",(int)lock);
    126:   PEPSTOARSetLocking(pep,PETSC_TRUE);
    127:   PEPSTOARGetLocking(pep,&lock);
    128:   PetscPrintf(PETSC_COMM_WORLD," ... changed to %d\n",(int)lock);

    130:   PEPSTOARGetCheckEigenvalueType(pep,&checket);
    131:   PetscPrintf(PETSC_COMM_WORLD," Check eigenvalue type flag before changing = %d",(int)checket);
    132:   PEPSTOARSetCheckEigenvalueType(pep,PETSC_FALSE);
    133:   PEPSTOARGetCheckEigenvalueType(pep,&checket);
    134:   PetscPrintf(PETSC_COMM_WORLD," ... changed to %d\n",(int)checket);

    136:   PEPSTOARGetDimensions(pep,&nev,&ncv,&mpd);
    137:   PetscPrintf(PETSC_COMM_WORLD," Sub-solve dimensions before changing = [%D,%D,%D]",nev,ncv,mpd);
    138:   PEPSTOARSetDimensions(pep,30,60,60);
    139:   PEPSTOARGetDimensions(pep,&nev,&ncv,&mpd);
    140:   PetscPrintf(PETSC_COMM_WORLD," ... changed to [%D,%D,%D]\n",nev,ncv,mpd);

    142:   PEPSetFromOptions(pep);

    144:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    145:              Compute all eigenvalues in interval and display info
    146:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

    148:   PEPSetUp(pep);
    149:   PEPSTOARGetInertias(pep,&ns,&shifts,&inertias);
    150:   PetscPrintf(PETSC_COMM_WORLD," Inertias (after setup):\n");
    151:   for (i=0;i<ns;i++) {
    152:     PetscPrintf(PETSC_COMM_WORLD," .. %g (%D)\n",(double)shifts[i],inertias[i]);
    153:   }
    154:   PetscFree(shifts);
    155:   PetscFree(inertias);

    157:   PEPSolve(pep);
    158:   PEPGetDimensions(pep,&nev,NULL,NULL);
    159:   PEPGetInterval(pep,&int0,&int1);
    160:   PetscPrintf(PETSC_COMM_WORLD," Found %D eigenvalues in interval [%g,%g]\n",nev,(double)int0,(double)int1);

    162:   if (showinertia) {
    163:     PEPSTOARGetInertias(pep,&ns,&shifts,&inertias);
    164:     PetscPrintf(PETSC_COMM_WORLD," Used %D shifts (inertia):\n",ns);
    165:     for (i=0;i<ns;i++) {
    166:       PetscPrintf(PETSC_COMM_WORLD," .. %g (%D)\n",(double)shifts[i],inertias[i]);
    167:     }
    168:     PetscFree(shifts);
    169:     PetscFree(inertias);
    170:   }

    172:   PEPErrorView(pep,PEP_ERROR_BACKWARD,NULL);

    174:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    175:                     Clean up
    176:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    177:   PEPDestroy(&pep);
    178:   MatDestroy(&M);
    179:   MatDestroy(&C);
    180:   MatDestroy(&K);
    181:   SlepcFinalize();
    182:   return ierr;
    183: }

    185: /*TEST

    187:    test:
    188:       requires: !single
    189:       args: -showinertia 0

    191: TEST*/