Actual source code: test21.c

      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[] = "Illustrates region filtering.\n\n"
     12:   "Based on ex5.\n"
     13:   "The command line options are:\n"
     14:   "  -m <m>, where <m> = number of grid subdivisions in each dimension.\n\n";

     16: #include <slepceps.h>

     18: /*
     19:    User-defined routines
     20: */
     21: PetscErrorCode MatMarkovModel(PetscInt m,Mat A);

     23: int main(int argc,char **argv)
     24: {
     25:   Mat            A;
     26:   EPS            eps;
     27:   ST             st;
     28:   RG             rg;
     29:   PetscReal      radius,tol=PETSC_SMALL;
     30:   PetscScalar    target=0.5,kr,ki;
     31:   PetscInt       N,m=15,nev,i,nconv;
     32:   PetscBool      checkfile;
     33:   char           filename[PETSC_MAX_PATH_LEN];
     34:   PetscViewer    viewer;
     35:   char           str[50];

     37:   PetscFunctionBeginUser;
     38:   PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
     39:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL));
     40:   N = m*(m+1)/2;
     41:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nMarkov Model, N=%" PetscInt_FMT " (m=%" PetscInt_FMT ")\n",N,m));
     42:   PetscCall(PetscOptionsGetScalar(NULL,NULL,"-target",&target,NULL));
     43:   PetscCall(SlepcSNPrintfScalar(str,sizeof(str),target,PETSC_FALSE));
     44:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Searching closest eigenvalues to the right of %s.\n\n",str));

     46:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     47:      Compute the operator matrix that defines the eigensystem, Ax=kx
     48:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     50:   PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
     51:   PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
     52:   PetscCall(MatSetFromOptions(A));
     53:   PetscCall(MatMarkovModel(m,A));

     55:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     56:                 Create a standalone spectral transformation
     57:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     59:   PetscCall(STCreate(PETSC_COMM_WORLD,&st));
     60:   PetscCall(STSetType(st,STSINVERT));
     61:   PetscCall(STSetShift(st,target));

     63:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     64:                     Create a region for filtering
     65:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     67:   PetscCall(RGCreate(PETSC_COMM_WORLD,&rg));
     68:   PetscCall(RGSetType(rg,RGELLIPSE));
     69:   radius = (1.0-PetscRealPart(target))/2.0;
     70:   PetscCall(RGEllipseSetParameters(rg,target+radius,radius,0.1));

     72:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     73:                 Create the eigensolver and set various options
     74:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     76:   PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
     77:   PetscCall(EPSSetST(eps,st));
     78:   PetscCall(EPSSetRG(eps,rg));
     79:   PetscCall(EPSSetOperators(eps,A,NULL));
     80:   PetscCall(EPSSetProblemType(eps,EPS_NHEP));
     81:   PetscCall(EPSSetTolerances(eps,tol,PETSC_CURRENT));
     82:   PetscCall(EPSSetTarget(eps,target));
     83:   PetscCall(EPSSetFromOptions(eps));

     85:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     86:                Solve the eigensystem and display solution
     87:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     89:   PetscCall(EPSSolve(eps));
     90:   PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL));
     91:   PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev));
     92:   PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));

     94:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     95:                    Check file containing the eigenvalues
     96:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
     97:   PetscCall(PetscOptionsGetString(NULL,NULL,"-checkfile",filename,sizeof(filename),&checkfile));
     98:   if (checkfile) {
     99: #if defined(PETSC_HAVE_COMPLEX)
    100:     PetscComplex *eigs,eval;

    102:     PetscCall(EPSGetConverged(eps,&nconv));
    103:     PetscCall(PetscMalloc1(nconv,&eigs));
    104:     PetscCall(PetscViewerBinaryOpen(PETSC_COMM_WORLD,filename,FILE_MODE_READ,&viewer));
    105:     PetscCall(PetscViewerBinaryRead(viewer,eigs,nconv,NULL,PETSC_COMPLEX));
    106:     PetscCall(PetscViewerDestroy(&viewer));
    107:     for (i=0;i<nconv;i++) {
    108:       PetscCall(EPSGetEigenpair(eps,i,&kr,&ki,NULL,NULL));
    109: #if defined(PETSC_USE_COMPLEX)
    110:       eval = kr;
    111: #else
    112:       eval = PetscCMPLX(kr,ki);
    113: #endif
    114:       PetscCheck(eval==eigs[i],PETSC_COMM_WORLD,PETSC_ERR_FILE_UNEXPECTED,"Eigenvalues in the file do not match");
    115:     }
    116:     PetscCall(PetscFree(eigs));
    117: #else
    118:     SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_SUP,"The -checkfile option requires C99 complex numbers");
    119: #endif
    120:   }

    122:   PetscCall(EPSDestroy(&eps));
    123:   PetscCall(STDestroy(&st));
    124:   PetscCall(RGDestroy(&rg));
    125:   PetscCall(MatDestroy(&A));
    126:   PetscCall(SlepcFinalize());
    127:   return 0;
    128: }

    130: PetscErrorCode MatMarkovModel(PetscInt m,Mat A)
    131: {
    132:   const PetscReal cst = 0.5/(PetscReal)(m-1);
    133:   PetscReal       pd,pu;
    134:   PetscInt        Istart,Iend,i,j,jmax,ix=0;

    136:   PetscFunctionBeginUser;
    137:   PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
    138:   for (i=1;i<=m;i++) {
    139:     jmax = m-i+1;
    140:     for (j=1;j<=jmax;j++) {
    141:       ix = ix + 1;
    142:       if (ix-1<Istart || ix>Iend) continue;  /* compute only owned rows */
    143:       if (j!=jmax) {
    144:         pd = cst*(PetscReal)(i+j-1);
    145:         /* north */
    146:         if (i==1) PetscCall(MatSetValue(A,ix-1,ix,2*pd,INSERT_VALUES));
    147:         else PetscCall(MatSetValue(A,ix-1,ix,pd,INSERT_VALUES));
    148:         /* east */
    149:         if (j==1) PetscCall(MatSetValue(A,ix-1,ix+jmax-1,2*pd,INSERT_VALUES));
    150:         else PetscCall(MatSetValue(A,ix-1,ix+jmax-1,pd,INSERT_VALUES));
    151:       }
    152:       /* south */
    153:       pu = 0.5 - cst*(PetscReal)(i+j-3);
    154:       if (j>1) PetscCall(MatSetValue(A,ix-1,ix-2,pu,INSERT_VALUES));
    155:       /* west */
    156:       if (i>1) PetscCall(MatSetValue(A,ix-1,ix-jmax-2,pu,INSERT_VALUES));
    157:     }
    158:   }
    159:   PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
    160:   PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
    161:   PetscFunctionReturn(PETSC_SUCCESS);
    162: }

    164: /*TEST

    166:    test:
    167:       suffix: 1
    168:       args: -eps_nev 4 -eps_ncv 20 -eps_view_values binary:myvalues.bin -checkfile myvalues.bin
    169:       output_file: output/test11_1.out
    170:       requires: !single c99_complex

    172: TEST*/