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 DSSynchronize() on a NHEP.\n\n";

 13: #include <slepcds.h>

 15: PetscErrorCode CheckArray(PetscScalar *A,const char *label,PetscInt k)
 16: {
 17:   PetscInt       j;
 18:   PetscMPIInt    p,size,rank,k_;
 19:   PetscScalar    dif,*buf;
 20:   PetscReal      error;

 22:   PetscFunctionBeginUser;
 23:   PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD,&size));
 24:   PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD,&rank));
 25:   PetscCall(PetscMPIIntCast(k,&k_));
 26:   if (rank) PetscCallMPI(MPI_Send(A,k_,MPIU_SCALAR,0,111,PETSC_COMM_WORLD));
 27:   else {
 28:     PetscCall(PetscMalloc1(k,&buf));
 29:     for (p=1;p<size;p++) {
 30:       PetscCallMPI(MPI_Recv(buf,k_,MPIU_SCALAR,p,111,PETSC_COMM_WORLD,MPI_STATUS_IGNORE));
 31:       dif = 0.0;
 32:       for (j=0;j<k;j++) dif += A[j]-buf[j];
 33:       error = PetscAbsScalar(dif);
 34:       if (error>10*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Array %s differs in proc %d: %g\n",label,(int)p,(double)error));
 35:     }
 36:     PetscCall(PetscFree(buf));
 37:   }
 38:   PetscFunctionReturn(PETSC_SUCCESS);
 39: }

 41: int main(int argc,char **argv)
 42: {
 43:   DS             ds;
 44:   SlepcSC        sc;
 45:   PetscScalar    *A,*Q,*wr,*wi;
 46:   PetscReal      re,im;
 47:   PetscInt       i,j,n=10;
 48:   PetscMPIInt    size;

 50:   PetscFunctionBeginUser;
 51:   PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
 52:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
 53:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solve a Dense System of type NHEP - dimension %" PetscInt_FMT ".\n",n));

 55:   /* Create DS object */
 56:   PetscCall(DSCreate(PETSC_COMM_WORLD,&ds));
 57:   PetscCall(DSSetType(ds,DSNHEP));
 58:   PetscCall(DSSetFromOptions(ds));
 59:   PetscCall(DSAllocate(ds,n));
 60:   PetscCall(DSSetDimensions(ds,n,0,0));

 62:   /* Fill with Grcar matrix */
 63:   PetscCall(DSGetArray(ds,DS_MAT_A,&A));
 64:   for (i=1;i<n;i++) A[i+(i-1)*n]=-1.0;
 65:   for (j=0;j<4;j++) {
 66:     for (i=0;i<n-j;i++) A[i+(i+j)*n]=1.0;
 67:   }
 68:   PetscCall(DSRestoreArray(ds,DS_MAT_A,&A));
 69:   PetscCall(DSSetState(ds,DS_STATE_INTERMEDIATE));

 71:   /* Solve */
 72:   PetscCall(PetscMalloc2(n,&wr,n,&wi));
 73:   PetscCall(DSGetSlepcSC(ds,&sc));
 74:   sc->comparison    = SlepcCompareLargestMagnitude;
 75:   sc->comparisonctx = NULL;
 76:   sc->map           = NULL;
 77:   sc->mapobj        = NULL;
 78:   PetscCall(DSSolve(ds,wr,wi));
 79:   PetscCall(DSSort(ds,wr,wi,NULL,NULL,NULL));

 81:   /* Print eigenvalues */
 82:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed eigenvalues =\n"));
 83:   for (i=0;i<n;i++) {
 84: #if defined(PETSC_USE_COMPLEX)
 85:     re = PetscRealPart(wr[i]);
 86:     im = PetscImaginaryPart(wr[i]);
 87: #else
 88:     re = wr[i];
 89:     im = wi[i];
 90: #endif
 91:     if (PetscAbs(im)<1e-10) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"  %.5f\n",(double)re));
 92:     else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"  %.5f%+.5fi\n",(double)re,(double)im));
 93:   }

 95:   /* Synchronize data and check */
 96:   PetscCall(DSSynchronize(ds,wr,wi));
 97:   PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD,&size));
 98:   if (size>1) {
 99:     PetscCall(CheckArray(wr,"wr",n));
100: #if !defined(PETSC_USE_COMPLEX)
101:     PetscCall(CheckArray(wi,"wi",n));
102: #endif
103:     PetscCall(DSGetArray(ds,DS_MAT_A,&A));
104:     PetscCall(CheckArray(A,"A",n*n));
105:     PetscCall(DSRestoreArray(ds,DS_MAT_A,&A));
106:     PetscCall(DSGetArray(ds,DS_MAT_Q,&Q));
107:     PetscCall(CheckArray(Q,"Q",n*n));
108:     PetscCall(DSRestoreArray(ds,DS_MAT_Q,&Q));
109:   }

111:   PetscCall(PetscFree2(wr,wi));
112:   PetscCall(DSDestroy(&ds));
113:   PetscCall(SlepcFinalize());
114:   return 0;
115: }

117: /*TEST

119:    testset:
120:       nsize: {{1 2 3}}
121:       filter: sed -e "s/[+-]\([0-9]\.[0-9]*i\)/+-\\1/" | sed -e "s/1.58254/1.58255/" | sed -e "s/1.75989/1.75988/" | sed -e "s/1.01945/1.01946/"
122:       output_file: output/test18_1.out
123:       test:
124:          suffix: 1
125:          args: -ds_parallel redundant
126:       test:
127:          suffix: 2
128:          args: -ds_parallel synchronized

130: TEST*/