Date: 2022-03-31T15:28:59+00:00

Actual source code: test18.c
slepc-3.17.0 2022-03-31
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      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 BVNormalize().\n\n";

     13: #include <slepcbv.h>

     15: int main(int argc,char **argv)
     16: {
     17:   BV             X,Y,Z;
     18:   Mat            B;
     19:   Vec            v,t;
     20:   PetscInt       i,j,n=20,k=8,l=3,Istart,Iend;
     21:   PetscViewer    view;
     22:   PetscBool      verbose;
     23:   PetscReal      norm,error;
     24:   PetscScalar    alpha;
     25: #if !defined(PETSC_USE_COMPLEX)
     26:   PetscScalar    *eigi;
     27:   PetscRandom    rand;
     28:   PetscReal      normr,normi;
     29:   Vec            vi;
     30: #endif

     32:   SlepcInitialize(&argc,&argv,(char*)0,help);
     33:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
     34:   PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL);
     35:   PetscOptionsGetInt(NULL,NULL,"-l",&l,NULL);
     36:   PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
     37:   PetscPrintf(PETSC_COMM_WORLD,"Test BV normalization with %" PetscInt_FMT " columns of length %" PetscInt_FMT ".\n",k,n);

     39:   /* Create template vector */
     40:   VecCreate(PETSC_COMM_WORLD,&t);
     41:   VecSetSizes(t,PETSC_DECIDE,n);
     42:   VecSetFromOptions(t);

     44:   /* Create BV object X */
     45:   BVCreate(PETSC_COMM_WORLD,&X);
     46:   PetscObjectSetName((PetscObject)X,"X");
     47:   BVSetSizesFromVec(X,t,k);
     48:   BVSetFromOptions(X);

     50:   /* Set up viewer */
     51:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
     52:   if (verbose) PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);

     54:   /* Fill X entries */
     55:   for (j=0;j<k;j++) {
     56:     BVGetColumn(X,j,&v);
     57:     VecSet(v,0.0);
     58:     for (i=0;i<=n/2;i++) {
     59:       if (i+j<n) {
     60:         alpha = (3.0*i+j-2)/(2*(i+j+1));
     61:         VecSetValue(v,i+j,alpha,INSERT_VALUES);
     62:       }
     63:     }
     64:     VecAssemblyBegin(v);
     65:     VecAssemblyEnd(v);
     66:     BVRestoreColumn(X,j,&v);
     67:   }
     68:   if (verbose) BVView(X,view);

     70:   /* Create copies on Y and Z */
     71:   BVDuplicate(X,&Y);
     72:   PetscObjectSetName((PetscObject)Y,"Y");
     73:   BVCopy(X,Y);
     74:   BVDuplicate(X,&Z);
     75:   PetscObjectSetName((PetscObject)Z,"Z");
     76:   BVCopy(X,Z);
     77:   BVSetActiveColumns(X,l,k);
     78:   BVSetActiveColumns(Y,l,k);
     79:   BVSetActiveColumns(Z,l,k);

     81:   /* Test BVNormalize */
     82:   BVNormalize(X,NULL);
     83:   if (verbose) BVView(X,view);

     85:   /* Check unit norm of columns */
     86:   error = 0.0;
     87:   for (j=l;j<k;j++) {
     88:     BVNormColumn(X,j,NORM_2,&norm);
     89:     error = PetscMax(error,PetscAbsReal(norm-PetscRealConstant(1.0)));
     90:   }
     91:   if (error<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized vectors < 100*eps\n");
     92:   else PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized vectors: %g\n",(double)norm);

     94:   /* Create inner product matrix */
     95:   MatCreate(PETSC_COMM_WORLD,&B);
     96:   MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n);
     97:   MatSetFromOptions(B);
     98:   MatSetUp(B);
     99:   PetscObjectSetName((PetscObject)B,"B");

    101:   MatGetOwnershipRange(B,&Istart,&Iend);
    102:   for (i=Istart;i<Iend;i++) {
    103:     if (i>0) MatSetValue(B,i,i-1,-1.0,INSERT_VALUES);
    104:     if (i<n-1) MatSetValue(B,i,i+1,-1.0,INSERT_VALUES);
    105:     MatSetValue(B,i,i,2.0,INSERT_VALUES);
    106:   }
    107:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
    108:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
    109:   if (verbose) MatView(B,view);

    111:   /* Test BVNormalize with B-norm */
    112:   BVSetMatrix(Y,B,PETSC_FALSE);
    113:   BVNormalize(Y,NULL);
    114:   if (verbose) BVView(Y,view);

    116:   /* Check unit B-norm of columns */
    117:   error = 0.0;
    118:   for (j=l;j<k;j++) {
    119:     BVNormColumn(Y,j,NORM_2,&norm);
    120:     error = PetscMax(error,PetscAbsReal(norm-PetscRealConstant(1.0)));
    121:   }
    122:   if (error<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Deviation from B-normalized vectors < 100*eps\n");
    123:   else PetscPrintf(PETSC_COMM_WORLD,"Deviation from B-normalized vectors: %g\n",(double)norm);

    125: #if !defined(PETSC_USE_COMPLEX)
    126:   /* fill imaginary parts */
    127:   PetscCalloc1(k,&eigi);
    128:   PetscRandomCreate(PETSC_COMM_WORLD,&rand);
    129:   PetscRandomSetFromOptions(rand);
    130:   for (j=l+1;j<k-1;j+=5) {
    131:     PetscRandomGetValue(rand,&alpha);
    132:     eigi[j]   =  alpha;
    133:     eigi[j+1] = -alpha;
    134:   }
    135:   PetscRandomDestroy(&rand);
    136:   if (verbose) {
    137:     VecCreateSeqWithArray(PETSC_COMM_SELF,1,k,eigi,&v);
    138:     VecView(v,view);
    139:     VecDestroy(&v);
    140:   }

    142:   /* Test BVNormalize with complex conjugate columns */
    143:   BVNormalize(Z,eigi);
    144:   if (verbose) BVView(Z,view);

    146:   /* Check unit norm of (complex conjugate) columns */
    147:   error = 0.0;
    148:   for (j=l;j<k;j++) {
    149:     if (eigi[j]) {
    150:       BVGetColumn(Z,j,&v);
    151:       BVGetColumn(Z,j+1,&vi);
    152:       VecNormBegin(v,NORM_2,&normr);
    153:       VecNormBegin(vi,NORM_2,&normi);
    154:       VecNormEnd(v,NORM_2,&normr);
    155:       VecNormEnd(vi,NORM_2,&normi);
    156:       BVRestoreColumn(Z,j+1,&vi);
    157:       BVRestoreColumn(Z,j,&v);
    158:       norm = SlepcAbsEigenvalue(normr,normi);
    159:       j++;
    160:     } else {
    161:       BVGetColumn(Z,j,&v);
    162:       VecNorm(v,NORM_2,&norm);
    163:       BVRestoreColumn(Z,j,&v);
    164:     }
    165:     error = PetscMax(error,PetscAbsReal(norm-PetscRealConstant(1.0)));
    166:   }
    167:   if (error<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized conjugate vectors < 100*eps\n");
    168:   else PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized conjugate vectors: %g\n",(double)norm);
    169:   PetscFree(eigi);
    170: #endif

    172:   BVDestroy(&X);
    173:   BVDestroy(&Y);
    174:   BVDestroy(&Z);
    175:   MatDestroy(&B);
    176:   VecDestroy(&t);
    177:   SlepcFinalize();
    178:   return 0;
    179: }

    181: /*TEST

    183:    testset:
    184:       args: -n 250 -l 6 -k 15
    185:       nsize: {{1 2}}
    186:       requires: !complex
    187:       output_file: output/test18_1.out
    188:       test:
    189:          suffix: 1
    190:          args: -bv_type {{vecs contiguous svec mat}}
    191:       test:
    192:          suffix: 1_cuda
    193:          args: -bv_type svec -vec_type cuda
    194:          requires: cuda

    196:    testset:
    197:       args: -n 250 -l 6 -k 15
    198:       nsize: {{1 2}}
    199:       requires: complex
    200:       output_file: output/test18_1_complex.out
    201:       test:
    202:          suffix: 1_complex
    203:          args: -bv_type {{vecs contiguous svec mat}}
    204:       test:
    205:          suffix: 1_cuda_complex
    206:          args: -bv_type svec -vec_type cuda
    207:          requires: cuda

    209: TEST*/