Date: 2021-09-20T09:43:44+00:00

Actual source code: test2.c
slepc-3.15.2 2021-09-20
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-2021, 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 BV orthogonalization functions.\n\n";

     13: #include <slepcbv.h>

     15: int main(int argc,char **argv)
     16: {
     18:   BV             X,Y,Z;
     19:   Mat            M,R;
     20:   Vec            v,t,e;
     21:   PetscInt       i,j,n=20,k=8;
     22:   PetscViewer    view;
     23:   PetscBool      verbose;
     24:   PetscReal      norm,condn=1.0;
     25:   PetscScalar    alpha;

     27:   SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
     28:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
     29:   PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL);
     30:   PetscOptionsGetReal(NULL,NULL,"-condn",&condn,NULL);
     31:   if (condn<1.0) SETERRQ(PETSC_COMM_WORLD,1,"The condition number must be > 1");
     32:   PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
     33:   PetscPrintf(PETSC_COMM_WORLD,"Test BV orthogonalization with %D columns of length %D.\n",k,n);
     34:   if (condn>1.0) {
     35:     PetscPrintf(PETSC_COMM_WORLD," - Using a random BV with condition number = %g\n",(double)condn);
     36:   }

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

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

     49:   /* Set up viewer */
     50:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
     51:   if (verbose) {
     52:     PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
     53:   }

     55:   /* Fill X entries */
     56:   if (condn==1.0) {
     57:     for (j=0;j<k;j++) {
     58:       BVGetColumn(X,j,&v);
     59:       VecSet(v,0.0);
     60:       for (i=0;i<=n/2;i++) {
     61:         if (i+j<n) {
     62:           alpha = (3.0*i+j-2)/(2*(i+j+1));
     63:           VecSetValue(v,i+j,alpha,INSERT_VALUES);
     64:         }
     65:       }
     66:       VecAssemblyBegin(v);
     67:       VecAssemblyEnd(v);
     68:       BVRestoreColumn(X,j,&v);
     69:     }
     70:   } else {
     71:     BVSetRandomCond(X,condn);
     72:   }
     73:   if (verbose) {
     74:     BVView(X,view);
     75:   }

     77:   /* Create copies on Y and Z */
     78:   BVDuplicate(X,&Y);
     79:   PetscObjectSetName((PetscObject)Y,"Y");
     80:   BVCopy(X,Y);
     81:   BVDuplicate(X,&Z);
     82:   PetscObjectSetName((PetscObject)Z,"Z");
     83:   BVCopy(X,Z);

     85:   /* Test BVOrthogonalizeColumn */
     86:   for (j=0;j<k;j++) {
     87:     BVOrthogonalizeColumn(X,j,NULL,&norm,NULL);
     88:     alpha = 1.0/norm;
     89:     BVScaleColumn(X,j,alpha);
     90:   }
     91:   if (verbose) {
     92:     BVView(X,view);
     93:   }

     95:   /* Check orthogonality */
     96:   MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
     97:   BVDot(X,X,M);
     98:   MatShift(M,-1.0);
     99:   MatNorm(M,NORM_1,&norm);
    100:   if (norm<100*PETSC_MACHINE_EPSILON) {
    101:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
    102:   } else {
    103:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm);
    104:   }

    106:   /* Test BVOrthogonalize */
    107:   MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&R);
    108:   PetscObjectSetName((PetscObject)R,"R");
    109:   BVOrthogonalize(Y,R);
    110:   if (verbose) {
    111:     BVView(Y,view);
    112:     MatView(R,view);
    113:   }

    115:   /* Check orthogonality */
    116:   BVDot(Y,Y,M);
    117:   MatShift(M,-1.0);
    118:   MatNorm(M,NORM_1,&norm);
    119:   if (norm<100*PETSC_MACHINE_EPSILON) {
    120:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
    121:   } else {
    122:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm);
    123:   }

    125:   /* Check residual */
    126:   BVMult(Z,-1.0,1.0,Y,R);
    127:   BVNorm(Z,NORM_FROBENIUS,&norm);
    128:   if (norm<100*PETSC_MACHINE_EPSILON) {
    129:     PetscPrintf(PETSC_COMM_WORLD,"Residual ||X-QR|| < 100*eps\n");
    130:   } else {
    131:     PetscPrintf(PETSC_COMM_WORLD,"Residual ||X-QR||: %g\n",(double)norm);
    132:   }

    134:   /* Test BVOrthogonalizeVec */
    135:   VecDuplicate(t,&e);
    136:   VecSet(e,1.0);
    137:   BVOrthogonalizeVec(X,e,NULL,&norm,NULL);
    138:   PetscPrintf(PETSC_COMM_WORLD,"Norm of ones(n,1) after orthogonalizing against X: %g\n",(double)norm);

    140:   MatDestroy(&M);
    141:   MatDestroy(&R);
    142:   BVDestroy(&X);
    143:   BVDestroy(&Y);
    144:   BVDestroy(&Z);
    145:   VecDestroy(&e);
    146:   VecDestroy(&t);
    147:   SlepcFinalize();
    148:   return ierr;
    149: }

    151: /*TEST

    153:    testset:
    154:       output_file: output/test2_1.out
    155:       test:
    156:          suffix: 1
    157:          args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type cgs
    158:       test:
    159:          suffix: 1_cuda
    160:          args: -bv_type svec -vec_type cuda -bv_orthog_type cgs
    161:          requires: cuda
    162:       test:
    163:          suffix: 2
    164:          args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs
    165:       test:
    166:          suffix: 2_cuda
    167:          args: -bv_type svec -vec_type cuda -bv_orthog_type mgs
    168:          requires: cuda

    170:    test:
    171:       suffix: 3
    172:       nsize: 1
    173:       args: -bv_type {{vecs contiguous svec mat}shared output} -condn 1e8
    174:       requires: !single
    175:       filter: grep -v "against"
    176:       output_file: output/test2_3.out

    178: TEST*/