Date: 2020-01-13T11:59:41+00:00

Actual source code: test8.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 BV orthogonalization with selected columns.\n\n";

     13: #include <slepcbv.h>

     15: int main(int argc,char **argv)
     16: {
     18:   BV             X;
     19:   Vec            v,t,z;
     20:   PetscInt       i,j,n=20,k=8;
     21:   PetscViewer    view;
     22:   PetscBool      verbose,*which;
     23:   PetscReal      norm;
     24:   PetscScalar    alpha,*pz;

     26:   SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
     27:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
     28:   PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL);
     29:   PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
     30:   PetscPrintf(PETSC_COMM_WORLD,"Test BV orthogonalization with selected columns of length %D.\n",n);

     32:   /* Create template vector */
     33:   VecCreate(PETSC_COMM_WORLD,&t);
     34:   VecSetSizes(t,PETSC_DECIDE,n);
     35:   VecSetFromOptions(t);

     37:   /* Create BV object X */
     38:   BVCreate(PETSC_COMM_WORLD,&X);
     39:   PetscObjectSetName((PetscObject)X,"X");
     40:   BVSetSizesFromVec(X,t,k);
     41:   BVSetOrthogonalization(X,BV_ORTHOG_MGS,BV_ORTHOG_REFINE_IFNEEDED,PETSC_DEFAULT,BV_ORTHOG_BLOCK_GS);
     42:   BVSetFromOptions(X);

     44:   /* Set up viewer */
     45:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
     46:   if (verbose) {
     47:     PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
     48:   }

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

     68:   /* Orthonormalize first k-1 columns */
     69:   for (j=0;j<k-1;j++) {
     70:     BVOrthogonalizeColumn(X,j,NULL,&norm,NULL);
     71:     alpha = 1.0/norm;
     72:     BVScaleColumn(X,j,alpha);
     73:   }
     74:   if (verbose) {
     75:     BVView(X,view);
     76:   }

     78:   /* Select odd columns and orthogonalize last column against those only */
     79:   PetscMalloc1(k,&which);
     80:   for (i=0;i<k;i++) which[i] = (i%2)? PETSC_TRUE: PETSC_FALSE;
     81:   BVOrthogonalizeSomeColumn(X,k-1,which,NULL,NULL,NULL);
     82:   PetscFree(which);
     83:   if (verbose) {
     84:     BVView(X,view);
     85:   }

     87:   /* Check orthogonality */
     88:   PetscPrintf(PETSC_COMM_WORLD,"Orthogonalization coefficients:\n");
     89:   VecCreateSeq(PETSC_COMM_SELF,k-1,&z);
     90:   PetscObjectSetName((PetscObject)z,"z");
     91:   VecGetArray(z,&pz);
     92:   BVDotColumn(X,k-1,pz);
     93:   for (i=0;i<k-1;i++) {
     94:     if (PetscAbsScalar(pz[i])<5.0*PETSC_MACHINE_EPSILON) pz[i]=0.0;
     95:   }
     96:   VecRestoreArray(z,&pz);
     97:   VecView(z,view);
     98:   VecDestroy(&z);

    100:   BVDestroy(&X);
    101:   VecDestroy(&t);
    102:   SlepcFinalize();
    103:   return ierr;
    104: }

    106: /*TEST

    108:    test:
    109:       suffix: 1
    110:       nsize: 1
    111:       args: -bv_type {{vecs contiguous svec mat}shared output}
    112:       output_file: output/test8_1.out

    114:    test:
    115:       suffix: 1_cuda
    116:       nsize: 1
    117:       args: -bv_type svec -vec_type cuda
    118:       requires: cuda
    119:       output_file: output/test8_1.out

    121:    test:
    122:       suffix: 2
    123:       nsize: 1
    124:       args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_refine never
    125:       requires: !single
    126:       output_file: output/test8_1.out

    128:    test:
    129:       suffix: 3
    130:       nsize: 1
    131:       args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_refine always
    132:       output_file: output/test8_1.out

    134:    test:
    135:       suffix: 4
    136:       nsize: 1
    137:       args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs
    138:       output_file: output/test8_1.out

    140:    test:
    141:       suffix: 4_cuda
    142:       nsize: 1
    143:       args: -bv_type svec -vec_type cuda -bv_orthog_type mgs
    144:       requires: cuda
    145:       output_file: output/test8_1.out

    147: TEST*/