Date: 2021-02-01T14:41:48+00:00

Actual source code: test5.c
slepc-3.14.2 2021-02-01
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-2020, 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 operations with indefinite inner product.\n\n";

     13: #include <slepcbv.h>

     15: int main(int argc,char **argv)
     16: {
     18:   Vec            t,v,w,omega;
     19:   Mat            B,M;
     20:   BV             X,Y;
     21:   PetscInt       i,j,n=10,k=5,l,Istart,Iend;
     22:   PetscScalar    alpha;
     23:   PetscReal      nrm;
     24:   PetscViewer    view;
     25:   PetscBool      verbose;

     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:   PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
     31:   PetscPrintf(PETSC_COMM_WORLD,"Test BV with indefinite inner product (n=%D, k=%D).\n",n,k);

     33:   /* Create inner product matrix (standard involutionary permutation) */
     34:   MatCreate(PETSC_COMM_WORLD,&B);
     35:   MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n);
     36:   MatSetFromOptions(B);
     37:   MatSetUp(B);
     38:   PetscObjectSetName((PetscObject)B,"B");

     40:   MatGetOwnershipRange(B,&Istart,&Iend);
     41:   for (i=Istart;i<Iend;i++) {
     42:     MatSetValue(B,i,n-i-1,1.0,INSERT_VALUES);
     43:   }
     44:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
     45:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
     46:   MatCreateVecs(B,&t,NULL);

     48:   /* Create BV object X */
     49:   BVCreate(PETSC_COMM_WORLD,&X);
     50:   PetscObjectSetName((PetscObject)X,"X");
     51:   BVSetSizesFromVec(X,t,k);
     52:   BVSetFromOptions(X);
     53:   BVSetMatrix(X,B,PETSC_TRUE);

     55:   /* Set up viewer */
     56:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
     57:   if (verbose) {
     58:     PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
     59:   }

     61:   /* Fill X entries */
     62:   l = -3;
     63:   for (j=0;j<k;j++) {
     64:     BVGetColumn(X,j,&v);
     65:     VecSet(v,-1.0);
     66:     for (i=0;i<n/2;i++) {
     67:       if (i+j<n) {
     68:         l = (l + 3*i+j-2) % n;
     69:         VecSetValue(v,i+j,(PetscScalar)l,INSERT_VALUES);
     70:       }
     71:     }
     72:     VecAssemblyBegin(v);
     73:     VecAssemblyEnd(v);
     74:     BVRestoreColumn(X,j,&v);
     75:   }
     76:   if (verbose) {
     77:     MatView(B,view);
     78:     BVView(X,view);
     79:   }

     81:   /* Test BVNormColumn */
     82:   BVNormColumn(X,0,NORM_2,&nrm);
     83:   PetscPrintf(PETSC_COMM_WORLD,"B-Norm of X[0] = %g\n",(double)nrm);

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

     95:   /* Create a copy on Y */
     96:   BVDuplicate(X,&Y);
     97:   PetscObjectSetName((PetscObject)Y,"Y");
     98:   BVCopy(X,Y);

    100:   /* Check orthogonality */
    101:   MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
    102:   BVDot(Y,Y,M);
    103:   VecCreateSeq(PETSC_COMM_SELF,k,&omega);
    104:   BVGetSignature(Y,omega);
    105:   VecScale(omega,-1.0);
    106:   MatDiagonalSet(M,omega,ADD_VALUES);
    107:   MatNorm(M,NORM_1,&nrm);
    108:   if (nrm<100*PETSC_MACHINE_EPSILON) {
    109:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
    110:   } else {
    111:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)nrm);
    112:   }

    114:   /* Test BVSetSignature */
    115:   VecScale(omega,-1.0);
    116:   BVSetSignature(Y,omega);
    117:   VecDestroy(&omega);

    119:   /* Test BVApplyMatrix */
    120:   VecDuplicate(t,&w);
    121:   BVGetColumn(X,0,&v);
    122:   BVApplyMatrix(X,v,w);
    123:   BVApplyMatrix(X,w,t);
    124:   VecAXPY(t,-1.0,v);
    125:   BVRestoreColumn(X,0,&v);
    126:   VecNorm(t,NORM_2,&nrm);
    127:   if (PetscAbsReal(nrm)>10*PETSC_MACHINE_EPSILON) SETERRQ1(PETSC_COMM_WORLD,1,"Wrong value, nrm = %g\n",(double)nrm);

    129:   BVApplyMatrixBV(X,Y);
    130:   BVGetColumn(Y,0,&v);
    131:   VecAXPY(w,-1.0,v);
    132:   BVRestoreColumn(Y,0,&v);
    133:   VecNorm(w,NORM_2,&nrm);
    134:   if (PetscAbsReal(nrm)>10*PETSC_MACHINE_EPSILON) SETERRQ1(PETSC_COMM_WORLD,1,"Wrong value, nrm = %g\n",(double)nrm);

    136:   BVDestroy(&X);
    137:   BVDestroy(&Y);
    138:   MatDestroy(&M);
    139:   MatDestroy(&B);
    140:   VecDestroy(&w);
    141:   VecDestroy(&t);
    142:   SlepcFinalize();
    143:   return ierr;
    144: }

    146: /*TEST

    148:    test:
    149:       suffix: 1
    150:       nsize: 1
    151:       args: -bv_orthog_refine always -bv_type {{vecs contiguous svec mat}shared output}
    152:       output_file: output/test5_1.out

    154:    test:
    155:       suffix: 1_cuda
    156:       nsize: 1
    157:       args: -bv_orthog_refine always -bv_type svec -mat_type aijcusparse
    158:       requires: cuda
    159:       output_file: output/test5_1.out

    161:    test:
    162:       suffix: 2
    163:       nsize: 1
    164:       args: -bv_orthog_refine always -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs
    165:       output_file: output/test5_1.out

    167:    test:
    168:       suffix: 2_cuda
    169:       nsize: 1
    170:       args: -bv_orthog_refine always -bv_type svec -mat_type aijcusparse -bv_orthog_type mgs
    171:       requires: cuda
    172:       output_file: output/test5_1.out

    175: TEST*/