Date: 2021-02-01T14:41:49+00:00

Actual source code: test17.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 bi-orthogonalization functions.\n\n";

     13: #include <slepcbv.h>

     15: int main(int argc,char **argv)
     16: {
     18:   BV             X,Y;
     19:   Mat            M;
     20:   Vec            v,t;
     21:   PetscInt       i,j,n=20,k=7;
     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 bi-orthogonalization with %D columns of length %D.\n",k,n);
     34:   if (condn>1.0) {
     35:     PetscPrintf(PETSC_COMM_WORLD," - Using random BVs 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: #if defined(PETSC_USE_COMPLEX)
     64:           alpha += (1.2*i+j-2)/(0.1*(i+j+1))*PETSC_i;
     65: #endif
     66:           VecSetValue(v,i+j,alpha,INSERT_VALUES);
     67:         }
     68:       }
     69:       VecAssemblyBegin(v);
     70:       VecAssemblyEnd(v);
     71:       BVRestoreColumn(X,j,&v);
     72:     }
     73:   } else {
     74:     BVSetRandomCond(X,condn);
     75:   }
     76:   if (verbose) {
     77:     BVView(X,view);
     78:   }

     80:   /* Create Y and fill its entries */
     81:   BVDuplicate(X,&Y);
     82:   PetscObjectSetName((PetscObject)Y,"Y");
     83:   if (condn==1.0) {
     84:     for (j=0;j<k;j++) {
     85:       BVGetColumn(Y,j,&v);
     86:       VecSet(v,0.0);
     87:       for (i=PetscMin(n,2+(2*j)%6);i<PetscMin(n,6+(3*j)%9);i++) {
     88:         if (i%5 && i!=j) {
     89:           alpha = (1.5*i+j)/(2.2*(i-j));
     90:           VecSetValue(v,i+j,alpha,INSERT_VALUES);
     91:         }
     92:       }
     93:       VecAssemblyBegin(v);
     94:       VecAssemblyEnd(v);
     95:       BVRestoreColumn(Y,j,&v);
     96:     }
     97:   } else {
     98:     BVSetRandomCond(Y,condn);
     99:   }
    100:   if (verbose) {
    101:     BVView(Y,view);
    102:   }

    104:   /* Test BVBiorthonormalizeColumn */
    105:   for (j=0;j<k;j++) {
    106:     BVBiorthonormalizeColumn(X,Y,j,NULL);
    107:   }
    108:   if (verbose) {
    109:     BVView(X,view);
    110:     BVView(Y,view);
    111:   }

    113:   /* Check orthogonality */
    114:   MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
    115:   PetscObjectSetName((PetscObject)M,"M");
    116:   BVDot(X,Y,M);
    117:   if (verbose) {
    118:     MatView(M,view);
    119:   }
    120:   MatShift(M,-1.0);
    121:   MatNorm(M,NORM_1,&norm);
    122:   if (norm<200*PETSC_MACHINE_EPSILON) {
    123:     PetscPrintf(PETSC_COMM_WORLD,"Level of bi-orthogonality < 200*eps\n");
    124:   } else {
    125:     PetscPrintf(PETSC_COMM_WORLD,"Level of bi-orthogonality: %g\n",(double)norm);
    126:   }

    128:   MatDestroy(&M);
    129:   BVDestroy(&X);
    130:   BVDestroy(&Y);
    131:   VecDestroy(&t);
    132:   SlepcFinalize();
    133:   return ierr;
    134: }

    136: /*TEST

    138:    test:
    139:       suffix: 1
    140:       nsize: 1
    141:       args: -bv_type {{vecs contiguous svec mat}} -bv_orthog_type cgs
    142:       requires: double
    143:       output_file: output/test17_1.out

    145:    test:
    146:       suffix: 1_cuda
    147:       nsize: 1
    148:       args: -bv_type svec -vec_type cuda -bv_orthog_type cgs
    149:       requires: cuda
    150:       output_file: output/test17_1.out

    152:    test:
    153:       suffix: 2
    154:       nsize: 1
    155:       args: -bv_type {{vecs contiguous svec mat}} -bv_orthog_type mgs
    156:       output_file: output/test17_1.out

    158:    test:
    159:       suffix: 2_cuda
    160:       nsize: 1
    161:       args: -bv_type svec -vec_type cuda -bv_orthog_type mgs
    162:       requires: cuda
    163:       output_file: output/test17_1.out

    165: TEST*/