Actual source code: test3.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 BV operations with non-standard inner product.\n\n";

 13: #include <slepcbv.h>

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

 26:   SlepcInitialize(&argc,&argv,(char*)0,help);
 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 with non-standard inner product (n=%" PetscInt_FMT ", k=%" PetscInt_FMT ").\n",n,k);

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

 39:   MatGetOwnershipRange(B,&Istart,&Iend);
 40:   for (i=Istart;i<Iend;i++) {
 41:     if (i>0) MatSetValue(B,i,i-1,-1.0,INSERT_VALUES);
 42:     if (i<n-1) MatSetValue(B,i,i+1,-1.0,INSERT_VALUES);
 43:     MatSetValue(B,i,i,2.0,INSERT_VALUES);
 44:   }
 45:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
 46:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
 47:   MatCreateVecs(B,&t,NULL);

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

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

 60:   /* Fill X entries */
 61:   for (j=0;j<k;j++) {
 62:     BVGetColumn(X,j,&v);
 63:     VecSet(v,0.0);
 64:     for (i=0;i<4;i++) {
 65:       if (i+j<n) VecSetValue(v,i+j,(PetscScalar)(3*i+j-2),INSERT_VALUES);
 66:     }
 67:     VecAssemblyBegin(v);
 68:     VecAssemblyEnd(v);
 69:     BVRestoreColumn(X,j,&v);
 70:   }
 71:   if (verbose) {
 72:     MatView(B,view);
 73:     BVView(X,view);
 74:   }

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

 80:   /* Test BVOrthogonalizeColumn */
 81:   for (j=0;j<k;j++) {
 82:     BVOrthogonalizeColumn(X,j,NULL,&nrm,NULL);
 83:     alpha = 1.0/nrm;
 84:     BVScaleColumn(X,j,alpha);
 85:   }
 86:   if (verbose) BVView(X,view);

 88:   /* Check orthogonality */
 89:   MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
 90:   BVDot(X,X,M);
 91:   MatShift(M,-1.0);
 92:   MatNorm(M,NORM_1,&nrm);
 93:   if (nrm<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
 94:   else PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)nrm);

 96:   /* Test BVNormVecBegin/End */
 97:   BVGetColumn(X,0,&v);
 98:   BVNormVecBegin(X,v,NORM_1,&nrm);
 99:   BVNormVecEnd(X,v,NORM_1,&nrm);
100:   BVRestoreColumn(X,0,&v);
101:   PetscPrintf(PETSC_COMM_WORLD,"B-Norm of X[0] = %g\n",(double)nrm);

103:   BVDestroy(&X);
104:   MatDestroy(&M);
105:   MatDestroy(&B);
106:   VecDestroy(&t);
107:   SlepcFinalize();
108:   return 0;
109: }

111: /*TEST

113:    testset:
114:       output_file: output/test3_1.out
115:       test:
116:          suffix: 1
117:          args: -bv_type {{vecs contiguous svec mat}shared output}
118:       test:
119:          suffix: 1_svec_vecs
120:          args: -bv_type svec -bv_matmult vecs
121:       test:
122:          suffix: 1_cuda
123:          args: -bv_type svec -mat_type aijcusparse
124:          requires: cuda
125:       test:
126:          suffix: 2
127:          nsize: 2
128:          args: -bv_type {{vecs contiguous svec mat}shared output}
129:       test:
130:          suffix: 3
131:          nsize: 2
132:          args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs

134: TEST*/