Actual source code: test3.c

slepc-3.11.2 2019-07-30
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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 operations with non-standard inner product.\n\n";

 13: #include <slepcbv.h>

 15: int main(int argc,char **argv)
 16: {
 18:   Vec            t,v;
 19:   Mat            B,M;
 20:   BV             X;
 21:   PetscInt       i,j,n=10,k=5,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 non-standard inner product (n=%D, k=%D).\n",n,k);

 33:   /* Create inner product matrix */
 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:     if (i>0) { MatSetValue(B,i,i-1,-1.0,INSERT_VALUES); }
 43:     if (i<n-1) { MatSetValue(B,i,i+1,-1.0,INSERT_VALUES); }
 44:     MatSetValue(B,i,i,2.0,INSERT_VALUES);
 45:   }
 46:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
 47:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
 48:   MatCreateVecs(B,&t,NULL);

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

 57:   /* Set up viewer */
 58:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
 59:   if (verbose) {
 60:     PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
 61:   }

 63:   /* Fill X entries */
 64:   for (j=0;j<k;j++) {
 65:     BVGetColumn(X,j,&v);
 66:     VecSet(v,0.0);
 67:     for (i=0;i<4;i++) {
 68:       if (i+j<n) {
 69:         VecSetValue(v,i+j,(PetscScalar)(3*i+j-2),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:   /* 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,&nrm);
100:   if (nrm<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)nrm);
104:   }

106:   /* Test BVNormVecBegin/End */
107:   BVGetColumn(X,0,&v);
108:   BVNormVecBegin(X,v,NORM_1,&nrm);
109:   BVNormVecEnd(X,v,NORM_1,&nrm);
110:   BVRestoreColumn(X,0,&v);
111:   PetscPrintf(PETSC_COMM_WORLD,"B-Norm of X[0] = %g\n",(double)nrm);

113:   BVDestroy(&X);
114:   MatDestroy(&M);
115:   MatDestroy(&B);
116:   VecDestroy(&t);
117:   SlepcFinalize();
118:   return ierr;
119: }

121: /*TEST

123:    test:
124:       suffix: 1
125:       nsize: 1
126:       args: -bv_type {{vecs contiguous svec mat}shared output}
127:       output_file: output/test3_1.out

129:    test:
130:       suffix: 1_svec_vecs
131:       nsize: 1
132:       args: -bv_type svec -bv_matmult vecs
133:       output_file: output/test3_1.out

135:    test:
136:       suffix: 1_cuda
137:       nsize: 1
138:       args: -bv_type svec -mat_type aijcusparse
139:       requires: cuda
140:       output_file: output/test3_1.out

142:    test:
143:       suffix: 2
144:       nsize: 2
145:       args: -bv_type {{vecs contiguous svec mat}shared output}
146:       output_file: output/test3_1.out

148:    test:
149:       suffix: 3
150:       nsize: 2
151:       args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs
152:       output_file: output/test3_1.out

154: TEST*/