Actual source code: test2.c

slepc-3.18.1 2022-11-02
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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 orthogonalization functions.\n\n";

 13: #include <slepcbv.h>

 15: int main(int argc,char **argv)
 16: {
 17:   BV             X,Y,Z;
 18:   Mat            M,R;
 19:   Vec            v,t,e;
 20:   PetscInt       i,j,n=20,k=8;
 21:   PetscViewer    view;
 22:   PetscBool      verbose;
 23:   PetscReal      norm,condn=1.0;
 24:   PetscScalar    alpha;

 27:   SlepcInitialize(&argc,&argv,(char*)0,help);
 28:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
 29:   PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL);
 30:   PetscOptionsGetReal(NULL,NULL,"-condn",&condn,NULL);
 32:   PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
 33:   PetscPrintf(PETSC_COMM_WORLD,"Test BV orthogonalization with %" PetscInt_FMT " columns of length %" PetscInt_FMT ".\n",k,n);
 34:   if (condn>1.0) PetscPrintf(PETSC_COMM_WORLD," - Using a random BV with condition number = %g\n",(double)condn);

 36:   /* Create template vector */
 37:   VecCreate(PETSC_COMM_WORLD,&t);
 38:   VecSetSizes(t,PETSC_DECIDE,n);
 39:   VecSetFromOptions(t);

 41:   /* Create BV object X */
 42:   BVCreate(PETSC_COMM_WORLD,&X);
 43:   PetscObjectSetName((PetscObject)X,"X");
 44:   BVSetSizesFromVec(X,t,k);
 45:   BVSetFromOptions(X);

 47:   /* Set up viewer */
 48:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
 49:   if (verbose) PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);

 51:   /* Fill X entries */
 52:   if (condn==1.0) {
 53:     for (j=0;j<k;j++) {
 54:       BVGetColumn(X,j,&v);
 55:       VecSet(v,0.0);
 56:       for (i=0;i<=n/2;i++) {
 57:         if (i+j<n) {
 58:           alpha = (3.0*i+j-2)/(2*(i+j+1));
 59:           VecSetValue(v,i+j,alpha,INSERT_VALUES);
 60:         }
 61:       }
 62:       VecAssemblyBegin(v);
 63:       VecAssemblyEnd(v);
 64:       BVRestoreColumn(X,j,&v);
 65:     }
 66:   } else BVSetRandomCond(X,condn);
 67:   if (verbose) BVView(X,view);

 69:   /* Create copies on Y and Z */
 70:   BVDuplicate(X,&Y);
 71:   PetscObjectSetName((PetscObject)Y,"Y");
 72:   BVCopy(X,Y);
 73:   BVDuplicate(X,&Z);
 74:   PetscObjectSetName((PetscObject)Z,"Z");
 75:   BVCopy(X,Z);

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

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

 93:   /* Test BVOrthogonalize */
 94:   MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&R);
 95:   PetscObjectSetName((PetscObject)R,"R");
 96:   BVOrthogonalize(Y,R);
 97:   if (verbose) {
 98:     BVView(Y,view);
 99:     MatView(R,view);
100:   }

102:   /* Check orthogonality */
103:   BVDot(Y,Y,M);
104:   MatShift(M,-1.0);
105:   MatNorm(M,NORM_1,&norm);
106:   if (norm<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
107:   else PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm);

109:   /* Check residual */
110:   BVMult(Z,-1.0,1.0,Y,R);
111:   BVNorm(Z,NORM_FROBENIUS,&norm);
112:   if (norm<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Residual ||X-QR|| < 100*eps\n");
113:   else PetscPrintf(PETSC_COMM_WORLD,"Residual ||X-QR||: %g\n",(double)norm);

115:   /* Test BVOrthogonalizeVec */
116:   VecDuplicate(t,&e);
117:   VecSet(e,1.0);
118:   BVOrthogonalizeVec(X,e,NULL,&norm,NULL);
119:   PetscPrintf(PETSC_COMM_WORLD,"Norm of ones(n,1) after orthogonalizing against X: %g\n",(double)norm);

121:   MatDestroy(&M);
122:   MatDestroy(&R);
123:   BVDestroy(&X);
124:   BVDestroy(&Y);
125:   BVDestroy(&Z);
126:   VecDestroy(&e);
127:   VecDestroy(&t);
128:   SlepcFinalize();
129:   return 0;
130: }

132: /*TEST

134:    testset:
135:       output_file: output/test2_1.out
136:       test:
137:          suffix: 1
138:          args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type cgs
139:       test:
140:          suffix: 1_cuda
141:          args: -bv_type svec -vec_type cuda -bv_orthog_type cgs
142:          requires: cuda
143:       test:
144:          suffix: 2
145:          args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs
146:       test:
147:          suffix: 2_cuda
148:          args: -bv_type svec -vec_type cuda -bv_orthog_type mgs
149:          requires: cuda

151:    test:
152:       suffix: 3
153:       nsize: 1
154:       args: -bv_type {{vecs contiguous svec mat}shared output} -condn 1e8
155:       requires: !single
156:       filter: grep -v "against"
157:       output_file: output/test2_3.out

159: TEST*/