Actual source code: test18.c

slepc-3.17.1 2022-04-11
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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 BVNormalize().\n\n";

 13: #include <slepcbv.h>

 15: int main(int argc,char **argv)
 16: {
 17:   BV             X,Y,Z;
 18:   Mat            B;
 19:   Vec            v,t;
 20:   PetscInt       i,j,n=20,k=8,l=3,Istart,Iend;
 21:   PetscViewer    view;
 22:   PetscBool      verbose;
 23:   PetscReal      norm,error;
 24:   PetscScalar    alpha;
 25: #if !defined(PETSC_USE_COMPLEX)
 26:   PetscScalar    *eigi;
 27:   PetscRandom    rand;
 28:   PetscReal      normr,normi;
 29:   Vec            vi;
 30: #endif

 32:   SlepcInitialize(&argc,&argv,(char*)0,help);
 33:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
 34:   PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL);
 35:   PetscOptionsGetInt(NULL,NULL,"-l",&l,NULL);
 36:   PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
 37:   PetscPrintf(PETSC_COMM_WORLD,"Test BV normalization with %" PetscInt_FMT " columns of length %" PetscInt_FMT ".\n",k,n);

 39:   /* Create template vector */
 40:   VecCreate(PETSC_COMM_WORLD,&t);
 41:   VecSetSizes(t,PETSC_DECIDE,n);
 42:   VecSetFromOptions(t);

 44:   /* Create BV object X */
 45:   BVCreate(PETSC_COMM_WORLD,&X);
 46:   PetscObjectSetName((PetscObject)X,"X");
 47:   BVSetSizesFromVec(X,t,k);
 48:   BVSetFromOptions(X);

 50:   /* Set up viewer */
 51:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
 52:   if (verbose) PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);

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

 70:   /* Create copies on Y and Z */
 71:   BVDuplicate(X,&Y);
 72:   PetscObjectSetName((PetscObject)Y,"Y");
 73:   BVCopy(X,Y);
 74:   BVDuplicate(X,&Z);
 75:   PetscObjectSetName((PetscObject)Z,"Z");
 76:   BVCopy(X,Z);
 77:   BVSetActiveColumns(X,l,k);
 78:   BVSetActiveColumns(Y,l,k);
 79:   BVSetActiveColumns(Z,l,k);

 81:   /* Test BVNormalize */
 82:   BVNormalize(X,NULL);
 83:   if (verbose) BVView(X,view);

 85:   /* Check unit norm of columns */
 86:   error = 0.0;
 87:   for (j=l;j<k;j++) {
 88:     BVNormColumn(X,j,NORM_2,&norm);
 89:     error = PetscMax(error,PetscAbsReal(norm-PetscRealConstant(1.0)));
 90:   }
 91:   if (error<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized vectors < 100*eps\n");
 92:   else PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized vectors: %g\n",(double)norm);

 94:   /* Create inner product matrix */
 95:   MatCreate(PETSC_COMM_WORLD,&B);
 96:   MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n);
 97:   MatSetFromOptions(B);
 98:   MatSetUp(B);
 99:   PetscObjectSetName((PetscObject)B,"B");

101:   MatGetOwnershipRange(B,&Istart,&Iend);
102:   for (i=Istart;i<Iend;i++) {
103:     if (i>0) MatSetValue(B,i,i-1,-1.0,INSERT_VALUES);
104:     if (i<n-1) MatSetValue(B,i,i+1,-1.0,INSERT_VALUES);
105:     MatSetValue(B,i,i,2.0,INSERT_VALUES);
106:   }
107:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
108:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
109:   if (verbose) MatView(B,view);

111:   /* Test BVNormalize with B-norm */
112:   BVSetMatrix(Y,B,PETSC_FALSE);
113:   BVNormalize(Y,NULL);
114:   if (verbose) BVView(Y,view);

116:   /* Check unit B-norm of columns */
117:   error = 0.0;
118:   for (j=l;j<k;j++) {
119:     BVNormColumn(Y,j,NORM_2,&norm);
120:     error = PetscMax(error,PetscAbsReal(norm-PetscRealConstant(1.0)));
121:   }
122:   if (error<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Deviation from B-normalized vectors < 100*eps\n");
123:   else PetscPrintf(PETSC_COMM_WORLD,"Deviation from B-normalized vectors: %g\n",(double)norm);

125: #if !defined(PETSC_USE_COMPLEX)
126:   /* fill imaginary parts */
127:   PetscCalloc1(k,&eigi);
128:   PetscRandomCreate(PETSC_COMM_WORLD,&rand);
129:   PetscRandomSetFromOptions(rand);
130:   for (j=l+1;j<k-1;j+=5) {
131:     PetscRandomGetValue(rand,&alpha);
132:     eigi[j]   =  alpha;
133:     eigi[j+1] = -alpha;
134:   }
135:   PetscRandomDestroy(&rand);
136:   if (verbose) {
137:     VecCreateSeqWithArray(PETSC_COMM_SELF,1,k,eigi,&v);
138:     VecView(v,view);
139:     VecDestroy(&v);
140:   }

142:   /* Test BVNormalize with complex conjugate columns */
143:   BVNormalize(Z,eigi);
144:   if (verbose) BVView(Z,view);

146:   /* Check unit norm of (complex conjugate) columns */
147:   error = 0.0;
148:   for (j=l;j<k;j++) {
149:     if (eigi[j]) {
150:       BVGetColumn(Z,j,&v);
151:       BVGetColumn(Z,j+1,&vi);
152:       VecNormBegin(v,NORM_2,&normr);
153:       VecNormBegin(vi,NORM_2,&normi);
154:       VecNormEnd(v,NORM_2,&normr);
155:       VecNormEnd(vi,NORM_2,&normi);
156:       BVRestoreColumn(Z,j+1,&vi);
157:       BVRestoreColumn(Z,j,&v);
158:       norm = SlepcAbsEigenvalue(normr,normi);
159:       j++;
160:     } else {
161:       BVGetColumn(Z,j,&v);
162:       VecNorm(v,NORM_2,&norm);
163:       BVRestoreColumn(Z,j,&v);
164:     }
165:     error = PetscMax(error,PetscAbsReal(norm-PetscRealConstant(1.0)));
166:   }
167:   if (error<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized conjugate vectors < 100*eps\n");
168:   else PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized conjugate vectors: %g\n",(double)norm);
169:   PetscFree(eigi);
170: #endif

172:   BVDestroy(&X);
173:   BVDestroy(&Y);
174:   BVDestroy(&Z);
175:   MatDestroy(&B);
176:   VecDestroy(&t);
177:   SlepcFinalize();
178:   return 0;
179: }

181: /*TEST

183:    testset:
184:       args: -n 250 -l 6 -k 15
185:       nsize: {{1 2}}
186:       requires: !complex
187:       output_file: output/test18_1.out
188:       test:
189:          suffix: 1
190:          args: -bv_type {{vecs contiguous svec mat}}
191:       test:
192:          suffix: 1_cuda
193:          args: -bv_type svec -vec_type cuda
194:          requires: cuda

196:    testset:
197:       args: -n 250 -l 6 -k 15
198:       nsize: {{1 2}}
199:       requires: complex
200:       output_file: output/test18_1_complex.out
201:       test:
202:          suffix: 1_complex
203:          args: -bv_type {{vecs contiguous svec mat}}
204:       test:
205:          suffix: 1_cuda_complex
206:          args: -bv_type svec -vec_type cuda
207:          requires: cuda

209: TEST*/