Actual source code: test18.c

slepc-3.18.2 2023-01-26
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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

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

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

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

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

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

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

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

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

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

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

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

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

126: #if !defined(PETSC_USE_COMPLEX)
127:   /* fill imaginary parts */
128:   PetscCalloc1(k,&eigi);
129:   PetscRandomCreate(PETSC_COMM_WORLD,&rand);
130:   PetscRandomSetFromOptions(rand);
131:   for (j=l+1;j<k-1;j+=5) {
132:     PetscRandomGetValue(rand,&alpha);
133:     eigi[j]   =  alpha;
134:     eigi[j+1] = -alpha;
135:   }
136:   PetscRandomDestroy(&rand);
137:   if (verbose) {
138:     VecCreateSeqWithArray(PETSC_COMM_SELF,1,k,eigi,&v);
139:     VecView(v,view);
140:     VecDestroy(&v);
141:   }

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

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

173:   BVDestroy(&X);
174:   BVDestroy(&Y);
175:   BVDestroy(&Z);
176:   MatDestroy(&B);
177:   VecDestroy(&t);
178:   SlepcFinalize();
179:   return 0;
180: }

182: /*TEST

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

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

210: TEST*/