Actual source code: test16.c

slepc-3.17.2 2022-08-09
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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 tensor BV.\n\n";

 13: #include <slepcbv.h>

 15: int main(int argc,char **argv)
 16: {
 17:   Vec               t,v;
 18:   Mat               S,M,Q;
 19:   BV                U,V,UU;
 20:   PetscInt          i,ii,j,jj,n=10,k=6,l=3,d=3,deg,id,lds;
 21:   PetscScalar       *pS,*q;
 22:   PetscReal         norm;
 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:   PetscOptionsGetInt(NULL,NULL,"-l",&l,NULL);
 30:   PetscOptionsGetInt(NULL,NULL,"-d",&d,NULL);
 31:   PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
 32:   PetscPrintf(PETSC_COMM_WORLD,"Test tensor BV of degree %" PetscInt_FMT " with %" PetscInt_FMT " columns of dimension %" PetscInt_FMT "*d.\n",d,k,n);

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

 39:   /* Create BV object U */
 40:   BVCreate(PETSC_COMM_WORLD,&U);
 41:   PetscObjectSetName((PetscObject)U,"U");
 42:   BVSetSizesFromVec(U,t,k+d-1);
 43:   BVSetFromOptions(U);
 44:   PetscObjectSetName((PetscObject)U,"U");

 46:   /* Fill first d columns of U */
 47:   for (j=0;j<d;j++) {
 48:     BVGetColumn(U,j,&v);
 49:     VecSet(v,0.0);
 50:     for (i=0;i<4;i++) {
 51:       if (i+j<n) VecSetValue(v,i+j,(PetscScalar)(3*i+j-2),INSERT_VALUES);
 52:     }
 53:     VecAssemblyBegin(v);
 54:     VecAssemblyEnd(v);
 55:     BVRestoreColumn(U,j,&v);
 56:   }

 58:   /* Create tensor BV */
 59:   BVCreateTensor(U,d,&V);
 60:   PetscObjectSetName((PetscObject)V,"V");
 61:   BVTensorGetDegree(V,&deg);

 64:   /* Set up viewer */
 65:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
 66:   PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_INFO_DETAIL);
 67:   BVView(V,view);
 68:   PetscViewerPopFormat(view);
 69:   if (verbose) {
 70:     PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
 71:     BVView(V,view);
 72:   }

 74:   /* Build first column from previously introduced coefficients */
 75:   BVTensorBuildFirstColumn(V,d);
 76:   if (verbose) {
 77:     PetscPrintf(PETSC_COMM_WORLD,"After building the first column - - - - -\n");
 78:     BVView(V,view);
 79:   }

 81:   /* Test orthogonalization */
 82:   BVTensorGetFactors(V,&UU,&S);
 83:   BVGetActiveColumns(UU,NULL,&j);
 84:   BVGetSizes(UU,NULL,NULL,&id);
 86:   lds = id*d;
 87:   for (jj=1;jj<k;jj++) {
 88:     /* set new orthogonal column in U */
 89:     BVGetColumn(UU,j,&v);
 90:     VecSet(v,0.0);
 91:     for (i=0;i<4;i++) {
 92:       if (i+j<n) VecSetValue(v,i+j,(PetscScalar)(3*i+j-2),INSERT_VALUES);
 93:     }
 94:     VecAssemblyBegin(v);
 95:     VecAssemblyEnd(v);
 96:     BVRestoreColumn(UU,j,&v);
 97:     BVOrthonormalizeColumn(UU,j,PETSC_TRUE,NULL,NULL);
 98:     j++;
 99:     BVSetActiveColumns(UU,0,j);
100:     /* set new column of S */
101:     MatDenseGetArray(S,&pS);
102:     for (ii=0;ii<d;ii++) {
103:       for (i=0;i<ii+jj+1;i++) {
104:         pS[i+ii*id+jj*lds] = (PetscScalar)(2*ii+i+0.5*jj);
105:       }
106:     }
107:     MatDenseRestoreArray(S,&pS);
108:     BVOrthonormalizeColumn(V,jj,PETSC_TRUE,NULL,NULL);
109:   }
110:   BVTensorRestoreFactors(V,&UU,&S);
111:   if (verbose) {
112:     PetscPrintf(PETSC_COMM_WORLD,"After orthogonalization - - - - -\n");
113:     BVView(V,view);
114:   }

116:   /* Check orthogonality */
117:   MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
118:   BVDot(V,V,M);
119:   MatShift(M,-1.0);
120:   MatNorm(M,NORM_1,&norm);
121:   if (norm<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
122:   else PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm);

124:   /* Test BVTensorCompress */
125:   BVSetActiveColumns(V,0,l);
126:   BVTensorCompress(V,0);
127:   if (verbose) {
128:     PetscPrintf(PETSC_COMM_WORLD,"After BVTensorCompress - - - - -\n");
129:     BVView(V,view);
130:   }

132:   /* Create Mat */
133:   MatCreateSeqDense(PETSC_COMM_SELF,k,l,NULL,&Q);
134:   PetscObjectSetName((PetscObject)Q,"Q");
135:   MatDenseGetArray(Q,&q);
136:   for (i=0;i<k;i++)
137:     for (j=0;j<l;j++)
138:       q[i+j*k] = (i<j)? 2.0: -0.5;
139:   MatDenseRestoreArray(Q,&q);
140:   if (verbose) MatView(Q,NULL);

142:   /* Test BVMultInPlace */
143:   BVMultInPlace(V,Q,1,l);
144:   if (verbose) {
145:     PetscPrintf(PETSC_COMM_WORLD,"After BVMultInPlace - - - - -\n");
146:     BVView(V,view);
147:   }

149:   /* Test BVNorm */
150:   BVNorm(V,NORM_1,&norm);
151:   PetscPrintf(PETSC_COMM_WORLD,"Norm: %g\n",(double)norm);

153:   BVDestroy(&U);
154:   BVDestroy(&V);
155:   MatDestroy(&Q);
156:   MatDestroy(&M);
157:   VecDestroy(&t);
158:   SlepcFinalize();
159:   return 0;
160: }

162: /*TEST

164:    test:
165:       suffix: 1
166:       nsize: 2
167:       args: -bv_type {{vecs contiguous svec mat}shared output}
168:       output_file: output/test16_1.out
169:       filter: grep -v "doing matmult"

171: TEST*/