Actual source code: test17.c

slepc-3.13.3 2020-06-14
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  1: /*
  2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
  4:    Copyright (c) 2002-2020, 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 bi-orthogonalization functions.\n\n";

 13:  #include <slepcbv.h>

 15: int main(int argc,char **argv)
 16: {
 18:   BV             X,Y;
 19:   Mat            M;
 20:   Vec            v,t;
 21:   PetscInt       i,j,n=20,k=7;
 22:   PetscViewer    view;
 23:   PetscBool      verbose;
 24:   PetscReal      norm,condn=1.0;
 25:   PetscScalar    alpha;

 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:   PetscOptionsGetReal(NULL,NULL,"-condn",&condn,NULL);
 31:   if (condn<1.0) SETERRQ(PETSC_COMM_WORLD,1,"The condition number must be > 1");
 32:   PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
 33:   PetscPrintf(PETSC_COMM_WORLD,"Test BV bi-orthogonalization with %D columns of length %D.\n",k,n);
 34:   if (condn>1.0) {
 35:     PetscPrintf(PETSC_COMM_WORLD," - Using random BVs with condition number = %g\n",(double)condn);
 36:   }

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

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

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

 55:   /* Fill X entries */
 56:   if (condn==1.0) {
 57:     for (j=0;j<k;j++) {
 58:       BVGetColumn(X,j,&v);
 59:       VecSet(v,0.0);
 60:       for (i=0;i<=n/2;i++) {
 61:         if (i+j<n) {
 62:           alpha = (3.0*i+j-2)/(2*(i+j+1));
 63: #if defined(PETSC_USE_COMPLEX)
 64:           alpha += (1.2*i+j-2)/(0.1*(i+j+1))*PETSC_i;
 65: #endif
 66:           VecSetValue(v,i+j,alpha,INSERT_VALUES);
 67:         }
 68:       }
 69:       VecAssemblyBegin(v);
 70:       VecAssemblyEnd(v);
 71:       BVRestoreColumn(X,j,&v);
 72:     }
 73:   } else {
 74:     BVSetRandomCond(X,condn);
 75:   }
 76:   if (verbose) {
 77:     BVView(X,view);
 78:   }

 80:   /* Create Y and fill its entries */
 81:   BVDuplicate(X,&Y);
 82:   PetscObjectSetName((PetscObject)Y,"Y");
 83:   if (condn==1.0) {
 84:     for (j=0;j<k;j++) {
 85:       BVGetColumn(Y,j,&v);
 86:       VecSet(v,0.0);
 87:       for (i=PetscMin(n,2+(2*j)%6);i<PetscMin(n,6+(3*j)%9);i++) {
 88:         if (i%5 && i!=j) {
 89:           alpha = (1.5*i+j)/(2.2*(i-j));
 90:           VecSetValue(v,i+j,alpha,INSERT_VALUES);
 91:         }
 92:       }
 93:       VecAssemblyBegin(v);
 94:       VecAssemblyEnd(v);
 95:       BVRestoreColumn(Y,j,&v);
 96:     }
 97:   } else {
 98:     BVSetRandomCond(Y,condn);
 99:   }
100:   if (verbose) {
101:     BVView(Y,view);
102:   }

104:   /* Test BVBiorthonormalizeColumn */
105:   for (j=0;j<k;j++) {
106:     BVBiorthonormalizeColumn(X,Y,j,NULL);
107:   }
108:   if (verbose) {
109:     BVView(X,view);
110:     BVView(Y,view);
111:   }

113:   /* Check orthogonality */
114:   MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
115:   PetscObjectSetName((PetscObject)M,"M");
116:   BVDot(X,Y,M);
117:   if (verbose) {
118:     MatView(M,view);
119:   }
120:   MatShift(M,-1.0);
121:   MatNorm(M,NORM_1,&norm);
122:   if (norm<200*PETSC_MACHINE_EPSILON) {
123:     PetscPrintf(PETSC_COMM_WORLD,"Level of bi-orthogonality < 200*eps\n");
124:   } else {
125:     PetscPrintf(PETSC_COMM_WORLD,"Level of bi-orthogonality: %g\n",(double)norm);
126:   }

128:   MatDestroy(&M);
129:   BVDestroy(&X);
130:   BVDestroy(&Y);
131:   VecDestroy(&t);
132:   SlepcFinalize();
133:   return ierr;
134: }

136: /*TEST

138:    test:
139:       suffix: 1
140:       nsize: 1
141:       args: -bv_type {{vecs contiguous svec mat}} -bv_orthog_type cgs
142:       requires: double
143:       output_file: output/test17_1.out

145:    test:
146:       suffix: 1_cuda
147:       nsize: 1
148:       args: -bv_type svec -vec_type cuda -bv_orthog_type cgs
149:       requires: cuda
150:       output_file: output/test17_1.out

152:    test:
153:       suffix: 2
154:       nsize: 1
155:       args: -bv_type {{vecs contiguous svec mat}} -bv_orthog_type mgs
156:       output_file: output/test17_1.out

158:    test:
159:       suffix: 2_cuda
160:       nsize: 1
161:       args: -bv_type svec -vec_type cuda -bv_orthog_type mgs
162:       requires: cuda
163:       output_file: output/test17_1.out

165: TEST*/