Actual source code: test17.c

slepc-3.11.2 2019-07-30
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  1: /*
  2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
  4:    Copyright (c) 2002-2019, 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:           VecSetValue(v,i+j,alpha,INSERT_VALUES);
 64:         }
 65:       }
 66:       VecAssemblyBegin(v);
 67:       VecAssemblyEnd(v);
 68:       BVRestoreColumn(X,j,&v);
 69:     }
 70:   } else {
 71:     BVSetRandomCond(X,condn);
 72:   }
 73:   if (verbose) {
 74:     BVView(X,view);
 75:   }

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

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

110:   /* Check orthogonality */
111:   MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
112:   PetscObjectSetName((PetscObject)M,"M");
113:   BVDot(X,Y,M);
114:   if (verbose) {
115:     MatView(M,view);
116:   }
117:   MatShift(M,-1.0);
118:   MatNorm(M,NORM_1,&norm);
119:   if (norm<100*PETSC_MACHINE_EPSILON) {
120:     PetscPrintf(PETSC_COMM_WORLD,"Level of bi-orthogonality < 100*eps\n");
121:   } else {
122:     PetscPrintf(PETSC_COMM_WORLD,"Level of bi-orthogonality: %g\n",(double)norm);
123:   }

125:   MatDestroy(&M);
126:   BVDestroy(&X);
127:   BVDestroy(&Y);
128:   VecDestroy(&t);
129:   SlepcFinalize();
130:   return ierr;
131: }

133: /*TEST

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

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

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

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

162: TEST*/