Actual source code: test8.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 orthogonalization with selected columns.\n\n";

 13: #include <slepcbv.h>

 15: int main(int argc,char **argv)
 16: {
 18:   BV             X;
 19:   Vec            v,t,z;
 20:   PetscInt       i,j,n=20,k=8;
 21:   PetscViewer    view;
 22:   PetscBool      verbose,*which;
 23:   PetscReal      norm;
 24:   PetscScalar    alpha,*pz;

 26:   SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
 27:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
 28:   PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL);
 29:   PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
 30:   PetscPrintf(PETSC_COMM_WORLD,"Test BV orthogonalization with selected columns of length %D.\n",n);

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

 37:   /* Create BV object X */
 38:   BVCreate(PETSC_COMM_WORLD,&X);
 39:   PetscObjectSetName((PetscObject)X,"X");
 40:   BVSetSizesFromVec(X,t,k);
 41:   BVSetOrthogonalization(X,BV_ORTHOG_MGS,BV_ORTHOG_REFINE_IFNEEDED,PETSC_DEFAULT,BV_ORTHOG_BLOCK_GS);
 42:   BVSetFromOptions(X);

 44:   /* Set up viewer */
 45:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
 46:   if (verbose) {
 47:     PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
 48:   }

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

 68:   /* Orthonormalize first k-1 columns */
 69:   for (j=0;j<k-1;j++) {
 70:     BVOrthogonalizeColumn(X,j,NULL,&norm,NULL);
 71:     alpha = 1.0/norm;
 72:     BVScaleColumn(X,j,alpha);
 73:   }
 74:   if (verbose) {
 75:     BVView(X,view);
 76:   }

 78:   /* Select odd columns and orthogonalize last column against those only */
 79:   PetscMalloc1(k,&which);
 80:   for (i=0;i<k;i++) which[i] = (i%2)? PETSC_TRUE: PETSC_FALSE;
 81:   BVOrthogonalizeSomeColumn(X,k-1,which,NULL,NULL,NULL);
 82:   PetscFree(which);
 83:   if (verbose) {
 84:     BVView(X,view);
 85:   }

 87:   /* Check orthogonality */
 88:   PetscPrintf(PETSC_COMM_WORLD,"Orthogonalization coefficients:\n");
 89:   VecCreateSeq(PETSC_COMM_SELF,k-1,&z);
 90:   PetscObjectSetName((PetscObject)z,"z");
 91:   VecGetArray(z,&pz);
 92:   BVDotColumn(X,k-1,pz);
 93:   for (i=0;i<k-1;i++) {
 94:     if (PetscAbsScalar(pz[i])<5.0*PETSC_MACHINE_EPSILON) pz[i]=0.0;
 95:   }
 96:   VecRestoreArray(z,&pz);
 97:   VecView(z,view);
 98:   VecDestroy(&z);

100:   BVDestroy(&X);
101:   VecDestroy(&t);
102:   SlepcFinalize();
103:   return ierr;
104: }

106: /*TEST

108:    test:
109:       suffix: 1
110:       nsize: 1
111:       args: -bv_type {{vecs contiguous svec mat}shared output}
112:       output_file: output/test8_1.out

114:    test:
115:       suffix: 1_cuda
116:       nsize: 1
117:       args: -bv_type svec -vec_type cuda
118:       requires: cuda
119:       output_file: output/test8_1.out

121:    test:
122:       suffix: 2
123:       nsize: 1
124:       args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_refine never
125:       requires: !single
126:       output_file: output/test8_1.out

128:    test:
129:       suffix: 3
130:       nsize: 1
131:       args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_refine always
132:       output_file: output/test8_1.out

134:    test:
135:       suffix: 4
136:       nsize: 1
137:       args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs
138:       output_file: output/test8_1.out

140:    test:
141:       suffix: 4_cuda
142:       nsize: 1
143:       args: -bv_type svec -vec_type cuda -bv_orthog_type mgs
144:       requires: cuda
145:       output_file: output/test8_1.out

147: TEST*/