Actual source code: test5.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 operations with indefinite inner product.\n\n";

 13: #include <slepcbv.h>

 15: int main(int argc,char **argv)
 16: {
 18:   Vec            t,v,w,omega;
 19:   Mat            B,M;
 20:   BV             X,Y;
 21:   PetscInt       i,j,n=10,k=5,l,Istart,Iend;
 22:   PetscScalar    alpha;
 23:   PetscReal      nrm;
 24:   PetscViewer    view;
 25:   PetscBool      verbose;

 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:   PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
 31:   PetscPrintf(PETSC_COMM_WORLD,"Test BV with indefinite inner product (n=%D, k=%D).\n",n,k);

 33:   /* Create inner product matrix (standard involutionary permutation) */
 34:   MatCreate(PETSC_COMM_WORLD,&B);
 35:   MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n);
 36:   MatSetFromOptions(B);
 37:   MatSetUp(B);
 38:   PetscObjectSetName((PetscObject)B,"B");

 40:   MatGetOwnershipRange(B,&Istart,&Iend);
 41:   for (i=Istart;i<Iend;i++) {
 42:     MatSetValue(B,i,n-i-1,1.0,INSERT_VALUES);
 43:   }
 44:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
 45:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
 46:   MatCreateVecs(B,&t,NULL);

 48:   /* Create BV object X */
 49:   BVCreate(PETSC_COMM_WORLD,&X);
 50:   PetscObjectSetName((PetscObject)X,"X");
 51:   BVSetSizesFromVec(X,t,k);
 52:   BVSetFromOptions(X);
 53:   BVSetMatrix(X,B,PETSC_TRUE);

 55:   /* Set up viewer */
 56:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
 57:   if (verbose) {
 58:     PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
 59:   }

 61:   /* Fill X entries */
 62:   l = -3;
 63:   for (j=0;j<k;j++) {
 64:     BVGetColumn(X,j,&v);
 65:     VecSet(v,-1.0);
 66:     for (i=0;i<n/2;i++) {
 67:       if (i+j<n) {
 68:         l = (l + 3*i+j-2) % n;
 69:         VecSetValue(v,i+j,(PetscScalar)l,INSERT_VALUES);
 70:       }
 71:     }
 72:     VecAssemblyBegin(v);
 73:     VecAssemblyEnd(v);
 74:     BVRestoreColumn(X,j,&v);
 75:   }
 76:   if (verbose) {
 77:     MatView(B,view);
 78:     BVView(X,view);
 79:   }

 81:   /* Test BVNormColumn */
 82:   BVNormColumn(X,0,NORM_2,&nrm);
 83:   PetscPrintf(PETSC_COMM_WORLD,"B-Norm of X[0] = %g\n",(double)nrm);

 85:   /* Test BVOrthogonalizeColumn */
 86:   for (j=0;j<k;j++) {
 87:     BVOrthogonalizeColumn(X,j,NULL,&nrm,NULL);
 88:     alpha = 1.0/nrm;
 89:     BVScaleColumn(X,j,alpha);
 90:   }
 91:   if (verbose) {
 92:     BVView(X,view);
 93:   }

 95:   /* Create a copy on Y */
 96:   BVDuplicate(X,&Y);
 97:   PetscObjectSetName((PetscObject)Y,"Y");
 98:   BVCopy(X,Y);

100:   /* Check orthogonality */
101:   MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
102:   BVDot(Y,Y,M);
103:   VecCreateSeq(PETSC_COMM_SELF,k,&omega);
104:   BVGetSignature(Y,omega);
105:   VecScale(omega,-1.0);
106:   MatDiagonalSet(M,omega,ADD_VALUES);
107:   MatNorm(M,NORM_1,&nrm);
108:   if (nrm<100*PETSC_MACHINE_EPSILON) {
109:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
110:   } else {
111:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)nrm);
112:   }

114:   /* Test BVSetSignature */
115:   VecScale(omega,-1.0);
116:   BVSetSignature(Y,omega);
117:   VecDestroy(&omega);

119:   /* Test BVApplyMatrix */
120:   VecDuplicate(t,&w);
121:   BVGetColumn(X,0,&v);
122:   BVApplyMatrix(X,v,w);
123:   BVApplyMatrix(X,w,t);
124:   VecAXPY(t,-1.0,v);
125:   BVRestoreColumn(X,0,&v);
126:   VecNorm(t,NORM_2,&nrm);
127:   if (PetscAbsReal(nrm)>10*PETSC_MACHINE_EPSILON) SETERRQ1(PETSC_COMM_WORLD,1,"Wrong value, nrm = %g\n",(double)nrm);

129:   BVApplyMatrixBV(X,Y);
130:   BVGetColumn(Y,0,&v);
131:   VecAXPY(w,-1.0,v);
132:   BVRestoreColumn(Y,0,&v);
133:   VecNorm(w,NORM_2,&nrm);
134:   if (PetscAbsReal(nrm)>10*PETSC_MACHINE_EPSILON) SETERRQ1(PETSC_COMM_WORLD,1,"Wrong value, nrm = %g\n",(double)nrm);

136:   BVDestroy(&X);
137:   BVDestroy(&Y);
138:   MatDestroy(&M);
139:   MatDestroy(&B);
140:   VecDestroy(&w);
141:   VecDestroy(&t);
142:   SlepcFinalize();
143:   return ierr;
144: }

146: /*TEST

148:    test:
149:       suffix: 1
150:       nsize: 1
151:       args: -bv_orthog_refine always -bv_type {{vecs contiguous svec mat}shared output}
152:       output_file: output/test5_1.out

154:    test:
155:       suffix: 1_cuda
156:       nsize: 1
157:       args: -bv_orthog_refine always -bv_type svec -mat_type aijcusparse
158:       requires: cuda
159:       output_file: output/test5_1.out

161:    test:
162:       suffix: 2
163:       nsize: 1
164:       args: -bv_orthog_refine always -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs
165:       output_file: output/test5_1.out

167:    test:
168:       suffix: 2_cuda
169:       nsize: 1
170:       args: -bv_orthog_refine always -bv_type svec -mat_type aijcusparse -bv_orthog_type mgs
171:       requires: cuda
172:       output_file: output/test5_1.out


175: TEST*/