Actual source code: test28.c

slepc-3.17.0 2022-03-31
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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[] = "Tests multiple calls to EPSSolve with different matrix of different size.\n\n"
 12:   "The command line options are:\n"
 13:   "  -n <n>, where <n> = number of grid subdivisions in x dimension.\n"
 14:   "  -m <m>, where <m> = number of grid subdivisions in y dimension.\n\n";

 16: #include <slepceps.h>

 18: int main(int argc,char **argv)
 19: {
 20:   Mat            A,B;
 21:   EPS            eps;
 22:   PetscInt       N,n=10,m=11,Istart,Iend,II,nev=3,i,j;
 23:   PetscBool      flag,terse;

 25:   SlepcInitialize(&argc,&argv,(char*)0,help);
 26:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
 27:   PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag);
 28:   N = n*m;
 29:   PetscPrintf(PETSC_COMM_WORLD,"\n2-D Laplacian Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m);

 31:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 32:                 Create the 2-D Laplacian with coarse mesh
 33:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 35:   MatCreate(PETSC_COMM_WORLD,&A);
 36:   MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N);
 37:   MatSetFromOptions(A);
 38:   MatSetUp(A);
 39:   MatGetOwnershipRange(A,&Istart,&Iend);
 40:   for (II=Istart;II<Iend;II++) {
 41:     i = II/n; j = II-i*n;
 42:     if (i>0) MatSetValue(A,II,II-n,-1.0,INSERT_VALUES);
 43:     if (i<m-1) MatSetValue(A,II,II+n,-1.0,INSERT_VALUES);
 44:     if (j>0) MatSetValue(A,II,II-1,-1.0,INSERT_VALUES);
 45:     if (j<n-1) MatSetValue(A,II,II+1,-1.0,INSERT_VALUES);
 46:     MatSetValue(A,II,II,4.0,INSERT_VALUES);
 47:   }
 48:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
 49:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);

 51:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 52:         Create the eigensolver, set options and solve the eigensystem
 53:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 55:   EPSCreate(PETSC_COMM_WORLD,&eps);
 56:   EPSSetOperators(eps,A,NULL);
 57:   EPSSetProblemType(eps,EPS_HEP);
 58:   EPSSetWhichEigenpairs(eps,EPS_SMALLEST_REAL);
 59:   EPSSetDimensions(eps,nev,PETSC_DEFAULT,PETSC_DEFAULT);
 60:   EPSSetFromOptions(eps);

 62:   EPSSolve(eps);

 64:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 65:                     Display solution of first solve
 66:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 68:   PetscOptionsHasName(NULL,NULL,"-terse",&terse);
 69:   if (terse) EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL);
 70:   else {
 71:     PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL);
 72:     EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD);
 73:     EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD);
 74:     PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD);
 75:   }

 77:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 78:                Create the 2-D Laplacian with finer mesh
 79:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 81:   n *= 2;
 82:   m *= 2;
 83:   N = n*m;
 84:   PetscPrintf(PETSC_COMM_WORLD,"\n2-D Laplacian Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m);

 86:   MatCreate(PETSC_COMM_WORLD,&B);
 87:   MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N);
 88:   MatSetFromOptions(B);
 89:   MatSetUp(B);
 90:   MatGetOwnershipRange(B,&Istart,&Iend);
 91:   for (II=Istart;II<Iend;II++) {
 92:     i = II/n; j = II-i*n;
 93:     if (i>0) MatSetValue(B,II,II-n,-1.0,INSERT_VALUES);
 94:     if (i<m-1) MatSetValue(B,II,II+n,-1.0,INSERT_VALUES);
 95:     if (j>0) MatSetValue(B,II,II-1,-1.0,INSERT_VALUES);
 96:     if (j<n-1) MatSetValue(B,II,II+1,-1.0,INSERT_VALUES);
 97:     MatSetValue(B,II,II,4.0,INSERT_VALUES);
 98:   }
 99:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
100:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);

102:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
103:        Solve again, calling EPSReset() since matrix size has changed
104:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

106:   /*EPSReset(eps);*/  /* not required, will be called in EPSSetOperators() */
107:   EPSSetOperators(eps,B,NULL);
108:   EPSSolve(eps);

110:   if (terse) EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL);
111:   else {
112:     PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL);
113:     EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD);
114:     EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD);
115:     PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD);
116:   }

118:   EPSDestroy(&eps);
119:   MatDestroy(&A);
120:   MatDestroy(&B);
121:   SlepcFinalize();
122:   return 0;
123: }

125: /*TEST

127:    testset:
128:       requires: !single
129:       output_file: output/test28_1.out
130:       test:
131:          suffix: 1
132:          args: -eps_type {{krylovschur arnoldi gd jd rqcg lobpcg lapack}} -terse
133:       test:
134:          suffix: 1_lanczos
135:          args: -eps_type lanczos -eps_lanczos_reorthog local -terse

137:    test:
138:       suffix: 2
139:       args: -eps_type {{power subspace}} -eps_target 8 -st_type sinvert -terse

141:    testset:
142:       args: -eps_interval 0.5,0.67 -terse
143:       output_file: output/test28_3.out
144:       test:
145:          suffix: 3
146:          args: -st_type sinvert -st_pc_type cholesky
147:          requires: !single
148:       test:
149:          suffix: 3_evsl
150:          nsize: {{1 2}}
151:          args: -eps_type evsl -eps_evsl_dos_method lanczos
152:          requires: evsl

154: TEST*/