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 a GHEP problem with symmetric matrices.\n\n";

 13: #include <slepceps.h>

 15: int main(int argc,char **argv)
 16: {
 17:   Mat            A,B;        /* matrices */
 18:   EPS            eps;        /* eigenproblem solver context */
 19:   ST             st;
 20:   KSP            ksp;
 21:   PC             pc;
 22:   PCType         pctype;
 23:   PetscInt       N,n=45,m,Istart,Iend,II,i,j;
 24:   PetscBool      flag;

 26:   PetscFunctionBeginUser;
 27:   PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
 28:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
 29:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag));
 30:   if (!flag) m=n;
 31:   N = n*m;
 32:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nGeneralized Symmetric Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m));

 34:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 35:      Compute the matrices that define the eigensystem, Ax=kBx
 36:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 38:   PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
 39:   PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
 40:   PetscCall(MatSetFromOptions(A));

 42:   PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
 43:   PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N));
 44:   PetscCall(MatSetFromOptions(B));

 46:   PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
 47:   for (II=Istart;II<Iend;II++) {
 48:     i = II/n; j = II-i*n;
 49:     if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES));
 50:     if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES));
 51:     if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES));
 52:     if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES));
 53:     PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES));
 54:     PetscCall(MatSetValue(B,II,II,2.0/PetscLogScalar(II+2),INSERT_VALUES));
 55:   }
 56:   PetscCall(MatSetValue(B,0,1,0.4,INSERT_VALUES));
 57:   PetscCall(MatSetValue(B,1,0,0.4,INSERT_VALUES));

 59:   PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
 60:   PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
 61:   PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
 62:   PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));

 64:   PetscCall(MatSetOption(A,MAT_SYMMETRIC,PETSC_TRUE));
 65:   PetscCall(MatSetOption(A,MAT_HERMITIAN,PETSC_TRUE));
 66:   PetscCall(MatSetOption(B,MAT_SYMMETRIC,PETSC_TRUE));
 67:   PetscCall(MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE));

 69:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 70:                 Create the eigensolver and solve the problem
 71:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 73:   PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
 74:   PetscCall(EPSSetOperators(eps,A,B));
 75:   PetscCall(EPSSetProblemType(eps,EPS_GHEP));
 76:   PetscCall(EPSSetFromOptions(eps));
 77:   PetscCall(EPSSetUp(eps));
 78:   PetscCall(EPSGetST(eps,&st));
 79:   PetscCall(STGetKSP(st,&ksp));
 80:   PetscCall(KSPGetPC(ksp,&pc));
 81:   PetscCall(PCGetType(pc,&pctype));
 82:   PetscCall(PetscPrintf(PETSC_COMM_WORLD," Using %s for the PC\n",pctype));
 83:   PetscCall(EPSSolve(eps));
 84:   PetscCall(EPSErrorView(eps,EPS_ERROR_BACKWARD,NULL));

 86:   PetscCall(EPSDestroy(&eps));
 87:   PetscCall(MatDestroy(&A));
 88:   PetscCall(MatDestroy(&B));
 89:   PetscCall(SlepcFinalize());
 90:   return 0;
 91: }

 93: /*TEST

 95:    test:
 96:       suffix: 1
 97:       args: -n 18 -eps_nev 3 -st_type sinvert -eps_target 1.02

 99:    test:
100:       suffix: 2
101:       args: -n 18 -eps_type ciss -rg_interval_endpoints 1.0,1.2
102:       requires: !single

104:    testset:
105:       nsize: {{1 4}}
106:       args: -n 8 -eps_nev 60 -st_pc_type redundant
107:       filter: grep -v Using
108:       requires: !single
109:       output_file: output/test32_3.out
110:       test:
111:          suffix: 3
112:       test:
113:          suffix: 3_gnhep
114:          args: -eps_gen_non_hermitian

116:    testset:
117:       nsize: {{1 4}}
118:       args: -n 8 -eps_nev 64 -st_pc_type redundant
119:       filter: grep -v Using
120:       requires: !single
121:       output_file: output/test32_4.out
122:       test:
123:          suffix: 4
124:       test:
125:          suffix: 4_gnhep
126:          args: -eps_gen_non_hermitian

128:    testset:
129:       requires: !single
130:       args: -eps_tol 1e-10 -st_type sinvert -st_ksp_type preonly -st_pc_type cholesky -eps_interval .8,1.1 -eps_krylovschur_partitions 2
131:       output_file: output/test32_5.out
132:       nsize: 3
133:       filter: grep -v Using
134:       test:
135:          suffix: 5_redundant
136:          args: -st_pc_type redundant -st_redundant_pc_type cholesky
137:       test:
138:          suffix: 5_mumps
139:          requires: mumps !complex
140:          args: -st_pc_factor_mat_solver_type mumps -st_mat_mumps_icntl_13 1
141:       test:
142:          suffix: 5_superlu
143:          requires: superlu_dist
144:          args: -st_pc_factor_mat_solver_type superlu_dist -st_mat_superlu_dist_rowperm NOROWPERM
145:          timeoutfactor: 10

147: TEST*/