Actual source code: test2.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 the same matrix.\n\n";

 13: #include <slepceps.h>

 15: int main(int argc,char **argv)
 16: {
 17:   Mat            A;           /* problem matrix */
 18:   EPS            eps;         /* eigenproblem solver context */
 19:   ST             st;
 20:   PetscReal      tol=PetscMax(1000*PETSC_MACHINE_EPSILON,1e-9);
 21:   PetscInt       n=30,i,Istart,Iend;
 22:   PetscBool      flg;
 23:   EPSLanczosReorthogType reorth;

 25:   SlepcInitialize(&argc,&argv,(char*)0,help);

 27:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
 28:   PetscPrintf(PETSC_COMM_WORLD,"\n1-D Laplacian Eigenproblem, n=%" PetscInt_FMT "\n\n",n);

 30:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 31:      Compute the operator matrix that defines the eigensystem, Ax=kx
 32:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 34:   MatCreate(PETSC_COMM_WORLD,&A);
 35:   MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,n);
 36:   MatSetFromOptions(A);
 37:   MatSetUp(A);

 39:   MatGetOwnershipRange(A,&Istart,&Iend);
 40:   for (i=Istart;i<Iend;i++) {
 41:     if (i>0) MatSetValue(A,i,i-1,-1.0,INSERT_VALUES);
 42:     if (i<n-1) MatSetValue(A,i,i+1,-1.0,INSERT_VALUES);
 43:     MatSetValue(A,i,i,2.0,INSERT_VALUES);
 44:   }
 45:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
 46:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);

 48:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 49:                         Create the eigensolver
 50:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
 51:   EPSCreate(PETSC_COMM_WORLD,&eps);
 52:   EPSSetOperators(eps,A,NULL);
 53:   EPSSetProblemType(eps,EPS_HEP);
 54:   EPSSetTolerances(eps,tol,PETSC_DEFAULT);
 55:   EPSSetFromOptions(eps);

 57:   /* illustrate how to extract parameters from specific solver types */
 58:   PetscObjectTypeCompare((PetscObject)eps,EPSLANCZOS,&flg);
 59:   if (flg) {
 60:     EPSLanczosGetReorthog(eps,&reorth);
 61:     PetscPrintf(PETSC_COMM_WORLD,"Reorthogonalization type used in Lanczos: %s\n",EPSLanczosReorthogTypes[reorth]);
 62:   }

 64:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 65:                     Solve for largest eigenvalues
 66:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
 67:   EPSSetWhichEigenpairs(eps,EPS_LARGEST_REAL);
 68:   EPSSolve(eps);
 69:   PetscPrintf(PETSC_COMM_WORLD," - - - Largest eigenvalues - - -\n");
 70:   EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL);

 72:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 73:                     Solve for smallest eigenvalues
 74:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
 75:   EPSSetWhichEigenpairs(eps,EPS_SMALLEST_REAL);
 76:   EPSSolve(eps);
 77:   PetscPrintf(PETSC_COMM_WORLD," - - - Smallest eigenvalues - - -\n");
 78:   EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL);

 80:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 81:                     Solve for interior eigenvalues (target=2.1)
 82:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
 83:   EPSSetWhichEigenpairs(eps,EPS_TARGET_MAGNITUDE);
 84:   EPSSetTarget(eps,2.1);
 85:   PetscObjectTypeCompare((PetscObject)eps,EPSLANCZOS,&flg);
 86:   if (flg) {
 87:     EPSGetST(eps,&st);
 88:     STSetType(st,STSINVERT);
 89:   } else {
 90:     PetscObjectTypeCompare((PetscObject)eps,EPSKRYLOVSCHUR,&flg);
 91:     if (!flg) PetscObjectTypeCompare((PetscObject)eps,EPSARNOLDI,&flg);
 92:     if (flg) EPSSetExtraction(eps,EPS_HARMONIC);
 93:   }
 94:   EPSSolve(eps);
 95:   PetscPrintf(PETSC_COMM_WORLD," - - - Interior eigenvalues - - -\n");
 96:   EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL);

 98:   EPSDestroy(&eps);
 99:   MatDestroy(&A);
100:   SlepcFinalize();
101:   return 0;
102: }

104: /*TEST

106:    testset:
107:       args: -eps_nev 4
108:       requires: !single
109:       output_file: output/test2_1.out
110:       test:
111:          suffix: 1
112:          args: -eps_type {{arnoldi gd jd lapack}}
113:       test:
114:          suffix: 1_gd2
115:          args: -eps_type gd -eps_gd_double_expansion
116:          timeoutfactor: 2
117:       test:
118:          suffix: 1_krylovschur
119:          args: -eps_type krylovschur -eps_krylovschur_locking {{0 1}}
120:       test:
121:          suffix: 1_scalapack
122:          requires: scalapack
123:          args: -eps_type scalapack
124:       test:
125:          suffix: 1_elpa
126:          requires: elpa
127:          args: -eps_type elpa
128:       test:
129:          suffix: 1_elemental
130:          requires: elemental
131:          args: -eps_type elemental

133:    testset:
134:       args: -eps_type lanczos -eps_nev 4
135:       requires: !single
136:       filter: grep -v "Lanczos"
137:       output_file: output/test2_1.out
138:       test:
139:          suffix: 2
140:          args: -eps_lanczos_reorthog {{local full selective periodic partial}}

142:    testset:
143:       args: -n 32 -eps_nev 4
144:       requires: !single
145:       output_file: output/test2_3.out
146:       test:
147:          nsize: 2
148:          suffix: 3
149:          args: -eps_type {{krylovschur lapack}}
150:       test:
151:          nsize: 2
152:          suffix: 3_gd
153:          args: -eps_type gd -eps_gd_krylov_start
154:          timeoutfactor: 2
155:       test:
156:          suffix: 3_jd
157:          args: -eps_type jd -eps_jd_krylov_start -eps_ncv 18

159:    testset:
160:       args: -eps_nev 4 -mat_type aijcusparse
161:       requires: cuda !single
162:       output_file: output/test2_1.out
163:       test:
164:          suffix: 4_cuda
165:          args: -eps_type {{krylovschur arnoldi gd jd}}

167: TEST*/