Actual source code: test8.c

slepc-3.16.0 2021-09-30
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  1: /*
  2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
  4:    Copyright (c) 2002-2021, 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 NEP view and monitor functionality.\n\n";

 13: #include <slepcnep.h>

 15: int main(int argc,char **argv)
 16: {
 17:   Mat                A[3];
 18:   FN                 f[3];
 19:   NEP                nep;
 20:   Vec                xr,xi;
 21:   PetscScalar        kr,ki,coeffs[3];
 22:   PetscComplex       *eigs,eval;
 23:   PetscInt           n=6,i,Istart,Iend,nconv,its;
 24:   PetscReal          errest;
 25:   PetscBool          checkfile;
 26:   char               filename[PETSC_MAX_PATH_LEN];
 27:   PetscViewer        viewer;
 28:   PetscErrorCode     ierr;

 30:   SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
 31:   PetscPrintf(PETSC_COMM_WORLD,"\nDiagonal Nonlinear Eigenproblem, n=%D\n\n",n);

 33:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 34:         Generate the matrices
 35:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 37:   MatCreate(PETSC_COMM_WORLD,&A[0]);
 38:   MatSetSizes(A[0],PETSC_DECIDE,PETSC_DECIDE,n,n);
 39:   MatSetFromOptions(A[0]);
 40:   MatSetUp(A[0]);
 41:   MatGetOwnershipRange(A[0],&Istart,&Iend);
 42:   for (i=Istart;i<Iend;i++) {
 43:     MatSetValue(A[0],i,i,i+1,INSERT_VALUES);
 44:   }
 45:   MatAssemblyBegin(A[0],MAT_FINAL_ASSEMBLY);
 46:   MatAssemblyEnd(A[0],MAT_FINAL_ASSEMBLY);

 48:   MatCreate(PETSC_COMM_WORLD,&A[1]);
 49:   MatSetSizes(A[1],PETSC_DECIDE,PETSC_DECIDE,n,n);
 50:   MatSetFromOptions(A[1]);
 51:   MatSetUp(A[1]);
 52:   for (i=Istart;i<Iend;i++) {
 53:     MatSetValue(A[1],i,i,-1.5,INSERT_VALUES);
 54:   }
 55:   MatAssemblyBegin(A[1],MAT_FINAL_ASSEMBLY);
 56:   MatAssemblyEnd(A[1],MAT_FINAL_ASSEMBLY);

 58:   MatCreate(PETSC_COMM_WORLD,&A[2]);
 59:   MatSetSizes(A[2],PETSC_DECIDE,PETSC_DECIDE,n,n);
 60:   MatSetFromOptions(A[2]);
 61:   MatSetUp(A[2]);
 62:   for (i=Istart;i<Iend;i++) {
 63:     MatSetValue(A[2],i,i,-1.0/(i+1),INSERT_VALUES);
 64:   }
 65:   MatAssemblyBegin(A[2],MAT_FINAL_ASSEMBLY);
 66:   MatAssemblyEnd(A[2],MAT_FINAL_ASSEMBLY);

 68:   /*
 69:      Functions: f0=1.0, f1=lambda, f2=lambda^2
 70:   */
 71:   FNCreate(PETSC_COMM_WORLD,&f[0]);
 72:   FNSetType(f[0],FNRATIONAL);
 73:   coeffs[0] = 1.0;
 74:   FNRationalSetNumerator(f[0],1,coeffs);

 76:   FNCreate(PETSC_COMM_WORLD,&f[1]);
 77:   FNSetType(f[1],FNRATIONAL);
 78:   coeffs[0] = 1.0; coeffs[1] = 0.0;
 79:   FNRationalSetNumerator(f[1],2,coeffs);

 81:   FNCreate(PETSC_COMM_WORLD,&f[2]);
 82:   FNSetType(f[2],FNRATIONAL);
 83:   coeffs[0] = 1.0; coeffs[1] = 0.0; coeffs[2] = 0.0;
 84:   FNRationalSetNumerator(f[2],3,coeffs);

 86:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 87:                       Create the NEP solver
 88:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
 89:   NEPCreate(PETSC_COMM_WORLD,&nep);
 90:   PetscObjectSetName((PetscObject)nep,"nep");
 91:   NEPSetSplitOperator(nep,3,A,f,SAME_NONZERO_PATTERN);
 92:   NEPSetTarget(nep,1.1);
 93:   NEPSetWhichEigenpairs(nep,NEP_TARGET_MAGNITUDE);
 94:   NEPSetFromOptions(nep);

 96:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 97:                 Solve the eigensystem and display solution
 98:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
 99:   NEPSolve(nep);
100:   NEPGetConverged(nep,&nconv);
101:   NEPGetIterationNumber(nep,&its);
102:   PetscPrintf(PETSC_COMM_WORLD," %D converged eigenpairs after %D iterations\n",nconv,its);
103:   if (nconv>0) {
104:     MatCreateVecs(A[0],&xr,&xi);
105:     NEPGetEigenpair(nep,0,&kr,&ki,xr,xi);
106:     VecDestroy(&xr);
107:     VecDestroy(&xi);
108:     NEPGetErrorEstimate(nep,0,&errest);
109:   }
110:   NEPErrorView(nep,NEP_ERROR_BACKWARD,NULL);

112:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
113:                    Check file containing the eigenvalues
114:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
115:   PetscOptionsGetString(NULL,NULL,"-checkfile",filename,sizeof(filename),&checkfile);
116:   if (checkfile) {
117:     PetscMalloc1(nconv,&eigs);
118:     PetscViewerBinaryOpen(PETSC_COMM_WORLD,filename,FILE_MODE_READ,&viewer);
119:     PetscViewerBinaryRead(viewer,eigs,nconv,NULL,PETSC_COMPLEX);
120:     PetscViewerDestroy(&viewer);
121:     for (i=0;i<nconv;i++) {
122:       NEPGetEigenpair(nep,i,&kr,&ki,NULL,NULL);
123: #if defined(PETSC_USE_COMPLEX)
124:       eval = kr;
125: #else
126:       eval = PetscCMPLX(kr,ki);
127: #endif
128:       if (eval!=eigs[i]) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_FILE_UNEXPECTED,"Eigenvalues in the file do not match");
129:     }
130:     PetscFree(eigs);
131:   }

133:   NEPDestroy(&nep);
134:   MatDestroy(&A[0]);
135:   MatDestroy(&A[1]);
136:   MatDestroy(&A[2]);
137:   FNDestroy(&f[0]);
138:   FNDestroy(&f[1]);
139:   FNDestroy(&f[2]);
140:   SlepcFinalize();
141:   return ierr;
142: }

144: /*TEST

146:    test:
147:       suffix: 1
148:       args: -nep_type slp -nep_target -.5 -nep_error_backward ::ascii_info_detail -nep_view_values -nep_error_absolute ::ascii_matlab -nep_monitor_all -nep_converged_reason -nep_view
149:       filter: grep -v "tolerance" | grep -v "problem type" | sed -e "s/[+-]0\.0*i//g" -e "s/+0i//" -e "s/[+-][0-9]\.[0-9]*e-[0-9]*i//g" -e "s/[0-9]\.[0-9]*e[+-]\([0-9]*\)/removed/g"
150:       requires: double

152:    test:
153:       suffix: 2
154:       args: -nep_type rii -nep_target -.5 -nep_rii_hermitian -nep_monitor -nep_view_values ::ascii_matlab
155:       filter: sed -e "s/[+-][0-9]\.[0-9]*e-[0-9]*i//" -e "s/([0-9]\.[0-9]*e[+-]\([0-9]*\))/(removed)/g"
156:       requires: double

158:    test:
159:       suffix: 3
160:       args: -nep_type slp -nep_nev 4 -nep_view_values binary:myvalues.bin -checkfile myvalues.bin -nep_error_relative ::ascii_matlab
161:       filter: sed -e "s/[0-9]\.[0-9]*e[+-]\([0-9]*\)/removed/g"
162:       requires: double

164:    test:
165:       suffix: 4
166:       args: -nep_type slp -nep_nev 4 -nep_monitor draw::draw_lg -nep_monitor_all draw::draw_lg -nep_view_values draw -draw_save myeigen.ppm -draw_virtual
167:       requires: double

169: TEST*/