Actual source code: test24.c

slepc-3.17.1 2022-04-11
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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[] = "Eigenproblem for the 1-D Laplacian with constraints. "
 12:   "Based on ex1.\n"
 13:   "The command line options are:\n"
 14:   "  -n <n>, where <n> = number of grid subdivisions = matrix dimension.\n\n";

 16: #include <slepceps.h>

 18: int main(int argc,char **argv)
 19: {
 20:   Mat            A;
 21:   EPS            eps;
 22:   EPSType        type;
 23:   Vec            *vi=NULL,*vc=NULL,t;
 24:   PetscInt       n=30,nev=4,i,j,Istart,Iend,nini=0,ncon=0,bs;
 25:   PetscReal      alpha,beta,restart;
 26:   PetscBool      flg,lock;

 28:   SlepcInitialize(&argc,&argv,(char*)0,help);
 29:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
 30:   PetscOptionsGetInt(NULL,NULL,"-nini",&nini,NULL);
 31:   PetscOptionsGetInt(NULL,NULL,"-ncon",&ncon,NULL);
 32:   PetscPrintf(PETSC_COMM_WORLD,"\n1-D Laplacian Eigenproblem, n=%" PetscInt_FMT " nini=%" PetscInt_FMT " ncon=%" PetscInt_FMT "\n\n",n,nini,ncon);

 34:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 35:      Compute the operator matrix that defines the eigensystem, Ax=kx
 36:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 38:   MatCreate(PETSC_COMM_WORLD,&A);
 39:   MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,n);
 40:   MatSetFromOptions(A);
 41:   MatSetUp(A);

 43:   MatGetOwnershipRange(A,&Istart,&Iend);
 44:   for (i=Istart;i<Iend;i++) {
 45:     if (i>0) MatSetValue(A,i,i-1,-1.0,INSERT_VALUES);
 46:     if (i<n-1) MatSetValue(A,i,i+1,-1.0,INSERT_VALUES);
 47:     MatSetValue(A,i,i,2.0,INSERT_VALUES);
 48:   }
 49:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
 50:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);

 52:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 53:                 Create the eigensolver and set various options
 54:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
 55:   EPSCreate(PETSC_COMM_WORLD,&eps);
 56:   EPSSetOperators(eps,A,NULL);
 57:   EPSSetProblemType(eps,EPS_HEP);
 58:   EPSSetType(eps,EPSLOBPCG);
 59:   EPSSetWhichEigenpairs(eps,EPS_SMALLEST_REAL);
 60:   EPSSetConvergenceTest(eps,EPS_CONV_ABS);
 61:   EPSSetDimensions(eps,nev,PETSC_DEFAULT,PETSC_DEFAULT);
 62:   EPSLOBPCGSetBlockSize(eps,nev);
 63:   EPSLOBPCGSetRestart(eps,0.7);
 64:   EPSSetTolerances(eps,1e-8,1200);
 65:   EPSSetFromOptions(eps);

 67:   MatCreateVecs(A,&t,NULL);
 68:   if (nini) {
 69:     VecDuplicateVecs(t,nini,&vi);
 70:     for (i=0;i<nini;i++) VecSetRandom(vi[i],NULL);
 71:     EPSSetInitialSpace(eps,nini,vi);
 72:   }
 73:   if (ncon) {   /* constraints are exact eigenvectors of lowest eigenvalues */
 74:     alpha = PETSC_PI/(n+1);
 75:     beta  = PetscSqrtReal(2.0/(n+1));
 76:     VecDuplicateVecs(t,ncon,&vc);
 77:     for (i=0;i<ncon;i++) {
 78:       for (j=0;j<n;j++) VecSetValue(vc[i],j,PetscSinReal(alpha*(j+1)*(i+1))*beta,INSERT_VALUES);
 79:       VecAssemblyBegin(vc[i]);
 80:       VecAssemblyEnd(vc[i]);
 81:     }
 82:     EPSSetDeflationSpace(eps,ncon,vc);
 83:   }

 85:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 86:                       Solve the eigensystem
 87:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 89:   EPSSolve(eps);
 90:   EPSGetType(eps,&type);
 91:   PetscPrintf(PETSC_COMM_WORLD," Solution method: %s\n",type);
 92:   PetscObjectTypeCompare((PetscObject)eps,EPSLOBPCG,&flg);
 93:   if (flg) {
 94:     EPSLOBPCGGetLocking(eps,&lock);
 95:     if (lock) PetscPrintf(PETSC_COMM_WORLD," Using soft locking\n");
 96:     EPSLOBPCGGetRestart(eps,&restart);
 97:     PetscPrintf(PETSC_COMM_WORLD," LOBPCG Restart parameter=%.4g\n",(double)restart);
 98:     EPSLOBPCGGetBlockSize(eps,&bs);
 99:     PetscPrintf(PETSC_COMM_WORLD," LOBPCG Block size=%" PetscInt_FMT "\n",bs);
100:   }

102:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
103:                     Display solution and clean up
104:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

106:   EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL);
107:   EPSDestroy(&eps);
108:   MatDestroy(&A);
109:   VecDestroyVecs(nini,&vi);
110:   VecDestroyVecs(ncon,&vc);
111:   VecDestroy(&t);
112:   SlepcFinalize();
113:   return 0;
114: }

116: /*TEST

118:    testset:
119:       args: -ncon 2
120:       output_file: output/test24_1.out
121:       test:
122:          suffix: 1
123:          requires: !single
124:       test:
125:          suffix: 2_cuda
126:          args: -mat_type aijcusparse
127:          requires: cuda !single

129: TEST*/