Date: 2021-02-01T14:42:20+00:00

Actual source code: test1.c
slepc-3.14.2 2021-02-01
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-2020, 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[] = "Computes exp(t*A)*v for a matrix loaded from file.\n\n"
     12:   "The command line options are:\n"
     13:   "  -t <sval>, where <sval> = scalar value that multiplies the argument.\n"
     14:   "  -file <filename>, where <filename> = matrix file in PETSc binary form.\n\n";

     16: #include <slepcmfn.h>

     18: int main(int argc,char **argv)
     19: {
     20:   Mat                A;           /* problem matrix */
     21:   MFN                mfn;
     22:   FN                 f;
     23:   PetscReal          norm;
     24:   PetscScalar        t=2.0;
     25:   Vec                v,y;
     26:   PetscErrorCode     ierr;
     27:   PetscViewer        viewer;
     28:   PetscBool          flg;
     29:   char               filename[PETSC_MAX_PATH_LEN];
     30:   MFNConvergedReason reason;

     32:   SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;

     34:   PetscOptionsGetScalar(NULL,NULL,"-t",&t,NULL);
     35:   PetscPrintf(PETSC_COMM_WORLD,"\nMatrix exponential y=exp(t*A)*e, loaded from file\n\n");

     37:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     38:                 Load matrix A from binary file
     39:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     41:   PetscOptionsGetString(NULL,NULL,"-file",filename,sizeof(filename),&flg);
     42:   if (!flg) SETERRQ(PETSC_COMM_WORLD,1,"Must indicate a file name with the -file option");

     44: #if defined(PETSC_USE_COMPLEX)
     45:   PetscPrintf(PETSC_COMM_WORLD," Reading COMPLEX matrix from a binary file...\n");
     46: #else
     47:   PetscPrintf(PETSC_COMM_WORLD," Reading REAL matrix from a binary file...\n");
     48: #endif
     49:   PetscViewerBinaryOpen(PETSC_COMM_WORLD,filename,FILE_MODE_READ,&viewer);
     50:   MatCreate(PETSC_COMM_WORLD,&A);
     51:   MatSetFromOptions(A);
     52:   MatLoad(A,viewer);
     53:   PetscViewerDestroy(&viewer);

     55:   /* set v = ones(n,1) */
     56:   MatCreateVecs(A,NULL,&y);
     57:   MatCreateVecs(A,NULL,&v);
     58:   VecSet(v,1.0);

     60:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     61:                 Create the solver and set various options
     62:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     64:   MFNCreate(PETSC_COMM_WORLD,&mfn);
     65:   MFNSetOperator(mfn,A);
     66:   MFNGetFN(mfn,&f);
     67:   FNSetType(f,FNEXP);
     68:   FNSetScale(f,t,1.0);
     69:   MFNSetFromOptions(mfn);

     71:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     72:                       Solve the problem, y=exp(t*A)*v
     73:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     75:   MFNSolve(mfn,v,y);
     76:   MFNGetConvergedReason(mfn,&reason);
     77:   if (reason<0) SETERRQ(PETSC_COMM_WORLD,1,"Solver did not converge");
     78:   VecNorm(y,NORM_2,&norm);
     79:   PetscPrintf(PETSC_COMM_WORLD," Computed vector at time t=%.4g has norm %g\n",(double)PetscRealPart(t),(double)norm);

     81:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     82:                       Solve the problem, y=exp(t*A^T)*v
     83:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     85:   MFNSolveTranspose(mfn,v,y);
     86:   MFNGetConvergedReason(mfn,&reason);
     87:   if (reason<0) SETERRQ(PETSC_COMM_WORLD,1,"Solver did not converge");
     88:   VecNorm(y,NORM_2,&norm);
     89:   PetscPrintf(PETSC_COMM_WORLD," With transpose: computed vector has norm %g\n\n",(double)norm);

     91:   /*
     92:      Free work space
     93:   */
     94:   MFNDestroy(&mfn);
     95:   MatDestroy(&A);
     96:   VecDestroy(&v);
     97:   VecDestroy(&y);
     98:   SlepcFinalize();
     99:   return ierr;
    100: }

    102: /*TEST

    104:    testset:
    105:       args: -file ${DATAFILESPATH}/matrices/real/bfw782a.petsc -mfn_type {{krylov expokit}} -t 0.05
    106:       requires: double !complex datafilespath !define(PETSC_USE_64BIT_INDICES)
    107:       output_file: output/test1_1.out
    108:       test:
    109:          suffix: 1
    110:       test:
    111:          suffix: 1_cuda
    112:          args: -mat_type aijcusparse
    113:          requires: cuda

    115:    testset:
    116:       args: -file ${DATAFILESPATH}/matrices/complex/qc324.petsc -mfn_type {{krylov expokit}}
    117:       requires: double complex datafilespath !define(PETSC_USE_64BIT_INDICES)
    118:       output_file: output/test1_2.out
    119:       test:
    120:          suffix: 2
    121:       test:
    122:          suffix: 2_cuda
    123:          args: -mat_type aijcusparse
    124:          requires: cuda

    126: TEST*/