1: /*
  2:     This file should be included in NEW routines that compute the
  3:     differencing parameter for finite difference based matrix-free
  4:     methods.  For example, such routines can compute h for use in
  5:     Jacobian-vector products of the form

  7:                        F(x+ha) - F(x)
  8:           F'(u)a  ~=  ----------------
  9:                             h
 10: */


 15:  #include <petscmat.h>
 16:  #include <petsc/private/petscimpl.h>

 18: /*
 19:     Table of functions that manage the computation and understanding
 20:     of the parameter for finite difference based matrix-free computations
 21: */
 22: struct _MFOps {
 23:   PetscErrorCode (*compute)(MatMFFD,Vec,Vec,PetscScalar*,PetscBool * zeroa);
 24:   PetscErrorCode (*view)(MatMFFD,PetscViewer);
 25:   PetscErrorCode (*destroy)(MatMFFD);
 26:   PetscErrorCode (*setfromoptions)(PetscOptionItems*,MatMFFD);
 27: };

 29: /* context for default matrix-free SNES */
 30: struct _p_MatMFFD {
 31:   PETSCHEADER(struct _MFOps);
 32:   Vec            w;                                     /* work vector */
 33:   PetscReal      error_rel;                             /* square root of relative error in computing function */
 34:   PetscScalar    currenth;                              /* last differencing parameter h used */
 35:   PetscScalar    *historyh;                             /* history of differencing parameter h */
 36:   PetscInt       ncurrenth,maxcurrenth;
 37:   void           *hctx;
 38:   Mat            mat;                                   /* back reference to shell matrix that contains this */
 39:   PetscInt       recomputeperiod;                       /* how often the h is recomputed; default to 1 */
 40:   PetscInt       count;                                 /* used by recomputeperiod */
 41:   PetscErrorCode (*checkh)(void*,Vec,Vec,PetscScalar*);
 42:   void           *checkhctx;                            /* optional context used by MatMFFDSetCheckh() */

 44:   PetscErrorCode (*func)(void*,Vec,Vec); /* function used for matrix free */
 45:   void           *funcctx;               /* the context for the function */
 46:   Vec            current_f;              /* location of F(u); used with F(u+h) */
 47:   PetscBool      current_f_allocated;
 48:   Vec            current_u;              /* location of u; used with F(u+h) */

 50:   PetscErrorCode (*funci)(void*,PetscInt,Vec,PetscScalar*); /* Evaluates func_[i]() */
 51:   PetscErrorCode (*funcisetbase)(void*,Vec);                /* Sets base for future evaluations of func_[i]() */

 53:   void           *ctx;            /* this is used by MatCreateSNESMF() to store the SNES object */
 54: #if defined(PETSC_USE_COMPLEX)
 55:   PetscBool      usecomplex;      /* use Lyness complex number trick to compute the matrix-vector product */
 56: #endif
 57: };

 59: PETSC_EXTERN PetscFunctionList MatMFFDList;
 60: PETSC_EXTERN PetscBool         MatMFFDRegisterAllCalled;
 61: PETSC_EXTERN PetscErrorCode    MatMFFDRegisterAll(void);

 63: #endif