! test phase space (Maxwellian) mesh construction (serial)
!
!run:
!       -${MPIEXEC} ....
!       -@${PETSC_DIR}/lib/petsc/bin/petsc_gen_xdmf.py *.h5
!
!
! Contributed by Mark Adams
program DMPlexTestLandauInterface
  use petscts
  use petscdmplex
#include <petsc/finclude/petscts.h>
#include <petsc/finclude/petscdmplex.h>
  implicit none
  external LandauIFunction
  external LandauIJacobian
  DM             dm
  PetscInt       dim
  PetscInt       ii
  PetscErrorCode ierr
  TS             ts
  Vec            X,X_0
  Mat            J
  SNES           snes
  KSP            ksp
  PC             pc
  SNESLineSearch linesearch
  PetscReal      mone
  PetscScalar    scalar
  call PetscInitialize(PETSC_NULL_CHARACTER, ierr)
  if (ierr .ne. 0) then
     print*,'Unable to initialize PETSc'
     stop
  endif
  ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  !  Create mesh (DM), read in parameters, create and add f_0 (X)
  ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  dim = 2
  call LandauCreateVelocitySpace(PETSC_COMM_WORLD, dim, '', X, J, dm, ierr);CHKERRA(ierr)
  call LandauCreateMassMatrix(dm, PETSC_NULL_MAT, ierr);CHKERRA(ierr)
  call DMSetUp(dm,ierr);CHKERRA(ierr)
  call VecDuplicate(X,X_0,ierr);CHKERRA(ierr)
  call VecCopy(X,X_0,ierr)
  ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  !  View
  ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  ii = 0
  call LandauPrintNorms(X,ii,ierr);CHKERRA(ierr)
  mone = 0;
  call DMSetOutputSequenceNumber(dm, ii, mone, ierr);CHKERRA(ierr);
  ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  !    Create timestepping solver context
  ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  call TSCreate(PETSC_COMM_SELF,ts,ierr);CHKERRA(ierr)
  call TSSetOptionsPrefix(ts, 'ex1_', ierr);CHKERRA(ierr) ! should get this from the dm or give it to the dm
  call TSSetDM(ts,dm,ierr);CHKERRA(ierr)
  call TSGetSNES(ts,snes,ierr);CHKERRA(ierr)
  call SNESSetOptionsPrefix(snes, 'ex1_', ierr);CHKERRA(ierr) ! should get this from the dm or give it to the dm
  call SNESGetLineSearch(snes,linesearch,ierr);CHKERRA(ierr)
  call SNESLineSearchSetType(linesearch,SNESLINESEARCHBASIC,ierr);CHKERRA(ierr)
  call TSSetIFunction(ts,PETSC_NULL_VEC,LandauIFunction,PETSC_NULL_VEC,ierr);CHKERRA(ierr)
  call TSSetIJacobian(ts,J,J,LandauIJacobian,PETSC_NULL_VEC,ierr);CHKERRA(ierr)
  call TSSetExactFinalTime(ts,TS_EXACTFINALTIME_STEPOVER,ierr);CHKERRA(ierr)

  call SNESGetKSP(snes,ksp,ierr);CHKERRA(ierr)
  call KSPSetOptionsPrefix(ksp, 'ex1_', ierr);CHKERRA(ierr) ! should get this from the dm or give it to the dm
  call KSPGetPC(ksp,pc,ierr);CHKERRA(ierr)
  call PCSetOptionsPrefix(pc, 'ex1_', ierr);CHKERRA(ierr) ! should get this from the dm or give it to the dm

  call TSSetFromOptions(ts,ierr);CHKERRA(ierr)
  call TSSetSolution(ts,X,ierr);CHKERRA(ierr)
  ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  !  Solve nonlinear system
  ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  call TSSolve(ts,X,ierr);CHKERRA(ierr)
  ii = 1
  call LandauPrintNorms(X,ii,ierr);CHKERRA(ierr)
  call TSGetTime(ts, mone, ierr);CHKERRA(ierr);
  call DMSetOutputSequenceNumber(dm, ii, mone, ierr);CHKERRA(ierr);
  ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  !  remove f_0
  ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  scalar = -1.
  call VecAXPY(X,scalar,X_0,ierr);CHKERRA(ierr)
  call LandauDestroyVelocitySpace(dm, ierr);CHKERRA(ierr)
  call TSDestroy(ts, ierr);CHKERRA(ierr)
  call VecDestroy(X, ierr);CHKERRA(ierr)
  call VecDestroy(X_0, ierr);CHKERRA(ierr)
  call PetscFinalize(ierr)
end program DMPlexTestLandauInterface

!/*TEST
!  build:
!    requires: defined(PETSC_USING_F90FREEFORM)
!
!  test:
!    suffix: 0
!    requires: p4est !complex
!    args: -dm_landau_num_species_grid 1,2 -petscspace_degree 3 -petscspace_poly_tensor 1 -dm_landau_type p4est -dm_landau_ion_masses 2,4 -dm_landau_ion_charges 1,18 -dm_landau_thermal_temps 5,5,.5 -dm_landau_n 1.00018,1,1e-5 -dm_landau_n_0 1e20 -ex1_ts_monitor -ex1_snes_rtol 1.e-14 -ex1_snes_stol 1.e-14 -ex1_snes_monitor -ex1_snes_converged_reason -ex1_ts_type arkimex -ex1_ts_arkimex_type 1bee -ex1_ts_max_snes_failures -1 -ex1_ts_rtol 1e-1 -ex1_ts_dt 1.e-1 -ex1_ts_max_time 1 -ex1_ts_adapt_clip .5,1.25 -ex1_ts_adapt_scale_solve_failed 0.75 -ex1_ts_adapt_time_step_increase_delay 5 -ex1_ts_max_steps 1 -ex1_pc_type lu -ex1_ksp_type preonly -dm_landau_amr_levels_max 2,1
!
!TEST*/