!------------------------------------------------------------------------
! Copyright (c) 2005-2011 SPMODEL Development Group. All rights reserved.
!------------------------------------------------------------------------
!
!表題  ee_module テストプログラム (ヤコビアン計算)
!
!履歴  2005/07/19  竹広真一
!      2007/11/09  竹広真一  エラーメッセージ追加
!      2008/05/10  竹広真一  解像度複数設定チェック
!      2011/02/15  佐々木洋平 dc_test を使うように変更
!
program ee_test_jacobian2

  use dc_message, only : MessageNotify
  use dc_test, only : AssertEqual
  use ee_module
  implicit none

 !---- 空間解像度設定 ----
  integer, parameter :: im=16, jm=16            ! 格子点の設定(X,Y)
  integer, parameter :: km=5, lm=5              ! 切断波数の設定(X,Y)

  integer, parameter :: im2=64, jm2=64            ! 格子点の設定(X,Y)
  integer, parameter :: km2=21, lm2=21            ! 切断波数の設定(X,Y)

 !---- 変数 ----
  real(8)            :: yx_A(0:jm-1,0:im-1)     ! 格子データ
  real(8)            :: yx_B(0:jm-1,0:im-1)     ! 格子データ
  real(8)            :: yx_Jacob(0:jm-1,0:im-1)  ! 格子データ

  real(8)            :: yx_A2(0:jm2-1,0:im2-1)     ! 格子データ
  real(8)            :: yx_B2(0:jm2-1,0:im2-1)     ! 格子データ
  real(8)            :: yx_Jacob2(0:jm2-1,0:im2-1)  ! 格子データ

  integer            :: k=4,l=2

 !---- 座標変数など ----
  real(8), parameter :: xmin = -1.0d0, xmax=1.0d0
  real(8), parameter :: ymin = -1.0d0, ymax=1.0d0

  real(8), parameter :: pi=3.1415926535897932385D0
  ! 判定誤差設定
  integer, parameter :: check_digits = 10
  integer, parameter :: ignore = -11

  integer            :: id1, id2

  call MessageNotify('M','ee_test_jacobian', &
       'ee_module jacobian function tests')

 !---------------- 座標値の設定 ---------------------
  call ee_initial(im,jm,km,lm,xmin,xmax,ymin,ymax,id1)        ! スペクトル初期化
  call ee_initial(im2,jm2,km2,lm2,xmin,xmax,ymin,ymax,id2)    ! スペクトル初期化

 !------------------- 初期値設定 ----------------------
!!  write(6,*) '*** Test of ee_module : Jacobian function check.'
!!  write(6,*) '  The result will be printed '
!!  write(6,*) '  only when the error is larger than ', eps
!!  write(6,*)

!!$  write(6,*) '  Input wavenumbers of the grid data, k and l :'
!!$  read(5,*) k,l
!!$  write(6,*) '  k,l = ', k,l

  ! id1
  write(*,*) 'for id1'
  call ee_ChangeResolutionDomain(id1)

  yx_A = sin(k*pi*yx_X)
  yx_B = sin(l*pi*yx_Y)
  yx_Jacob = k*pi*cos(k*pi*yx_X) * l*pi*cos(l*pi*yx_Y)

  call check2d(yx_ee(ee_Jacobian_ee_ee(ee_yx(yx_A),ee_yx(yx_B))), yx_Jacob, &
        'Jacob(sin(k*pi*X),sin(l*pi*Y))')

  yx_A = cos(k*pi*yx_X)
  yx_B = cos(l*pi*yx_Y)
  yx_Jacob = k*pi*sin(k*pi*yx_X) * l*pi*sin(l*pi*yx_Y)

  call check2d(yx_ee(ee_Jacobian_ee_ee(ee_yx(yx_A),ee_yx(yx_B))), yx_Jacob, &
        'Jacob(cos(k*pi*X),cos(l*pi*Y))')

  yx_A = sin(k*pi*yx_X)
  yx_B = cos(l*pi*yx_Y)
  yx_Jacob = - k*pi*cos(k*pi*yx_X) * l*pi*sin(l*pi*yx_Y)

  call check2d(yx_ee(ee_Jacobian_ee_ee(ee_yx(yx_A),ee_yx(yx_B))), yx_Jacob, &
        'Jacob(sin(k*pi*X),cos(l*pi*Y))')

  yx_A = cos(k*pi*yx_X)
  yx_B = sin(l*pi*yx_Y)
  yx_Jacob = - k*pi*sin(k*pi*yx_X) * l*pi*cos(l*pi*yx_Y)

  call check2d(yx_ee(ee_Jacobian_ee_ee(ee_yx(yx_A),ee_yx(yx_B))), yx_Jacob, &
        'Jacob(cos(k*pi*X),sin(l*pi*Y))')


  ! id2
  write(*,*) 'for id2'
  call ee_ChangeResolutionDomain(id2)

  yx_A2 = sin(k*pi*yx_X)
  yx_B2 = sin(l*pi*yx_Y)
  yx_Jacob2 = k*pi*cos(k*pi*yx_X) * l*pi*cos(l*pi*yx_Y)

  call check2d(yx_ee(ee_Jacobian_ee_ee(ee_yx(yx_A2),ee_yx(yx_B2))), yx_Jacob2, &
        'Jacob(sin(k*pi*X),sin(l*pi*Y))')

  yx_A2 = cos(k*pi*yx_X)
  yx_B2 = cos(l*pi*yx_Y)
  yx_Jacob2 = k*pi*sin(k*pi*yx_X) * l*pi*sin(l*pi*yx_Y)

  call check2d(yx_ee(ee_Jacobian_ee_ee(ee_yx(yx_A2),ee_yx(yx_B2))), yx_Jacob2, &
        'Jacob(cos(k*pi*X),cos(l*pi*Y))')

  yx_A2 = sin(k*pi*yx_X)
  yx_B2 = cos(l*pi*yx_Y)
  yx_Jacob2 = - k*pi*cos(k*pi*yx_X) * l*pi*sin(l*pi*yx_Y)

  call check2d(yx_ee(ee_Jacobian_ee_ee(ee_yx(yx_A2),ee_yx(yx_B2))), yx_Jacob2, &
        'Jacob(sin(k*pi*X),cos(l*pi*Y))')

  yx_A2 = cos(k*pi*yx_X)
  yx_B2 = sin(l*pi*yx_Y)
  yx_Jacob2 = - k*pi*sin(k*pi*yx_X) * l*pi*cos(l*pi*yx_Y)

  call check2d(yx_ee(ee_Jacobian_ee_ee(ee_yx(yx_A2),ee_yx(yx_B2))), yx_Jacob2, &
        'Jacob(cos(k*pi*X),sin(l*pi*Y))')

  call MessageNotify('M','ee_test_derivative', &
       'ee_module jacobian function tests succeeded!')

contains

  subroutine check2d(var,sol,funcname) ! 絶対値が eps 以上の var の要素を出力
    real(8) :: var(:,:)                ! 判定する配列
    real(8) :: sol(:,:)
    character(len=*) :: funcname

    call AssertEqual(     &
      message = funcname, &
      answer = sol,       &
      check = var,        &
      significant_digits = check_digits, ignore_digits = ignore     )

  end subroutine check2d

end program ee_test_jacobian2