!------------------------------------------------------------------------ ! Copyright (c) 2005-2011 SPMODEL Development Group. All rights reserved. !------------------------------------------------------------------------ ! !表題 ee_module テストプログラム (微分計算) ! !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_derivative 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=32, jm=32 ! 格子点の設定(X,Y) integer, parameter :: km=10, lm=10 ! 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_Data(0:jm-1,0:im-1) ! 格子データ real(8) :: yx_Deriv(0:jm-1,0:im-1) ! 格子データ real(8) :: yx_Data2(0:jm2-1,0:im2-1) ! 格子データ real(8) :: yx_Deriv2(0:jm2-1,0:im2-1) ! 格子データ integer :: k=2, l=3 integer :: id1, id2 !---- 座標変数など ---- real(8), parameter :: xmin = -1.0d0, xmax=1.0d0 real(8), parameter :: ymin = -1.0d0, ymax=1.0d0 ! 判定誤差設定 integer, parameter :: check_digits = 10 integer, parameter :: ignore = -11 real(8), parameter :: pi=3.1415926535897932385D0 call MessageNotify('M','ee_test_derivative', & 'ee_module derivative 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,*) ' 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_Data = sin(k*pi*yx_X) * sin(l*pi*yx_Y) yx_Deriv = k*pi*cos(k*pi*yx_X) * sin(l*pi*yx_Y) call check2d(yx_ee(ee_Dx_ee(ee_yx(yx_Data))),yx_Deriv, & 'Dx(sin(k*pi*X)*sin(l*pi*Y))') yx_Deriv = l*pi*sin(k*pi*yx_X) * cos(l*pi*yx_Y) call check2d(yx_ee(ee_Dy_ee(ee_yx(yx_Data))),yx_Deriv, & 'Dy(sin(k*pi*X)*sin(l*pi*Y))') yx_Deriv = -((k*pi)**2 + (l*pi)**2) * sin(k*pi*yx_X) * sin(l*pi*yx_Y) call check2d(yx_ee(ee_Lapla_ee(ee_yx(yx_Data))),yx_Deriv, & 'Lapla(sin(k*pi*X)*sin(l*pi*Y))') yx_Deriv = -1.0/((k*pi)**2 + (l*pi)**2) * sin(k*pi*yx_X) * sin(l*pi*yx_Y) call check2d(yx_ee(ee_LaplaInv_ee(ee_yx(yx_Data))),yx_Deriv, & 'LaplaInv(sin(k*pi*X)*sin(l*pi*Y))') yx_Data = cos(k*pi*yx_X) * cos(l*pi*yx_Y) yx_Deriv = -k*pi*sin(k*pi*yx_X) * cos(l*pi*yx_Y) call check2d(yx_ee(ee_Dx_ee(ee_yx(yx_Data))),yx_Deriv, & 'Dx(cos(k*pi*X)*cos(l*pi*Y))') yx_Deriv = -l*pi*cos(k*pi*yx_X) * sin(l*pi*yx_Y) call check2d(yx_ee(ee_Dy_ee(ee_yx(yx_Data))),yx_Deriv, & 'Dy(cos(k*pi*X)*cos(l*pi*Y))') yx_Deriv = -((k*pi)**2 + (l*pi)**2) * cos(k*pi*yx_X) * cos(l*pi*yx_Y) call check2d(yx_ee(ee_Lapla_ee(ee_yx(yx_Data))),yx_Deriv, & 'Lapla(cos(k*pi*X)*cos(l*pi*Y))') yx_Deriv = -1.0/((k*pi)**2 + (l*pi)**2) * cos(k*pi*yx_X) * cos(l*pi*yx_Y) call check2d(yx_ee(ee_LaplaInv_ee(ee_yx(yx_Data))),yx_Deriv, & 'LaplaInv(cos(k*pi*X)*cos(l*pi*Y))') yx_Data = sin(k*pi*yx_X) * cos(l*pi*yx_Y) yx_Deriv = k*pi*cos(k*pi*yx_X) * cos(l*pi*yx_Y) call check2d(yx_ee(ee_Dx_ee(ee_yx(yx_Data))),yx_Deriv, & 'Dx(sin(k*pi*X)*cos(l*pi*Y))') yx_Deriv = -l*pi*sin(k*pi*yx_X) * sin(l*pi*yx_Y) call check2d(yx_ee(ee_Dy_ee(ee_yx(yx_Data))),yx_Deriv, & 'Dy(sin(k*pi*X)*cos(l*pi*Y))') yx_Deriv = -((k*pi)**2 + (l*pi)**2) * sin(k*pi*yx_X) * cos(l*pi*yx_Y) call check2d(yx_ee(ee_Lapla_ee(ee_yx(yx_Data))),yx_Deriv, & 'Lapla(sin(k*pi*X)*cos(l*pi*Y))') yx_Deriv = -1.0/((k*pi)**2 + (l*pi)**2) * sin(k*pi*yx_X) * cos(l*pi*yx_Y) call check2d(yx_ee(ee_LaplaInv_ee(ee_yx(yx_Data))),yx_Deriv, & 'LaplaInv(sin(k*pi*X)*cos(l*pi*Y))') yx_Data = cos(k*pi*yx_X) * sin(l*pi*yx_Y) yx_Deriv = -k*pi*sin(k*pi*yx_X) * sin(l*pi*yx_Y) call check2d(yx_ee(ee_Dx_ee(ee_yx(yx_Data))),yx_Deriv, & 'Dx(cos(k*pi*X)*sin(l*pi*Y))') yx_Deriv = l*pi*cos(k*pi*yx_X) * cos(l*pi*yx_Y) call check2d(yx_ee(ee_Dy_ee(ee_yx(yx_Data))),yx_Deriv, & 'Dy(cos(k*pi*X)*sin(l*pi*Y))') yx_Deriv = -((k*pi)**2 + (l*pi)**2) * cos(k*pi*yx_X) * sin(l*pi*yx_Y) call check2d(yx_ee(ee_Lapla_ee(ee_yx(yx_Data))),yx_Deriv, & 'Lapla(cos(k*pi*X)*sin(l*pi*Y))') yx_Deriv = -1.0/((k*pi)**2 + (l*pi)**2) * cos(k*pi*yx_X) * sin(l*pi*yx_Y) call check2d(yx_ee(ee_LaplaInv_ee(ee_yx(yx_Data))),yx_Deriv, & 'LaplaInv(cos(k*pi*X)*sin(l*pi*Y))') ! id2 write(*,*) 'for id2' call ee_ChangeResolutionDomain(id2) yx_Data2 = sin(k*pi*yx_X) * sin(l*pi*yx_Y) yx_Deriv2 = k*pi*cos(k*pi*yx_X) * sin(l*pi*yx_Y) call check2d(yx_ee(ee_Dx_ee(ee_yx(yx_Data2))),yx_Deriv2, & 'Dx(sin(k*pi*X)*sin(l*pi*Y))') yx_Deriv2 = l*pi*sin(k*pi*yx_X) * cos(l*pi*yx_Y) call check2d(yx_ee(ee_Dy_ee(ee_yx(yx_Data2))),yx_Deriv2, & 'Dy(sin(k*pi*X)*sin(l*pi*Y))') yx_Deriv2 = -((k*pi)**2 + (l*pi)**2) * sin(k*pi*yx_X) * sin(l*pi*yx_Y) call check2d(yx_ee(ee_Lapla_ee(ee_yx(yx_Data2))),yx_Deriv2, & 'Lapla(sin(k*pi*X)*sin(l*pi*Y))') yx_Deriv2 = -1.0/((k*pi)**2 + (l*pi)**2) * sin(k*pi*yx_X) * sin(l*pi*yx_Y) call check2d(yx_ee(ee_LaplaInv_ee(ee_yx(yx_Data2))),yx_Deriv2, & 'LaplaInv(sin(k*pi*X)*sin(l*pi*Y))') yx_Data2 = cos(k*pi*yx_X) * cos(l*pi*yx_Y) yx_Deriv2 = -k*pi*sin(k*pi*yx_X) * cos(l*pi*yx_Y) call check2d(yx_ee(ee_Dx_ee(ee_yx(yx_Data2))),yx_Deriv2, & 'Dx(cos(k*pi*X)*cos(l*pi*Y))') yx_Deriv2 = -l*pi*cos(k*pi*yx_X) * sin(l*pi*yx_Y) call check2d(yx_ee(ee_Dy_ee(ee_yx(yx_Data2))),yx_Deriv2, & 'Dy(cos(k*pi*X)*cos(l*pi*Y))') yx_Deriv2 = -((k*pi)**2 + (l*pi)**2) * cos(k*pi*yx_X) * cos(l*pi*yx_Y) call check2d(yx_ee(ee_Lapla_ee(ee_yx(yx_Data2))),yx_Deriv2, & 'Lapla(cos(k*pi*X)*cos(l*pi*Y))') yx_Deriv2 = -1.0/((k*pi)**2 + (l*pi)**2) * cos(k*pi*yx_X) * cos(l*pi*yx_Y) call check2d(yx_ee(ee_LaplaInv_ee(ee_yx(yx_Data2))),yx_Deriv2, & 'LaplaInv(cos(k*pi*X)*cos(l*pi*Y))') yx_Data2 = sin(k*pi*yx_X) * cos(l*pi*yx_Y) yx_Deriv2 = k*pi*cos(k*pi*yx_X) * cos(l*pi*yx_Y) call check2d(yx_ee(ee_Dx_ee(ee_yx(yx_Data2))),yx_Deriv2, & 'Dx(sin(k*pi*X)*cos(l*pi*Y))') yx_Deriv2 = -l*pi*sin(k*pi*yx_X) * sin(l*pi*yx_Y) call check2d(yx_ee(ee_Dy_ee(ee_yx(yx_Data2))),yx_Deriv2, & 'Dy(sin(k*pi*X)*cos(l*pi*Y))') yx_Deriv2 = -((k*pi)**2 + (l*pi)**2) * sin(k*pi*yx_X) * cos(l*pi*yx_Y) call check2d(yx_ee(ee_Lapla_ee(ee_yx(yx_Data2))),yx_Deriv2, & 'Lapla(sin(k*pi*X)*cos(l*pi*Y))') yx_Deriv2 = -1.0/((k*pi)**2 + (l*pi)**2) * sin(k*pi*yx_X) * cos(l*pi*yx_Y) call check2d(yx_ee(ee_LaplaInv_ee(ee_yx(yx_Data2))),yx_Deriv2, & 'LaplaInv(sin(k*pi*X)*cos(l*pi*Y))') yx_Data2 = cos(k*pi*yx_X) * sin(l*pi*yx_Y) yx_Deriv2 = -k*pi*sin(k*pi*yx_X) * sin(l*pi*yx_Y) call check2d(yx_ee(ee_Dx_ee(ee_yx(yx_Data2))),yx_Deriv2, & 'Dx(cos(k*pi*X)*sin(l*pi*Y))') yx_Deriv2 = l*pi*cos(k*pi*yx_X) * cos(l*pi*yx_Y) call check2d(yx_ee(ee_Dy_ee(ee_yx(yx_Data2))),yx_Deriv2, & 'Dy(cos(k*pi*X)*sin(l*pi*Y))') yx_Deriv2 = -((k*pi)**2 + (l*pi)**2) * cos(k*pi*yx_X) * sin(l*pi*yx_Y) call check2d(yx_ee(ee_Lapla_ee(ee_yx(yx_Data2))),yx_Deriv2, & 'Lapla(cos(k*pi*X)*sin(l*pi*Y))') yx_Deriv2 = -1.0/((k*pi)**2 + (l*pi)**2) * cos(k*pi*yx_X) * sin(l*pi*yx_Y) call check2d(yx_ee(ee_LaplaInv_ee(ee_yx(yx_Data2))),yx_Deriv2, & 'LaplaInv(cos(k*pi*X)*sin(l*pi*Y))') call MessageNotify('M','ee_test_derivative', & 'ee_module derivative function tests succeeded!') contains subroutine check2d(var,sol,funcname) real(8) :: var(:,:) ! 判定する配列 real(8) :: sol(:,:) ! 解析解 character(len=*) :: funcname ! 関数名 call AssertEqual( & message = funcname, & answer = sol, & check = var, & significant_digits = check_digits, ignore_digits = ignore ) end subroutine check2d end program ee_test_derivative