!---------------------------------------------------------------------- ! Copyright (c) 2017 Shin-ichi Takehiro. All rights reserved. !---------------------------------------------------------------------- ! !表題 wt_module テストプログラム :: 基本変換関数のテスト ! !履歴 2017/05/24 竹広真一 ! program wt_module_svpack_base_test use dc_message, only : MessageNotify use dc_test, only : AssertEqual use wt_module_svpack implicit none integer,parameter :: im=32, jm=16, km=16 ! 格子点の設定(経度, 緯度, 動径) integer,parameter :: nm=10, lm=16 ! 切断波数の設定(水平, 動径) real(8),parameter :: ri=0.5, ro=1.5 ! 内外半径 real(8), dimension((nm+1)**2,0:lm) :: wt_data real(8), dimension(0:im-1,1:jm,0:km) :: xyz_data real(8), dimension(0:im-1,1:jm,0:km) :: xyz_xi ! 判定誤差設定 integer, parameter :: check_digits = 10 integer, parameter :: ignore = -11 real(8) :: pi pi = atan(1.0D0)*4.0D0 call MessageNotify('M','wt_module_svpack_base_test', & 'wt_module_svpack basic transformation functions tests') call wt_Initial(im,jm,km,nm,lm,ri,ro) xyz_xi = (xyz_Rad - (ro+ri)/2 )*2/(ro-ri) !---- Y_1^* のテスト ---- xyz_data = sqrt(3.0D0)*sin(xyz_Lat)*xyz_xi ! Y_1^0 T_1 wt_data= 0.0D0 ; wt_data(l_nm(1,0),1)=1.0D0 call AssertEqual(& message='wt_xyz with Y_1^0 T_1', & answer = wt_data, & check = wt_xyz(xyz_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='xyz_wt with Y_1^0 T_1', & answer = xyz_data, & check = xyz_wt(wt_xyz(xyz_data)), & significant_digits = check_digits, ignore_digits = ignore & ) xyz_data = sqrt(3.0D0/2)*cos(xyz_Lat)*cos(xyz_Lon) ! Y_1^1 T_0 wt_data= 0.0D0 ; wt_data(l_nm(1,1),0)=1.0D0/2.0D0*2 call AssertEqual(& message='wt_xyz with Y_1^1 T_0', & answer = wt_data, & check = wt_xyz(xyz_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='xyz_wt with Y_1^1 T_0', & answer = xyz_data, & check = xyz_wt(wt_xyz(xyz_data)), & significant_digits = check_digits, ignore_digits = ignore & ) xyz_data = -sqrt(3.0D0/2)*cos(xyz_Lat)*sin(xyz_Lon)*(2*xyz_xi**2-1) !Y_1^{-1}T_2 wt_data= 0.0D0 ; wt_data(l_nm(1,-1),2)=1.0D0/2.0D0 call AssertEqual(& message='wt_xyz with Y_1^-1 T_2', & answer = wt_data, & check = wt_xyz(xyz_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='xyz_wt with Y_1^-1 T_2', & answer = xyz_data, & check = xyz_wt(wt_xyz(xyz_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y_2^* のテスト ---- ! Y_2^0 T_3 xyz_data = sqrt(5.0D0)*(3.0/2*sin(xyz_Lat)**2-1/2.0)*(4*xyz_xi**3-3*xyz_xi) wt_data= 0.0D0 ; wt_data(l_nm(2,0),3)=1.0D0 call AssertEqual(& message='wt_xyz with Y_2^0 T_3', & answer = wt_data, & check = wt_xyz(xyz_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='xyz_wt with Y_2^0 T_3', & answer = xyz_data, & check = xyz_wt(wt_xyz(xyz_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !Y_2^1 T_4 xyz_data = sqrt(5.0D0/6)*3.0*sin(xyz_Lat)*cos(xyz_Lat)*cos(xyz_Lon) & *(8*xyz_xi**4 - 8*xyz_xi**2 + 1 ) wt_data= 0.0D0 ; wt_data(l_nm(2,1),4)=1.0D0/2.0D0 call AssertEqual(& message='wt_xyz with Y_2^1 T_4', & answer = wt_data, & check = wt_xyz(xyz_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='xyz_wt with Y_2^1 T_4', & answer = xyz_data, & check = xyz_wt(wt_xyz(xyz_data)), & significant_digits = check_digits, ignore_digits = ignore & ) ! Y_2^-2 xyz_data = -sqrt(5.0D0/24)*3.0*cos(xyz_Lat)**2*sin(2*xyz_Lon) & *(16*xyz_xi**5-20*xyz_xi**3+5*xyz_xi) wt_data= 0.0D0 ; wt_data(l_nm(2,-2),5)=1.0D0/2.0D0 call AssertEqual(& message='wt_xyz with Y_2^-2 T_5', & answer = wt_data, & check = wt_xyz(xyz_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='xyz_wt with Y_2^-2 T_5', & answer = xyz_data, & check = xyz_wt(wt_xyz(xyz_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- 一般的関数のテスト ---- xyz_data = cos(2*xyz_Lon-pi/3) & *(sin(xyz_Lat)-1)**2*(sin(xyz_Lat)-0.5)*(sin(xyz_Lat)+1) & *exp(xyz_Rad) call AssertEqual(& message='xyz_wt and wt_xyz with a general function', & answer = xyz_data, & check = xyz_wt(wt_xyz(xyz_data)), & significant_digits = check_digits, ignore_digits = ignore & ) call MessageNotify('M','wt_module_svpack_base_test_base', & 'wt_module_svpack basic functions tests succeeded!') end program wt_module_svpack_base_test