!---------------------------------------------------------------------- ! Copyright (c) 2019 SPMODEL Development Group. All rights reserved. !---------------------------------------------------------------------- ! !表題 w_base_module テストプログラム :: 基本変換関数のテスト ! !履歴 2019/03/13 竹広真一 ! 2020/11/06 竹広真一 セクター計算テスト ! program w_base_module_mint_test use dc_types, only: DP use dc_message, only : MessageNotify use dc_test, only : AssertEqual use w_module_mint use spml_utils, only: pi implicit none ! integer, parameter :: im=32, jm=16, nm=10, mint=1 integer, parameter :: im=32, jm=16, nm=10, mint=2 integer, parameter :: nc=(nm/mint+1)*(2*(nm+1)-nm/mint*mint) real(DP), dimension(nc) :: w_data real(DP), dimension(0:im-1,1:jm) :: xy_data real(DP), dimension(0:im-1,1:jm) :: xy_Ddata ! 判定誤差設定 integer, parameter :: check_digits = 11 integer, parameter :: ignore = -12 call MessageNotify('M','w_base_module', & 'w_base_module functions tests') call w_Initial( nm, im, jm, mint=mint ) !==================== Y_1^0 のテスト ==================== xy_data = sqrt(3.0D0)*sin(xy_Lat) ! Y_1^0 w_data= 0.0D0 ; w_data(l_nm(1,0))=1.0D0 !---- 通常変換 ---- call AssertEqual(& message='Y_1^0 Test of w_xy(xy_data)', & answer = w_data, & check = w_xy(xy_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_1^0 Test of xy_w(w_xy(xy_data))', & answer = xy_data, & check = xy_w(w_xy(xy_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- X 微分変換 ---- xy_Ddata = 0.0D0 call AssertEqual(& message='Y_1^0 Test of xy_w(w_xy(xy_data,iflag=-1))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=-1)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_1^0 Test of xy_w(w_xy(xy_data),iflag=-1)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=-1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y 微分変換 ---- xy_Ddata = sqrt(3.0D0) * ( cos(xy_Lat)**2 - 2*sin(xy_Lat)**2 ) call AssertEqual(& ! (1/\cos\phi)d/\phi(f\cos^2\phi) message='Y_1^0 Test of xy_w(w_xy(xy_data,iflag=1,ipow=0))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=1,ipow=0)), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Ddata = sqrt(3.0D0)*cos(xy_Lat) call AssertEqual(& ! df/\phi message='Y_1^0 Test of xy_w(w_xy(xy_data),iflag=1,ipow=1)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=1,ipow=1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- SIN 掛け算変換 ---- xy_Ddata = sqrt(3.0D0) * sin(xy_Lat)**2 call AssertEqual(& message='Y_1^0 Test of xy_w(w_xy(xy_data,iflag=2))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=2)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_1^0 Test of xy_w(w_xy(xy_data),iflag=2)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=2), & significant_digits = check_digits, ignore_digits = ignore & ) call MessageNotify('M','Test of Y_1^0','Test of Y_1^0 succeeded!') !==================== Y_2^0 のテスト ==================== xy_data = sqrt(5.0D0)*(3.0/2*sin(xy_Lat)**2-1/2.0) ! Y_2^0 w_data= 0.0D0 ; w_data(l_nm(2,0))=1.0D0 !---- 通常変換 ---- call AssertEqual(& message='Y_2^0 Test of w_xy(xy_data)', & answer = w_data, & check = w_xy(xy_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^0 Test of xy_w(w_xy(xy_data))', & answer = xy_data, & check = xy_w(w_xy(xy_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- X 微分変換 ---- xy_Ddata = 0.0D0 call AssertEqual(& message='Y_2^0 Test of xy_w(w_xy(xy_data,iflag=-1))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=-1)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^0 Test of xy_w(w_xy(xy_data),iflag=-1)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=-1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y 微分変換 ---- xy_Ddata = sqrt(5.0D0)*( 3.0*sin(xy_Lat)*cos(xy_Lat)**2 & - 3.0*sin(xy_Lat)**3 + sin(xy_Lat) ) call AssertEqual(& message='Y_2^0 Test of xy_w(w_xy(xy_data,iflag=1,ipow=0))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=1,ipow=0)), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Ddata = sqrt(5.0D0)*3.0*sin(xy_Lat)*cos(xy_Lat) call AssertEqual(& message='Y_2^0 Test of xy_w(w_xy(xy_data),iflag=1,ipow=1)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=1,ipow=1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- SIN 掛け算変換 ---- xy_Ddata = sqrt(5.0D0)*(3.0/2*sin(xy_Lat)**2-1/2.0)*sin(xy_Lat) call AssertEqual(& message='Y_2^0 Test of xy_w(w_xy(xy_data,iflag=2))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=2)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^0 Test of xy_w(w_xy(xy_data),iflag=2)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=2), & significant_digits = check_digits, ignore_digits = ignore & ) call MessageNotify('M','Test of Y_2^0','Test of Y_2^0 succeeded!') !==================== Y_2^2 のテスト ==================== xy_data = sqrt(5.0D0/24)*3.0*cos(xy_Lat)**2*cos(2*xy_Lon) ! Y_2^2 w_data= 0.0D0 ; w_data(l_nm(2,2))=1.0D0/2.0D0 !---- 通常変換 ---- call AssertEqual(& message='Y_2^2 Test of w_xy(xy_data)', & answer = w_data, & check = w_xy(xy_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^2 Test of xy_w(w_xy(xy_data))', & answer = xy_data, & check = xy_w(w_xy(xy_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- X 微分変換 ---- xy_Ddata = sqrt(5.0D0/24)*3.0*cos(xy_Lat)**2* (-2)* sin(2*xy_Lon) ! Y_2^2 call AssertEqual(& message='Y_2^2 Test of xy_w(w_xy(xy_data,iflag=-1))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=-1)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^2 Test of xy_w(w_xy(xy_data),iflag=-1)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=-1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y 微分変換 ---- xy_Ddata = - sqrt(5.0D0/24)*3.0*4*sin(xy_Lat)*cos(xy_Lat)**2*cos(2*xy_Lon) call AssertEqual(& message='Y_2^2 Test of xy_w(w_xy(xy_data,iflag=1,ipow=0))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=1,ipow=0)), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Ddata = -sqrt(5.0D0/24)*3.0*2*cos(xy_Lat)*sin(xy_Lat)*cos(2*xy_Lon) call AssertEqual(& message='Y_2^2 Test of xy_w(w_xy(xy_data),iflag=1,ipow=1)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=1,ipow=1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- SIN 掛け算変換 ---- xy_Ddata = sqrt(5.0D0/24)*3.0*cos(xy_Lat)**2*sin(xy_Lat)*cos(2*xy_Lon) call AssertEqual(& message='Y_2^2 Test of xy_w(w_xy(xy_data,iflag=2))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=2)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^2 Test of xy_w(w_xy(xy_data),iflag=2)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=2), & significant_digits = check_digits, ignore_digits = ignore & ) call MessageNotify('M','Test of Y_2^2','Test of Y_2^2 succeeded!') !==================== Y_2^-2 のテスト ==================== xy_data = -sqrt(5.0D0/24)*3.0*cos(xy_Lat)**2*sin(2*xy_Lon) ! Y_2^-2 w_data= 0.0D0 ; w_data(l_nm(2,-2))=1.0D0/2.0D0 !---- 通常変換 ---- call AssertEqual(& message='Y_2^-2 Test of w_xy(xy_data)', & answer = w_data, & check = w_xy(xy_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^-2 Test of xy_w(w_xy(xy_data))', & answer = xy_data, & check = xy_w(w_xy(xy_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- X 微分変換 ---- xy_Ddata = -sqrt(5.0D0/24)*3.0*cos(xy_Lat)**2* 2*cos(2*xy_Lon) ! Y_2^2 call AssertEqual(& message='Y_2^-2 Test of xy_w(w_xy(xy_data,iflag=-1))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=-1)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^-2 Test of xy_w(w_xy(xy_data),iflag=-1)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=-1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y 微分変換 ---- xy_Ddata = sqrt(5.0D0/24)*3.0*4*sin(xy_Lat)*cos(xy_Lat)**2*sin(2*xy_Lon) call AssertEqual(& message='Y_2^-2 Test of xy_w(w_xy(xy_data,iflag=1,ipow=0))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=1,ipow=0)), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Ddata = sqrt(5.0D0/24)*3.0*2*cos(xy_Lat)*sin(xy_Lat)*sin(2*xy_Lon) call AssertEqual(& message='Y_2^-2 Test of xy_w(w_xy(xy_data),iflag=1,ipow=1)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=1,ipow=1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- SIN 掛け算変換 ---- xy_Ddata = -sqrt(5.0D0/24)*3.0*cos(xy_Lat)**2*sin(xy_Lat)*sin(2*xy_Lon) call AssertEqual(& message='Y_2^-2 Test of xy_w(w_xy(xy_data,iflag=2))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=2)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^-2 Test of xy_w(w_xy(xy_data),iflag=2)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=2), & significant_digits = check_digits, ignore_digits = ignore & ) call MessageNotify('M','Test of Y_2^-2','Test of Y_2^-2 succeeded!') !==================== Y_4^0 のテスト ==================== xy_data = sqrt(9.0D0)*(35.0/8*sin(xy_Lat)**4-30.0/8*sin(xy_Lat)**2+3.0/8) ! Y_4^0 w_data= 0.0D0 ; w_data(l_nm(4,0))=1.0D0 !---- 通常変換 ---- call AssertEqual(& message='Y_4^0 Test of w_xy(xy_data)', & answer = w_data, & check = w_xy(xy_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_4^0 Test of xy_w(w_xy(xy_data))', & answer = xy_data, & check = xy_w(w_xy(xy_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- X 微分変換 ---- xy_Ddata = 0.0D0 call AssertEqual(& message='Y_4^0 Test of xy_w(w_xy(xy_data,iflag=-1))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=-1)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_4^0 Test of xy_w(w_xy(xy_data),iflag=-1)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=-1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y 微分変換 ---- xy_Ddata = -2*sin(xy_Lat)*xy_data & + sqrt(9.0D0)*(35.0/2*sin(xy_Lat)**3-30.0/4*sin(xy_Lat))*cos(xy_Lat)**2 call AssertEqual(& message='Y_4^0 Test of xy_w(w_xy(xy_data,iflag=1,ipow=0))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=1,ipow=0)), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Ddata = sqrt(9.0D0)*(35.0/2*sin(xy_Lat)**3-30.0/4*sin(xy_Lat))*cos(xy_Lat) call AssertEqual(& message='Y_4^0 Test of xy_w(w_xy(xy_data),iflag=1,ipow=1)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=1,ipow=1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- SIN 掛け算変換 ---- xy_Ddata = sqrt(9.0D0)*(35.0/8*sin(xy_Lat)**4-30.0/8*sin(xy_Lat)**2+3.0/8)*sin(xy_Lat) call AssertEqual(& message='Y_4^0 Test of xy_w(w_xy(xy_data,iflag=2))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=2)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_4^0 Test of xy_w(w_xy(xy_data),iflag=2)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=2), & significant_digits = check_digits, ignore_digits = ignore & ) call MessageNotify('M','Test of Y_4^0','Test of Y_4^0 succeeded!') !==================== Y_4^2 のテスト ==================== xy_data = sqrt(9.0D0/360)*15.0/2*cos(xy_Lat)**2*(7*sin(xy_Lat)**2-1)*cos(2*xy_Lon) ! Y_4^2 w_data= 0.0D0 ; w_data(l_nm(4,2))=1.0D0/2.0D0 !---- 通常変換 ---- call AssertEqual(& message='Y_4^2 Test of w_xy(xy_data)', & answer = w_data, & check = w_xy(xy_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_4^2 Test of xy_w(w_xy(xy_data))', & answer = xy_data, & check = xy_w(w_xy(xy_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- X 微分変換 ---- xy_Ddata = sqrt(9.0D0/360)*15.0/2*cos(xy_Lat)**2*(7*sin(xy_Lat)**2-1) & * (-2)*sin(2*xy_Lon) call AssertEqual(& message='Y_4^2 Test of xy_w(w_xy(xy_data,iflag=-1))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=-1)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_4^2 Test of xy_w(w_xy(xy_data),iflag=-1)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=-1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y 微分変換 ---- xy_Ddata = -2*sin(xy_Lat)*xy_data & + sqrt(9.0D0/360)*( & - 15.0*sin(xy_Lat)*cos(xy_Lat)*(7*sin(xy_Lat)**2-1) & + 15.0/2*cos(xy_Lat)**2*14*sin(xy_Lat)*cos(xy_Lat) )& *cos(xy_Lat)*cos(2*xy_Lon) call AssertEqual(& message='Y_4^2 Test of xy_w(w_xy(xy_data,iflag=1,ipow=0))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=1,ipow=0)), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Ddata = sqrt(9.0D0/360) & * ( -15.0*sin(xy_Lat)*cos(xy_Lat)*(7*sin(xy_Lat)**2-1) & +15.0/2*cos(xy_Lat)**2*14*sin(xy_Lat)*cos(xy_Lat) ) & *cos(2*xy_Lon) call AssertEqual(& message='Y_4^2 Test of xy_w(w_xy(xy_data),iflag=1,ipow=1)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=1,ipow=1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- SIN 掛け算変換 ---- xy_Ddata = sqrt(9.0D0/360)*15.0/2*cos(xy_Lat)**2*(7*sin(xy_Lat)**2-1)*sin(xy_Lat)*cos(2*xy_Lon) ! Y_4^2 call AssertEqual(& message='Y_4^2 Test of xy_w(w_xy(xy_data,iflag=2))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=2)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_4^2 Test of xy_w(w_xy(xy_data),iflag=2)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=2), & significant_digits = check_digits, ignore_digits = ignore & ) call MessageNotify('M','Test of Y_4^2','Test of Y_4^2 succeeded!') !==================== Y_4^4 のテスト ==================== xy_data = sqrt(9.0D0/40320)*105.0*cos(xy_Lat)**4*cos(4*xy_Lon) ! Y_4^4 w_data= 0.0D0 ; w_data(l_nm(4,4))=1.0D0/2.0D0 !---- 通常変換 ---- call AssertEqual(& message='Y_4^4 Test of w_xy(xy_data)', & answer = w_data, & check = w_xy(xy_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_4^4 Test of xy_w(w_xy(xy_data))', & answer = xy_data, & check = xy_w(w_xy(xy_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- X 微分変換 ---- xy_Ddata = sqrt(9.0D0/40320)*105.0*cos(xy_Lat)**4 *(-4)*sin(4*xy_Lon) call AssertEqual(& message='Y_4^4 Test of xy_w(w_xy(xy_data,iflag=-1))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=-1)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_4^4 Test of xy_w(w_xy(xy_data),iflag=-1)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=-1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y 微分変換 ---- xy_Ddata = -sqrt(9.0D0/40320)*105.0*6*cos(xy_Lat)**4*sin(xy_Lat)*cos(4*xy_Lon) call AssertEqual(& message='Y_4^4 Test of xy_w(w_xy(xy_data,iflag=1,ipow=0))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=1,ipow=0)), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Ddata = -sqrt(9.0D0/40320)*105.0*4*cos(xy_Lat)**3*sin(xy_Lat)*cos(4*xy_Lon) call AssertEqual(& message='Y_4^4 Test of xy_w(w_xy(xy_data),iflag=1,ipow=1)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=1,ipow=1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- SIN 掛け算変換 ---- xy_Ddata = sqrt(9.0D0/40320)*105.0*cos(xy_Lat)**4*cos(4*xy_Lon)*sin(xy_Lat) call AssertEqual(& message='Y_4^4 Test of xy_w(w_xy(xy_data,iflag=2))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=2)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_4^4 Test of xy_w(w_xy(xy_data),iflag=2)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=2), & significant_digits = check_digits, ignore_digits = ignore & ) call MessageNotify('M','Test of Y_4^4','Test of Y_4^4 succeeded!') call MessageNotify('M','Test of genral function', & 'Test of general function succeeded!') end program w_base_module_mint_test