!---------------------------------------------------------------------- ! Copyright (c) 2012 Shin-ichi Takehiro. All rights reserved. !---------------------------------------------------------------------- ! !表題 w_base_mpi_module テストプログラム :: 基本変換関数のテスト ! !履歴 2012/04/03 竹広真一 ! program w_base_mpi_module_test use dc_message, only : MessageNotify use dc_test, only : AssertEqual use w_mpi_module use mpi implicit none integer, parameter :: im=16, jm=8, nm=5 real(8), allocatable :: w_data(:) real(8), allocatable :: xv_data(:,:) real(8), allocatable :: xv_Ddata(:,:) real(8), allocatable :: xy_data(:,:) real(8), allocatable :: xy_Ddata(:,:) ! 判定誤差設定 integer, parameter :: check_digits = 11 integer, parameter :: ignore = -12 real(8) :: pi integer :: iproc, np, ierr pi = atan(1.0D0)*4.0D0 call MessageNotify('M','w_base_mpi_module_test', & 'w_base_mpi_module functions tests') !---------------- MPI スタート --------------------- call MPI_INIT(IERR) call MPI_COMM_RANK(MPI_COMM_WORLD,IPROC,IERR) call MPI_COMM_SIZE(MPI_COMM_WORLD,NP,IERR) call w_mpi_Initial( nm, im, jm ) allocate(w_data((nm+1)**2)) allocate(xy_data(0:im-1,jm)) allocate(xy_Ddata(0:im-1,jm)) allocate(xv_data(0:im-1,jc)) allocate(xv_Ddata(0:im-1,jc)) !========================= xv_w, w_xv のテスト=========================== call MessageNotify('M','w_base_mpi_module_test', & 'w_base_mpi_module functions xv_w, w_xv tests') !==================== Y_1^0 のテスト ==================== xv_data = sqrt(3.0D0)*sin(xv_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_xv(xv_data)', & answer = w_data, & check = w_xv(xv_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_1^0 Test of xv_w(w_xv(xv_data))', & answer = xv_data, & check = xv_w(w_xv(xv_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- X 微分変換 ---- xv_Ddata = 0.0D0 call AssertEqual(& message='Y_1^0 Test of xv_w(w_xv(xv_data,iflag=-1))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=-1)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_1^0 Test of xv_w(w_xv(xv_data),iflag=-1)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=-1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y 微分変換 ---- xv_Ddata = sqrt(3.0D0) * ( cos(xv_Lat)**2 - 2*sin(xv_Lat)**2 ) call AssertEqual(& message='Y_1^0 Test of xv_w(w_xv(xv_data,iflag=1,ipow=0))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=1,ipow=0)), & significant_digits = check_digits, ignore_digits = ignore & ) xv_Ddata = sqrt(3.0D0)*cos(xv_Lat) call AssertEqual(& message='Y_1^0 Test of xv_w(w_xv(xv_data),iflag=1,ipow=1)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=1,ipow=1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- SIN 掛け算変換 ---- xv_Ddata = sqrt(3.0D0) * sin(xv_Lat)**2 call AssertEqual(& message='Y_1^0 Test of xv_w(w_xv(xv_data,iflag=2))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=2)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_1^0 Test of xv_w(w_xv(xv_data),iflag=2)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_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_1^1 のテスト ==================== xv_data = sqrt(3.0D0/2)*cos(xv_Lat)*cos(xv_Lon) ! Y_1^1 w_data= 0.0D0 ; w_data(l_nm(1,1))=1.0D0/sqrt(2.0D0) !---- 通常変換 ---- call AssertEqual(& message='Y_1^1 Test of w_xv(xv_data)', & answer = w_data, & check = w_xv(xv_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_1^1 Test of xv_w(w_xv(xv_data))', & answer = xv_data, & check = xv_w(w_xv(xv_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- X 微分変換 ---- xv_Ddata = -sqrt(3.0D0/2)*cos(xv_Lat)*sin(xv_Lon) ! Y_1^1 call AssertEqual(& message='Y_1^1 Test of xv_w(w_xv(xv_data,iflag=-1))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=-1)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_1^1 Test of xv_w(w_xv(xv_data),iflag=-1)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=-1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y 微分変換 ---- xv_Ddata = - sqrt(3.0D0/2) * 3 * sin(xv_Lat) * cos(xv_Lat) * cos(xv_Lon) call AssertEqual(& message='Y_1^1 Test of xv_w(w_xv(xv_data,iflag=1,ipow=0))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=1,ipow=0)), & significant_digits = check_digits, ignore_digits = ignore & ) xv_Ddata = - sqrt(3.0D0/2) * sin(xv_Lat) * cos(xv_Lon) call AssertEqual(& message='Y_1^1 Test of xv_w(w_xv(xv_data),iflag=1,ipow=1)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=1,ipow=1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- SIN 掛け算変換 ---- xv_Ddata = sqrt(3.0D0/2) * sin(xv_Lat)* cos(xv_Lat) * cos(xv_Lon) call AssertEqual(& message='Y_1^1 Test of xv_w(w_xv(xv_data,iflag=2))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=2)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_1^1 Test of xv_w(w_xv(xv_data),iflag=2)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=2), & significant_digits = check_digits, ignore_digits = ignore & ) call MessageNotify('M','Test of Y_1^1','Test of Y_1^1 succeeded!') !==================== Y_1^{-1} のテスト ==================== xv_data = -sqrt(3.0D0/2)*cos(xv_Lat)*sin(xv_Lon) ! Y_1^{-1} w_data= 0.0D0 ; w_data(l_nm(1,-1))=1.0D0/sqrt(2.0D0) !---- 通常変換 ---- call AssertEqual(& message='Y_1^1 Test of w_xv(xv_data)', & answer = w_data, & check = w_xv(xv_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_1^1 Test of xv_w(w_xv(xv_data))', & answer = xv_data, & check = xv_w(w_xv(xv_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- X 微分変換 ---- xv_Ddata = -sqrt(3.0D0/2)*cos(xv_Lat)*cos(xv_Lon) ! Y_1^{-1} call AssertEqual(& message='Y_1^1 Test of xv_w(w_xv(xv_data,iflag=-1))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=-1)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_1^1 Test of xv_w(w_xv(xv_data),iflag=-1)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=-1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y 微分変換 ---- xv_Ddata = sqrt(3.0D0/2) * 3 * sin(xv_Lat) * cos(xv_Lat) * sin(xv_Lon) call AssertEqual(& message='Y_1^1 Test of xv_w(w_xv(xv_data,iflag=1,ipow=0))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=1,ipow=0)), & significant_digits = check_digits, ignore_digits = ignore & ) xv_Ddata = sqrt(3.0D0/2) * sin(xv_Lat) * sin(xv_Lon) call AssertEqual(& message='Y_1^1 Test of xv_w(w_xv(xv_data),iflag=1,ipow=1)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=1,ipow=1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- SIN 掛け算変換 ---- xv_Ddata = - sqrt(3.0D0/2) * sin(xv_Lat)* cos(xv_Lat) * sin(xv_Lon) call AssertEqual(& message='Y_1^1 Test of xv_w(w_xv(xv_data,iflag=2))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=2)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_1^1 Test of xv_w(w_xv(xv_data),iflag=2)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=2), & significant_digits = check_digits, ignore_digits = ignore & ) !==================== Y_2^0 のテスト ==================== xv_data = sqrt(5.0D0)*(3.0/2*sin(xv_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_xv(xv_data)', & answer = w_data, & check = w_xv(xv_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^0 Test of xv_w(w_xv(xv_data))', & answer = xv_data, & check = xv_w(w_xv(xv_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- X 微分変換 ---- xv_Ddata = 0.0D0 call AssertEqual(& message='Y_2^0 Test of xv_w(w_xv(xv_data,iflag=-1))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=-1)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^0 Test of xv_w(w_xv(xv_data),iflag=-1)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=-1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y 微分変換 ---- xv_Ddata = sqrt(5.0D0)*( 3.0*sin(xv_Lat)*cos(xv_Lat)**2 & - 3.0*sin(xv_Lat)**3 + sin(xv_Lat) ) call AssertEqual(& message='Y_2^0 Test of xv_w(w_xv(xv_data,iflag=1,ipow=0))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=1,ipow=0)), & significant_digits = check_digits, ignore_digits = ignore & ) xv_Ddata = sqrt(5.0D0)*3.0*sin(xv_Lat)*cos(xv_Lat) call AssertEqual(& message='Y_2^0 Test of xv_w(w_xv(xv_data),iflag=1,ipow=1)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=1,ipow=1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- SIN 掛け算変換 ---- xv_Ddata = sqrt(5.0D0)*(3.0/2*sin(xv_Lat)**2-1/2.0)*sin(xv_Lat) call AssertEqual(& message='Y_2^0 Test of xv_w(w_xv(xv_data,iflag=2))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=2)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^0 Test of xv_w(w_xv(xv_data),iflag=2)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_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_2^1 のテスト ==================== xv_data = sqrt(5.0D0/6)*3.0*sin(xv_Lat)*cos(xv_Lat) * cos(xv_Lon)! Y_2^1 w_data= 0.0D0 ; w_data(l_nm(2,1))=1.0D0/sqrt(2.0D0) !---- 通常変換 ---- call AssertEqual(& message='Y_2^1 Test of w_xv(xv_data)', & answer = w_data, & check = w_xv(xv_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^1 Test of xv_w(w_xv(xv_data))', & answer = xv_data, & check = xv_w(w_xv(xv_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- X 微分変換 ---- xv_Ddata = -sqrt(5.0D0/6)*3.0*sin(xv_Lat)*cos(xv_Lat)*sin(xv_Lon)! Y_2^1 call AssertEqual(& message='Y_2^1 Test of xv_w(w_xv(xv_data,iflag=-1))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=-1)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^1 Test of xv_w(w_xv(xv_data),iflag=-1)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=-1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y 微分変換 ---- xv_Ddata = sqrt(5.0D0/6)*3.0 & *(cos(xv_Lat)**3-3*sin(xv_Lat)**2*cos(xv_Lat))*cos(xv_Lon) call AssertEqual(& message='Y_2^1 Test of xv_w(w_xv(xv_data,iflag=1,ipow=1))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=1,ipow=0)), & significant_digits = check_digits, ignore_digits = ignore & ) xv_Ddata = sqrt(5.0D0/6)*3.0 * cos(2*xv_Lat) * cos(xv_Lon) call AssertEqual(& message='Y_2^1 Test of xv_w(w_xv(xv_data),iflag=1,ipow=1)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=1,ipow=1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- SIN 掛け算変換 ---- xv_Ddata = sqrt(5.0D0/6)*3.0*sin(xv_Lat)**2*cos(xv_Lat) * cos(xv_Lon) call AssertEqual(& message='Y_2^1 Test of xv_w(w_xv(xv_data,iflag=2))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=2)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^1 Test of xv_w(w_xv(xv_data),iflag=2)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=2), & significant_digits = check_digits, ignore_digits = ignore & ) call MessageNotify('M','Test of Y_2^1','Test of Y_2^1 succeeded!') !==================== Y_2^-1 のテスト ==================== xv_data = -sqrt(5.0D0/6)*3.0*sin(xv_Lat)*cos(xv_Lat) * sin(xv_Lon)! Y_2^-1 w_data= 0.0D0 ; w_data(l_nm(2,-1))=1.0D0/sqrt(2.0D0) !---- 通常変換 ---- call AssertEqual(& message='Y_2^-1 Test of w_xv(xv_data)', & answer = w_data, & check = w_xv(xv_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^-1 Test of xv_w(w_xv(xv_data))', & answer = xv_data, & check = xv_w(w_xv(xv_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- X 微分変換 ---- xv_Ddata = -sqrt(5.0D0/6)*3.0*sin(xv_Lat)*cos(xv_Lat)*cos(xv_Lon)! Y_2^-1 call AssertEqual(& message='Y_2^-1 Test of xv_w(w_xv(xv_data,iflag=-1))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=-1)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^-1 Test of xv_w(w_xv(xv_data),iflag=-1)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=-1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y 微分変換 ---- xv_Ddata = -sqrt(5.0D0/6)*3.0 & *(cos(xv_Lat)**3-3*sin(xv_Lat)**2*cos(xv_Lat))*sin(xv_Lon) call AssertEqual(& message='Y_2^-1 Test of xv_w(w_xv(xv_data,iflag=1,ipow=0))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=1,ipow=0)), & significant_digits = check_digits, ignore_digits = ignore & ) xv_Ddata = -sqrt(5.0D0/6)*3.0 * cos(2*xv_Lat) * sin(xv_Lon) call AssertEqual(& message='Y_2^-1 Test of xv_w(w_xv(xv_data),iflag=1,ipow=1)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=1,ipow=1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- SIN 掛け算変換 ---- xv_Ddata = -sqrt(5.0D0/6)*3.0*sin(xv_Lat)**2*cos(xv_Lat) * sin(xv_Lon) call AssertEqual(& message='Y_2^-1 Test of xv_w(w_xv(xv_data,iflag=2))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=2)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^-1 Test of xv_w(w_xv(xv_data),iflag=2)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=2), & significant_digits = check_digits, ignore_digits = ignore & ) call MessageNotify('M','Test of Y_2^-1','Test of Y_2^-1 succeeded!') !==================== Y_2^2 のテスト ==================== xv_data = sqrt(5.0D0/24)*3.0*cos(xv_Lat)**2*cos(2*xv_Lon) ! Y_2^2 w_data= 0.0D0 ; w_data(l_nm(2,2))=1.0D0/sqrt(2.0D0) !---- 通常変換 ---- call AssertEqual(& message='Y_2^2 Test of w_xv(xv_data)', & answer = w_data, & check = w_xv(xv_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^2 Test of xv_w(w_xv(xv_data))', & answer = xv_data, & check = xv_w(w_xv(xv_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- X 微分変換 ---- xv_Ddata = sqrt(5.0D0/24)*3.0*cos(xv_Lat)**2* (-2)* sin(2*xv_Lon) ! Y_2^2 call AssertEqual(& message='Y_2^2 Test of xv_w(w_xv(xv_data,iflag=-1))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=-1)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^2 Test of xv_w(w_xv(xv_data),iflag=-1)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=-1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y 微分変換 ---- xv_Ddata = - sqrt(5.0D0/24)*3.0*4*sin(xv_Lat)*cos(xv_Lat)**2*cos(2*xv_Lon) call AssertEqual(& message='Y_2^2 Test of xv_w(w_xv(xv_data,iflag=1,ipow=0))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=1,ipow=0)), & significant_digits = check_digits, ignore_digits = ignore & ) xv_Ddata = -sqrt(5.0D0/24)*3.0*2*cos(xv_Lat)*sin(xv_Lat)*cos(2*xv_Lon) call AssertEqual(& message='Y_2^2 Test of xv_w(w_xv(xv_data),iflag=1,ipow=1)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=1,ipow=1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- SIN 掛け算変換 ---- xv_Ddata = sqrt(5.0D0/24)*3.0*cos(xv_Lat)**2*sin(xv_Lat)*cos(2*xv_Lon) call AssertEqual(& message='Y_2^2 Test of xv_w(w_xv(xv_data,iflag=2))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=2)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^2 Test of xv_w(w_xv(xv_data),iflag=2)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_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 ==================== xv_data = -sqrt(5.0D0/24)*3.0*cos(xv_Lat)**2*sin(2*xv_Lon) ! Y_2^-2 w_data= 0.0D0 ; w_data(l_nm(2,-2))=1.0D0/sqrt(2.0D0) !---- 通常変換 ---- call AssertEqual(& message='Y_2^-2 Test of w_xv(xv_data)', & answer = w_data, & check = w_xv(xv_data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^-2 Test of xv_w(w_xv(xv_data))', & answer = xv_data, & check = xv_w(w_xv(xv_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- X 微分変換 ---- xv_Ddata = -sqrt(5.0D0/24)*3.0*cos(xv_Lat)**2* 2*cos(2*xv_Lon) ! Y_2^2 call AssertEqual(& message='Y_2^-2 Test of xv_w(w_xv(xv_data,iflag=-1))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=-1)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^-2 Test of xv_w(w_xv(xv_data),iflag=-1)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=-1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y 微分変換 ---- xv_Ddata = sqrt(5.0D0/24)*3.0*4*sin(xv_Lat)*cos(xv_Lat)**2*sin(2*xv_Lon) call AssertEqual(& message='Y_2^-2 Test of xv_w(w_xv(xv_data,iflag=1,ipow=0))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=1,ipow=0)), & significant_digits = check_digits, ignore_digits = ignore & ) xv_Ddata = sqrt(5.0D0/24)*3.0*2*cos(xv_Lat)*sin(xv_Lat)*sin(2*xv_Lon) call AssertEqual(& message='Y_2^-2 Test of xv_w(w_xv(xv_data),iflag=1,ipow=1)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=1,ipow=1), & significant_digits = check_digits, ignore_digits = ignore & ) !---- SIN 掛け算変換 ---- xv_Ddata = -sqrt(5.0D0/24)*3.0*cos(xv_Lat)**2*sin(xv_Lat)*sin(2*xv_Lon) call AssertEqual(& message='Y_2^-2 Test of xv_w(w_xv(xv_data,iflag=2))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=2)), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='Y_2^-2 Test of xv_w(w_xv(xv_data),iflag=2)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=2), & significant_digits = check_digits, ignore_digits = ignore & ) call MessageNotify('M','Test of Y_2^-2','Test of Y_2^-2 succeeded!') !==================== 一般的関数のテスト ==================== xv_data = cos(2*xv_Lon-pi/3) & *(sin(xv_Lat)-1)**2*(sin(xv_Lat)-0.5)*(sin(xv_Lat)+1) !---- 通常変換 ---- call AssertEqual(& message='general function of xv_w(w_xv(xv_data))', & answer = xv_data, & check = xv_w(w_xv(xv_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y 微分変換 ---- xv_data = cos(xv_Lat) xv_Ddata = -2*sin(xv_Lat) call AssertEqual(& message='general function test of xv_w(w_xv(xv_data,iflag=1,ipow=1))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=1,ipow=1)), & significant_digits = check_digits, ignore_digits = ignore & ) xv_data = cos(xv_Lat)**2 xv_Ddata = -2*sin(xv_Lat) call AssertEqual(& message='general function test of xv_w(w_xv(xv_data,iflag=1,ipow=2))', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data,iflag=1,ipow=2)), & significant_digits = check_digits, ignore_digits = ignore & ) xv_data = sin(xv_Lat) xv_Ddata = cos(xv_Lat)**2 call AssertEqual(& message='general function test of xv_w(w_xv(xv_data),iflag=1,ipow=0)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=1,ipow=0), & significant_digits = check_digits, ignore_digits = ignore & ) xv_data = cos(xv_Lat)**2 xv_Ddata = -2.0D0 * sin(xv_Lat) call AssertEqual(& message='general function test of xv_w(w_xv(xv_data),iflag=1,ipow=2)', & answer = xv_Ddata, & check = xv_w(w_xv(xv_data),iflag=1,ipow=2), & significant_digits = check_digits, ignore_digits = ignore & ) !========================= xy_w, w_xy のテスト=========================== call MessageNotify('M','w_base_mpi_module_test', & 'w_base_mpi_module functions xy_w, w_xy tests') !==================== 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(& 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(& 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_1^1 のテスト ==================== xy_data = sqrt(3.0D0/2)*cos(xy_Lat)*cos(xy_Lon) ! Y_1^1 w_data= 0.0D0 ; w_data(l_nm(1,1))=1.0D0/sqrt(2.0D0) !---- 通常変換 ---- call AssertEqual(& message='Y_1^1 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_1^1 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(3.0D0/2)*cos(xy_Lat)*sin(xy_Lon) ! Y_1^1 call AssertEqual(& message='Y_1^1 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_1^1 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(3.0D0/2) * 3 * sin(xy_Lat) * cos(xy_Lat) * cos(xy_Lon) call AssertEqual(& message='Y_1^1 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(3.0D0/2) * sin(xy_Lat) * cos(xy_Lon) call AssertEqual(& message='Y_1^1 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(3.0D0/2) * sin(xy_Lat)* cos(xy_Lat) * cos(xy_Lon) call AssertEqual(& message='Y_1^1 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_1^1 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_1^1','Test of Y_1^1 succeeded!') !==================== Y_1^{-1} のテスト ==================== xy_data = -sqrt(3.0D0/2)*cos(xy_Lat)*sin(xy_Lon) ! Y_1^{-1} w_data= 0.0D0 ; w_data(l_nm(1,-1))=1.0D0/sqrt(2.0D0) !---- 通常変換 ---- call AssertEqual(& message='Y_1^1 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_1^1 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(3.0D0/2)*cos(xy_Lat)*cos(xy_Lon) ! Y_1^{-1} call AssertEqual(& message='Y_1^1 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_1^1 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(3.0D0/2) * 3 * sin(xy_Lat) * cos(xy_Lat) * sin(xy_Lon) call AssertEqual(& message='Y_1^1 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(3.0D0/2) * sin(xy_Lat) * sin(xy_Lon) call AssertEqual(& message='Y_1^1 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(3.0D0/2) * sin(xy_Lat)* cos(xy_Lat) * sin(xy_Lon) call AssertEqual(& message='Y_1^1 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_1^1 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 & ) !==================== 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_2^1 のテスト ==================== xy_data = sqrt(5.0D0/6)*3.0*sin(xy_Lat)*cos(xy_Lat) * cos(xy_Lon)! Y_2^1 w_data= 0.0D0 ; w_data(l_nm(2,1))=1.0D0/sqrt(2.0D0) !---- 通常変換 ---- call AssertEqual(& message='Y_2^1 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_2^1 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(5.0D0/6)*3.0*sin(xy_Lat)*cos(xy_Lat)*sin(xy_Lon)! Y_2^1 call AssertEqual(& message='Y_2^1 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_2^1 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(5.0D0/6)*3.0 & *(cos(xy_Lat)**3-3*sin(xy_Lat)**2*cos(xy_Lat))*cos(xy_Lon) call AssertEqual(& message='Y_2^1 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=0)), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Ddata = sqrt(5.0D0/6)*3.0 * cos(2*xy_Lat) * cos(xy_Lon) call AssertEqual(& message='Y_2^1 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(5.0D0/6)*3.0*sin(xy_Lat)**2*cos(xy_Lat) * cos(xy_Lon) call AssertEqual(& message='Y_2^1 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_2^1 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_2^1','Test of Y_2^1 succeeded!') !==================== Y_2^-1 のテスト ==================== xy_data = -sqrt(5.0D0/6)*3.0*sin(xy_Lat)*cos(xy_Lat) * sin(xy_Lon)! Y_2^-1 w_data= 0.0D0 ; w_data(l_nm(2,-1))=1.0D0/sqrt(2.0D0) !---- 通常変換 ---- call AssertEqual(& message='Y_2^-1 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^-1 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(5.0D0/6)*3.0*sin(xy_Lat)*cos(xy_Lat)*cos(xy_Lon)! Y_2^-1 call AssertEqual(& message='Y_2^-1 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^-1 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(5.0D0/6)*3.0 & *(cos(xy_Lat)**3-3*sin(xy_Lat)**2*cos(xy_Lat))*sin(xy_Lon) call AssertEqual(& message='Y_2^-1 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(5.0D0/6)*3.0 * cos(2*xy_Lat) * sin(xy_Lon) call AssertEqual(& message='Y_2^-1 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(5.0D0/6)*3.0*sin(xy_Lat)**2*cos(xy_Lat) * sin(xy_Lon) call AssertEqual(& message='Y_2^-1 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^-1 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^-1','Test of Y_2^-1 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/sqrt(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/sqrt(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!') !==================== 一般的関数のテスト ==================== xy_data = cos(2*xy_Lon-pi/3) & *(sin(xy_Lat)-1)**2*(sin(xy_Lat)-0.5)*(sin(xy_Lat)+1) !---- 通常変換 ---- call AssertEqual(& message='general function of xy_w(w_xy(xy_data))', & answer = xy_data, & check = xy_w(w_xy(xy_data)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y 微分変換 ---- xy_data = cos(xy_Lat) xy_Ddata = -2*sin(xy_Lat) call AssertEqual(& message='general function 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 & ) xy_data = cos(xy_Lat)**2 xy_Ddata = -2*sin(xy_Lat) call AssertEqual(& message='general function test of xy_w(w_xy(xy_data,iflag=1,ipow=2))', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data,iflag=1,ipow=2)), & significant_digits = check_digits, ignore_digits = ignore & ) xy_data = sin(xy_Lat) xy_Ddata = cos(xy_Lat)**2 call AssertEqual(& message='general function 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_data = cos(xy_Lat)**2 xy_Ddata = -2.0D0 * sin(xy_Lat) call AssertEqual(& message='general function test of xy_w(w_xy(xy_data),iflag=1,ipow=2)', & answer = xy_Ddata, & check = xy_w(w_xy(xy_data),iflag=1,ipow=2), & significant_digits = check_digits, ignore_digits = ignore & ) call MessageNotify('M','Test of genral function', & 'Test of general function succeeded!') !------ MPIの終了 ------ call MPI_FINALIZE(IERR) end program w_base_mpi_module_test