!------------------------------------------------------------------------ ! Copyright (c) 2023 SPMODEL Development Group. All rights reserved. !------------------------------------------------------------------------ ! !表題 et_mpi_module テストプログラム (正逆変換) ! !履歴 2023/03/06 竹広真一 ! program et_mpi_module_test_base2 use dc_message, only : MessageNotify use dc_test, only : AssertEqual use dc_types, only: DP use et_mpi_module use mpi implicit none !---- 空間解像度設定 ---- !!$ integer, parameter :: im=32, jm=16 ! 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 :: im=64, jm=32 ! 格子点の設定(X,Y) integer, parameter :: km=21, lm=21 ! 切断波数の設定(X,Y) !!$ integer, parameter :: im=64, jm=16 ! 格子点の設定(X,Y) !!$ integer, parameter :: km=21, lm=10 ! 切断波数の設定(X,Y) !---- 変数 ---- real(DP), allocatable :: vx_Data(:,:) ! 格子データ real(DP), allocatable :: ft_Data(:,:) ! スペクトルデータ !!$ real(DP), allocatable :: ft_Data1(:,:) ! スペクトルデータ !!$ !!$ real(DP), allocatable :: fy_Data(:,:) ! スペクトルデータ !!$ real(DP), allocatable :: fy_Data1(:,:) ! スペクトルデータ real(DP), allocatable :: vf_Data(:,:) ! スペクトルデー !!$ real(DP), allocatable :: ve_Data1(:,:) ! スペクトルデー real(DP), allocatable :: vx_Xi(:,:) ! 格子データ real(DP), allocatable :: y_Xi(:) ! 格子データ integer :: k=2,l=5 integer :: np, ip, ierr integer :: iip !---- 座標変数など ---- real(DP), parameter :: xmin = 0.0d0, xmax=2.0d0 real(DP), parameter :: ymin = 0.0d0, ymax=1.0d0 real(DP), parameter :: pi=3.1415926535897932385D0 ! 判定誤差設定 integer, parameter :: check_digits = 10 integer, parameter :: ignore = -11 call MessageNotify('M','et_mpi_module_test_base2', & 'et_mpi_module basic function tests') !---------------- MPI スタート --------------------- call MPI_INIT(IERR) call MPI_COMM_RANK(MPI_COMM_WORLD,IP,IERR) call MPI_COMM_SIZE(MPI_COMM_WORLD,NP,IERR) !---------------- 座標値の設定 --------------------- call et_mpi_initial(im,jm,km,lm,xmin,xmax,ymin,ymax) ! スペクトル初期化 allocate(vx_Data(js(ip):je(ip),0:im-1)) allocate(ft_Data(2*kc(ip),0:lm)) !!$ allocate(ft_Data1(2*kc(ip),0:lm)) allocate(vf_Data(js(ip):je(ip),2*kc(ip))) !!$ allocate(ve_Data1(js(ip):je(ip),-km:km)) !!$ allocate(fy_Data(2*kc(ip),0:jm)) !!$ allocate(fy_Data1(2*kc(ip),0:jm)) allocate(vx_Xi(js(ip):je(ip),0:im-1)) allocate(y_Xi(0:jm)) vx_Xi = (vx_Y - (ymin+ymax)/2 )*2/(ymax-ymin) y_Xi = (Y_Y - (ymin+ymax)/2 )*2/(ymax-ymin) !------------------- 初期値設定 ---------------------- vx_Data = cos(k*pi*vx_X) * vx_xi ft_Data = 0.0D0 if ( kf_k(k) > 0 ) then ft_Data(kf_k(k),1) = 0.5 endif call check(transpose(af_ae(transpose(at_ay(ay_av(transpose(ae_ax(vx_data))))))), ft_Data, & 'Redundant Transform cos(k*pi*X)*T_1(Y)') call check(transpose(av_ay(transpose(ax_ae(ae_af(transpose(ay_at(ft_data))))))), vx_Data, & 'Redundant Inverse transform cos(k*pi*X)*T_1(Y)') vx_Data = sin(k*pi*vx_X) * vx_xi ft_Data = 0.0D0 if ( kf_k(-k) > 0 ) then ft_Data(kf_k(-k),1) = -0.5D0 endif call check(transpose(af_ae(transpose(at_ay(ay_av(transpose(ae_ax(vx_data))))))), ft_Data, & 'Redundant Transform sin(k*pi*X)*T_1(Y)') call check(transpose(av_ay(transpose(ax_ae(ae_af(transpose(ay_at(ft_data))))))), vx_Data, & 'Redundant Inverse transform sin(k*pi*X)*T_1(Y)') vx_Data = cos(l*pi*vx_X) * (2*vx_Xi**2-1.0D0) ft_Data = 0.0 if ( kf_k(l) > 0 ) then ft_Data(kf_k(l),2) = 0.5D0 endif call check(transpose(af_ae(transpose(at_ay(ay_av(transpose(ae_ax(vx_data))))))), ft_Data, & 'Redundant Transform cos(k*pi*X)*T_2(Y)') call check(transpose(av_ay(transpose(ax_ae(ae_af(transpose(ay_at(ft_data))))))), vx_Data, & 'Redundant Inverse transform cos(k*pi*X)*T_2(Y)') vx_Data = sin(l*pi*vx_X) * (2*vx_Xi**2-1.0D0) ft_Data = 0.0 if ( kf_k(l) > 0 ) then ft_Data(kf_k(-l),2) = -0.5D0 endif call check(transpose(af_ae(transpose(at_ay(ay_av(transpose(ae_ax(vx_data))))))), ft_Data, & 'Redundant Transform sin(k*pi*X)*T_2(Y)') call check(transpose(av_ay(transpose(ax_ae(ae_af(transpose(ay_at(ft_data))))))), vx_Data, & 'Redundant Inverse transform sin(k*pi*X)*T_2(Y)') !------ l=0 モード ------ vx_Data = sin(k*pi*vx_X)/2 ft_Data = 0.0 if ( kf_k(-k) > 0 ) then ft_Data(kf_k(-k),0) = -0.5 endif call check(transpose(af_ae(transpose(at_ay(ay_av(transpose(ae_ax(vx_data))))))), ft_Data, & 'Redundant Transform sin(k*pi*X)/2') call check(transpose(av_ay(transpose(ax_ae(ae_af(transpose(ay_at(ft_data))))))), vx_Data, & 'Redundant Inverse transform sin(k*pi*X)/2') vx_Data = cos(k*pi*vx_X)/2 ft_Data = 0.0 if ( kf_k(k) > 0 ) then ft_Data(kf_k(k),0) = 0.5 endif call check(transpose(af_ae(transpose(at_ay(ay_av(transpose(ae_ax(vx_data))))))), ft_Data, & 'Redundant Transform cos(k*pi*X)/2') call check(transpose(av_ay(transpose(ax_ae(ae_af(transpose(ay_at(ft_data))))))), vx_Data, & 'Redundant Inverse transform cos(k*pi*X)/2') !------ k=0 モード ------ vx_Data = vx_Xi ft_Data = 0.0 if ( kf_k(0) > 0 ) then ft_Data(kf_k(0),1) = 1.0D0 ft_Data(2*kc(ip)-kf_k(0)+1,1) = 1.0D0 endif call check(transpose(af_ae(transpose(at_ay(ay_av(transpose(ae_ax(vx_data))))))), ft_Data, & 'Redundant Transform T_1(Y)') call check(transpose(av_ay(transpose(ax_ae(ae_af(transpose(ay_at(ft_data))))))), vx_Data, & 'Redundant Inverse transform T_1(Y)') vx_Data = 2*vx_Xi**2-1.0D0 ft_Data = 0.0 if ( kf_k(0) > 0 ) then ft_Data(kf_k(0),2) = 1.0D0 ft_Data(2*kc(ip)-kf_k(0)+1,2) = 1.0D0 endif call check(transpose(af_ae(transpose(at_ay(ay_av(transpose(ae_ax(vx_data))))))), ft_Data, & 'Redundant Transform T_2(Y)') call check(transpose(av_ay(transpose(ax_ae(ae_af(transpose(ay_at(ft_data))))))), vx_Data, & 'Redundant Inverse transform T_2(Y)') !------ k=l=0 モード ------ vx_Data = 1.0D0/2.0D0 ft_Data = 0.0 if ( kf_k(0) > 0 ) then ft_Data(kf_k(0),0) = 1.0 ft_Data(2*kc(ip)-kf_k(0)+1,0) = 1.0D0 endif call check(transpose(af_ae(transpose(at_ay(ay_av(transpose(ae_ax(vx_data))))))), ft_Data, & 'Redundant Transform constatn field') call check(transpose(av_ay(transpose(ax_ae(ae_af(transpose(ay_at(ft_data))))))), vx_Data, & 'Redundant Inverse transform constatn field') call MPI_FINALIZE(IERR) call MessageNotify('M','et_mpi_test_base2', & 'et_mpi_module basic function tests succeeded!') contains subroutine check(var,sol,funcname) real(DP) :: var(:,:) ! 判定する配列 real(DP) :: sol(:,:) ! 誤差 character(len=*) :: funcname call AssertEqual( & message = funcname, & answer = sol, & check = var, & significant_digits = check_digits, ignore_digits = ignore ) end subroutine check end program et_mpi_module_test_base2