!---------------------------------------------------------------------- ! Copyright (c) 2016 Shin-ichi Takehiro. All rights reserved. !---------------------------------------------------------------------- ! !表題 ut_mpi_module_spuack テストプログラム ! 積分・平均計算 ! !履歴 2016/08/04 竹広真一 wt_mpi_module_supack_test_itegral.f90 より改造 ! program ut_mpi_module_svpack_integral_test use dc_message, only : MessageNotify use dc_test, only : AssertEqual use ut_mpi_module_svpack use mpi 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(0:im-1,jm) :: xy_Data real(8), dimension(0:im-1) :: x_Data real(8), dimension(jm) :: y_Data real(8) :: Data real(8), allocatable :: xyh_Data(:,:,:) real(8), allocatable :: xh_Data(:,:) real(8), allocatable :: yh_Data(:,:) real(8), allocatable :: h_Data(:) ! 判定誤差設定 integer, parameter :: check_digits = 8 integer, parameter :: ignore = -9 real(8), parameter :: pi=3.1415926535897932385D0 integer :: iproc, np, ierr !---------------- 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) !============================ 積分(xyz,xyh) ============================== call MessageNotify('M','ut_mpi_module_svpack_integral_test', & 'ut_mpi_module_svpack integration functions tests') call ut_mpi_Initial(im,jm,km,nm,lm,ri,ro) allocate(xyh_Data(0:im-1,1:jm,kc)) allocate(xh_Data(0:im-1,kc)) allocate(yh_Data(1:jm,kc)) allocate(h_Data(kc)) !---------- 定数 ---------- xyh_Data = 1.0D0 yh_Data = 2*pi call AssertEqual(& message='yh_IntLon_xyh with constant field', & answer = yh_Data, & check = yh_IntLon_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xh_Data = 2.0D0 call AssertEqual(& message='xh_IntLat_xyh with constant field', & answer = xh_Data, & check = xh_IntLat_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Data = 1/3.0D0*(ro**3-ri**3) call AssertEqual(& message='xy_IntRad_xyh with constant field', & answer = xy_Data, & check = xy_IntRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) h_Data = 4*pi call AssertEqual(& message='h_IntLonLat_xyh with constant field', & answer = h_Data, & check = h_IntLonLat_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 2/3.0D0*(ro**3-ri**3) call AssertEqual(& message='x_IntLatRad_xyh with constant field', & answer = x_Data, & check = x_IntLatRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = 2*pi/3.0D0*(ro**3-ri**3) call AssertEqual(& message='y_IntLonRad_xyh with constant field', & answer = y_Data, & check = y_IntLonRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) Data = 4*pi/3*(ro**3-ri**3) call AssertEqual(& message='IntLonLatRad_xyh with constant field', & answer = Data, & check = IntLonLatRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !------------------ r ----------------------- xyh_Data = xyh_Rad yh_Data = 2*pi* xyh_Rad(1,:,:) call AssertEqual(& message='yh_IntLon_xyh with r-field', & answer = yh_Data, & check = yh_IntLon_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xh_Data = 2.0D0 * xyh_Data(:,1,:) call AssertEqual(& message='xh_IntLat_xyh with r-field', & answer = xh_Data, & check = xh_IntLat_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Data = 1/4.0D0*(ro**4-ri**4) call AssertEqual(& message='xy_IntRad_xyh with r field', & answer = xy_Data, & check = xy_IntRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) h_Data = 4*pi * xyh_Data(1,1,:) call AssertEqual(& message='h_IntLonLat_xyh with r field', & answer = h_Data, & check = h_IntLonLat_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1/2.0D0*(ro**4-ri**4) call AssertEqual(& message='x_IntLatRad_xyh with r field', & answer = x_Data, & check = x_IntLatRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = pi/2.0D0*(ro**4-ri**4) call AssertEqual(& message='y_IntLonRad_xyh with constant field', & answer = y_Data, & check = y_IntLonRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) Data = pi*(ro**4-ri**4) call AssertEqual(& message='IntLonLatRad_xyh with constant field', & answer = Data, & check = IntLonLatRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !--------- sin(phi)**2 --------- xyh_Data = sin(xyh_Lat)**2 yh_Data = 2*pi* xyh_Data(1,:,:) call AssertEqual(& message='yh_IntLon_xyh with sin^2φ field', & answer = yh_Data, & check = yh_IntLon_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xh_Data = 2.0D0/3.0D0 call AssertEqual(& message='xh_IntLat_xyh with sin^2φ field', & answer = xh_Data, & check = xh_IntLat_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Data = 1/3.0D0*(ro**3-ri**3) * xyh_Data(:,:,1) call AssertEqual(& message='xy_IntRad_xyh with sin^2φ field', & answer = xy_Data, & check = xy_IntRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) h_Data = 4*pi/3.0 call AssertEqual(& message='h_IntLonLat_xyh with sin^2φ field', & answer = h_Data, & check = h_IntLonLat_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 2/9.0D0*(ro**3-ri**3) call AssertEqual(& message='x_IntLatRad_xyh with sin^2φ field', & answer = x_Data, & check = x_IntLatRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = 2*pi/3.0D0*(ro**3-ri**3) * xyh_Data(1,:,1) call AssertEqual(& message='y_IntLonRad_xyh with sin^2φ field', & answer = y_Data, & check = y_IntLonRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) Data = 4*pi/9*(ro**3-ri**3) call AssertEqual(& message='IntLonLatRad_xyh with constant field', & answer = Data, & check = IntLonLatRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(lambda)**2 xyh_Data = sin(xyh_Lon)**2 yh_Data = pi call AssertEqual(& message='yh_IntLon_xyh with sin(lambda)**2', & answer = yh_Data, & check = yh_IntLon_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xh_Data = 2.0D0 * xyh_Data(:,1,:) call AssertEqual(& message='xh_IntLat_xyh with sin(lambda)**2', & answer = xh_Data, & check = xh_IntLat_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Data = 1/3.0D0*(ro**3-ri**3) * xyh_Data(:,:,1) call AssertEqual(& message='xy_IntRad_xyh with sin(lambda)**2', & answer = xy_Data, & check = xy_IntRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) h_Data = 2*pi call AssertEqual(& message='h_IntLonLat_xyh with sin(lambda)**2', & answer = h_Data, & check = h_IntLonLat_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 2.0D0/3.0D0*(ro**3-ri**3) * xyh_Data(:,1,1) call AssertEqual(& message='x_IntLatRad_xyh with sin(lambda)**2', & answer = x_Data, & check = x_IntLatRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = pi/3.0D0*(ro**3-ri**3) call AssertEqual(& message='y_IntLonRad_xyh with sin(lambda)**2', & answer = y_Data, & check = y_IntLonRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLonLatRad_xyh with sin(lambda)**2', & answer = 2*pi/3*(ro**3-ri**3), & check = IntLonLatRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ 積分(xy,xy) ============================= ! 定数 xy_Data = 1.0D0 y_Data = 2*pi call AssertEqual(& message='y_IntLon_xy with constant field', & answer = y_Data, & check = y_IntLon_xy(xy_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 2.0D0 call AssertEqual(& message='x_IntLat_xy with constant field', & answer = x_Data, & check = x_IntLat_xy(xy_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLonLat_xy with constant field', & answer = 4*pi, & check = IntLonLat_xy(xy_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(lambda)**2 xy_Data = sin(xy_Lon)**2 y_Data = pi call AssertEqual(& message='y_IntLon_xy with sin(lambda)**2', & answer = y_Data, & check = y_IntLon_xy(xy_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 2.0d0 * xy_Data(:,1) call AssertEqual(& message='x_IntLat_xy with sin(lambda)**2', & answer = x_Data, & check = x_IntLat_xy(xy_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLonLat_xy with sin(lambda)**2', & answer = 2*pi, & check = IntLonLat_xy(xy_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(phi)**2 xy_Data = sin(xy_Lat)**2 y_Data = 2*pi* xy_Data(1,:) call AssertEqual(& message='y_IntLon_xy with sin(phi)**2', & answer = y_Data, & check = y_IntLon_xy(xy_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 2.0D0/3.0D0 call AssertEqual(& message='x_IntLat_xy with sin(phi)**2', & answer = x_Data, & check = x_IntLat_xy(xy_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLonLat_xy with sin(phi)**2', & answer = 4*pi/3.0, & check = IntLonLat_xy(xy_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ 積分(yz,yh) ============================= ! 定数 yh_Data = 1.0D0 h_Data = 2.0D0 call AssertEqual(& message='h_IntLat_yh with constant field', & answer = h_Data, & check = h_IntLat_yh(yh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = 1/3.0D0*(ro**3-ri**3) call AssertEqual(& message='y_IntRad_yh with constant field', & answer = y_Data, & check = y_IntRad_yh(yh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLatRad_yh with constant field', & answer = 2/3.0D0*(ro**3-ri**3), & check = IntLatRad_yh(yh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! r^2 yh_Data = xyh_Rad(0,:,:)**2 h_Data = 2.0D0 * yh_Data(1,:) call AssertEqual(& message='h_IntLat_yh with r^2', & answer = h_Data, & check = h_IntLat_yh(yh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = 1/5.0D0*(ro**5-ri**5) call AssertEqual(& message='y_IntRad_yh with r^2', & answer = y_Data, & check = y_IntRad_yh(yh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLatRad_yh with r^2', & answer = 2/5.0D0*(ro**5-ri**5), & check = IntLatRad_yh(yh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(phi)**2 yh_Data = sin(xyh_Lat(0,:,:))**2 h_Data = 2.0D0/3.0D0 call AssertEqual(& message='h_IntLat_yh with sin(phi)**2', & answer = h_Data, & check = h_IntLat_yh(yh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = 1/3.0D0*(ro**3-ri**3) * yh_Data(:,1) call AssertEqual(& message='y_IntRad_yh with sin(phi)**2', & answer = y_Data, & check = y_IntRad_yh(yh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLatRad_yh with sin(phi)**2', & answer = 2/9.0D0*(ro**3-ri**3), & check = IntLatRad_yh(yh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ 積分(xh) ============================= ! 定数 xh_Data = 1.0D0 h_Data = 2*pi call AssertEqual(& message='h_IntLon_xh with constant field', & answer = h_Data, & check = h_IntLon_xh(xh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1/3.0D0*(ro**3-ri**3) call AssertEqual(& message='x_IntRad_xh with constant field', & answer = x_Data, & check = x_IntRad_xh(xh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLonRad_xh with constant field', & answer = 2*pi/3.0D0*(ro**3-ri**3), & check = IntLonRad_xh(xh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(lambda)**2 xh_Data = sin(xyh_Lon(:,1,:))**2 h_Data = pi call AssertEqual(& message='h_IntLon_xh with sin(lambda)**2', & answer = h_Data, & check = h_IntLon_xh(xh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1/3.0D0*(ro**3-ri**3) * xh_Data(:,1) call AssertEqual(& message='x_IntRad_xh with sin(lambda)**2', & answer = x_Data, & check = x_IntRad_xh(xh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLonRad_xh with sin(lambda)**2', & answer = pi/3.0D0*(ro**3-ri**3) , & check = IntLonRad_xh(xh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! r^2 xh_Data = spread(h_Rad**2,1,im) h_Data = 2*pi* h_Rad**2 call AssertEqual(& message='h_IntLon_xh with r^2', & answer = h_Data, & check = h_IntLon_xh(xh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1/5.0D0*(ro**5-ri**5) call AssertEqual(& message='x_IntRad_xh with r^2', & answer = x_Data, & check = x_IntRad_xh(xh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLonRad_xh with r^2', & answer = 2*pi/5.0D0*(ro**5-ri**5), & check = IntLonRad_xh(xh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ 積分(x) ============================= ! 定数 x_Data = 1.0D0 call AssertEqual(& message='IntLon_x with constant field', & answer = 2*pi, & check = IntLon_x(x_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(lambda)**2 x_Data = sin(x_Lon)**2 call AssertEqual(& message='IntLon_x with sin(lambda)**2', & answer = pi, & check = IntLon_x(x_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ 積分(y,v) ============================= ! 定数 y_Data = 1.0D0 call AssertEqual(& message='IntLat_y with constant field', & answer = 2.0D0, & check = IntLat_y(y_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(phi)**2 y_Data = sin(y_Lat)**2 call AssertEqual(& message='IntLat_y with sin(phi)**2', & answer = 2.0D0/3.0D0, & check = IntLat_y(y_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ 積分(z) ============================= ! 定数 h_Data = 1.0D0 call AssertEqual(& message='IntRad_r with constant field', & answer = 1/3.0D0*(ro**3-ri**3), & check = IntRad_h(h_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! r^2 h_Data = h_Rad**2 call AssertEqual(& message='IntRad_r with r^2', & answer = 1/5.0D0*(ro**5-ri**5), & check = IntRad_h(h_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ 平均(xyz,xyh) ============================== !---------- 定数 ---------- xyh_Data = 1.0D0 yh_Data = 1.0D0 call AssertEqual(& message='yh_AvrLon_xyh with constant field', & answer = yh_Data, & check = yh_AvrLon_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xh_Data = 1.0D0 call AssertEqual(& message='xh_AvrLat_xyh with constant field', & answer = xh_Data, & check = xh_AvrLat_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Data = 1.0D0 call AssertEqual(& message='xy_AvrRad_xyh with constant field', & answer = xy_Data, & check = xy_AvrRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) h_Data = 1.0D0 call AssertEqual(& message='h_AvrLonLat_xyh with constant field', & answer = h_Data, & check = h_AvrLonLat_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1.0D0 call AssertEqual(& message='x_AvrLatRad_xyh with constant field', & answer = x_Data, & check = x_AvrLatRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = 1.0D0 call AssertEqual(& message='y_AvrLonRad_xyh with constant field', & answer = y_Data, & check = y_AvrLonRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) Data = 1.0D0 call AssertEqual(& message='AvrLonLatRad_xyh with constant field', & answer = Data, & check = AvrLonLatRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !------------------ r ----------------------- xyh_Data = xyh_Rad yh_Data = xyh_Rad(1,:,:) call AssertEqual(& message='yh_AvrLon_xyh with r-field', & answer = yh_Data, & check = yh_AvrLon_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xh_Data = xyh_Data(:,1,:) call AssertEqual(& message='xh_AvrLat_xyh with r-field', & answer = xh_Data, & check = xh_AvrLat_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Data = 1.0D0/4.0D0*(ro**4-ri**4)/(1/3.0D0*(ro**3-ri**3)) call AssertEqual(& message='xy_AvrRad_xyh with r field', & answer = xy_Data, & check = xy_AvrRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) h_Data = xyh_Data(1,1,:) call AssertEqual(& message='h_AvrLonLat_xyh with r field', & answer = h_Data, & check = h_AvrLonLat_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1/2.0D0*(ro**4-ri**4)/(2/3.0D0*(ro**3-ri**3)) call AssertEqual(& message='x_AvrLatRad_xyh with r field', & answer = x_Data, & check = x_AvrLatRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = pi/2.0D0*(ro**4-ri**4)/(2*pi/3.0D0*(ro**3-ri**3)) call AssertEqual(& message='y_AvrLonRad_xyh with constant field', & answer = y_Data, & check = y_AvrLonRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) Data = pi*(ro**4-ri**4)/(4*pi/3*(ro**3-ri**3)) call AssertEqual(& message='AvrLonLatRad_xyh with constant field', & answer = Data, & check = AvrLonLatRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !--------- sin(phi)**2 --------- xyh_Data = sin(xyh_Lat)**2 yh_Data = xyh_Data(1,:,:) call AssertEqual(& message='yh_AvrLon_xyh with sin^2φ field', & answer = yh_Data, & check = yh_AvrLon_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xh_Data = 1.0D0/3.0D0 call AssertEqual(& message='xh_AvrLat_xyh with sin^2φ field', & answer = xh_Data, & check = xh_AvrLat_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Data = xyh_Data(:,:,1) call AssertEqual(& message='xy_AvrRad_xyh with sin^2φ field', & answer = xy_Data, & check = xy_AvrRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) h_Data = 1.0D0/3.0D0 call AssertEqual(& message='h_AvrLonLat_xyh with sin^2φ field', & answer = h_Data, & check = h_AvrLonLat_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1.0D0/3.0D0 call AssertEqual(& message='x_AvrLatRad_xyh with sin^2φ field', & answer = x_Data, & check = x_AvrLatRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = xyh_Data(1,:,1) call AssertEqual(& message='y_AvrLonRad_xyh with sin^2φ field', & answer = y_Data, & check = y_AvrLonRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) Data = 1.0D0/3D0 call AssertEqual(& message='AvrLonLatRad_xyh with constant field', & answer = Data, & check = AvrLonLatRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(lambda)**2 xyh_Data = sin(xyh_Lon)**2 yh_Data = 0.5D0 call AssertEqual(& message='yh_AvrLon_xyh with sin(lambda)**2', & answer = yh_Data, & check = yh_AvrLon_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xh_Data = xyh_Data(:,1,:) call AssertEqual(& message='xh_AvrLat_xyh with sin(lambda)**2', & answer = xh_Data, & check = xh_AvrLat_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Data = xyh_Data(:,:,1) call AssertEqual(& message='xy_AvrRad_xyh with sin(lambda)**2', & answer = xy_Data, & check = xy_AvrRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) h_Data = 0.5D0 call AssertEqual(& message='h_AvrLonLat_xyh with sin(lambda)**2', & answer = h_Data, & check = h_AvrLonLat_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = xyh_Data(:,1,1) call AssertEqual(& message='x_AvrLatRad_xyh with sin(lambda)**2', & answer = x_Data, & check = x_AvrLatRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = 0.5D0 call AssertEqual(& message='y_AvrLonRad_xyh with sin(lambda)**2', & answer = y_Data, & check = y_AvrLonRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLonLatRad_xyh with sin(lambda)**2', & answer = 0.5D0, & check = AvrLonLatRad_xyh(xyh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ 平均(xy,xy) ============================= ! 定数 xy_Data = 1.0D0 y_Data = 1.0D0 call AssertEqual(& message='y_AvrLon_xy with constant field', & answer = y_Data, & check = y_AvrLon_xy(xy_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1.0D0 call AssertEqual(& message='x_AvrLat_xy with constant field', & answer = x_Data, & check = x_AvrLat_xy(xy_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLonLat_xy with constant field', & answer = 1.0D0, & check = AvrLonLat_xy(xy_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(lambda)**2 xy_Data = sin(xy_Lon)**2 y_Data = 0.5D0 call AssertEqual(& message='y_AvrLon_xy with sin(lambda)**2', & answer = y_Data, & check = y_AvrLon_xy(xy_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = xy_Data(:,1) call AssertEqual(& message='x_AvrLat_xy with sin(lambda)**2', & answer = x_Data, & check = x_AvrLat_xy(xy_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLonLat_xy with sin(lambda)**2', & answer = 0.5D0, & check = AvrLonLat_xy(xy_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(phi)**2 xy_Data = sin(xy_Lat)**2 y_Data = xy_Data(1,:) call AssertEqual(& message='y_AvrLon_xy with sin(phi)**2', & answer = y_Data, & check = y_AvrLon_xy(xy_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1.0D0/3.0D0 call AssertEqual(& message='x_AvrLat_xy with sin(phi)**2', & answer = x_Data, & check = x_AvrLat_xy(xy_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLonLat_xy with sin(phi)**2', & answer = 1.0D0/3.0D0, & check = AvrLonLat_xy(xy_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ 平均(yz,yh) ============================= ! 定数 yh_Data = 1.0D0 h_Data = 1.0D0 call AssertEqual(& message='h_AvrLat_yh with constant field', & answer = h_Data, & check = h_AvrLat_yh(yh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = 1.0D0 call AssertEqual(& message='y_AvrRad_yh with constant field', & answer = y_Data, & check = y_AvrRad_yh(yh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLatRad_yh with constant field', & answer = 1.0D0, & check = AvrLatRad_yh(yh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! r^2 yh_Data = xyh_Rad(0,:,:)**2 h_Data = yh_Data(1,:) call AssertEqual(& message='h_AvrLat_yh with r^2', & answer = h_Data, & check = h_AvrLat_yh(yh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = 3.0D0/5.0D0*(ro**5-ri**5)/(ro**3-ri**3) call AssertEqual(& message='y_AvrRad_yh with r^2', & answer = y_Data, & check = y_AvrRad_yh(yh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLatRad_yh with r^2', & answer = 3.0D0/5.0D0*(ro**5-ri**5)/(ro**3-ri**3), & check = AvrLatRad_yh(yh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(phi)**2 yh_Data = sin(xyh_Lat(0,:,:))**2 h_Data = 1.0D0/3.0D0 call AssertEqual(& message='h_AvrLat_yh with sin(phi)**2', & answer = h_Data, & check = h_AvrLat_yh(yh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = yh_Data(:,1) call AssertEqual(& message='y_AvrRad_yh with sin(phi)**2', & answer = y_Data, & check = y_AvrRad_yh(yh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLatRad_yh with sin(phi)**2', & answer = 1.0D0/3.0D0, & check = AvrLatRad_yh(yh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ 平均(xh) ============================= ! 定数 xh_Data = 1.0D0 h_Data = 1.0D0 call AssertEqual(& message='h_AvrLon_xh with constant field', & answer = h_Data, & check = h_AvrLon_xh(xh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1.0D0 call AssertEqual(& message='x_AvrRad_xh with constant field', & answer = x_Data, & check = x_AvrRad_xh(xh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLonRad_xh with constant field', & answer = 1.0D0, & check = AvrLonRad_xh(xh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(lambda)**2 xh_Data = sin(xyh_Lon(:,1,:))**2 h_Data = 0.5D0 call AssertEqual(& message='h_AvrLon_xh with sin(lambda)**2', & answer = h_Data, & check = h_AvrLon_xh(xh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = xh_Data(:,1) call AssertEqual(& message='x_AvrRad_xh with sin(lambda)**2', & answer = x_Data, & check = x_AvrRad_xh(xh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLonRad_xh with sin(lambda)**2', & answer = 0.5D0, & check = AvrLonRad_xh(xh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! r^2 xh_Data = spread(h_Rad**2,1,im) h_Data = h_Rad**2 call AssertEqual(& message='h_AvrLon_xh with r^2', & answer = h_Data, & check = h_AvrLon_xh(xh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 3.0D0/5.0D0*(ro**5-ri**5)/(ro**3-ri**3) call AssertEqual(& message='x_AvrRad_xh with r^2', & answer = x_Data, & check = x_AvrRad_xh(xh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLonRad_xh with r^2', & answer = 3.0D0/5.0D0*(ro**5-ri**5)/(ro**3-ri**3), & check = AvrLonRad_xh(xh_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ 平均(x) ============================= ! 定数 x_Data = 1.0D0 call AssertEqual(& message='AvrLon_x with constant field', & answer = 1.0D0, & check = AvrLon_x(x_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(lambda)**2 x_Data = sin(x_Lon)**2 call AssertEqual(& message='AvrLon_x with sin(lambda)**2', & answer = 0.5D0, & check = AvrLon_x(x_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ 平均(y,v) ============================= ! 定数 y_Data = 1.0D0 call AssertEqual(& message='AvrLat_y with constant field', & answer = 1.0D0, & check = AvrLat_y(y_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(phi)**2 y_Data = sin(y_Lat)**2 call AssertEqual(& message='AvrLat_y with sin(phi)**2', & answer = 1.0D0/3.0D0, & check = AvrLat_y(y_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ 平均(r) ============================= ! 定数 h_Data = 1.0D0 call AssertEqual(& message='AvrRad_r with constant field', & answer = 1.0D0, & check = AvrRad_h(h_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! r^2 h_Data = h_Rad**2 call AssertEqual(& message='AvrRad_r with r^2', & answer = 3.0D0/5.0D0*(ro**5-ri**5)/(ro**3-ri**3), & check = AvrRad_h(h_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call MessageNotify('M','ut_mpi_module_svpack_integral_test', & 'ut_mpi_module_svpack integration/averaging function tests succeeded!') !------ MPIの終了 ------ call MPI_FINALIZE(IERR) end program ut_mpi_module_svpack_integral_test