!---------------------------------------------------------------------- ! Copyright (c) 2010--2011 Shin-ichi Takehiro. All rights reserved. !---------------------------------------------------------------------- ! !ɽÂê wt_mpi_module ¥Æ¥¹¥È¥×¥í¥°¥é¥à ! ÀÑʬ¡¦Ê¿¶Ñ·×»» ! !ÍúÎò 2010/04/18 Ãݹ­¿¿°ì wt_module_sjpack_integral_test.f90 ¤è¤ê²þ¤ ! 2011/09/14 Ãݹ­¿¿°ì MPI ÊÂÎó²½ ! program wt_mpi_module_integral_test use dc_message, only : MessageNotify use dc_test, only : AssertEqual use wt_mpi_module use mpi implicit none integer,parameter :: im=32, jm=16, km=16 ! ³Ê»ÒÅÀ¤ÎÀßÄê(·ÐÅÙ, °ÞÅÙ, Æ°·Â) integer,parameter :: nm=10, lm=16 ! ÀÚÃÇÇÈ¿ô¤ÎÀßÄê(¿åÊ¿, Æ°·Â) real(8),parameter :: ri=0.5, ro=1.5 ! Æ⳰Ⱦ·Â real(8), dimension(0:im-1,1:jm,0:km) :: xyz_Data real(8), dimension(0:im-1,1:jm) :: xy_Data real(8), dimension(1:jm,0:km) :: yz_Data real(8), dimension(0:im-1,0:km) :: xz_Data real(8), dimension(0:im-1) :: x_Data real(8), dimension(1:jm) :: y_Data real(8), dimension(0:km) :: z_Data real(8) :: Data real(8), allocatable :: xvz_Data(:,:,:) real(8), allocatable :: xv_Data(:,:) real(8), allocatable :: vz_Data(:,:) real(8), allocatable :: v_Data(:) ! ȽÄê¸íº¹ÀßÄê integer, parameter :: check_digits = 8 integer, parameter :: ignore = -9 real(8), parameter :: pi=3.1415926535897932385D0 integer :: iproc, np, ierr !---------------- MPI ¥¹¥¿¡¼¥È --------------------- call MPI_INIT(IERR) call MPI_COMM_RANK(MPI_COMM_WORLD,IPROC,IERR) call MPI_COMM_SIZE(MPI_COMM_WORLD,NP,IERR) !============================ ÀÑʬ(xyz,xvz) ============================== call MessageNotify('M','wt_mpi_module_integral_test', & 'wt_mpi_module integration functions tests') call wt_mpi_Initial(im,jm,km,nm,lm,ri,ro) allocate(xvz_Data(0:im-1,1:jc,0:km)) allocate(xv_Data(0:im-1,1:jc)) allocate(vz_Data(1:jc,0:km)) allocate(v_Data(1:jc)) !---------- Äê¿ô ---------- xyz_Data = 1.0D0 xvz_Data = 1.0D0 yz_Data = 2*pi call AssertEqual(& message='yz_IntLon_xyz with constant field', & answer = yz_Data, & check = yz_IntLon_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) vz_Data = 2*pi call AssertEqual(& message='vz_IntLon_xvz with constant field', & answer = vz_Data, & check = vz_IntLon_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xz_Data = 2.0D0 call AssertEqual(& message='xz_IntLat_xyz with constant field', & answer = xz_Data, & check = xz_IntLat_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xz_Data = 2.0D0 call AssertEqual(& message='xz_IntLat_xvz with constant field', & answer = xz_Data, & check = xz_IntLat_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Data = 1/3.0D0*(ro**3-ri**3) call AssertEqual(& message='xy_IntRad_xyz with constant field', & answer = xy_Data, & check = xy_IntRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xv_Data = 1/3.0D0*(ro**3-ri**3) call AssertEqual(& message='xv_IntRad_xvz with constant field', & answer = xv_Data, & check = xv_IntRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) z_Data = 4*pi call AssertEqual(& message='z_IntLonLat_xyz with constant field', & answer = z_Data, & check = z_IntLonLat_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) z_Data = 4*pi call AssertEqual(& message='z_IntLonLat_xvz with constant field', & answer = z_Data, & check = z_IntLonLat_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 2/3.0D0*(ro**3-ri**3) call AssertEqual(& message='x_IntLatRad_xyz with constant field', & answer = x_Data, & check = x_IntLatRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 2/3.0D0*(ro**3-ri**3) call AssertEqual(& message='x_IntLatRad_xvz with constant field', & answer = x_Data, & check = x_IntLatRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = 2*pi/3.0D0*(ro**3-ri**3) call AssertEqual(& message='y_IntLonRad_xyz with constant field', & answer = y_Data, & check = y_IntLonRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) v_Data = 2*pi/3.0D0*(ro**3-ri**3) call AssertEqual(& message='v_IntLonRad_xvz with constant field', & answer = v_Data, & check = v_IntLonRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) Data = 4*pi/3*(ro**3-ri**3) call AssertEqual(& message='IntLonLatRad_xyz with constant field', & answer = Data, & check = IntLonLatRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) Data = 4*pi/3*(ro**3-ri**3) call AssertEqual(& message='IntLonLatRad_xvz with constant field', & answer = Data, & check = IntLonLatRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !------------------ r ----------------------- xyz_Data = xyz_Rad xvz_Data = xvz_Rad yz_Data = 2*pi* xyz_Rad(1,:,:) call AssertEqual(& message='yz_IntLon_xyz with r-field', & answer = yz_Data, & check = yz_IntLon_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) vz_Data = 2*pi* xvz_Rad(1,:,:) call AssertEqual(& message='vz_IntLon_xvz with r-field', & answer = vz_Data, & check = vz_IntLon_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xz_Data = 2.0D0 * xyz_Data(:,1,:) call AssertEqual(& message='xz_IntLat_xyz with r-field', & answer = xz_Data, & check = xz_IntLat_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xz_Data = 2.0D0 * xvz_Data(:,1,:) call AssertEqual(& message='xz_IntLat_xvz with r-field', & answer = xz_Data, & check = xz_IntLat_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Data = 1/4.0D0*(ro**4-ri**4) call AssertEqual(& message='xy_IntRad_xyz with r field', & answer = xy_Data, & check = xy_IntRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xv_Data = 1/4.0D0*(ro**4-ri**4) call AssertEqual(& message='xv_IntRad_xvz with r field', & answer = xv_Data, & check = xv_IntRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) z_Data = 4*pi * xyz_Data(1,1,:) call AssertEqual(& message='z_IntLonLat_xyz with r field', & answer = z_Data, & check = z_IntLonLat_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) z_Data = 4*pi * xvz_Data(1,1,:) call AssertEqual(& message='z_IntLonLat_xvz with r field', & answer = z_Data, & check = z_IntLonLat_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1/2.0D0*(ro**4-ri**4) call AssertEqual(& message='x_IntLatRad_xyz with r field', & answer = x_Data, & check = x_IntLatRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1/2.0D0*(ro**4-ri**4) call AssertEqual(& message='x_IntLatRad_xvz with r field', & answer = x_Data, & check = x_IntLatRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = pi/2.0D0*(ro**4-ri**4) call AssertEqual(& message='y_IntLonRad_xyz with constant field', & answer = y_Data, & check = y_IntLonRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) v_Data = pi/2.0D0*(ro**4-ri**4) call AssertEqual(& message='v_IntLonRad_xvz with constant field', & answer = v_Data, & check = v_IntLonRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) Data = pi*(ro**4-ri**4) call AssertEqual(& message='IntLonLatRad_xyz with constant field', & answer = Data, & check = IntLonLatRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) Data = pi*(ro**4-ri**4) call AssertEqual(& message='IntLonLatRad_xvz with constant field', & answer = Data, & check = IntLonLatRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !--------- sin(phi)**2 --------- xyz_Data = sin(xyz_Lat)**2 xvz_Data = sin(xvz_Lat)**2 yz_Data = 2*pi* xyz_Data(1,:,:) call AssertEqual(& message='yz_IntLon_xyz with sin^2¦Õ field', & answer = yz_Data, & check = yz_IntLon_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) vz_Data = 2*pi* xvz_Data(1,:,:) call AssertEqual(& message='vz_IntLon_xvz with sin^2¦Õ field', & answer = vz_Data, & check = vz_IntLon_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xz_Data = 2.0D0/3.0D0 call AssertEqual(& message='xz_IntLat_xyz with sin^2¦Õ field', & answer = xz_Data, & check = xz_IntLat_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xz_Data = 2.0D0/3.0D0 call AssertEqual(& message='xz_IntLat_xvz with sin^2¦Õ field', & answer = xz_Data, & check = xz_IntLat_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Data = 1/3.0D0*(ro**3-ri**3) * xyz_Data(:,:,1) call AssertEqual(& message='xy_IntRad_xyz with sin^2¦Õ field', & answer = xy_Data, & check = xy_IntRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xv_Data = 1/3.0D0*(ro**3-ri**3) * xvz_Data(:,:,1) call AssertEqual(& message='xv_IntRad_xvz with sin^2¦Õ field', & answer = xv_Data, & check = xv_IntRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) z_Data = 4*pi/3.0 call AssertEqual(& message='z_IntLonLat_xyz with sin^2¦Õ field', & answer = z_Data, & check = z_IntLonLat_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) z_Data = 4*pi/3.0 call AssertEqual(& message='z_IntLonLat_xvz with sin^2¦Õ field', & answer = z_Data, & check = z_IntLonLat_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 2/9.0D0*(ro**3-ri**3) call AssertEqual(& message='x_IntLatRad_xyz with sin^2¦Õ field', & answer = x_Data, & check = x_IntLatRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 2/9.0D0*(ro**3-ri**3) call AssertEqual(& message='x_IntLatRad_xvz with sin^2¦Õ field', & answer = x_Data, & check = x_IntLatRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = 2*pi/3.0D0*(ro**3-ri**3) * xyz_Data(1,:,1) call AssertEqual(& message='y_IntLonRad_xyz with sin^2¦Õ field', & answer = y_Data, & check = y_IntLonRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) v_Data = 2*pi/3.0D0*(ro**3-ri**3) * xvz_Data(1,:,1) call AssertEqual(& message='v_IntLonRad_xvz with sin^2¦Õ field', & answer = v_Data, & check = v_IntLonRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) Data = 4*pi/9*(ro**3-ri**3) call AssertEqual(& message='IntLonLatRad_xyz with constant field', & answer = Data, & check = IntLonLatRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) Data = 4*pi/9*(ro**3-ri**3) call AssertEqual(& message='IntLonLatRad_xvz with constant field', & answer = Data, & check = IntLonLatRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(lambda)**2 xyz_Data = sin(xyz_Lon)**2 xvz_Data = sin(xvz_Lon)**2 yz_Data = pi call AssertEqual(& message='yz_IntLon_xyz with sin(lambda)**2', & answer = yz_Data, & check = yz_IntLon_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) vz_Data = pi call AssertEqual(& message='vz_IntLon_xvz with sin(lambda)**2', & answer = vz_Data, & check = vz_IntLon_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xz_Data = 2.0D0 * xyz_Data(:,1,:) call AssertEqual(& message='xz_IntLat_xyz with sin(lambda)**2', & answer = xz_Data, & check = xz_IntLat_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='xz_IntLat_xvz with sin(lambda)**2', & answer = xz_Data, & check = xz_IntLat_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Data = 1/3.0D0*(ro**3-ri**3) * xyz_Data(:,:,1) call AssertEqual(& message='xy_IntRad_xyz with sin(lambda)**2', & answer = xy_Data, & check = xy_IntRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xv_Data = 1/3.0D0*(ro**3-ri**3) * xvz_Data(:,:,1) call AssertEqual(& message='xv_IntRad_xvz with sin(lambda)**2', & answer = xv_Data, & check = xv_IntRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) z_Data = 2*pi call AssertEqual(& message='z_IntLonLat_xyz with sin(lambda)**2', & answer = z_Data, & check = z_IntLonLat_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='z_IntLonLat_xvz with sin(lambda)**2', & answer = z_Data, & check = z_IntLonLat_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 2.0D0/3.0D0*(ro**3-ri**3) * xyz_Data(:,1,1) call AssertEqual(& message='x_IntLatRad_xyz with sin(lambda)**2', & answer = x_Data, & check = x_IntLatRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='x_IntLatRad_xvz with sin(lambda)**2', & answer = x_Data, & check = x_IntLatRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = pi/3.0D0*(ro**3-ri**3) call AssertEqual(& message='y_IntLonRad_xyz with sin(lambda)**2', & answer = y_Data, & check = y_IntLonRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) v_Data = pi/3.0D0*(ro**3-ri**3) call AssertEqual(& message='v_IntLonRad_xvz with sin(lambda)**2', & answer = v_Data, & check = v_IntLonRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLonLatRad_xyz with sin(lambda)**2', & answer = 2*pi/3*(ro**3-ri**3), & check = IntLonLatRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLonLatRad_xvz with sin(lambda)**2', & answer = 2*pi/3*(ro**3-ri**3), & check = IntLonLatRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ ÀÑʬ(xy,xv) ============================= ! Äê¿ô xy_Data = 1.0D0 xv_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 & ) v_Data = 2*pi call AssertEqual(& message='v_IntLon_xv with constant field', & answer = v_Data, & check = v_IntLon_xv(xv_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='x_IntLat_xv with constant field', & answer = x_Data, & check = x_IntLat_xv(xv_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 & ) call AssertEqual(& message='IntLonLat_xv with constant field', & answer = 4*pi, & check = IntLonLat_xv(xv_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(lambda)**2 xy_Data = sin(xy_Lon)**2 xv_Data = sin(xv_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 & ) v_Data = pi call AssertEqual(& message='v_IntLon_xv with sin(lambda)**2', & answer = v_Data, & check = v_IntLon_xv(xv_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='x_IntLat_xv with sin(lambda)**2', & answer = x_Data, & check = x_IntLat_xv(xv_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 & ) call AssertEqual(& message='IntLonLat_xv with sin(lambda)**2', & answer = 2*pi, & check = IntLonLat_xv(xv_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(phi)**2 xy_Data = sin(xy_Lat)**2 xv_Data = sin(xv_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 & ) v_Data = 2*pi* xv_Data(1,:) call AssertEqual(& message='v_IntLon_xv with sin(phi)**2', & answer = v_Data, & check = v_IntLon_xv(xv_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='x_IntLat_xv with sin(phi)**2', & answer = x_Data, & check = x_IntLat_xv(xv_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 & ) call AssertEqual(& message='IntLonLat_xv with sin(phi)**2', & answer = 4*pi/3.0, & check = IntLonLat_xv(xv_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ ÀÑʬ(yz,vz) ============================= ! Äê¿ô yz_Data = 1.0D0 vz_Data = 1.0D0 z_Data = 2.0D0 call AssertEqual(& message='z_IntLat_yz with constant field', & answer = z_Data, & check = z_IntLat_yz(yz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='z_IntLat_vz with constant field', & answer = z_Data, & check = z_IntLat_vz(vz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = 1/3.0D0*(ro**3-ri**3) call AssertEqual(& message='y_IntRad_yz with constant field', & answer = y_Data, & check = y_IntRad_yz(yz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) v_Data = 1/3.0D0*(ro**3-ri**3) call AssertEqual(& message='v_IntRad_vz with constant field', & answer = v_Data, & check = v_IntRad_vz(vz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLatRad_yz with constant field', & answer = 2/3.0D0*(ro**3-ri**3), & check = IntLatRad_yz(yz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLatRad_vz with constant field', & answer = 2/3.0D0*(ro**3-ri**3), & check = IntLatRad_vz(vz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! r^2 yz_Data = xyz_Rad(0,:,:)**2 vz_Data = xvz_Rad(0,:,:)**2 z_Data = 2.0D0 * yz_Data(1,:) call AssertEqual(& message='z_IntLat_yz with r^2', & answer = z_Data, & check = z_IntLat_yz(yz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='z_IntLat_vz with r^2', & answer = z_Data, & check = z_IntLat_vz(vz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = 1/5.0D0*(ro**5-ri**5) call AssertEqual(& message='y_IntRad_yz with r^2', & answer = y_Data, & check = y_IntRad_yz(yz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) v_Data = 1/5.0D0*(ro**5-ri**5) call AssertEqual(& message='v_IntRad_vz with r^2', & answer = v_Data, & check = v_IntRad_vz(vz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLatRad_yz with r^2', & answer = 2/5.0D0*(ro**5-ri**5), & check = IntLatRad_yz(yz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLatRad_vz with r^2', & answer = 2/5.0D0*(ro**5-ri**5), & check = IntLatRad_vz(vz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(phi)**2 yz_Data = sin(xyz_Lat(0,:,:))**2 vz_Data = sin(xvz_Lat(0,:,:))**2 z_Data = 2.0D0/3.0D0 call AssertEqual(& message='z_IntLat_yz with sin(phi)**2', & answer = z_Data, & check = z_IntLat_yz(yz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='z_IntLat_vz with sin(phi)**2', & answer = z_Data, & check = z_IntLat_vz(vz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = 1/3.0D0*(ro**3-ri**3) * yz_Data(:,1) call AssertEqual(& message='y_IntRad_yz with sin(phi)**2', & answer = y_Data, & check = y_IntRad_yz(yz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) v_Data = 1/3.0D0*(ro**3-ri**3) * vz_Data(:,1) call AssertEqual(& message='v_IntRad_vz with sin(phi)**2', & answer = v_Data, & check = v_IntRad_vz(vz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLatRad_yz with sin(phi)**2', & answer = 2/9.0D0*(ro**3-ri**3), & check = IntLatRad_yz(yz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLatRad_vz with sin(phi)**2', & answer = 2/9.0D0*(ro**3-ri**3), & check = IntLatRad_vz(vz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ ÀÑʬ(xz) ============================= ! Äê¿ô xz_Data = 1.0D0 z_Data = 2*pi call AssertEqual(& message='z_IntLon_xz with constant field', & answer = z_Data, & check = z_IntLon_xz(xz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1/3.0D0*(ro**3-ri**3) call AssertEqual(& message='x_IntRad_xz with constant field', & answer = x_Data, & check = x_IntRad_xz(xz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLonRad_xz with constant field', & answer = 2*pi/3.0D0*(ro**3-ri**3), & check = IntLonRad_xz(xz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(lambda)**2 xz_Data = sin(xyz_Lon(:,1,:))**2 z_Data = pi call AssertEqual(& message='z_IntLon_xz with sin(lambda)**2', & answer = z_Data, & check = z_IntLon_xz(xz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1/3.0D0*(ro**3-ri**3) * xz_Data(:,1) call AssertEqual(& message='x_IntRad_xz with sin(lambda)**2', & answer = x_Data, & check = x_IntRad_xz(xz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLonRad_xz with sin(lambda)**2', & answer = pi/3.0D0*(ro**3-ri**3) , & check = IntLonRad_xz(xz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! r^2 xz_Data = spread(z_Rad**2,1,im) z_Data = 2*pi* z_Rad**2 call AssertEqual(& message='z_IntLon_xz with r^2', & answer = z_Data, & check = z_IntLon_xz(xz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1/5.0D0*(ro**5-ri**5) call AssertEqual(& message='x_IntRad_xz with r^2', & answer = x_Data, & check = x_IntRad_xz(xz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='IntLonRad_xz with r^2', & answer = 2*pi/5.0D0*(ro**5-ri**5), & check = IntLonRad_xz(xz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ ÀÑʬ(x) ============================= ! Äê¿ô 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 & ) !============================ ÀÑʬ(y,v) ============================= ! Äê¿ô y_Data = 1.0D0 v_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 & ) call AssertEqual(& message='IntLat_v with constant field', & answer = 2.0D0, & check = IntLat_v(v_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(phi)**2 y_Data = sin(y_Lat)**2 v_Data = sin(v_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 & ) call AssertEqual(& message='IntLat_v with sin(phi)**2', & answer = 2.0D0/3.0D0, & check = IntLat_v(v_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ ÀÑʬ(z) ============================= ! Äê¿ô z_Data = 1.0D0 call AssertEqual(& message='IntRad_r with constant field', & answer = 1/3.0D0*(ro**3-ri**3), & check = IntRad_z(z_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! r^2 z_Data = z_Rad**2 call AssertEqual(& message='IntRad_r with r^2', & answer = 1/5.0D0*(ro**5-ri**5), & check = IntRad_z(z_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ Ê¿¶Ñ(xyz,xvz) ============================== !---------- Äê¿ô ---------- xyz_Data = 1.0D0 xvz_Data = 1.0D0 yz_Data = 1.0D0 call AssertEqual(& message='yz_AvrLon_xyz with constant field', & answer = yz_Data, & check = yz_AvrLon_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) vz_Data = 1.0D0 call AssertEqual(& message='vz_AvrLon_xvz with constant field', & answer = vz_Data, & check = vz_AvrLon_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xz_Data = 1.0D0 call AssertEqual(& message='xz_AvrLat_xyz with constant field', & answer = xz_Data, & check = xz_AvrLat_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xz_Data = 1.0D0 call AssertEqual(& message='xz_AvrLat_xvz with constant field', & answer = xz_Data, & check = xz_AvrLat_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Data = 1.0D0 call AssertEqual(& message='xy_AvrRad_xyz with constant field', & answer = xy_Data, & check = xy_AvrRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xv_Data = 1.0D0 call AssertEqual(& message='xv_AvrRad_xvz with constant field', & answer = xv_Data, & check = xv_AvrRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) z_Data = 1.0D0 call AssertEqual(& message='z_AvrLonLat_xyz with constant field', & answer = z_Data, & check = z_AvrLonLat_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) z_Data = 1.0D0 call AssertEqual(& message='z_AvrLonLat_xvz with constant field', & answer = z_Data, & check = z_AvrLonLat_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1.0D0 call AssertEqual(& message='x_AvrLatRad_xyz with constant field', & answer = x_Data, & check = x_AvrLatRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1.0D0 call AssertEqual(& message='x_AvrLatRad_xvz with constant field', & answer = x_Data, & check = x_AvrLatRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = 1.0D0 call AssertEqual(& message='y_AvrLonRad_xyz with constant field', & answer = y_Data, & check = y_AvrLonRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) v_Data = 1.0D0 call AssertEqual(& message='v_AvrLonRad_xvz with constant field', & answer = v_Data, & check = v_AvrLonRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) Data = 1.0D0 call AssertEqual(& message='AvrLonLatRad_xyz with constant field', & answer = Data, & check = AvrLonLatRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) Data = 1.0D0 call AssertEqual(& message='AvrLonLatRad_xvz with constant field', & answer = Data, & check = AvrLonLatRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !------------------ r ----------------------- xyz_Data = xyz_Rad xvz_Data = xvz_Rad yz_Data = xyz_Rad(1,:,:) call AssertEqual(& message='yz_AvrLon_xyz with r-field', & answer = yz_Data, & check = yz_AvrLon_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) vz_Data = xvz_Rad(1,:,:) call AssertEqual(& message='vz_AvrLon_xvz with r-field', & answer = vz_Data, & check = vz_AvrLon_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xz_Data = xyz_Data(:,1,:) call AssertEqual(& message='xz_AvrLat_xyz with r-field', & answer = xz_Data, & check = xz_AvrLat_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xz_Data = xvz_Data(:,1,:) call AssertEqual(& message='xz_AvrLat_xvz with r-field', & answer = xz_Data, & check = xz_AvrLat_xvz(xvz_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_xyz with r field', & answer = xy_Data, & check = xy_AvrRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xv_Data = 1.0D0/4.0D0*(ro**4-ri**4)/(1/3.0D0*(ro**3-ri**3)) call AssertEqual(& message='xv_AvrRad_xvz with r field', & answer = xv_Data, & check = xv_AvrRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) z_Data = xyz_Data(1,1,:) call AssertEqual(& message='z_AvrLonLat_xyz with r field', & answer = z_Data, & check = z_AvrLonLat_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) z_Data = xvz_Data(1,1,:) call AssertEqual(& message='z_AvrLonLat_xvz with r field', & answer = z_Data, & check = z_AvrLonLat_xvz(xvz_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_xyz with r field', & answer = x_Data, & check = x_AvrLatRad_xyz(xyz_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_xvz with r field', & answer = x_Data, & check = x_AvrLatRad_xvz(xvz_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_xyz with constant field', & answer = y_Data, & check = y_AvrLonRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) v_Data = pi/2.0D0*(ro**4-ri**4)/(2*pi/3.0D0*(ro**3-ri**3)) call AssertEqual(& message='v_AvrLonRad_xvz with constant field', & answer = v_Data, & check = v_AvrLonRad_xvz(xvz_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_xyz with constant field', & answer = Data, & check = AvrLonLatRad_xyz(xyz_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_xvz with constant field', & answer = Data, & check = AvrLonLatRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !--------- sin(phi)**2 --------- xyz_Data = sin(xyz_Lat)**2 xvz_Data = sin(xvz_Lat)**2 yz_Data = xyz_Data(1,:,:) call AssertEqual(& message='yz_AvrLon_xyz with sin^2¦Õ field', & answer = yz_Data, & check = yz_AvrLon_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) vz_Data = xvz_Data(1,:,:) call AssertEqual(& message='vz_AvrLon_xvz with sin^2¦Õ field', & answer = vz_Data, & check = vz_AvrLon_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xz_Data = 1.0D0/3.0D0 call AssertEqual(& message='xz_AvrLat_xyz with sin^2¦Õ field', & answer = xz_Data, & check = xz_AvrLat_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xz_Data = 1.0D0/3.0D0 call AssertEqual(& message='xz_AvrLat_xvz with sin^2¦Õ field', & answer = xz_Data, & check = xz_AvrLat_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Data = xyz_Data(:,:,1) call AssertEqual(& message='xy_AvrRad_xyz with sin^2¦Õ field', & answer = xy_Data, & check = xy_AvrRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xv_Data = xvz_Data(:,:,1) call AssertEqual(& message='xv_AvrRad_xvz with sin^2¦Õ field', & answer = xv_Data, & check = xv_AvrRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) z_Data = 1.0D0/3.0D0 call AssertEqual(& message='z_AvrLonLat_xyz with sin^2¦Õ field', & answer = z_Data, & check = z_AvrLonLat_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) z_Data = 1.0D0/3.0D0 call AssertEqual(& message='z_AvrLonLat_xvz with sin^2¦Õ field', & answer = z_Data, & check = z_AvrLonLat_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1.0D0/3.0D0 call AssertEqual(& message='x_AvrLatRad_xyz with sin^2¦Õ field', & answer = x_Data, & check = x_AvrLatRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1.0D0/3.0D0 call AssertEqual(& message='x_AvrLatRad_xvz with sin^2¦Õ field', & answer = x_Data, & check = x_AvrLatRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = xyz_Data(1,:,1) call AssertEqual(& message='y_AvrLonRad_xyz with sin^2¦Õ field', & answer = y_Data, & check = y_AvrLonRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) v_Data = xvz_Data(1,:,1) call AssertEqual(& message='v_AvrLonRad_xvz with sin^2¦Õ field', & answer = v_Data, & check = v_AvrLonRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) Data = 1.0D0/3D0 call AssertEqual(& message='AvrLonLatRad_xyz with constant field', & answer = Data, & check = AvrLonLatRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) Data = 1.0D0/3D0 call AssertEqual(& message='AvrLonLatRad_xvz with constant field', & answer = Data, & check = AvrLonLatRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(lambda)**2 xyz_Data = sin(xyz_Lon)**2 xvz_Data = sin(xvz_Lon)**2 yz_Data = 0.5D0 call AssertEqual(& message='yz_AvrLon_xyz with sin(lambda)**2', & answer = yz_Data, & check = yz_AvrLon_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) vz_Data = 0.5D0 call AssertEqual(& message='vz_AvrLon_xvz with sin(lambda)**2', & answer = vz_Data, & check = vz_AvrLon_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xz_Data = xyz_Data(:,1,:) call AssertEqual(& message='xz_AvrLat_xyz with sin(lambda)**2', & answer = xz_Data, & check = xz_AvrLat_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='xz_AvrLat_xvz with sin(lambda)**2', & answer = xz_Data, & check = xz_AvrLat_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xy_Data = xyz_Data(:,:,1) call AssertEqual(& message='xy_AvrRad_xyz with sin(lambda)**2', & answer = xy_Data, & check = xy_AvrRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) xv_Data = xvz_Data(:,:,1) call AssertEqual(& message='xv_AvrRad_xvz with sin(lambda)**2', & answer = xv_Data, & check = xv_AvrRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) z_Data = 0.5D0 call AssertEqual(& message='z_AvrLonLat_xyz with sin(lambda)**2', & answer = z_Data, & check = z_AvrLonLat_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='z_AvrLonLat_xvz with sin(lambda)**2', & answer = z_Data, & check = z_AvrLonLat_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = xyz_Data(:,1,1) call AssertEqual(& message='x_AvrLatRad_xyz with sin(lambda)**2', & answer = x_Data, & check = x_AvrLatRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='x_AvrLatRad_xvz with sin(lambda)**2', & answer = x_Data, & check = x_AvrLatRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = 0.5D0 call AssertEqual(& message='y_AvrLonRad_xyz with sin(lambda)**2', & answer = y_Data, & check = y_AvrLonRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) v_Data = 0.5D0 call AssertEqual(& message='v_AvrLonRad_xvz with sin(lambda)**2', & answer = v_Data, & check = v_AvrLonRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLonLatRad_xyz with sin(lambda)**2', & answer = 0.5D0, & check = AvrLonLatRad_xyz(xyz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLonLatRad_xvz with sin(lambda)**2', & answer = 0.5D0, & check = AvrLonLatRad_xvz(xvz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ Ê¿¶Ñ(xy,xv) ============================= ! Äê¿ô xy_Data = 1.0D0 xv_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 & ) v_Data = 1.0D0 call AssertEqual(& message='v_AvrLon_xv with constant field', & answer = v_Data, & check = v_AvrLon_xv(xv_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='x_AvrLat_xv with constant field', & answer = x_Data, & check = x_AvrLat_xv(xv_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 & ) call AssertEqual(& message='AvrLonLat_xv with constant field', & answer = 1.0D0, & check = AvrLonLat_xv(xv_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(lambda)**2 xy_Data = sin(xy_Lon)**2 xv_Data = sin(xv_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 & ) v_Data = 0.5D0 call AssertEqual(& message='v_AvrLon_xv with sin(lambda)**2', & answer = v_Data, & check = v_AvrLon_xv(xv_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='x_AvrLat_xv with sin(lambda)**2', & answer = x_Data, & check = x_AvrLat_xv(xv_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 & ) call AssertEqual(& message='AvrLonLat_xv with sin(lambda)**2', & answer = 0.5D0, & check = AvrLonLat_xv(xv_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(phi)**2 xy_Data = sin(xy_Lat)**2 xv_Data = sin(xv_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 & ) v_Data = xv_Data(1,:) call AssertEqual(& message='v_AvrLon_xv with sin(phi)**2', & answer = v_Data, & check = v_AvrLon_xv(xv_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='x_AvrLat_xv with sin(phi)**2', & answer = x_Data, & check = x_AvrLat_xv(xv_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 & ) call AssertEqual(& message='AvrLonLat_xv with sin(phi)**2', & answer = 1.0D0/3.0D0, & check = AvrLonLat_xv(xv_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ Ê¿¶Ñ(yz,vz) ============================= ! Äê¿ô yz_Data = 1.0D0 vz_Data = 1.0D0 z_Data = 1.0D0 call AssertEqual(& message='z_AvrLat_yz with constant field', & answer = z_Data, & check = z_AvrLat_yz(yz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='z_AvrLat_vz with constant field', & answer = z_Data, & check = z_AvrLat_vz(vz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = 1.0D0 call AssertEqual(& message='y_AvrRad_yz with constant field', & answer = y_Data, & check = y_AvrRad_yz(yz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) v_Data = 1.0D0 call AssertEqual(& message='v_AvrRad_vz with constant field', & answer = v_Data, & check = v_AvrRad_vz(vz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLatRad_yz with constant field', & answer = 1.0D0, & check = AvrLatRad_yz(yz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLatRad_vz with constant field', & answer = 1.0D0, & check = AvrLatRad_vz(vz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! r^2 yz_Data = xyz_Rad(0,:,:)**2 vz_Data = xvz_Rad(0,:,:)**2 z_Data = yz_Data(1,:) call AssertEqual(& message='z_AvrLat_yz with r^2', & answer = z_Data, & check = z_AvrLat_yz(yz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='z_AvrLat_vz with r^2', & answer = z_Data, & check = z_AvrLat_vz(vz_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_yz with r^2', & answer = y_Data, & check = y_AvrRad_yz(yz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) v_Data = 3.0D0/5.0D0*(ro**5-ri**5)/(ro**3-ri**3) call AssertEqual(& message='v_AvrRad_vz with r^2', & answer = v_Data, & check = v_AvrRad_vz(vz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLatRad_yz with r^2', & answer = 3.0D0/5.0D0*(ro**5-ri**5)/(ro**3-ri**3), & check = AvrLatRad_yz(yz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLatRad_vz with r^2', & answer = 3.0D0/5.0D0*(ro**5-ri**5)/(ro**3-ri**3), & check = AvrLatRad_vz(vz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(phi)**2 yz_Data = sin(xyz_Lat(0,:,:))**2 vz_Data = sin(xvz_Lat(0,:,:))**2 z_Data = 1.0D0/3.0D0 call AssertEqual(& message='z_AvrLat_yz with sin(phi)**2', & answer = z_Data, & check = z_AvrLat_yz(yz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='z_AvrLat_vz with sin(phi)**2', & answer = z_Data, & check = z_AvrLat_vz(vz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) y_Data = yz_Data(:,1) call AssertEqual(& message='y_AvrRad_yz with sin(phi)**2', & answer = y_Data, & check = y_AvrRad_yz(yz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) v_Data = vz_Data(:,1) call AssertEqual(& message='v_AvrRad_vz with sin(phi)**2', & answer = v_Data, & check = v_AvrRad_vz(vz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLatRad_yz with sin(phi)**2', & answer = 1.0D0/3.0D0, & check = AvrLatRad_yz(yz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLatRad_vz with sin(phi)**2', & answer = 1.0D0/3.0D0, & check = AvrLatRad_vz(vz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ Ê¿¶Ñ(xz) ============================= ! Äê¿ô xz_Data = 1.0D0 z_Data = 1.0D0 call AssertEqual(& message='z_AvrLon_xz with constant field', & answer = z_Data, & check = z_AvrLon_xz(xz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = 1.0D0 call AssertEqual(& message='x_AvrRad_xz with constant field', & answer = x_Data, & check = x_AvrRad_xz(xz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLonRad_xz with constant field', & answer = 1.0D0, & check = AvrLonRad_xz(xz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(lambda)**2 xz_Data = sin(xyz_Lon(:,1,:))**2 z_Data = 0.5D0 call AssertEqual(& message='z_AvrLon_xz with sin(lambda)**2', & answer = z_Data, & check = z_AvrLon_xz(xz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) x_Data = xz_Data(:,1) call AssertEqual(& message='x_AvrRad_xz with sin(lambda)**2', & answer = x_Data, & check = x_AvrRad_xz(xz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLonRad_xz with sin(lambda)**2', & answer = 0.5D0, & check = AvrLonRad_xz(xz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! r^2 xz_Data = spread(z_Rad**2,1,im) z_Data = z_Rad**2 call AssertEqual(& message='z_AvrLon_xz with r^2', & answer = z_Data, & check = z_AvrLon_xz(xz_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_xz with r^2', & answer = x_Data, & check = x_AvrRad_xz(xz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call AssertEqual(& message='AvrLonRad_xz with r^2', & answer = 3.0D0/5.0D0*(ro**5-ri**5)/(ro**3-ri**3), & check = AvrLonRad_xz(xz_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ Ê¿¶Ñ(x) ============================= ! Äê¿ô 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 & ) !============================ Ê¿¶Ñ(y,v) ============================= ! Äê¿ô y_Data = 1.0D0 v_Data = 1.0D0 xz_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 & ) call AssertEqual(& message='AvrLat_v with constant field', & answer = 1.0D0, & check = AvrLat_v(v_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! sin(phi)**2 y_Data = sin(y_Lat)**2 v_Data = sin(v_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 & ) call AssertEqual(& message='AvrLat_v with sin(phi)**2', & answer = 1.0D0/3.0D0, & check = AvrLat_v(v_Data), & significant_digits = check_digits, ignore_digits = ignore & ) !============================ Ê¿¶Ñ(r) ============================= ! Äê¿ô z_Data = 1.0D0 call AssertEqual(& message='AvrRad_r with constant field', & answer = 1.0D0, & check = AvrRad_z(z_Data), & significant_digits = check_digits, ignore_digits = ignore & ) ! r^2 z_Data = z_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_z(z_Data), & significant_digits = check_digits, ignore_digits = ignore & ) call MessageNotify('M','wt_mpi_module_integral_test', & 'wt_mpi_module integration/averaging function tests succeeded!') !------ MPI¤Î½ªÎ» ------ call MPI_FINALIZE(IERR) end program wt_mpi_module_integral_test