!---------------------------------------------------------------------- ! Copyright (c) 2019 Shin-ichi Takehiro. All rights reserved. !---------------------------------------------------------------------- ! !表題 w_deriv_mpi_module テストプログラム :: 微分関数のテスト ! !履歴 2019/03/19 竹広真一 ! 2020/11/09 竹広真一 セクター計算テスト ! program w_mpi_module_deriv_mint_test use dc_message, only : MessageNotify use dc_test, only : AssertEqual use w_mpi_module_mint use mpi implicit none !!$ integer, parameter :: im=64, jm=32, nm=21, mint=1 integer, parameter :: im=32, jm=32, nm=21, mint=2 real(8), allocatable :: xv_data1(:,:) ! 元の関数 real(8), allocatable :: xv_data2(:,:) ! 元の関数 real(8), allocatable :: xv_ddata(:,:) ! 微分の正解 real(8), allocatable :: xv_mu(:,:) ! μ=sinφ ! 判定誤差設定 integer, parameter :: check_digits = 10 integer, parameter :: ignore = -11 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) call MessageNotify('M','w_mpi_module_deriv_mint_test', & 'w_deriv_mpi_module_mint function tests') call w_mpi_Initial( nm, im, jm, mint=mint ) !------------ 変数割付け ------------- allocate(xv_data1(0:im-1,jc)) allocate(xv_data2(0:im-1,jc)) allocate(xv_ddata(0:im-1,jc)) allocate(xv_mu(0:im-1,jc)) !========== 微分計算 (lon,lat座標系用) のテスト(領域分割) ========== !---- Y_1^0 のテスト ---- xv_data1 = sin(xv_Lat) ! Y_1^0 xv_ddata = -2*sin(xv_Lat) ! w_Lapla_w call AssertEqual(& message='Y_1^0 test of w_Lapla_w', & answer = xv_ddata, & check = xv_w(w_Lapla_w(w_xv(xv_data1))), & significant_digits = check_digits, ignore_digits = ignore & ) xv_ddata = -1.0/2.0*sin(xv_Lat) ! w_LaplaInv_w call AssertEqual(& message='Y_1^0 test of w_LaplaInv_w', & answer = xv_ddata, & check = xv_w(w_LaplaInv_w(w_xv(xv_data1))), & significant_digits = check_digits, ignore_digits = ignore & ) xv_ddata = 0.0D0 ! w_DLon_w call AssertEqual(& message='Y_1^0 test of w_DLon_w', & answer = xv_ddata, & check = xv_w(w_DLon_w(w_xv(xv_data1))), & significant_digits = check_digits, ignore_digits = ignore & ) xv_ddata = cos(xv_Lat)**2 ! w_cosLatDLat_w call AssertEqual(& message='Y_1^0 test of w_cosLatDLat_w', & answer = xv_ddata, & check = xv_w(w_cosLatDLat_w(w_xv(xv_data1))), & significant_digits = check_digits, ignore_digits = ignore & ) xv_ddata = 0.0D0 ! xv_GradLon_w call AssertEqual(& message='Y_1^0 test of xv_GradLon_w', & answer = xv_ddata, & check = xv_GradLon_w(w_xv(xv_data1)), & significant_digits = check_digits, ignore_digits = ignore & ) xv_ddata = cos(xv_Lat) ! xv_GradLat_w call AssertEqual(& message='Y_1^0 test of xv_GradLat_w', & answer = xv_ddata, & check = xv_GradLat_w(w_xv(xv_data1)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y_1^0 cosφ のテスト ---- xv_data1 = sin(xv_Lat)*cos(xv_Lat) ! Y_1^0 cosφ xv_ddata = 0.0D0 ! w_DivLon_xv call AssertEqual(& message='Y_1^0 cosφ test of xv_DivLon_w', & answer = xv_ddata, & check = xv_w(w_DivLon_xv(xv_data1)), & significant_digits = check_digits, ignore_digits = ignore & ) xv_ddata = cos(xv_Lat)**2 - 2*sin(xv_Lat)**2 ! w_DivLat_w call AssertEqual(& message='Y_1^0 cosφ test of xv_DivLat_w', & answer = xv_ddata, & check = xv_w(w_DivLat_xv(xv_data1)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Jacobian のテスト ---- xv_data1 = sin(xv_Lat) ! Y_1^0 xv_data2 = cos(xv_Lat)**2*sin(2*xv_Lon) ! Y_2^-2 xv_ddata = 0.0 call AssertEqual(& message='Y_1^0 test of w_JacobianMPI_w_w', & answer = xv_ddata, & check = xv_w(w_JacobianMPI_w_w(w_xv(xv_data1),w_xv(xv_data1))), & significant_digits = check_digits, ignore_digits = ignore & ) xv_ddata = - cos(xv_Lat) * cos(xv_Lat)*2*cos(2*xv_Lon) call AssertEqual(& message='Y_1^0 and Y_2^-2 test of w_JacobianMPI_w_w', & answer = xv_ddata, & check = xv_w(w_JacobianMPI_w_w(w_xv(xv_data1),w_xv(xv_data2))), & significant_digits = check_digits, ignore_digits = ignore & ) xv_ddata = cos(xv_Lat) * cos(xv_Lat)*2*cos(2*xv_Lon) call AssertEqual(& message='Y_2^-2 and Y_1^0 test of w_JacobianMPI_w_w', & answer = xv_ddata, & check = xv_w(w_JacobianMPI_w_w(w_xv(xv_data2),w_xv(xv_data1))), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y_2^2 のテスト ---- xv_data1 = cos(xv_Lat)**2*cos(2*xv_Lon) ! Y_2^2 xv_ddata = -6*cos(xv_Lat)**2*cos(2*xv_Lon) ! w_Lapla_w call AssertEqual(& message='Y_2^2 test of w_Lapla_w', & answer = xv_ddata, & check = xv_w(w_Lapla_w(w_xv(xv_data1))), & significant_digits = check_digits, ignore_digits = ignore & ) xv_ddata = -1.0D0/6.0D0*cos(xv_Lat)**2*cos(2*xv_Lon) ! w_LaplaInv_w call AssertEqual(& message='Y_2^2 test of w_LaplaInv_w', & answer = xv_ddata, & check = xv_w(w_LaplaInv_w(w_xv(xv_data1))), & significant_digits = check_digits, ignore_digits = ignore & ) xv_ddata = cos(xv_Lat)**2*(-2)*sin(2*xv_Lon) ! w_DLon_w call AssertEqual(& message='Y_2^2 test of w_DLon_w', & answer = xv_ddata, & check = xv_w(w_DLon_w(w_xv(xv_data1))), & significant_digits = check_digits, ignore_digits = ignore & ) xv_ddata = cos(xv_Lat)*(-2)*sin(2*xv_Lon) ! xv_GradLon_w call AssertEqual(& message='Y_2^2 test of xv_GradLon_w', & answer = xv_ddata, & check = xv_GradLon_w(w_xv(xv_data1)), & significant_digits = check_digits, ignore_digits = ignore & ) xv_ddata = (-2)*cos(xv_Lat)*sin(xv_Lat)*cos(2*xv_Lon) ! xv_GradLat_w call AssertEqual(& message='Y_2^2 test of xv_GradLat_w', & answer = xv_ddata, & check = xv_GradLat_w(w_xv(xv_data1)), & significant_digits = check_digits, ignore_digits = ignore & ) !---- Y_2^2 cosφ のテスト ---- xv_data1 = cos(xv_Lat)**3*cos(2*xv_Lon) ! Y_2^2 cosφ xv_ddata = cos(xv_Lat)**2*(-2)*sin(2*xv_Lon) ! w_DivLon_xv call AssertEqual(& message='Y_2^2 cosφ test of xv_DivLon_w', & answer = xv_ddata, & check = xv_w(w_DivLon_xv(xv_data1)), & significant_digits = check_digits, ignore_digits = ignore & ) xv_ddata = (-4)*cos(xv_Lat)**2*sin(xv_Lat)*cos(2*xv_Lon) ! w_DivLat_w call AssertEqual(& message='Y_2^2 cosφ test of xv_DivLat_w', & answer = xv_ddata, & check = xv_w(w_DivLat_xv(xv_data1)), & significant_digits = check_digits, ignore_digits = ignore & ) !!$ !---- Jacobian のテスト ---- !!$ xv_data1 = sin(xv_Lat) ! Y_2^2 !!$ xv_data2 = sin(xv_Lat) ! Y_2^2 !!$ !!$ xv_ddata = 0.0 !!$ call AssertEqual(& !!$ message='Y_2^2 test of w_JacobianMPI_w_w', & !!$ answer = xv_ddata, & !!$ check = xv_w(w_JacobianMPI_w_w(w_xv(xv_data1),w_xv(xv_data1))), & !!$ significant_digits = check_digits, ignore_digits = ignore & !!$ ) !!$ !============== 微分計算 (λ,μ座標系用) のテスト ============== xv_mu = sin(xv_Lat) !----- Y_2^0 のテスト ----- xv_data1 = 3*xv_mu**2-1 ! Y_2^0 xv_ddata = 0.0 call AssertEqual(& message='Y_2^0 test of xv_GradLambda_w', & answer = xv_ddata, & check = xv_GradLambda_w(w_xv(xv_data1)), & significant_digits = check_digits, ignore_digits = ignore & ) xv_ddata = 6*xv_mu*(1-xv_mu**2) call AssertEqual(& message='Y_2^0 test of xv_GradMu_w', & answer = xv_ddata, & check = xv_GradMu_w(w_xv(xv_data1)), & significant_digits = check_digits, ignore_digits = ignore & ) !----- Y_2^0 cosφ のテスト ----- xv_data1 = (3*xv_mu**2-1)*(1-xv_mu**2) ! Y_2^0 (1-μ^2) xv_ddata = 0.0 call AssertEqual(& message='Y_2^0 (1-μ^2) test of xv_DivLambda_w', & answer = xv_ddata, & check = xv_w(w_DivLambda_xv(xv_data1)), & significant_digits = check_digits, ignore_digits = ignore & ) xv_ddata = (2-3*xv_mu**2)*4*xv_mu call AssertEqual(& message='Y_2^0 (1-μ^2) test of xv_DivMu_w', & answer = xv_ddata, & check = xv_w(w_DivMu_xv(xv_data1)), & significant_digits = check_digits, ignore_digits = ignore & ) call MessageNotify('M','w_mpi_module_deriv_mint_test', & 'w_deriv_module_mint function tests succeeded!') !------ MPIの終了 ------ call MPI_FINALIZE(IERR) end program w_mpi_module_deriv_mint_test