Class mass_fixer
In: util/mass_fixer.f90

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Mass fixer

Note that Japanese and English are described in parallel.

è³����è£�æ­£ã���¾ã��.

Fix masses

Procedures List

MassFixer :������
———- :—————
MassFixer :Fix masses

Methods

MassFixer   MassFixerColumn   MassFixerInit   MassFixerLayer   MassFixerR95   MassFixerR95Column   MassFixerR95Layer   MassFixerWO94   mass_fixer_inited   module_name   version  

Included Modules

gridset composition dc_types dc_message constants0 constants axesset intavr_operate timeset namelist_util dc_iounit dc_string

Public Instance methods

MassFixer( xyr_Press, xyzf_QMix, [xyr_PressRef], [xyzf_QMixRef], [xyzf_DQMixDt] )
Subroutine :
xyr_Press(0:imax-1, 1:jmax, 0:kmax) :real(DP), intent(in )
: $ hat{p} $ . æ°��� (���´æ�°ã������). Air pressure (half level)
xyzf_QMix(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(inout)
: $ q $ . ��. Specific humidity
xyr_PressRef(0:imax-1, 1:jmax, 0:kmax) :real(DP), intent(in ), optional
: $ hat{p} $ . æ°��� (���´æ�°ã������). Air pressure (half level)
xyzf_QMixRef(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(in ), optional
: $ q Delta p / g $ . ç©����¤ã���������層å����������³ª��. Reference specific mass of constituent in a layer
xyzf_DQMixDt(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(out ), optional
: $ DP{q}{t} $ . æ¯�湿è�æ­£ç�. Specific humidity correction

������³ª���è£�æ­£ã���¾ã��. xyzf_QMixRef ��ä¸����������´å������, ����ç©����¤ã�� xyzf_QMixRef �������� �����������������æ­£ã���¾ã��. xyzf_QMixRef ��ä¸������������´å������, ����ç©����¤ã��è£�æ­£å���������� �����������������æ­£ã���¾ã��. xyzf_DQMixDt ���� xyz_QMix ��������è¿����¾ã��.

This routine fixes masses of constituents. If xyzf_QMixRef is given, the mass is fixed to match its global integrated value is the same as that of xyzf_QMixRef. If xyzf_QMixRef is not given, the mass is fixed to match its global integrated value is the same as that of pre-fixed value. Variation of xyzf_QMix is returned to xyz_DQMixDt.

[Source]

  subroutine MassFixer( xyr_Press, xyzf_QMix, xyr_PressRef, xyzf_QMixRef, xyzf_DQMixDt )
    !
    ! ������³ª���è£�æ­£ã���¾ã��. 
    ! *xyzf_QMixRef* ��ä¸����������´å������, ����ç©����¤ã�� *xyzf_QMixRef* ��������
    ! �����������������æ­£ã���¾ã��. 
    ! *xyzf_QMixRef* ��ä¸������������´å������, ����ç©����¤ã��è£�æ­£å����������
    ! �����������������æ­£ã���¾ã��. 
    ! *xyzf_DQMixDt* ���� *xyz_QMix* ��������è¿����¾ã��. 
    !
    ! This routine fixes masses of constituents.
    ! If *xyzf_QMixRef* is given, the mass is fixed to match its global 
    ! integrated value is the same as that of *xyzf_QMixRef*.
    ! If *xyzf_QMixRef* is not given, the mass is fixed to match its global 
    ! integrated value is the same as that of pre-fixed value. 
    ! Variation of *xyzf_QMix* is returned to *xyz_DQMixDt*. 
    !

    ! �¢ã�¸ã�¥ã�¼ã����� ; USE statements
    !

    ! �����»æ�°å­¦å®��°è¨­å®�
    ! Physical and mathematical constants settings
    !
    use constants0, only: PI                    ! $ \pi $.
                              ! �����. Circular constant

    ! ����å®��°è¨­å®�
    ! Physical constants settings
    !
    use constants, only: Grav ! $ g $ [m s-2].
                              ! ���������.
                              ! Gravitational acceleration

    ! 座æ����¼ã�¿è¨­å®�
    ! Axes data settings
    !
    use axesset, only: x_Lon, y_Lat, z_Sigma

    ! ç©�����¹³������ä½�
    ! Operation for integral and average
    !
    use intavr_operate, only: IntLonLat_xy

    ! ���»ç���
    ! Time control
    !
    use timeset, only: DelTime, TimesetClockStart, TimesetClockStop

    ! çµ������¢ã���������¨­å®�
    ! Settings of array for atmospheric composition
    !
    use composition, only: CompositionInqFlagMassFix


    ! 宣�� ; Declaration statements
    !
    implicit none
    real(DP), intent(in   )          :: xyr_Press   (0:imax-1, 1:jmax, 0:kmax)
                              ! $ \hat{p} $ . æ°��� (���´æ�°ã������). 
                              ! Air pressure (half level)
    real(DP), intent(inout)          :: xyzf_QMix   (0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ q $ .     ��. Specific humidity
    real(DP), intent(in   ), optional:: xyr_PressRef(0:imax-1, 1:jmax, 0:kmax)
                              ! $ \hat{p} $ . æ°��� (���´æ�°ã������). 
                              ! Air pressure (half level)
    real(DP), intent(in   ), optional:: xyzf_QMixRef(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ q \Delta p / g $ . ç©����¤ã���������層å����������³ª��. 
                              ! Reference specific mass of constituent in a layer
    real(DP), intent(out  ), optional:: xyzf_DQMixDt(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ \DP{q}{t} $ .  æ¯�湿è�æ­£ç�. 
                              ! Specific humidity correction

    ! �業��
    ! Work variables
    !
    real(DP):: xyz_QMixBefCor    (0:imax-1, 1:jmax, 1:kmax)
                              ! ä¿�­£�����æ¹�.
                              ! Specific humidity before correction. 
    real(DP):: xyz_DelMass       (0:imax-1, 1:jmax, 1:kmax)
                              ! $ \Delta p / g $
                              ! 
    real(DP):: xyz_DelMassRef    (0:imax-1, 1:jmax, 1:kmax)
                              ! $ \Delta p / g $ of reference
                              ! 
    real(DP):: xyz_DelConsMass   (0:imax-1, 1:jmax, 1:kmax)
                              ! ��層å����������³ª��.
                              ! Mass of constituents in a layer.
    real(DP):: xyz_DelConsMassRef(0:imax-1, 1:jmax, 1:kmax)
                              ! ç©����¤ã�����������層å����������³ª��.
                              ! Reference mass of constituents.
    real(DP):: xy_ConsMass          (0:imax-1, 1:jmax)
                              ! ���������������.
                              ! Mass of constituents in a layer.
    real(DP):: xy_ConsMassRef       (0:imax-1, 1:jmax)
                              ! ç©����¤ã���������������������è³���.
                              ! Reference mass of constituents in a layer.
    real(DP):: ConsMass
                              ! ��������������³ª��
                              ! Total mass of constituents
    real(DP):: ConsMassRef
                              ! ç©����¤ã�����������������������³ª��
                              ! Reference total mass of constituents.
                              !

    integer:: i               ! çµ�åº��¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in longitudinal direction
    integer:: j               ! ç·�º¦�¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in latitudinal direction
    integer:: k               ! ���´æ�¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in vertical direction
    integer:: n               ! çµ����¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in dimension of constituents

    ! ���� ; Executable statement
    !

    ! ������確è�
    ! Initialization check
    !
    if ( .not. mass_fixer_inited ) then
      call MessageNotify( 'E', module_name, 'This module has not been initialized.' )
    end if


    ! �����������
    ! Start measurement of computation time
    !
    call TimesetClockStart( module_name )


    ! Check arguments
    !
    if ( present( xyr_PressRef ) .or. present( xyzf_QMixRef ) ) then
      if ( .not. ( present( xyr_PressRef ) .and. present( xyzf_QMixRef ) ) ) then
        call MessageNotify( 'E', module_name, 'If xyr_PressRef or xyzf_QMixRef is given, both have to be given.' )
      end if
    end if


    ! $ \Delta p / g $ ����
    ! Calculate $ \Delta p / g $
    !
    do k = 1, kmax
      xyz_DelMass(:,:,k) = ( xyr_Press(:,:,k-1) - xyr_Press(:,:,k) ) / Grav
    end do

    if ( present( xyr_PressRef ) ) then
      do k = 1, kmax
        xyz_DelMassRef(:,:,k) = ( xyr_PressRef(:,:,k-1) - xyr_PressRef(:,:,k) ) / Grav
      end do
    end if

    do n = 1, ncmax

      if ( CompositionInqFlagMassFix( n ) ) then

        ! Calculate mass of constituents
        !
        xyz_DelConsMass = xyzf_QMix(:,:,:,n) * xyz_DelMass

        if ( present( xyzf_QMixRef ) ) then
          xyz_DelConsMassRef = xyzf_QMixRef(:,:,:,n) * xyz_DelMassRef
        else
          xyz_DelConsMassRef = xyz_DelConsMass
        end if
        if ( present( xyzf_DQMixDt ) ) then
          xyz_QMixBefCor = xyzf_QMix(:,:,:,n)
        end if


        ! è²���³ª����´ä���±¤��³ª��§å���������.
        ! Negative mass is removed by filling it with the mass in a layer just below.
        !
        do k = kmax, 2, -1
          do j = 1, jmax
            do i = 0, imax-1
              if ( xyz_DelConsMass(i,j,k) < 0.0_DP ) then
                xyz_DelConsMass(i,j,k-1) = xyz_DelConsMass(i,j,k-1) + xyz_DelConsMass(i,j,k)
                xyz_DelConsMass(i,j,k  ) = 0.0_DP
              end if
            end do
          end do
        end do

        k = 1
        do j = 1, jmax
          do i = 0, imax-1
            if ( xyz_DelConsMass(i,j,k) < 0.0_DP ) then
              xyz_DelConsMass(i,j,k) = 0.0_DP
            end if
          end do
        end do


        ! �����§ã���æ­�
        ! Correction in globe
        !   è³��ü¼�å­��������������³ª���æ¸�å°�������.
        !   Total mass is decreased to conserve mass. 
        !
        xy_ConsMass    = 0.0_DP
        xy_ConsMassRef = 0.0_DP
        do k = kmax, 1, -1
          xy_ConsMass    = xy_ConsMass    + xyz_DelConsMass   (:,:,k)
          xy_ConsMassRef = xy_ConsMassRef + xyz_DelConsMassRef(:,:,k)
        end do
        ConsMass    = IntLonLat_xy( xy_ConsMass    )
        ConsMassRef = IntLonLat_xy( xy_ConsMassRef )


        if ( ConsMassRef < 0.0_DP ) then 
          call MessageNotify( 'M', module_name, 'ConsMassRef is negative. ' // 'ConsMassRef is reset to zero, n = %d, ConsMassRef = %f.', i = (/ n /), d = (/ ConsMassRef /) )
          ConsMassRef = 0.0_DP
!!$        call MessageNotify( 'E', module_name, 'ConsMassRef is negative, n = %d.', i = (/ n /) )
        end if
        if ( ConsMass /= 0.0_DP ) then 
          xyz_DelConsMass = ConsMassRef / ConsMass * xyz_DelConsMass
        else
          xyz_DelConsMass = 0.0_DP
        end if

        xyzf_QMix(:,:,:,n) = xyz_DelConsMass / xyz_DelMass

        ! �湿�������
        ! Calculate specific humidity variance
        !
        if ( present( xyzf_DQMixDt ) ) then
          xyzf_DQMixDt(:,:,:,n) = ( xyzf_QMix(:,:,:,n) - xyz_QMixBefCor ) / ( 2.0_DP * DelTime )
        end if

      else

        if ( present( xyzf_DQMixDt ) ) then
          xyz_QMixBefCor = xyzf_QMix(:,:,:,n)
        end if

        xyzf_QMix(:,:,:,n) = max( xyzf_QMix(:,:,:,n), 0.0_DP )

        ! �湿�������
        ! Calculate specific humidity variance
        !
        if ( present( xyzf_DQMixDt ) ) then
          xyzf_DQMixDt(:,:,:,n) = ( xyzf_QMix(:,:,:,n) - xyz_QMixBefCor ) / ( 2.0_DP * DelTime )
        end if

      end if

    end do

    do n = 1, ncmax
      if ( CompositionInqFlagMassFix( n ) ) then
        do k = 1, kmax
          do j = 1, jmax
            do i = 0, imax-1
              if ( xyzf_QMix(i,j,k,n) < 0.0_DP ) then
                call MessageNotify( 'M', module_name, 'Negative at (%f,%f,%f,%d), Val = %f.', d = (/ x_Lon(i)*180.0_DP/PI, y_Lat(j)*180.0_DP/PI, z_Sigma(k), xyzf_QMix(i,j,k,n) /), i = (/ n /) )
              end if
            end do
          end do
        end do
      end if
    end do


    ! ��������������
    ! Pause measurement of computation time
    !
    call TimesetClockStop( module_name )

  end subroutine MassFixer
MassFixerColumn( xyr_Press, xyzf_QMix, [xyr_PressRef], [xyzf_QMixRef], [xyzf_DQMixDt] )
Subroutine :
xyr_Press(0:imax-1, 1:jmax, 0:kmax) :real(DP), intent(in )
: $ hat{p} $ . æ°��� (���´æ�°ã������). Air pressure (half level)
xyzf_QMix(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(inout)
: $ q $ . ��. Specific humidity
xyr_PressRef(0:imax-1, 1:jmax, 0:kmax) :real(DP), intent(in ), optional
: $ hat{p} $ . æ°��� (���´æ�°ã������). Air pressure (half level)
xyzf_QMixRef(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(in ), optional
: $ q Delta p / g $ . ç©����¤ã���������層å����������³ª��. Reference specific mass of constituent in a layer
xyzf_DQMixDt(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(out ), optional
: $ DP{q}{t} $ . æ¯�湿è�æ­£ç�. Specific humidity correction

���´ã���������§æ������³ª���è£�æ­£ã���¾ã��. xyzf_QMixRef ��ä¸����������´å������, ������ç©����¤ã�� xyzf_QMixRef �� �����������������������æ­£ã���¾ã��. xyzf_QMixRef ��ä¸������������´å������, ����ç©����¤ã��è£�æ­£å���������� �����������������æ­£ã���¾ã��. xyzf_DQMixDt ���� xyz_QMix ��������è¿����¾ã��.

This routine fixes masses of constituents in each vertical column. If xyzf_QMixRef is given, the mass is fixed to match its column integrated value is the same as that of xyzf_QMixRef. If xyzf_QMixRef is not given, the mass is fixed to match its column integrated value is the same as that of pre-fixed value. Variation of xyzf_QMix is returned to xyz_DQMixDt.

[Source]

  subroutine MassFixerColumn( xyr_Press, xyzf_QMix, xyr_PressRef, xyzf_QMixRef, xyzf_DQMixDt )
    !
    ! ���´ã���������§æ������³ª���è£�æ­£ã���¾ã��. 
    ! *xyzf_QMixRef* ��ä¸����������´å������, ������ç©����¤ã�� *xyzf_QMixRef* ��
    ! �����������������������æ­£ã���¾ã��. 
    ! *xyzf_QMixRef* ��ä¸������������´å������, ����ç©����¤ã��è£�æ­£å����������
    ! �����������������æ­£ã���¾ã��. 
    ! *xyzf_DQMixDt* ���� *xyz_QMix* ��������è¿����¾ã��. 
    !
    ! This routine fixes masses of constituents in each vertical column.
    ! If *xyzf_QMixRef* is given, the mass is fixed to match its column 
    ! integrated value is the same as that of *xyzf_QMixRef*.
    ! If *xyzf_QMixRef* is not given, the mass is fixed to match its column 
    ! integrated value is the same as that of pre-fixed value. 
    ! Variation of *xyzf_QMix* is returned to *xyz_DQMixDt*. 
    !

    ! �¢ã�¸ã�¥ã�¼ã����� ; USE statements
    !

    ! �����»æ�°å­¦å®��°è¨­å®�
    ! Physical and mathematical constants settings
    !
    use constants0, only: PI                    ! $ \pi $.
                              ! �����. Circular constant

    ! ����å®��°è¨­å®�
    ! Physical constants settings
    !
    use constants, only: Grav ! $ g $ [m s-2].
                              ! ���������.
                              ! Gravitational acceleration

    ! 座æ����¼ã�¿è¨­å®�
    ! Axes data settings
    !
    use axesset, only: x_Lon, y_Lat, z_Sigma

    ! ���»ç���
    ! Time control
    !
    use timeset, only: DelTime, TimesetClockStart, TimesetClockStop

    ! çµ������¢ã���������¨­å®�
    ! Settings of array for atmospheric composition
    !
    use composition, only: CompositionInqFlagMassFix


    ! 宣�� ; Declaration statements
    !
    implicit none
    real(DP), intent(in   )          :: xyr_Press   (0:imax-1, 1:jmax, 0:kmax)
                              ! $ \hat{p} $ . æ°��� (���´æ�°ã������). 
                              ! Air pressure (half level)
    real(DP), intent(inout)          :: xyzf_QMix   (0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ q $ .     ��. Specific humidity
    real(DP), intent(in   ), optional:: xyr_PressRef(0:imax-1, 1:jmax, 0:kmax)
                              ! $ \hat{p} $ . æ°��� (���´æ�°ã������). 
                              ! Air pressure (half level)
    real(DP), intent(in   ), optional:: xyzf_QMixRef(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ q \Delta p / g $ . ç©����¤ã���������層å����������³ª��. 
                              ! Reference specific mass of constituent in a layer
    real(DP), intent(out  ), optional:: xyzf_DQMixDt(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ \DP{q}{t} $ .  æ¯�湿è�æ­£ç�. 
                              ! Specific humidity correction

    ! �業��
    ! Work variables
    !
    real(DP):: xyz_QMixBefCor    (0:imax-1, 1:jmax, 1:kmax)
                              ! ä¿�­£�����æ¹�.
                              ! Specific humidity before correction. 
    real(DP):: xyz_DelMass       (0:imax-1, 1:jmax, 1:kmax)
                              ! $ \Delta p / g $
                              ! 
    real(DP):: xyz_DelMassRef    (0:imax-1, 1:jmax, 1:kmax)
                              ! $ \Delta p / g $ of reference
                              ! 
    real(DP):: xyz_DelConsMass   (0:imax-1, 1:jmax, 1:kmax)
                              ! ��層å����������³ª��.
                              ! Mass of constituents in a layer.
    real(DP):: xyz_DelConsMassRef(0:imax-1, 1:jmax, 1:kmax)
                              ! ç©����¤ã�����������層å����������³ª��.
                              ! Reference mass of constituents.
    real(DP):: xy_ConsMass          (0:imax-1, 1:jmax)
                              ! ���������������.
                              ! Mass of constituents in a layer.
    real(DP):: xy_ConsMassRef       (0:imax-1, 1:jmax)
                              ! ç©����¤ã���������������������è³���.
                              ! Reference mass of constituents in a layer.

    integer:: i               ! çµ�åº��¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in longitudinal direction
    integer:: j               ! ç·�º¦�¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in latitudinal direction
    integer:: k               ! ���´æ�¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in vertical direction
    integer:: n               ! çµ����¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in dimension of constituents

    ! ���� ; Executable statement
    !

    ! ������確è�
    ! Initialization check
    !
    if ( .not. mass_fixer_inited ) then
      call MessageNotify( 'E', module_name, 'This module has not been initialized.' )
    end if


    ! �����������
    ! Start measurement of computation time
    !
    call TimesetClockStart( module_name )


    ! Check arguments
    !
    if ( present( xyr_PressRef ) .or. present( xyzf_QMixRef ) ) then
      if ( .not. ( present( xyr_PressRef ) .and. present( xyzf_QMixRef ) ) ) then
        call MessageNotify( 'E', module_name, 'If xyr_PressRef or xyzf_QMixRef is given, both have to be given.' )
      end if
    end if


    ! $ \Delta p / g $ ����
    ! Calculate $ \Delta p / g $
    !
    do k = 1, kmax
      xyz_DelMass(:,:,k) = ( xyr_Press(:,:,k-1) - xyr_Press(:,:,k) ) / Grav
    end do

    if ( present( xyr_PressRef ) ) then
      do k = 1, kmax
        xyz_DelMassRef(:,:,k) = ( xyr_PressRef(:,:,k-1) - xyr_PressRef(:,:,k) ) / Grav
      end do
    end if

    do n = 1, ncmax

      if ( CompositionInqFlagMassFix( n ) ) then

        ! Calculate mass of constituents
        !
        xyz_DelConsMass = xyzf_QMix(:,:,:,n) * xyz_DelMass

        if ( present( xyzf_QMixRef ) ) then
          xyz_DelConsMassRef = xyzf_QMixRef(:,:,:,n) * xyz_DelMassRef
        else
          xyz_DelConsMassRef = xyz_DelConsMass
        end if
        if ( present( xyzf_DQMixDt ) ) then
          xyz_QMixBefCor = xyzf_QMix(:,:,:,n)
        end if


        ! è²���³ª����´ä���±¤��³ª��§å���������.
        ! Negative mass is removed by filling it with the mass in a layer just below.
        !
        do k = kmax, 2, -1
          do j = 1, jmax
            do i = 0, imax-1
              if ( xyz_DelConsMass(i,j,k) < 0.0_DP ) then
                xyz_DelConsMass(i,j,k-1) = xyz_DelConsMass(i,j,k-1) + xyz_DelConsMass(i,j,k)
                xyz_DelConsMass(i,j,k  ) = 0.0_DP
              end if
            end do
          end do
        end do

        k = 1
        do j = 1, jmax
          do i = 0, imax-1
            if ( xyz_DelConsMass(i,j,k) < 0.0_DP ) then
              xyz_DelConsMass(i,j,k) = 0.0_DP
            end if
          end do
        end do


        ! �����§ã���æ­�
        ! Correction in globe
        !   è³��ü¼�å­��������������³ª���æ¸�å°�������.
        !   Total mass is decreased to conserve mass. 
        !
        xy_ConsMass    = 0.0_DP
        xy_ConsMassRef = 0.0_DP
        do k = kmax, 1, -1
          xy_ConsMass    = xy_ConsMass    + xyz_DelConsMass   (:,:,k)
          xy_ConsMassRef = xy_ConsMassRef + xyz_DelConsMassRef(:,:,k)
        end do

        do j = 1, jmax
          do i = 0, imax-1

            if ( xy_ConsMassRef(i,j) < 0.0_DP ) then 
              call MessageNotify( 'M', module_name, 'xy_ConsMassRef(%f,%f) is negative. ' // 'The value, %f, is reset to zero, n = %d.', d = (/ x_Lon(i)*180.0_DP/PI, y_Lat(j)*180.0_DP/PI, xy_ConsMassRef(i,j) /), i = (/ n /) )
              xy_ConsMassRef(i,j) = 0.0_DP
!!$        call MessageNotify( 'E', module_name, 'ConsMassRef is negative, n = %d.', i = (/ n /) )
            end if
            if ( xy_ConsMass(i,j) /= 0.0_DP ) then 
              do k = 1, kmax
                xyz_DelConsMass(i,j,k) = xy_ConsMassRef(i,j) / xy_ConsMass(i,j) * xyz_DelConsMass(i,j,k)
              end do
            else
              do k = 1, kmax
                xyz_DelConsMass(i,j,k) = 0.0_DP
              end do
            end if

          end do
        end do

        xyzf_QMix(:,:,:,n) = xyz_DelConsMass / xyz_DelMass

        ! �湿�������
        ! Calculate specific humidity variance
        !
        if ( present( xyzf_DQMixDt ) ) then
          xyzf_DQMixDt(:,:,:,n) = xyzf_DQMixDt(:,:,:,n) + ( xyzf_QMix(:,:,:,n) - xyz_QMixBefCor ) / ( 2.0_DP * DelTime )
        end if

      else

        if ( present( xyzf_DQMixDt ) ) then
          xyz_QMixBefCor = xyzf_QMix(:,:,:,n)
        end if

        xyzf_QMix(:,:,:,n) = max( xyzf_QMix(:,:,:,n), 0.0_DP )

        ! �湿�������
        ! Calculate specific humidity variance
        !
        if ( present( xyzf_DQMixDt ) ) then
          xyzf_DQMixDt(:,:,:,n) = ( xyzf_QMix(:,:,:,n) - xyz_QMixBefCor ) / ( 2.0_DP * DelTime )
        end if

      end if

    end do

    do n = 1, ncmax
      if ( CompositionInqFlagMassFix( n ) ) then
        do k = 1, kmax
          do j = 1, jmax
            do i = 0, imax-1
              if ( xyzf_QMix(i,j,k,n) < 0.0_DP ) then
                call MessageNotify( 'M', module_name, 'Column: Negative at (%f,%f,%f,%d), Val = %f.', d = (/ x_Lon(i)*180.0_DP/PI, y_Lat(j)*180.0_DP/PI, z_Sigma(k), xyzf_QMix(i,j,k,n) /), i = (/ n /) )
              end if
            end do
          end do
        end do
      end if
    end do


    ! ��������������
    ! Pause measurement of computation time
    !
    call TimesetClockStop( module_name )

  end subroutine MassFixerColumn
MassFixerInit( )
Subroutine :

mass_fixer �¢ã�¸ã�¥ã�¼ã������������è¡����¾ã��. NAMELIST#mass_fixer_nml ����¿è¾¼�¿ã��������ç¶����§è�����¾ã��.

"mass_fixer" module is initialized. "NAMELIST#mass_fixer_nml" is loaded in this procedure.

[Source]

  subroutine MassFixerInit
    !
    ! mass_fixer �¢ã�¸ã�¥ã�¼ã������������è¡����¾ã��. 
    ! NAMELIST#mass_fixer_nml ����¿è¾¼�¿ã��������ç¶����§è�����¾ã��. 
    !
    ! "mass_fixer" module is initialized. 
    ! "NAMELIST#mass_fixer_nml" is loaded in this procedure. 
    !

    ! �¢ã�¸ã�¥ã�¼ã����� ; USE statements
    !

    ! NAMELIST ���¡ã�¤ã���¥å�����¢ã�������¼ã���£ã������
    ! Utilities for NAMELIST file input
    !
    use namelist_util, only: namelist_filename, NmlutilMsg

    ! ���¡ã�¤ã���¥å�ºå��è£���
    ! File I/O support
    !
    use dc_iounit, only: FileOpen

    ! ç¨��¥å�������¡ã��
    ! Kind type parameter
    !
    use dc_types, only: STDOUT ! æ¨�æº��ºå�����ç½����. Unit number of standard output

    ! ��������
    ! Character handling
    !
    use dc_string, only: StoA

    ! 宣�� ; Declaration statements
    !
    implicit none

!!$    integer:: unit_nml        ! NAMELIST ���¡ã�¤ã�����¼ã���³ç���ç½����. 
!!$                              ! Unit number for NAMELIST file open
!!$    integer:: iostat_nml      ! NAMELIST 読ã�¿è¾¼�¿æ���� IOSTAT. 
!!$                              ! IOSTAT of NAMELIST read

    ! NAMELIST å¤��°ç¾¤
    ! NAMELIST group name
    !
!!$    namelist /mass_fixer_nml/
          !
          ! �����������¤ã���¤ã��������������ç¶� "mass_fixer#MassFixerInit" 
          ! ���½ã�¼ã�¹ã�³ã�¼ã�������§ã������. 
          !
          ! Refer to source codes in the initialization procedure
          ! "mass_fixer#MassFixerInit" for the default values. 
          !

    ! ���� ; Executable statement
    !

    if ( mass_fixer_inited ) return


    ! �����������¤ã��¨­å®�
    ! Default values settings
    !

!!$    ! NAMELIST ����¿è¾¼��
!!$    ! NAMELIST is input
!!$    !
!!$    if ( trim(namelist_filename) /= '' ) then
!!$      call FileOpen( unit_nml, &          ! (out)
!!$        & namelist_filename, mode = 'r' ) ! (in)
!!$
!!$      rewind( unit_nml )
!!$      read( unit_nml, &           ! (in)
!!$        & nml = mass_fixer_nml, &  ! (out)
!!$        & iostat = iostat_nml )   ! (out)
!!$      close( unit_nml )
!!$
!!$      call NmlutilMsg( iostat_nml, module_name ) ! (in)
!!$    end if

    ! �°å� ; Print
    !
    call MessageNotify( 'M', module_name, '----- Initialization Messages -----' )
    call MessageNotify( 'M', module_name, '-- version = %c', c1 = trim(version) )

    mass_fixer_inited = .true.

  end subroutine MassFixerInit
MassFixerLayer( xyr_Press, xyzf_QMix, [xyr_PressRef], [xyzf_QMixRef], [xyzf_DQMixDt] )
Subroutine :
xyr_Press(0:imax-1, 1:jmax, 0:kmax) :real(DP), intent(in )
: $ hat{p} $ . æ°��� (���´æ�°ã������). Air pressure (half level)
xyzf_QMix(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(inout)
: $ q $ . ��. Specific humidity
xyr_PressRef(0:imax-1, 1:jmax, 0:kmax) :real(DP), intent(in ), optional
: $ hat{p} $ . æ°��� (���´æ�°ã������). Air pressure (half level)
xyzf_QMixRef(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(in ), optional
: $ q Delta p / g $ . ç©����¤ã���������層å����������³ª��. Reference specific mass of constituent in a layer
xyzf_DQMixDt(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(out ), optional
: $ DP{q}{t} $ . æ¯�湿è�æ­£ç�. Specific humidity correction

���´å±¤���§æ������³ª���è£�æ­£ã���¾ã��. xyzf_QMixRef ��ä¸����������´å������, ����ç©����¤ã�� xyzf_QMixRef �������� �����������������æ­£ã���¾ã��. xyzf_QMixRef ��ä¸������������´å������, ����ç©����¤ã��è£�æ­£å���������� �����������������æ­£ã���¾ã��. xyzf_DQMixDt ���� xyz_QMix ��������è¿����¾ã��.

This routine fixes masses of constituents in each vertical layer. If xyzf_QMixRef is given, the mass is fixed to match its global integrated value is the same as that of xyzf_QMixRef. If xyzf_QMixRef is not given, the mass is fixed to match its global integrated value is the same as that of pre-fixed value. Variation of xyzf_QMix is returned to xyz_DQMixDt.

[Source]

  subroutine MassFixerLayer( xyr_Press, xyzf_QMix, xyr_PressRef, xyzf_QMixRef, xyzf_DQMixDt )
    !
    ! ���´å±¤���§æ������³ª���è£�æ­£ã���¾ã��. 
    ! *xyzf_QMixRef* ��ä¸����������´å������, ����ç©����¤ã�� *xyzf_QMixRef* ��������
    ! �����������������æ­£ã���¾ã��. 
    ! *xyzf_QMixRef* ��ä¸������������´å������, ����ç©����¤ã��è£�æ­£å����������
    ! �����������������æ­£ã���¾ã��. 
    ! *xyzf_DQMixDt* ���� *xyz_QMix* ��������è¿����¾ã��. 
    !
    ! This routine fixes masses of constituents in each vertical layer.
    ! If *xyzf_QMixRef* is given, the mass is fixed to match its global 
    ! integrated value is the same as that of *xyzf_QMixRef*.
    ! If *xyzf_QMixRef* is not given, the mass is fixed to match its global 
    ! integrated value is the same as that of pre-fixed value. 
    ! Variation of *xyzf_QMix* is returned to *xyz_DQMixDt*. 
    !

    ! �¢ã�¸ã�¥ã�¼ã����� ; USE statements
    !

    ! �����»æ�°å­¦å®��°è¨­å®�
    ! Physical and mathematical constants settings
    !
    use constants0, only: PI                    ! $ \pi $.
                              ! �����. Circular constant

    ! ����å®��°è¨­å®�
    ! Physical constants settings
    !
    use constants, only: Grav ! $ g $ [m s-2].
                              ! ���������.
                              ! Gravitational acceleration

    ! 座æ����¼ã�¿è¨­å®�
    ! Axes data settings
    !
    use axesset, only: x_Lon, y_Lat, z_Sigma

    ! ç©�����¹³������ä½�
    ! Operation for integral and average
    !
    use intavr_operate, only: a_IntLonLat_xya

    ! ���»ç���
    ! Time control
    !
    use timeset, only: DelTime, TimesetClockStart, TimesetClockStop

    ! çµ������¢ã���������¨­å®�
    ! Settings of array for atmospheric composition
    !
    use composition, only: CompositionInqFlagMassFix


    ! 宣�� ; Declaration statements
    !
    implicit none
    real(DP), intent(in   )          :: xyr_Press   (0:imax-1, 1:jmax, 0:kmax)
                              ! $ \hat{p} $ . æ°��� (���´æ�°ã������). 
                              ! Air pressure (half level)
    real(DP), intent(inout)          :: xyzf_QMix   (0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ q $ .     ��. Specific humidity
    real(DP), intent(in   ), optional:: xyr_PressRef(0:imax-1, 1:jmax, 0:kmax)
                              ! $ \hat{p} $ . æ°��� (���´æ�°ã������). 
                              ! Air pressure (half level)
    real(DP), intent(in   ), optional:: xyzf_QMixRef(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ q \Delta p / g $ . ç©����¤ã���������層å����������³ª��. 
                              ! Reference specific mass of constituent in a layer
    real(DP), intent(out  ), optional:: xyzf_DQMixDt(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ \DP{q}{t} $ .  æ¯�湿è�æ­£ç�. 
                              ! Specific humidity correction

    ! �業��
    ! Work variables
    !
    real(DP):: xyz_QMixBefCor    (0:imax-1, 1:jmax, 1:kmax)
                              ! ä¿�­£�����æ¹�.
                              ! Specific humidity before correction. 
    real(DP):: xyz_DelMass       (0:imax-1, 1:jmax, 1:kmax)
                              ! $ \Delta p / g $
                              ! 
    real(DP):: xyz_DelMassRef    (0:imax-1, 1:jmax, 1:kmax)
                              ! $ \Delta p / g $ of reference
                              ! 
    real(DP):: xyz_DelConsMass   (0:imax-1, 1:jmax, 1:kmax)
                              ! ��層å����������³ª��.
                              ! Mass of constituents in a layer.
    real(DP):: xyz_DelConsMassRef(0:imax-1, 1:jmax, 1:kmax)
                              ! ç©����¤ã�����������層å����������³ª��.
                              ! Reference mass of constituents.
    real(DP):: z_ConsMass   (1:kmax)
                              ! ��������������³ª��
                              ! Total mass of constituents
    real(DP):: z_ConsMassRef(1:kmax)
                              ! ç©����¤ã�����������������������³ª��
                              ! Reference total mass of constituents.
                              !

    integer:: i               ! çµ�åº��¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in longitudinal direction
    integer:: j               ! ç·�º¦�¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in latitudinal direction
    integer:: k               ! ���´æ�¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in vertical direction
    integer:: n               ! çµ����¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in dimension of constituents

    ! ���� ; Executable statement
    !

    ! ������確è�
    ! Initialization check
    !
    if ( .not. mass_fixer_inited ) then
      call MessageNotify( 'E', module_name, 'This module has not been initialized.' )
    end if


    ! �����������
    ! Start measurement of computation time
    !
    call TimesetClockStart( module_name )


    ! Check arguments
    !
    if ( present( xyr_PressRef ) .or. present( xyzf_QMixRef ) ) then
      if ( .not. ( present( xyr_PressRef ) .and. present( xyzf_QMixRef ) ) ) then
        call MessageNotify( 'E', module_name, 'If xyr_PressRef or xyzf_QMixRef is given, both have to be given.' )
      end if
    end if


    ! $ \Delta p / g $ ����
    ! Calculate $ \Delta p / g $
    !
    do k = 1, kmax
      xyz_DelMass(:,:,k) = ( xyr_Press(:,:,k-1) - xyr_Press(:,:,k) ) / Grav
    end do

    if ( present( xyr_PressRef ) ) then
      do k = 1, kmax
        xyz_DelMassRef(:,:,k) = ( xyr_PressRef(:,:,k-1) - xyr_PressRef(:,:,k) ) / Grav
      end do
    end if

    do n = 1, ncmax

      if ( CompositionInqFlagMassFix( n ) ) then

        ! Calculate mass of constituents
        !
        xyz_DelConsMass = xyzf_QMix(:,:,:,n) * xyz_DelMass

        if ( present( xyzf_QMixRef ) ) then
          xyz_DelConsMassRef = xyzf_QMixRef(:,:,:,n) * xyz_DelMassRef
        else
          xyz_DelConsMassRef = xyz_DelConsMass
        end if
        if ( present( xyzf_DQMixDt ) ) then
          xyz_QMixBefCor = xyzf_QMix(:,:,:,n)
        end if


        do k = 1, kmax
          do j = 1, jmax
            do i = 0, imax-1
              if ( xyz_DelConsMass(i,j,k) < 0.0_DP ) then
                xyz_DelConsMass(i,j,k) = 0.0_DP
              end if
            end do
          end do
        end do


        ! ��層����
        ! Correction in each layer
        !   è³��ü¼�å­��������������³ª���æ¸�å°�������.
        !   Total mass is decreased to conserve mass. 
        !
        z_ConsMass    = a_IntLonLat_xya( xyz_DelConsMass    )
        z_ConsMassRef = a_IntLonLat_xya( xyz_DelConsMassRef )

        do k = 1, kmax

          if ( z_ConsMassRef(k) < 0.0_DP ) then 
            call MessageNotify( 'M', module_name, 'z_ConsMassRef(%f) is negative. ' // 'z_ConsMassRef is reset to zero, n = %d, z_ConsMassRef = %f.', d = (/ z_Sigma(k), z_ConsMassRef(k) /), i = (/ n /) )
            z_ConsMassRef(k) = 0.0_DP
!!$        call MessageNotify( 'E', module_name, 'ConsMassRef is negative, n = %d.', i = (/ n /) )
          end if
          if ( z_ConsMass(k) /= 0.0_DP ) then 
            xyz_DelConsMass(:,:,k) = z_ConsMassRef(k) / z_ConsMass(k) * xyz_DelConsMass(:,:,k)
          else
            xyz_DelConsMass(:,:,k) = 0.0_DP
          end if

        end do

        xyzf_QMix(:,:,:,n) = xyz_DelConsMass / xyz_DelMass

        ! �湿�������
        ! Calculate specific humidity variance
        !
        if ( present( xyzf_DQMixDt ) ) then
          xyzf_DQMixDt(:,:,:,n) = xyzf_DQMixDt(:,:,:,n) + ( xyzf_QMix(:,:,:,n) - xyz_QMixBefCor ) / ( 2.0_DP * DelTime )
        end if

      else

        if ( present( xyzf_DQMixDt ) ) then
          xyz_QMixBefCor = xyzf_QMix(:,:,:,n)
        end if

        xyzf_QMix(:,:,:,n) = max( xyzf_QMix(:,:,:,n), 0.0_DP )

        ! �湿�������
        ! Calculate specific humidity variance
        !
        if ( present( xyzf_DQMixDt ) ) then
          xyzf_DQMixDt(:,:,:,n) = ( xyzf_QMix(:,:,:,n) - xyz_QMixBefCor ) / ( 2.0_DP * DelTime )
        end if

      end if

    end do

    do n = 1, ncmax
      if ( CompositionInqFlagMassFix( n ) ) then
        do k = 1, kmax
          do j = 1, jmax
            do i = 0, imax-1
              if ( xyzf_QMix(i,j,k,n) < 0.0_DP ) then
                call MessageNotify( 'M', module_name, 'Layer: Negative at (%f,%f,%f,%d), Val = %f.', d = (/ x_Lon(i)*180.0_DP/PI, y_Lat(j)*180.0_DP/PI, z_Sigma(k), xyzf_QMix(i,j,k,n)/), i = (/ n /) )
              end if
            end do
          end do
        end do
      end if
    end do


    ! ��������������
    ! Pause measurement of computation time
    !
    call TimesetClockStop( module_name )

  end subroutine MassFixerLayer
MassFixerR95( xyr_Press, xyzf_QMix, [xyr_PressRef], [xyzf_QMixRef], [xyzf_DQMixDt] )
Subroutine :
xyr_Press(0:imax-1, 1:jmax, 0:kmax) :real(DP), intent(in )
: $ hat{p} $ . æ°��� (���´æ�°ã������). Air pressure (half level)
xyzf_QMix(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(inout)
: $ q $ . ��. Specific humidity
xyr_PressRef(0:imax-1, 1:jmax, 0:kmax) :real(DP), intent(in ), optional
: $ hat{p} $ . æ°��� (���´æ�°ã������). Air pressure (half level)
xyzf_QMixRef(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(in ), optional
: $ q Delta p / g $ . ç©����¤ã���������層å����������³ª��. Reference specific mass of constituent in a layer
xyzf_DQMixDt(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(out ), optional
: $ DP{q}{t} $ . æ¯�湿è�æ­£ç�. Specific humidity correction

Rasch et al. (1995) ���¹æ������, ������³ª���è£�æ­£ã���¾ã��. xyzf_QMixRef ��ä¸����������´å������, ����ç©����¤ã�� xyzf_QMixRef �������� �����������������æ­£ã���¾ã��. xyzf_QMixRef ��ä¸������������´å������, ����ç©����¤ã��è£�æ­£å���������� �����������������æ­£ã���¾ã��. xyzf_DQMixDt ���� xyz_QMix ��������è¿����¾ã��.

This routine fix masses of constituents following a method proposed by Rasch et al. (1995). If xyzf_QMixRef is given, the mass is fixed to match its global integrated value is the same as that of xyzf_QMixRef. If xyzf_QMixRef is not given, the mass is fixed to match its global integrated value is the same as that of pre-fixed value. Variation of xyzf_QMix is returned to xyz_DQMixDt.

[Source]

  subroutine MassFixerR95( xyr_Press, xyzf_QMix, xyr_PressRef, xyzf_QMixRef, xyzf_DQMixDt )
    !
    ! Rasch et al. (1995) ���¹æ������, ������³ª���è£�æ­£ã���¾ã��. 
    ! *xyzf_QMixRef* ��ä¸����������´å������, ����ç©����¤ã�� *xyzf_QMixRef* ��������
    ! �����������������æ­£ã���¾ã��. 
    ! *xyzf_QMixRef* ��ä¸������������´å������, ����ç©����¤ã��è£�æ­£å����������
    ! �����������������æ­£ã���¾ã��. 
    ! *xyzf_DQMixDt* ���� *xyz_QMix* ��������è¿����¾ã��. 
    !
    ! This routine fix masses of constituents following a method proposed by 
    ! Rasch et al. (1995).
    ! If *xyzf_QMixRef* is given, the mass is fixed to match its global 
    ! integrated value is the same as that of *xyzf_QMixRef*.
    ! If *xyzf_QMixRef* is not given, the mass is fixed to match its global 
    ! integrated value is the same as that of pre-fixed value. 
    ! Variation of *xyzf_QMix* is returned to *xyz_DQMixDt*. 
    !

    ! �¢ã�¸ã�¥ã�¼ã����� ; USE statements
    !

    ! �����»æ�°å­¦å®��°è¨­å®�
    ! Physical and mathematical constants settings
    !
    use constants0, only: PI                    ! $ \pi $.
                              ! �����. Circular constant

    ! ����å®��°è¨­å®�
    ! Physical constants settings
    !
    use constants, only: Grav ! $ g $ [m s-2].
                              ! ���������.
                              ! Gravitational acceleration
    ! 座æ����¼ã�¿è¨­å®�
    ! Axes data settings
    !
    use axesset, only: x_Lon, y_Lat, z_Sigma

    ! ç©�����¹³������ä½�
    ! Operation for integral and average
    !
    use intavr_operate, only: IntLonLat_xy

    ! ���»ç���
    ! Time control
    !
    use timeset, only: DelTime, TimesetClockStart, TimesetClockStop

    ! çµ������¢ã���������¨­å®�
    ! Settings of array for atmospheric composition
    !
    use composition, only: CompositionInqFlagMassFix


    ! 宣�� ; Declaration statements
    !
    implicit none
    real(DP), intent(in   )          :: xyr_Press   (0:imax-1, 1:jmax, 0:kmax)
                              ! $ \hat{p} $ . æ°��� (���´æ�°ã������). 
                              ! Air pressure (half level)
    real(DP), intent(inout)          :: xyzf_QMix   (0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ q $ .     ��. Specific humidity
    real(DP), intent(in   ), optional:: xyr_PressRef(0:imax-1, 1:jmax, 0:kmax)
                              ! $ \hat{p} $ . æ°��� (���´æ�°ã������). 
                              ! Air pressure (half level)
    real(DP), intent(in   ), optional:: xyzf_QMixRef(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ q \Delta p / g $ . ç©����¤ã���������層å����������³ª��. 
                              ! Reference specific mass of constituent in a layer
    real(DP), intent(out  ), optional:: xyzf_DQMixDt(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ \DP{q}{t} $ .  æ¯�湿è�æ­£ç�. 
                              ! Specific humidity correction

    ! �業��
    ! Work variables
    !
    real(DP):: xyzf_QMixRefLV(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ q $ . 層å����������··��æ¯�. 
                              ! Reference specific mass of constituent (local value)

    real(DP):: xyzf_QMixBefCor   (0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! ä¿�­£�����æ¹�.
                              ! Specific humidity before correction. 
    real(DP):: xyz_DelMass       (0:imax-1, 1:jmax, 1:kmax)
                              ! $ \Delta p / g $
                              ! 
    real(DP):: xyz_DelMassRef    (0:imax-1, 1:jmax, 1:kmax)
                              ! $ \Delta p / g $ of reference
                              ! 

    real(DP):: xyz_Weight       (0:imax-1, 1:jmax, 1:kmax)
    real(DP):: xy_FactAlphaNumer(0:imax-1, 1:jmax)
    real(DP):: xy_FactAlphaDenom(0:imax-1, 1:jmax)
    real(DP):: FactAlphaNumer
    real(DP):: FactAlphaDenom
    real(DP):: FactAlpha
    real(DP), parameter:: FactBeta = 1.0_DP ! for Rasch et al. (1994)

    real(DP):: xy_SumB(0:imax-1, 1:jmax)
    real(DP):: xy_SumA(0:imax-1, 1:jmax)
    real(DP):: SumB
    real(DP):: SumA
    real(DP):: Factor


    integer:: i               ! çµ�åº��¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in longitudinal direction
    integer:: j               ! ç·�º¦�¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in latitudinal direction
    integer:: k               ! ���´æ�¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in vertical direction
    integer:: n               ! çµ����¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in dimension of constituents

    ! ���� ; Executable statement
    !

    ! ������確è�
    ! Initialization check
    !
    if ( .not. mass_fixer_inited ) then
      call MessageNotify( 'E', module_name, 'This module has not been initialized.' )
    end if


    ! �����������
    ! Start measurement of computation time
    !
    call TimesetClockStart( module_name )


    ! Check arguments
    !
    if ( present( xyr_PressRef ) .or. present( xyzf_QMixRef ) ) then
      if ( .not. ( present( xyr_PressRef ) .and. present( xyzf_QMixRef ) ) ) then
        call MessageNotify( 'E', module_name, 'If xyr_PressRef or xyzf_QMixRef is given, both have to be given.' )
      end if
    end if


    ! Backup of a variable
    if ( present( xyzf_DQMixDt ) ) then
      xyzf_QMixBefCor = xyzf_QMix
    end if

    ! Preparation of variable for reference
    if ( present( xyzf_QMixRef ) ) then
      xyzf_QMixRefLV = xyzf_QMixRef
    else
      xyzf_QMixRefLV = xyzf_QMix
    end if


    do k = 1, kmax
      xyz_DelMass(:,:,k) = ( xyr_Press(:,:,k-1) - xyr_Press(:,:,k) ) / Grav
    end do

    if ( present( xyr_PressRef ) ) then
      do k = 1, kmax
        xyz_DelMassRef(:,:,k) = ( xyr_PressRef(:,:,k-1) - xyr_PressRef(:,:,k) ) / Grav
      end do
    else
      xyz_DelMassRef = xyz_DelMass
    end if


    ! Fill grids with negative values
    xyzf_QMix = max( xyzf_QMix, 0.0_DP )


    ! Calculation of weight (pressure)
    do k = 1, kmax
      xyz_Weight(:,:,k) = ( xyr_Press(:,:,k-1) + xyr_Press(:,:,k) ) / 2.0_DP
    end do

    ! loop for constituents
    do n = 1, ncmax

      if ( CompositionInqFlagMassFix( n ) ) then

        ! 
        ! Calculation of factor, alpha
        !
        xy_FactAlphaNumer = 0.0_DP
        xy_FactAlphaDenom = 0.0_DP
        do k = kmax, 1, -1
          xy_FactAlphaNumer = xy_FactAlphaNumer + xyzf_QMixRefLV(:,:,k,n) * xyz_DelMassRef(:,:,k) - xyzf_QMix     (:,:,k,n) * xyz_DelMass     (:,:,k)
          xy_FactAlphaDenom = xy_FactAlphaDenom + xyz_Weight  (:,:,k) * xyzf_QMix   (:,:,k,n) * abs( xyzf_QMix(:,:,k,n) - xyzf_QMixRefLV(:,:,k,n) )**FactBeta * xyz_DelMass(:,:,k)
        end do
        FactAlphaNumer = IntLonLat_xy( xy_FactAlphaNumer )
        FactAlphaDenom = IntLonLat_xy( xy_FactAlphaDenom )
        if ( FactAlphaDenom /= 0.0_DP ) then
          FactAlpha = FactAlphaNumer / FactAlphaDenom
        else
          FactAlpha = 0.0_DP
        end if

        xyzf_QMix(:,:,:,n) = xyzf_QMix(:,:,:,n) + FactAlpha * xyz_Weight * xyzf_QMix(:,:,:,n) * abs( xyzf_QMix(:,:,:,n) - xyzf_QMixRefLV(:,:,:,n) )**FactBeta

      end if

    end do

    ! �湿�������
    ! Calculate specific humidity variance
    !
    if ( present( xyzf_DQMixDt ) ) then
      xyzf_DQMixDt = ( xyzf_QMix - xyzf_QMixBefCor ) / ( 2.0_DP * DelTime )
    end if


    ! Ensure non-negative values
    ! This procedure is not included in Rasch et al. (1995).
    do n = 1, ncmax
      if ( CompositionInqFlagMassFix( n ) ) then
        xyzf_QMix(:,:,:,n) = max( xyzf_QMix(:,:,:,n), 0.0_DP )
        xy_SumB = 0.0_DP
        xy_SumA = 0.0_DP
        do k = kmax, 1, -1
          xy_SumB = xy_SumB + xyzf_QMixRefLV(:,:,k,n) * xyz_DelMassRef(:,:,k)
          xy_SumA = xy_SumA + xyzf_QMix     (:,:,k,n) * xyz_DelMass   (:,:,k)
        end do
        SumB = IntLonLat_xy( xy_SumB )
        SumA = IntLonLat_xy( xy_SumA )
        if ( SumA == 0.0_DP ) then
          Factor = 0.0_DP
        else if ( SumA < 0.0_DP ) then
          call MessageNotify( 'M', module_name, 'R95: n = %d, SumA is negative, %f.', i = (/ n /), d = (/ SumA /) )
          Factor = 0.0_DP
        else
          if ( SumB < 0.0_DP ) then
            call MessageNotify( 'M', module_name, 'R95: n = %d, SumB is negative, %f.', i = (/ n /), d = (/ SumB /) )
            Factor = 0.0_DP
          else
            Factor = SumB / SumA
          end if
        end if
        xyzf_QMix(:,:,:,n) = Factor * xyzf_QMix(:,:,:,n)
      end if
    end do


!!$    ! This is not required.
!!$    do n = 1, ncmax
!!$      if ( CompositionInqFlagMassFix( n ) ) then
!!$        do k = 1, kmax
!!$          do j = 1, jmax
!!$            do i = 0, imax-1
!!$              if ( xyzf_QMix(i,j,k,n) < 0.0_DP ) then
!!$                call MessageNotify( 'M', module_name, &
!!$                  & 'R95: Negative at (%f,%f,%f,%d), Val = %f.', &
!!$                  & d = (/ x_Lon(i)*180.0_DP/PI,  y_Lat(j)*180.0_DP/PI, &
!!$                  &        z_Sigma(k), xyzf_QMix(i,j,k,n) /), &
!!$                  & i = (/ n /) )
!!$              end if
!!$            end do
!!$          end do
!!$        end do
!!$      end if
!!$    end do


    ! ��������������
    ! Pause measurement of computation time
    !
    call TimesetClockStop( module_name )

  end subroutine MassFixerR95
MassFixerR95Column( xyr_Press, xyzf_QMix, [xyr_PressRef], [xyzf_QMixRef], [xyzf_DQMixDt] )
Subroutine :
xyr_Press(0:imax-1, 1:jmax, 0:kmax) :real(DP), intent(in )
: $ hat{p} $ . æ°��� (���´æ�°ã������). Air pressure (half level)
xyzf_QMix(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(inout)
: $ q $ . ��. Specific humidity
xyr_PressRef(0:imax-1, 1:jmax, 0:kmax) :real(DP), intent(in ), optional
: $ hat{p} $ . æ°��� (���´æ�°ã������). Air pressure (half level)
xyzf_QMixRef(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(in ), optional
: $ q Delta p / g $ . ç©����¤ã���������層å����������³ª��. Reference specific mass of constituent in a layer
xyzf_DQMixDt(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(out ), optional
: $ DP{q}{t} $ . æ¯�湿è�æ­£ç�. Specific humidity correction

Rasch et al. (1995) ���¹æ������, ������³ª���è£�æ­£ã���¾ã��. xyzf_QMixRef ��ä¸����������´å������, ����ç©����¤ã�� xyzf_QMixRef �������� �����������������æ­£ã���¾ã��. xyzf_QMixRef ��ä¸������������´å������, ����ç©����¤ã��è£�æ­£å���������� �����������������æ­£ã���¾ã��. xyzf_DQMixDt ���� xyz_QMix ��������è¿����¾ã��.

This routine fix masses of constituents following a method proposed by Rasch et al. (1995). If xyzf_QMixRef is given, the mass is fixed to match its global integrated value is the same as that of xyzf_QMixRef. If xyzf_QMixRef is not given, the mass is fixed to match its global integrated value is the same as that of pre-fixed value. Variation of xyzf_QMix is returned to xyz_DQMixDt.

[Source]

  subroutine MassFixerR95Column( xyr_Press, xyzf_QMix, xyr_PressRef, xyzf_QMixRef, xyzf_DQMixDt )
    !
    ! Rasch et al. (1995) ���¹æ������, ������³ª���è£�æ­£ã���¾ã��. 
    ! *xyzf_QMixRef* ��ä¸����������´å������, ����ç©����¤ã�� *xyzf_QMixRef* ��������
    ! �����������������æ­£ã���¾ã��. 
    ! *xyzf_QMixRef* ��ä¸������������´å������, ����ç©����¤ã��è£�æ­£å����������
    ! �����������������æ­£ã���¾ã��. 
    ! *xyzf_DQMixDt* ���� *xyz_QMix* ��������è¿����¾ã��. 
    !
    ! This routine fix masses of constituents following a method proposed by 
    ! Rasch et al. (1995).
    ! If *xyzf_QMixRef* is given, the mass is fixed to match its global 
    ! integrated value is the same as that of *xyzf_QMixRef*.
    ! If *xyzf_QMixRef* is not given, the mass is fixed to match its global 
    ! integrated value is the same as that of pre-fixed value. 
    ! Variation of *xyzf_QMix* is returned to *xyz_DQMixDt*. 
    !

    ! �¢ã�¸ã�¥ã�¼ã����� ; USE statements
    !

    ! �����»æ�°å­¦å®��°è¨­å®�
    ! Physical and mathematical constants settings
    !
    use constants0, only: PI                    ! $ \pi $.
                              ! �����. Circular constant

    ! ����å®��°è¨­å®�
    ! Physical constants settings
    !
    use constants, only: Grav ! $ g $ [m s-2].
                              ! ���������.
                              ! Gravitational acceleration
    ! 座æ����¼ã�¿è¨­å®�
    ! Axes data settings
    !
    use axesset, only: x_Lon, y_Lat, z_Sigma

    ! ���»ç���
    ! Time control
    !
    use timeset, only: DelTime, TimesetClockStart, TimesetClockStop

    ! çµ������¢ã���������¨­å®�
    ! Settings of array for atmospheric composition
    !
    use composition, only: CompositionInqFlagMassFix


    ! 宣�� ; Declaration statements
    !
    implicit none
    real(DP), intent(in   )          :: xyr_Press   (0:imax-1, 1:jmax, 0:kmax)
                              ! $ \hat{p} $ . æ°��� (���´æ�°ã������). 
                              ! Air pressure (half level)
    real(DP), intent(inout)          :: xyzf_QMix   (0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ q $ .     ��. Specific humidity
    real(DP), intent(in   ), optional:: xyr_PressRef(0:imax-1, 1:jmax, 0:kmax)
                              ! $ \hat{p} $ . æ°��� (���´æ�°ã������). 
                              ! Air pressure (half level)
    real(DP), intent(in   ), optional:: xyzf_QMixRef(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ q \Delta p / g $ . ç©����¤ã���������層å����������³ª��. 
                              ! Reference specific mass of constituent in a layer
    real(DP), intent(out  ), optional:: xyzf_DQMixDt(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ \DP{q}{t} $ .  æ¯�湿è�æ­£ç�. 
                              ! Specific humidity correction

    ! �業��
    ! Work variables
    !
    real(DP):: xyzf_QMixRefLV(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ q $ . 層å����������··��æ¯�. 
                              ! Reference specific mass of constituent (local value)

    real(DP):: xyzf_QMixBefCor   (0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! ä¿�­£�����æ¹�.
                              ! Specific humidity before correction. 
    real(DP):: xyz_DelMass       (0:imax-1, 1:jmax, 1:kmax)
                              ! $ \Delta p / g $
                              ! 
    real(DP):: xyz_DelMassRef    (0:imax-1, 1:jmax, 1:kmax)
                              ! $ \Delta p / g $ of reference
                              ! 

    real(DP):: xyz_Weight       (0:imax-1, 1:jmax, 1:kmax)
    real(DP):: xy_FactAlphaNumer(0:imax-1, 1:jmax)
    real(DP):: xy_FactAlphaDenom(0:imax-1, 1:jmax)
    real(DP):: xy_FactAlpha(0:imax-1, 1:jmax)
    real(DP), parameter:: FactBeta = 1.0_DP ! for Rasch et al. (1994)

    real(DP):: xy_SumB(0:imax-1, 1:jmax)
    real(DP):: xy_SumA(0:imax-1, 1:jmax)
    real(DP):: xy_Factor(0:imax-1, 1:jmax)


    integer:: i               ! çµ�åº��¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in longitudinal direction
    integer:: j               ! ç·�º¦�¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in latitudinal direction
    integer:: k               ! ���´æ�¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in vertical direction
    integer:: n               ! çµ����¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in dimension of constituents

    ! ���� ; Executable statement
    !

    ! ������確è�
    ! Initialization check
    !
    if ( .not. mass_fixer_inited ) then
      call MessageNotify( 'E', module_name, 'This module has not been initialized.' )
    end if


    ! �����������
    ! Start measurement of computation time
    !
    call TimesetClockStart( module_name )


    ! Check arguments
    !
    if ( present( xyr_PressRef ) .or. present( xyzf_QMixRef ) ) then
      if ( .not. ( present( xyr_PressRef ) .and. present( xyzf_QMixRef ) ) ) then
        call MessageNotify( 'E', module_name, 'If xyr_PressRef or xyzf_QMixRef is given, both have to be given.' )
      end if
    end if


    ! Backup of a variable
    if ( present( xyzf_DQMixDt ) ) then
      xyzf_QMixBefCor = xyzf_QMix
    end if

    ! Preparation of variable for reference
    if ( present( xyzf_QMixRef ) ) then
      xyzf_QMixRefLV = xyzf_QMixRef
    else
      xyzf_QMixRefLV = xyzf_QMix
    end if


    do k = 1, kmax
      xyz_DelMass(:,:,k) = ( xyr_Press(:,:,k-1) - xyr_Press(:,:,k) ) / Grav
    end do

    if ( present( xyr_PressRef ) ) then
      do k = 1, kmax
        xyz_DelMassRef(:,:,k) = ( xyr_PressRef(:,:,k-1) - xyr_PressRef(:,:,k) ) / Grav
      end do
    else
      xyz_DelMassRef = xyz_DelMass
    end if


    ! Fill grids with negative values
    xyzf_QMix = max( xyzf_QMix, 0.0_DP )


    ! Calculation of weight (pressure)
    do k = 1, kmax
      xyz_Weight(:,:,k) = ( xyr_Press(:,:,k-1) + xyr_Press(:,:,k) ) / 2.0_DP
    end do

    ! loop for constituents
    do n = 1, ncmax

      if ( CompositionInqFlagMassFix( n ) ) then

        ! 
        ! Calculation of factor, alpha
        !
        xy_FactAlphaNumer = 0.0_DP
        xy_FactAlphaDenom = 0.0_DP
        do k = kmax, 1, -1
          xy_FactAlphaNumer = xy_FactAlphaNumer + xyzf_QMixRefLV(:,:,k,n) * xyz_DelMassRef(:,:,k) - xyzf_QMix     (:,:,k,n) * xyz_DelMass     (:,:,k)
          xy_FactAlphaDenom = xy_FactAlphaDenom + xyz_Weight  (:,:,k) * xyzf_QMix   (:,:,k,n) * abs( xyzf_QMix(:,:,k,n) - xyzf_QMixRefLV(:,:,k,n) )**FactBeta * xyz_DelMass(:,:,k)
        end do
        do j = 1, jmax
          do i = 0, imax-1
            if ( xy_FactAlphaDenom(i,j) /= 0.0_DP ) then
              xy_FactAlpha(i,j) = xy_FactAlphaNumer(i,j) / xy_FactAlphaDenom(i,j)
            else
              xy_FactAlpha(i,j) = 0.0_DP
            end if
          end do
        end do

        do k = 1, kmax
          xyzf_QMix(:,:,k,n) = xyzf_QMix(:,:,k,n) + xy_FactAlpha * xyz_Weight(:,:,k) * xyzf_QMix(:,:,k,n) * abs( xyzf_QMix(:,:,k,n) - xyzf_QMixRefLV(:,:,k,n) )**FactBeta
        end do

      end if

    end do

    ! �湿�������
    ! Calculate specific humidity variance
    !
    if ( present( xyzf_DQMixDt ) ) then
      xyzf_DQMixDt = ( xyzf_QMix - xyzf_QMixBefCor ) / ( 2.0_DP * DelTime )
    end if


    ! Ensure non-negative values
    ! This procedure is not included in Rasch et al. (1995).
    do n = 1, ncmax
      if ( CompositionInqFlagMassFix( n ) ) then
        xyzf_QMix(:,:,:,n) = max( xyzf_QMix(:,:,:,n), 0.0_DP )
        xy_SumB = 0.0_DP
        xy_SumA = 0.0_DP
        do k = kmax, 1, -1
          xy_SumB = xy_SumB + xyzf_QMixRefLV(:,:,k,n) * xyz_DelMassRef(:,:,k)
          xy_SumA = xy_SumA + xyzf_QMix     (:,:,k,n) * xyz_DelMass   (:,:,k)
        end do
        do j = 1, jmax
          do i = 0, imax-1
            if ( xy_SumA(i,j) == 0.0_DP ) then
              xy_Factor(i,j) = 0.0_DP
            else if ( xy_SumA(i,j) < 0.0_DP ) then
              call MessageNotify( 'M', module_name, 'R95: n = %d, SumA is negative, %f.', i = (/ n /), d = (/ xy_SumA(i,j) /) )
              xy_Factor(i,j) = 0.0_DP
            else
              if ( xy_SumB(i,j) < 0.0_DP ) then
                call MessageNotify( 'M', module_name, 'R95: n = %d, SumB is negative, %f.', i = (/ n /), d = (/ xy_SumB(i,j) /) )
                xy_Factor(i,j) = 0.0_DP
              else
                xy_Factor(i,j) = xy_SumB(i,j) / xy_SumA(i,j)
              end if
            end if
          end do
        end do
        do k = 1, kmax
          xyzf_QMix(:,:,k,n) = xy_Factor * xyzf_QMix(:,:,k,n)
        end do
      end if
    end do


!!$    ! This is not required.
!!$    do n = 1, ncmax
!!$      if ( CompositionInqFlagMassFix( n ) ) then
!!$        do k = 1, kmax
!!$          do j = 1, jmax
!!$            do i = 0, imax-1
!!$              if ( xyzf_QMix(i,j,k,n) < 0.0_DP ) then
!!$                call MessageNotify( 'M', module_name, &
!!$                  & 'R95: Negative at (%f,%f,%f,%d), Val = %f.', &
!!$                  & d = (/ x_Lon(i)*180.0_DP/PI,  y_Lat(j)*180.0_DP/PI, &
!!$                  &        z_Sigma(k), xyzf_QMix(i,j,k,n) /), &
!!$                  & i = (/ n /) )
!!$              end if
!!$            end do
!!$          end do
!!$        end do
!!$      end if
!!$    end do


    ! ��������������
    ! Pause measurement of computation time
    !
    call TimesetClockStop( module_name )

  end subroutine MassFixerR95Column
MassFixerR95Layer( xyr_Press, xyzf_QMix, [xyr_PressRef], [xyzf_QMixRef], [xyzf_DQMixDt] )
Subroutine :
xyr_Press(0:imax-1, 1:jmax, 0:kmax) :real(DP), intent(in )
: $ hat{p} $ . æ°��� (���´æ�°ã������). Air pressure (half level)
xyzf_QMix(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(inout)
: $ q $ . ��. Specific humidity
xyr_PressRef(0:imax-1, 1:jmax, 0:kmax) :real(DP), intent(in ), optional
: $ hat{p} $ . æ°��� (���´æ�°ã������). Air pressure (half level)
xyzf_QMixRef(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(in ), optional
: $ q Delta p / g $ . ç©����¤ã���������層å����������³ª��. Reference specific mass of constituent in a layer
xyzf_DQMixDt(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(out ), optional
: $ DP{q}{t} $ . æ¯�湿è�æ­£ç�. Specific humidity correction

Rasch et al. (1995) ���¹æ������, ������³ª���è£�æ­£ã���¾ã��. xyzf_QMixRef ��ä¸����������´å������, ����ç©����¤ã�� xyzf_QMixRef �������� �����������������æ­£ã���¾ã��. xyzf_QMixRef ��ä¸������������´å������, ����ç©����¤ã��è£�æ­£å���������� �����������������æ­£ã���¾ã��. xyzf_DQMixDt ���� xyz_QMix ��������è¿����¾ã��.

This routine fix masses of constituents following a method proposed by Rasch et al. (1995). If xyzf_QMixRef is given, the mass is fixed to match its global integrated value is the same as that of xyzf_QMixRef. If xyzf_QMixRef is not given, the mass is fixed to match its global integrated value is the same as that of pre-fixed value. Variation of xyzf_QMix is returned to xyz_DQMixDt.

[Source]

  subroutine MassFixerR95Layer( xyr_Press, xyzf_QMix, xyr_PressRef, xyzf_QMixRef, xyzf_DQMixDt )
    !
    ! Rasch et al. (1995) ���¹æ������, ������³ª���è£�æ­£ã���¾ã��. 
    ! *xyzf_QMixRef* ��ä¸����������´å������, ����ç©����¤ã�� *xyzf_QMixRef* ��������
    ! �����������������æ­£ã���¾ã��. 
    ! *xyzf_QMixRef* ��ä¸������������´å������, ����ç©����¤ã��è£�æ­£å����������
    ! �����������������æ­£ã���¾ã��. 
    ! *xyzf_DQMixDt* ���� *xyz_QMix* ��������è¿����¾ã��. 
    !
    ! This routine fix masses of constituents following a method proposed by 
    ! Rasch et al. (1995).
    ! If *xyzf_QMixRef* is given, the mass is fixed to match its global 
    ! integrated value is the same as that of *xyzf_QMixRef*.
    ! If *xyzf_QMixRef* is not given, the mass is fixed to match its global 
    ! integrated value is the same as that of pre-fixed value. 
    ! Variation of *xyzf_QMix* is returned to *xyz_DQMixDt*. 
    !

    ! �¢ã�¸ã�¥ã�¼ã����� ; USE statements
    !

    ! �����»æ�°å­¦å®��°è¨­å®�
    ! Physical and mathematical constants settings
    !
    use constants0, only: PI                    ! $ \pi $.
                              ! �����. Circular constant

    ! ����å®��°è¨­å®�
    ! Physical constants settings
    !
    use constants, only: Grav ! $ g $ [m s-2].
                              ! ���������.
                              ! Gravitational acceleration
    ! 座æ����¼ã�¿è¨­å®�
    ! Axes data settings
    !
    use axesset, only: x_Lon, y_Lat, z_Sigma

    ! ç©�����¹³������ä½�
    ! Operation for integral and average
    !
    use intavr_operate, only: a_IntLonLat_xya

    ! ���»ç���
    ! Time control
    !
    use timeset, only: DelTime, TimesetClockStart, TimesetClockStop

    ! çµ������¢ã���������¨­å®�
    ! Settings of array for atmospheric composition
    !
    use composition, only: CompositionInqFlagMassFix


    ! 宣�� ; Declaration statements
    !
    implicit none
    real(DP), intent(in   )          :: xyr_Press   (0:imax-1, 1:jmax, 0:kmax)
                              ! $ \hat{p} $ . æ°��� (���´æ�°ã������). 
                              ! Air pressure (half level)
    real(DP), intent(inout)          :: xyzf_QMix   (0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ q $ .     ��. Specific humidity
    real(DP), intent(in   ), optional:: xyr_PressRef(0:imax-1, 1:jmax, 0:kmax)
                              ! $ \hat{p} $ . æ°��� (���´æ�°ã������). 
                              ! Air pressure (half level)
    real(DP), intent(in   ), optional:: xyzf_QMixRef(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ q \Delta p / g $ . ç©����¤ã���������層å����������³ª��. 
                              ! Reference specific mass of constituent in a layer
    real(DP), intent(out  ), optional:: xyzf_DQMixDt(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ \DP{q}{t} $ .  æ¯�湿è�æ­£ç�. 
                              ! Specific humidity correction

    ! �業��
    ! Work variables
    !
    real(DP):: xyzf_QMixRefLV(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ q $ . 層å����������··��æ¯�. 
                              ! Reference specific mass of constituent (local value)

    real(DP):: xyzf_QMixBefCor   (0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! ä¿�­£�����æ¹�.
                              ! Specific humidity before correction. 
    real(DP):: xyz_DelMass       (0:imax-1, 1:jmax, 1:kmax)
                              ! $ \Delta p / g $
                              ! 
    real(DP):: xyz_DelMassRef    (0:imax-1, 1:jmax, 1:kmax)
                              ! $ \Delta p / g $ of reference
                              ! 

    real(DP):: xyz_Weight       (0:imax-1, 1:jmax, 1:kmax)
    real(DP):: xyz_FactAlphaNumer(0:imax-1, 1:jmax, 1:kmax)
    real(DP):: xyz_FactAlphaDenom(0:imax-1, 1:jmax, 1:kmax)
    real(DP):: z_FactAlphaNumer(1:kmax)
    real(DP):: z_FactAlphaDenom(1:kmax)
    real(DP):: z_FactAlpha     (1:kmax)
    real(DP), parameter:: FactBeta = 1.0_DP ! for Rasch et al. (1994)

    real(DP):: xyz_SumB(0:imax-1, 1:jmax, 1:kmax)
    real(DP):: xyz_SumA(0:imax-1, 1:jmax, 1:kmax)
    real(DP):: z_SumB(1:kmax)
    real(DP):: z_SumA(1:kmax)
    real(DP):: z_Factor(1:kmax)


    integer:: i               ! çµ�åº��¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in longitudinal direction
    integer:: j               ! ç·�º¦�¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in latitudinal direction
    integer:: k               ! ���´æ�¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in vertical direction
    integer:: n               ! çµ����¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in dimension of constituents

    ! ���� ; Executable statement
    !

    ! ������確è�
    ! Initialization check
    !
    if ( .not. mass_fixer_inited ) then
      call MessageNotify( 'E', module_name, 'This module has not been initialized.' )
    end if


    ! �����������
    ! Start measurement of computation time
    !
    call TimesetClockStart( module_name )


    ! Check arguments
    !
    if ( present( xyr_PressRef ) .or. present( xyzf_QMixRef ) ) then
      if ( .not. ( present( xyr_PressRef ) .and. present( xyzf_QMixRef ) ) ) then
        call MessageNotify( 'E', module_name, 'If xyr_PressRef or xyzf_QMixRef is given, both have to be given.' )
      end if
    end if


    ! Backup of a variable
    if ( present( xyzf_DQMixDt ) ) then
      xyzf_QMixBefCor = xyzf_QMix
    end if

    ! Preparation of variable for reference
    if ( present( xyzf_QMixRef ) ) then
      xyzf_QMixRefLV = xyzf_QMixRef
    else
      xyzf_QMixRefLV = xyzf_QMix
    end if


    do k = 1, kmax
      xyz_DelMass(:,:,k) = ( xyr_Press(:,:,k-1) - xyr_Press(:,:,k) ) / Grav
    end do

    if ( present( xyr_PressRef ) ) then
      do k = 1, kmax
        xyz_DelMassRef(:,:,k) = ( xyr_PressRef(:,:,k-1) - xyr_PressRef(:,:,k) ) / Grav
      end do
    else
      xyz_DelMassRef = xyz_DelMass
    end if


    ! Fill grids with negative values
    xyzf_QMix = max( xyzf_QMix, 0.0_DP )


    ! Calculation of weight (pressure)
    do k = 1, kmax
      xyz_Weight(:,:,k) = ( xyr_Press(:,:,k-1) + xyr_Press(:,:,k) ) / 2.0_DP
    end do

    ! loop for constituents
    do n = 1, ncmax

      if ( CompositionInqFlagMassFix( n ) ) then

        ! 
        ! Calculation of factor, alpha
        !
        xyz_FactAlphaNumer = + xyzf_QMixRefLV(:,:,:,n) * xyz_DelMassRef - xyzf_QMix     (:,:,:,n) * xyz_DelMass
        xyz_FactAlphaDenom = + xyz_Weight * xyzf_QMix   (:,:,:,n) * abs( xyzf_QMix(:,:,:,n) - xyzf_QMixRefLV(:,:,:,n) )**FactBeta * xyz_DelMass
        z_FactAlphaNumer = a_IntLonLat_xya( xyz_FactAlphaNumer )
        z_FactAlphaDenom = a_IntLonLat_xya( xyz_FactAlphaDenom )
        do k = 1, kmax
          if ( z_FactAlphaDenom(k) /= 0.0_DP ) then
            z_FactAlpha(k) = z_FactAlphaNumer(k) / z_FactAlphaDenom(k)
          else
            z_FactAlpha(k) = 0.0_DP
          end if
        end do

        do k = 1, kmax
          xyzf_QMix(:,:,k,n) = xyzf_QMix(:,:,k,n) + z_FactAlpha(k) * xyz_Weight(:,:,k) * xyzf_QMix(:,:,k,n) * abs( xyzf_QMix(:,:,k,n) - xyzf_QMixRefLV(:,:,k,n) )**FactBeta
        end do

      end if

    end do

    ! �湿�������
    ! Calculate specific humidity variance
    !
    if ( present( xyzf_DQMixDt ) ) then
      xyzf_DQMixDt = ( xyzf_QMix - xyzf_QMixBefCor ) / ( 2.0_DP * DelTime )
    end if


    ! Ensure non-negative values
    ! This procedure is not included in Rasch et al. (1995).
    do n = 1, ncmax
      if ( CompositionInqFlagMassFix( n ) ) then
        xyzf_QMix(:,:,:,n) = max( xyzf_QMix(:,:,:,n), 0.0_DP )
        xyz_SumB = xyzf_QMixRefLV(:,:,:,n) * xyz_DelMassRef
        xyz_SumA = xyzf_QMix     (:,:,:,n) * xyz_DelMass
        z_SumB = a_IntLonLat_xya( xyz_SumB )
        z_SumA = a_IntLonLat_xya( xyz_SumA )
        do k = 1, kmax
          if ( z_SumA(k) == 0.0_DP ) then
            z_Factor(k) = 0.0_DP
          else if ( z_SumA(k) < 0.0_DP ) then
            call MessageNotify( 'M', module_name, 'R95: n = %d, SumA is negative, %f.', i = (/ n /), d = (/ z_SumA(k) /) )
            z_Factor(k) = 0.0_DP
          else
            if ( z_SumB(k) < 0.0_DP ) then
              call MessageNotify( 'M', module_name, 'R95: n = %d, SumB is negative, %f.', i = (/ n /), d = (/ z_SumB(k) /) )
              z_Factor(k) = 0.0_DP
            else
              z_Factor(k) = z_SumB(k) / z_SumA(k)
            end if
          end if
        end do
        do k = 1, kmax
          xyzf_QMix(:,:,k,n) = z_Factor(k) * xyzf_QMix(:,:,k,n)
        end do
      end if
    end do


!!$    ! This is not required.
!!$    do n = 1, ncmax
!!$      if ( CompositionInqFlagMassFix( n ) ) then
!!$        do k = 1, kmax
!!$          do j = 1, jmax
!!$            do i = 0, imax-1
!!$              if ( xyzf_QMix(i,j,k,n) < 0.0_DP ) then
!!$                call MessageNotify( 'M', module_name, &
!!$                  & 'R95: Negative at (%f,%f,%f,%d), Val = %f.', &
!!$                  & d = (/ x_Lon(i)*180.0_DP/PI,  y_Lat(j)*180.0_DP/PI, &
!!$                  &        z_Sigma(k), xyzf_QMix(i,j,k,n) /), &
!!$                  & i = (/ n /) )
!!$              end if
!!$            end do
!!$          end do
!!$        end do
!!$      end if
!!$    end do


    ! ��������������
    ! Pause measurement of computation time
    !
    call TimesetClockStop( module_name )

  end subroutine MassFixerR95Layer
MassFixerWO94( xyr_Press, xyzf_QMix, [xyr_PressRef], [xyzf_QMixRef], [xyzf_DQMixDt] )
Subroutine :
xyr_Press(0:imax-1, 1:jmax, 0:kmax) :real(DP), intent(in )
: $ hat{p} $ . æ°��� (���´æ�°ã������). Air pressure (half level)
xyzf_QMix(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(inout)
: $ q $ . ��. Specific humidity
xyr_PressRef(0:imax-1, 1:jmax, 0:kmax) :real(DP), intent(in ), optional
: $ hat{p} $ . æ°��� (���´æ�°ã������). Air pressure (half level)
xyzf_QMixRef(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(in ), optional
: $ q Delta p / g $ . ç©����¤ã���������層å����������³ª��. Reference specific mass of constituent in a layer
xyzf_DQMixDt(0:imax-1, 1:jmax, 1:kmax, 1:ncmax) :real(DP), intent(out ), optional
: $ DP{q}{t} $ . æ¯�湿è�æ­£ç�. Specific humidity correction

Williamson and Olson (1994) ���¹æ������, ������³ª���è£�æ­£ã���¾ã��. xyzf_QMixRef ��ä¸����������´å������, ����ç©����¤ã�� xyzf_QMixRef �������� �����������������æ­£ã���¾ã��. xyzf_QMixRef ��ä¸������������´å������, ����ç©����¤ã��è£�æ­£å���������� �����������������æ­£ã���¾ã��. xyzf_DQMixDt ���� xyz_QMix ��������è¿����¾ã��.

This routine fix masses of constituents following a method proposed by Williamson and Olson (1994). If xyzf_QMixRef is given, the mass is fixed to match its global integrated value is the same as that of xyzf_QMixRef. If xyzf_QMixRef is not given, the mass is fixed to match its global integrated value is the same as that of pre-fixed value. Variation of xyzf_QMix is returned to xyz_DQMixDt.

[Source]

  subroutine MassFixerWO94( xyr_Press, xyzf_QMix, xyr_PressRef, xyzf_QMixRef, xyzf_DQMixDt )
    !
    ! Williamson and Olson (1994) ���¹æ������, ������³ª���è£�æ­£ã���¾ã��. 
    ! *xyzf_QMixRef* ��ä¸����������´å������, ����ç©����¤ã�� *xyzf_QMixRef* ��������
    ! �����������������æ­£ã���¾ã��. 
    ! *xyzf_QMixRef* ��ä¸������������´å������, ����ç©����¤ã��è£�æ­£å����������
    ! �����������������æ­£ã���¾ã��. 
    ! *xyzf_DQMixDt* ���� *xyz_QMix* ��������è¿����¾ã��. 
    !
    ! This routine fix masses of constituents following a method proposed by 
    ! Williamson and Olson (1994).
    ! If *xyzf_QMixRef* is given, the mass is fixed to match its global 
    ! integrated value is the same as that of *xyzf_QMixRef*.
    ! If *xyzf_QMixRef* is not given, the mass is fixed to match its global 
    ! integrated value is the same as that of pre-fixed value. 
    ! Variation of *xyzf_QMix* is returned to *xyz_DQMixDt*. 
    !

    ! �¢ã�¸ã�¥ã�¼ã����� ; USE statements
    !

    ! �����»æ�°å­¦å®��°è¨­å®�
    ! Physical and mathematical constants settings
    !
    use constants0, only: PI                    ! $ \pi $.
                              ! �����. Circular constant

    ! ����å®��°è¨­å®�
    ! Physical constants settings
    !
    use constants, only: Grav ! $ g $ [m s-2].
                              ! ���������.
                              ! Gravitational acceleration
    ! 座æ����¼ã�¿è¨­å®�
    ! Axes data settings
    !
    use axesset, only: x_Lon, y_Lat, z_Sigma

    ! ç©�����¹³������ä½�
    ! Operation for integral and average
    !
    use intavr_operate, only: IntLonLat_xy

    ! ���»ç���
    ! Time control
    !
    use timeset, only: DelTime, TimesetClockStart, TimesetClockStop

    ! çµ������¢ã���������¨­å®�
    ! Settings of array for atmospheric composition
    !
    use composition, only: CompositionInqFlagMassFix


    ! 宣�� ; Declaration statements
    !
    implicit none
    real(DP), intent(in   )          :: xyr_Press   (0:imax-1, 1:jmax, 0:kmax)
                              ! $ \hat{p} $ . æ°��� (���´æ�°ã������). 
                              ! Air pressure (half level)
    real(DP), intent(inout)          :: xyzf_QMix   (0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ q $ .     ��. Specific humidity
    real(DP), intent(in   ), optional:: xyr_PressRef(0:imax-1, 1:jmax, 0:kmax)
                              ! $ \hat{p} $ . æ°��� (���´æ�°ã������). 
                              ! Air pressure (half level)
    real(DP), intent(in   ), optional:: xyzf_QMixRef(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ q \Delta p / g $ . ç©����¤ã���������層å����������³ª��. 
                              ! Reference specific mass of constituent in a layer
    real(DP), intent(out  ), optional:: xyzf_DQMixDt(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ \DP{q}{t} $ .  æ¯�湿è�æ­£ç�. 
                              ! Specific humidity correction

    ! �業��
    ! Work variables
    !
    real(DP):: xyzf_QMixRefLV(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! $ q $ . 層å����������··��æ¯�. 
                              ! Reference specific mass of constituent (local value)

    real(DP):: xyzf_QMixBefCor   (0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
                              ! ä¿�­£�����æ¹�.
                              ! Specific humidity before correction. 
    real(DP):: xyz_DelMass       (0:imax-1, 1:jmax, 1:kmax)
                              ! $ \Delta p / g $
                              ! 
    real(DP):: xyz_DelMassRef    (0:imax-1, 1:jmax, 1:kmax)
                              ! $ \Delta p / g $ of reference
                              ! 

    real(DP):: xy_FactAlphaNumer(0:imax-1, 1:jmax)
    real(DP):: xy_FactAlphaDenom(0:imax-1, 1:jmax)
    real(DP):: FactAlphaNumer
    real(DP):: FactAlphaDenom
    real(DP):: FactAlpha
    real(DP), parameter:: FactBeta = 1.5_DP

    real(DP):: xy_SumB(0:imax-1, 1:jmax)
    real(DP):: xy_SumA(0:imax-1, 1:jmax)
    real(DP):: SumB
    real(DP):: SumA
    real(DP):: Factor


    integer:: i               ! çµ�åº��¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in longitudinal direction
    integer:: j               ! ç·�º¦�¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in latitudinal direction
    integer:: k               ! ���´æ�¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in vertical direction
    integer:: n               ! çµ����¹å�������� DO ���¼ã�����業å���
                              ! Work variables for DO loop in dimension of constituents

    ! ���� ; Executable statement
    !

    ! ������確è�
    ! Initialization check
    !
    if ( .not. mass_fixer_inited ) then
      call MessageNotify( 'E', module_name, 'This module has not been initialized.' )
    end if


    ! �����������
    ! Start measurement of computation time
    !
    call TimesetClockStart( module_name )


    ! Check arguments
    !
    if ( present( xyr_PressRef ) .or. present( xyzf_QMixRef ) ) then
      if ( .not. ( present( xyr_PressRef ) .and. present( xyzf_QMixRef ) ) ) then
        call MessageNotify( 'E', module_name, 'If xyr_PressRef or xyzf_QMixRef is given, both have to be given.' )
      end if
    end if


    ! Backup of a variable
    if ( present( xyzf_DQMixDt ) ) then
      xyzf_QMixBefCor = xyzf_QMix
    end if

    ! Preparation of variable for reference
    if ( present( xyzf_QMixRef ) ) then
      xyzf_QMixRefLV = xyzf_QMixRef
    else
      xyzf_QMixRefLV = xyzf_QMix
    end if


    do k = 1, kmax
      xyz_DelMass(:,:,k) = ( xyr_Press(:,:,k-1) - xyr_Press(:,:,k) ) / Grav
    end do

    if ( present( xyr_PressRef ) ) then
      do k = 1, kmax
        xyz_DelMassRef(:,:,k) = ( xyr_PressRef(:,:,k-1) - xyr_PressRef(:,:,k) ) / Grav
      end do
    else
      xyz_DelMassRef = xyz_DelMass
    end if


    ! Fill grids with negative values
    xyzf_QMix = max( xyzf_QMix, 0.0_DP )


    ! loop for constituents
    do n = 1, ncmax

      if ( CompositionInqFlagMassFix( n ) ) then

        ! 
        ! Calculation of factor, alpha
        !
        xy_FactAlphaNumer = 0.0_DP
        xy_FactAlphaDenom = 0.0_DP
        do k = kmax, 1, -1
          xy_FactAlphaNumer = xy_FactAlphaNumer + xyzf_QMixRefLV(:,:,k,n) * xyz_DelMassRef(:,:,k) - xyzf_QMix     (:,:,k,n) * xyz_DelMass     (:,:,k)
          xy_FactAlphaDenom = xy_FactAlphaDenom + xyzf_QMix   (:,:,k,n) * abs( xyzf_QMix(:,:,k,n) - xyzf_QMixRefLV(:,:,k,n) )**FactBeta * xyz_DelMass(:,:,k)
        end do
        FactAlphaNumer = IntLonLat_xy( xy_FactAlphaNumer )
        FactAlphaDenom = IntLonLat_xy( xy_FactAlphaDenom )
        if ( FactAlphaDenom /= 0.0_DP ) then
          FactAlpha = FactAlphaNumer / FactAlphaDenom
        else
          FactAlpha = 0.0_DP
        end if

        xyzf_QMix(:,:,:,n) = xyzf_QMix(:,:,:,n) + FactAlpha * xyzf_QMix(:,:,:,n) * abs( xyzf_QMix(:,:,:,n) - xyzf_QMixRefLV(:,:,:,n) )**FactBeta

      end if

    end do

    ! �湿�������
    ! Calculate specific humidity variance
    !
    if ( present( xyzf_DQMixDt ) ) then
      xyzf_DQMixDt = ( xyzf_QMix - xyzf_QMixBefCor ) / ( 2.0_DP * DelTime )
    end if


    ! Ensure non-negative values
    ! This procedure is not included in Williams and Olson (1994).
    do n = 1, ncmax
      if ( CompositionInqFlagMassFix( n ) ) then
        xyzf_QMix(:,:,:,n) = max( xyzf_QMix(:,:,:,n), 0.0_DP )
        xy_SumB = 0.0_DP
        xy_SumA = 0.0_DP
        do k = kmax, 1, -1
          xy_SumB = xy_SumB + xyzf_QMixRefLV(:,:,k,n) * xyz_DelMassRef(:,:,k)
          xy_SumA = xy_SumA + xyzf_QMix     (:,:,k,n) * xyz_DelMass   (:,:,k)
        end do
        SumB = IntLonLat_xy( xy_SumB )
        SumA = IntLonLat_xy( xy_SumA )
        if ( SumA == 0.0_DP ) then
          Factor = 0.0_DP
        else if ( SumA < 0.0_DP ) then
          call MessageNotify( 'M', module_name, 'WO94: n = %d, SumA is negative, %f.', i = (/ n /), d = (/ SumA /) )
          Factor = 0.0_DP
        else
          if ( SumB < 0.0_DP ) then
            call MessageNotify( 'M', module_name, 'WO94: n = %d, SumB is negative, %f.', i = (/ n /), d = (/ SumB /) )
            Factor = 0.0_DP
          else
            Factor = SumB / SumA
          end if
        end if
        xyzf_QMix(:,:,:,n) = Factor * xyzf_QMix(:,:,:,n)
      end if
    end do


    ! This is not required.
    do n = 1, ncmax
      if ( CompositionInqFlagMassFix( n ) ) then
        do k = 1, kmax
          do j = 1, jmax
            do i = 0, imax-1
              if ( xyzf_QMix(i,j,k,n) < 0.0_DP ) then
                call MessageNotify( 'M', module_name, 'WO94: Negative at (%f,%f,%f,%d), Val = %f.', d = (/ x_Lon(i)*180.0_DP/PI,  y_Lat(j)*180.0_DP/PI, z_Sigma(k), xyzf_QMix(i,j,k,n) /), i = (/ n /) )
              end if
            end do
          end do
        end do
      end if
    end do


    ! ��������������
    ! Pause measurement of computation time
    !
    call TimesetClockStop( module_name )

  end subroutine MassFixerWO94

Private Instance methods

mass_fixer_inited
Variable :
mass_fixer_inited = .false. :logical, save
: ����設������. Initialization flag
module_name
Constant :
module_name = ‘mass_fixer‘ :character(*), parameter
: �¢ã�¸ã�¥ã�¼ã������ç§�. Module name
version
Constant :
version = ’$Name: $’ // ’$Id: mass_fixer.f90,v 1.14 2014/06/29 07:20:43 yot Exp $’ :character(*), parameter
: �¢ã�¸ã�¥ã�¼ã�������¼ã�¸ã�§ã�� Module version