! $Id: aw_lib_array.f90 3878 2020-06-18 20:05:19Z mino $
!
!
!
!

module aw_lib_array
  use lib_array,only: &
      locate &
      , interp2d , interp1d
      
  implicit none
  save
  private
  integer,parameter :: idp = selected_int_kind(13)
  integer,parameter :: sp = selected_real_kind(p=6,r=37)
  integer,parameter :: dp = selected_real_kind(p=15,r=307)

  public:: nearest_bin_4d_sp
  public :: interp4d
  public :: interp3d
  
  
  interface interp4d
    module procedure interp4d_sp
    module procedure interp4d_dp
  end interface interp4d
  
  
  interface interp3d
    module procedure interp3d_sp
    module procedure interp3d_dp
  end interface interp3d
  


contains
 
  
  function interp4d_dp(w,x,y,z,array,w0,x0,y0,z0,bounds_error,fill_value) result(value)
    ! Bilinar interpolation of array = f(w,x,y,z) at (w0,x0,y0,z0)

    implicit none

    real(dp),intent(in) :: w(:),x(:),y(:),z(:),array(:,:,:,:),w0,x0,y0,z0

    logical,intent(in),optional :: bounds_error
    ! whether to raise an out of bounds error

    real(dp),intent(in),optional :: fill_value
    ! value for out of bounds if bounds_error is .false.

    real(dp) :: value,norm
    integer :: i1,i2,j1,j2
    integer :: k1,k2,m1,m2
    
    logical :: bounds_error_tmp
    real(dp) :: fill_value_tmp
    
    integer :: ii,jj
    real(dp),allocatable :: temp_array_2d_interp(:,:)
    real(dp),allocatable :: temp_2d(:,:)
    
   
    
    if(present(bounds_error)) then
       bounds_error_tmp = bounds_error
    else
       bounds_error_tmp = .true.
    end if

    if(.not.bounds_error_tmp) then
       if(present(fill_value)) then
          fill_value_tmp = fill_value
       else
          fill_value_tmp = 0._dp
       end if
    end if
    
    fill_value_tmp = -999.
    bounds_error_tmp = .false.
  
    if(size(w).ne.size(array,1)) stop "w does not match array"
    if(size(x).ne.size(array,2)) stop "aw_lib_array.f90: x does not match array"
    if(size(y).ne.size(array,3)) stop "y does not match array"
    if(size(z).ne.size(array,4)) stop "z does not match array"  
     
    !print*,'inside interp4d_dp'
    
    
    i1 = locate(w,w0) ; i2 = i1 + 1
    j1 = locate(x,x0) ; j2 = j1 + 1
    k1 = locate(y,y0) ; k2 = k1 + 1
    m1 = locate(z,z0) ; m2 = m1 + 1

    if(i1==-1) then
       if(bounds_error_tmp) then
          write(0,'("ERROR: Interpolation out of bounds 4D w : ",ES11.4," in [",ES11.4,":",ES11.4,"]")') w0,w(1),w(size(w))
          stop
       else
          value = fill_value_tmp
          return
       end if
    end if

 if(j1==-1) then
       if(bounds_error_tmp) then
          write(0,'("ERROR: Interpolation out of bounds : ",ES11.4," in [",ES11.4,":",ES11.4,"]")') x0,x(1),x(size(x))
          stop
       else
          value = fill_value_tmp
          return
       end if
    end if
    
    
       if(k1==-1) then
       if(bounds_error_tmp) then
          write(0,'("ERROR: Interpolation out of bounds : ",ES11.4," in [",ES11.4,":",ES11.4,"]")') y0,y(1),y(size(y))
          stop
       else
          value = fill_value_tmp
          return
       end if
    end if

 if(m1==-1) then
       if(bounds_error_tmp) then
          write(0,'("ERROR: Interpolation out of bounds : ",ES11.4," in [",ES11.4,":",ES11.4,"]")') z0,z(1),z(size(z))
          stop
       else
          value = fill_value_tmp
          return
       end if
    end if
    
   
    ! first reduce from 4d to 2d
    allocate ( temp_array_2d_interp(size(w),size(x))  )
    allocate ( temp_2d(size(y),size(z))  )
    do ii = 1, size(w)
      do jj = 1, size(x)
      
         temp_2d = array(ii,jj,:,:)
      
         temp_array_2d_interp(ii,jj) = interp2d (y,z,temp_2d , y0,z0,bounds_error=bounds_error_tmp,fill_value = fill_value)
        
      end do
    end do   
    
    value = interp2d (w,x,temp_array_2d_interp,w0,x0,bounds_error=bounds_error_tmp,fill_value = fill_value)
   

    end function interp4d_dp
  
   function interp4d_sp(w,x,y,z,array,w0,x0,y0,z0,bounds_error,fill_value) result(value)
    ! Bilinar interpolation of array = f(w,x,y,z) at (w0,x0,y0,z0)

    implicit none

    real(sp),intent(in) :: w(:),x(:),y(:),z(:),array(:,:,:,:),w0,x0,y0,z0

    logical,intent(in),optional :: bounds_error
    ! whether to raise an out of bounds error

    real(sp),intent(in),optional :: fill_value
    ! value for out of bounds if bounds_error is .false.

    real(sp) :: value,norm
    integer :: i1,i2,j1,j2
    integer :: k1,k2,m1,m2
    real(sp) :: ww,xx,yy,zz
    
    logical :: bounds_error_tmp
    real(dp) :: fill_value_tmp
    
    
    
    real(sp) :: t4d ( 2,2,2,2)
    
    !print*,'w',w
    !print*,'x',x
    !print*,'y',y
    !print*,'z',z
    !print*,'w0',w0
    !print*,'x0',x0
    !print*,'y0',y0
    !print*,'z0',z0
    
     
    !print*,'inside interp4d_sp'
    

    if(present(bounds_error)) then
       bounds_error_tmp = bounds_error
    else
       bounds_error_tmp = .true.
    end if

    if(.not.bounds_error_tmp) then
       if(present(fill_value)) then
          fill_value_tmp = fill_value
       else
          fill_value_tmp = 0._dp
       end if
    end if
        fill_value_tmp = -999.
    bounds_error_tmp = .false.
    
    !print*,'shape array',shape(array)
    !print*,'shape of w',shape(w)
    !print*,'w',w
    !print*,'w0',w0
    !print*,'x',x
    !print*,'y',y
    !print*,'z',z
    !print*,'x0',x0
    !print*,'y0',y0
    !print*,'z0',z0
    ! the problem in going back and forth of land and ocean
    
    if(size(w).ne.size(array,1)) stop "w does not match array in 4d_interp line 206"
    if(size(x).ne.size(array,2)) stop "x does not match array in 4d_interp"
    if(size(y).ne.size(array,3)) stop "y does not match array in 4d_interp"
    if(size(z).ne.size(array,4)) stop "z does not match array in 4d_interp"  
   
    i1 = locate(w,w0) ; i2 = i1 + 1
    j1 = locate(x,x0) ; j2 = j1 + 1
    k1 = locate(y,y0) ; k2 = k1 + 1
    m1 = locate(z,z0) ; m2 = m1 + 1

    if(i1==-1) then
       if(bounds_error_tmp) then
          write(0,'("ERROR: Interpolation out of bounds 1.DIM : ",ES11.4," in [",ES11.4,":",ES11.4,"]")') w0,w(1),w(size(w))
          stop
       else
          value = fill_value_tmp
          return
       end if
    end if

 if(j1==-1) then
       if(bounds_error_tmp) then
          write(0,'("ERROR: Interpolation out of bounds 2.DIM: ",ES11.4," in [",ES11.4,":",ES11.4,"]")') x0,x(1),x(size(x))
          stop
       else
          value = fill_value_tmp
          return
       end if
    end if
    
    
       if(k1==-1) then
       if(bounds_error_tmp) then
          write(0,'("ERROR: Interpolation out of bounds 3.DIM: ",ES11.4," in [",ES11.4,":",ES11.4,"]")') y0,y(1),y(size(y))
          stop
       else
          value = fill_value_tmp
          return
       end if
    end if

 if(m1==-1) then
       if(bounds_error_tmp) then
          write(0,'("ERROR: Interpolation out of bounds 4.DIM: ",ES11.4," in [",ES11.4,":",ES11.4,"]")') z0,z(1),z(size(z))
          stop
       else
          value = fill_value_tmp
          return
       end if
    end if
    
   
   
  
    t4d = array(i1:i2,j1:j2,k1:k2,m1:m2)
    
    
    ww = (w0 - w(i1) ) / (w(i2) - w(i1))
    xx = (x0 - x(j1) ) / (x(j2) - x(j1))
    yy = (y0 - y(k1) ) / (y(k2) - y(k1))
    zz = (z0 - z(m1) ) / (z(m2) - z(m1))
    
    value = t4d(1,1,1,1) * ( 1 - ww ) * ( 1 - xx ) * ( 1 - yy ) * ( 1 - zz) + &
            t4d(1,1,1,2) * ( 1 - ww ) * ( 1 - xx ) * ( 1 - yy ) * (  zz) + &
            t4d(1,1,2,1) * ( 1 - ww ) * ( 1 - xx ) * ( yy ) * ( 1 - zz) + &
            t4d(1,1,2,2) * ( 1 - ww ) * ( 1 - xx ) * (  yy ) * (  zz) + &
                        
            t4d(1,2,1,1) * ( 1 - ww ) * (  xx ) * ( 1 - yy ) * ( 1 - zz) + &
            t4d(1,2,1,2) * ( 1 - ww ) * (  xx ) * ( 1 - yy ) * ( zz) + &
            t4d(1,2,2,1) * ( 1 - ww ) * (  xx ) * ( yy ) * ( 1 - zz) + &
            t4d(1,2,2,2) * ( 1 - ww ) * (  xx ) * ( yy ) * (  zz) + &
            
            t4d(2,1,1,1) * ( ww ) * ( 1 - xx ) * ( 1 - yy ) * ( 1 - zz) + &
            t4d(2,1,1,2) * ( ww ) * ( 1 - xx ) * ( 1 - yy ) * (  zz) + &
            t4d(2,1,2,1) * ( ww ) * ( 1 - xx ) * ( yy ) * ( 1 - zz) + &
            t4d(2,1,2,2) * ( ww ) * ( 1 - xx ) * (  yy ) * ( zz) + &                            
            
            
            t4d(2,2,1,1) * ( ww ) * ( xx ) * ( 1 - yy ) * ( 1 - zz) + &
            t4d(2,2,1,2) * ( ww ) * ( xx ) * ( 1 - yy ) * (  zz) + &
            t4d(2,2,2,1) * ( ww ) * ( xx ) * ( yy ) * ( 1 - zz) + &
            t4d(2,2,2,2) * ( ww ) * ( xx ) * (  yy ) * (  zz) 
  
   
          

  end function interp4d_sp
  
 function nearest_bin_4d_sp(w,x,y,z,array,w0,x0,y0,z0,bounds_error,fill_value) result(value)
    ! Bilinar interpolation of array = f(w,x,y,z) at (w0,x0,y0,z0)

    implicit none

    real(sp),intent(in) :: w(:),x(:),y(:),z(:),array(:,:,:,:),w0,x0,y0,z0

    logical,intent(in),optional :: bounds_error
    ! whether to raise an out of bounds error

    real(sp),intent(in),optional :: fill_value
    ! value for out of bounds if bounds_error is .false.

    real(sp) :: value,norm
    integer :: i1,i2,j1,j2
    integer :: k1,k2,m1,m2
    
    logical :: bounds_error_tmp
    real(dp) :: fill_value_tmp
    
    integer :: ii,jj
    real(sp),allocatable :: temp_array_2d_interp(:,:)
    real(sp),allocatable :: array_temp(:,:)

    if(present(bounds_error)) then
       bounds_error_tmp = bounds_error
    else
       bounds_error_tmp = .true.
    end if

    if(.not.bounds_error_tmp) then
       if(present(fill_value)) then
          fill_value_tmp = fill_value
       else
          fill_value_tmp = 0._dp
       end if
    end if
        fill_value_tmp = -999.
    bounds_error_tmp = .false.
    if(size(w).ne.size(array,1)) stop "w does not match array in 4d_interp line 333"
    if(size(x).ne.size(array,2)) stop "x does not match array in 4d_interp"
    if(size(y).ne.size(array,3)) stop "y does not match array in 4d_interp"
    if(size(z).ne.size(array,4)) stop "z does not match array in 4d_interp"  
   
    i1 = locate(w,w0) ; i2 = i1 + 1
    j1 = locate(x,x0) ; j2 = j1 + 1
    k1 = locate(y,y0) ; k2 = k1 + 1
    m1 = locate(z,z0) ; m2 = m1 + 1

    if(i1==-1) then
       if(bounds_error_tmp) then
          write(0,'("ERROR: Interpolation out of bounds 1.DIM : ",ES11.4," in [",ES11.4,":",ES11.4,"]")') w0,w(1),w(size(w))
          stop
       else
          value = fill_value_tmp
          return
       end if
    end if

 if(j1==-1) then
       if(bounds_error_tmp) then
          write(0,'("ERROR: Interpolation out of bounds 2.DIM: ",ES11.4," in [",ES11.4,":",ES11.4,"]")') x0,x(1),x(size(x))
          stop
       else
          value = fill_value_tmp
          return
       end if
    end if
    
    
       if(k1==-1) then
       if(bounds_error_tmp) then
          write(0,'("ERROR: Interpolation out of bounds 3.DIM: ",ES11.4," in [",ES11.4,":",ES11.4,"]")') y0,y(1),y(size(y))
          stop
       else
          value = fill_value_tmp
          return
       end if
    end if

  if(m1==-1) then
       if(bounds_error_tmp) then
          write(0,'("ERROR: Interpolation out of bounds 4.DIM: ",ES11.4," in [",ES11.4,":",ES11.4,"]")') z0,z(1),z(size(z))
          stop
       else
          value = fill_value_tmp
          return
       end if
    end if
    
   value  = array(i1,j1,k1,m1)
         
   
             

  end function nearest_bin_4d_sp
  
 !*********************************************************************************************************************************************** 
  
    function interp3d_dp(w,x,y,array,w0,x0,y0,bounds_error,fill_value) result(value)
    ! Bilinar interpolation of array = f(w,x,y) at (w0,x0,y0)

    implicit none

    real(dp),intent(in) :: w(:),x(:),y(:),array(:,:,:),w0,x0,y0

    logical,intent(in),optional :: bounds_error
    ! whether to raise an out of bounds error

    real(dp),intent(in),optional :: fill_value
    ! value for out of bounds if bounds_error is .false.

    real(dp) :: value,norm
    integer :: i1,i2,j1,j2
    integer :: k1,k2
    
    logical :: bounds_error_tmp
    real(dp) :: fill_value_tmp
    
    integer :: ii,jj
    real(dp),allocatable :: temp_array_2d_interp(:,:)
    real(dp),allocatable :: temp_2d(:,:)
    real(dp),allocatable :: temp_1d(:)
    
   
    
    if(present(bounds_error)) then
       bounds_error_tmp = bounds_error
    else
       bounds_error_tmp = .true.
    end if

    if(.not.bounds_error_tmp) then
       if(present(fill_value)) then
          fill_value_tmp = fill_value
       else
          fill_value_tmp = 0._dp
       end if
    end if
    
    fill_value_tmp = -999.
    bounds_error_tmp = .false.
  
    if(size(w).ne.size(array,1)) stop "w does not match array ?? why ? here"
    if(size(x).ne.size(array,2)) stop "aw_lib_array.f90: x does not match array"
    if(size(y).ne.size(array,3)) stop "y does not match array"
   
     
    !print*,'inside interp3d_dp'
    
    
    i1 = locate(w,w0) ; i2 = i1 + 1
    j1 = locate(x,x0) ; j2 = j1 + 1
    k1 = locate(y,y0) ; k2 = k1 + 1
   

    if(i1==-1) then
       if(bounds_error_tmp) then
          write(0,'("ERROR: Interpolation out of bounds 4D w : ",ES11.4," in [",ES11.4,":",ES11.4,"]")') w0,w(1),w(size(w))
          stop
       else
          value = fill_value_tmp
          return
       end if
    end if

 if(j1==-1) then
       if(bounds_error_tmp) then
          write(0,'("ERROR: Interpolation out of bounds : ",ES11.4," in [",ES11.4,":",ES11.4,"]")') x0,x(1),x(size(x))
          stop
       else
          value = fill_value_tmp
          return
       end if
    end if
    
    
       if(k1==-1) then
       if(bounds_error_tmp) then
          write(0,'("ERROR: Interpolation out of bounds : ",ES11.4," in [",ES11.4,":",ES11.4,"]")') y0,y(1),y(size(y))
          stop
       else
          value = fill_value_tmp
          return
       end if
    end if

 
   
    ! first reduce from 4d to 2d
    allocate ( temp_array_2d_interp(size(w),size(x))  )
    allocate ( temp_1d(size(y))  )
    do ii = 1, size(w)
      do jj = 1, size(x)
      
         temp_1d = array(ii,jj,:)
      
         temp_array_2d_interp(ii,jj) = interp1d (y,temp_1d,y0,bounds_error=bounds_error_tmp,fill_value = fill_value)
        
      end do
    end do   
    
    value = interp2d (w,x,temp_array_2d_interp,w0,x0,bounds_error=bounds_error_tmp,fill_value = fill_value)
   

    end function interp3d_dp
    
    !************************************************************
    
    function interp3d_sp(w,x,y,array,w0,x0,y0,bounds_error,fill_value) result(value)
    ! Bilinar interpolation of array = f(w,x,y) at (w0,x0,y0)

    implicit none

    real(sp),intent(in) :: w(:),x(:),y(:),array(:,:,:),w0,x0,y0

    logical,intent(in),optional :: bounds_error
    ! whether to raise an out of bounds error

    real(sp),intent(in),optional :: fill_value
    ! value for out of bounds if bounds_error is .false.

    real(sp) :: value,norm
    integer :: i1,i2,j1,j2
    integer :: k1,k2,mm
    real(sp) :: ww,xx,yy
    
    logical :: bounds_error_tmp
    real(dp) :: fill_value_tmp
    
    
  
    real(sp) :: t3d ( 2,2,2)
    
    !print*,'w',w
    !print*,'x',x
    !print*,'y',y
   
    !print*,'w0',w0
    !print*,'x0',x0
    !print*,'y0',y0
    
   
    !print*,'inside interp3d_sp'
    

    if(present(bounds_error)) then
       bounds_error_tmp = bounds_error
    else
       bounds_error_tmp = .true.
    end if

    if(.not.bounds_error_tmp) then
       if(present(fill_value)) then
          fill_value_tmp = fill_value
       else
          fill_value_tmp = 0._dp
       end if
    end if
        fill_value_tmp = -999.
    bounds_error_tmp = .false.
    
    if(size(w).ne.size(array,1)) stop "w does not match array in 3d_interp here line 558"
    if(size(x).ne.size(array,2)) stop "x does not match array in 3d_interp"
    if(size(y).ne.size(array,3)) stop "y does not match array in 3d_interp"
  
    i1 = locate(w,w0) ; i2 = i1 + 1
    j1 = locate(x,x0) ; j2 = j1 + 1
    k1 = locate(y,y0) ; k2 = k1 + 1
 

    if(i1==-1) then
       if(bounds_error_tmp) then
          write(0,'("ERROR: Interpolation out of bounds 1.DIM : ",ES11.4," in [",ES11.4,":",ES11.4,"]")') w0,w(1),w(size(w))
          stop
       else
          value = fill_value_tmp
          return
       end if
    end if

 if(j1==-1) then
       if(bounds_error_tmp) then
          write(0,'("ERROR: Interpolation out of bounds 2.DIM: ",ES11.4," in [",ES11.4,":",ES11.4,"]")') x0,x(1),x(size(x))
          stop
       else
          value = fill_value_tmp
          return
       end if
    end if
    
    
       if(k1==-1) then
       if(bounds_error_tmp) then
          write(0,'("ERROR: Interpolation out of bounds 3.DIM: ",ES11.4," in [",ES11.4,":",ES11.4,"]")') y0,y(1),y(size(y))
          stop
       else
          value = fill_value_tmp
          return
       end if
    end if

   
  
    t3d = array(i1:i2,j1:j2,k1:k2)
    
    
    ww = (w0 - w(i1) ) / (w(i2) - w(i1))
    xx = (x0 - x(j1) ) / (x(j2) - x(j1))
    yy = (y0 - y(k1) ) / (y(k2) - y(k1))
 
    value = t3d(1,1,1) * ( 1 - ww ) * ( 1 - xx ) * ( 1 - yy )  + &
            t3d(1,1,2) * ( 1 - ww ) * ( 1 - xx ) * ( yy )  + &
            t3d(1,2,1) * ( 1 - ww ) * ( xx ) * ( 1 - yy ) + &
            t3d(1,2,2) * ( 1 - ww ) * ( xx ) * ( yy )+ &
            t3d(2,1,1) * ( ww ) * ( 1 - xx ) * ( 1 - yy ) + &
            t3d(2,1,2) * ( ww ) * ( 1 - xx ) * ( yy )  + &
            t3d(2,2,1) * ( ww ) * ( xx ) * ( 1 - yy ) + &
            t3d(2,2,2) * ( ww ) * ( xx ) * (  yy )                             
   
   
   
   
   !print*,'value',value
   
   
  end function interp3d_sp
    
 

end module aw_lib_array