#include "cctk.h"
#include "cctk_Functions.h"
#include "cctk_Parameters.h"

subroutine set_coeff_4_3 ( nsize, loc_order, bb, gsize, imin, imax, dd )

  implicit none

  DECLARE_CCTK_FUNCTIONS
  DECLARE_CCTK_PARAMETERS

  CCTK_REAL, parameter :: zero = 0.0
  integer, parameter :: wp = kind(zero)
  CCTK_INT, intent(IN) :: nsize, loc_order
  CCTK_INT, dimension(2), intent(IN) :: bb
  CCTK_INT, intent(IN) :: gsize
  CCTK_INT, dimension(nsize), intent(OUT) :: imin, imax
  CCTK_REAL, dimension(nsize,nsize), intent(OUT) :: dd

  CCTK_REAL, dimension(2), save :: a
  CCTK_REAL, dimension(7,5), save :: q 
  CCTK_REAL :: f0, f1, f2, f3

  CCTK_INT :: i, il, ir

  logical, save :: first = .true.

  if ( first ) then
    a(1) = 2.0_wp/3.0_wp; a(2) = -1.0_wp/12.0_wp

    f0 = sqrt(26116897.0_wp)
    f1 = -56764003702447356523.0_wp + 8154993476273221.0_wp * f0
    f2 = -55804550303.0_wp + 9650225.0_wp * f0
    f3 = 3262210757.0_wp + 271861.0_wp * f0

    q(1,1) = -11._wp/6.0_wp; q(2,1) = 3.0_wp
    q(3,1) = -3.0_wp/2.0_wp; q(4,1) = 1.0_wp/3.0_wp
    q(5,1) = zero; q(6,1) = zero; q(7,1) = zero

    q(1,2) =  -24.0_wp * ( -779042810827742869.0_wp + &
                            104535124033147.0_wp * f0 ) / f1
    q(2,2) = -( -176530817412806109689.0_wp + &
                 29768274816875927.0_wp * f0 ) / ( 6.0_wp * f1 )
    q(3,2) = 343.0_wp * ( -171079116122226871.0_wp + &
                           27975630462649.0_wp * f0 ) / f1
    q(4,2) = -3.0_wp * ( -7475554291248533227.0_wp + &
                          1648464218793925.0_wp * f0 ) / ( 2.0_wp * f1 )
    q(5,2) = ( -2383792768180030915.0_wp + &
                1179620587812973.0_wp * f0 ) / ( 3.0_wp * f1 )
    q(6,2) = -1232.0_wp * ( -115724529581315.0_wp + 37280576429.0_wp * f0 ) / f1
    q(7,2) = zero

    q(1,3) = -12.0_wp * ( -380966843.0_wp + 86315.0_wp * f0 ) / f2
    q(2,3) = ( 5024933015.0_wp + 2010631.0_wp * f0 ) / ( 3.0_wp * f2 )
    q(3,3) = -231.0_wp * ( -431968921.0_wp + 86711.0_wp * f0 ) / ( 2.0_wp * f2 )
    q(4,3) = ( -65931742559.0_wp + 12256337.0_wp * f0 ) / f2
    q(5,3) = -( -50597298167.0_wp + 9716873.0_wp * f0 ) / ( 6.0_wp * f2 )
    q(6,3) = -88.0_wp * ( -15453061.0_wp + 2911.0_wp * f0 ) / f2
    q(7,3) = zero

    q(1,4) = 48.0_wp * ( -56020909845192541.0_wp + &
                          9790180507043.0_wp * f0 ) / f1
    q(2,4) = ( -9918249049237586011.0_wp + &
                1463702013196501.0_wp * f0 ) / ( 6.0_wp * f1)
    q(3,4) = -13.0_wp * ( -4130451756851441723.0_wp + &
                           664278707201077.0_wp * f0 ) / f1
    q(4,4) = 3.0_wp * ( -26937108467782666617.0_wp + &
                         5169063172799767.0_wp * f0 ) / ( 2.0_wp * f1 )
    q(5,4) = -( 6548308508012371315.0_wp + &
                3968886380989379.0_wp * f0 ) / ( 3.0_wp * f1 )
    q(6,4) = 88.0_wp * ( -91337851897923397.0_wp + &
                          19696768305507.0_wp * f0 ) / f1
    q(7,4) = 242.0_wp * ( -120683.0_wp + 15.0_wp * f0 ) / f3

    q(1,5) = 264.0_wp * ( -120683.0_wp + 15.0_wp * f0 ) / f3
    q(2,5) = ( -43118111.0_wp + 23357.0_wp * f0 ) / ( 3.0_wp * f3 )
    q(3,5) = -47.0_wp * ( -28770085.0_wp + 2259.0_wp * f0 ) / ( 2.0_wp * f3 ) 
    q(4,5) = -3.0_wp * ( 1003619433.0_wp + 11777.0_wp * f0 ) / f3
    q(5,5) = -11.0_wp * ( -384168269.0_wp + 65747.0_wp * f0 ) / ( 6.0_wp * f3 )
    q(6,5) = 22.0_wp * ( 87290207.0_wp + 10221.0_wp * f0 ) / f3
    q(7,5) = -66.0_wp * ( 3692405.0_wp + 419.0_wp * f0 ) / f3
    first = .false.
  end if

  dd = zero
  imin = 0
  imax = -1

  if ( bb(1) == 0 ) then
    il = 1 + gsize
  else
    dd(1:4,1) = q(1:4,1)
    imin(1) = 1; imax(1) = 4

    dd(1:6,2) = q(1:6,2)
    imin(2) = 1; imax(2) = 6

    dd(1:6,3) = q(1:6,3)
    imin(3) = 1; imax(3) = 6

    dd(1:7,4) = q(1:7,4)
    imin(4) = 1; imax(4) = 7

    dd(1:7,5) = q(1:7,5)
    imin(5) = 1; imax(5) = 7

    il = 6
  end if
  if ( bb(2) == 0 ) then
    ir = nsize - gsize
  else
    dd(nsize-6:nsize,nsize-4) = -q(7:1:-1,5)
    imin(nsize-4) = nsize-6; imax(nsize-4) = nsize

    dd(nsize-6:nsize,nsize-3) = -q(7:1:-1,4)
    imin(nsize-3) = nsize-6; imax(nsize-3) = nsize
   
    dd(nsize-5:nsize,nsize-2) = -q(6:1:-1,3)
    imin(nsize-2) = nsize-5; imax(nsize-2) = nsize

    dd(nsize-5:nsize,nsize-1) = -q(6:1:-1,2)
    imin(nsize-1) = nsize-5; imax(nsize-1) = nsize

    dd(nsize-3:nsize,nsize) = -q(4:1:-1,1)
    imin(nsize) = nsize-3; imax(nsize) = nsize

    ir = nsize - 5
  end if
  do i = il, ir
    dd(i-2:i-1,i) = -a(2:1:-1); dd(i+1:i+2,i) = a(1:2)
    imin(i) = i-2; imax(i) = i+2
  end do
end subroutine set_coeff_4_3