ascrv.f

      subroutine ascrv(x1,x2,x3,x4,x5,x6)

!!    ~ ~ ~ PURPOSE ~ ~ ~
!!    this subroutine computes shape parameters x5 and x6 for the S curve 
!!    equation x = y/(y + exp(x5 + x6*y)) given 2 (x,y) points along the curve.
!!    x5 is determined by solving the equation with x and y values measured 
!!    around the midpoint of the curve (approx. 50% of the maximum value for x)
!!    and x6 is determined by solving the equation with x and y values measured
!!    close to one of the endpoints of the curve (100% of the maximum value for
!!    x) This subroutine is called from readbsn.f and readcrop.f

!!    ~ ~ ~ INCOMING VARIABLES ~ ~ ~
!!    name        |units         |definition
!!    ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ 
!!    x1          |none          |value for x in the above equation for first
!!                               |datapoint, x1 should be close to 0.5 (the 
!!                               |midpoint of the curve)
!!    x2          |none          |value for x in the above equation for second
!!                               |datapoint, x2 should be close to 0.0 or 1.0
!!    x3          |none          |value for y in the above equation correspond-
!!                               |ing to x1
!!    x4          |none          |value for y in the above equation correspond-
!!                               |ing to x2
!!    ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ 

!!    ~ ~ ~ OUTGOING VARIABLES ~ ~ ~
!!    name        |units         |definition
!!    ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ 
!!    x5          |none          |1st shape parameter for S curve equation
!!                               |characterizing the midpoint of the curve
!!    x6          |none          |2nd shape parameter for S curve equation
!!                               |characterizing the regions close to the
!!                               |endpoints of the curve
!!    ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ 

!!    ~ ~ ~ LOCAL DEFINITIONS ~ ~ ~
!!    name        |units         |definition
!!    ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ 
!!    xx          |none          |temp variable, used to hold calculated
!!                               |value needed in later equations
!!    ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ 

!!    ~ ~ ~ SUBROUTINES/FUNCTIONS CALLED ~ ~ ~
!!    Intrinsic: Log     

!!    ~ ~ ~ ~ ~ ~ END SPECIFICATIONS ~ ~ ~ ~ ~ ~
      real :: xx

      real, intent (in) :: x1, x2, x3, x4
      real, intent (out) :: x5, x6
      
      xx = 0.0
      x5 = 0.0
      x6 = 0.0

      xx = Log(x3/x1 - x3)
      x6 = (xx - Log(x4/x2 - x4)) / (x4 - x3)
      x5 = xx + (x3 * x6)


      return
      end