A friend of mine runs a pharmacy.   He has a specialized function in his Dispensary application which receives a decimal value of currency and replaces it to a standard value.   This value is regulated by a government department.



Task

Given a floating point value between   0.00   and   1.00,   rescale according to the following table:

>=  0.00  <  0.06  :=  0.10
>=  0.06  <  0.11  :=  0.18
>=  0.11  <  0.16  :=  0.26
>=  0.16  <  0.21  :=  0.32
>=  0.21  <  0.26  :=  0.38
>=  0.26  <  0.31  :=  0.44
>=  0.31  <  0.36  :=  0.50
>=  0.36  <  0.41  :=  0.54
>=  0.41  <  0.46  :=  0.58
>=  0.46  <  0.51  :=  0.62
>=  0.51  <  0.56  :=  0.66
>=  0.56  <  0.61  :=  0.70
>=  0.61  <  0.66  :=  0.74
>=  0.66  <  0.71  :=  0.78
>=  0.71  <  0.76  :=  0.82
>=  0.76  <  0.81  :=  0.86
>=  0.81  <  0.86  :=  0.90
>=  0.86  <  0.91  :=  0.94
>=  0.91  <  0.96  :=  0.98
>=  0.96  <  1.01  :=  1.00



let cin = [ 0.06m .. 0.05m ..1.01m ]
let cout = [0.1m; 0.18m] @ [0.26m .. 0.06m .. 0.44m] @ [0.50m .. 0.04m .. 0.98m] @ [1.m]
 
let priceadjuster p =
    let rec bisect lo hi = 
        if lo < hi then
            let mid = (lo+hi)/2.
            let left = p < cin.[int mid]
            bisect (if left then lo else mid+1.) (if left then mid else hi)
        else lo    
 
    if p < 0.m || 1.m < p then p
    else cout.[int (bisect 0. (float cin.Length))]
 
[ 0.m .. 0.01m .. 1.m ]
|> Seq.ofList
|> Seq.iter (fun p -> printfn "%.2f -> %.2f" p (priceadjuster p))