How to resolve the algorithm Map range step by step in the OCaml programming language

Published on 12 May 2024 09:40 PM
#Ocaml

How to resolve the algorithm Map range step by step in the OCaml programming language

Table of Contents

Problem Statement

Given two ranges:   where:

Write a function/subroutine/... that takes two ranges and a real number, and returns the mapping of the real number from the first to the second range. Use this function to map values from the range   [0, 10]   to the range   [-1, 0].

Show additional idiomatic ways of performing the mapping, using tools available to the language.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Map range step by step in the OCaml programming language

Source code in the ocaml programming language

let map_range (a1, a2) (b1, b2) s =
  b1 +. ((s -. a1) *. (b2 -. b1) /. (a2 -. a1))
 
let () =
  print_endline "Mapping [0,10] to [-1,0] at intervals of 1:";
  for i = 0 to 10 do
    Printf.printf "f(%d) = %g\n" i (map_range (0.0, 10.0) (-1.0, 0.0) (float i))
  done


let map_range (a1, a2) (b1, b2) =
  let v = (b2 -. b1) /. (a2 -. a1) in
  function s ->
    b1 +. ((s -. a1) *. v)
 
let () =
  print_endline "Mapping [0,10] to [-1,0] at intervals of 1:";
  let p = (map_range (0.0, 10.0) (-1.0, 0.0)) in
  for i = 0 to 10 do
    Printf.printf "f(%d) = %g\n" i (p (float i))
  done

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