OCaml : Fibonacci Sequence (#19)

* Create FibonacciSequence.ml

* Create README.md
* Update /README.md

Author: kimpro82

OCaml/FibonacciSequence.ml

@@ -0,0 +1,36 @@
+(* Fibonacci Sequence *)
+(* 2024.12.30 *)
+
+(* 1. Standard recursive method *)
+let rec fib_recursive n =
+  if n <= 2 then 1
+  else fib_recursive (n - 1) + fib_recursive (n - 2)
+
+(* 2. Tail recursive method *)
+let fib_tail_recursive n =
+  let rec aux n a b =
+    match n with
+    | 1 -> a
+    | 2 -> b
+    | _ -> aux (n - 1) b (a + b)
+  in aux n 1 1
+
+(* 3. Bottom-up method *)
+let fib_bottom_up n =
+  if n <= 2 then 1
+  else
+    let rec loop a b count =
+      if count = n then b
+      else loop b (a + b) (count + 1)
+    in loop 1 1 2
+
+(* Function to print Fibonacci sequences *)
+let print_fib_sequence name sequence =
+  Printf.printf "%s : %s\n" name (String.concat ", " (List.map string_of_int sequence))
+
+(* Calculate and print the first 10 terms of the Fibonacci sequence using each method *)
+let () =
+  let range = List.init 10 (fun x -> x + 1) in
+  print_fib_sequence "Standard Recursive Method" (List.map fib_recursive range);
+  print_fib_sequence "Tail Recursive Method    " (List.map fib_tail_recursive range);
+  print_fib_sequence "Bottom-up Method         " (List.map fib_bottom_up range)

OCaml/README.md

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+# [My OCaml Practice](../README.md#my-ocaml-practice)
+
+
+### References
+
+- https://ocaml.org/
+- https://en.wikipedia.org/wiki/OCaml
+
+
+### \<Note>
+
+- Execute using *Version 5.0.0* in [JDoodle](https://www.jdoodle.com/compile-ocaml-online), unless otherwise specified
+
+
+### \<List>
+
+- [Fibonacci Sequence (2024.12.30)](#fibonacci-sequence-20241230)
+
+
+## [Fibonacci Sequence (2024.12.30)](#list)
+
+- Generate the Fibonacci sequence using regular recursive, tail-recursive and botthom-up methods
+- Code and Output
+  <details>
+    <summary>Code : FibonacciSequence.ml</summary>
+
+  ```ocaml
+  (* 1. Standard recursive method *)
+  let rec fib_recursive n =
+    if n <= 2 then 1
+    else fib_recursive (n - 1) + fib_recursive (n - 2)
+
+  (* 2. Tail recursive method *)
+  let fib_tail_recursive n =
+    let rec aux n a b =
+      match n with
+      | 1 -> a
+      | 2 -> b
+      | _ -> aux (n - 1) b (a + b)
+    in aux n 1 1
+
+  (* 3. Bottom-up method *)
+  let fib_bottom_up n =
+    if n <= 2 then 1
+    else
+      let rec loop a b count =
+        if count = n then b
+        else loop b (a + b) (count + 1)
+      in loop 1 1 2
+  ```
+  ```ocaml
+  (* Function to print Fibonacci sequences *)
+  let print_fib_sequence name sequence =
+    Printf.printf "%s : %s\n" name (String.concat ", " (List.map string_of_int sequence))
+  ```
+  ```ocaml
+  (* Calculate and print the first 10 terms of the Fibonacci sequence using each method *)
+  let () =
+    let range = List.init 10 (fun x -> x + 1) in
+    print_fib_sequence "Standard Recursive Method" (List.map fib_recursive range);
+    print_fib_sequence "Tail Recursive Method    " (List.map fib_tail_recursive range);
+    print_fib_sequence "Bottom-up Method         " (List.map fib_bottom_up range)
+  ```
+  </details>
+  <details open="">
+    <summary>Output</summary>
+
+  ```ocaml
+  Standard Recursive Method : 1, 1, 2, 3, 5, 8, 13, 21, 34, 55
+  Tail Recursive Method     : 1, 1, 2, 3, 5, 8, 13, 21, 34, 55
+  Bottom-up Method          : 1, 1, 2, 3, 5, 8, 13, 21, 34, 55
+  ```
+  </details>

README.md

@@ -10,6 +10,7 @@
 - [My **F#** Practice](#my-f-practice)
 - [My **Elixir** Practice](#my-elixir-practice)
 - [My **Haskell** Practice](#my-haskell-practice)
+- [My **OCaml** Practice](#my-ocaml-practice)
 - [My **Racket** Practice](#my-racket-practice)
 - [My **Scala** Practice](#my-scala-practice)
 - [My **Scheme** Practice](#my-scheme-practice)
@@ -41,6 +42,11 @@
 - [Fibonacci Sequence (2024.04.01)](/Haskell/README.md#fibonacci-sequence-20240401)
 
 
+## [My OCaml Practice](#list)
+
+- [Fibonacci Sequence (2024.12.30)](/OCaml/README.md#fibonacci-sequence-20241230)
+
+
 ## [My Racket Practice](#list)
 
 - [Fibonacci Sequence (2024.12.18)](/Racket/README.md#fibonacci-sequence-20241218)