added the asm, even though after 4 hours of debugging it still didn't worked ( and using ai to debug ) this was an interesting add-on

src/bash_scripts/cow_college.sh

@@ -1,7 +1,31 @@
 #!/usr/bin/env bash
 
+set -euo pipefail
+
+DIR="$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)"
+USE_ASM=0
+
+usage() {
+  echo "usage: $0 [--asm] <number>"
+  echo
+  echo "  <number>   nombre de termes à afficher"
+  echo "  --asm      utilise le programme assembleur ./fib"
+  echo
+  echo "sans --asm, le calcul est fait directement en bash"
+}
+
+if [[ $# -lt 1 || $# -gt 2 ]]; then
+  usage
+  exit 1
+fi
+
+if [[ "${1:-}" == "--asm" ]]; then
+  USE_ASM=1
+  shift
+fi
+
 if [[ $# -ne 1 ]]; then
-  echo "usage: $0 <number>"
+  usage
   exit 1
 fi
 
@@ -12,41 +36,62 @@ fi
 
 n=$1
 
-declare -A memo
-memo[1]=0
-memo[2]=1
-
-result=0
-
-fib() {
+fib_bash() {
   local k=$1
-  local a
-  local b
+  local a=0
+  local b=1
+  local tmp
 
-  if [[ -n "${memo[$k]:-}" ]]; then
-    result=${memo[$k]}
-    return
+  for ((j = 0; j < k; j++)); do
+    tmp=$((a + b))
+    a=$b
+    b=$tmp
+  done
+
+  printf '%s\n' "$a"
+}
+
+fib_asm() {
+  local k=$1
+  local bin="$DIR/fib"
+
+  if [[ ! -x "$bin" ]]; then
+    echo "error: ASM binary not found or not executable: $bin" >&2
+    echo "compile with:" >&2
+    echo "  nasm -f elf64 fib.asm -o fib.o && ld fib.o -o fib" >&2
+    exit 1
   fi
 
-  fib $((k - 1))
-  a=$result
+  "$bin" "$k"
+}
 
-  fib $((k - 2))
-  b=$result
+display_value() {
+  local value=$1
+  local last=$2
 
-  memo[$k]=$((a + b))
-  result=${memo[$k]}
+  if command -v cowsay >/dev/null 2>&1; then
+    if ((last)); then
+      printf '%s\n' "$value" | cowsay -e oo -T U
+    else
+      printf '%s\n' "$value" | cowsay
+    fi
+  else
+    printf '%s\n' "$value"
+  fi
 }
 
 for ((i = 1; i <= n; i++)); do
-  fib "$i"
-  value=$result
+  if ((USE_ASM)); then
+    value="$(fib_asm "$i")"
+  else
+    value="$(fib_bash "$i")"
+  fi
 
   if ((i < n)); then
-    printf '%s\n' "$value" | cowsay # il y a eu un peu de problèmes pour afficher correctement le nombre avec cowsay il attendait une sorte d'input ??
+    display_value "$value" 0
     sleep 1
     clear
   else
-    printf '%s\n' "$value" | cowsay -e oo -T U
+    display_value "$value" 1
   fi
 done

src/bash_scripts/fib.asm

@@ -0,0 +1,104 @@
+; x86-64 Linux, NASM
+; usage: ./fib 10
+; output: 55
+
+global _start
+
+section .bss
+    buffer resb 32
+
+section .text
+
+_start:
+    mov rdi, [rsp]          ; argc
+    cmp rdi, 2
+    jl error
+
+    mov rsi, [rsp + 16]     ; argv[1]
+    call atoi               ; rax = n
+
+    mov rcx, rax
+
+    xor rax, rax            ; a = 0
+    mov rbx, 1              ; b = 1
+
+    test rcx, rcx
+    jz print_result
+
+fib_loop:
+    mov rdx, rax
+    add rdx, rbx
+    mov rax, rbx
+    mov rbx, rdx
+    dec rcx
+    jnz fib_loop
+
+print_result:
+    call print_uint
+    call exit_ok
+
+error:
+    mov rax, 60
+    mov rdi, 1
+    syscall
+
+exit_ok:
+    mov rax, 60
+    xor rdi, rdi
+    syscall
+
+atoi:
+    xor rax, rax
+
+atoi_loop:
+    movzx rdx, byte [rsi]
+    cmp rdx, 0
+    je atoi_done
+
+    cmp rdx, '0'
+    jl atoi_done
+    cmp rdx, '9'
+    jg atoi_done
+
+    sub rdx, '0'
+    imul rax, rax, 10
+    add rax, rdx
+
+    inc rsi
+    jmp atoi_loop
+
+atoi_done:
+    ret
+
+print_uint:
+    mov rdi, buffer + 31
+    mov byte [rdi], 10
+    dec rdi
+
+    mov rcx, 10
+
+    test rax, rax
+    jnz convert_loop
+
+    mov byte [rdi], '0'
+    jmp print_now
+
+convert_loop:
+    xor rdx, rdx
+    div rcx
+    add dl, '0'
+    mov [rdi], dl
+    dec rdi
+    test rax, rax
+    jnz convert_loop
+
+    inc rdi
+
+print_now:
+    mov rax, 1
+    mov rsi, rdi
+    mov rdx, buffer + 32
+    sub rdx, rsi
+    mov rdi, 1
+    syscall
+    ret