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Explications en vidéo

Le programme ne fonctionne pas dans l’émulateur mais devrait fonctionner sur votre machine.

D = 102
T = 5  # on veut 5*102 = 500 decimales

def unSur(d):
  r =[0] * D 
  n = 1
  for i in range(D):
    for j in range(T):
     q = n // d
     r[i] *= 10
     r[i] += q
     n = (n - q * d) * 10
  return r

def add(a,b):
  for i in range(D):
    v = a[i] + b[i]
    if v > 10**T and i > 0: a[i-1] += 1
    a[i] = v % 10**T
  return a

def atan(x, n):
  r = [0] * D
  c = x * x
  p = 1
  for i in range(n):
    r = add(r,unSur(p * x))
    p += 2
    if x < 0: r[D - 1] += 1
    x *= -c
  return r

def aff(r):
  for i in range(D):
    print(("0"*T + str(r[i]))[-T:],end="")

def pi():
  v = atan(5, 360)
  w = atan(-239, 106)
  r = add(v,v) # 2atan(1/5)
  r = add(r,r) # 4atan(1/5)
  r = add(r,w) # 4atan(1/5)-atan(1/239)
  r = add(r,r)
  r = add(r,r)
  aff(r)