comparerecmontecarlo.py

Created by christian-mercat

Created on March 11, 2024

545 Bytes

from math import *
from random import *
from matplotlib.pyplot import *

def rec(f=lambda x: sqrt(1-x**2),a=0,b=1,n=10000
,gd=0):
  d=(b-a)/n
  xi=a+gd*d
  s = 0
  for _i in range(n):
    s += f(xi)
    xi += d
  return s*d

def disque(x,y):
  return x**2+y**2 <1

def montecarlo(n=1000):
  s=0
  for _i in range(n):
    if disque(random(),random()) :
      s += 1
  return s/n

N=10
X=[2**i for i in range(N)]
Ym=[montecarlo(n=X[i]) for i in range(N)]
Yr=[rec(n=X[i]) for i in range(N)]

plot(X,Ym)
plot(X,Yr)
show()

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