11-Monte_carlo_simulation_area_under_curve.py

# -*- coding: utf-8 -*-
"""SM-1_Monte-Carlo_Assignment-3_Solution.ipynb

Automatically generated by Colaboratory.

Original file is located at
    https://colab.research.google.com/drive/19c21lj_qfiNrf_yJ7-4OJfNQoi_RcA_m
"""

import math
import random
import matplotlib.pyplot as plt

darts=[100,1000,5000,10000]
hits=0
PI_value_list=[]
circle_area=[]
rectangle_area=60
x_missed=[]
y_missed=[]
x_hit=[]
y_hit=[]
area_rectangle=16
for darts in darts:
  print("Darts:",darts)
  hits=0
  for i in range(darts):
    x=random.uniform(0, 8)
    y=random.uniform(0, 4)
    
    if x<=4:
      y1=math.sqrt(4*x)
      if y<=y1:
        x_hit.append(x)
        y_hit.append(y)
        hits=hits+1
      else:
        x_missed.append(x)
        y_missed.append(y)
      area_perabola=(hits/darts)*area_rectangle
    
    else:
      y1=8-x
      if y<=y1:
        x_hit.append(x)
        y_hit.append(y)
        hits=hits+1
      else:
        x_missed.append(x)
        y_missed.append(y)
    
      area_triangle=(hits/darts)*area_rectangle
    
  total_area=area_perabola+area_triangle
  print("Area:",total_area)
  ######### Scatter Plot#########
  plt.figure(figsize=(10, 6))
  plt.scatter(x_missed,y_missed, color= "green",  marker= ".", s=80,label = "Missed Points")
  plt.scatter(x_hit,y_hit, color= "red",  marker= ".", s=80,label = "Hits Points")
  plt.title('Scatter Plot') 
  plt.legend(loc='upper right') 
  plt.show()