Added buffons needle problem

projects/Buffons-Needle-Problem/buffons_problem.py

@@ -0,0 +1,71 @@
+#A program to calculate the value of pi using buffons needle problem
+import pygame
+from math import pi,sin,cos
+import random
+
+pygame.init()
+
+white=(255,255,255)
+black=(0,0,0)
+green=(0,255,0)
+
+font = pygame.font.Font(None, 32)
+
+t=60
+l=47
+n=6
+
+root=pygame.display.set_mode((n*t,n*t+32))
+# root=pygame.display.set_mode((n*t,n*t))
+pygame.display.set_caption("Buffon's Needle Problem")
+clock=pygame.time.Clock()
+
+intersected=0
+lines=0
+
+done=False
+
+root.fill(white)
+while not done:
+    for i in range(n):
+        pygame.draw.line(root,black,(i*t,0),(i*t,n*t),2)
+
+    x=(random.randrange(0,n*t))
+    y=(random.randrange(0,n*t))
+    theta=random.uniform(0,pi)
+
+    is_intersecting=False
+    p=x//t
+    if theta<(pi/2):
+        if (x+l*cos(theta))>=(p+1)*t:
+            is_intersecting=True
+    else:
+        if (x+l*cos(theta))<=p*t:
+            is_intersecting=True
+
+    if is_intersecting:
+        pygame.draw.line(root,green,(x,y),(x+l*cos(theta),y+l*sin(theta)),2)
+        intersected+=1
+    else:
+        pygame.draw.line(root,black,(x,y),(x+l*cos(theta),y+l*sin(theta)))
+
+    lines+=1
+
+    pygame.draw.rect(root,black,pygame.Rect(0,n*t,n*t,n*t))
+
+    try:
+        text=font.render(f"{str((2/(intersected/lines))*(l/t))[0:4]}",True,white)
+        root.blit(text,(0,n*t))
+        print(f"{(2/(intersected/lines))*(l/t)}",end="\r")
+    except ZeroDivisionError:
+        pass
+
+    for event in pygame.event.get():
+        if event.type==pygame.QUIT:
+            done=True
+        if event.type==pygame.KEYDOWN:
+            if event.key==pygame.K_q:
+                done=True
+
+    pygame.display.update()
+