Find a Minecraft stronghold

stronghold.py

#Find a minecraft stronghold

#To find a stronghold you need an eye of ender, which you throw into the air.
#Make a note of your current location and the direction in which the eye goes.
#You can find these from the F3 debug screen.

#Move to a second point (it should be reasonably distant from the first)
#Throw the eye again and note the second point and direction. Enter 
#the numbers below and run. It outputs the location of the stronghold.

point1 = (142,-155)
direction1 = -54.9 * (pi/180)

point2 = (714, -201)
direction2 = 0.9 * (pi/180)




vector1=(-sin(direction1),cos(direction1))
vector2=(-sin(direction2),cos(direction2))

det=vector1[0]*vector2[1]-vector2[0]*vector1[1]
#if abs(det)<0.01:     # not needed?
#    print("Points are aligned, accuracy reduced")

ldet =  vector2[1]*(point2[0]-point1[0]) - vector2[0]*(point2[1]-point1[1])  
mdet =  vector1[1]*(point2[0]-point1[0]) - vector1[0]*(point2[1]-point1[1])

stronghold = ( int(point1[0]+ ldet/det * vector1[0]) ,int(point1[1] 
              +ldet/det*vector1[1]))
strongchck = ( int(point2[0]+ mdet/det * vector2[0]) , int(point2[1]
              +mdet/det*vector2[1]))

print("Stronghold found at coordinates",stronghold)