import random as rd
import math as mt
import matplotlib.pyplot as plt

## set this to whatever
distance = 2

x = rd.random()*10000
y = rd.random()*10000

start_pt = [x,y]

angle = rd.uniform(0, 360)
x_1 = x + distance * mt.cos(angle)
y_1 = y + distance * mt.sin(angle)

end_pt = [x_1,y_1]

distance_check = mt.sqrt(((start_pt[0]-end_pt[0])**2)+((start_pt[1]-end_pt[1])**2) )

## check
print(start_pt)
print(distance_check)
print(end_pt)
print(angle)

## count how many lines you've crossed

def find_int_between(x,y):
    if y > x:
        return max(0,mt.ceil(y) - mt.floor(x)-1)
    else:
        return max(0, mt.ceil(x) - mt.floor(y)-1)

x_axis_cross = find_int_between(end_pt[0],(start_pt[0]))
y_axis_cross = find_int_between(end_pt[1],(start_pt[1]))

## number of lines crossed
total_cross = abs(x_axis_cross) + abs(y_axis_cross)

## check to visualize what you're doing

x = [start_pt[0],end_pt[0]]
y = [start_pt[1],end_pt[1]]
plt.plot(x, y)
plt.grid(True)
plt.show()