from math import sin, pi, cos, sqrt, acos

def RADIUS_FROM_FOV_AND_RESOLUTION(resolution_in_pixels, fov_in_degrees):
  return resolution_in_pixels / sin(pi / (360 / fov_in_degrees)) / 2

def CLAMP(circle_in_half_n_units, half_n_unit):
  return ((circle_in_half_n_units / half_n_unit) - ((circle_in_half_n_units / half_n_unit) % 1)) % 2 * -half_n_unit + (circle_in_half_n_units % half_n_unit)

def ARCTANGENT(input_in_n_units):
  return sqrt(input_in_n_units ** 2) / input_in_n_units

def TRANSDUCE(input_in_radians, size_of_circle=1):
  return ARCTANGENT(input_in_radians) * acos((2 - (CLAMP(CLAMP(input_in_radians,2) / size_of_circle,2) ** 2)) / 2)

def UNTRANSDUCE(input_in_radians, size_of_circle=1):
  return sqrt((size_of_circle ** 2 * 2) - (cos(input_in_radians) * (size_of_circle ** 2 * 2)))


def Calculate_Ratio(input_in_degrees, sensitivity=1):

  # CAN BE ANY NUMBERS FOR THE PURPOSE OF CALCULATING THE RATIO
  radius = RADIUS_FROM_FOV_AND_RESOLUTION(1000, 90)

  # NOT SURE HOW TO COMMENT HTE CODE BELOW BUT IT DOES WHAT IT HAS TO
  radians_in_n_unit = UNTRANSDUCE(input_in_degrees / (360 / pi / 2), 1 / sensitivity)
  n_unit_in_pixels = radians_in_n_unit * radius

  barrier_in_pixels = TRANSDUCE(radians_in_n_unit, 1 / sensitivity) * radius / sensitivity

  return input_in_degrees, barrier_in_pixels / n_unit_in_pixels


# KNOWN TO WORK FROM 0.0..1 TO 180 DEGREES
# Calculate_Ratio(DEGREES)

for i in range(1,181):
  print(str(Calculate_Ratio(i)))