import math as m

def square():
  side = int(input("Enter a edge for square: "))
  diagonal = m.sqrt(2*(side**2))
  perimeter = 4*side 
  area = side**2

  print("""
  SIDE      : {}
  PERIMETER : {}
  DIAGONAL  : {}
  AREA      : {}
  """.format(side,perimeter,diagonal,area))


def distance():
  print("You need to enter two point (x1,y1) and (x2,y2)")
  x1 = int(input("X1 :"))
  y1 = int(input("Y1 :"))
  x2 = int(input("X2 :"))
  y2 = int(input("Y2 :"))

  distance = m.sqrt(((x2-x1)**2)+((y2-y1)**2))
  print("""
  Distance between ({},{}) and ({},{}) = {}
  """.format(x1,y1,x2,y2,distance))

def right_triangle():
  hipo = int(input("Enter a hypotenuse: "))
  perp = int(input("Enter perpendicular edge: "))
  other = int(input("Enter other edge: "))

  flag = hipo**2 == perp**2+other**2

  if flag:
    area = (perp*other) / 2
    print("""
    AREA : {}
    """.format(area))
  else:
    print("""
    This is not a right triangle, Try Again!!!!
    """)

def circle():
  radius = int(input("Enter the radius for circle: "))
  circumference = 2*radius*m.pi
  area = m.pi*(radius**2)
  diameter = 2*radius

  print("""
  RADIUS        : {}
  CIRCUMFERENCE : {}
  AREA          : {}
  DIAMETER      : {} 
  """.format(radius, circumference, area, diameter))

def rectangle():
  lside = int(input("Enter a long edge for rectangle: "))
  sside = int(input("Enter a short edge for rectangle: "))
  perimeter = 2*(lside+sside)
  area = lside*sside

  print("""
  EDGES      : {},{}
  PERIMETER  : {}
  AREA       : {}
  
  """.format(lside,sside,perimeter,area))


def menu():
  print("""
  Welcome, please select one operation...

  [1] SQUARE
  [2] DISTANCE OF TWO POINTS
  [3] RIGHT TRIANGLE
  [4] CIRCLE
  [5] RECTANGLE
  [0] EXIT
  """)
  ch = int(input())

  return ch

def menu2():
  print("""
  Would you like to take another operation?

  [1] YES
  [0] EXIT
  """)
  ch = int(input())

  return ch


flag = True
while flag:
  choose = menu()

  if choose == 1:
    square()
  elif choose == 2:
    distance()
  elif choose == 3:
    right_triangle()
  elif choose == 4:
    circle()
  elif choose == 5:
    rectangle
  elif choose == 0:
    print("You exit successfully...")
    flag = False