# QUADRILATERALS
# Frans Coenen
# University of Liverpool
# 15 March 2013

# Function to input an angle. Checks that angle is less than 180 degrees,
# if so function returns the angle, otherwise it repeats!
def inputAngle() :
        MIN_ANGLE = 0
        MAX_ANGLE = 180
        print('Input angle in degrees (range {0} to {1}):'.format(MIN_ANGLE,MAX_ANGLE))
        angle   = int(input())
        if angle>MIN_ANGLE and angle<MAX_ANGLE :
                return(angle)
        else :
                print("Error: Input angle %d must be greater than %i and less than %i" % (angle,MIN_ANGLE,MAX_ANGLE))
                return(inputAngle())

# Check if first three angles are less than 360. If so returns false.
# Otherwise calculates fourth angle, which must be less than 180 degress, and returns true.
def isaTrueQuadrilateral() :
        isQuadrilateral = True
        # Sum first three angles
        total = angleA+angleB+angleC
        # Check sum, if greater than 360 return false
        if total>=360 :
                print('ERROR 1: First three angles ({0}, {1} and {2})'.format(angleA,angleB,angleC))
                print('add up to {0} which is greater than 360'.format(total))
                isQuadrilateral = False
        # Otherwise calculate fourth angle
        else :
                angleD = 360-total;
                # Check angle D
                if (angleD < 180) : 
                        print('angleA = {0}, angleB = {1},'.format(angleA,angleB)) 
                        print('angleC = {0}, angleD = {1}'.format(angleC,angleD)) 
                else :
                        print('ERROR 2: angle D = {0} is greater than 180 degrees'.format(angleD))
                        isQuadrilateral = False
        # Return
        return isQuadrilateral

# Function to determine the nature of the quadrialteral --- squareOrRectangle, kite, 
# parallelogram, or some other qudrilateral.                
def idQuadType() :
        if angleA == angleC :
                if angleB == angleD :
                        if angleA == angleB :
                                print('Shape is a square or a rectangle')
                        else :
                                print('Shape is a parallelogram')
                else :
                        print('angleA = {0}, angleB = {1},'.format(angleA,angleB)) 
                        print('angleC = {0}, angleD = {1}'.format(angleC,angleD)) 
                        print('Shape is a Kite 1')
        else :
                if angleB == angleD :
                        print('Shape is a Kite 2')
                else :
                        print('Shape is some other Quadrialeteral')

# Input first three angles
print('Angle A')
angleA = inputAngle()
print('Angle B')
angleB = inputAngle()
print('Angle C')
angleC = inputAngle()

# Main
if (isaTrueQuadrilateral()) : 
        angleD = 360-(angleA+angleB+angleC)
        idQuadType()