#################################################
# 15-112-n19 hw1-1
# Your Name:
# Your Andrew ID:
# Your Section:
#################################################

import math

#################################################
# Helper functions
#################################################

#From lecture, do not change this function
def almostEqual(d1, d2, epsilon=10**-7):
    return (abs(d2 - d1) < epsilon)

#################################################
# hw1-1 problems
#################################################

#Edit these functions so they return the correct values.

def distance(x1, y1, x2, y2):
    return 42

def isRightTriangle(x1, y1, x2, y2, x3, y3):
    return 42

def getKthDigit(n, k):
    return 42

def isPerfectSquare(n):
    return 42

#################################################
# hw1-1 Test Functions
################################################

def testDistance():
    print('Testing distance()...', end='')
    assert(almostEqual(distance(3.0, 0.0, 0.0, 4.0), 5.0))
    assert(almostEqual(distance(-1.0, 2.0, 3.0, 2.0), 4.0))
    assert(almostEqual(distance(-5, 5, 5, -5), 14.142135623730951))
    assert(almostEqual(distance(100.5, 50.2, 100.5, 50.2), 0.0))
    assert(almostEqual(distance(1000, 1000, -1000, -1000), 2828.42712474619))
    print('Passed.')

def testIsRightTriangle():
    print('Testing isRightTriangle()... ', end='')
    assert(isRightTriangle(0, 0, 0, 3, 4, 0) == True)
    assert(isRightTriangle(1, 1.3, 1.4, 1, 1, 1) == True)
    assert(isRightTriangle(9, 9.12, 8.95, 9, 9, 9) == True)
    assert(isRightTriangle(0, 0, 0, math.pi, math.e, 0) == True)
    assert(isRightTriangle(0, 0, 1, 1, 2, 0) == True)
    assert(isRightTriangle(0, 0, 1, 2, 2, 0) == False)
    assert(isRightTriangle(1, 0, 0, 3, 4, 0) == False)
    print('Passed.')

def testGetKthDigit():
    print('Testing getKthDigit()... ', end='')
    assert(getKthDigit(809, 0) == 9)
    assert(getKthDigit(809, 1) == 0)
    assert(getKthDigit(809, 2) == 8)
    assert(getKthDigit(809, 3) == 0)
    assert(getKthDigit(0, 100) == 0)
    assert(getKthDigit(-809, 0) == 9)
    print('Passed.')

def testIsPerfectSquare():
    print('Testing isPerfectSquare()... ', end='')
    assert(isPerfectSquare(0) == True)
    assert(isPerfectSquare(1) == True)
    assert(isPerfectSquare(16) == True)
    assert(isPerfectSquare(1234**2) == True)
    assert(isPerfectSquare(15) == False)
    assert(isPerfectSquare(17) == False)
    assert(isPerfectSquare(-16) == False)
    assert(isPerfectSquare(1234**2+1) == False)
    assert(isPerfectSquare(1234**2-1) == False)
    assert(isPerfectSquare(4.0000001) == False)
    assert(isPerfectSquare('Do not crash here!') == False)
    print('Passed.')

#################################################
# hw1-1 Main
################################################

def testAll():
    testDistance()
    testIsRightTriangle()
    testGetKthDigit()
    testIsPerfectSquare()

def main():
    testAll()

if __name__ == '__main__':
    main()