#################################################
# 15-112-m18 hw1
# Your Name:
# Your Andrew ID:
# Your Section:
#################################################

import math

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

def almostEqual(d1, d2, epsilon=10**-7):
    return (abs(d2 - d1) < epsilon)

#################################################
# hw1 problems
#################################################

def isEquilateralTriangle(side1,side2,side3):
    return 42

def getKthDigit(n, k):
    return 42

def isPerfectSquare(n):
    return 42

#################################################
# hw1 Test Functions
################################################

def testIsEquilateralTriangle():
    print('Testing isEquilateralTriangle()... ', end='')
    assert(isEquilateralTriangle(1,2,3) == False)
    assert(isEquilateralTriangle(1,2.0,3) == False)
    assert(isEquilateralTriangle(1.00000000000000001,1.0,1) == True)
    assert(isEquilateralTriangle(.1 + .1 + .1,.3,.3) == True)
    assert(isEquilateralTriangle(11,11,11) == True)
    assert(isEquilateralTriangle(1,1,3) == False)
    assert(isEquilateralTriangle(1,3,3) == False)
    assert(isEquilateralTriangle(1,3,1) == 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 Main
################################################

def testAll():
    testIsEquilateralTriangle()
    testGetKthDigit()
    testIsPerfectSquare()

def main():
    testAll()

if __name__ == '__main__':
    main()