def testCirclesIntersect():
print('Testing circlesIntersect()... ', end='')
assertEqual(circlesIntersect(0, 0, 2, 3, 0, 2), True)
assertEqual(circlesIntersect(0, 0, 2, 4, 0, 2), True)
assertEqual(circlesIntersect(0, 0, 2, 5, 0, 2), False)
assertEqual(circlesIntersect(3, 3, 3, 3, -3, 3), True)
assertEqual(circlesIntersect(3, 3, 3, 3, -3, 2.99), False)
print('Passed.')
def testFindIntRootsOfCubicCase(k, z1, z2, z3):
a, b, c, d = getCubicCoeffs(k, z1, z2, z3)
observed = bonusFindIntRootsOfCubic(a, b, c, d)
m1 = min(z1, z2, z3)
m3 = max(z1, z2, z3)
m2 = (z1 + z2 + z3) - (m1 + m3)
actual = (m1, m2, m3)
assertEqual(observed, actual)
def testNumberOfPoolBalls():
print('Testing numberOfPoolBalls()... ', end='')
assertEqual(numberOfPoolBalls(0), 0)
assertEqual(numberOfPoolBalls(1), 1)
assertEqual(numberOfPoolBalls(2), 3) # 1+2 == 3
assertEqual(numberOfPoolBalls(3), 6) # 1+2+3 == 6
assertEqual(numberOfPoolBalls(10), 55) # 1+2+...+10 == 55
print('Passed.')
def testLineIntersection():
print('Testing lineIntersection()... ', end='')
assertEqual(lineIntersection(2.5, 3, 2.5, 11), None)
assertEqual(lineIntersection(25, 3, 25, 11), None)
# y=3x-5 and y=x+5 intersect at (5,10)
assertAlmostEqual(lineIntersection(3, -5, 1, 5), 5)
# y=10x and y=-4x+35 intersect at (2.5,25)
assertAlmostEqual(lineIntersection(10, 0, -4, 35), 2.5)
assertAlmostEqual(lineIntersection(10, 0, -4, 15), 1.0714285714285714)
print('Passed.')
def testIsLegalTriangle():
print('Testing isLegalTriangle()... ', end='')
assertEqual(isLegalTriangle(3, 4, 5), True)
assertEqual(isLegalTriangle(5, 4, 3), True)
assertEqual(isLegalTriangle(3, 5, 4), True)
assertEqual(isLegalTriangle(0.3, 0.4, 0.5), True)
assertEqual(isLegalTriangle(3, 4, 7), False)
assertEqual(isLegalTriangle(7, 4, 3), False)
assertEqual(isLegalTriangle(3, 7, 4), False)
assertEqual(isLegalTriangle(5, -3, 1), False)
assertEqual(isLegalTriangle(-3, -4, -5), False)
print('Passed.')
def testIsMultiple():
print('Testing isMultiple()... ', end='')
assertEqual(isMultiple(1, 1), True)
assertEqual(isMultiple(2, 10), False)
assertEqual(isMultiple(-5, 25), False)
assertEqual(isMultiple(5, 0), False)
assertEqual(isMultiple(0, 0), True)
assertEqual(isMultiple(2, 11), False)
assertEqual(isMultiple(10, 2), True)
assertEqual(isMultiple(0, 5), True)
assertEqual(isMultiple(25, -5), True)
print('Passed.')
def testIsFactor():
print('Testing isFactor()... ', end='')
assertEqual(isFactor(1, 1), True)
assertEqual(isFactor(2, 10), True)
assertEqual(isFactor(-5, 25), True)
assertEqual(isFactor(5, 0), True)
assertEqual(isFactor(0, 0), True)
assertEqual(isFactor(2, 11), False)
assertEqual(isFactor(10, 2), False)
assertEqual(isFactor(0, 5), False)
print('Passed.')
def testSetKthDigit():
print('Testing setKthDigit()... ', end='')
assertEqual(setKthDigit(809, 0, 7), 807)
assertEqual(setKthDigit(809, 1, 7), 879)
assertEqual(setKthDigit(809, 2, 7), 709)
assertEqual(setKthDigit(809, 3, 7), 7809)
assertEqual(setKthDigit(0, 4, 7), 70000)
assertEqual(setKthDigit(-809, 0, 7), -807)
print('Passed.')
def testNearestBusStop():
print('Testing nearestBusStop()... ', end='')
assertEqual(nearestBusStop(0), 0)
assertEqual(nearestBusStop(4), 0)
assertEqual(nearestBusStop(5), 8)
assertEqual(nearestBusStop(12), 8)
assertEqual(nearestBusStop(13), 16)
assertEqual(nearestBusStop(20), 16)
assertEqual(nearestBusStop(21), 24)
print('Passed.')
def testNearestOdd():
print('Testing nearestOdd()... ', end='')
assertEqual(nearestOdd(13), 13)
assertEqual(nearestOdd(12.001), 13)
assertEqual(nearestOdd(12), 11)
assertEqual(nearestOdd(11.999), 11)
assertEqual(nearestOdd(-13), -13)
assertEqual(nearestOdd(-12.001), -13)
assertEqual(nearestOdd(-12), -13)
assertEqual(nearestOdd(-11.999), -11)
print('Passed.')
def testColorBlender():
print('Testing colorBlender()... ', end='')
# http://meyerweb.com/eric/tools/color-blend/#DC143C:BDFCC9:3:rgbd
assertEqual(colorBlender(220020060, 189252201, 3, -1), None)
assertEqual(colorBlender(220020060, 189252201, 3, 0), 220020060)
assertEqual(colorBlender(220020060, 189252201, 3, 1), 212078095)
assertEqual(colorBlender(220020060, 189252201, 3, 2), 205136131)
assertEqual(colorBlender(220020060, 189252201, 3, 3), 197194166)
assertEqual(colorBlender(220020060, 189252201, 3, 4), 189252201)
assertEqual(colorBlender(220020060, 189252201, 3, 5), None)
# http://meyerweb.com/eric/tools/color-blend/#0100FF:FF0280:2:rgbd
assertEqual(colorBlender(1000255, 255002128, 2, -1), None)
assertEqual(colorBlender(1000255, 255002128, 2, 0), 1000255)
assertEqual(colorBlender(1000255, 255002128, 2, 1), 86001213)
assertEqual(colorBlender(1000255, 255002128, 2, 2), 170001170)
assertEqual(colorBlender(1000255, 255002128, 2, 3), 255002128)
print('Passed.')
def testIsRightTriangle():
print('Testing isRightTriangle()... ', end='')
assertEqual(isRightTriangle(0, 0, 0, 3, 4, 0), True)
assertEqual(isRightTriangle(1, 1.3, 1.4, 1, 1, 1), True)
assertEqual(isRightTriangle(9, 9.12, 8.95, 9, 9, 9), True)
assertEqual(isRightTriangle(0, 0, 0, math.pi, math.e, 0), True)
assertEqual(isRightTriangle(0, 0, 1, 1, 2, 0), True)
assertEqual(isRightTriangle(0, 0, 1, 2, 2, 0), False)
assertEqual(isRightTriangle(1, 0, 0, 3, 4, 0), False)
print('Passed.')
def testFabricExcess():
print('Testing fabricExcess()... ', end='')
assertEqual(fabricExcess(0), 0)
assertEqual(fabricExcess(1), 35)
assertEqual(fabricExcess(35), 1)
assertEqual(fabricExcess(36), 0)
assertEqual(fabricExcess(37), 35)
assertEqual(fabricExcess(72), 0)
assertEqual(fabricExcess(73), 35)
assertEqual(fabricExcess(108), 0)
assertEqual(fabricExcess(109), 35)
print('Passed.')
def testEggCartons():
print('Testing eggCartons()... ', end='')
assertEqual(eggCartons(0), 0)
assertEqual(eggCartons(1), 1)
assertEqual(eggCartons(12), 1)
assertEqual(eggCartons(13), 2)
assertEqual(eggCartons(24), 2)
assertEqual(eggCartons(25), 3)
print('Passed.')
def testGetInRange():
print('Testing getInRange()... ', end='')
assertEqual(getInRange(5, 1, 10), 5)
assertEqual(getInRange(5, 5, 10), 5)
assertEqual(getInRange(5, 9, 10), 9)
assertEqual(getInRange(5, 10, 10), 10)
assertEqual(getInRange(5, 10, 1), 5)
assertEqual(getInRange(5, 10, 5), 5)
assertEqual(getInRange(5, 10, 9), 9)
assertEqual(getInRange(0, -20, -30), -20)
assertAlmostEqual(getInRange(0, -20.25, -30.33), -20.25)
print('Passed.')
def testNthFibonacciNumber():
print('Testing nthFibonacciNumber()... ', end='')
assertEqual(nthFibonacciNumber(0), 1)
assertEqual(nthFibonacciNumber(1), 1)
assertEqual(nthFibonacciNumber(2), 2)
assertEqual(nthFibonacciNumber(3), 3)
assertEqual(nthFibonacciNumber(4), 5)
assertEqual(nthFibonacciNumber(5), 8)
assertEqual(nthFibonacciNumber(6), 13)
print('Passed.')
def testIsEvenPositiveInt():
print('Testing isEvenPositiveInt()... ', end='')
assertEqual(isEvenPositiveInt(809), False)
assertEqual(isEvenPositiveInt(810), True)
assertEqual(isEvenPositiveInt(2389238001), False)
assertEqual(isEvenPositiveInt(2389238000), True)
assertEqual(isEvenPositiveInt(-2389238000), False)
assertEqual(isEvenPositiveInt(0), False)
assertEqual(isEvenPositiveInt('do not crash here!'), False)
print('Passed.')
def testRectanglesOverlap():
print('Testing rectanglesOverlap()...', end='')
assertEqual(rectanglesOverlap(1, 1, 2, 2, 2, 2, 2, 2), True)
assertEqual(rectanglesOverlap(1, 1, 2, 2, -2, -2, 6, 6), True)
assertEqual(rectanglesOverlap(1, 1, 2, 2, 3, 3, 1, 1), True)
assertEqual(rectanglesOverlap(1, 1, 2, 2, 3.1, 3, 1, 1), False)
assertEqual(rectanglesOverlap(1, 1, 1, 1, 1.9, -1, 0.2, 1.9), False)
assertEqual(rectanglesOverlap(1, 1, 1, 1, 1.9, -1, 0.2, 2), True)
assertEqual(rectanglesOverlap(1, 1, 2, 2, 2, 2, 2, 6), True)
assertEqual(rectanglesOverlap(1, 1, 2, 2, 3,4,5,6), False)
print('Passed.')
def testIsPerfectSquare():
print('Testing isPerfectSquare()... ', end='')
assertEqual(isPerfectSquare(0), True)
assertEqual(isPerfectSquare(1), True)
assertEqual(isPerfectSquare(16), True)
assertEqual(isPerfectSquare(1234**2), True)
assertEqual(isPerfectSquare(15), False)
assertEqual(isPerfectSquare(17), False)
assertEqual(isPerfectSquare(-16), False)
assertEqual(isPerfectSquare(1234**2+1), False)
assertEqual(isPerfectSquare(1234**2-1), False)
assertEqual(isPerfectSquare(4.0000001), False)
assertEqual(isPerfectSquare('Do not crash here!'), False)
print('Passed.')
def testGetKthDigit():
print('Testing getKthDigit()... ', end='')
assertEqual(getKthDigit(809, 0), 9)
assertEqual(getKthDigit(809, 1), 0)
assertEqual(getKthDigit(809, 2), 8)
assertEqual(getKthDigit(809, 3), 0)
assertEqual(getKthDigit(0, 100), 0)
assertEqual(getKthDigit(-809, 0), 9)
print('Passed.')
def testNumberOfPoolBallRows():
print('Testing numberOfPoolBallRows()... ', end='')
assertEqual(numberOfPoolBallRows(0), 0)
assertEqual(numberOfPoolBallRows(1), 1)
assertEqual(numberOfPoolBallRows(2), 2)
assertEqual(numberOfPoolBallRows(3), 2)
assertEqual(numberOfPoolBallRows(4), 3)
assertEqual(numberOfPoolBallRows(6), 3)
assertEqual(numberOfPoolBallRows(7), 4)
assertEqual(numberOfPoolBallRows(10), 4)
assertEqual(numberOfPoolBallRows(11), 5)
assertEqual(numberOfPoolBallRows(55), 10)
assertEqual(numberOfPoolBallRows(56), 11)
print('Passed.')
def testPascalsTriangleValue():
print('Testing pascalsTriangleValue()... ', end='')
assertEqual(pascalsTriangleValue(3, 0), 1)
assertEqual(pascalsTriangleValue(3, 1), 3)
assertEqual(pascalsTriangleValue(3, 2), 3)
assertEqual(pascalsTriangleValue(3, 3), 1)
assertEqual(pascalsTriangleValue(1234, 0), 1)
assertEqual(pascalsTriangleValue(1234, 1), 1234)
assertEqual(pascalsTriangleValue(1234, 2), 760761)
assertEqual(pascalsTriangleValue(3, -1), None)
assertEqual(pascalsTriangleValue(3, 4), None)
assertEqual(pascalsTriangleValue(-3, 2), None)
print('Passed.')
