Download Python Program to Calculate Square Root Using Babylonian Method and more Assignments Programming Methodologies in PDF only on Docsity!
Sample Answer for Programming Assignment Unit 5 Python Program import math def mysqrt(a): x = a while True: y = (x + a/x) / 2. if y == x: break x = y return x def test_square_root(): a = 1 while a < 26: mine = mysqrt(a) maths = math.sqrt(a) print("a =", a, "| mysqrt(a) =", mine, "| math.sqrt(a) =", maths, "| diff =", abs(mine-maths)) a = a + 1 test_square_root() Output for Python 3 a = 1 | mysqrt(a) = 1 | math.sqrt(a) = 1.0 | diff = 0. a = 2 | mysqrt(a) = 1.414213562373095 | math.sqrt(a) = 1.4142135623730951 | diff = 2.220446049250313e- 16 a = 3 | mysqrt(a) = 1.7320508075688772 | math.sqrt(a) = 1.7320508075688772 | diff = 0. a = 4 | mysqrt(a) = 2 .0 | math.sqrt(a) = 2.0 | diff = 0. a = 5 | mysqrt(a) = 2.23606797749979 | math.sqrt(a) = 2.23606797749979 | diff = 0. a = 6 | mysqrt(a) = 2.449489742783178 | math.sqrt(a) = 2.449489742783178 | diff = 0. a = 7 | mysqrt(a) = 2.6457513110645907 | math.sqrt(a) = 2.6457513110645907 | diff = 0. a = 8 | mysqrt(a) = 2.82842712474619 | math.sqrt(a) = 2.8284271247461903 | diff = 4.440892098500626e- 16 a = 9 | mysqrt(a) = 3.0 | math.sqrt(a) = 3.0 | diff = 0.
a = 10 | mysqrt(a) = 3.162277660168379 | math.sqrt(a) = 3.1622776601683795 | diff = 4.440892098500626e- 16 a = 11 | mysqrt(a) = 3.3166247903554 | math.sqrt(a) = 3.3166247903554 | diff = 0. a = 12 | mysqrt(a) = 3.4641016151377544 | math.sqrt(a) = 3.4641016151377544 | diff = 0. a = 13 | mysqrt(a) = 3.6055512754 639896 | math.sqrt(a) = 3.605551275463989 | diff = 4.440892098500626e- 16 a = 14 | mysqrt(a) = 3.7416573867739413 | math.sqrt(a) = 3.7416573867739413 | diff = 0. a = 15 | mysqrt(a) = 3.872983346207417 | math.sqrt(a) = 3.872983346207417 | diff = 0. a = 16 | mysqrt(a) = 4.0 | math.sqrt(a) = 4.0 | diff = 0. a = 17 | mysqrt(a) = 4.123105625617661 | math.sqrt(a) = 4.123105625617661 | diff = 0. a = 18 | mysqrt(a) = 4.242640687119286 | math.sqrt(a) = 4.242640687119285 | diff = 8.881784197001252e- 16 a = 19 | mysqrt(a) = 4.358898943540673 | math.sqrt(a) = 4.358898943540674 | diff = 8.881784197001252e- 16 a = 20 | mysqrt(a) = 4.47213595499958 | math.sqrt(a) = 4.47213595499958 | diff = 0. a = 21 | mysqrt(a) = 4.58257569495584 | math.sqrt(a) = 4.58257569495584 | diff = 0. a = 22 | mysqrt(a) = 4.69041575982343 | math.sqrt(a) = 4.69041575982343 | diff = 0. a = 23 | mysqrt(a) = 4.795831523312719 | math.sqrt(a) = 4.795831523312719 | diff = 0. a = 24 | mysqrt(a) = 4.898979485566356 | math.sqrt(a) = 4.898979485566356 | diff = 0. a = 25 | mysqrt(a) = 5.0 | math.sqrt(a) = 5.0 | diff = 0. Output for Python 2 ('a =', 1, '| mysqrt(a) =', 1, '| math.sqrt(a) =', 1.0, '| diff =', 0.0) ('a =', 2, '| mysqrt(a) =', 1.414213562373095, '| math.sqrt(a) =', 1.4142135623730951, '| diff =', 2.220446049250313e-16) ('a =', 3, '| mysqrt(a) =', 1.7320508075688772, '| math.sqrt(a) =', 1.7320508075688772, '| diff =', 0.0) ('a =', 4, '| mysqrt(a) =', 2.0, '| math.sqrt(a) =', 2.0, '| diff =', 0.0) ('a =', 5, '| mysqrt(a) =', 2.23606797749979, '| math.sqrt(a) =', 2.23606797749979, '| diff =', 0.0) ('a =', 6, '| mysqrt(a) =', 2.449489742783178, '| math.sqrt(a) =', 2.449489742783178, '| diff =', 0.0)
