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jkunze-TestCollatz.py
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jkunze-TestCollatz.py
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#!/usr/bin/env python
# -------------------------------
# projects/collatz/TestCollatz.py
# Copyright (C) 2013
# Glenn P. Downing
# -------------------------------
"""
To test the program:
% python TestCollatz.py >& TestCollatz.py.out
% chmod ugo+x TestCollatz.py
% TestCollatz.py >& TestCollatz.py.out
"""
# -------
# imports
# -------
import StringIO
import unittest
from Collatz import collatz_read, collatz_eval, collatz_print, collatz_solve, collatz_length, collatz_init_cache
# -----------
# TestCollatz
# -----------
class TestCollatz (unittest.TestCase) :
# ----
# read
# ----
def test_read (self) :
r = StringIO.StringIO("1 10\n")
a = [0, 0]
b = collatz_read(r, a)
self.assert_(b == True)
self.assert_(a[0] == 1)
self.assert_(a[1] == 10)
# ----
# eval
# ----
def test_eval_1 (self) :
v = collatz_eval(1, 10)
self.assert_(v == 20)
def test_eval_2 (self) :
v = collatz_eval(100, 200)
self.assert_(v == 125)
def test_eval_3 (self) :
v = collatz_eval(201, 210)
self.assert_(v == 89)
def test_eval_4 (self) :
v = collatz_eval(900, 1000)
self.assert_(v == 174)
def test_eval_backwards (self) :
i = 1
j = 100
while i < j :
self.assert_(collatz_eval(i, j) == collatz_eval(j, i))
i += 1
# -----
# print
# -----
def test_print (self) :
w = StringIO.StringIO()
collatz_print(w, 1, 10, 20)
self.assert_(w.getvalue() == "1 10 20\n")
def test_print_wrong (self) :
w = StringIO.StringIO()
collatz_print(w, 9000000, 4, 33)
self.assert_(w.getvalue() == "9000000 4 33\n")
# -----
# solve
# -----
def test_solve (self) :
r = StringIO.StringIO("1 10\n100 200\n201 210\n900 1000\n")
w = StringIO.StringIO()
collatz_solve(r, w)
self.assert_(w.getvalue() == "1 10 20\n100 200 125\n201 210 89\n900 1000 174\n")
def test_solve_backwards (self) :
r = StringIO.StringIO("10 1\n200 100\n210 201\n1000 900\n")
w = StringIO.StringIO()
collatz_solve(r, w)
self.assert_(w.getvalue() == "10 1 20\n200 100 125\n210 201 89\n1000 900 174\n")
def test_solve_same (self) :
r = StringIO.StringIO("1 1\n2 2\n3 3\n4 4\n800 800\n")
w = StringIO.StringIO()
collatz_solve(r, w)
self.assert_(w.getvalue() == "1 1 1\n2 2 2\n3 3 8\n4 4 3\n800 800 29\n")
# -----
# length
# -----
def test_length_powers (self) :
self.assert_(collatz_length(1) == 1)
self.assert_(collatz_length(2) == 2)
self.assert_(collatz_length(4) == 3)
self.assert_(collatz_length(8) == 4)
self.assert_(collatz_length(16) == 5)
self.assert_(collatz_length(32) == 6)
self.assert_(collatz_length(64) == 7)
self.assert_(collatz_length(128) == 8)
self.assert_(collatz_length(256) == 9)
self.assert_(collatz_length(512) == 10)
self.assert_(collatz_length(1024) == 11)
self.assert_(collatz_length(2048) == 12)
self.assert_(collatz_length(4096) == 13)
self.assert_(collatz_length(8192) == 14)
self.assert_(collatz_length(16384) == 15)
self.assert_(collatz_length(32768) == 16)
self.assert_(collatz_length(65536) == 17)
self.assert_(collatz_length(131072) == 18)
self.assert_(collatz_length(262144) == 19)
self.assert_(collatz_length(524288) == 20)
def test_length_misc (self) :
self.assert_(collatz_length(3) == 8)
self.assert_(collatz_length(10) == 7)
self.assert_(collatz_length(5) == 6)
self.assert_(collatz_length(6) == 9)
self.assert_(collatz_length(7) == 17)
self.assert_(collatz_length(22) == 16)
self.assert_(collatz_length(11) == 15)
self.assert_(collatz_length(34) == 14)
self.assert_(collatz_length(17) == 13)
self.assert_(collatz_length(52) == 12)
self.assert_(collatz_length(26) == 11)
self.assert_(collatz_length(13) == 10)
self.assert_(collatz_length(40) == 9)
self.assert_(collatz_length(20) == 8)
self.assert_(collatz_length(9) == 20)
self.assert_(collatz_length(28) == 19)
self.assert_(collatz_length(14) == 18)
self.assert_(collatz_length(12) == 10)
def test_length_large (self) :
self.assert_(collatz_length(999990) == 166)
self.assert_(collatz_length(999991) == 166)
self.assert_(collatz_length(999992) == 114)
self.assert_(collatz_length(999993) == 166)
self.assert_(collatz_length(999994) == 114)
self.assert_(collatz_length(999995) == 259)
self.assert_(collatz_length(999996) == 114)
self.assert_(collatz_length(999997) == 114)
self.assert_(collatz_length(999998) == 259)
self.assert_(collatz_length(999999) == 259)
self.assert_(collatz_length(1000000) == 153)
def test_length_doubling (self) :
i = 2
while i < 1000001 :
self.assert_(collatz_length(i)+1 == collatz_length(i*2))
i += 2
def test_length_odds (self) :
i = 3
while i < 100000 :
self.assert_(collatz_length(i)-1 == collatz_length((i*3)+1))
i += 2
def test_solve_length_sanity (self) :
i = 1
while i < 1000 :
r = StringIO.StringIO(str(i) + " " + str(i))
w = StringIO.StringIO()
collatz_solve(r, w)
a = w.getvalue().split()
self.assert_(a[0] == a[1])
self.assert_(a[2] == str(collatz_length(i)))
i += 1
def test_solve_length_sanity_high (self) :
i = 999000
while i < 1000000 :
r = StringIO.StringIO(str(i) + " " + str(i))
w = StringIO.StringIO()
collatz_solve(r, w)
a = w.getvalue().split()
self.assert_(a[0] == a[1])
self.assert_(a[2] == str(collatz_length(i)))
i += 1
# ----
# main
# ----
print "TestCollatz.py"
collatz_init_cache()
unittest.main()
print "Done."