--- /dev/null
+
+from twisted.trial import unittest
+
+from fec.util import mathutil
+
+class Math(unittest.TestCase):
+ def test_div_ceil(self):
+ f = mathutil.div_ceil
+ self.failUnlessEqual(f(0, 1), 0)
+ self.failUnlessEqual(f(0, 2), 0)
+ self.failUnlessEqual(f(0, 3), 0)
+ self.failUnlessEqual(f(1, 3), 1)
+ self.failUnlessEqual(f(2, 3), 1)
+ self.failUnlessEqual(f(3, 3), 1)
+ self.failUnlessEqual(f(4, 3), 2)
+ self.failUnlessEqual(f(5, 3), 2)
+ self.failUnlessEqual(f(6, 3), 2)
+ self.failUnlessEqual(f(7, 3), 3)
+
+ def test_next_multiple(self):
+ f = mathutil.next_multiple
+ self.failUnlessEqual(f(5, 1), 5)
+ self.failUnlessEqual(f(5, 2), 6)
+ self.failUnlessEqual(f(5, 3), 6)
+ self.failUnlessEqual(f(5, 4), 8)
+ self.failUnlessEqual(f(5, 5), 5)
+ self.failUnlessEqual(f(5, 6), 6)
+ self.failUnlessEqual(f(32, 1), 32)
+ self.failUnlessEqual(f(32, 2), 32)
+ self.failUnlessEqual(f(32, 3), 33)
+ self.failUnlessEqual(f(32, 4), 32)
+ self.failUnlessEqual(f(32, 5), 35)
+ self.failUnlessEqual(f(32, 6), 36)
+ self.failUnlessEqual(f(32, 7), 35)
+ self.failUnlessEqual(f(32, 8), 32)
+ self.failUnlessEqual(f(32, 9), 36)
+ self.failUnlessEqual(f(32, 10), 40)
+ self.failUnlessEqual(f(32, 11), 33)
+ self.failUnlessEqual(f(32, 12), 36)
+ self.failUnlessEqual(f(32, 13), 39)
+ self.failUnlessEqual(f(32, 14), 42)
+ self.failUnlessEqual(f(32, 15), 45)
+ self.failUnlessEqual(f(32, 16), 32)
+ self.failUnlessEqual(f(32, 17), 34)
+ self.failUnlessEqual(f(32, 18), 36)
+ self.failUnlessEqual(f(32, 589), 589)
+
+ def test_pad_size(self):
+ f = mathutil.pad_size
+ self.failUnlessEqual(f(0, 4), 0)
+ self.failUnlessEqual(f(1, 4), 3)
+ self.failUnlessEqual(f(2, 4), 2)
+ self.failUnlessEqual(f(3, 4), 1)
+ self.failUnlessEqual(f(4, 4), 0)
+ self.failUnlessEqual(f(5, 4), 3)
+
+ def test_is_power_of_k(self):
+ f = mathutil.is_power_of_k
+ for i in range(1, 100):
+ if i in (1, 2, 4, 8, 16, 32, 64):
+ self.failUnless(f(i, 2), "but %d *is* a power of 2" % i)
+ else:
+ self.failIf(f(i, 2), "but %d is *not* a power of 2" % i)
+ for i in range(1, 100):
+ if i in (1, 3, 9, 27, 81):
+ self.failUnless(f(i, 3), "but %d *is* a power of 3" % i)
+ else:
+ self.failIf(f(i, 3), "but %d is *not* a power of 3" % i)
+
+ def test_next_power_of_k(self):
+ f = mathutil.next_power_of_k
+ self.failUnlessEqual(f(0,2), 1)
+ self.failUnlessEqual(f(1,2), 1)
+ self.failUnlessEqual(f(2,2), 2)
+ self.failUnlessEqual(f(3,2), 4)
+ self.failUnlessEqual(f(4,2), 4)
+ for i in range(5, 8): self.failUnlessEqual(f(i,2), 8, "%d" % i)
+ for i in range(9, 16): self.failUnlessEqual(f(i,2), 16, "%d" % i)
+ for i in range(17, 32): self.failUnlessEqual(f(i,2), 32, "%d" % i)
+ for i in range(33, 64): self.failUnlessEqual(f(i,2), 64, "%d" % i)
+ for i in range(65, 100): self.failUnlessEqual(f(i,2), 128, "%d" % i)
+
+ self.failUnlessEqual(f(0,3), 1)
+ self.failUnlessEqual(f(1,3), 1)
+ self.failUnlessEqual(f(2,3), 3)
+ self.failUnlessEqual(f(3,3), 3)
+ for i in range(4, 9): self.failUnlessEqual(f(i,3), 9, "%d" % i)
+ for i in range(10, 27): self.failUnlessEqual(f(i,3), 27, "%d" % i)
+ for i in range(28, 81): self.failUnlessEqual(f(i,3), 81, "%d" % i)
+ for i in range(82, 200): self.failUnlessEqual(f(i,3), 243, "%d" % i)
+
+ def test_ave(self):
+ f = mathutil.ave
+ self.failUnlessEqual(f([1,2,3]), 2)
+ self.failUnlessEqual(f([0,0,0,4]), 1)
+ self.failUnlessAlmostEqual(f([0.0, 1.0, 1.0]), .666666666666)
+
+ def failUnlessEqualContents(self, a, b):
+ self.failUnlessEqual(sorted(a), sorted(b))
+
+ def test_permute(self):
+ f = mathutil.permute
+ self.failUnlessEqualContents(f([]), [])
+ self.failUnlessEqualContents(f([1]), [[1]])
+ self.failUnlessEqualContents(f([1,2]), [[1,2], [2,1]])
+ self.failUnlessEqualContents(f([1,2,3]),
+ [[1,2,3], [1,3,2],
+ [2,1,3], [2,3,1],
+ [3,1,2], [3,2,1]])