class ShorthandMethods(unittest.TestCase):
def setUp(self):
self.pcs = PcSet('0146')
def test_T(self):
a = self.pcs.T(3)
b = self.pcs.transpose(3)
self.assertEqual(list(a), list(b))
def test_I(self):
a = self.pcs.I()
b = self.pcs.invert()
self.assertEqual(list(a), list(b))
def test_TnI(self):
a = self.pcs.TnI(3)
b = self.pcs.invert().transpose(3)
self.assertEqual(list(a), list(b))
def test_Ixy(self):
"""
Tests the principle that the two specified pitches should transform
into each other.
"""
n = list(self.pcs)
a = list(self.pcs.Ixy(1, 4))
b = list(self.pcs.invert().transpose(5))
self.assertEqual(a, b)
self.assertEqual(a[1], n[2])
self.assertEqual(a[2], n[1])
class SetAnalysis(unittest.TestCase):
def setUp(self):
self.amaj = PcSet('9B12468')
self.empty = PcSet([])
# ivec
def test_ivec_ait1(self):
ait1 = PcSet('0146')
self.assertEqual(ait1.ivec(), [1] * 6)
def test_ivec_ait2(self):
ait2 = PcSet('0137')
self.assertEqual(ait2.ivec(), [1] * 6)
def test_ivec_empty(self):
self.assertEqual(self.empty.ivec(), [0] * 6)
# cvec
def test_cvec(self):
"""
Tests the fundamental definition of cvec: that a given value at
index n will be the number of common tones for the operation TnI.
"""
cvec = self.amaj.cvec()
for n in range(12):
original = set(self.amaj)
transformed = set(self.amaj.invert().transpose(n))
common_tones = len(original & transformed)
self.assertEqual(common_tones, cvec[n])
def test_cvec_empty(self):
self.assertEqual(self.empty.cvec(), [0] * 12)
class FundamentalMethods(unittest.TestCase):
def setUp(self):
self.pcs = PcSet('0146')
# These also test the __iter__ method, indirectly
def test_inverse(self):
"""
Test the principle that, for a given pcset, the sum of the
corresponding elements in the original and the inverse will
always be 0 (in mod 12 arithmetic).
"""
inv = self.pcs.invert()
self.assertEqual(len(self.pcs), len(inv))
for n, i in zip(self.pcs, inv):
self.assertEqual((n + i) % 12, 0)
def test_transpose(self):
"""
Tests the principle that, for a given pcset, the difference
between the corresponding element in the original and the
transposed version will always be equal to the transposition
amount (in mod 12 arithmetic).
"""
for x in range(12):
trx = self.pcs.transpose(x)
self.assertEqual(len(self.pcs), len(trx))
for n, t in zip(self.pcs, trx):
self.assertEqual((t - n) % 12, x % 12)
def test_transpose_float(self):
trf = self.pcs.transpose(3.6)
for n, t in zip(self.pcs, trf):
self.assertEqual((t - n) % 12, 3)
def test_transpose_empty(self):
es = PcSet([])
self.assertEqual(list(es.transpose(3)), [])