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test_features_beats_hmm.py
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# encoding: utf-8
# pylint: skip-file
"""
This file contains tests for the madmom.features.beats_hmm module.
"""
from __future__ import absolute_import, division, print_function
import unittest
from madmom.ml.hmm import *
from madmom.features.beats_hmm import *
# state spaces
class TestBeatStateSpaceClass(unittest.TestCase):
def test_types(self):
bss = BeatStateSpace(1, 4)
self.assertIsInstance(bss.intervals, np.ndarray)
self.assertIsInstance(bss.state_positions, np.ndarray)
self.assertIsInstance(bss.state_intervals, np.ndarray)
self.assertIsInstance(bss.first_states, np.ndarray)
self.assertIsInstance(bss.last_states, np.ndarray)
self.assertIsInstance(bss.num_states, int)
self.assertIsInstance(bss.num_intervals, int)
# dtypes
self.assertTrue(bss.intervals.dtype == np.uint32)
self.assertTrue(bss.state_positions.dtype == np.float)
self.assertTrue(bss.state_intervals.dtype == np.uint32)
self.assertTrue(bss.first_states.dtype == np.uint32)
self.assertTrue(bss.last_states.dtype == np.uint32)
def test_values(self):
bss = BeatStateSpace(1, 4)
self.assertTrue(np.allclose(bss.intervals, [1, 2, 3, 4]))
self.assertTrue(np.allclose(bss.state_positions,
[0, 0, 0.5, 0, 1. / 3, 2. / 3,
0, 0.25, 0.5, 0.75]))
self.assertTrue(np.allclose(bss.state_intervals,
[1, 2, 2, 3, 3, 3, 4, 4, 4, 4]))
self.assertTrue(np.allclose(bss.first_states, [0, 1, 3, 6]))
self.assertTrue(np.allclose(bss.last_states, [0, 2, 5, 9]))
self.assertTrue(bss.num_states == 10)
self.assertTrue(bss.num_intervals == 4)
# other intervals
bss = BeatStateSpace(2, 6)
self.assertTrue(np.allclose(bss.intervals, [2, 3, 4, 5, 6]))
self.assertTrue(np.allclose(bss.state_positions,
[0, 0.5,
0, 1. / 3, 2. / 3,
0, 0.25, 0.5, 0.75,
0, 0.2, 0.4, 0.6, 0.8,
0, 1. / 6, 2. / 6, 0.5, 4. / 6, 5. / 6]))
self.assertTrue(np.allclose(bss.state_intervals,
[2, 2, 3, 3, 3, 4, 4, 4, 4,
5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6]))
self.assertTrue(np.allclose(bss.first_states, [0, 2, 5, 9, 14]))
self.assertTrue(np.allclose(bss.last_states, [1, 4, 8, 13, 19]))
self.assertTrue(bss.num_states == 20)
self.assertTrue(bss.num_intervals == 5)
class TestBarStateSpaceClass(unittest.TestCase):
def test_types(self):
bss = BarStateSpace(2, 1, 4)
self.assertIsInstance(bss.num_beats, int)
self.assertIsInstance(bss.num_states, int)
# self.assertIsInstance(bss.intervals, np.ndarray)
self.assertIsInstance(bss.state_positions, np.ndarray)
self.assertIsInstance(bss.state_intervals, np.ndarray)
self.assertIsInstance(bss.first_states, list)
self.assertIsInstance(bss.last_states, list)
# dtypes
# self.assertTrue(bss.intervals.dtype == np.uint32)
self.assertTrue(bss.state_positions.dtype == np.float)
self.assertTrue(bss.state_intervals.dtype == np.uint32)
def test_values(self):
# 2 beats, intervals 1 to 4
bss = BarStateSpace(2, 1, 4)
self.assertTrue(bss.num_beats == 2)
self.assertTrue(bss.num_states == 20)
# self.assertTrue(np.allclose(bss.intervals, [1, 2, 3, 4]))
self.assertTrue(np.allclose(bss.state_positions,
[0, 0, 0.5, 0, 1. / 3, 2. / 3,
0, 0.25, 0.5, 0.75,
1, 1, 1.5, 1, 4. / 3, 5. / 3,
1, 1.25, 1.5, 1.75]))
self.assertTrue(np.allclose(bss.state_intervals,
[1, 2, 2, 3, 3, 3, 4, 4, 4, 4,
1, 2, 2, 3, 3, 3, 4, 4, 4, 4]))
self.assertTrue(np.allclose(bss.first_states, [[0, 1, 3, 6],
[10, 11, 13, 16]]))
self.assertTrue(np.allclose(bss.last_states, [[0, 2, 5, 9],
[10, 12, 15, 19]]))
# other values: 1 beat, intervals 2 to 6
bss = BarStateSpace(1, 2, 6)
self.assertTrue(bss.num_beats == 1)
self.assertTrue(bss.num_states == 20)
# self.assertTrue(np.allclose(bss.intervals, [2, 3, 4, 5, 6]))
self.assertTrue(np.allclose(bss.state_positions,
[0, 0.5,
0, 1. / 3, 2. / 3,
0, 0.25, 0.5, 0.75,
0, 0.2, 0.4, 0.6, 0.8,
0, 1. / 6, 2. / 6, 0.5, 4. / 6, 5. / 6]))
self.assertTrue(np.allclose(bss.state_intervals,
[2, 2, 3, 3, 3, 4, 4, 4, 4,
5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6]))
self.assertTrue(np.allclose(bss.first_states, [[0, 2, 5, 9, 14]]))
self.assertTrue(np.allclose(bss.last_states, [[1, 4, 8, 13, 19]]))
class TestMultiPatternStateSpaceClass(unittest.TestCase):
def test_types(self):
# test with 2 BeatStateSpaces as before
# mpss = MultiPatternStateSpace([1, 2], [4, 6])
bss1 = BeatStateSpace(1, 4)
bss2 = BeatStateSpace(2, 6)
mpss = MultiPatternStateSpace([bss1, bss2])
self.assertIsInstance(mpss.state_spaces, list)
self.assertIsInstance(mpss.state_positions, np.ndarray)
self.assertIsInstance(mpss.state_intervals, np.ndarray)
self.assertIsInstance(mpss.num_states, int)
# self.assertIsInstance(mpss.num_intervals, int)
self.assertIsInstance(mpss.num_patterns, int)
# dtypes
# self.assertTrue(mpss.intervals.dtype == np.uint32)
self.assertTrue(mpss.state_positions.dtype == np.float)
self.assertTrue(mpss.state_intervals.dtype == np.uint32)
# self.assertTrue(mpss.first_states.dtype == np.uint32)
# self.assertTrue(mpss.last_states.dtype == np.uint32)
def test_values_beat(self):
# test with 2 BeatStateSpaces as before
# mpss = MultiPatternStateSpace([1, 2], [4, 6])
bss1 = BeatStateSpace(1, 4)
bss2 = BeatStateSpace(2, 6)
mpss = MultiPatternStateSpace([bss1, bss2])
self.assertTrue(np.allclose(mpss.state_spaces[0].intervals,
[1, 2, 3, 4]))
self.assertTrue(np.allclose(mpss.state_spaces[1].intervals,
[2, 3, 4, 5, 6]))
self.assertTrue(mpss.num_states == 30)
# self.assertTrue(mpss.num_intervals == [4, 5])
self.assertTrue(mpss.num_patterns == 2)
# first pattern
self.assertTrue(np.allclose(mpss.state_positions[:10],
[0, 0, 0.5, 0, 1. / 3, 2. / 3,
0, 0.25, 0.5, 0.75]))
self.assertTrue(np.allclose(mpss.state_intervals[:10],
[1, 2, 2, 3, 3, 3, 4, 4, 4, 4]))
self.assertTrue(np.allclose(mpss.state_patterns[:10], 0))
# second pattern
self.assertTrue(np.allclose(mpss.state_positions[10:],
[0, 0.5,
0, 1. / 3, 2. / 3,
0, 0.25, 0.5, 0.75,
0, 0.2, 0.4, 0.6, 0.8,
0, 1. / 6, 2. / 6, 0.5, 4. / 6, 5. / 6]))
self.assertTrue(np.allclose(mpss.state_intervals[10:],
[2, 2, 3, 3, 3, 4, 4, 4, 4,
5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6]))
self.assertTrue(np.allclose(mpss.state_patterns[10:], 1))
def test_values_bar(self):
# test with 2 BarStateSpaces
bss1 = BarStateSpace(2, 1, 4)
bss2 = BarStateSpace(1, 2, 6)
mpss = MultiPatternStateSpace([bss1, bss2])
# self.assertTrue(np.allclose(mpss.state_spaces[0].intervals,
# [1, 2, 3, 4]))
# self.assertTrue(np.allclose(mpss.state_spaces[1].intervals,
# [2, 3, 4, 5, 6]))
self.assertTrue(mpss.num_states == 40)
# self.assertTrue(mpss.num_intervals == [4, 5])
self.assertTrue(mpss.num_patterns == 2)
# first pattern
self.assertTrue(np.allclose(mpss.state_positions[:20],
[0, 0, 0.5, 0, 1. / 3, 2. / 3,
0, 0.25, 0.5, 0.75,
1, 1, 1.5, 1, 4. / 3, 5. / 3,
1, 1.25, 1.5, 1.75]))
self.assertTrue(np.allclose(mpss.state_intervals[:20],
[1, 2, 2, 3, 3, 3, 4, 4, 4, 4,
1, 2, 2, 3, 3, 3, 4, 4, 4, 4]))
self.assertTrue(np.allclose(mpss.state_patterns[:20], 0))
# self.assertTrue(np.allclose(mpss.first_states[0],
# [[0, 1, 3, 6], [10, 11, 13, 16]]))
# self.assertTrue(np.allclose(mpss.last_states[0],
# [[0, 2, 5, 9], [10, 12, 15, 19]]))
# second pattern
self.assertTrue(np.allclose(mpss.state_positions[20:],
[0, 0.5,
0, 1. / 3, 2. / 3,
0, 0.25, 0.5, 0.75,
0, 0.2, 0.4, 0.6, 0.8,
0, 1. / 6, 2. / 6, 0.5, 4. / 6, 5. / 6]))
self.assertTrue(np.allclose(mpss.state_intervals[20:],
[2, 2, 3, 3, 3, 4, 4, 4, 4,
5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6]))
self.assertTrue(np.allclose(mpss.state_patterns[20:], 1))
# self.assertTrue(np.allclose(mpss.first_states[1],
# [[0, 2, 5, 9, 14]]))
# self.assertTrue(np.allclose(mpss.last_states[1],
# [[1, 4, 8, 13, 19]]))
# transition models
class TestBeatTransitionModelClass(unittest.TestCase):
def test_types(self):
bss = BeatStateSpace(1, 4)
tm = BeatTransitionModel(bss, 100)
self.assertIsInstance(tm, BeatTransitionModel)
self.assertIsInstance(tm, TransitionModel)
self.assertIsInstance(tm.state_space, BeatStateSpace)
self.assertIsInstance(tm.transition_lambda, float)
self.assertIsInstance(tm.states, np.ndarray)
self.assertIsInstance(tm.pointers, np.ndarray)
self.assertIsInstance(tm.probabilities, np.ndarray)
self.assertIsInstance(tm.log_probabilities, np.ndarray)
self.assertIsInstance(tm.num_states, int)
self.assertIsInstance(tm.num_transitions, int)
self.assertTrue(tm.states.dtype == np.uint32)
self.assertTrue(tm.pointers.dtype == np.uint32)
self.assertTrue(tm.probabilities.dtype == np.float)
self.assertTrue(tm.log_probabilities.dtype == np.float)
def test_values(self):
bss = BeatStateSpace(1, 4)
tm = BeatTransitionModel(bss, 100)
self.assertTrue(np.allclose(tm.states,
[0, 2, 5, 1, 5, 9, 3, 4, 5, 9, 6, 7, 8]))
self.assertTrue(np.allclose(tm.pointers,
[0, 1, 3, 4, 6, 7, 8, 10, 11, 12, 13]))
self.assertTrue(np.allclose(tm.probabilities,
[1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1]))
self.assertTrue(np.allclose(tm.log_probabilities,
[0, 0, -33.33333, 0, 0, -25,
0, 0, -33.33333, 0, 0, 0, 0]))
self.assertTrue(tm.num_states == 10)
self.assertTrue(tm.num_transitions == 13)
class TestBarTransitionModelClass(unittest.TestCase):
def test_types(self):
bss = BarStateSpace(2, 1, 4)
tm = BarTransitionModel(bss, 100)
self.assertIsInstance(tm, BarTransitionModel)
self.assertIsInstance(tm, TransitionModel)
self.assertIsInstance(tm.state_space, BarStateSpace)
self.assertIsInstance(tm.transition_lambda, list)
self.assertIsInstance(tm.states, np.ndarray)
self.assertIsInstance(tm.pointers, np.ndarray)
self.assertIsInstance(tm.probabilities, np.ndarray)
self.assertIsInstance(tm.log_probabilities, np.ndarray)
self.assertIsInstance(tm.num_states, int)
self.assertIsInstance(tm.num_transitions, int)
self.assertTrue(tm.states.dtype == np.uint32)
self.assertTrue(tm.pointers.dtype == np.uint32)
self.assertTrue(tm.probabilities.dtype == np.float)
self.assertTrue(tm.log_probabilities.dtype == np.float)
def test_values(self):
bss = BarStateSpace(2, 1, 4)
tm = BarTransitionModel(bss, 100)
self.assertTrue(np.allclose(tm.states,
[10, 12, 15, 1, 15, 19, 3, 4, 15, 19, 6, 7,
8, 0, 2, 5, 11, 5, 9, 13, 14, 5, 9, 16,
17, 18]))
self.assertTrue(np.allclose(tm.pointers,
[0, 1, 3, 4, 6, 7, 8, 10, 11, 12, 13, 14,
16, 17, 19, 20, 21, 23, 24, 25, 26]))
self.assertTrue(np.allclose(tm.probabilities,
[1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1,
1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1]))
self.assertTrue(np.allclose(tm.log_probabilities,
[0, 0, -33.33333, 0, 0, -25,
0, 0, -33.33333, 0, 0, 0, 0,
0, 0, -33.33333, 0, 0, -25,
0, 0, -33.33333, 0, 0, 0, 0]))
self.assertTrue(tm.num_states == 20)
self.assertTrue(tm.num_transitions == 26)
class TestMultiPatternTransitionModelClass(unittest.TestCase):
def test_types(self):
bss1 = BeatStateSpace(1, 4)
bss2 = BeatStateSpace(2, 6)
btm1 = BeatTransitionModel(bss1, 100)
btm2 = BeatTransitionModel(bss2, 100)
tm = MultiPatternTransitionModel([btm1, btm2])
self.assertIsInstance(tm, MultiPatternTransitionModel)
self.assertIsInstance(tm, TransitionModel)
self.assertIsInstance(tm.transition_models, list)
# right now, transition_lambda and transition_prob are None
self.assertIsNone(tm.transition_lambda)
self.assertIsNone(tm.transition_prob)
self.assertIsInstance(tm.states, np.ndarray)
self.assertIsInstance(tm.pointers, np.ndarray)
self.assertIsInstance(tm.probabilities, np.ndarray)
self.assertIsInstance(tm.log_probabilities, np.ndarray)
self.assertIsInstance(tm.num_states, int)
self.assertIsInstance(tm.num_transitions, int)
self.assertTrue(tm.states.dtype == np.uint32)
self.assertTrue(tm.pointers.dtype == np.uint32)
self.assertTrue(tm.probabilities.dtype == np.float)
self.assertTrue(tm.log_probabilities.dtype == np.float)
def test_values_beat(self):
# test with 2 BeatStateSpaces
bss1 = BeatStateSpace(1, 4)
bss2 = BeatStateSpace(2, 6)
btm1 = BeatTransitionModel(bss1, 100)
btm2 = BeatTransitionModel(bss2, 100)
tm = MultiPatternTransitionModel([btm1, btm2])
self.assertTrue(tm.num_states == 10 + 20)
self.assertTrue(tm.num_transitions == 13 + 28)
# the first pattern has 13 transitions
self.assertTrue(np.allclose(tm.states[:13],
[0, 2, 5, 1, 5, 9, 3, 4, 5, 9, 6, 7, 8]))
# the second 28
self.assertTrue(np.allclose(tm.states[13:],
[11, 14, 10, 14, 18, 12, 13, 14, 18, 23,
29, 15, 16, 17, 18, 23, 29, 19, 20, 21,
22, 23, 29, 24, 25, 26, 27, 28]))
# the first pattern has 10 states (pointers has one more element)
self.assertTrue(np.allclose(tm.pointers[:11],
[0, 1, 3, 4, 6, 7, 8, 10, 11, 12, 13]))
# the second has 20
self.assertTrue(np.allclose(tm.pointers[11:],
[15, 16, 18, 19, 20, 24, 25, 26, 27, 30,
31, 32, 33, 34, 36, 37, 38, 39, 40, 41]))
# transition probabilities
self.assertTrue(np.allclose(tm.probabilities,
[1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1,
0, 1, 1, 0, 1, 1, 0, 1, 2.06e-09, 0, 1, 1,
1, 0, 1, 5.78e-08, 1, 1, 1, 1, 2.06e-09,
1, 1, 1, 1, 1, 1]))
self.assertTrue(np.allclose(tm.log_probabilities,
[0, 0, -33.33333, 0, 0, -25, 0, 0,
-33.33333, 0, 0, 0, 0, 0,
-33.33333, 0, 0, -25, 0, 0,
-33.33333, 0, -20, -33.33333, 0, 0,
0, -25, -4.1e-09, -16.6666, 0, 0, 0,
0, -20, -5.78e-08, 0, 0, 0, 0, 0]))
def test_values_bar(self):
# test with 2 BarStateSpaces
bss1 = BarStateSpace(2, 1, 4)
bss2 = BarStateSpace(1, 2, 6)
btm1 = BarTransitionModel(bss1, 100)
btm2 = BarTransitionModel(bss2, 100)
tm = MultiPatternTransitionModel([btm1, btm2])
self.assertTrue(tm.num_states == 20 + 20)
self.assertTrue(tm.num_transitions == 26 + 28)
# the first pattern has 26 transitions
self.assertTrue(np.allclose(tm.states[:26],
[10, 12, 15, 1, 15, 19, 3, 4, 15, 19, 6, 7,
8, 0, 2, 5, 11, 5, 9, 13, 14, 5, 9, 16,
17, 18]))
# the second 28
self.assertTrue(np.allclose(tm.states[26:],
[21, 24, 20, 24, 28, 22, 23, 24, 28, 33,
39, 25, 26, 27, 28, 33, 39, 29, 30, 31,
32, 33, 39, 34, 35, 36, 37, 38]))
# the first pattern has 20 states (pointers has one more element)
self.assertTrue(np.allclose(tm.pointers[:21],
[0, 1, 3, 4, 6, 7, 8, 10, 11, 12, 13, 14,
16, 17, 19, 20, 21, 23, 24, 25, 26]))
# the second has 20
self.assertTrue(np.allclose(tm.pointers[21:],
[28, 29, 31, 32, 33, 37, 38, 39, 40, 43,
44, 45, 46, 47, 49, 50, 51, 52, 53, 54]))
# transition probabilities
self.assertTrue(np.allclose(tm.probabilities,
[1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1,
1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0,
1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1,
0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1],
atol=1e-7))
self.assertTrue(np.allclose(tm.log_probabilities,
[0, 0, -33.33333, 0, 0, -25,
0, 0, -33.33333, 0, 0, 0, 0,
0, 0, -33.33333, 0, 0, -25,
0, 0, -33.33333, 0, 0, 0,
0, 0, -33.33333, 0, 0, -25,
0, 0, -33.33333, 0, -20, -33.33333, 0,
0, 0, -25, 0, -16.6666, 0, 0,
0, 0, -20, -5.78e-08, 0, 0, 0, 0, 0]))
# observation models
class TestRNNBeatTrackingObservationModelClass(unittest.TestCase):
def setUp(self):
btss = BeatStateSpace(1, 4)
self.om = RNNBeatTrackingObservationModel(btss, 4)
self.obs = np.asarray([1, 0.1, 0.01, 0], dtype=np.float32)
def test_types(self):
self.assertIsInstance(self.om.pointers, np.ndarray)
self.assertIsInstance(self.om.densities(self.obs), np.ndarray)
self.assertIsInstance(self.om.log_densities(self.obs), np.ndarray)
self.assertTrue(self.om.pointers.dtype == np.uint32)
self.assertTrue(self.om.densities(self.obs).dtype == np.float)
self.assertTrue(self.om.log_densities(self.obs).dtype == np.float)
def test_values(self):
self.assertTrue(np.allclose(self.om.pointers,
[1, 1, 0, 1, 0, 0, 1, 0, 0, 0]))
self.assertTrue(np.allclose(self.om.densities(self.obs),
[[0, 1], [0.3, 0.1],
[0.33, 0.01], [1. / 3, 0]]))
self.assertTrue(np.allclose(self.om.log_densities(self.obs),
[[-np.inf, 0], [-1.20397281, -2.30258508],
[-1.10866262, -4.60517021],
[-1.09861229, -np.inf]]))