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#!/usr/bin/env python
# -*- encoding: utf-8 -*-
"""Tests for segmentation functions"""
from typing import Union
import warnings
# Disable cache
import os
try:
os.environ.pop("LIBROSA_CACHE_DIR")
except KeyError:
pass
import numpy as np
import scipy
from scipy.spatial.distance import cdist, pdist, squareform
import pytest
from test_core import srand
import librosa
__EXAMPLE_FILE = os.path.join("tests", "data", "test1_22050.wav")
@pytest.mark.parametrize("n", [20, 250])
@pytest.mark.parametrize("k", [None, 5])
@pytest.mark.parametrize("metric", ["l2", "cosine"])
def test_cross_similarity(n, k, metric):
srand()
# Make a data matrix
data_ref = np.random.randn(3, n)
data = np.random.randn(3, n + 7)
D = librosa.segment.cross_similarity(data, data_ref, k=k, metric=metric)
assert D.shape == (data_ref.shape[1], data.shape[1])
if k is not None:
real_k = min(k, n)
assert not np.any(D.sum(axis=0) != real_k)
def test_cross_similarity_sparse():
srand()
data_ref = np.random.randn(3, 50)
data = np.random.randn(3, 100)
D_sparse = librosa.segment.cross_similarity(data, data_ref, sparse=True)
D_dense = librosa.segment.cross_similarity(data, data_ref, sparse=False)
assert scipy.sparse.isspmatrix(D_sparse)
assert np.allclose(D_sparse.todense(), D_dense)
def test_cross_similarity_distance():
srand()
data_ref = np.random.randn(3, 50)
data = np.random.randn(3, 70)
distance = cdist(data.T, data_ref.T, metric="sqeuclidean").T
rec = librosa.segment.cross_similarity(
data, data_ref, mode="distance", metric="sqeuclidean", sparse=True
)
i, j, vals = scipy.sparse.find(rec)
assert np.allclose(vals, distance[i, j])
@pytest.mark.parametrize("metric", ["sqeuclidean", "cityblock"])
@pytest.mark.parametrize("bandwidth", [None, 1])
def test_cross_similarity_affinity(metric, bandwidth):
srand()
data_ref = np.random.randn(3, 70)
data = np.random.randn(3, 50)
distance = cdist(data_ref.T, data.T, metric=metric)
rec = librosa.segment.cross_similarity(
data, data_ref, mode="affinity", metric=metric, sparse=True, bandwidth=bandwidth
)
i, j, vals = scipy.sparse.find(rec)
logvals = np.log(vals)
ratio = -logvals / (distance[i, j] + librosa.util.tiny(distance))
if bandwidth is None:
assert np.allclose(-logvals, distance[i, j] * np.nanmax(ratio))
else:
assert np.allclose(-logvals, distance[i, j] * bandwidth)
def test_cross_similarity_full():
data = np.eye(10)
data_ref = np.eye(10)
rec = librosa.segment.cross_similarity(data, data_ref, mode="distance", full=True)
assert np.all(rec >= 0)
@pytest.mark.xfail(raises=librosa.ParameterError)
def test_cross_similarity_badmode():
srand()
data_ref = np.random.randn(3, 70)
data = np.random.randn(3, 50)
rec = librosa.segment.cross_similarity(
data, data_ref, mode="NOT A MODE", metric="sqeuclidean", sparse=True
)
@pytest.mark.xfail(raises=librosa.ParameterError)
def test_cross_similarity_bad_bandwidth():
srand()
data_ref = np.random.randn(3, 50)
data = np.random.randn(3, 70)
rec = librosa.segment.cross_similarity(
data, data_ref, bandwidth=-2, mode="affinity"
)
@pytest.mark.xfail(raises=librosa.ParameterError)
def test_cross_similarity_fail_mismatch():
D1 = np.zeros((3, 3))
D2 = np.zeros((2, 3))
librosa.segment.cross_similarity(D1, D2)
def test_cross_similarity_multi():
srand()
X1 = np.random.randn(2, 10, 100)
X2 = np.random.randn(2, 10, 50)
R = librosa.segment.cross_similarity(X1, X2, mode="affinity")
# This should give the same output as if we stacked out the leading channel
X1f = np.concatenate([X1[0], X1[1]], axis=0)
X2f = np.concatenate([X2[0], X2[1]], axis=0)
Rf = librosa.segment.cross_similarity(X1f, X2f, mode="affinity")
assert np.allclose(R, Rf)
@pytest.mark.parametrize("n", [20, 250])
@pytest.mark.parametrize("k", [None, 5])
@pytest.mark.parametrize("sym", [False, True])
@pytest.mark.parametrize("width", [1, 5])
@pytest.mark.parametrize("metric", ["l2", "cosine"])
@pytest.mark.parametrize("self", [False, True])
def test_recurrence_matrix(n, k, width, sym, metric, self):
srand()
# Make a data matrix
data = np.random.randn(3, n)
D = librosa.segment.recurrence_matrix(
data, k=k, width=width, sym=sym, axis=-1, metric=metric, self=self
)
# First test for symmetry
if sym:
assert np.allclose(D, D.T)
# Test for target-axis invariance
D_trans = librosa.segment.recurrence_matrix(
data.T, k=k, width=width, sym=sym, axis=0, metric=metric, self=self
)
assert np.allclose(D, D_trans)
# If not symmetric, test for correct number of links
if not sym and k is not None:
real_k = min(k, n - width)
if self:
real_k += 1
assert not np.any(D.sum(axis=0) != real_k)
if self:
assert np.allclose(np.diag(D), True)
# Make sure the +- width diagonal is hollow
# It's easier to test if zeroing out the triangles leaves nothing
idx = np.tril_indices(n, k=width)
D[idx] = False
D.T[idx] = False
assert not np.any(D)
@pytest.mark.xfail(raises=librosa.ParameterError)
@pytest.mark.parametrize("data", [np.ones((3, 10))])
@pytest.mark.parametrize("width", [-1, 0, 11])
def test_recurrence_badwidth(data, width):
librosa.segment.recurrence_matrix(data, width=width)
@pytest.mark.parametrize("self", [False, True])
def test_recurrence_sparse(self):
srand()
data = np.random.randn(3, 100)
D_sparse = librosa.segment.recurrence_matrix(data, sparse=True, self=self)
D_dense = librosa.segment.recurrence_matrix(data, sparse=False, self=self)
assert scipy.sparse.isspmatrix(D_sparse)
assert np.allclose(D_sparse.todense(), D_dense)
if self:
assert np.allclose(D_sparse.diagonal(), True)
else:
assert np.allclose(D_sparse.diagonal(), False)
@pytest.mark.parametrize("self", [False, True])
def test_recurrence_distance(self):
srand()
data = np.random.randn(3, 100)
distance = squareform(pdist(data.T, metric="sqeuclidean"))
rec = librosa.segment.recurrence_matrix(
data, mode="distance", metric="sqeuclidean", sparse=True, self=self
)
i, j, vals = scipy.sparse.find(rec)
assert np.allclose(vals, distance[i, j])
assert np.allclose(rec.diagonal(), 0.0)
@pytest.mark.parametrize("metric", ["sqeuclidean", "cityblock"])
@pytest.mark.parametrize("bandwidth", [None, 1])
@pytest.mark.parametrize("self", [False, True])
def test_recurrence_affinity(metric, bandwidth, self):
srand()
data = np.random.randn(3, 100)
distance = squareform(pdist(data.T, metric=metric))
rec = librosa.segment.recurrence_matrix(
data,
mode="affinity",
metric=metric,
sparse=True,
bandwidth=bandwidth,
self=self,
)
if self:
assert np.allclose(rec.diagonal(), 1.0)
else:
assert np.allclose(rec.diagonal(), 0.0)
i, j, vals = scipy.sparse.find(rec)
logvals = np.log(vals)
# After log-scaling, affinity will match distance up to a constant factor
ratio = -logvals / (distance[i, j] + librosa.util.tiny(distance))
if bandwidth is None:
# Estimate the global bandwidth using non-zero distances
assert np.allclose(-logvals, distance[i, j] * np.nanmax(ratio))
else:
assert np.allclose(-logvals, distance[i, j] * bandwidth)
def test_recurrence_full():
data = np.eye(10)
rec = librosa.segment.recurrence_matrix(
data, mode="distance", metric="euclidean", sparse=False, full=True
)
assert np.all(rec >= 0)
@pytest.mark.xfail(raises=librosa.ParameterError)
def test_big_width():
srand()
data = np.random.randn(3, 100)
width = 55
auto_k_rec = librosa.segment.recurrence_matrix(data, mode="affinity", width=width)
@pytest.mark.xfail(raises=librosa.ParameterError)
def test_empty_data_recurrence():
data = np.zeros((10, 10))
librosa.segment.recurrence_matrix(data, mode="affinity")
@pytest.mark.xfail(raises=librosa.ParameterError)
def test_empty_rows_recurrence():
data = np.zeros((10, 10))
data[0, 5] = 1
librosa.segment.recurrence_matrix(data, mode="affinity", bandwidth="mean_k")
def test_empty_rows_recurrence_okay():
data = np.zeros((10, 10))
data[0, 5] = 1
librosa.segment.recurrence_matrix(data, mode="affinity", bandwidth="med_k_scalar")
def test_recurrence_multi():
srand()
X = np.random.randn(2, 10, 100)
R = librosa.segment.recurrence_matrix(X, mode="affinity")
# This should give the same output as if we stacked out the leading channel
Xf = np.concatenate([X[0], X[1]], axis=0)
Rf = librosa.segment.recurrence_matrix(Xf, mode="affinity")
assert np.allclose(R, Rf)
@pytest.mark.xfail(raises=librosa.ParameterError)
def test_recurrence_badmode():
srand()
data = np.random.randn(3, 100)
rec = librosa.segment.recurrence_matrix(
data, mode="NOT A MODE", metric="sqeuclidean", sparse=True
)
@pytest.mark.xfail(raises=librosa.ParameterError)
@pytest.mark.parametrize(
"bandwidth", [-2, "FAKE", np.random.randn(2, 5), -1 * np.random.randn(100, 100)]
)
def test_recurrence_bad_bandwidth(bandwidth):
srand()
data = np.random.randn(3, 100)
rec = librosa.segment.recurrence_matrix(data, bandwidth=bandwidth, mode="affinity")
def test_recurrence_array_bandwidth():
srand()
data = np.random.randn(3, 100)
bw = np.random.random((100, 100)) + 0.1
rec = librosa.segment.recurrence_matrix(data, bandwidth=bw, mode="affinity")
@pytest.mark.parametrize(
"bw_mode", ["mean_k", "gmean_k", "mean_k_avg", "gmean_k_avg", "mean_k_avg_and_pair"]
)
def test_automatic_bandwidth(bw_mode):
srand()
data = np.random.randn(3, 100)
rec = librosa.segment.recurrence_matrix(data, bandwidth=bw_mode, mode="affinity")
@pytest.mark.parametrize("n", [10, 100, 500])
@pytest.mark.parametrize("pad", [False, True])
def test_recurrence_to_lag(n, pad):
srand()
data = np.random.randn(17, n)
rec = librosa.segment.recurrence_matrix(data)
lag = librosa.segment.recurrence_to_lag(rec, pad=pad, axis=-1)
lag2 = librosa.segment.recurrence_to_lag(rec.T, pad=pad, axis=0)
assert np.allclose(lag, lag2.T)
x: Union[ellipsis, slice] = Ellipsis
if pad:
x = slice(n)
for i in range(n):
assert np.allclose(rec[:, i], np.roll(lag[:, i], i)[x])
@pytest.mark.xfail(raises=librosa.ParameterError)
@pytest.mark.parametrize("size", [(17,), (17, 34), (17, 17, 17)])
def test_recurrence_to_lag_fail(size):
librosa.segment.recurrence_to_lag(np.zeros(size))
@pytest.mark.parametrize("pad", [False, True])
@pytest.mark.parametrize("axis", [0, 1, -1])
@pytest.mark.parametrize(
"rec", [librosa.segment.recurrence_matrix(np.random.randn(3, 100), sparse=True)]
)
@pytest.mark.parametrize("fmt", ["csc", "csr", "lil", "bsr", "dia"])
# This warning is expected when using fmt='dia'
@pytest.mark.filterwarnings("ignore:Constructing a DIA matrix")
def test_recurrence_to_lag_sparse(pad, axis, rec, fmt):
rec_dense = rec.toarray()
rec = rec.asformat(fmt)
lag_sparse = librosa.segment.recurrence_to_lag(rec, pad=pad, axis=axis)
lag_dense = librosa.segment.recurrence_to_lag(rec_dense, pad=pad, axis=axis)
assert scipy.sparse.issparse(lag_sparse)
assert rec.format == lag_sparse.format
assert rec.dtype == lag_sparse.dtype
assert np.allclose(lag_sparse.toarray(), lag_dense)
@pytest.mark.parametrize("n", [10, 100])
@pytest.mark.parametrize("pad", [False, True])
def test_lag_to_recurrence(n, pad):
srand()
data = np.random.randn(17, n)
rec = librosa.segment.recurrence_matrix(data)
lag = librosa.segment.recurrence_to_lag(rec, pad=pad, axis=-1)
lag2 = librosa.segment.recurrence_to_lag(rec.T, pad=pad, axis=0).T
rec2 = librosa.segment.lag_to_recurrence(lag)
assert np.allclose(rec, rec2)
assert np.allclose(lag, lag2)
@pytest.mark.xfail(raises=librosa.ParameterError)
@pytest.mark.parametrize("size", [(17,), (17, 35), (17, 17, 17)])
def test_lag_to_recurrence_badsize(size):
librosa.segment.lag_to_recurrence(np.zeros(size))
@pytest.mark.parametrize("axis", [0, 1, -1])
@pytest.mark.parametrize("pad", [False, True])
def test_lag_to_recurrence_sparse(axis, pad):
srand()
data = np.random.randn(3, 10)
rec = librosa.segment.recurrence_matrix(data, sparse=True)
lag = librosa.segment.recurrence_to_lag(rec, pad=pad, axis=axis)
lag_dense = lag.toarray()
rec_sparse = librosa.segment.lag_to_recurrence(lag, axis=axis)
rec_dense = librosa.segment.lag_to_recurrence(lag_dense, axis=axis)
assert scipy.sparse.issparse(rec_sparse)
assert rec_sparse.format == lag.format
assert rec_sparse.dtype == lag.dtype
assert np.allclose(rec_sparse.toarray(), rec_dense)
@pytest.mark.xfail(raises=librosa.ParameterError)
def test_lag_to_recurrence_sparse_badaxis():
srand()
data = np.random.randn(3, 100)
R = librosa.segment.recurrence_matrix(data, sparse=True)
L = librosa.segment.recurrence_to_lag(R)
librosa.segment.lag_to_recurrence(L, axis=2)
def test_timelag_filter():
srand()
X = np.random.randn(15, 15)
d_pos0 = librosa.segment.timelag_filter(lambda X: X)
assert np.allclose(X, d_pos0(X))
def test_timelag_filter_pos1():
srand()
X = np.random.randn(15, 15)
d_pos1 = librosa.segment.timelag_filter(lambda _, X: X, index=1)
assert np.allclose(X, d_pos1(None, X))
@pytest.fixture(scope="module")
def ysr():
return librosa.load(__EXAMPLE_FILE)
@pytest.fixture(scope="module")
def mfcc(ysr):
y, sr = ysr
return librosa.feature.mfcc(y=y, sr=sr)
@pytest.fixture(scope="module")
def beats(ysr):
y, sr = ysr
tempo, beats = librosa.beat.beat_track(y=y, sr=sr)
return beats
@pytest.mark.parametrize("n_segments", [1, 2, 3, 4, 100])
def test_subsegment(mfcc, beats, n_segments):
subseg = librosa.segment.subsegment(mfcc, beats, n_segments=n_segments, axis=-1)
# Make sure that the boundaries are within range
assert subseg.min() >= 0
assert subseg.max() <= mfcc.shape[-1]
# Make sure that all input beats are retained
for b in beats:
assert b in subseg
# Do we have a 0 marker?
assert 0 in subseg
# Did we over-segment? +2 here for 0- and end-padding
assert len(subseg) <= n_segments * (len(beats) + 2)
# Verify that running on the transpose gives the same answer
ss2 = librosa.segment.subsegment(mfcc.T, beats, n_segments=n_segments, axis=0)
assert np.allclose(subseg, ss2)
@pytest.mark.xfail(raises=librosa.ParameterError)
@pytest.mark.parametrize("n_segments", [-1, 0])
def test_subsegment_badn(mfcc, beats, n_segments):
librosa.segment.subsegment(mfcc, beats, n_segments=n_segments, axis=-1)
@pytest.fixture
def R_input():
X = np.random.randn(30, 5)
return X.dot(X.T)
@pytest.mark.parametrize("window", ["rect", "hann"])
@pytest.mark.parametrize("n", [5, 9])
@pytest.mark.parametrize("max_ratio", [1.0, 1.5, 2.0])
@pytest.mark.parametrize("min_ratio", [None, 1.0])
@pytest.mark.parametrize("n_filters", [1, 2, 5])
@pytest.mark.parametrize("zero_mean", [False, True])
@pytest.mark.parametrize("clip", [False, True])
@pytest.mark.parametrize("kwargs", [dict(), dict(mode="reflect")])
def test_path_enhance(
R_input, window, n, max_ratio, min_ratio, n_filters, zero_mean, clip, kwargs
):
R_smooth = librosa.segment.path_enhance(
R_input,
window=window,
n=n,
max_ratio=max_ratio,
min_ratio=min_ratio,
n_filters=n_filters,
zero_mean=zero_mean,
clip=clip,
**kwargs,
)
assert R_smooth.shape == R_input.shape
assert np.all(np.isfinite(R_smooth))
assert R_smooth.dtype == R_input.dtype
if clip:
assert np.min(R_smooth) >= 0
@pytest.mark.xfail(raises=librosa.ParameterError)
def test_path_enhance_badratio(R_input):
# We can't have min_ratio > max_ratio
librosa.segment.path_enhance(R_input, n=5, min_ratio=3, max_ratio=2)
def test_path_enhance_multi():
srand()
R = np.random.randn(2, 100, 100)
Rs0 = librosa.segment.path_enhance(R[0], n=5)
Rs1 = librosa.segment.path_enhance(R[1], n=5)
Rs = librosa.segment.path_enhance(R, n=5)
assert np.allclose(Rs0, Rs[0])
assert np.allclose(Rs1, Rs[1])
assert not np.allclose(Rs0, Rs1)
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