1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
|
#! /usr/bin/env python
from unittest import main
from numpy.testing import TestCase, assert_equal, assert_almost_equal
from numpy import random, arange, log, zeros
from aubio import specdesc, cvec, float_type
methods = ["default",
"energy",
"hfc",
"complex",
"phase",
"specdiff",
"kl",
"mkl",
"specflux",
"centroid",
"spread",
"skewness",
"kurtosis",
"slope",
"decrease",
"rolloff"]
buf_size = 2048
class aubio_specdesc(TestCase):
def test_members(self):
o = specdesc()
for method in methods:
o = specdesc(method, buf_size)
assert_equal ([o.buf_size, o.method], [buf_size, method])
spec = cvec(buf_size)
spec.norm[0] = 1
spec.norm[1] = 1./2.
#print "%20s" % method, str(o(spec))
o(spec)
spec.norm = random.random_sample((len(spec.norm),)).astype(float_type)
spec.phas = random.random_sample((len(spec.phas),)).astype(float_type)
#print "%20s" % method, str(o(spec))
assert (o(spec) != 0.)
def test_phase(self):
o = specdesc("phase", buf_size)
spec = cvec(buf_size)
# phase of zeros is zero
assert_equal (o(spec), 0.)
spec.phas = random.random_sample((len(spec.phas),)).astype(float_type)
# phase of random is not zero
spec.norm[:] = 1
assert (o(spec) != 0.)
def test_specdiff(self):
o = specdesc("phase", buf_size)
spec = cvec(buf_size)
# specdiff of zeros is zero
assert_equal (o(spec), 0.)
spec.phas = random.random_sample((len(spec.phas),)).astype(float_type)
# phase of random is not zero
spec.norm[:] = 1
assert (o(spec) != 0.)
def test_hfc(self):
o = specdesc("hfc")
c = cvec()
assert_equal( 0., o(c))
a = arange(c.length, dtype=float_type)
c.norm = a
assert_equal (a, c.norm)
assert_equal ( sum(a*(a+1)), o(c))
def test_complex(self):
o = specdesc("complex")
c = cvec()
assert_equal( 0., o(c))
a = arange(c.length, dtype=float_type)
c.norm = a
assert_equal (a, c.norm)
# the previous run was on zeros, so previous frames are still 0
# so we have sqrt ( abs ( r2 ^ 2) ) == r2
assert_equal ( sum(a), o(c))
# second time. c.norm = a, so, r1 = r2, and the euclidian distance is 0
assert_equal ( 0, o(c))
def test_kl(self):
o = specdesc("kl")
c = cvec()
assert_equal( 0., o(c))
a = arange(c.length, dtype=float_type)
c.norm = a
assert_almost_equal( sum(a * log(1.+ a/1.e-1 ) ) / o(c), 1., decimal=6)
def test_mkl(self):
o = specdesc("mkl")
c = cvec()
assert_equal( 0., o(c))
a = arange(c.length, dtype=float_type)
c.norm = a
assert_almost_equal( sum(log(1.+ a/1.e-1 ) ) / o(c), 1, decimal=6)
def test_specflux(self):
o = specdesc("specflux")
c = cvec()
assert_equal( 0., o(c))
a = arange(c.length, dtype=float_type)
c.norm = a
assert_equal( sum(a), o(c))
assert_equal( 0, o(c))
c.norm = zeros(c.length, dtype=float_type)
assert_equal( 0, o(c))
def test_centroid(self):
o = specdesc("centroid")
c = cvec()
# make sure centroid of zeros is zero
assert_equal( 0., o(c))
a = arange(c.length, dtype=float_type)
c.norm = a
centroid = sum(a*a) / sum(a)
assert_almost_equal (centroid, o(c), decimal = 2)
c.norm = a * .5
assert_almost_equal (centroid, o(c), decimal = 2)
def test_spread(self):
o = specdesc("spread")
c = cvec(1024)
ramp = arange(c.length, dtype=float_type)
assert_equal( 0., o(c))
a = ramp
c.norm = a
centroid = sum(a*a) / sum(a)
spread = sum( a * pow(ramp - centroid, 2.) ) / sum(a)
assert_almost_equal (o(c), spread, decimal = 1)
def test_skewness(self):
o = specdesc("skewness")
c = cvec()
assert_equal( 0., o(c))
a = arange(c.length, dtype=float_type)
c.norm = a
centroid = sum(a*a) / sum(a)
spread = sum( (a - centroid)**2 *a) / sum(a)
skewness = sum( (a - centroid)**3 *a) / sum(a) / spread **1.5
assert_almost_equal (skewness, o(c), decimal = 2)
c.norm = a * 3
assert_almost_equal (skewness, o(c), decimal = 2)
def test_kurtosis(self):
o = specdesc("kurtosis")
c = cvec()
assert_equal( 0., o(c))
a = arange(c.length, dtype=float_type)
c.norm = a
centroid = sum(a*a) / sum(a)
spread = sum( (a - centroid)**2 *a) / sum(a)
kurtosis = sum( (a - centroid)**4 *a) / sum(a) / spread **2
assert_almost_equal (kurtosis, o(c), decimal = 2)
def test_slope(self):
o = specdesc("slope")
c = cvec()
assert_equal( 0., o(c))
a = arange(c.length * 2, 0, -2, dtype=float_type)
k = arange(c.length, dtype=float_type)
c.norm = a
num = len(a) * sum(k*a) - sum(k)*sum(a)
den = (len(a) * sum(k**2) - sum(k)**2)
slope = num/den/sum(a)
assert_almost_equal (slope, o(c), decimal = 5)
a = arange(0, c.length * 2, +2, dtype=float_type)
c.norm = a
num = len(a) * sum(k*a) - sum(k)*sum(a)
den = (len(a) * sum(k**2) - sum(k)**2)
slope = num/den/sum(a)
assert_almost_equal (slope, o(c), decimal = 5)
a = arange(0, c.length * 2, +2, dtype=float_type)
c.norm = a * 2
assert_almost_equal (slope, o(c), decimal = 5)
def test_decrease(self):
o = specdesc("decrease")
c = cvec()
assert_equal( 0., o(c))
a = arange(c.length * 2, 0, -2, dtype=float_type)
k = arange(c.length, dtype=float_type)
c.norm = a
decrease = sum((a[1:] - a [0]) / k[1:]) / sum(a[1:])
assert_almost_equal (decrease, o(c), decimal = 5)
a = arange(0, c.length * 2, +2, dtype=float_type)
c.norm = a
decrease = sum((a[1:] - a [0]) / k[1:]) / sum(a[1:])
assert_almost_equal (decrease, o(c), decimal = 5)
a = arange(0, c.length * 2, +2, dtype=float_type)
c.norm = a * 2
decrease = sum((a[1:] - a [0]) / k[1:]) / sum(a[1:])
assert_almost_equal (decrease, o(c), decimal = 5)
def test_rolloff(self):
o = specdesc("rolloff")
c = cvec()
assert_equal( 0., o(c))
a = arange(c.length * 2, 0, -2, dtype=float_type)
c.norm = a
cumsum = .95*sum(a*a)
i = 0; rollsum = 0
while rollsum < cumsum:
rollsum += a[i]*a[i]
i+=1
rolloff = i
assert_equal (rolloff, o(c))
class aubio_specdesc_wrong(TestCase):
def test_negative(self):
with self.assertRaises(ValueError):
specdesc("default", -10)
def test_unknown(self):
# FIXME should fail?
with self.assertRaises(ValueError):
specdesc("unknown", 512)
self.skipTest('todo: new_specdesc should fail on wrong method')
if __name__ == '__main__':
main()
|
