ref: 7c8d32ab48f53ff465f1aae8bc0ec45df49e23d5
dir: /python/tests/test_specdesc.py/
#! /usr/bin/env python
from numpy.testing import TestCase, assert_equal, assert_almost_equal
from numpy import random, arange, log, zeros
from aubio import specdesc, cvec
from math import pi
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('float32')
spec.phas = random.random_sample((len(spec.phas),)).astype('float32')
#print "%20s" % method, str(o(spec))
assert (o(spec) != 0.)
def test_hfc(self):
o = specdesc("hfc", buf_size)
spec = cvec(buf_size)
# hfc of zeros is zero
assert_equal (o(spec), 0.)
# hfc of ones is sum of all bin numbers
spec.norm[:] = 1
expected = sum(range(buf_size/2 + 2))
assert_equal (o(spec), expected)
# changing phase doesn't change anything
spec.phas[:] = 1
assert_equal (o(spec), sum(range(buf_size/2 + 2)))
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('float32')
# 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('float32')
# 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='float32')
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='float32')
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='float32')
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='float32')
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='float32')
c.norm = a
assert_equal( sum(a), o(c))
assert_equal( 0, o(c))
c.norm = zeros(c.length, dtype='float32')
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='float32')
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(2048)
ramp = arange(c.length, dtype='float32')
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='float32')
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='float32')
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='float32')
k = arange(c.length, dtype='float32')
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='float32')
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='float32')
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='float32')
k = arange(c.length, dtype='float32')
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='float32')
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='float32')
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='float32')
k = arange(c.length, dtype='float32')
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))
if __name__ == '__main__':
from unittest import main
main()