ref: 64d534db4359deeb5d75c26d8a3babaa3f5b3b80
dir: /python/tests/test_fft.py/
#! /usr/bin/env python
from unittest import main
from numpy.testing import TestCase
from numpy.testing import assert_equal, assert_almost_equal
import numpy as np
from aubio import fvec, fft, cvec
from math import pi, floor
from random import random
class aubio_fft_test_case(TestCase):
def test_members(self):
""" check members are set correctly """
win_s = 2048
f = fft(win_s)
assert_equal (f.win_s, win_s)
def test_output_dimensions(self):
""" check the dimensions of output """
win_s = 1024
timegrain = fvec(win_s)
f = fft (win_s)
fftgrain = f (timegrain)
del f
assert_equal (fftgrain.norm.shape, (win_s/2+1,))
assert_equal (fftgrain.phas.shape, (win_s/2+1,))
def test_zeros(self):
""" check the transform of zeros is all zeros """
win_s = 512
timegrain = fvec(win_s)
f = fft (win_s)
fftgrain = f (timegrain)
assert_equal ( fftgrain.norm, 0 )
try:
assert_equal ( fftgrain.phas, 0 )
except AssertionError:
assert_equal (fftgrain.phas[fftgrain.phas > 0], +pi)
assert_equal (fftgrain.phas[fftgrain.phas < 0], -pi)
assert_equal (np.abs(fftgrain.phas[np.abs(fftgrain.phas) != pi]), 0)
self.skipTest('fft(fvec(%d)).phas != +0, ' % win_s \
+ 'This is expected when using fftw3 on powerpc.')
def test_impulse(self):
""" check the transform of one impulse at a random place """
win_s = 256
i = int(floor(random()*win_s))
impulse = pi * random()
f = fft(win_s)
timegrain = fvec(win_s)
timegrain[i] = impulse
fftgrain = f ( timegrain )
#self.plot_this ( fftgrain.phas )
assert_almost_equal ( fftgrain.norm, impulse, decimal = 6 )
assert_equal ( fftgrain.phas <= pi, True)
assert_equal ( fftgrain.phas >= -pi, True)
def test_impulse_negative(self):
""" check the transform of a negative impulse at a random place """
win_s = 256
i = int(floor(random()*win_s))
impulse = -.1
f = fft(win_s)
timegrain = fvec(win_s)
timegrain[0] = 0
timegrain[i] = impulse
fftgrain = f ( timegrain )
#self.plot_this ( fftgrain.phas )
assert_almost_equal ( fftgrain.norm, abs(impulse), decimal = 5 )
if impulse < 0:
# phase can be pi or -pi, as it is not unwrapped
#assert_almost_equal ( abs(fftgrain.phas[1:-1]) , pi, decimal = 6 )
assert_almost_equal ( fftgrain.phas[0], pi, decimal = 6)
assert_almost_equal ( np.fmod(fftgrain.phas[-1], pi), 0, decimal = 6)
else:
#assert_equal ( fftgrain.phas[1:-1] == 0, True)
assert_equal ( fftgrain.phas[0], 0)
assert_almost_equal ( np.fmod(fftgrain.phas[-1], pi), 0, decimal = 6)
# now check the resynthesis
synthgrain = f.rdo ( fftgrain )
#self.plot_this ( fftgrain.phas.T )
assert_equal ( fftgrain.phas <= pi, True)
assert_equal ( fftgrain.phas >= -pi, True)
#self.plot_this ( synthgrain - timegrain )
assert_almost_equal ( synthgrain, timegrain, decimal = 6 )
def test_impulse_at_zero(self):
""" check the transform of one impulse at a index 0 """
win_s = 1024
impulse = pi
f = fft(win_s)
timegrain = fvec(win_s)
timegrain[0] = impulse
fftgrain = f ( timegrain )
#self.plot_this ( fftgrain.phas )
assert_equal ( fftgrain.phas[0], 0)
# could be 0 or -0 depending on fft implementation (0 for fftw3, -0 for ooura)
assert_almost_equal ( fftgrain.phas[1], 0)
assert_almost_equal ( fftgrain.norm[0], impulse, decimal = 6 )
def test_rdo_before_do(self):
""" check running fft.rdo before fft.do works """
win_s = 1024
f = fft(win_s)
fftgrain = cvec(win_s)
t = f.rdo( fftgrain )
assert_equal ( t, 0 )
def plot_this(self, this):
from pylab import plot, show
plot ( this )
show ()
def test_local_fftgrain(self):
""" check aubio.fft() result can be accessed after deletion """
def compute_grain(impulse):
win_s = 1024
timegrain = fvec(win_s)
timegrain[0] = impulse
f = fft(win_s)
fftgrain = f ( timegrain )
return fftgrain
impulse = pi
fftgrain = compute_grain(impulse)
assert_equal ( fftgrain.phas[0], 0)
assert_almost_equal ( fftgrain.phas[1], 0)
assert_almost_equal ( fftgrain.norm[0], impulse, decimal = 6 )
def test_local_reconstruct(self):
""" check aubio.fft.rdo() result can be accessed after deletion """
def compute_grain(impulse):
win_s = 1024
timegrain = fvec(win_s)
timegrain[0] = impulse
f = fft(win_s)
fftgrain = f ( timegrain )
r = f.rdo(fftgrain)
return r
impulse = pi
r = compute_grain(impulse)
assert_almost_equal ( r[0], impulse, decimal = 6)
assert_almost_equal ( r[1:], 0)
class aubio_fft_odd_sizes(TestCase):
def test_reconstruct_with_odd_size(self):
win_s = 29
self.recontruct(win_s, 'odd sizes not supported')
def test_reconstruct_with_radix15(self):
win_s = 2 ** 4 * 15
self.recontruct(win_s, 'radix 15 supported')
def test_reconstruct_with_radix5(self):
win_s = 2 ** 4 * 5
self.recontruct(win_s, 'radix 5 supported')
def test_reconstruct_with_radix3(self):
win_s = 2 ** 4 * 3
self.recontruct(win_s, 'radix 3 supported')
def recontruct(self, win_s, skipMessage):
try:
f = fft(win_s)
except RuntimeError:
self.skipTest(skipMessage)
input_signal = fvec(win_s)
input_signal[win_s//2] = 1
c = f(input_signal)
output_signal = f.rdo(c)
assert_almost_equal(input_signal, output_signal)
class aubio_fft_wrong_params(TestCase):
def test_large_input_timegrain(self):
win_s = 1024
f = fft(win_s)
t = fvec(win_s + 1)
with self.assertRaises(ValueError):
f(t)
def test_small_input_timegrain(self):
win_s = 1024
f = fft(win_s)
t = fvec(1)
with self.assertRaises(ValueError):
f(t)
def test_large_input_fftgrain(self):
win_s = 1024
f = fft(win_s)
s = cvec(win_s + 5)
with self.assertRaises(ValueError):
f.rdo(s)
def test_small_input_fftgrain(self):
win_s = 1024
f = fft(win_s)
s = cvec(16)
with self.assertRaises(ValueError):
f.rdo(s)
def test_wrong_buf_size(self):
win_s = -1
with self.assertRaises(ValueError):
fft(win_s)
def test_buf_size_too_small(self):
win_s = 1
with self.assertRaises(RuntimeError):
fft(win_s)
if __name__ == '__main__':
main()