def test_compare_with_inversion(self):
"""
Creates a Signal, transforms it, inverses the transformation and tests, if it resembles the original Signal.
"""
ifft = sumpf.modules.InverseFourierTransform()
sumpf.connect(self.fft.GetSpectrum, ifft.SetSpectrum)
insignal = self.gen.GetSignal()
outsignal = ifft.GetSignal()
common.compare_signals_almost_equal(testcase=self, signal1=insignal, signal2=outsignal)
def test_cosine2sine(self):
"""
Tests, if a cosine can be transformed to a sine wave with the
IntegrateSignal class.
"""
frequency = 200.0
cosine = sumpf.modules.SineWaveGenerator(frequency=frequency, phase=math.pi / 2.0, length=1000).GetSignal()
integral = sumpf.modules.IntegrateSignal(signal=cosine, offset=sumpf.modules.IntegrateSignal.NO_DC).GetOutput()
scaled = 2.0 * math.pi * frequency * integral
sine = sumpf.modules.SineWaveGenerator(frequency=frequency, phase=0.0, length=1000).GetSignal()
common.compare_signals_almost_equal(testcase=self, signal1=scaled, signal2=sine, places=1)
def test_compare_with_filter(self):
"""
Compares the Laguerre functions from this generator with those that have
been created in the frequency domain.
"""
time_laguerre = self.__GetOrdinaryLaguerreFunctions()
properties = sumpf.modules.ChannelDataProperties(signal_length=len(time_laguerre[0][0]), samplingrate=time_laguerre[0][0].GetSamplingRate())
frequency_laguerre = []
gen = sumpf.modules.LaguerreFilterGenerator(resolution=properties.GetResolution(), length=properties.GetSpectrumLength())
for s in range(3):
frequency_laguerre.append([])
for o in [0, 1, 4]:
gen.SetOrder(o)
gen.SetScalingFactor(scaling_factor=10.0 * (s + 1.0))
function = sumpf.modules.InverseFourierTransform(spectrum=gen.GetSpectrum()).GetSignal()
frequency_laguerre[s].append(function * function.GetSamplingRate())
for a in range(len(time_laguerre)):
for b in range(len(time_laguerre[a])):
common.compare_signals_almost_equal(testcase=self,
signal1=time_laguerre[a][b][1500:-1500],
signal2=frequency_laguerre[a][b][1500:-1500],
places=3,
compare_labels=False)
def test_sine(self):
"""
Tests the derivative of a sine wave Signal.
"""
frequency = 1.9
samplingrate = 48000
length = 5 * samplingrate
sin = sumpf.modules.SineWaveGenerator(frequency=frequency,
phase=0.0,
samplingrate=samplingrate,
length=length)
cos = sumpf.modules.SineWaveGenerator(frequency=frequency,
phase=math.pi / 2.0,
samplingrate=samplingrate,
length=length)
drv = sumpf.modules.DifferentiateSignal()
places = 2
if common.lib_available("numpy"):
drv.SetFunction(lambda sequence: sumpf.helper.differentiate_spline(sequence=sequence, degree=2))
places = 6
self.assertEqual(drv.GetOutput(), sumpf.Signal())
drv.SetInput(sin.GetSignal())
common.compare_signals_almost_equal(self, drv.GetOutput(), cos.GetSignal() * (2.0 * math.pi * frequency), places)
def test_derivative(self):
"""
Compares the derivative of the integral with the original Signal.
"""
noise = sumpf.modules.NoiseGenerator(
distribution=sumpf.modules.NoiseGenerator.RedNoise(), length=900, samplingrate=1000.0
)
noise.Seed(13)
cache = (
sumpf.modules.PassThroughSignal()
) # avoid regeneration of the random noise Signal even if caching is turned off
sumpf.connect(noise.GetSignal, cache.SetSignal)
integral = sumpf.modules.IntegrateSignal()
sumpf.connect(cache.GetSignal, integral.SetInput)
derivative = sumpf.modules.DifferentiateSignal()
sumpf.connect(integral.GetOutput, derivative.SetInput)
common.compare_signals_almost_equal(
testcase=self, signal1=cache.GetSignal()[1:-1], signal2=derivative.GetOutput()[1:-1], places=12
)
integral.SetOffset(129.874)
common.compare_signals_almost_equal(
testcase=self, signal1=cache.GetSignal()[1:-1], signal2=derivative.GetOutput()[1:-1], places=10
)
def test_cython(self):
thiele_small_parameters = sumpf.ThieleSmallParameters()
sweep = sumpf.modules.SweepGenerator(start_frequency=10.0, stop_frequency=10000.0, function=sumpf.modules.SweepGenerator.LINEAR, samplingrate=44100.0, length=2 ** 2).GetSignal()
python = sumpf.modules.ThieleSmallParameterAuralizationNonlinear(thiele_small_parameters=thiele_small_parameters,
voltage_signal=sweep,
listener_distance=2.9,
medium_density=1.5,
warp_frequency=33.2,
regularization=0.1,
save_samples=True,
use_cython=False)
cython = sumpf.modules.ThieleSmallParameterAuralizationNonlinear(thiele_small_parameters=thiele_small_parameters,
voltage_signal=sweep,
listener_distance=2.9,
medium_density=1.5,
warp_frequency=33.2,
regularization=0.1,
save_samples=True,
use_cython=True)
self.assertEqual(python.GetCurrent(), cython.GetCurrent())
sine = sumpf.modules.SineWaveGenerator(frequency=443.9, samplingrate=48000.0, length=2 ** 7).GetSignal()
python.SetVoltage(sine)
cython.SetVoltage(sine)
common.compare_signals_almost_equal(self, signal1=python.GetSoundPressure(), signal2=cython.GetSoundPressure(), places=11)