test_helper.py
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# Created by Pearu Peterson, September 2002
__usage__ = """
Build fftpack:
python setup_fftpack.py build
Run tests if scipy is installed:
python -c 'import scipy;scipy.fftpack.test(<level>)'
Run tests if fftpack is not installed:
python tests/test_helper.py [<level>]
"""
from numpy.testing import assert_array_almost_equal
from scipy.fftpack import fftshift, ifftshift, fftfreq, rfftfreq
from numpy import pi, random
class TestFFTShift(object):
def test_definition(self):
x = [0,1,2,3,4,-4,-3,-2,-1]
y = [-4,-3,-2,-1,0,1,2,3,4]
assert_array_almost_equal(fftshift(x),y)
assert_array_almost_equal(ifftshift(y),x)
x = [0,1,2,3,4,-5,-4,-3,-2,-1]
y = [-5,-4,-3,-2,-1,0,1,2,3,4]
assert_array_almost_equal(fftshift(x),y)
assert_array_almost_equal(ifftshift(y),x)
def test_inverse(self):
for n in [1,4,9,100,211]:
x = random.random((n,))
assert_array_almost_equal(ifftshift(fftshift(x)),x)
class TestFFTFreq(object):
def test_definition(self):
x = [0,1,2,3,4,-4,-3,-2,-1]
assert_array_almost_equal(9*fftfreq(9),x)
assert_array_almost_equal(9*pi*fftfreq(9,pi),x)
x = [0,1,2,3,4,-5,-4,-3,-2,-1]
assert_array_almost_equal(10*fftfreq(10),x)
assert_array_almost_equal(10*pi*fftfreq(10,pi),x)
class TestRFFTFreq(object):
def test_definition(self):
x = [0,1,1,2,2,3,3,4,4]
assert_array_almost_equal(9*rfftfreq(9),x)
assert_array_almost_equal(9*pi*rfftfreq(9,pi),x)
x = [0,1,1,2,2,3,3,4,4,5]
assert_array_almost_equal(10*rfftfreq(10),x)
assert_array_almost_equal(10*pi*rfftfreq(10,pi),x)