/usr/lib/python2.7/dist-packages/numpy/fft/tests/test_helper.py is in python-numpy 1:1.12.1-3.
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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 | #!/usr/bin/env python
"""Test functions for fftpack.helper module
Copied from fftpack.helper by Pearu Peterson, October 2005
"""
from __future__ import division, absolute_import, print_function
import numpy as np
from numpy.testing import TestCase, run_module_suite, assert_array_almost_equal
from numpy import fft
from numpy import pi
from numpy.fft.helper import _FFTCache
class TestFFTShift(TestCase):
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(fft.fftshift(x), y)
assert_array_almost_equal(fft.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(fft.fftshift(x), y)
assert_array_almost_equal(fft.ifftshift(y), x)
def test_inverse(self):
for n in [1, 4, 9, 100, 211]:
x = np.random.random((n,))
assert_array_almost_equal(fft.ifftshift(fft.fftshift(x)), x)
def test_axes_keyword(self):
freqs = [[0, 1, 2], [3, 4, -4], [-3, -2, -1]]
shifted = [[-1, -3, -2], [2, 0, 1], [-4, 3, 4]]
assert_array_almost_equal(fft.fftshift(freqs, axes=(0, 1)), shifted)
assert_array_almost_equal(fft.fftshift(freqs, axes=0),
fft.fftshift(freqs, axes=(0,)))
assert_array_almost_equal(fft.ifftshift(shifted, axes=(0, 1)), freqs)
assert_array_almost_equal(fft.ifftshift(shifted, axes=0),
fft.ifftshift(shifted, axes=(0,)))
class TestFFTFreq(TestCase):
def test_definition(self):
x = [0, 1, 2, 3, 4, -4, -3, -2, -1]
assert_array_almost_equal(9*fft.fftfreq(9), x)
assert_array_almost_equal(9*pi*fft.fftfreq(9, pi), x)
x = [0, 1, 2, 3, 4, -5, -4, -3, -2, -1]
assert_array_almost_equal(10*fft.fftfreq(10), x)
assert_array_almost_equal(10*pi*fft.fftfreq(10, pi), x)
class TestRFFTFreq(TestCase):
def test_definition(self):
x = [0, 1, 2, 3, 4]
assert_array_almost_equal(9*fft.rfftfreq(9), x)
assert_array_almost_equal(9*pi*fft.rfftfreq(9, pi), x)
x = [0, 1, 2, 3, 4, 5]
assert_array_almost_equal(10*fft.rfftfreq(10), x)
assert_array_almost_equal(10*pi*fft.rfftfreq(10, pi), x)
class TestIRFFTN(TestCase):
def test_not_last_axis_success(self):
ar, ai = np.random.random((2, 16, 8, 32))
a = ar + 1j*ai
axes = (-2,)
# Should not raise error
fft.irfftn(a, axes=axes)
class TestFFTCache(TestCase):
def test_basic_behaviour(self):
c = _FFTCache(max_size_in_mb=1, max_item_count=4)
# Put
c.put_twiddle_factors(1, np.ones(2, dtype=np.float32))
c.put_twiddle_factors(2, np.zeros(2, dtype=np.float32))
# Get
assert_array_almost_equal(c.pop_twiddle_factors(1),
np.ones(2, dtype=np.float32))
assert_array_almost_equal(c.pop_twiddle_factors(2),
np.zeros(2, dtype=np.float32))
# Nothing should be left.
self.assertEqual(len(c._dict), 0)
# Now put everything in twice so it can be retrieved once and each will
# still have one item left.
for _ in range(2):
c.put_twiddle_factors(1, np.ones(2, dtype=np.float32))
c.put_twiddle_factors(2, np.zeros(2, dtype=np.float32))
assert_array_almost_equal(c.pop_twiddle_factors(1),
np.ones(2, dtype=np.float32))
assert_array_almost_equal(c.pop_twiddle_factors(2),
np.zeros(2, dtype=np.float32))
self.assertEqual(len(c._dict), 2)
def test_automatic_pruning(self):
# That's around 2600 single precision samples.
c = _FFTCache(max_size_in_mb=0.01, max_item_count=4)
c.put_twiddle_factors(1, np.ones(200, dtype=np.float32))
c.put_twiddle_factors(2, np.ones(200, dtype=np.float32))
self.assertEqual(list(c._dict.keys()), [1, 2])
# This is larger than the limit but should still be kept.
c.put_twiddle_factors(3, np.ones(3000, dtype=np.float32))
self.assertEqual(list(c._dict.keys()), [1, 2, 3])
# Add one more.
c.put_twiddle_factors(4, np.ones(3000, dtype=np.float32))
# The other three should no longer exist.
self.assertEqual(list(c._dict.keys()), [4])
# Now test the max item count pruning.
c = _FFTCache(max_size_in_mb=0.01, max_item_count=2)
c.put_twiddle_factors(2, np.empty(2))
c.put_twiddle_factors(1, np.empty(2))
# Can still be accessed.
self.assertEqual(list(c._dict.keys()), [2, 1])
c.put_twiddle_factors(3, np.empty(2))
# 1 and 3 can still be accessed - c[2] has been touched least recently
# and is thus evicted.
self.assertEqual(list(c._dict.keys()), [1, 3])
# One last test. We will add a single large item that is slightly
# bigger then the cache size. Some small items can still be added.
c = _FFTCache(max_size_in_mb=0.01, max_item_count=5)
c.put_twiddle_factors(1, np.ones(3000, dtype=np.float32))
c.put_twiddle_factors(2, np.ones(2, dtype=np.float32))
c.put_twiddle_factors(3, np.ones(2, dtype=np.float32))
c.put_twiddle_factors(4, np.ones(2, dtype=np.float32))
self.assertEqual(list(c._dict.keys()), [1, 2, 3, 4])
# One more big item. This time it is 6 smaller ones but they are
# counted as one big item.
for _ in range(6):
c.put_twiddle_factors(5, np.ones(500, dtype=np.float32))
# '1' no longer in the cache. Rest still in the cache.
self.assertEqual(list(c._dict.keys()), [2, 3, 4, 5])
# Another big item - should now be the only item in the cache.
c.put_twiddle_factors(6, np.ones(4000, dtype=np.float32))
self.assertEqual(list(c._dict.keys()), [6])
if __name__ == "__main__":
run_module_suite()
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