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import numpy
from numpy import fft
from numpy.testing import (assert_almost_equal, assert_array_almost_equal,
assert_equal)
import pytest
from scipy import ndimage
class TestNdimageFourier:
@pytest.mark.parametrize('shape', [(32, 16), (31, 15), (1, 10)])
@pytest.mark.parametrize('dtype, dec',
[(numpy.float32, 6), (numpy.float64, 14)])
def test_fourier_gaussian_real01(self, shape, dtype, dec):
a = numpy.zeros(shape, dtype)
a[0, 0] = 1.0
a = fft.rfft(a, shape[0], 0)
a = fft.fft(a, shape[1], 1)
a = ndimage.fourier_gaussian(a, [5.0, 2.5], shape[0], 0)
a = fft.ifft(a, shape[1], 1)
a = fft.irfft(a, shape[0], 0)
assert_almost_equal(ndimage.sum(a), 1, decimal=dec)
@pytest.mark.parametrize('shape', [(32, 16), (31, 15)])
@pytest.mark.parametrize('dtype, dec',
[(numpy.complex64, 6), (numpy.complex128, 14)])
def test_fourier_gaussian_complex01(self, shape, dtype, dec):
a = numpy.zeros(shape, dtype)
a[0, 0] = 1.0
a = fft.fft(a, shape[0], 0)
a = fft.fft(a, shape[1], 1)
a = ndimage.fourier_gaussian(a, [5.0, 2.5], -1, 0)
a = fft.ifft(a, shape[1], 1)
a = fft.ifft(a, shape[0], 0)
assert_almost_equal(ndimage.sum(a.real), 1.0, decimal=dec)
@pytest.mark.parametrize('shape', [(32, 16), (31, 15), (1, 10)])
@pytest.mark.parametrize('dtype, dec',
[(numpy.float32, 6), (numpy.float64, 14)])
def test_fourier_uniform_real01(self, shape, dtype, dec):
a = numpy.zeros(shape, dtype)
a[0, 0] = 1.0
a = fft.rfft(a, shape[0], 0)
a = fft.fft(a, shape[1], 1)
a = ndimage.fourier_uniform(a, [5.0, 2.5], shape[0], 0)
a = fft.ifft(a, shape[1], 1)
a = fft.irfft(a, shape[0], 0)
assert_almost_equal(ndimage.sum(a), 1.0, decimal=dec)
@pytest.mark.parametrize('shape', [(32, 16), (31, 15)])
@pytest.mark.parametrize('dtype, dec',
[(numpy.complex64, 6), (numpy.complex128, 14)])
def test_fourier_uniform_complex01(self, shape, dtype, dec):
a = numpy.zeros(shape, dtype)
a[0, 0] = 1.0
a = fft.fft(a, shape[0], 0)
a = fft.fft(a, shape[1], 1)
a = ndimage.fourier_uniform(a, [5.0, 2.5], -1, 0)
a = fft.ifft(a, shape[1], 1)
a = fft.ifft(a, shape[0], 0)
assert_almost_equal(ndimage.sum(a.real), 1.0, decimal=dec)
@pytest.mark.parametrize('shape', [(32, 16), (31, 15)])
@pytest.mark.parametrize('dtype, dec',
[(numpy.float32, 4), (numpy.float64, 11)])
def test_fourier_shift_real01(self, shape, dtype, dec):
expected = numpy.arange(shape[0] * shape[1], dtype=dtype)
expected.shape = shape
a = fft.rfft(expected, shape[0], 0)
a = fft.fft(a, shape[1], 1)
a = ndimage.fourier_shift(a, [1, 1], shape[0], 0)
a = fft.ifft(a, shape[1], 1)
a = fft.irfft(a, shape[0], 0)
assert_array_almost_equal(a[1:, 1:], expected[:-1, :-1],
decimal=dec)
assert_array_almost_equal(a.imag, numpy.zeros(shape),
decimal=dec)
@pytest.mark.parametrize('shape', [(32, 16), (31, 15)])
@pytest.mark.parametrize('dtype, dec',
[(numpy.complex64, 4), (numpy.complex128, 11)])
def test_fourier_shift_complex01(self, shape, dtype, dec):
expected = numpy.arange(shape[0] * shape[1], dtype=dtype)
expected.shape = shape
a = fft.fft(expected, shape[0], 0)
a = fft.fft(a, shape[1], 1)
a = ndimage.fourier_shift(a, [1, 1], -1, 0)
a = fft.ifft(a, shape[1], 1)
a = fft.ifft(a, shape[0], 0)
assert_array_almost_equal(a.real[1:, 1:], expected[:-1, :-1],
decimal=dec)
assert_array_almost_equal(a.imag, numpy.zeros(shape),
decimal=dec)
@pytest.mark.parametrize('shape', [(32, 16), (31, 15), (1, 10)])
@pytest.mark.parametrize('dtype, dec',
[(numpy.float32, 5), (numpy.float64, 14)])
def test_fourier_ellipsoid_real01(self, shape, dtype, dec):
a = numpy.zeros(shape, dtype)
a[0, 0] = 1.0
a = fft.rfft(a, shape[0], 0)
a = fft.fft(a, shape[1], 1)
a = ndimage.fourier_ellipsoid(a, [5.0, 2.5],
shape[0], 0)
a = fft.ifft(a, shape[1], 1)
a = fft.irfft(a, shape[0], 0)
assert_almost_equal(ndimage.sum(a), 1.0, decimal=dec)
@pytest.mark.parametrize('shape', [(32, 16), (31, 15)])
@pytest.mark.parametrize('dtype, dec',
[(numpy.complex64, 5), (numpy.complex128, 14)])
def test_fourier_ellipsoid_complex01(self, shape, dtype, dec):
a = numpy.zeros(shape, dtype)
a[0, 0] = 1.0
a = fft.fft(a, shape[0], 0)
a = fft.fft(a, shape[1], 1)
a = ndimage.fourier_ellipsoid(a, [5.0, 2.5], -1, 0)
a = fft.ifft(a, shape[1], 1)
a = fft.ifft(a, shape[0], 0)
assert_almost_equal(ndimage.sum(a.real), 1.0, decimal=dec)
def test_fourier_ellipsoid_unimplemented_ndim(self):
# arrays with ndim > 3 raise NotImplementedError
x = numpy.ones((4, 6, 8, 10), dtype=numpy.complex128)
with pytest.raises(NotImplementedError):
ndimage.fourier_ellipsoid(x, 3)
def test_fourier_ellipsoid_1d_complex(self):
# expected result of 1d ellipsoid is the same as for fourier_uniform
for shape in [(32, ), (31, )]:
for type_, dec in zip([numpy.complex64, numpy.complex128],
[5, 14]):
x = numpy.ones(shape, dtype=type_)
a = ndimage.fourier_ellipsoid(x, 5, -1, 0)
b = ndimage.fourier_uniform(x, 5, -1, 0)
assert_array_almost_equal(a, b, decimal=dec)
@pytest.mark.parametrize('shape', [(0, ), (0, 10), (10, 0)])
@pytest.mark.parametrize('dtype',
[numpy.float32, numpy.float64,
numpy.complex64, numpy.complex128])
@pytest.mark.parametrize('test_func',
[ndimage.fourier_ellipsoid,
ndimage.fourier_gaussian,
ndimage.fourier_uniform])
def test_fourier_zero_length_dims(self, shape, dtype, test_func):
a = numpy.ones(shape, dtype)
b = test_func(a, 3)
assert_equal(a, b)
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