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, 6), (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_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)
