import numpy as np
import pytest
from numpy.testing import assert_allclose
from scipy.ndimage import fourier_shift
import scipy.fft as fft

from skimage import img_as_float
from skimage._shared._warnings import expected_warnings
from skimage._shared.utils import _supported_float_type
from skimage.data import camera, binary_blobs
from skimage.registration._phase_cross_correlation import (
    phase_cross_correlation, _upsampled_dft
)


@pytest.mark.parametrize('normalization', [None, 'phase'])
def test_correlation(normalization):
    reference_image = fft.fftn(camera())
    shift = (-7, 12)
    shifted_image = fourier_shift(reference_image, shift)

    # pixel precision
    result, _, _ = phase_cross_correlation(reference_image,
                                           shifted_image,
                                           space="fourier",
                                           normalization=normalization)
    assert_allclose(result[:2], -np.array(shift))


@pytest.mark.parametrize('normalization', ['nonexisting'])
def test_correlation_invalid_normalization(normalization):
    reference_image = fft.fftn(camera())
    shift = (-7, 12)
    shifted_image = fourier_shift(reference_image, shift)

    # pixel precision
    with pytest.raises(ValueError):
        phase_cross_correlation(reference_image,
                                shifted_image,
                                space="fourier",
                                normalization=normalization)


@pytest.mark.parametrize('normalization', [None, 'phase'])
def test_subpixel_precision(normalization):
    reference_image = fft.fftn(camera())
    subpixel_shift = (-2.4, 1.32)
    shifted_image = fourier_shift(reference_image, subpixel_shift)

    # subpixel precision
    result, _, _ = phase_cross_correlation(reference_image,
                                           shifted_image,
                                           upsample_factor=100,
                                           space="fourier",
                                           normalization=normalization)
    assert_allclose(result[:2], -np.array(subpixel_shift), atol=0.05)


@pytest.mark.parametrize('dtype', [np.float16, np.float32, np.float64])
def test_real_input(dtype):
    reference_image = camera().astype(dtype, copy=False)
    subpixel_shift = (-2.4, 1.32)
    shifted_image = fourier_shift(fft.fftn(reference_image), subpixel_shift)
    shifted_image = fft.ifftn(shifted_image).real.astype(dtype, copy=False)

    # subpixel precision
    result, error, diffphase = phase_cross_correlation(reference_image,
                                                       shifted_image,
                                                       upsample_factor=100)
    assert result.dtype == _supported_float_type(dtype)
    assert_allclose(result[:2], -np.array(subpixel_shift), atol=0.05)


def test_size_one_dimension_input():
    # take a strip of the input image
    reference_image = fft.fftn(camera()[:, 15]).reshape((-1, 1))
    subpixel_shift = (-2.4, 4)
    shifted_image = fourier_shift(reference_image, subpixel_shift)

    # subpixel precision
    result, error, diffphase = phase_cross_correlation(reference_image,
                                                       shifted_image,
                                                       upsample_factor=20,
                                                       space="fourier")
    assert_allclose(result[:2], -np.array((-2.4, 0)), atol=0.05)


def test_3d_input():
    phantom = img_as_float(binary_blobs(length=32, n_dim=3))
    reference_image = fft.fftn(phantom)
    shift = (-2., 1., 5.)
    shifted_image = fourier_shift(reference_image, shift)

    result, error, diffphase = phase_cross_correlation(reference_image,
                                                       shifted_image,
                                                       space="fourier")
    assert_allclose(result, -np.array(shift), atol=0.05)

    # subpixel precision now available for 3-D data

    subpixel_shift = (-2.3, 1.7, 5.4)
    shifted_image = fourier_shift(reference_image, subpixel_shift)
    result, error, diffphase = phase_cross_correlation(reference_image,
                                                       shifted_image,
                                                       upsample_factor=100,
                                                       space="fourier")
    assert_allclose(result, -np.array(subpixel_shift), atol=0.05)


def test_unknown_space_input():
    image = np.ones((5, 5))
    with pytest.raises(ValueError):
        phase_cross_correlation(
            image, image,
            space="frank")


def test_wrong_input():
    # Dimensionality mismatch
    image = np.ones((5, 5, 1))
    template = np.ones((5, 5))
    with pytest.raises(ValueError):
        phase_cross_correlation(template, image)

    # Size mismatch
    image = np.ones((5, 5))
    template = np.ones((4, 4))
    with pytest.raises(ValueError):
        phase_cross_correlation(template, image)

    # NaN values in data
    image = np.ones((5, 5))
    image[0][0] = np.nan
    template = np.ones((5, 5))
    with expected_warnings([r'invalid value encountered in true_divide|\A\Z']):
        with pytest.raises(ValueError):
            phase_cross_correlation(template, image, return_error=True)


def test_4d_input_pixel():
    phantom = img_as_float(binary_blobs(length=32, n_dim=4))
    reference_image = fft.fftn(phantom)
    shift = (-2., 1., 5., -3)
    shifted_image = fourier_shift(reference_image, shift)
    result, error, diffphase = phase_cross_correlation(reference_image,
                                                       shifted_image,
                                                       space="fourier")
    assert_allclose(result, -np.array(shift), atol=0.05)


def test_4d_input_subpixel():
    phantom = img_as_float(binary_blobs(length=32, n_dim=4))
    reference_image = fft.fftn(phantom)
    subpixel_shift = (-2.3, 1.7, 5.4, -3.2)
    shifted_image = fourier_shift(reference_image, subpixel_shift)
    result, error, diffphase = phase_cross_correlation(reference_image,
                                                       shifted_image,
                                                       upsample_factor=10,
                                                       space="fourier")
    assert_allclose(result, -np.array(subpixel_shift), atol=0.05)


def test_mismatch_upsampled_region_size():
    with pytest.raises(ValueError):
        _upsampled_dft(
            np.ones((4, 4)),
            upsampled_region_size=[3, 2, 1, 4])


def test_mismatch_offsets_size():
    with pytest.raises(ValueError):
        _upsampled_dft(np.ones((4, 4)), 3,
                       axis_offsets=[3, 2, 1, 4])