from __future__ import print_function, division

import numpy as np
from numpy.testing import assert_raises
import itertools
import os.path

from skimage.transform import radon, iradon, iradon_sart, rescale
from skimage.io import imread
from skimage import data_dir


PHANTOM = imread(os.path.join(data_dir, "phantom.png"),
                   as_grey=True)[::2, ::2]
PHANTOM = rescale(PHANTOM, 0.5, order=1)


def _debug_plot(original, result, sinogram=None):
    from matplotlib import pyplot as plt
    imkwargs = dict(cmap='gray', interpolation='nearest')
    if sinogram is None:
        plt.figure(figsize=(15, 6))
        sp = 130
    else:
        plt.figure(figsize=(11, 11))
        sp = 221
        plt.subplot(sp + 0)
        plt.imshow(sinogram, aspect='auto', **imkwargs)
    plt.subplot(sp + 1)
    plt.imshow(original, **imkwargs)
    plt.subplot(sp + 2)
    plt.imshow(result, vmin=original.min(), vmax=original.max(), **imkwargs)
    plt.subplot(sp + 3)
    plt.imshow(result - original, **imkwargs)
    plt.colorbar()
    plt.show()


def _rescale_intensity(x):
    x = x.astype(float)
    x -= x.min()
    x /= x.max()
    return x


def check_radon_center(shape, circle):
    # Create a test image with only a single non-zero pixel at the origin
    image = np.zeros(shape, dtype=np.float)
    image[(shape[0] // 2, shape[1] // 2)] = 1.
    # Calculate the sinogram
    theta = np.linspace(0., 180., max(shape), endpoint=False)
    sinogram = radon(image, theta=theta, circle=circle)
    # The sinogram should be a straight, horizontal line
    sinogram_max = np.argmax(sinogram, axis=0)
    print(sinogram_max)
    assert np.std(sinogram_max) < 1e-6


def test_radon_center():
    shapes = [(16, 16), (17, 17)]
    circles = [False, True]
    for shape, circle in itertools.product(shapes, circles):
        yield check_radon_center, shape, circle
    rectangular_shapes = [(32, 16), (33, 17)]
    for shape in rectangular_shapes:
        yield check_radon_center, shape, False


def check_iradon_center(size, theta, circle):
    debug = False
    # Create a test sinogram corresponding to a single projection
    # with a single non-zero pixel at the rotation center
    if circle:
        sinogram = np.zeros((size, 1), dtype=np.float)
        sinogram[size // 2, 0] = 1.
    else:
        diagonal = int(np.ceil(np.sqrt(2) * size))
        sinogram = np.zeros((diagonal, 1), dtype=np.float)
        sinogram[sinogram.shape[0] // 2, 0] = 1.
    maxpoint = np.unravel_index(np.argmax(sinogram), sinogram.shape)
    print('shape of generated sinogram', sinogram.shape)
    print('maximum in generated sinogram', maxpoint)
    # Compare reconstructions for theta=angle and theta=angle + 180;
    # these should be exactly equal
    reconstruction = iradon(sinogram, theta=[theta], circle=circle)
    reconstruction_opposite = iradon(sinogram, theta=[theta + 180],
                                     circle=circle)
    print('rms deviance:',
          np.sqrt(np.mean((reconstruction_opposite - reconstruction)**2)))
    if debug:
        import matplotlib.pyplot as plt
        imkwargs = dict(cmap='gray', interpolation='nearest')
        plt.figure()
        plt.subplot(221)
        plt.imshow(sinogram, **imkwargs)
        plt.subplot(222)
        plt.imshow(reconstruction_opposite - reconstruction, **imkwargs)
        plt.subplot(223)
        plt.imshow(reconstruction, **imkwargs)
        plt.subplot(224)
        plt.imshow(reconstruction_opposite, **imkwargs)
        plt.show()

    assert np.allclose(reconstruction, reconstruction_opposite)


def test_iradon_center():
    sizes = [16, 17]
    thetas = [0, 90]
    circles = [False, True]
    for size, theta, circle in itertools.product(sizes, thetas, circles):
        yield check_iradon_center, size, theta, circle


def check_radon_iradon(interpolation_type, filter_type):
    debug = False
    image = PHANTOM
    reconstructed = iradon(radon(image), filter=filter_type,
                           interpolation=interpolation_type)
    delta = np.mean(np.abs(image - reconstructed))
    print('\n\tmean error:', delta)
    if debug:
        _debug_plot(image, reconstructed)
    if filter_type in ('ramp', 'shepp-logan'):
        if interpolation_type == 'nearest':
            allowed_delta = 0.03
        else:
            allowed_delta = 0.025
    else:
        allowed_delta = 0.05
    assert delta < allowed_delta


def test_radon_iradon():
    filter_types = ["ramp", "shepp-logan", "cosine", "hamming", "hann"]
    interpolation_types = ['linear', 'nearest']
    for interpolation_type, filter_type in \
            itertools.product(interpolation_types, filter_types):
        yield check_radon_iradon, interpolation_type, filter_type
    # cubic interpolation is slow; only run one test for it
    yield check_radon_iradon, 'cubic', 'shepp-logan'


def test_iradon_angles():
    """
    Test with different number of projections
    """
    size = 100
    # Synthetic data
    image = np.tri(size) + np.tri(size)[::-1]
    # Large number of projections: a good quality is expected
    nb_angles = 200
    radon_image_200 = radon(image, theta=np.linspace(0, 180, nb_angles,
                                                     endpoint=False))
    reconstructed = iradon(radon_image_200)
    delta_200 = np.mean(abs(_rescale_intensity(image) - _rescale_intensity(reconstructed)))
    assert delta_200 < 0.03
    # Lower number of projections
    nb_angles = 80
    radon_image_80 = radon(image, theta=np.linspace(0, 180, nb_angles,
                                                    endpoint=False))
    # Test whether the sum of all projections is approximately the same
    s = radon_image_80.sum(axis=0)
    assert np.allclose(s, s[0], rtol=0.01)
    reconstructed = iradon(radon_image_80)
    delta_80 = np.mean(abs(image / np.max(image) -
                           reconstructed / np.max(reconstructed)))
    # Loss of quality when the number of projections is reduced
    assert delta_80 > delta_200


def check_radon_iradon_minimal(shape, slices):
    debug = False
    theta = np.arange(180)
    image = np.zeros(shape, dtype=np.float)
    image[slices] = 1.
    sinogram = radon(image, theta)
    reconstructed = iradon(sinogram, theta)
    print('\n\tMaximum deviation:', np.max(np.abs(image - reconstructed)))
    if debug:
        _debug_plot(image, reconstructed, sinogram)
    if image.sum() == 1:
        assert (np.unravel_index(np.argmax(reconstructed), image.shape)
                == np.unravel_index(np.argmax(image), image.shape))


def test_radon_iradon_minimal():
    shapes = [(3, 3), (4, 4), (5, 5)]
    for shape in shapes:
        c0, c1 = shape[0] // 2, shape[1] // 2
        coordinates = itertools.product((c0 - 1, c0, c0 + 1),
                                        (c1 - 1, c1, c1 + 1))
        for coordinate in coordinates:
            yield check_radon_iradon_minimal, shape, coordinate


def test_reconstruct_with_wrong_angles():
    a = np.zeros((3, 3))
    p = radon(a, theta=[0, 1, 2])
    iradon(p, theta=[0, 1, 2])
    assert_raises(ValueError, iradon, p, theta=[0, 1, 2, 3])


def _random_circle(shape):
    # Synthetic random data, zero outside reconstruction circle
    np.random.seed(98312871)
    image = np.random.rand(*shape)
    c0, c1 = np.ogrid[0:shape[0], 0:shape[1]]
    r = np.sqrt((c0 - shape[0] // 2)**2 + (c1 - shape[1] // 2)**2)
    radius = min(shape) // 2
    image[r > radius] = 0.
    return image


def test_radon_circle():
    a = np.ones((10, 10))
    assert_raises(ValueError, radon, a, circle=True)

    # Synthetic data, circular symmetry
    shape = (61, 79)
    c0, c1 = np.ogrid[0:shape[0], 0:shape[1]]
    r = np.sqrt((c0 - shape[0] // 2)**2 + (c1 - shape[1] // 2)**2)
    radius = min(shape) // 2
    image = np.clip(radius - r, 0, np.inf)
    image = _rescale_intensity(image)
    angles = np.linspace(0, 180, min(shape), endpoint=False)
    sinogram = radon(image, theta=angles, circle=True)
    assert np.all(sinogram.std(axis=1) < 1e-2)

    # Synthetic data, random
    image = _random_circle(shape)
    sinogram = radon(image, theta=angles, circle=True)
    mass = sinogram.sum(axis=0)
    average_mass = mass.mean()
    relative_error = np.abs(mass - average_mass) / average_mass
    print(relative_error.max(), relative_error.mean())
    assert np.all(relative_error < 3.2e-3)


def check_sinogram_circle_to_square(size):
    from skimage.transform.radon_transform import _sinogram_circle_to_square
    image = _random_circle((size, size))
    theta = np.linspace(0., 180., size, False)
    sinogram_circle = radon(image, theta, circle=True)
    argmax_shape = lambda a: np.unravel_index(np.argmax(a), a.shape)
    print('\n\targmax of circle:', argmax_shape(sinogram_circle))
    sinogram_square = radon(image, theta, circle=False)
    print('\targmax of square:', argmax_shape(sinogram_square))
    sinogram_circle_to_square = _sinogram_circle_to_square(sinogram_circle)
    print('\targmax of circle to square:',
          argmax_shape(sinogram_circle_to_square))
    error = abs(sinogram_square - sinogram_circle_to_square)
    print(np.mean(error), np.max(error))
    assert (argmax_shape(sinogram_square)
            == argmax_shape(sinogram_circle_to_square))


def test_sinogram_circle_to_square():
    for size in (50, 51):
        yield check_sinogram_circle_to_square, size


def check_radon_iradon_circle(interpolation, shape, output_size):
    # Forward and inverse radon on synthetic data
    image = _random_circle(shape)
    radius = min(shape) // 2
    sinogram_rectangle = radon(image, circle=False)
    reconstruction_rectangle = iradon(sinogram_rectangle,
                                      output_size=output_size,
                                      interpolation=interpolation,
                                      circle=False)
    sinogram_circle = radon(image, circle=True)
    reconstruction_circle = iradon(sinogram_circle,
                                   output_size=output_size,
                                   interpolation=interpolation,
                                   circle=True)
    # Crop rectangular reconstruction to match circle=True reconstruction
    width = reconstruction_circle.shape[0]
    excess = int(np.ceil((reconstruction_rectangle.shape[0] - width) / 2))
    s = np.s_[excess:width + excess, excess:width + excess]
    reconstruction_rectangle = reconstruction_rectangle[s]
    # Find the reconstruction circle, set reconstruction to zero outside
    c0, c1 = np.ogrid[0:width, 0:width]
    r = np.sqrt((c0 - width // 2)**2 + (c1 - width // 2)**2)
    reconstruction_rectangle[r > radius] = 0.
    print(reconstruction_circle.shape)
    print(reconstruction_rectangle.shape)
    np.allclose(reconstruction_rectangle, reconstruction_circle)


def test_radon_iradon_circle():
    shape = (61, 79)
    interpolations = ('nearest', 'linear')
    output_sizes = (None, min(shape), max(shape), 97)
    for interpolation, output_size in itertools.product(interpolations,
                                                        output_sizes):
        yield check_radon_iradon_circle, interpolation, shape, output_size


def test_order_angles_golden_ratio():
    from skimage.transform.radon_transform import order_angles_golden_ratio
    np.random.seed(1231)
    lengths = [1, 4, 10, 180]
    for l in lengths:
        theta_ordered = np.linspace(0, 180, l, endpoint=False)
        theta_random = np.random.uniform(0, 180, l)
        for theta in (theta_random, theta_ordered):
            indices = [x for x in order_angles_golden_ratio(theta)]
            # no duplicate indices allowed
            assert len(indices) == len(set(indices))


def test_iradon_sart():
    debug = False

    image = rescale(PHANTOM, 0.8)
    theta_ordered = np.linspace(0., 180., image.shape[0], endpoint=False)
    theta_missing_wedge = np.linspace(0., 150., image.shape[0], endpoint=True)
    for theta, error_factor in ((theta_ordered, 1.),
                                (theta_missing_wedge, 2.)):
        sinogram = radon(image, theta, circle=True)
        reconstructed = iradon_sart(sinogram, theta)

        if debug:
            from matplotlib import pyplot as plt
            plt.figure()
            plt.subplot(221)
            plt.imshow(image, interpolation='nearest')
            plt.subplot(222)
            plt.imshow(sinogram, interpolation='nearest')
            plt.subplot(223)
            plt.imshow(reconstructed, interpolation='nearest')
            plt.subplot(224)
            plt.imshow(reconstructed - image, interpolation='nearest')
            plt.show()

        delta = np.mean(np.abs(reconstructed - image))
        print('delta (1 iteration) =', delta)
        assert delta < 0.02 * error_factor
        reconstructed = iradon_sart(sinogram, theta, reconstructed)
        delta = np.mean(np.abs(reconstructed - image))
        print('delta (2 iterations) =', delta)
        assert delta < 0.014 * error_factor
        reconstructed = iradon_sart(sinogram, theta, clip=(0, 1))
        delta = np.mean(np.abs(reconstructed - image))
        print('delta (1 iteration, clip) =', delta)
        assert delta < 0.018 * error_factor

        np.random.seed(1239867)
        shifts = np.random.uniform(-3, 3, sinogram.shape[1])
        x = np.arange(sinogram.shape[0])
        sinogram_shifted = np.vstack(np.interp(x + shifts[i], x,
                                               sinogram[:, i])
                                     for i in range(sinogram.shape[1])).T
        reconstructed = iradon_sart(sinogram_shifted, theta,
                                    projection_shifts=shifts)
        if debug:
            from matplotlib import pyplot as plt
            plt.figure()
            plt.subplot(221)
            plt.imshow(image, interpolation='nearest')
            plt.subplot(222)
            plt.imshow(sinogram_shifted, interpolation='nearest')
            plt.subplot(223)
            plt.imshow(reconstructed, interpolation='nearest')
            plt.subplot(224)
            plt.imshow(reconstructed - image, interpolation='nearest')
            plt.show()

        delta = np.mean(np.abs(reconstructed - image))
        print('delta (1 iteration, shifted sinogram) =', delta)
        assert delta < 0.022 * error_factor


if __name__ == "__main__":
    from numpy.testing import run_module_suite
    run_module_suite()