import math

import torch
import torch.nn as nn


def rgb_to_hsv(image: torch.Tensor, eps: float = 1e-8) -> torch.Tensor:
    r"""Convert an image from RGB to HSV.

    .. image:: _static/img/rgb_to_hsv.png

    The image data is assumed to be in the range of (0, 1).

    Args:
        image: RGB Image to be converted to HSV with shape of :math:`(*, 3, H, W)`.
        eps: scalar to enforce numarical stability.

    Returns:
        HSV version of the image with shape of :math:`(*, 3, H, W)`.
        The H channel values are in the range 0..2pi. S and V are in the range 0..1.

    .. note::
       See a working example `here <https://kornia-tutorials.readthedocs.io/en/latest/
       color_conversions.html>`__.

    Example:
        >>> input = torch.rand(2, 3, 4, 5)
        >>> output = rgb_to_hsv(input)  # 2x3x4x5
    """
    if not isinstance(image, torch.Tensor):
        raise TypeError(f"Input type is not a torch.Tensor. Got {type(image)}")

    if len(image.shape) < 3 or image.shape[-3] != 3:
        raise ValueError(f"Input size must have a shape of (*, 3, H, W). Got {image.shape}")

    max_rgb, argmax_rgb = image.max(-3)
    min_rgb, argmin_rgb = image.min(-3)
    deltac = max_rgb - min_rgb

    v = max_rgb
    s = deltac / (max_rgb + eps)

    deltac = torch.where(deltac == 0, torch.ones_like(deltac), deltac)
    rc, gc, bc = torch.unbind((max_rgb.unsqueeze(-3) - image), dim=-3)

    h1 = bc - gc
    h2 = (rc - bc) + 2.0 * deltac
    h3 = (gc - rc) + 4.0 * deltac

    h = torch.stack((h1, h2, h3), dim=-3) / deltac.unsqueeze(-3)
    h = torch.gather(h, dim=-3, index=argmax_rgb.unsqueeze(-3)).squeeze(-3)
    h = (h / 6.0) % 1.0
    h = 2.0 * math.pi * h  # we return 0/2pi output

    return torch.stack((h, s, v), dim=-3)


def hsv_to_rgb(image: torch.Tensor) -> torch.Tensor:
    r"""Convert an image from HSV to RGB.

    The H channel values are assumed to be in the range 0..2pi. S and V are in the range 0..1.

    Args:
        image: HSV Image to be converted to HSV with shape of :math:`(*, 3, H, W)`.

    Returns:
        RGB version of the image with shape of :math:`(*, 3, H, W)`.

    Example:
        >>> input = torch.rand(2, 3, 4, 5)
        >>> output = hsv_to_rgb(input)  # 2x3x4x5
    """
    if not isinstance(image, torch.Tensor):
        raise TypeError(f"Input type is not a torch.Tensor. Got {type(image)}")

    if len(image.shape) < 3 or image.shape[-3] != 3:
        raise ValueError(f"Input size must have a shape of (*, 3, H, W). Got {image.shape}")

    h: torch.Tensor = image[..., 0, :, :] / (2 * math.pi)
    s: torch.Tensor = image[..., 1, :, :]
    v: torch.Tensor = image[..., 2, :, :]

    hi: torch.Tensor = torch.floor(h * 6) % 6
    f: torch.Tensor = ((h * 6) % 6) - hi
    one: torch.Tensor = torch.tensor(1.0, device=image.device, dtype=image.dtype)
    p: torch.Tensor = v * (one - s)
    q: torch.Tensor = v * (one - f * s)
    t: torch.Tensor = v * (one - (one - f) * s)

    hi = hi.long()
    indices: torch.Tensor = torch.stack([hi, hi + 6, hi + 12], dim=-3)
    out = torch.stack((v, q, p, p, t, v, t, v, v, q, p, p, p, p, t, v, v, q), dim=-3)
    out = torch.gather(out, -3, indices)

    return out


class RgbToHsv(nn.Module):
    r"""Convert an image from RGB to HSV.

    The image data is assumed to be in the range of (0, 1).

    Args:
        eps: scalar to enforce numarical stability.

    Returns:
        HSV version of the image.

    Shape:
        - image: :math:`(*, 3, H, W)`
        - output: :math:`(*, 3, H, W)`

    Example:
        >>> input = torch.rand(2, 3, 4, 5)
        >>> hsv = RgbToHsv()
        >>> output = hsv(input)  # 2x3x4x5
    """

    def __init__(self, eps: float = 1e-6) -> None:
        super().__init__()
        self.eps = eps

    def forward(self, image: torch.Tensor) -> torch.Tensor:
        return rgb_to_hsv(image, self.eps)


class HsvToRgb(nn.Module):
    r"""Convert an image from HSV to RGB.

    H channel values are assumed to be in the range 0..2pi. S and V are in the range 0..1.

    Returns:
        RGB version of the image.

    Shape:
        - image: :math:`(*, 3, H, W)`
        - output: :math:`(*, 3, H, W)`

    Example:
        >>> input = torch.rand(2, 3, 4, 5)
        >>> rgb = HsvToRgb()
        >>> output = rgb(input)  # 2x3x4x5
    """

    def forward(self, image: torch.Tensor) -> torch.Tensor:
        return hsv_to_rgb(image)