import torch
from torch.nn import functional as F

def point_sample(input, point_coords, **kwargs):
    """
    A wrapper around :function:`torch.nn.functional.grid_sample` to support 3D point_coords tensors.
    Unlike :function:`torch.nn.functional.grid_sample` it assumes `point_coords` to lie inside
    [0, 1] x [0, 1] square.

    Args:
        input (Tensor): A tensor of shape (N, C, H, W) that contains features map on a H x W grid.
        point_coords (Tensor): A tensor of shape (N, P, 2) or (N, Hgrid, Wgrid, 2) that contains
        [0, 1] x [0, 1] normalized point coordinates.

    Returns:
        output (Tensor): A tensor of shape (N, C, P) or (N, C, Hgrid, Wgrid) that contains
            features for points in `point_coords`. The features are obtained via bilinear
            interplation from `input` the same way as :function:`torch.nn.functional.grid_sample`.
    """
    add_dim = False
    if point_coords.dim() == 3:
        add_dim = True
        point_coords = point_coords.unsqueeze(2) # [c, self.num_points, 1, 2]
    output = F.grid_sample(input, 2.0 * point_coords - 1.0, **kwargs) # [c, 1, self.num_points, 1]
    if add_dim:
        output = output.squeeze(3)
    return output # [c, 1, self.num_points]

def get_uncertain_point_coords_with_randomness(
    coarse_logits, uncertainty_func, num_points, oversample_ratio, importance_sample_ratio
):
    """
    Sample points in [0, 1] x [0, 1] coordinate space based on their uncertainty. The unceratinties
        are calculated for each point using 'uncertainty_func' function that takes point's logit
        prediction as input.
    See PointRend paper for details.

    Args:
        coarse_logits (Tensor): A tensor of shape (N, C, Hmask, Wmask) or (N, 1, Hmask, Wmask) for
            class-specific or class-agnostic prediction.
        uncertainty_func: A function that takes a Tensor of shape (N, C, P) or (N, 1, P) that
            contains logit predictions for P points and returns their uncertainties as a Tensor of
            shape (N, 1, P).
        num_points (int): The number of points P to sample.
        oversample_ratio (int): Oversampling parameter.
        importance_sample_ratio (float): Ratio of points that are sampled via importnace sampling.

    Returns:
        point_coords (Tensor): A tensor of shape (N, P, 2) that contains the coordinates of P
            sampled points.
    """
    assert oversample_ratio >= 1
    assert importance_sample_ratio <= 1 and importance_sample_ratio >= 0
    num_boxes = coarse_logits.shape[0]
    num_sampled = int(num_points * oversample_ratio)
    point_coords = torch.rand(num_boxes, num_sampled, 2, device=coarse_logits.device)
    point_logits = point_sample(coarse_logits, point_coords, align_corners=False)
    # It is crucial to calculate uncertainty based on the sampled prediction value for the points.
    # Calculating uncertainties of the coarse predictions first and sampling them for points leads
    # to incorrect results.
    # To illustrate this: assume uncertainty_func(logits)=-abs(logits), a sampled point between
    # two coarse predictions with -1 and 1 logits has 0 logits, and therefore 0 uncertainty value.
    # However, if we calculate uncertainties for the coarse predictions first,
    # both will have -1 uncertainty, and the sampled point will get -1 uncertainty.
    point_uncertainties = uncertainty_func(point_logits)
    num_uncertain_points = int(importance_sample_ratio * num_points)
    num_random_points = num_points - num_uncertain_points
    idx = torch.topk(point_uncertainties[:, 0, :], k=num_uncertain_points, dim=1)[1]
    shift = num_sampled * torch.arange(num_boxes, dtype=torch.long, device=coarse_logits.device)
    idx += shift[:, None]
    point_coords = point_coords.view(-1, 2)[idx.view(-1), :].view(
        num_boxes, num_uncertain_points, 2
    )
    if num_random_points > 0:
        point_coords = torch.cat(
            [
                point_coords,
                torch.rand(num_boxes, num_random_points, 2, device=coarse_logits.device),
            ],
            dim=1,
        )
    return point_coords


def get_uncertain_point_coords_on_grid(uncertainty_map, num_points):
    """
    Find `num_points` most uncertain points from `uncertainty_map` grid.

    Args:
        uncertainty_map (Tensor): A tensor of shape (N, 1, H, W) that contains uncertainty
            values for a set of points on a regular H x W grid.
        num_points (int): The number of points P to select.

    Returns:
        point_indices (Tensor): A tensor of shape (N, P) that contains indices from
            [0, H x W) of the most uncertain points.
        point_coords (Tensor): A tensor of shape (N, P, 2) that contains [0, 1] x [0, 1] normalized
            coordinates of the most uncertain points from the H x W grid.
    """
    R, _, H, W = uncertainty_map.shape
    h_step = 1.0 / float(H)
    w_step = 1.0 / float(W)

    num_points = min(H * W, num_points)
    point_indices = torch.topk(uncertainty_map.view(R, H * W), k=num_points, dim=1)[1]
    point_coords = torch.zeros(R, num_points, 2, dtype=torch.float, device=uncertainty_map.device)
    point_coords[:, :, 0] = w_step / 2.0 + (point_indices % W).to(torch.float) * w_step
    point_coords[:, :, 1] = h_step / 2.0 + (point_indices // W).to(torch.float) * h_step
    return point_indices, point_coords