Reference for ultralytics/utils/tal.py#

class TaskAlignedAssigner(nn.Module):
    """A task-aligned assigner for object detection.

    This class assigns ground-truth (gt) objects to anchors based on the task-aligned metric, which combines both
    classification and localization information.

    Attributes:
        topk (int): The number of top candidates to consider.
        topk2 (int): Secondary topk value for additional filtering, defaults to topk.
        num_classes (int): The number of object classes.
        alpha (float): The alpha parameter for the classification component of the task-aligned metric.
        beta (float): The beta parameter for the localization component of the task-aligned metric.
        stride (list): List of stride values for different feature levels.
        stride_val (int): Minimum ground-truth box side in select_candidates_in_gts; smaller sides are enlarged to it.
        eps (float): A small value to prevent division by zero.
    """

    def __init__(
        self,
        topk: int = 13,
        num_classes: int = 80,
        alpha: float = 1.0,
        beta: float = 6.0,
        stride: list | None = None,
        eps: float = 1e-9,
        topk2: int | None = None,
    ):
        """Initialize a TaskAlignedAssigner object with customizable hyperparameters.

        Args:
            topk (int, optional): The number of top candidates to consider.
            num_classes (int, optional): The number of object classes.
            alpha (float, optional): The alpha parameter for the classification component of the task-aligned metric.
            beta (float, optional): The beta parameter for the localization component of the task-aligned metric.
            stride (list, optional): List of stride values for different feature levels.
            eps (float, optional): A small value to prevent division by zero.
            topk2 (int, optional): Secondary topk value for additional filtering. If None, topk is used.
        """
        super().__init__()
        self.topk = topk
        self.topk2 = topk2 or topk
        self.num_classes = num_classes
        self.alpha = alpha
        self.beta = beta
        self.stride = stride if stride is not None else [8, 16, 32]
        self.stride_val = self.stride[1] if len(self.stride) > 1 else self.stride[0]
        self.eps = eps
        self._oom_warned = False

def _forward(self, pd_scores, pd_bboxes, anc_points, gt_labels, gt_bboxes, mask_gt):
    """Compute the task-aligned assignment.

    Args:
        pd_scores (torch.Tensor): Predicted classification scores with shape (bs, num_total_anchors, num_classes).
        pd_bboxes (torch.Tensor): Predicted bounding boxes with shape (bs, num_total_anchors, 4).
        anc_points (torch.Tensor): Anchor points with shape (num_total_anchors, 2).
        gt_labels (torch.Tensor): Ground truth labels with shape (bs, n_max_boxes, 1).
        gt_bboxes (torch.Tensor): Ground truth boxes with shape (bs, n_max_boxes, 4).
        mask_gt (torch.Tensor): Mask for valid ground truth boxes with shape (bs, n_max_boxes, 1).

    Returns:
        target_labels (torch.Tensor): Target labels with shape (bs, num_total_anchors).
        target_bboxes (torch.Tensor): Target bounding boxes with shape (bs, num_total_anchors, 4).
        target_scores (torch.Tensor): Target scores with shape (bs, num_total_anchors, num_classes).
        fg_mask (torch.Tensor): Foreground mask with shape (bs, num_total_anchors).
        target_gt_idx (torch.Tensor): Target ground truth indices with shape (bs, num_total_anchors).
    """
    mask_pos, align_metric, overlaps = self.get_pos_mask(
        pd_scores, pd_bboxes, gt_labels, gt_bboxes, anc_points, mask_gt
    )

    target_gt_idx, fg_mask, mask_pos = self.select_highest_overlaps(
        mask_pos, overlaps, self.n_max_boxes, align_metric
    )

    # Assigned target
    target_labels, target_bboxes, target_scores = self.get_targets(gt_labels, gt_bboxes, target_gt_idx, fg_mask)

    # Normalize
    align_metric *= mask_pos
    pos_align_metrics = align_metric.amax(dim=-1, keepdim=True)  # b, max_num_obj
    overlaps *= mask_pos
    pos_overlaps = overlaps.amax(dim=-1, keepdim=True)  # b, max_num_obj
    align_metric.mul_(pos_overlaps).div_(pos_align_metrics + self.eps)
    norm_align_metric = align_metric.amax(-2).unsqueeze(-1)
    target_scores = target_scores * norm_align_metric

    return target_labels, target_bboxes, target_scores, fg_mask.bool(), target_gt_idx

@torch.no_grad()
def forward(self, pd_scores, pd_bboxes, anc_points, gt_labels, gt_bboxes, mask_gt):
    """Compute the task-aligned assignment.

    Args:
        pd_scores (torch.Tensor): Predicted classification scores with shape (bs, num_total_anchors, num_classes).
        pd_bboxes (torch.Tensor): Predicted bounding boxes with shape (bs, num_total_anchors, 4).
        anc_points (torch.Tensor): Anchor points with shape (num_total_anchors, 2).
        gt_labels (torch.Tensor): Ground truth labels with shape (bs, n_max_boxes, 1).
        gt_bboxes (torch.Tensor): Ground truth boxes with shape (bs, n_max_boxes, 4).
        mask_gt (torch.Tensor): Mask for valid ground truth boxes with shape (bs, n_max_boxes, 1).

    Returns:
        target_labels (torch.Tensor): Target labels with shape (bs, num_total_anchors).
        target_bboxes (torch.Tensor): Target bounding boxes with shape (bs, num_total_anchors, 4).
        target_scores (torch.Tensor): Target scores with shape (bs, num_total_anchors, num_classes).
        fg_mask (torch.Tensor): Foreground mask with shape (bs, num_total_anchors).
        target_gt_idx (torch.Tensor): Target ground truth indices with shape (bs, num_total_anchors).

    Notes:
        On a CUDA out-of-memory error the assignment is retried one image at a time.

    References:
        https://github.com/Nioolek/PPYOLOE_pytorch/blob/master/ppyoloe/assigner/tal_assigner.py
    """
    self.bs = pd_scores.shape[0]
    self.n_max_boxes = gt_bboxes.shape[1]
    if self.n_max_boxes == 0:
        return (
            torch.full_like(pd_scores[..., 0], self.num_classes),
            torch.zeros_like(pd_bboxes),
            torch.zeros_like(pd_scores),
            torch.zeros_like(pd_scores[..., 0], dtype=torch.bool),
            torch.zeros_like(pd_scores[..., 0]),
        )

    try:
        return self._forward(pd_scores, pd_bboxes, anc_points, gt_labels, gt_bboxes, mask_gt)
    except RuntimeError as e:
        if "out of memory" not in str(e).lower():
            raise
    # Recover outside the except block so e.__traceback__ releases the failed attempt's GPU intermediates.
    bs, n_max_boxes = self.bs, self.n_max_boxes
    if not self._oom_warned:
        LOGGER.warning(
            f"CUDA out of memory in TaskAlignedAssigner with batch_size={bs} and max_num_obj={n_max_boxes}; "
            "retrying assignment one image at a time on GPU. Model forward batch size is unchanged."
        )
        self._oom_warned = True
    last_gt_idx = (
        mask_gt.squeeze(-1)
        .bool()
        .mul(torch.arange(1, n_max_boxes + 1, device=mask_gt.device))
        .amax(1)
        .clamp_(min=1)
        .tolist()
    )
    self.bs = 1
    results = None
    try:
        for i, self.n_max_boxes in enumerate(last_gt_idx):
            result = self._forward(
                pd_scores[i : i + 1],
                pd_bboxes[i : i + 1],
                anc_points,
                gt_labels[i : i + 1, : self.n_max_boxes],
                gt_bboxes[i : i + 1, : self.n_max_boxes],
                mask_gt[i : i + 1, : self.n_max_boxes],
            )
            if results is None:
                results = tuple(x.new_empty((bs, *x.shape[1:])) for x in result)
            for output, x in zip(results, result):
                output[i] = x[0]
    finally:
        self.bs, self.n_max_boxes = bs, n_max_boxes
    return results

def get_box_metrics(self, pd_scores, pd_bboxes, gt_labels, gt_bboxes, mask_gt):
    """Compute alignment metric given predicted and ground truth bounding boxes.

    Args:
        pd_scores (torch.Tensor): Predicted classification scores with shape (bs, num_total_anchors, num_classes).
        pd_bboxes (torch.Tensor): Predicted bounding boxes with shape (bs, num_total_anchors, 4).
        gt_labels (torch.Tensor): Ground truth labels with shape (bs, n_max_boxes, 1).
        gt_bboxes (torch.Tensor): Ground truth boxes with shape (bs, n_max_boxes, 4).
        mask_gt (torch.Tensor): Mask for valid ground truth boxes with shape (bs, n_max_boxes, h*w).

    Returns:
        align_metric (torch.Tensor): Alignment metric combining classification and localization with shape (bs,
            n_max_boxes, h*w).
        overlaps (torch.Tensor): IoU overlaps between predicted and ground truth boxes with shape (bs, n_max_boxes,
            h*w).
    """
    na = pd_bboxes.shape[-2]
    mask_gt = mask_gt.bool()  # b, max_num_obj, h*w
    shape = self.bs, self.n_max_boxes, na
    indices = mask_gt.nonzero(as_tuple=True)
    bbox_scores = pd_scores[indices[0], indices[2], gt_labels[indices[0], indices[1], 0].long()]
    overlap_values = self.iou_calculation(gt_bboxes[indices[:2]], pd_bboxes[indices[0], indices[2]])
    align_values = bbox_scores.pow(self.alpha) * overlap_values.pow(self.beta)

    overlaps = torch.zeros(shape, dtype=pd_bboxes.dtype, device=pd_bboxes.device)
    align_metric = torch.zeros(shape, dtype=align_values.dtype, device=pd_scores.device)
    overlaps[indices] = overlap_values
    align_metric[indices] = align_values
    return align_metric, overlaps

def get_pos_mask(self, pd_scores, pd_bboxes, gt_labels, gt_bboxes, anc_points, mask_gt):
    """Get positive mask for each ground truth box.

    Args:
        pd_scores (torch.Tensor): Predicted classification scores with shape (bs, num_total_anchors, num_classes).
        pd_bboxes (torch.Tensor): Predicted bounding boxes with shape (bs, num_total_anchors, 4).
        gt_labels (torch.Tensor): Ground truth labels with shape (bs, n_max_boxes, 1).
        gt_bboxes (torch.Tensor): Ground truth boxes with shape (bs, n_max_boxes, 4).
        anc_points (torch.Tensor): Anchor points with shape (num_total_anchors, 2).
        mask_gt (torch.Tensor): Mask for valid ground truth boxes with shape (bs, n_max_boxes, 1).

    Returns:
        mask_pos (torch.Tensor): Positive mask with shape (bs, max_num_obj, h*w).
        align_metric (torch.Tensor): Alignment metric with shape (bs, max_num_obj, h*w).
        overlaps (torch.Tensor): Overlaps between predicted vs ground truth boxes with shape (bs, max_num_obj, h*w).
    """
    mask_in_gts = self.select_candidates_in_gts(anc_points, gt_bboxes, mask_gt)
    # Get anchor_align metric, (b, max_num_obj, h*w)
    align_metric, overlaps = self.get_box_metrics(pd_scores, pd_bboxes, gt_labels, gt_bboxes, mask_in_gts * mask_gt)
    # Get topk_metric mask, (b, max_num_obj, h*w)
    mask_topk = self.select_topk_candidates(align_metric, topk_mask=mask_gt.expand(-1, -1, self.topk).bool())
    # Merge all mask to a final mask, (b, max_num_obj, h*w)
    mask_pos = mask_topk.mul_(mask_in_gts).mul_(mask_gt.bool())

    return mask_pos, align_metric, overlaps

def get_targets(self, gt_labels, gt_bboxes, target_gt_idx, fg_mask):
    """Compute target labels, target bounding boxes, and target scores for the positive anchor points.

    Args:
        gt_labels (torch.Tensor): Ground truth labels of shape (b, max_num_obj, 1), where b is the batch size and
            max_num_obj is the maximum number of objects.
        gt_bboxes (torch.Tensor): Ground truth bounding boxes of shape (b, max_num_obj, 4).
        target_gt_idx (torch.Tensor): Indices of the assigned ground truth objects for positive anchor points, with
            shape (b, h*w), where h*w is the total number of anchor points.
        fg_mask (torch.Tensor): A boolean tensor of shape (b, h*w) indicating the positive (foreground) anchor
            points.

    Returns:
        target_labels (torch.Tensor): Target labels for positive anchor points with shape (b, h*w).
        target_bboxes (torch.Tensor): Target bounding boxes for positive anchor points with shape (b, h*w, 4).
        target_scores (torch.Tensor): Target scores for positive anchor points with shape (b, h*w, num_classes).
    """
    # Assigned target labels, (b, 1)
    batch_ind = torch.arange(end=self.bs, dtype=torch.int64, device=gt_labels.device)[..., None]
    target_gt_idx = target_gt_idx + batch_ind * self.n_max_boxes  # (b, h*w)
    target_labels = gt_labels.long().flatten()[target_gt_idx]  # (b, h*w)

    # Assigned target boxes, (b, max_num_obj, 4) -> (b, h*w, 4)
    target_bboxes = gt_bboxes.view(-1, gt_bboxes.shape[-1])[target_gt_idx]

    # Assigned target scores
    target_labels.clamp_(0)

    # 10x faster than F.one_hot()
    target_scores = torch.zeros(
        (target_labels.shape[0], target_labels.shape[1], self.num_classes),
        dtype=torch.int8,
        device=target_labels.device,
    )  # (b, h*w, 80)
    target_scores.scatter_(2, target_labels.unsqueeze(-1), 1)

    target_scores = target_scores * (fg_mask[:, :, None] > 0)

    return target_labels, target_bboxes, target_scores

def iou_calculation(self, gt_bboxes, pd_bboxes):
    """Calculate CIoU for horizontal bounding boxes, clamped to be non-negative.

    Args:
        gt_bboxes (torch.Tensor): Ground truth boxes in xyxy format with shape (N, 4).
        pd_bboxes (torch.Tensor): Predicted boxes in xyxy format with shape (N, 4).

    Returns:
        (torch.Tensor): CIoU values between each pair of boxes with shape (N,).
    """
    return bbox_iou(gt_bboxes, pd_bboxes, xywh=False, CIoU=True).squeeze(-1).clamp_(0)

def select_candidates_in_gts(self, xy_centers, gt_bboxes, mask_gt, eps=1e-9):
    """Select positive anchor centers within ground truth bounding boxes.

    Args:
        xy_centers (torch.Tensor): Anchor center coordinates, shape (h*w, 2).
        gt_bboxes (torch.Tensor): Ground truth bounding boxes, shape (b, n_boxes, 4).
        mask_gt (torch.Tensor): Mask for valid ground truth boxes, shape (b, n_boxes, 1).
        eps (float, optional): Small value for numerical stability.

    Returns:
        (torch.Tensor): Boolean mask of positive anchors, shape (b, n_boxes, h*w).

    Notes:
        - b: batch size, n_boxes: number of ground truth boxes, h: height, w: width.
        - Bounding box format: [x_min, y_min, x_max, y_max].
        - Valid boxes with a side smaller than stride_val are enlarged to stride_val about their center.
    """
    gt_bboxes_xywh = xyxy2xywh(gt_bboxes)
    wh_mask = gt_bboxes_xywh[..., 2:] < self.stride_val  # floor tiny sides so the pool grows monotonically
    gt_bboxes_xywh[..., 2:] = torch.where(
        (wh_mask * mask_gt).bool(),
        torch.tensor(self.stride_val, dtype=gt_bboxes_xywh.dtype, device=gt_bboxes_xywh.device),
        gt_bboxes_xywh[..., 2:],
    )
    gt_bboxes = xywh2xyxy(gt_bboxes_xywh)

    lt, rb = gt_bboxes.unsqueeze(2).chunk(2, 3)  # (b, n_boxes, 1, 2) left-top, right-bottom
    mask = xy_centers[:, 0] - lt[..., 0] > eps
    mask &= xy_centers[:, 1] - lt[..., 1] > eps
    mask &= rb[..., 0] - xy_centers[:, 0] > eps
    mask &= rb[..., 1] - xy_centers[:, 1] > eps
    return mask

def select_highest_overlaps(self, mask_pos, overlaps, n_max_boxes, align_metric):
    """Select anchor boxes with highest IoU when assigned to multiple ground truths.

    Args:
        mask_pos (torch.Tensor): Positive mask, shape (b, n_max_boxes, h*w).
        overlaps (torch.Tensor): IoU overlaps, shape (b, n_max_boxes, h*w).
        n_max_boxes (int): Maximum number of ground truth boxes.
        align_metric (torch.Tensor): Alignment metric, shape (b, n_max_boxes, h*w), used for the topk2 filtering.

    Returns:
        target_gt_idx (torch.Tensor): Indices of assigned ground truths, shape (b, h*w).
        fg_mask (torch.Tensor): Foreground mask, shape (b, h*w).
        mask_pos (torch.Tensor): Updated positive mask, shape (b, n_max_boxes, h*w).
    """
    # Convert (b, n_max_boxes, h*w) -> (b, h*w)
    fg_mask = mask_pos.sum(-2)
    # Anchors assigned to multiple gt_bboxes keep the highest overlap; a no-op when there are none, without a sync
    mask_multi_gts = (fg_mask.unsqueeze(1) > 1).expand(-1, n_max_boxes, -1)  # (b, n_max_boxes, h*w)
    max_overlaps_idx = overlaps.max(1).indices  # (b, h*w)
    is_max_overlaps = torch.zeros(mask_pos.shape, dtype=mask_pos.dtype, device=mask_pos.device)
    is_max_overlaps.scatter_(1, max_overlaps_idx.unsqueeze(1), 1)
    mask_pos = torch.where(mask_multi_gts, is_max_overlaps, mask_pos)  # (b, n_max_boxes, h*w)

    if self.topk2 != self.topk:
        align_metric = align_metric * mask_pos  # update overlaps
        # (b, n_max_boxes, topk2)
        max_overlaps_idx = torch.topk(align_metric, self.topk2, dim=-1, largest=True).indices
        topk_idx = torch.zeros(mask_pos.shape, dtype=mask_pos.dtype, device=mask_pos.device)  # update mask_pos
        topk_idx.scatter_(-1, max_overlaps_idx, 1.0)
        mask_pos *= topk_idx
    # Each anchor now serves at most one gt, so the column max is both its foreground flag and its gt index
    fg_mask, target_gt_idx = mask_pos.max(-2)  # (b, h*w)
    return target_gt_idx, fg_mask, mask_pos

def select_topk_candidates(self, metrics, topk_mask=None):
    """Select the top-k candidates based on the given metrics.

    Args:
        metrics (torch.Tensor): A tensor of shape (b, max_num_obj, h*w), where b is the batch size, max_num_obj is
            the maximum number of objects, and h*w represents the total number of anchor points.
        topk_mask (torch.Tensor, optional): An optional boolean tensor of shape (b, max_num_obj, topk), where topk
            is the number of top candidates to consider. If not provided, it is derived from whether each row's
            largest metric exceeds eps.

    Returns:
        (torch.Tensor): An int8 tensor of shape (b, max_num_obj, h*w) that is 1 for the selected top-k candidates
            and 0 elsewhere.
    """
    # (b, max_num_obj, topk)
    topk_metrics, topk_idxs = torch.topk(metrics, self.topk, dim=-1, largest=True)
    if topk_mask is None:
        topk_mask = (topk_metrics.max(-1, keepdim=True)[0] > self.eps).expand_as(topk_idxs)
    # (b, max_num_obj, topk)
    topk_idxs.masked_fill_(~topk_mask, 0)

    # Count how many of the topk lists select each anchor; scatter_add_ accumulates duplicate indices in one pass
    count_tensor = torch.zeros(metrics.shape, dtype=torch.int8, device=topk_idxs.device)
    count_tensor.scatter_add_(-1, topk_idxs, torch.ones_like(topk_idxs, dtype=torch.int8))
    # Filter invalid bboxes
    count_tensor.masked_fill_(count_tensor > 1, 0)

    return count_tensor

class RotatedTaskAlignedAssigner(TaskAlignedAssigner):
    """Assigns ground-truth objects to rotated bounding boxes using a task-aligned metric."""

def iou_calculation(self, gt_bboxes, pd_bboxes):
    """Calculate probabilistic IoU (ProbIoU) for rotated bounding boxes, clamped to be non-negative."""
    return probiou(gt_bboxes, pd_bboxes).squeeze(-1).clamp_(0)

def select_candidates_in_gts(self, xy_centers, gt_bboxes, mask_gt):
    """Select positive anchor centers within rotated ground truth bounding boxes.

    Args:
        xy_centers (torch.Tensor): Anchor center coordinates with shape (h*w, 2).
        gt_bboxes (torch.Tensor): Ground truth bounding boxes in xywhr format with shape (b, n_boxes, 5).
        mask_gt (torch.Tensor): Mask for valid ground truth boxes with shape (b, n_boxes, 1).

    Returns:
        (torch.Tensor): Boolean mask of positive anchors with shape (b, n_boxes, h*w).
    """
    gt_bboxes_clone = gt_bboxes.clone()
    wh_mask = gt_bboxes_clone[..., 2:4] < self.stride_val
    gt_bboxes_clone[..., 2:4] = torch.where(
        (wh_mask * mask_gt).bool(),
        torch.tensor(self.stride_val, dtype=gt_bboxes_clone.dtype, device=gt_bboxes_clone.device),
        gt_bboxes_clone[..., 2:4],
    )

    # (b, n_boxes, 5) --> (b, n_boxes, 4, 2)
    corners = xywhr2xyxyxyxy(gt_bboxes_clone)
    # (b, n_boxes, 1, 2)
    a, b, _, d = corners.split(1, dim=-2)
    ab = b - a
    ad = d - a

    # (b, n_boxes, h*w) per coordinate
    apx = xy_centers[:, 0] - a[..., 0]
    apy = xy_centers[:, 1] - a[..., 1]
    norm_ab = (ab * ab).sum(dim=-1)
    norm_ad = (ad * ad).sum(dim=-1)
    ap_dot_ab = apx * ab[..., 0] + apy * ab[..., 1]
    ap_dot_ad = apx * ad[..., 0] + apy * ad[..., 1]
    return (ap_dot_ab >= 0) & (ap_dot_ab <= norm_ab) & (ap_dot_ad >= 0) & (ap_dot_ad <= norm_ad)  # is_in_box

def make_anchors(feats, strides, grid_cell_offset=0.5):
    """Generate anchor points and stride tensors from feature maps.

    Args:
        feats (list[torch.Tensor] | torch.Tensor): Feature maps with shape (b, c, h, w) per level, or a tensor of
            per-level (h, w) sizes.
        strides (torch.Tensor | list): Stride of each feature level.
        grid_cell_offset (float): Offset added to grid cell indices, 0.5 for cell centers.

    Returns:
        anchor_points (torch.Tensor): Anchor points in grid units with shape (N, 2), where N is the sum of h*w over all
            levels.
        stride_tensor (torch.Tensor): Stride of each anchor point with shape (N, 1).
    """
    anchor_points, stride_tensor = [], []
    assert feats is not None
    dtype = feats[0].dtype
    for i in range(len(feats)):  # use len(feats) to avoid TracerWarning from iterating over strides tensor
        stride = strides[i]
        h, w = feats[i].shape[2:] if isinstance(feats, list) else (int(feats[i][0]), int(feats[i][1]))
        # no cumsum (nondeterministic on CUDA), no device= (baked into traces), no out= (does not convert to CoreML)
        sx = torch.arange(w).type_as(feats[0]) + grid_cell_offset  # shift x
        sy = torch.arange(h).type_as(feats[0]) + grid_cell_offset  # shift y
        sy, sx = torch.meshgrid(sy, sx, indexing="ij") if TORCH_1_11 else torch.meshgrid(sy, sx)
        anchor_points.append(torch.stack((sx, sy), -1).view(-1, 2))
        stride_tensor.append(feats[0].new_full((h * w, 1), stride, dtype=dtype))
    return torch.cat(anchor_points), torch.cat(stride_tensor)

def dist2bbox(distance, anchor_points, xywh=True, dim=-1):
    """Transform distance (ltrb) to box (xywh or xyxy).

    Args:
        distance (torch.Tensor): Left, top, right, bottom distances from the anchor points with size 4 along dim.
        anchor_points (torch.Tensor): Anchor points with size 2 along dim.
        xywh (bool): Whether to return boxes in xywh format (True) or xyxy format (False).
        dim (int): Dimension along which to split and concatenate.

    Returns:
        (torch.Tensor): Decoded bounding boxes.
    """
    lt, rb = distance.chunk(2, dim)
    x1y1 = anchor_points - lt
    x2y2 = anchor_points + rb
    if xywh:
        c_xy = (x1y1 + x2y2) / 2
        wh = x2y2 - x1y1
        return torch.cat([c_xy, wh], dim)  # xywh bbox
    return torch.cat((x1y1, x2y2), dim)  # xyxy bbox

def bbox2dist(anchor_points: torch.Tensor, bbox: torch.Tensor, reg_max: int | None = None) -> torch.Tensor:
    """Transform bbox (xyxy) to distance (ltrb).

    Args:
        anchor_points (torch.Tensor): Anchor points with shape (..., 2).
        bbox (torch.Tensor): Bounding boxes in xyxy format with shape (..., 4).
        reg_max (int, optional): If provided, distances are clamped to [0, reg_max - 0.01].

    Returns:
        (torch.Tensor): Left, top, right, bottom distances with shape (..., 4).
    """
    x1y1, x2y2 = bbox.chunk(2, -1)
    dist = torch.cat((anchor_points - x1y1, x2y2 - anchor_points), -1)
    if reg_max is not None:
        dist = dist.clamp_(0, reg_max - 0.01)  # dist (lt, rb)
    return dist

def dist2rbox(pred_dist, pred_angle, anchor_points, dim=-1):
    """Decode predicted rotated bounding box coordinates from anchor points and distribution.

    Args:
        pred_dist (torch.Tensor): Predicted left, top, right, bottom distances with shape (bs, h*w, 4).
        pred_angle (torch.Tensor): Predicted angle with shape (bs, h*w, 1).
        anchor_points (torch.Tensor): Anchor points with shape (h*w, 2).
        dim (int, optional): Dimension along which to split.

    Returns:
        (torch.Tensor): Predicted rotated bounding boxes in xywh format (angle excluded) with shape (bs, h*w, 4).
    """
    lt, rb = pred_dist.split(2, dim=dim)
    cos, sin = torch.cos(pred_angle), torch.sin(pred_angle)
    # (bs, h*w, 1)
    xf, yf = ((rb - lt) / 2).split(1, dim=dim)
    x, y = xf * cos - yf * sin, xf * sin + yf * cos
    xy = torch.cat([x, y], dim=dim) + anchor_points
    return torch.cat([xy, lt + rb], dim=dim)

def rbox2dist(
    target_bboxes: torch.Tensor,
    anchor_points: torch.Tensor,
    target_angle: torch.Tensor,
    dim: int = -1,
    reg_max: int | None = None,
):
    """Transform rotated bounding box (xywh) to distance (ltrb). This is the inverse of dist2rbox.

    Args:
        target_bboxes (torch.Tensor): Target rotated bounding boxes with shape (bs, h*w, 4), format [x, y, w, h].
        anchor_points (torch.Tensor): Anchor points with shape (h*w, 2).
        target_angle (torch.Tensor): Target angle with shape (bs, h*w, 1).
        dim (int, optional): Dimension along which to split.
        reg_max (int, optional): Maximum regression value for clamping.

    Returns:
        (torch.Tensor): Rotated distance with shape (bs, h*w, 4), format [l, t, r, b].
    """
    xy, wh = target_bboxes.split(2, dim=dim)
    offset = xy - anchor_points  # (bs, h*w, 2)
    offset_x, offset_y = offset.split(1, dim=dim)
    cos, sin = torch.cos(target_angle), torch.sin(target_angle)
    xf = offset_x * cos + offset_y * sin
    yf = -offset_x * sin + offset_y * cos

    w, h = wh.split(1, dim=dim)
    target_l = w / 2 - xf
    target_t = h / 2 - yf
    target_r = w / 2 + xf
    target_b = h / 2 + yf

    dist = torch.cat([target_l, target_t, target_r, target_b], dim=dim)
    if reg_max is not None:
        dist = dist.clamp_(0, reg_max - 0.01)

    return dist