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1# Copyright (c) Facebook, Inc. and its affiliates.2import math3import numpy as np4from enum import IntEnum, unique5from typing import List, Tuple, Union6import torch7from torch import device8 9_RawBoxType = Union[List[float], Tuple[float, ...], torch.Tensor, np.ndarray]10 11 12@unique13class BoxMode(IntEnum):14    """15    Enum of different ways to represent a box.16    """17 18    XYXY_ABS = 019    """20    (x0, y0, x1, y1) in absolute floating points coordinates.21    The coordinates in range [0, width or height].22    """23    XYWH_ABS = 124    """25    (x0, y0, w, h) in absolute floating points coordinates.26    """27    XYXY_REL = 228    """29    Not yet supported!30    (x0, y0, x1, y1) in range [0, 1]. They are relative to the size of the image.31    """32    XYWH_REL = 333    """34    Not yet supported!35    (x0, y0, w, h) in range [0, 1]. They are relative to the size of the image.36    """37    XYWHA_ABS = 438    """39    (xc, yc, w, h, a) in absolute floating points coordinates.40    (xc, yc) is the center of the rotated box, and the angle a is in degrees ccw.41    """42 43    @staticmethod44    def convert(box: _RawBoxType, from_mode: "BoxMode", to_mode: "BoxMode") -> _RawBoxType:45        """46        Args:47            box: can be a k-tuple, k-list or an Nxk array/tensor, where k = 4 or 548            from_mode, to_mode (BoxMode)49 50        Returns:51            The converted box of the same type.52        """53        if from_mode == to_mode:54            return box55 56        original_type = type(box)57        is_numpy = isinstance(box, np.ndarray)58        single_box = isinstance(box, (list, tuple))59        if single_box:60            assert len(box) == 4 or len(box) == 5, (61                "BoxMode.convert takes either a k-tuple/list or an Nxk array/tensor,"62                " where k == 4 or 5"63            )64            arr = torch.tensor(box)[None, :]65        else:66            # avoid modifying the input box67            if is_numpy:68                arr = torch.from_numpy(np.asarray(box)).clone()69            else:70                arr = box.clone()71 72        assert to_mode not in [BoxMode.XYXY_REL, BoxMode.XYWH_REL] and from_mode not in [73            BoxMode.XYXY_REL,74            BoxMode.XYWH_REL,75        ], "Relative mode not yet supported!"76 77        if from_mode == BoxMode.XYWHA_ABS and to_mode == BoxMode.XYXY_ABS:78            assert (79                arr.shape[-1] == 580            ), "The last dimension of input shape must be 5 for XYWHA format"81            original_dtype = arr.dtype82            arr = arr.double()83 84            w = arr[:, 2]85            h = arr[:, 3]86            a = arr[:, 4]87            c = torch.abs(torch.cos(a * math.pi / 180.0))88            s = torch.abs(torch.sin(a * math.pi / 180.0))89            # This basically computes the horizontal bounding rectangle of the rotated box90            new_w = c * w + s * h91            new_h = c * h + s * w92 93            # convert center to top-left corner94            arr[:, 0] -= new_w / 2.095            arr[:, 1] -= new_h / 2.096            # bottom-right corner97            arr[:, 2] = arr[:, 0] + new_w98            arr[:, 3] = arr[:, 1] + new_h99 100            arr = arr[:, :4].to(dtype=original_dtype)101        elif from_mode == BoxMode.XYWH_ABS and to_mode == BoxMode.XYWHA_ABS:102            original_dtype = arr.dtype103            arr = arr.double()104            arr[:, 0] += arr[:, 2] / 2.0105            arr[:, 1] += arr[:, 3] / 2.0106            angles = torch.zeros((arr.shape[0], 1), dtype=arr.dtype)107            arr = torch.cat((arr, angles), axis=1).to(dtype=original_dtype)108        else:109            if to_mode == BoxMode.XYXY_ABS and from_mode == BoxMode.XYWH_ABS:110                arr[:, 2] += arr[:, 0]111                arr[:, 3] += arr[:, 1]112            elif from_mode == BoxMode.XYXY_ABS and to_mode == BoxMode.XYWH_ABS:113                arr[:, 2] -= arr[:, 0]114                arr[:, 3] -= arr[:, 1]115            else:116                raise NotImplementedError(117                    "Conversion from BoxMode {} to {} is not supported yet".format(118                        from_mode, to_mode119                    )120                )121 122        if single_box:123            return original_type(arr.flatten().tolist())124        if is_numpy:125            return arr.numpy()126        else:127            return arr128 129 130class Boxes:131    """132    This structure stores a list of boxes as a Nx4 torch.Tensor.133    It supports some common methods about boxes134    (`area`, `clip`, `nonempty`, etc),135    and also behaves like a Tensor136    (support indexing, `to(device)`, `.device`, and iteration over all boxes)137 138    Attributes:139        tensor (torch.Tensor): float matrix of Nx4. Each row is (x1, y1, x2, y2).140    """141 142    def __init__(self, tensor: torch.Tensor):143        """144        Args:145            tensor (Tensor[float]): a Nx4 matrix.  Each row is (x1, y1, x2, y2).146        """147        if not isinstance(tensor, torch.Tensor):148            tensor = torch.as_tensor(tensor, dtype=torch.float32, device=torch.device("cpu"))149        else:150            tensor = tensor.to(torch.float32)151        if tensor.numel() == 0:152            # Use reshape, so we don't end up creating a new tensor that does not depend on153            # the inputs (and consequently confuses jit)154            tensor = tensor.reshape((-1, 4)).to(dtype=torch.float32)155        assert tensor.dim() == 2 and tensor.size(-1) == 4, tensor.size()156 157        self.tensor = tensor158 159    def clone(self) -> "Boxes":160        """161        Clone the Boxes.162 163        Returns:164            Boxes165        """166        return Boxes(self.tensor.clone())167 168    def to(self, device: torch.device):169        # Boxes are assumed float32 and does not support to(dtype)170        return Boxes(self.tensor.to(device=device))171 172    def area(self) -> torch.Tensor:173        """174        Computes the area of all the boxes.175 176        Returns:177            torch.Tensor: a vector with areas of each box.178        """179        box = self.tensor180        area = (box[:, 2] - box[:, 0]) * (box[:, 3] - box[:, 1])181        return area182 183    def clip(self, box_size: Tuple[int, int]) -> None:184        """185        Clip (in place) the boxes by limiting x coordinates to the range [0, width]186        and y coordinates to the range [0, height].187 188        Args:189            box_size (height, width): The clipping box's size.190        """191        assert torch.isfinite(self.tensor).all(), "Box tensor contains infinite or NaN!"192        h, w = box_size193        x1 = self.tensor[:, 0].clamp(min=0, max=w)194        y1 = self.tensor[:, 1].clamp(min=0, max=h)195        x2 = self.tensor[:, 2].clamp(min=0, max=w)196        y2 = self.tensor[:, 3].clamp(min=0, max=h)197        self.tensor = torch.stack((x1, y1, x2, y2), dim=-1)198 199    def nonempty(self, threshold: float = 0.0) -> torch.Tensor:200        """201        Find boxes that are non-empty.202        A box is considered empty, if either of its side is no larger than threshold.203 204        Returns:205            Tensor:206                a binary vector which represents whether each box is empty207                (False) or non-empty (True).208        """209        box = self.tensor210        widths = box[:, 2] - box[:, 0]211        heights = box[:, 3] - box[:, 1]212        keep = (widths > threshold) & (heights > threshold)213        return keep214 215    def __getitem__(self, item) -> "Boxes":216        """217        Args:218            item: int, slice, or a BoolTensor219 220        Returns:221            Boxes: Create a new :class:`Boxes` by indexing.222 223        The following usage are allowed:224 225        1. `new_boxes = boxes[3]`: return a `Boxes` which contains only one box.226        2. `new_boxes = boxes[2:10]`: return a slice of boxes.227        3. `new_boxes = boxes[vector]`, where vector is a torch.BoolTensor228           with `length = len(boxes)`. Nonzero elements in the vector will be selected.229 230        Note that the returned Boxes might share storage with this Boxes,231        subject to Pytorch's indexing semantics.232        """233        if isinstance(item, int):234            return Boxes(self.tensor[item].view(1, -1))235        b = self.tensor[item]236        assert b.dim() == 2, "Indexing on Boxes with {} failed to return a matrix!".format(item)237        return Boxes(b)238 239    def __len__(self) -> int:240        return self.tensor.shape[0]241 242    def __repr__(self) -> str:243        return "Boxes(" + str(self.tensor) + ")"244 245    def inside_box(self, box_size: Tuple[int, int], boundary_threshold: int = 0) -> torch.Tensor:246        """247        Args:248            box_size (height, width): Size of the reference box.249            boundary_threshold (int): Boxes that extend beyond the reference box250                boundary by more than boundary_threshold are considered "outside".251 252        Returns:253            a binary vector, indicating whether each box is inside the reference box.254        """255        height, width = box_size256        inds_inside = (257            (self.tensor[..., 0] >= -boundary_threshold)258            & (self.tensor[..., 1] >= -boundary_threshold)259            & (self.tensor[..., 2] < width + boundary_threshold)260            & (self.tensor[..., 3] < height + boundary_threshold)261        )262        return inds_inside263 264    def get_centers(self) -> torch.Tensor:265        """266        Returns:267            The box centers in a Nx2 array of (x, y).268        """269        return (self.tensor[:, :2] + self.tensor[:, 2:]) / 2270 271    def scale(self, scale_x: float, scale_y: float) -> None:272        """273        Scale the box with horizontal and vertical scaling factors274        """275        self.tensor[:, 0::2] *= scale_x276        self.tensor[:, 1::2] *= scale_y277 278    @classmethod279    def cat(cls, boxes_list: List["Boxes"]) -> "Boxes":280        """281        Concatenates a list of Boxes into a single Boxes282 283        Arguments:284            boxes_list (list[Boxes])285 286        Returns:287            Boxes: the concatenated Boxes288        """289        assert isinstance(boxes_list, (list, tuple))290        if len(boxes_list) == 0:291            return cls(torch.empty(0))292        assert all([isinstance(box, Boxes) for box in boxes_list])293 294        # use torch.cat (v.s. layers.cat) so the returned boxes never share storage with input295        cat_boxes = cls(torch.cat([b.tensor for b in boxes_list], dim=0))296        return cat_boxes297 298    @property299    def device(self) -> device:300        return self.tensor.device301 302    # type "Iterator[torch.Tensor]", yield, and iter() not supported by torchscript303    # https://github.com/pytorch/pytorch/issues/18627304    @torch.jit.unused305    def __iter__(self):306        """307        Yield a box as a Tensor of shape (4,) at a time.308        """309        yield from self.tensor310 311 312def pairwise_intersection(boxes1: Boxes, boxes2: Boxes) -> torch.Tensor:313    """314    Given two lists of boxes of size N and M,315    compute the intersection area between __all__ N x M pairs of boxes.316    The box order must be (xmin, ymin, xmax, ymax)317 318    Args:319        boxes1,boxes2 (Boxes): two `Boxes`. Contains N & M boxes, respectively.320 321    Returns:322        Tensor: intersection, sized [N,M].323    """324    boxes1, boxes2 = boxes1.tensor, boxes2.tensor325    width_height = torch.min(boxes1[:, None, 2:], boxes2[:, 2:]) - torch.max(326        boxes1[:, None, :2], boxes2[:, :2]327    )  # [N,M,2]328 329    width_height.clamp_(min=0)  # [N,M,2]330    intersection = width_height.prod(dim=2)  # [N,M]331    return intersection332 333 334# implementation from https://github.com/kuangliu/torchcv/blob/master/torchcv/utils/box.py335# with slight modifications336def pairwise_iou(boxes1: Boxes, boxes2: Boxes) -> torch.Tensor:337    """338    Given two lists of boxes of size N and M, compute the IoU339    (intersection over union) between **all** N x M pairs of boxes.340    The box order must be (xmin, ymin, xmax, ymax).341 342    Args:343        boxes1,boxes2 (Boxes): two `Boxes`. Contains N & M boxes, respectively.344 345    Returns:346        Tensor: IoU, sized [N,M].347    """348    area1 = boxes1.area()  # [N]349    area2 = boxes2.area()  # [M]350    inter = pairwise_intersection(boxes1, boxes2)351 352    # handle empty boxes353    iou = torch.where(354        inter > 0,355        inter / (area1[:, None] + area2 - inter),356        torch.zeros(1, dtype=inter.dtype, device=inter.device),357    )358    return iou359 360 361def pairwise_ioa(boxes1: Boxes, boxes2: Boxes) -> torch.Tensor:362    """363    Similar to :func:`pariwise_iou` but compute the IoA (intersection over boxes2 area).364 365    Args:366        boxes1,boxes2 (Boxes): two `Boxes`. Contains N & M boxes, respectively.367 368    Returns:369        Tensor: IoA, sized [N,M].370    """371    area2 = boxes2.area()  # [M]372    inter = pairwise_intersection(boxes1, boxes2)373 374    # handle empty boxes375    ioa = torch.where(376        inter > 0, inter / area2, torch.zeros(1, dtype=inter.dtype, device=inter.device)377    )378    return ioa379 380 381def pairwise_point_box_distance(points: torch.Tensor, boxes: Boxes):382    """383    Pairwise distance between N points and M boxes. The distance between a384    point and a box is represented by the distance from the point to 4 edges385    of the box. Distances are all positive when the point is inside the box.386 387    Args:388        points: Nx2 coordinates. Each row is (x, y)389        boxes: M boxes390 391    Returns:392        Tensor: distances of size (N, M, 4). The 4 values are distances from393            the point to the left, top, right, bottom of the box.394    """395    x, y = points.unsqueeze(dim=2).unbind(dim=1)  # (N, 1)396    x0, y0, x1, y1 = boxes.tensor.unsqueeze(dim=0).unbind(dim=2)  # (1, M)397    return torch.stack([x - x0, y - y0, x1 - x, y1 - y], dim=2)398 399 400def matched_pairwise_iou(boxes1: Boxes, boxes2: Boxes) -> torch.Tensor:401    """402    Compute pairwise intersection over union (IOU) of two sets of matched403    boxes that have the same number of boxes.404    Similar to :func:`pairwise_iou`, but computes only diagonal elements of the matrix.405 406    Args:407        boxes1 (Boxes): bounding boxes, sized [N,4].408        boxes2 (Boxes): same length as boxes1409    Returns:410        Tensor: iou, sized [N].411    """412    assert len(boxes1) == len(413        boxes2414    ), "boxlists should have the same" "number of entries, got {}, {}".format(415        len(boxes1), len(boxes2)416    )417    area1 = boxes1.area()  # [N]418    area2 = boxes2.area()  # [N]419    box1, box2 = boxes1.tensor, boxes2.tensor420    lt = torch.max(box1[:, :2], box2[:, :2])  # [N,2]421    rb = torch.min(box1[:, 2:], box2[:, 2:])  # [N,2]422    wh = (rb - lt).clamp(min=0)  # [N,2]423    inter = wh[:, 0] * wh[:, 1]  # [N]424    iou = inter / (area1 + area2 - inter)  # [N]425    return iou426