test_rotated_boxes.py

# Copyright (c) Facebook, Inc. and its affiliates. All Rights Reserved
from __future__ import absolute_import, division, print_function, unicode_literals
import logging
import math
import random
import unittest
import torch
from fvcore.common.benchmark import benchmark

from detectron2.layers.rotated_boxes import pairwise_iou_rotated
from detectron2.structures.boxes import Boxes
from detectron2.structures.rotated_boxes import RotatedBoxes, pairwise_iou

logger = logging.getLogger(__name__)


class TestRotatedBoxesLayer(unittest.TestCase):
    def test_iou_0_dim_cpu(self):
        boxes1 = torch.rand(0, 5, dtype=torch.float32)
        boxes2 = torch.rand(10, 5, dtype=torch.float32)
        expected_ious = torch.zeros(0, 10, dtype=torch.float32)
        ious = pairwise_iou_rotated(boxes1, boxes2)
        assert torch.allclose(ious, expected_ious)

        boxes1 = torch.rand(10, 5, dtype=torch.float32)
        boxes2 = torch.rand(0, 5, dtype=torch.float32)
        expected_ious = torch.zeros(10, 0, dtype=torch.float32)
        ious = pairwise_iou_rotated(boxes1, boxes2)
        assert torch.allclose(ious, expected_ious)

    @unittest.skipIf(not torch.cuda.is_available(), "CUDA not available")
    def test_iou_0_dim_cuda(self):
        boxes1 = torch.rand(0, 5, dtype=torch.float32)
        boxes2 = torch.rand(10, 5, dtype=torch.float32)
        expected_ious = torch.zeros(0, 10, dtype=torch.float32)
        ious_cuda = pairwise_iou_rotated(boxes1.cuda(), boxes2.cuda())
        assert torch.allclose(ious_cuda.cpu(), expected_ious)

        boxes1 = torch.rand(10, 5, dtype=torch.float32)
        boxes2 = torch.rand(0, 5, dtype=torch.float32)
        expected_ious = torch.zeros(10, 0, dtype=torch.float32)
        ious_cuda = pairwise_iou_rotated(boxes1.cuda(), boxes2.cuda())
        assert torch.allclose(ious_cuda.cpu(), expected_ious)

    def test_iou_half_overlap_cpu(self):
        boxes1 = torch.tensor([[0.5, 0.5, 1.0, 1.0, 0.0]], dtype=torch.float32)
        boxes2 = torch.tensor([[0.25, 0.5, 0.5, 1.0, 0.0]], dtype=torch.float32)
        expected_ious = torch.tensor([[0.5]], dtype=torch.float32)
        ious = pairwise_iou_rotated(boxes1, boxes2)
        assert torch.allclose(ious, expected_ious)

    @unittest.skipIf(not torch.cuda.is_available(), "CUDA not available")
    def test_iou_half_overlap_cuda(self):
        boxes1 = torch.tensor([[0.5, 0.5, 1.0, 1.0, 0.0]], dtype=torch.float32)
        boxes2 = torch.tensor([[0.25, 0.5, 0.5, 1.0, 0.0]], dtype=torch.float32)
        expected_ious = torch.tensor([[0.5]], dtype=torch.float32)
        ious_cuda = pairwise_iou_rotated(boxes1.cuda(), boxes2.cuda())
        assert torch.allclose(ious_cuda.cpu(), expected_ious)

    def test_iou_0_degree_cpu(self):
        boxes1 = torch.tensor(
            [[0.5, 0.5, 1.0, 1.0, 0.0], [0.5, 0.5, 1.0, 1.0, 0.0]], dtype=torch.float32
        )
        boxes2 = torch.tensor(
            [
                [0.5, 0.5, 1.0, 1.0, 0.0],
                [0.25, 0.5, 0.5, 1.0, 0.0],
                [0.5, 0.25, 1.0, 0.5, 0.0],
                [0.25, 0.25, 0.5, 0.5, 0.0],
                [0.75, 0.75, 0.5, 0.5, 0.0],
                [1.0, 1.0, 1.0, 1.0, 0.0],
            ],
            dtype=torch.float32,
        )
        expected_ious = torch.tensor(
            [
                [1.0, 0.5, 0.5, 0.25, 0.25, 0.25 / (2 - 0.25)],
                [1.0, 0.5, 0.5, 0.25, 0.25, 0.25 / (2 - 0.25)],
            ],
            dtype=torch.float32,
        )
        ious = pairwise_iou_rotated(boxes1, boxes2)
        assert torch.allclose(ious, expected_ious)

    @unittest.skipIf(not torch.cuda.is_available(), "CUDA not available")
    def test_iou_0_degree_cuda(self):
        boxes1 = torch.tensor(
            [[0.5, 0.5, 1.0, 1.0, 0.0], [0.5, 0.5, 1.0, 1.0, 0.0]], dtype=torch.float32
        )
        boxes2 = torch.tensor(
            [
                [0.5, 0.5, 1.0, 1.0, 0.0],
                [0.25, 0.5, 0.5, 1.0, 0.0],
                [0.5, 0.25, 1.0, 0.5, 0.0],
                [0.25, 0.25, 0.5, 0.5, 0.0],
                [0.75, 0.75, 0.5, 0.5, 0.0],
                [1.0, 1.0, 1.0, 1.0, 0.0],
            ],
            dtype=torch.float32,
        )
        expected_ious = torch.tensor(
            [
                [1.0, 0.5, 0.5, 0.25, 0.25, 0.25 / (2 - 0.25)],
                [1.0, 0.5, 0.5, 0.25, 0.25, 0.25 / (2 - 0.25)],
            ],
            dtype=torch.float32,
        )
        ious_cuda = pairwise_iou_rotated(boxes1.cuda(), boxes2.cuda())
        assert torch.allclose(ious_cuda.cpu(), expected_ious)

    def test_iou_45_degrees_cpu(self):
        boxes1 = torch.tensor(
            [
                [1, 1, math.sqrt(2), math.sqrt(2), 45],
                [1, 1, 2 * math.sqrt(2), 2 * math.sqrt(2), -45],
            ],
            dtype=torch.float32,
        )
        boxes2 = torch.tensor([[1, 1, 2, 2, 0]], dtype=torch.float32)
        expected_ious = torch.tensor([[0.5], [0.5]], dtype=torch.float32)
        ious = pairwise_iou_rotated(boxes1, boxes2)
        assert torch.allclose(ious, expected_ious)

    @unittest.skipIf(not torch.cuda.is_available(), "CUDA not available")
    def test_iou_45_degrees_cuda(self):
        boxes1 = torch.tensor(
            [
                [1, 1, math.sqrt(2), math.sqrt(2), 45],
                [1, 1, 2 * math.sqrt(2), 2 * math.sqrt(2), -45],
            ],
            dtype=torch.float32,
        )
        boxes2 = torch.tensor([[1, 1, 2, 2, 0]], dtype=torch.float32)
        expected_ious = torch.tensor([[0.5], [0.5]], dtype=torch.float32)
        ious_cuda = pairwise_iou_rotated(boxes1.cuda(), boxes2.cuda())
        assert torch.allclose(ious_cuda.cpu(), expected_ious)

    def test_iou_perpendicular_cpu(self):
        boxes1 = torch.tensor([[5, 5, 10.0, 6, 55]], dtype=torch.float32)
        boxes2 = torch.tensor([[5, 5, 10.0, 6, -35]], dtype=torch.float32)
        iou = (6.0 * 6.0) / (6.0 * 6.0 + 4.0 * 6.0 + 4.0 * 6.0)
        expected_ious = torch.tensor([[iou]], dtype=torch.float32)
        ious = pairwise_iou_rotated(boxes1, boxes2)
        assert torch.allclose(ious, expected_ious)

    @unittest.skipIf(not torch.cuda.is_available(), "CUDA unavailable")
    def test_iou_perpendicular_cuda(self):
        boxes1 = torch.tensor([[5, 5, 10.0, 6, 55]], dtype=torch.float32)
        boxes2 = torch.tensor([[5, 5, 10.0, 6, -35]], dtype=torch.float32)
        iou = (6.0 * 6.0) / (6.0 * 6.0 + 4.0 * 6.0 + 4.0 * 6.0)
        expected_ious = torch.tensor([[iou]], dtype=torch.float32)
        ious_cuda = pairwise_iou_rotated(boxes1.cuda(), boxes2.cuda())
        assert torch.allclose(ious_cuda.cpu(), expected_ious)

    def test_iou_large_close_boxes_cpu(self):
        boxes1 = torch.tensor(
            [[299.500000, 417.370422, 600.000000, 364.259186, 27.1828]], dtype=torch.float32
        )
        boxes2 = torch.tensor(
            [[299.500000, 417.370422, 600.000000, 364.259155, 27.1828]], dtype=torch.float32
        )
        iou = 364.259155 / 364.259186
        expected_ious = torch.tensor([[iou]], dtype=torch.float32)
        ious = pairwise_iou_rotated(boxes1, boxes2)
        assert torch.allclose(ious, expected_ious)

    @unittest.skipIf(not torch.cuda.is_available(), "CUDA not available")
    def test_iou_large_close_boxes_cuda(self):
        boxes1 = torch.tensor(
            [[299.500000, 417.370422, 600.000000, 364.259186, 27.1828]], dtype=torch.float32
        )
        boxes2 = torch.tensor(
            [[299.500000, 417.370422, 600.000000, 364.259155, 27.1828]], dtype=torch.float32
        )
        iou = 364.259155 / 364.259186
        expected_ious = torch.tensor([[iou]], dtype=torch.float32)
        ious_cuda = pairwise_iou_rotated(boxes1.cuda(), boxes2.cuda())
        assert torch.allclose(ious_cuda.cpu(), expected_ious)

    def test_iou_precision_cpu(self):
        boxes1 = torch.tensor([[565, 565, 10, 10, 0]], dtype=torch.float32)
        boxes2 = torch.tensor([[565, 565, 10, 8.3, 0]], dtype=torch.float32)
        iou = 8.3 / 10.0
        expected_ious = torch.tensor([[iou]], dtype=torch.float32)
        ious = pairwise_iou_rotated(boxes1, boxes2)
        assert torch.allclose(ious, expected_ious)

    @unittest.skipIf(not torch.cuda.is_available(), "CUDA not available")
    def test_iou_precision_cuda(self):
        boxes1 = torch.tensor([[565, 565, 10, 10, 0]], dtype=torch.float32)
        boxes2 = torch.tensor([[565, 565, 10, 8.3, 0]], dtype=torch.float32)
        iou = 8.3 / 10.0
        expected_ious = torch.tensor([[iou]], dtype=torch.float32)
        ious_cuda = pairwise_iou_rotated(boxes1.cuda(), boxes2.cuda())
        assert torch.allclose(ious_cuda.cpu(), expected_ious)

    def test_iou_many_boxes_cpu(self):
        num_boxes1 = 100
        num_boxes2 = 200
        boxes1 = torch.stack(
            [
                torch.tensor([5 + 20 * i, 5 + 20 * i, 10, 10, 0], dtype=torch.float32)
                for i in range(num_boxes1)
            ]
        )
        boxes2 = torch.stack(
            [
                torch.tensor(
                    [5 + 20 * i, 5 + 20 * i, 10, 1 + 9 * i / num_boxes2, 0], dtype=torch.float32
                )
                for i in range(num_boxes2)
            ]
        )
        expected_ious = torch.zeros(num_boxes1, num_boxes2, dtype=torch.float32)
        for i in range(min(num_boxes1, num_boxes2)):
            expected_ious[i][i] = (1 + 9 * i / num_boxes2) / 10.0
        ious = pairwise_iou_rotated(boxes1, boxes2)
        assert torch.allclose(ious, expected_ious)

    @unittest.skipIf(not torch.cuda.is_available(), "CUDA not available")
    def test_iou_many_boxes_cuda(self):
        num_boxes1 = 100
        num_boxes2 = 200
        boxes1 = torch.stack(
            [
                torch.tensor([5 + 20 * i, 5 + 20 * i, 10, 10, 0], dtype=torch.float32)
                for i in range(num_boxes1)
            ]
        )
        boxes2 = torch.stack(
            [
                torch.tensor(
                    [5 + 20 * i, 5 + 20 * i, 10, 1 + 9 * i / num_boxes2, 0], dtype=torch.float32
                )
                for i in range(num_boxes2)
            ]
        )
        expected_ious = torch.zeros(num_boxes1, num_boxes2, dtype=torch.float32)
        for i in range(min(num_boxes1, num_boxes2)):
            expected_ious[i][i] = (1 + 9 * i / num_boxes2) / 10.0
        ious_cuda = pairwise_iou_rotated(boxes1.cuda(), boxes2.cuda())
        assert torch.allclose(ious_cuda.cpu(), expected_ious)


class TestRotatedBoxesStructure(unittest.TestCase):
    def test_clip_area_0_degree(self):
        for _ in range(50):
            num_boxes = 100
            boxes_5d = torch.zeros(num_boxes, 5)
            boxes_5d[:, 0] = torch.FloatTensor(num_boxes).uniform_(-100, 500)
            boxes_5d[:, 1] = torch.FloatTensor(num_boxes).uniform_(-100, 500)
            boxes_5d[:, 2] = torch.FloatTensor(num_boxes).uniform_(0, 500)
            boxes_5d[:, 3] = torch.FloatTensor(num_boxes).uniform_(0, 500)
            # Convert from (x_ctr, y_ctr, w, h, 0) to  (x1, y1, x2, y2)
            boxes_4d = torch.zeros(num_boxes, 4)
            boxes_4d[:, 0] = boxes_5d[:, 0] - boxes_5d[:, 2] / 2.0
            boxes_4d[:, 1] = boxes_5d[:, 1] - boxes_5d[:, 3] / 2.0
            boxes_4d[:, 2] = boxes_5d[:, 0] + boxes_5d[:, 2] / 2.0
            boxes_4d[:, 3] = boxes_5d[:, 1] + boxes_5d[:, 3] / 2.0

            image_size = (500, 600)
            test_boxes_4d = Boxes(boxes_4d)
            test_boxes_5d = RotatedBoxes(boxes_5d)
            # Before clip
            areas_4d = test_boxes_4d.area()
            areas_5d = test_boxes_5d.area()
            assert torch.allclose(areas_4d, areas_5d, atol=1e-1, rtol=1e-5)
            # After clip
            test_boxes_4d.clip(image_size)
            test_boxes_5d.clip(image_size)
            areas_4d = test_boxes_4d.area()
            areas_5d = test_boxes_5d.area()
            assert torch.allclose(areas_4d, areas_5d, atol=1e-1, rtol=1e-5)

    def test_clip_area_arbitrary_angle(self):
        num_boxes = 100
        boxes_5d = torch.zeros(num_boxes, 5)
        boxes_5d[:, 0] = torch.FloatTensor(num_boxes).uniform_(-100, 500)
        boxes_5d[:, 1] = torch.FloatTensor(num_boxes).uniform_(-100, 500)
        boxes_5d[:, 2] = torch.FloatTensor(num_boxes).uniform_(0, 500)
        boxes_5d[:, 3] = torch.FloatTensor(num_boxes).uniform_(0, 500)
        boxes_5d[:, 4] = torch.FloatTensor(num_boxes).uniform_(-1800, 1800)
        clip_angle_threshold = random.uniform(0, 180)

        image_size = (500, 600)
        test_boxes_5d = RotatedBoxes(boxes_5d)
        # Before clip
        areas_before = test_boxes_5d.area()
        # After clip
        test_boxes_5d.clip(image_size, clip_angle_threshold)
        areas_diff = test_boxes_5d.area() - areas_before

        # the areas should only decrease after clipping
        assert torch.all(areas_diff <= 0)
        # whenever the box is clipped (thus the area shrinks),
        # the angle for the box must be within the clip_angle_threshold
        # Note that the clip function will normalize the angle range
        # to be within (-180, 180]
        assert torch.all(
            torch.abs(boxes_5d[:, 4][torch.where(areas_diff < 0)]) < clip_angle_threshold
        )

    def test_normalize_angles(self):
        # torch.manual_seed(0)
        for _ in range(50):
            num_boxes = 100
            boxes_5d = torch.zeros(num_boxes, 5)
            boxes_5d[:, 0] = torch.FloatTensor(num_boxes).uniform_(-100, 500)
            boxes_5d[:, 1] = torch.FloatTensor(num_boxes).uniform_(-100, 500)
            boxes_5d[:, 2] = torch.FloatTensor(num_boxes).uniform_(0, 500)
            boxes_5d[:, 3] = torch.FloatTensor(num_boxes).uniform_(0, 500)
            boxes_5d[:, 4] = torch.FloatTensor(num_boxes).uniform_(-1800, 1800)
            rotated_boxes = RotatedBoxes(boxes_5d)
            normalized_boxes = rotated_boxes.clone()
            normalized_boxes.normalize_angles()
            assert torch.all(normalized_boxes.tensor[:, 4] >= -180)
            assert torch.all(normalized_boxes.tensor[:, 4] < 180)
            # x, y, w, h should not change
            assert torch.allclose(boxes_5d[:, :4], normalized_boxes.tensor[:, :4])
            # the cos/sin values of the angles should stay the same

            assert torch.allclose(
                torch.cos(boxes_5d[:, 4] * math.pi / 180),
                torch.cos(normalized_boxes.tensor[:, 4] * math.pi / 180),
                atol=1e-5,
            )

            assert torch.allclose(
                torch.sin(boxes_5d[:, 4] * math.pi / 180),
                torch.sin(normalized_boxes.tensor[:, 4] * math.pi / 180),
                atol=1e-5,
            )

    def test_pairwise_iou_0_degree_cpu(self):
        device = torch.device("cpu")
        boxes1 = torch.tensor(
            [[0.5, 0.5, 1.0, 1.0, 0.0], [0.5, 0.5, 1.0, 1.0, 0.0]],
            dtype=torch.float32,
            device=device,
        )
        boxes2 = torch.tensor(
            [
                [0.5, 0.5, 1.0, 1.0, 0.0],
                [0.25, 0.5, 0.5, 1.0, 0.0],
                [0.5, 0.25, 1.0, 0.5, 0.0],
                [0.25, 0.25, 0.5, 0.5, 0.0],
                [0.75, 0.75, 0.5, 0.5, 0.0],
                [1.0, 1.0, 1.0, 1.0, 0.0],
            ],
            dtype=torch.float32,
            device=device,
        )
        expected_ious = torch.tensor(
            [
                [1.0, 0.5, 0.5, 0.25, 0.25, 0.25 / (2 - 0.25)],
                [1.0, 0.5, 0.5, 0.25, 0.25, 0.25 / (2 - 0.25)],
            ],
            dtype=torch.float32,
            device=device,
        )
        ious = pairwise_iou(RotatedBoxes(boxes1), RotatedBoxes(boxes2))
        assert torch.allclose(ious, expected_ious)

    @unittest.skipIf(not torch.cuda.is_available(), "CUDA not available")
    def test_pairwise_iou_0_degree_cuda(self):
        device = torch.device("cuda")
        boxes1 = torch.tensor(
            [[0.5, 0.5, 1.0, 1.0, 0.0], [0.5, 0.5, 1.0, 1.0, 0.0]],
            dtype=torch.float32,
            device=device,
        )
        boxes2 = torch.tensor(
            [
                [0.5, 0.5, 1.0, 1.0, 0.0],
                [0.25, 0.5, 0.5, 1.0, 0.0],
                [0.5, 0.25, 1.0, 0.5, 0.0],
                [0.25, 0.25, 0.5, 0.5, 0.0],
                [0.75, 0.75, 0.5, 0.5, 0.0],
                [1.0, 1.0, 1.0, 1.0, 0.0],
            ],
            dtype=torch.float32,
            device=device,
        )
        expected_ious = torch.tensor(
            [
                [1.0, 0.5, 0.5, 0.25, 0.25, 0.25 / (2 - 0.25)],
                [1.0, 0.5, 0.5, 0.25, 0.25, 0.25 / (2 - 0.25)],
            ],
            dtype=torch.float32,
            device=device,
        )
        ious = pairwise_iou(RotatedBoxes(boxes1), RotatedBoxes(boxes2))
        assert torch.allclose(ious, expected_ious)

    def test_pairwise_iou_45_degrees_cpu(self):
        device = torch.device("cpu")
        boxes1 = torch.tensor(
            [
                [1, 1, math.sqrt(2), math.sqrt(2), 45],
                [1, 1, 2 * math.sqrt(2), 2 * math.sqrt(2), -45],
            ],
            dtype=torch.float32,
            device=device,
        )
        boxes2 = torch.tensor([[1, 1, 2, 2, 0]], dtype=torch.float32, device=device)
        expected_ious = torch.tensor([[0.5], [0.5]], dtype=torch.float32, device=device)
        ious = pairwise_iou(RotatedBoxes(boxes1), RotatedBoxes(boxes2))
        assert torch.allclose(ious, expected_ious)

    @unittest.skipIf(not torch.cuda.is_available(), "CUDA not available")
    def test_pairwise_iou_45_degrees_cuda(self):
        device = torch.device("cuda")
        boxes1 = torch.tensor(
            [
                [1, 1, math.sqrt(2), math.sqrt(2), 45],
                [1, 1, 2 * math.sqrt(2), 2 * math.sqrt(2), -45],
            ],
            dtype=torch.float32,
            device=device,
        )
        boxes2 = torch.tensor([[1, 1, 2, 2, 0]], dtype=torch.float32, device=device)
        expected_ious = torch.tensor([[0.5], [0.5]], dtype=torch.float32, device=device)
        ious = pairwise_iou(RotatedBoxes(boxes1), RotatedBoxes(boxes2))
        assert torch.allclose(ious, expected_ious)

    def test_pairwise_iou_orthogonal_cpu(self):
        device = torch.device("cpu")
        boxes1 = torch.tensor([[5, 5, 10, 6, 55]], dtype=torch.float32, device=device)
        boxes2 = torch.tensor([[5, 5, 10, 6, -35]], dtype=torch.float32, device=device)
        iou = (6.0 * 6.0) / (6.0 * 6.0 + 4.0 * 6.0 + 4.0 * 6.0)
        expected_ious = torch.tensor([[iou]], dtype=torch.float32, device=device)
        ious = pairwise_iou(RotatedBoxes(boxes1), RotatedBoxes(boxes2))
        assert torch.allclose(ious, expected_ious)

    @unittest.skipIf(not torch.cuda.is_available(), "CUDA not available")
    def test_pairwise_iou_orthogonal_cuda(self):
        device = torch.device("cuda")
        boxes1 = torch.tensor([[5, 5, 10, 6, 55]], dtype=torch.float32, device=device)
        boxes2 = torch.tensor([[5, 5, 10, 6, -35]], dtype=torch.float32, device=device)
        iou = (6.0 * 6.0) / (6.0 * 6.0 + 4.0 * 6.0 + 4.0 * 6.0)
        expected_ious = torch.tensor([[iou]], dtype=torch.float32, device=device)
        ious = pairwise_iou(RotatedBoxes(boxes1), RotatedBoxes(boxes2))
        assert torch.allclose(ious, expected_ious)

    def test_pairwise_iou_large_close_boxes_cpu(self):
        device = torch.device("cpu")
        boxes1 = torch.tensor(
            [[299.500000, 417.370422, 600.000000, 364.259186, 27.1828]],
            dtype=torch.float32,
            device=device,
        )
        boxes2 = torch.tensor(
            [[299.500000, 417.370422, 600.000000, 364.259155, 27.1828]],
            dtype=torch.float32,
            device=device,
        )
        iou = 364.259155 / 364.259186
        expected_ious = torch.tensor([[iou]], dtype=torch.float32, device=device)
        ious = pairwise_iou(RotatedBoxes(boxes1), RotatedBoxes(boxes2))
        assert torch.allclose(ious, expected_ious)

    @unittest.skipIf(not torch.cuda.is_available(), "CUDA not available")
    def test_pairwise_iou_large_close_boxes_cuda(self):
        device = torch.device("cuda")
        boxes1 = torch.tensor(
            [[299.500000, 417.370422, 600.000000, 364.259186, 27.1828]],
            dtype=torch.float32,
            device=device,
        )
        boxes2 = torch.tensor(
            [[299.500000, 417.370422, 600.000000, 364.259155, 27.1828]],
            dtype=torch.float32,
            device=device,
        )
        iou = 364.259155 / 364.259186
        expected_ious = torch.tensor([[iou]], dtype=torch.float32, device=device)
        ious = pairwise_iou(RotatedBoxes(boxes1), RotatedBoxes(boxes2))
        assert torch.allclose(ious, expected_ious)

    def test_pairwise_iou_many_boxes_cpu(self):
        device = torch.device("cpu")
        num_boxes1 = 100
        num_boxes2 = 200
        boxes1 = torch.stack(
            [
                torch.tensor(
                    [5 + 20 * i, 5 + 20 * i, 10, 10, 0], dtype=torch.float32, device=device
                )
                for i in range(num_boxes1)
            ]
        )
        boxes2 = torch.stack(
            [
                torch.tensor(
                    [5 + 20 * i, 5 + 20 * i, 10, 1 + 9 * i / num_boxes2, 0],
                    dtype=torch.float32,
                    device=device,
                )
                for i in range(num_boxes2)
            ]
        )
        expected_ious = torch.zeros(num_boxes1, num_boxes2, dtype=torch.float32, device=device)
        for i in range(min(num_boxes1, num_boxes2)):
            expected_ious[i][i] = (1 + 9 * i / num_boxes2) / 10.0
        ious = pairwise_iou(RotatedBoxes(boxes1), RotatedBoxes(boxes2))
        assert torch.allclose(ious, expected_ious)

    @unittest.skipIf(not torch.cuda.is_available(), "CUDA not available")
    def test_pairwise_iou_many_boxes_cuda(self):
        device = torch.device("cuda")
        num_boxes1 = 100
        num_boxes2 = 200
        boxes1 = torch.stack(
            [
                torch.tensor(
                    [5 + 20 * i, 5 + 20 * i, 10, 10, 0], dtype=torch.float32, device=device
                )
                for i in range(num_boxes1)
            ]
        )
        boxes2 = torch.stack(
            [
                torch.tensor(
                    [5 + 20 * i, 5 + 20 * i, 10, 1 + 9 * i / num_boxes2, 0],
                    dtype=torch.float32,
                    device=device,
                )
                for i in range(num_boxes2)
            ]
        )
        expected_ious = torch.zeros(num_boxes1, num_boxes2, dtype=torch.float32, device=device)
        for i in range(min(num_boxes1, num_boxes2)):
            expected_ious[i][i] = (1 + 9 * i / num_boxes2) / 10.0
        ious = pairwise_iou(RotatedBoxes(boxes1), RotatedBoxes(boxes2))
        assert torch.allclose(ious, expected_ious)


def benchmark_rotated_iou():
    num_boxes1 = 200
    num_boxes2 = 500
    boxes1 = torch.stack(
        [
            torch.tensor([5 + 20 * i, 5 + 20 * i, 10, 10, 0], dtype=torch.float32)
            for i in range(num_boxes1)
        ]
    )
    boxes2 = torch.stack(
        [
            torch.tensor(
                [5 + 20 * i, 5 + 20 * i, 10, 1 + 9 * i / num_boxes2, 0], dtype=torch.float32
            )
            for i in range(num_boxes2)
        ]
    )

    def func(dev, n=1):
        b1 = boxes1.to(device=dev)
        b2 = boxes2.to(device=dev)

        def bench():
            for _ in range(n):
                pairwise_iou_rotated(b1, b2)
            if dev.type == "cuda":
                torch.cuda.synchronize()

        return bench

    # only run it once per timed loop, since it's slow
    args = [{"dev": torch.device("cpu"), "n": 1}]
    if torch.cuda.is_available():
        args.append({"dev": torch.device("cuda"), "n": 10})

    benchmark(func, "rotated_iou", args, warmup_iters=3)


if __name__ == "__main__":
    unittest.main()
    benchmark_rotated_iou()