iou3d_kernel.cu

// Modified from
// https://github.com/open-mmlab/OpenPCDet/blob/master/pcdet/ops/iou3d_nms/src/iou3d_nms_kernel.cu

/*
3D IoU Calculation and Rotated NMS(modified from 2D NMS written by others)
Written by Shaoshuai Shi
All Rights Reserved 2019-2020.
*/

#include <stdio.h>
#define THREADS_PER_BLOCK 16
#define DIVUP(m, n) ((m) / (n) + ((m) % (n) > 0))

//#define DEBUG
const int THREADS_PER_BLOCK_NMS = sizeof(unsigned long long) * 8;
__device__ const float EPS = 1e-8;
struct Point {
  float x, y;
  __device__ Point() {}
  __device__ Point(double _x, double _y) { x = _x, y = _y; }

  __device__ void set(float _x, float _y) {
    x = _x;
    y = _y;
  }

  __device__ Point operator+(const Point &b) const {
    return Point(x + b.x, y + b.y);
  }

  __device__ Point operator-(const Point &b) const {
    return Point(x - b.x, y - b.y);
  }
};

__device__ inline float cross(const Point &a, const Point &b) {
  return a.x * b.y - a.y * b.x;
}

__device__ inline float cross(const Point &p1, const Point &p2,
                              const Point &p0) {
  return (p1.x - p0.x) * (p2.y - p0.y) - (p2.x - p0.x) * (p1.y - p0.y);
}

__device__ int check_rect_cross(const Point &p1, const Point &p2,
                                const Point &q1, const Point &q2) {
  int ret = min(p1.x, p2.x) <= max(q1.x, q2.x) &&
            min(q1.x, q2.x) <= max(p1.x, p2.x) &&
            min(p1.y, p2.y) <= max(q1.y, q2.y) &&
            min(q1.y, q2.y) <= max(p1.y, p2.y);
  return ret;
}

__device__ inline int check_in_box2d(const float *box, const Point &p) {
  // params: box (5) [x1, y1, x2, y2, angle]
  const float MARGIN = 1e-5;

  float center_x = (box[0] + box[2]) / 2;
  float center_y = (box[1] + box[3]) / 2;
  float angle_cos = cos(-box[4]),
        angle_sin =
            sin(-box[4]);  // rotate the point in the opposite direction of box
  float rot_x =
      (p.x - center_x) * angle_cos - (p.y - center_y) * angle_sin + center_x;
  float rot_y =
      (p.x - center_x) * angle_sin + (p.y - center_y) * angle_cos + center_y;
#ifdef DEBUG
  printf("box: (%.3f, %.3f, %.3f, %.3f, %.3f)\n", box[0], box[1], box[2],
         box[3], box[4]);
  printf(
      "center: (%.3f, %.3f), cossin(%.3f, %.3f), src(%.3f, %.3f), rot(%.3f, "
      "%.3f)\n",
      center_x, center_y, angle_cos, angle_sin, p.x, p.y, rot_x, rot_y);
#endif
  return (rot_x > box[0] - MARGIN && rot_x < box[2] + MARGIN &&
          rot_y > box[1] - MARGIN && rot_y < box[3] + MARGIN);
}

__device__ inline int intersection(const Point &p1, const Point &p0,
                                   const Point &q1, const Point &q0,
                                   Point &ans) {
  // fast exclusion
  if (check_rect_cross(p0, p1, q0, q1) == 0) return 0;

  // check cross standing
  float s1 = cross(q0, p1, p0);
  float s2 = cross(p1, q1, p0);
  float s3 = cross(p0, q1, q0);
  float s4 = cross(q1, p1, q0);

  if (!(s1 * s2 > 0 && s3 * s4 > 0)) return 0;

  // calculate intersection of two lines
  float s5 = cross(q1, p1, p0);
  if (fabs(s5 - s1) > EPS) {
    ans.x = (s5 * q0.x - s1 * q1.x) / (s5 - s1);
    ans.y = (s5 * q0.y - s1 * q1.y) / (s5 - s1);

  } else {
    float a0 = p0.y - p1.y, b0 = p1.x - p0.x, c0 = p0.x * p1.y - p1.x * p0.y;
    float a1 = q0.y - q1.y, b1 = q1.x - q0.x, c1 = q0.x * q1.y - q1.x * q0.y;
    float D = a0 * b1 - a1 * b0;

    ans.x = (b0 * c1 - b1 * c0) / D;
    ans.y = (a1 * c0 - a0 * c1) / D;
  }

  return 1;
}

__device__ inline void rotate_around_center(const Point &center,
                                            const float angle_cos,
                                            const float angle_sin, Point &p) {
  float new_x =
      (p.x - center.x) * angle_cos - (p.y - center.y) * angle_sin + center.x;
  float new_y =
      (p.x - center.x) * angle_sin + (p.y - center.y) * angle_cos + center.y;
  p.set(new_x, new_y);
}

__device__ inline int point_cmp(const Point &a, const Point &b,
                                const Point &center) {
  return atan2(a.y - center.y, a.x - center.x) >
         atan2(b.y - center.y, b.x - center.x);
}

__device__ inline float box_overlap(const float *box_a, const float *box_b) {
  // params: box_a (5) [x1, y1, x2, y2, angle]
  // params: box_b (5) [x1, y1, x2, y2, angle]

  float a_x1 = box_a[0], a_y1 = box_a[1], a_x2 = box_a[2], a_y2 = box_a[3],
        a_angle = box_a[4];
  float b_x1 = box_b[0], b_y1 = box_b[1], b_x2 = box_b[2], b_y2 = box_b[3],
        b_angle = box_b[4];

  Point center_a((a_x1 + a_x2) / 2, (a_y1 + a_y2) / 2);
  Point center_b((b_x1 + b_x2) / 2, (b_y1 + b_y2) / 2);
#ifdef DEBUG
  printf(
      "a: (%.3f, %.3f, %.3f, %.3f, %.3f), b: (%.3f, %.3f, %.3f, %.3f, %.3f)\n",
      a_x1, a_y1, a_x2, a_y2, a_angle, b_x1, b_y1, b_x2, b_y2, b_angle);
  printf("center a: (%.3f, %.3f), b: (%.3f, %.3f)\n", center_a.x, center_a.y,
         center_b.x, center_b.y);
#endif

  Point box_a_corners[5];
  box_a_corners[0].set(a_x1, a_y1);
  box_a_corners[1].set(a_x2, a_y1);
  box_a_corners[2].set(a_x2, a_y2);
  box_a_corners[3].set(a_x1, a_y2);

  Point box_b_corners[5];
  box_b_corners[0].set(b_x1, b_y1);
  box_b_corners[1].set(b_x2, b_y1);
  box_b_corners[2].set(b_x2, b_y2);
  box_b_corners[3].set(b_x1, b_y2);

  // get oriented corners
  float a_angle_cos = cos(a_angle), a_angle_sin = sin(a_angle);
  float b_angle_cos = cos(b_angle), b_angle_sin = sin(b_angle);

  for (int k = 0; k < 4; k++) {
#ifdef DEBUG
    printf("before corner %d: a(%.3f, %.3f), b(%.3f, %.3f) \n", k,
           box_a_corners[k].x, box_a_corners[k].y, box_b_corners[k].x,
           box_b_corners[k].y);
#endif
    rotate_around_center(center_a, a_angle_cos, a_angle_sin, box_a_corners[k]);
    rotate_around_center(center_b, b_angle_cos, b_angle_sin, box_b_corners[k]);
#ifdef DEBUG
    printf("corner %d: a(%.3f, %.3f), b(%.3f, %.3f) \n", k, box_a_corners[k].x,
           box_a_corners[k].y, box_b_corners[k].x, box_b_corners[k].y);
#endif
  }

  box_a_corners[4] = box_a_corners[0];
  box_b_corners[4] = box_b_corners[0];

  // get intersection of lines
  Point cross_points[16];
  Point poly_center;
  int cnt = 0, flag = 0;

  poly_center.set(0, 0);
  for (int i = 0; i < 4; i++) {
    for (int j = 0; j < 4; j++) {
      flag = intersection(box_a_corners[i + 1], box_a_corners[i],
                          box_b_corners[j + 1], box_b_corners[j],
                          cross_points[cnt]);
      if (flag) {
        poly_center = poly_center + cross_points[cnt];
        cnt++;
      }
    }
  }

  // check corners
  for (int k = 0; k < 4; k++) {
    if (check_in_box2d(box_a, box_b_corners[k])) {
      poly_center = poly_center + box_b_corners[k];
      cross_points[cnt] = box_b_corners[k];
      cnt++;
    }
    if (check_in_box2d(box_b, box_a_corners[k])) {
      poly_center = poly_center + box_a_corners[k];
      cross_points[cnt] = box_a_corners[k];
      cnt++;
    }
  }

  poly_center.x /= cnt;
  poly_center.y /= cnt;

  // sort the points of polygon
  Point temp;
  for (int j = 0; j < cnt - 1; j++) {
    for (int i = 0; i < cnt - j - 1; i++) {
      if (point_cmp(cross_points[i], cross_points[i + 1], poly_center)) {
        temp = cross_points[i];
        cross_points[i] = cross_points[i + 1];
        cross_points[i + 1] = temp;
      }
    }
  }

#ifdef DEBUG
  printf("cnt=%d\n", cnt);
  for (int i = 0; i < cnt; i++) {
    printf("All cross point %d: (%.3f, %.3f)\n", i, cross_points[i].x,
           cross_points[i].y);
  }
#endif

  // get the overlap areas
  float area = 0;
  for (int k = 0; k < cnt - 1; k++) {
    area += cross(cross_points[k] - cross_points[0],
                  cross_points[k + 1] - cross_points[0]);
  }

  return fabs(area) / 2.0;
}

__device__ inline float iou_bev(const float *box_a, const float *box_b) {
  // params: box_a (5) [x1, y1, x2, y2, angle]
  // params: box_b (5) [x1, y1, x2, y2, angle]
  float sa = (box_a[2] - box_a[0]) * (box_a[3] - box_a[1]);
  float sb = (box_b[2] - box_b[0]) * (box_b[3] - box_b[1]);
  float s_overlap = box_overlap(box_a, box_b);
  return s_overlap / fmaxf(sa + sb - s_overlap, EPS);
}

__global__ void boxes_overlap_kernel(const int num_a, const float *boxes_a,
                                     const int num_b, const float *boxes_b,
                                     float *ans_overlap) {
  const int a_idx = blockIdx.y * THREADS_PER_BLOCK + threadIdx.y;
  const int b_idx = blockIdx.x * THREADS_PER_BLOCK + threadIdx.x;

  if (a_idx >= num_a || b_idx >= num_b) {
    return;
  }
  const float *cur_box_a = boxes_a + a_idx * 5;
  const float *cur_box_b = boxes_b + b_idx * 5;
  float s_overlap = box_overlap(cur_box_a, cur_box_b);
  ans_overlap[a_idx * num_b + b_idx] = s_overlap;
}

__global__ void boxes_iou_bev_kernel(const int num_a, const float *boxes_a,
                                     const int num_b, const float *boxes_b,
                                     float *ans_iou) {
  const int a_idx = blockIdx.y * THREADS_PER_BLOCK + threadIdx.y;
  const int b_idx = blockIdx.x * THREADS_PER_BLOCK + threadIdx.x;

  if (a_idx >= num_a || b_idx >= num_b) {
    return;
  }

  const float *cur_box_a = boxes_a + a_idx * 5;
  const float *cur_box_b = boxes_b + b_idx * 5;
  float cur_iou_bev = iou_bev(cur_box_a, cur_box_b);
  ans_iou[a_idx * num_b + b_idx] = cur_iou_bev;
}

__global__ void nms_kernel(const int boxes_num, const float nms_overlap_thresh,
                           const float *boxes, unsigned long long *mask) {
  // params: boxes (N, 5) [x1, y1, x2, y2, ry]
  // params: mask (N, N/THREADS_PER_BLOCK_NMS)

  const int row_start = blockIdx.y;
  const int col_start = blockIdx.x;

  // if (row_start > col_start) return;

  const int row_size = fminf(boxes_num - row_start * THREADS_PER_BLOCK_NMS,
                             THREADS_PER_BLOCK_NMS);
  const int col_size = fminf(boxes_num - col_start * THREADS_PER_BLOCK_NMS,
                             THREADS_PER_BLOCK_NMS);

  __shared__ float block_boxes[THREADS_PER_BLOCK_NMS * 5];

  if (threadIdx.x < col_size) {
    block_boxes[threadIdx.x * 5 + 0] =
        boxes[(THREADS_PER_BLOCK_NMS * col_start + threadIdx.x) * 5 + 0];
    block_boxes[threadIdx.x * 5 + 1] =
        boxes[(THREADS_PER_BLOCK_NMS * col_start + threadIdx.x) * 5 + 1];
    block_boxes[threadIdx.x * 5 + 2] =
        boxes[(THREADS_PER_BLOCK_NMS * col_start + threadIdx.x) * 5 + 2];
    block_boxes[threadIdx.x * 5 + 3] =
        boxes[(THREADS_PER_BLOCK_NMS * col_start + threadIdx.x) * 5 + 3];
    block_boxes[threadIdx.x * 5 + 4] =
        boxes[(THREADS_PER_BLOCK_NMS * col_start + threadIdx.x) * 5 + 4];
  }
  __syncthreads();

  if (threadIdx.x < row_size) {
    const int cur_box_idx = THREADS_PER_BLOCK_NMS * row_start + threadIdx.x;
    const float *cur_box = boxes + cur_box_idx * 5;

    int i = 0;
    unsigned long long t = 0;
    int start = 0;
    if (row_start == col_start) {
      start = threadIdx.x + 1;
    }
    for (i = start; i < col_size; i++) {
      if (iou_bev(cur_box, block_boxes + i * 5) > nms_overlap_thresh) {
        t |= 1ULL << i;
      }
    }
    const int col_blocks = DIVUP(boxes_num, THREADS_PER_BLOCK_NMS);
    mask[cur_box_idx * col_blocks + col_start] = t;
  }
}

__device__ inline float iou_normal(float const *const a, float const *const b) {
  float left = fmaxf(a[0], b[0]), right = fminf(a[2], b[2]);
  float top = fmaxf(a[1], b[1]), bottom = fminf(a[3], b[3]);
  float width = fmaxf(right - left, 0.f), height = fmaxf(bottom - top, 0.f);
  float interS = width * height;
  float Sa = (a[2] - a[0]) * (a[3] - a[1]);
  float Sb = (b[2] - b[0]) * (b[3] - b[1]);
  return interS / fmaxf(Sa + Sb - interS, EPS);
}

__global__ void nms_normal_kernel(const int boxes_num,
                                  const float nms_overlap_thresh,
                                  const float *boxes,
                                  unsigned long long *mask) {
  // params: boxes (N, 5) [x1, y1, x2, y2, ry]
  // params: mask (N, N/THREADS_PER_BLOCK_NMS)

  const int row_start = blockIdx.y;
  const int col_start = blockIdx.x;

  // if (row_start > col_start) return;

  const int row_size = fminf(boxes_num - row_start * THREADS_PER_BLOCK_NMS,
                             THREADS_PER_BLOCK_NMS);
  const int col_size = fminf(boxes_num - col_start * THREADS_PER_BLOCK_NMS,
                             THREADS_PER_BLOCK_NMS);

  __shared__ float block_boxes[THREADS_PER_BLOCK_NMS * 5];

  if (threadIdx.x < col_size) {
    block_boxes[threadIdx.x * 5 + 0] =
        boxes[(THREADS_PER_BLOCK_NMS * col_start + threadIdx.x) * 5 + 0];
    block_boxes[threadIdx.x * 5 + 1] =
        boxes[(THREADS_PER_BLOCK_NMS * col_start + threadIdx.x) * 5 + 1];
    block_boxes[threadIdx.x * 5 + 2] =
        boxes[(THREADS_PER_BLOCK_NMS * col_start + threadIdx.x) * 5 + 2];
    block_boxes[threadIdx.x * 5 + 3] =
        boxes[(THREADS_PER_BLOCK_NMS * col_start + threadIdx.x) * 5 + 3];
    block_boxes[threadIdx.x * 5 + 4] =
        boxes[(THREADS_PER_BLOCK_NMS * col_start + threadIdx.x) * 5 + 4];
  }
  __syncthreads();

  if (threadIdx.x < row_size) {
    const int cur_box_idx = THREADS_PER_BLOCK_NMS * row_start + threadIdx.x;
    const float *cur_box = boxes + cur_box_idx * 5;

    int i = 0;
    unsigned long long t = 0;
    int start = 0;
    if (row_start == col_start) {
      start = threadIdx.x + 1;
    }
    for (i = start; i < col_size; i++) {
      if (iou_normal(cur_box, block_boxes + i * 5) > nms_overlap_thresh) {
        t |= 1ULL << i;
      }
    }
    const int col_blocks = DIVUP(boxes_num, THREADS_PER_BLOCK_NMS);
    mask[cur_box_idx * col_blocks + col_start] = t;
  }
}

void boxesoverlapLauncher(const int num_a, const float *boxes_a,
                          const int num_b, const float *boxes_b,
                          float *ans_overlap) {
  dim3 blocks(
      DIVUP(num_b, THREADS_PER_BLOCK),
      DIVUP(num_a, THREADS_PER_BLOCK));  // blockIdx.x(col), blockIdx.y(row)
  dim3 threads(THREADS_PER_BLOCK, THREADS_PER_BLOCK);

  boxes_overlap_kernel<<<blocks, threads>>>(num_a, boxes_a, num_b, boxes_b,
                                            ans_overlap);
#ifdef DEBUG
  cudaDeviceSynchronize();  // for using printf in kernel function
#endif
}

void boxesioubevLauncher(const int num_a, const float *boxes_a, const int num_b,
                         const float *boxes_b, float *ans_iou) {
  dim3 blocks(
      DIVUP(num_b, THREADS_PER_BLOCK),
      DIVUP(num_a, THREADS_PER_BLOCK));  // blockIdx.x(col), blockIdx.y(row)
  dim3 threads(THREADS_PER_BLOCK, THREADS_PER_BLOCK);

  boxes_iou_bev_kernel<<<blocks, threads>>>(num_a, boxes_a, num_b, boxes_b,
                                            ans_iou);
}

void nmsLauncher(const float *boxes, unsigned long long *mask, int boxes_num,
                 float nms_overlap_thresh) {
  dim3 blocks(DIVUP(boxes_num, THREADS_PER_BLOCK_NMS),
              DIVUP(boxes_num, THREADS_PER_BLOCK_NMS));
  dim3 threads(THREADS_PER_BLOCK_NMS);
  nms_kernel<<<blocks, threads>>>(boxes_num, nms_overlap_thresh, boxes, mask);
}

void nmsNormalLauncher(const float *boxes, unsigned long long *mask,
                       int boxes_num, float nms_overlap_thresh) {
  dim3 blocks(DIVUP(boxes_num, THREADS_PER_BLOCK_NMS),
              DIVUP(boxes_num, THREADS_PER_BLOCK_NMS));
  dim3 threads(THREADS_PER_BLOCK_NMS);
  nms_normal_kernel<<<blocks, threads>>>(boxes_num, nms_overlap_thresh, boxes,
                                         mask);
}