AABB.h

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#ifndef COAL_AABB_H
#define COAL_AABB_H
 
#include "coal/data_types.h"
 
namespace coal {
 
struct CollisionRequest;
class Plane;
class Halfspace;
 
 
class COAL_DLLAPI AABB {
 public:
  Vec3s min_;
  Vec3s max_;
 
  AABB();
 
  AABB(const Vec3s& v) : min_(v), max_(v) {}
 
  AABB(const Vec3s& a, const Vec3s& b)
      : min_(a.cwiseMin(b)), max_(a.cwiseMax(b)) {}
 
  AABB(const AABB& core, const Vec3s& delta)
      : min_(core.min_ - delta), max_(core.max_ + delta) {}
 
  AABB(const Vec3s& a, const Vec3s& b, const Vec3s& c)
      : min_(a.cwiseMin(b).cwiseMin(c)), max_(a.cwiseMax(b).cwiseMax(c)) {}
 
  AABB(const AABB& other) = default;
 
  AABB& operator=(const AABB& other) = default;
 
  AABB& update(const Vec3s& a, const Vec3s& b) {
    min_ = a.cwiseMin(b);
    max_ = a.cwiseMax(b);
    return *this;
  }
 
  bool operator==(const AABB& other) const {
    return min_ == other.min_ && max_ == other.max_;
  }
 
  bool operator!=(const AABB& other) const { return !(*this == other); }
 
 
  inline bool contain(const Vec3s& p) const {
    if (p[0] < min_[0] || p[0] > max_[0]) return false;
    if (p[1] < min_[1] || p[1] > max_[1]) return false;
    if (p[2] < min_[2] || p[2] > max_[2]) return false;
 
    return true;
  }
 
  inline bool overlap(const AABB& other) const {
    if (min_[0] > other.max_[0]) return false;
    if (min_[1] > other.max_[1]) return false;
    if (min_[2] > other.max_[2]) return false;
 
    if (max_[0] < other.min_[0]) return false;
    if (max_[1] < other.min_[1]) return false;
    if (max_[2] < other.min_[2]) return false;
 
    return true;
  }
 
  bool overlap(const Plane& p) const;
 
  bool overlap(const Halfspace& hs) const;
 
  bool overlap(const AABB& other, const CollisionRequest& request,
               Scalar& sqrDistLowerBound) const;
 
  Scalar distance(const AABB& other) const;
 
  Scalar distance(const AABB& other, Vec3s* P, Vec3s* Q) const;
 
  inline AABB& operator+=(const Vec3s& p) {
    min_ = min_.cwiseMin(p);
    max_ = max_.cwiseMax(p);
    return *this;
  }
 
  inline AABB& operator+=(const AABB& other) {
    min_ = min_.cwiseMin(other.min_);
    max_ = max_.cwiseMax(other.max_);
    return *this;
  }
 
  inline AABB operator+(const AABB& other) const {
    AABB res(*this);
    return res += other;
  }
 
  inline Scalar size() const { return (max_ - min_).squaredNorm(); }
 
  inline Vec3s center() const { return (min_ + max_) * 0.5; }
 
  inline Scalar width() const { return max_[0] - min_[0]; }
 
  inline Scalar height() const { return max_[1] - min_[1]; }
 
  inline Scalar depth() const { return max_[2] - min_[2]; }
 
  inline Scalar volume() const { return width() * height() * depth(); }
 
 
  inline bool contain(const AABB& other) const {
    return (other.min_[0] >= min_[0]) && (other.max_[0] <= max_[0]) &&
           (other.min_[1] >= min_[1]) && (other.max_[1] <= max_[1]) &&
           (other.min_[2] >= min_[2]) && (other.max_[2] <= max_[2]);
  }
 
  inline bool overlap(const AABB& other, AABB& overlap_part) const {
    if (!overlap(other)) {
      return false;
    }
 
    overlap_part.min_ = min_.cwiseMax(other.min_);
    overlap_part.max_ = max_.cwiseMin(other.max_);
    return true;
  }
 
  inline bool axisOverlap(const AABB& other, int axis_id) const {
    if (min_[axis_id] > other.max_[axis_id]) return false;
    if (max_[axis_id] < other.min_[axis_id]) return false;
 
    return true;
  }
 
  inline AABB& expand(const Vec3s& delta) {
    min_ -= delta;
    max_ += delta;
    return *this;
  }
 
  inline AABB& expand(const Scalar delta) {
    min_.array() -= delta;
    max_.array() += delta;
    return *this;
  }
 
  inline AABB& expand(const AABB& core, Scalar ratio) {
    min_ = min_ * ratio - core.min_;
    max_ = max_ * ratio - core.max_;
    return *this;
  }
 
  EIGEN_MAKE_ALIGNED_OPERATOR_NEW
};
 
 
static inline AABB translate(const AABB& aabb, const Vec3s& t) {
  AABB res(aabb);
  res.min_ += t;
  res.max_ += t;
  return res;
}
 
static inline AABB rotate(const AABB& aabb, const Matrix3s& R) {
  AABB res(R * aabb.min_);
  Vec3s corner(aabb.min_);
  const Eigen::DenseIndex bit[3] = {1, 2, 4};
  for (Eigen::DenseIndex ic = 1; ic < 8;
       ++ic) {  // ic = 0 corresponds to aabb.min_. Skip it.
    for (Eigen::DenseIndex i = 0; i < 3; ++i) {
      corner[i] = (ic & bit[i]) ? aabb.max_[i] : aabb.min_[i];
    }
    res += R * corner;
  }
  return res;
}
 
COAL_DLLAPI bool overlap(const Matrix3s& R0, const Vec3s& T0, const AABB& b1,
                         const AABB& b2);
 
COAL_DLLAPI bool overlap(const Matrix3s& R0, const Vec3s& T0, const AABB& b1,
                         const AABB& b2, const CollisionRequest& request,
                         Scalar& sqrDistLowerBound);
}  // namespace coal
 
#endif