expressions.h

#pragma once

#include <gtsam/nonlinear/expressions.h>
#include <gtsam/geometry/Pose2.h>
#include <gtsam/geometry/Cal3_S2.h>
#include <gtsam/geometry/Cal3Bundler.h>
#include <gtsam/geometry/PinholeCamera.h>

namespace gtsam {

// 2D Geometry

typedef Expression<Point2> Point2_;
typedef Expression<Rot2> Rot2_;
typedef Expression<Pose2> Pose2_;

inline Point2_ transform_to(const Pose2_& x, const Point2_& p) {
  return Point2_(x, &Pose2::transform_to, p);
}

// 3D Geometry

typedef Expression<Point3> Point3_;
typedef Expression<Unit3> Unit3_;
typedef Expression<Rot3> Rot3_;
typedef Expression<Pose3> Pose3_;

inline Point3_ transform_to(const Pose3_& x, const Point3_& p) {
  return Point3_(x, &Pose3::transform_to, p);
}

inline Point3_ transform_from(const Pose3_& x, const Point3_& p) {
  return Point3_(x, &Pose3::transform_from, p);
}

inline Point3_ rotate(const Rot3_& x, const Point3_& p) {
  return Point3_(x, &Rot3::rotate, p);
}

inline Point3_ unrotate(const Rot3_& x, const Point3_& p) {
  return Point3_(x, &Rot3::unrotate, p);
}

// Projection

typedef Expression<Cal3_S2> Cal3_S2_;
typedef Expression<Cal3Bundler> Cal3Bundler_;

inline Point2_ project(const Point3_& p_cam) {
  Point2 (*f)(const Point3&, OptionalJacobian<2, 3>) = &PinholeBase::Project;
  return Point2_(f, p_cam);
}

inline Point2_ project(const Unit3_& p_cam) {
  Point2 (*f)(const Unit3&, OptionalJacobian<2, 2>) = &PinholeBase::Project;
  return Point2_(f, p_cam);
}

namespace internal {
// Helper template for project2 expression below
template <class CAMERA, class POINT>
Point2 project4(const CAMERA& camera, const POINT& p, OptionalJacobian<2, CAMERA::dimension> Dcam,
                OptionalJacobian<2, FixedDimension<POINT>::value> Dpoint) {
  return camera.project2(p, Dcam, Dpoint);
}
}

template <class CAMERA, class POINT>
Point2_ project2(const Expression<CAMERA>& camera_, const Expression<POINT>& p_) {
  return Point2_(internal::project4<CAMERA, POINT>, camera_, p_);
}

namespace internal {
// Helper template for project3 expression below
template <class CALIBRATION, class POINT>
inline Point2 project6(const Pose3& x, const Point3& p, const Cal3_S2& K,
                       OptionalJacobian<2, 6> Dpose, OptionalJacobian<2, 3> Dpoint,
                       OptionalJacobian<2, 5> Dcal) {
  return PinholeCamera<Cal3_S2>(x, K).project(p, Dpose, Dpoint, Dcal);
}
}

template <class CALIBRATION, class POINT>
inline Point2_ project3(const Pose3_& x, const Expression<POINT>& p,
                        const Expression<CALIBRATION>& K) {
  return Point2_(internal::project6<CALIBRATION, POINT>, x, p, K);
}

template <class CALIBRATION>
Point2_ uncalibrate(const Expression<CALIBRATION>& K, const Point2_& xy_hat) {
  return Point2_(K, &CALIBRATION::uncalibrate, xy_hat);
}

}  // \namespace gtsam