Intersection.h

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#ifndef INTERSECTION_H_
#define INTERSECTION_H_

#include "math/Vector3.h"
#include "math/line.h"

void point_for_device_point (Vector3& point, const Matrix4& device2object, const float x, const float y, const float z);
void ray_for_device_point (Ray& ray, const Matrix4& device2object, const float x, const float y);

bool sphere_intersect_ray (const Vector3& origin, float radius, const Ray& ray, Vector3& intersection);
void ray_intersect_ray (const Ray& ray, const Ray& other, Vector3& intersection);

void point_on_sphere (Vector3& point, const Matrix4& device2object, const float x, const float y);
void point_on_axis (Vector3& point, const Vector3& axis, const Matrix4& device2object, const float x, const float y);
void point_on_plane (Vector3& point, const Matrix4& device2object, const float x, const float y);

inline float angle_between (const Vector3& a, const Vector3& b)
{
    return static_cast<float> (2.0 * atan2((a - b).getLength(), (a + b).getLength()));
}

inline void constrain_to_axis (Vector3& vec, const Vector3& axis)
{
    vec = (vec + axis * (-vec.dot(axis))).getNormalised();
}

float angle_for_axis (const Vector3& a, const Vector3& b, const Vector3& axis);

float distance_for_axis (const Vector3& a, const Vector3& b, const Vector3& axis);

#endif /*INTERSECTION_H_*/