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#ifndef BLACKSHADES_QUATERNIONS_H
#define BLACKSHADES_QUATERNIONS_H

struct XYZ {
	float x, y, z;
};

#ifdef __cplusplus
constexpr bool operator==(const XYZ& u, const XYZ& v)
{
	return u.x == v.x && u.y == v.y && u.z == v.z;
}
constexpr XYZ operator+(XYZ u, const XYZ& v)
{
	return {u.x + v.x, u.y + v.y, u.z + v.z};
}
constexpr XYZ operator-(XYZ u, const XYZ& v)
{
	return {u.x - v.x, u.y - v.y, u.z - v.z};
}
constexpr XYZ operator*(XYZ u, const XYZ& v)
{
	return {u.x * v.x, u.y * v.y, u.z * v.z};
}
constexpr XYZ operator*(XYZ u, float k)
{
	return {u.x * k, u.y * k, u.z * k};
}
constexpr XYZ operator/(XYZ u, float k)
{
	return {u.x / k, u.y / k, u.z / k};
}

constexpr XYZ& operator+=(XYZ& u, const XYZ& v) { return u = u + v; }
constexpr XYZ& operator-=(XYZ& u, const XYZ& v) { return u = u - v; }
constexpr XYZ& operator*=(XYZ& u, const XYZ& v) { return u = u * v; }
constexpr XYZ& operator*=(XYZ& u, float k) { return u = u * k; }
constexpr XYZ& operator/=(XYZ& u, float k) { return u = u / k; }
#endif // __cplusplus

#ifdef __cplusplus
extern "C" {
#endif // __cplusplus
	float sqrlen(struct XYZ);
	float len(struct XYZ);
	struct XYZ crossProduct(struct XYZ, struct XYZ);
	struct XYZ normalize(struct XYZ);
	void reflect(struct XYZ*, struct XYZ);
	bool segCrossSphere(struct XYZ, struct XYZ, struct XYZ, float);
	bool segCrossTrigon(struct XYZ p1, struct XYZ p2,
		struct XYZ *pa, struct XYZ *pb, struct XYZ *pc,
		struct XYZ *n, struct XYZ *p);
	struct XYZ rotate(struct XYZ, float, float, float);

	void setFrustum(float (*)[4], float*, float*);
	int cubeInFrustum(float (*)[4], float, float, float, float);
	int sphereInFrustum(float (*)[4], float, float, float, float);
#ifdef __cplusplus
} // extern "C"
#endif // __cplusplus

#endif // BLACKSHADES_QUATERNIONS_H