Re-introduce build-in type code for core types

include/godot_cpp/variant/quaternion.hpp

@@ -0,0 +1,212 @@
+#ifndef GODOT_QUAT_HPP
+#define GODOT_QUAT_HPP
+
+#include <godot_cpp/core/math.hpp>
+#include <godot_cpp/variant/vector3.hpp>
+
+namespace godot {
+
+class Quaternion {
+public:
+	_FORCE_INLINE_ GDNativeTypePtr ptr() const { return (void *)this; }
+
+	union {
+		struct {
+			real_t x;
+			real_t y;
+			real_t z;
+			real_t w;
+		};
+		real_t components[4] = { 0, 0, 0, 1.0 };
+	};
+
+	inline real_t &operator[](int idx) {
+		return components[idx];
+	}
+	inline const real_t &operator[](int idx) const {
+		return components[idx];
+	}
+	inline real_t length_squared() const;
+	bool is_equal_approx(const Quaternion &p_quat) const;
+	real_t length() const;
+	void normalize();
+	Quaternion normalized() const;
+	bool is_normalized() const;
+	Quaternion inverse() const;
+	inline real_t dot(const Quaternion &p_q) const;
+
+	Vector3 get_euler_xyz() const;
+	Vector3 get_euler_yxz() const;
+	Vector3 get_euler() const { return get_euler_yxz(); };
+
+	Quaternion slerp(const Quaternion &p_to, const real_t &p_weight) const;
+	Quaternion slerpni(const Quaternion &p_to, const real_t &p_weight) const;
+	Quaternion cubic_slerp(const Quaternion &p_b, const Quaternion &p_pre_a, const Quaternion &p_post_b, const real_t &p_weight) const;
+
+	inline void get_axis_angle(Vector3 &r_axis, real_t &r_angle) const {
+		r_angle = 2 * Math::acos(w);
+		real_t r = ((real_t)1) / Math::sqrt(1 - w * w);
+		r_axis.x = x * r;
+		r_axis.y = y * r;
+		r_axis.z = z * r;
+	}
+
+	void operator*=(const Quaternion &p_q);
+	Quaternion operator*(const Quaternion &p_q) const;
+
+	Quaternion operator*(const Vector3 &v) const {
+		return Quaternion(w * v.x + y * v.z - z * v.y,
+				w * v.y + z * v.x - x * v.z,
+				w * v.z + x * v.y - y * v.x,
+				-x * v.x - y * v.y - z * v.z);
+	}
+
+	inline Vector3 xform(const Vector3 &v) const {
+#ifdef MATH_CHECKS
+		ERR_FAIL_COND_V(!is_normalized(), v);
+#endif
+		Vector3 u(x, y, z);
+		Vector3 uv = u.cross(v);
+		return v + ((uv * w) + u.cross(uv)) * ((real_t)2);
+	}
+
+	inline Vector3 xform_inv(const Vector3 &v) const {
+		return inverse().xform(v);
+	}
+
+	inline void operator+=(const Quaternion &p_q);
+	inline void operator-=(const Quaternion &p_q);
+	inline void operator*=(const real_t &s);
+	inline void operator/=(const real_t &s);
+	inline Quaternion operator+(const Quaternion &q2) const;
+	inline Quaternion operator-(const Quaternion &q2) const;
+	inline Quaternion operator-() const;
+	inline Quaternion operator*(const real_t &s) const;
+	inline Quaternion operator/(const real_t &s) const;
+
+	inline bool operator==(const Quaternion &p_quat) const;
+	inline bool operator!=(const Quaternion &p_quat) const;
+
+	operator String() const;
+
+	inline Quaternion() {}
+
+	inline Quaternion(real_t p_x, real_t p_y, real_t p_z, real_t p_w) :
+			x(p_x),
+			y(p_y),
+			z(p_z),
+			w(p_w) {
+	}
+
+	Quaternion(const Vector3 &p_axis, real_t p_angle);
+
+	Quaternion(const Vector3 &p_euler);
+
+	Quaternion(const Quaternion &p_q) :
+			x(p_q.x),
+			y(p_q.y),
+			z(p_q.z),
+			w(p_q.w) {
+	}
+
+	Quaternion &operator=(const Quaternion &p_q) {
+		x = p_q.x;
+		y = p_q.y;
+		z = p_q.z;
+		w = p_q.w;
+		return *this;
+	}
+
+	Quaternion(const Vector3 &v0, const Vector3 &v1) // shortest arc
+	{
+		Vector3 c = v0.cross(v1);
+		real_t d = v0.dot(v1);
+
+		if (d < -1.0 + CMP_EPSILON) {
+			x = 0;
+			y = 1;
+			z = 0;
+			w = 0;
+		} else {
+			real_t s = Math::sqrt((1.0 + d) * 2.0);
+			real_t rs = 1.0 / s;
+
+			x = c.x * rs;
+			y = c.y * rs;
+			z = c.z * rs;
+			w = s * 0.5;
+		}
+	}
+};
+
+real_t Quaternion::dot(const Quaternion &p_q) const {
+	return x * p_q.x + y * p_q.y + z * p_q.z + w * p_q.w;
+}
+
+real_t Quaternion::length_squared() const {
+	return dot(*this);
+}
+
+void Quaternion::operator+=(const Quaternion &p_q) {
+	x += p_q.x;
+	y += p_q.y;
+	z += p_q.z;
+	w += p_q.w;
+}
+
+void Quaternion::operator-=(const Quaternion &p_q) {
+	x -= p_q.x;
+	y -= p_q.y;
+	z -= p_q.z;
+	w -= p_q.w;
+}
+
+void Quaternion::operator*=(const real_t &s) {
+	x *= s;
+	y *= s;
+	z *= s;
+	w *= s;
+}
+
+void Quaternion::operator/=(const real_t &s) {
+	*this *= 1.0 / s;
+}
+
+Quaternion Quaternion::operator+(const Quaternion &q2) const {
+	const Quaternion &q1 = *this;
+	return Quaternion(q1.x + q2.x, q1.y + q2.y, q1.z + q2.z, q1.w + q2.w);
+}
+
+Quaternion Quaternion::operator-(const Quaternion &q2) const {
+	const Quaternion &q1 = *this;
+	return Quaternion(q1.x - q2.x, q1.y - q2.y, q1.z - q2.z, q1.w - q2.w);
+}
+
+Quaternion Quaternion::operator-() const {
+	const Quaternion &q2 = *this;
+	return Quaternion(-q2.x, -q2.y, -q2.z, -q2.w);
+}
+
+Quaternion Quaternion::operator*(const real_t &s) const {
+	return Quaternion(x * s, y * s, z * s, w * s);
+}
+
+Quaternion Quaternion::operator/(const real_t &s) const {
+	return *this * (1.0 / s);
+}
+
+bool Quaternion::operator==(const Quaternion &p_quat) const {
+	return x == p_quat.x && y == p_quat.y && z == p_quat.z && w == p_quat.w;
+}
+
+bool Quaternion::operator!=(const Quaternion &p_quat) const {
+	return x != p_quat.x || y != p_quat.y || z != p_quat.z || w != p_quat.w;
+}
+
+inline Quaternion operator*(const real_t &p_real, const Quaternion &p_quat) {
+	return p_quat * p_real;
+}
+
+} // namespace godot
+
+#endif // GODOT_QUAT_HPP