godot/core/math/vector2.cpp

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/*  vector2.cpp                                                          */
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#include "vector2.h"

real_t Vector2::angle() const {
	return Math::atan2(y, x);
}

Vector2 Vector2::from_angle(const real_t p_angle) {
	return Vector2(Math::cos(p_angle), Math::sin(p_angle));
}

real_t Vector2::length() const {
	return Math::sqrt(x * x + y * y);
}

real_t Vector2::length_squared() const {
	return x * x + y * y;
}

void Vector2::normalize() {
	real_t l = x * x + y * y;
	if (l != 0) {
		l = Math::sqrt(l);
		x /= l;
		y /= l;
	}
}

Vector2 Vector2::normalized() const {
	Vector2 v = *this;
	v.normalize();
	return v;
}

bool Vector2::is_normalized() const {
	// use length_squared() instead of length() to avoid sqrt(), makes it more stringent.
	return Math::is_equal_approx(length_squared(), 1, (real_t)UNIT_EPSILON);
}

real_t Vector2::distance_to(const Vector2 &p_vector2) const {
	return Math::sqrt((x - p_vector2.x) * (x - p_vector2.x) + (y - p_vector2.y) * (y - p_vector2.y));
}

real_t Vector2::distance_squared_to(const Vector2 &p_vector2) const {
	return (x - p_vector2.x) * (x - p_vector2.x) + (y - p_vector2.y) * (y - p_vector2.y);
}

real_t Vector2::angle_to(const Vector2 &p_vector2) const {
	return Math::atan2(cross(p_vector2), dot(p_vector2));
}

real_t Vector2::angle_to_point(const Vector2 &p_vector2) const {
	return (p_vector2 - *this).angle();
}

real_t Vector2::dot(const Vector2 &p_other) const {
	return x * p_other.x + y * p_other.y;
}

real_t Vector2::cross(const Vector2 &p_other) const {
	return x * p_other.y - y * p_other.x;
}

Vector2 Vector2::sign() const {
	return Vector2(SIGN(x), SIGN(y));
}

Vector2 Vector2::floor() const {
	return Vector2(Math::floor(x), Math::floor(y));
}

Vector2 Vector2::ceil() const {
	return Vector2(Math::ceil(x), Math::ceil(y));
}

Vector2 Vector2::round() const {
	return Vector2(Math::round(x), Math::round(y));
}

Vector2 Vector2::rotated(const real_t p_by) const {
	real_t sine = Math::sin(p_by);
	real_t cosi = Math::cos(p_by);
	return Vector2(
			x * cosi - y * sine,
			x * sine + y * cosi);
}

Vector2 Vector2::posmod(const real_t p_mod) const {
	return Vector2(Math::fposmod(x, p_mod), Math::fposmod(y, p_mod));
}

Vector2 Vector2::posmodv(const Vector2 &p_modv) const {
	return Vector2(Math::fposmod(x, p_modv.x), Math::fposmod(y, p_modv.y));
}

Vector2 Vector2::project(const Vector2 &p_to) const {
	return p_to * (dot(p_to) / p_to.length_squared());
}

Vector2 Vector2::clamp(const Vector2 &p_min, const Vector2 &p_max) const {
	return Vector2(
			CLAMP(x, p_min.x, p_max.x),
			CLAMP(y, p_min.y, p_max.y));
}

Vector2 Vector2::snapped(const Vector2 &p_step) const {
	return Vector2(
			Math::snapped(x, p_step.x),
			Math::snapped(y, p_step.y));
}

Vector2 Vector2::limit_length(const real_t p_len) const {
	const real_t l = length();
	Vector2 v = *this;
	if (l > 0 && p_len < l) {
		v /= l;
		v *= p_len;
	}

	return v;
}

Vector2 Vector2::cubic_interpolate(const Vector2 &p_b, const Vector2 &p_pre_a, const Vector2 &p_post_b, const real_t p_weight) const {
	Vector2 p0 = p_pre_a;
	Vector2 p1 = *this;
	Vector2 p2 = p_b;
	Vector2 p3 = p_post_b;

	real_t t = p_weight;
	real_t t2 = t * t;
	real_t t3 = t2 * t;

	Vector2 out;
	out = 0.5 *
			((p1 * 2.0) +
					(-p0 + p2) * t +
					(2.0 * p0 - 5.0 * p1 + 4 * p2 - p3) * t2 +
					(-p0 + 3.0 * p1 - 3.0 * p2 + p3) * t3);
	return out;
}

Vector2 Vector2::move_toward(const Vector2 &p_to, const real_t p_delta) const {
	Vector2 v = *this;
	Vector2 vd = p_to - v;
	real_t len = vd.length();
	return len <= p_delta || len < CMP_EPSILON ? p_to : v + vd / len * p_delta;
}

// slide returns the component of the vector along the given plane, specified by its normal vector.
Vector2 Vector2::slide(const Vector2 &p_normal) const {
#ifdef MATH_CHECKS
	ERR_FAIL_COND_V_MSG(!p_normal.is_normalized(), Vector2(), "The normal Vector2 must be normalized.");
#endif
	return *this - p_normal * this->dot(p_normal);
}

Vector2 Vector2::bounce(const Vector2 &p_normal) const {
	return -reflect(p_normal);
}

Vector2 Vector2::reflect(const Vector2 &p_normal) const {
#ifdef MATH_CHECKS
	ERR_FAIL_COND_V_MSG(!p_normal.is_normalized(), Vector2(), "The normal Vector2 must be normalized.");
#endif
	return 2.0 * p_normal * this->dot(p_normal) - *this;
}

bool Vector2::is_equal_approx(const Vector2 &p_v) const {
	return Math::is_equal_approx(x, p_v.x) && Math::is_equal_approx(y, p_v.y);
}

Vector2::operator String() const {
	return "(" + String::num_real(x, false) + ", " + String::num_real(y, false) + ")";
}

/* Vector2i */

Vector2i Vector2i::clamp(const Vector2i &p_min, const Vector2i &p_max) const {
	return Vector2i(
			CLAMP(x, p_min.x, p_max.x),
			CLAMP(y, p_min.y, p_max.y));
}

Vector2i Vector2i::operator+(const Vector2i &p_v) const {
	return Vector2i(x + p_v.x, y + p_v.y);
}

void Vector2i::operator+=(const Vector2i &p_v) {
	x += p_v.x;
	y += p_v.y;
}

Vector2i Vector2i::operator-(const Vector2i &p_v) const {
	return Vector2i(x - p_v.x, y - p_v.y);
}

void Vector2i::operator-=(const Vector2i &p_v) {
	x -= p_v.x;
	y -= p_v.y;
}

Vector2i Vector2i::operator*(const Vector2i &p_v1) const {
	return Vector2i(x * p_v1.x, y * p_v1.y);
}

Vector2i Vector2i::operator*(const int32_t &rvalue) const {
	return Vector2i(x * rvalue, y * rvalue);
}

void Vector2i::operator*=(const int32_t &rvalue) {
	x *= rvalue;
	y *= rvalue;
}

Vector2i Vector2i::operator/(const Vector2i &p_v1) const {
	return Vector2i(x / p_v1.x, y / p_v1.y);
}

Vector2i Vector2i::operator/(const int32_t &rvalue) const {
	return Vector2i(x / rvalue, y / rvalue);
}

void Vector2i::operator/=(const int32_t &rvalue) {
	x /= rvalue;
	y /= rvalue;
}

Vector2i Vector2i::operator%(const Vector2i &p_v1) const {
	return Vector2i(x % p_v1.x, y % p_v1.y);
}

Vector2i Vector2i::operator%(const int32_t &rvalue) const {
	return Vector2i(x % rvalue, y % rvalue);
}

void Vector2i::operator%=(const int32_t &rvalue) {
	x %= rvalue;
	y %= rvalue;
}

Vector2i Vector2i::operator-() const {
	return Vector2i(-x, -y);
}

bool Vector2i::operator==(const Vector2i &p_vec2) const {
	return x == p_vec2.x && y == p_vec2.y;
}

bool Vector2i::operator!=(const Vector2i &p_vec2) const {
	return x != p_vec2.x || y != p_vec2.y;
}

Vector2i::operator String() const {
	return "(" + itos(x) + ", " + itos(y) + ")";
}