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+#ifndef VECTOR2_H
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+#define VECTOR2_H
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+
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+#include <cmath>
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+
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+#include <godot/godot_vector2.h>
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+
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+#include <String.h>
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+
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+namespace godot {
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+
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+typedef float real_t; // @Todo move to a global Godot.h
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+
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+struct Vector2 {
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+
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+ union {
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+ real_t x;
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+ real_t width;
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+ };
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+ union {
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+ real_t y;
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+ real_t height;
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+ };
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+
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+
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+ real_t& operator[](int p_idx) {
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+ return p_idx?y:x;
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+ }
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+ const real_t& operator[](int p_idx) const {
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+ return p_idx?y:x;
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+ }
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+
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+ Vector2 operator+(const Vector2& p_v) const
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+ {
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+ return Vector2(x + p_v.x, y + p_v.y);
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+ }
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+
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+ void operator+=(const Vector2& p_v)
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+ {
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+ x += p_v.x;
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+ y += p_v.y;
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+ }
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+
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+ Vector2 operator-(const Vector2& p_v) const
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+ {
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+ return Vector2(x - p_v.x, y - p_v.y);
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+ }
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+
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+ void operator-=(const Vector2& p_v)
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+ {
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+ x -= p_v.x;
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+ y -= p_v.y;
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+ }
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+
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+ Vector2 operator*(const Vector2 &p_v1) const
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+ {
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+ return Vector2(x * p_v1.x, y * p_v1.y);
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+ }
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+
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+ Vector2 operator*(const real_t &rvalue) const
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+ {
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+ return Vector2(x * rvalue, y * rvalue);
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+ }
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+
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+ void operator*=(const real_t &rvalue)
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+ {
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+ x *= rvalue;
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+ y *= rvalue;
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+ }
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+
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+ void operator*=(const Vector2 &rvalue) { *this = *this * rvalue; }
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+
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+ Vector2 operator/(const Vector2 &p_v1) const
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+ {
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+ return Vector2(x / p_v1.x, y / p_v1.y);
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+ }
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+
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+ Vector2 operator/(const real_t &rvalue) const
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+ {
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+ return Vector2(x / rvalue, y / rvalue);
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+ }
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+
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+ void operator/=(const real_t &rvalue)
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+ {
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+ x /= rvalue;
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+ y /= rvalue;
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+ }
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+
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+ Vector2 operator-() const
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+ {
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+ return Vector2(-x, -y);
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+ }
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+
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+ bool operator==(const Vector2& p_vec2) const
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+ {
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+ return x == p_vec2.x && y == p_vec2.y;
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+ }
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+
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+ bool operator!=(const Vector2& p_vec2) const
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+ {
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+ return x != p_vec2.x || y != p_vec2.y;
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+ }
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+
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+ bool operator<(const Vector2& p_vec2) const { return (x==p_vec2.x)?(y<p_vec2.y):(x<p_vec2.x); }
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+ bool operator<=(const Vector2& p_vec2) const { return (x==p_vec2.x)?(y<=p_vec2.y):(x<=p_vec2.x); }
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+
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+
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+ void normalize()
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+ {
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+ real_t l = x*x + y*y;
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+ if (l != 0) {
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+ l = (l);
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+ x /= l;
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+ y /= l;
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+ }
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+ }
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+
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+ Vector2 normalized() const
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+ {
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+ Vector2 v = *this;
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+ v.normalize();
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+ return v;
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+ }
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+
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+ real_t length() const
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+ {
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+ return sqrt(x*x + y*y);
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+ }
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+ real_t length_squared() const
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+ {
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+ return x*x + y*y;
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+ }
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+
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+ real_t distance_to(const Vector2& p_vector2) const
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+ {
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+ return sqrt((x - p_vector2.x) * (x - p_vector2.x) + (y - p_vector2.y) * (y - p_vector2.y));
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+ }
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+
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+ real_t distance_squared_to(const Vector2& p_vector2) const
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+ {
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+ return (x - p_vector2.x) * (x - p_vector2.x) + (y - p_vector2.y) * (y - p_vector2.y);
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+ }
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+
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+ real_t angle_to(const Vector2& p_vector2) const
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+ {
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+ return atan2(cross(p_vector2), dot(p_vector2));
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+ }
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+
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+ real_t angle_to_point(const Vector2& p_vector2) const
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+ {
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+ return atan2(y - p_vector2.y, x-p_vector2.x);
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+ }
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+
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+ real_t dot(const Vector2& p_other) const
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+ {
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+ return x * p_other.x + y * p_other.y;
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+ }
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+
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+ real_t cross(const Vector2& p_other) const
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+ {
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+ return x * p_other.y - y * p_other.x;
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+ }
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+
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+ Vector2 cross(real_t p_other) const
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+ {
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+ return Vector2(p_other * y, -p_other * x);
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+ }
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+
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+ Vector2 project(const Vector2& p_vec) const
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+ {
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+ Vector2 v1 = p_vec;
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+ Vector2 v2 = *this;
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+ return v2 * (v1.dot(v2) / v2.dot(v2));
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+ }
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+
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+ Vector2 plane_project(real_t p_d, const Vector2& p_vec) const
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+ {
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+ return p_vec - *this * ( dot(p_vec) -p_d);
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+ }
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+
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+ Vector2 clamped(real_t p_len) const
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+ {
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+ real_t l = length();
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+ Vector2 v = *this;
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+ if (l > 0 && p_len < l) {
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+ v /= l;
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+ v *= p_len;
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+ }
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+ return v;
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+ }
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+
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+ static Vector2 linear_interpolate(const Vector2& p_a, const Vector2& p_b,real_t p_t)
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+ {
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+ Vector2 res=p_a;
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+ res.x+= (p_t * (p_b.x-p_a.x));
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+ res.y+= (p_t * (p_b.y-p_a.y));
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+ return res;
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+ }
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+
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+ Vector2 linear_interpolate(const Vector2& p_b,real_t p_t) const
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+ {
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+ Vector2 res=*this;
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+ res.x+= (p_t * (p_b.x-x));
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+ res.y+= (p_t * (p_b.y-y));
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+ return res;
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+
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+ }
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+ Vector2 cubic_interpolate(const Vector2& p_b,const Vector2& p_pre_a, const Vector2& p_post_b,real_t p_t) const
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+ {
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+ Vector2 p0=p_pre_a;
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+ Vector2 p1=*this;
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+ Vector2 p2=p_b;
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+ Vector2 p3=p_post_b;
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+
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+ real_t t = p_t;
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+ real_t t2 = t * t;
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+ real_t t3 = t2 * t;
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+
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+ Vector2 out;
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+ out = ( ( p1 * 2.0) +
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+ ( -p0 + p2 ) * t +
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+ ( p0 * 2.0 - p1 * 5.0 + p2 * 4 - p3 ) * t2 +
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+ ( -p0 + p1 * 3.0 - p2 * 3.0 + p3 ) * t3 ) * 0.5;
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+
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+ return out;
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+ }
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+
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+ // Vector2 cubic_interpolate_soft(const Vector2& p_b,const Vector2& p_pre_a, const Vector2& p_post_b,real_t p_t) const;
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+
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+ Vector2 slide(const Vector2& p_vec) const
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+ {
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+ return p_vec - *this * this->dot(p_vec);
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+ }
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+
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+ Vector2 reflect(const Vector2& p_vec) const
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+ {
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+ return p_vec - *this * this->dot(p_vec) * 2.0;
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+ }
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+
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+ real_t angle() const
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+ {
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+ return atan2(y, x);
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+ }
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+
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+ void set_rotation(real_t p_radians) {
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+
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+ x = cosf(p_radians);
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+ y = sinf(p_radians);
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+ }
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+
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+ Vector2 abs() const {
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+
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+ return Vector2( fabs(x), fabs(y) );
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+ }
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+
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+ Vector2 rotated(real_t p_by) const
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+ {
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+ Vector2 v;
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+ v.set_rotation(angle() + p_by);
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+ v *= length();
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+ return v;
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+ }
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+
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+ Vector2 tangent() const {
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+
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+ return Vector2(y,-x);
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+ }
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+
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+ Vector2 floor() const
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+ {
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+ return Vector2(::floor(x), ::floor(y));
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+ }
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+
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+ Vector2 snapped(const Vector2& p_by) const
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+ {
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+ return Vector2(
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+ p_by.x != 0 ? ::floor(x / p_by.x + 0.5) * p_by.x : x,
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+ p_by.y != 0 ? ::floor(y / p_by.y + 0.5) * p_by.y : y
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+ );
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+ }
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+ real_t aspect() const { return width/height; }
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+
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+
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+ operator String() const { return String(); /* @Todo String::num() */ }
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+
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+ Vector2(real_t p_x,real_t p_y) { x=p_x; y=p_y; }
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+ Vector2() { x=0; y=0; }
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+};
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+
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+
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+Vector2 operator*(real_t p_scalar, const Vector2& p_vec)
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+{
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+ return p_vec*p_scalar;
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+}
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+
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+
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+
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+}
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+
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+#endif // VECTOR2_H
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