NVector.gml

function NVec2(_x, _y) {
    x = _x;
    y = _y;
    
    Add = function(_val) {
        return new NVec2(x + _val.x, y + _val.y);
    }
    
    Sub = function(_val) {
        return new NVec2(x - _val.x, y - _val.y);
    }
    
    Mul = function(_val) {
        if (is_real(_val)) {
            return new NVec2(x * _val.x, y * _val.y);
        } else {
            return new NVec2(x * _val, y * _val);
        }
    }
    
    Equals = function(_val) {
        return (x == _val.x && y == _val.y);
    }
    
    Dot = function(_val) {
        return dot_product(x, y, _val.x, _val.y);
    }
    
    Magnitude = function() {
        return sqrt(Dot(self));
    }
    
    Magnitude2 = function() {
        return Dot(self);
    }
    
    Distance = function() {
        return point_distance(0, 0, x, y);
    }
    
    Normalize = function() {
        var n = Mul(1 / Magnitude(self));
        x = n.x;
        y = n.y;
    }
    
    Normalized = function() {
        return Mul(1 / Magnitude(self));
    }
    
    Angle = function(_val) {
        return point_direction(x, y, _val.x, _val.y);
    }
    
    Project = function(_dir) {
        return _dir.Mul(Dot(_dir) / _dir.Magnitude2());
    }
    
    Perpendicular = function(_dir) {
        return Sub(Project(_dir));
    }
    
    Reflection = function(_normal) {
        return Sub(_normal.Mul(Dot(_normal).Mul(2)));
    }
}

function NVec3(_x, _y, _z) {
    x = _x;
    y = _y;
    z = _z;
    
    Add = function(_val) {
        return new NVec3(x + _val.x, y + _val.y, z + _val.z);
    }
    
    Sub = function(_val) {
        return new NVec3(x - _val.x, y - _val.y, z - _val.z);
    }
    
    Mul = function(_val) {
        if (is_real(_val)) {
            return new NVec3(x * _val.x, y * _val.y, z * _val.z);
        } else {
            return new NVec3(x * _val, y * _val, z * _val);
        }
    }
    
    
    Equals = function(_val) {
        return (x == _val.x && y == _val.y && z == _val.z);
    }
    
    Dot = function(_val) {
        return dot_product_3d(x, y, z, _val.x, _val.y, _val.z);
    }
    
    Magnitude = function() {
        return sqrt(Dot(self));
    }
    
    Magnitude2 = function() {
        return Dot(self);
    }
    
    Distance = function() {
        return point_distance_3d(0, 0, 0, x, y, z);
    }
    
    Normalize = function() {
        var n = Mul(1 / Magnitude(self));
        x = n.x;
        y = n.y;
        z = n.z;
    }
    
    Normalized = function() {
        return Mul(1 / Magnitude(self));
    }
    
    Cross = function(_val) {
        return new NVec3(y * _val.z - z * _val.y, z * _val.x - x * _val.z, x * _val.y - y * _val.x);
    }
    
    Angle = function(_val) {
        return arccos(Dot(_val) / sqrt(Magnitude2() * _val.Magnitude2()));
    }
    
    Project = function(_dir) {
        return _dir.Mul(Dot(_dir) / _dir.Magnitude2());
    }
    
    Perpendicular = function(_dir) {
        return Sub(Project(_dir));
    }
    
    Reflection = function(_normal) {
        return Sub(_normal.Mul(Dot(_normal).Mul(2)));
    }
}