/****************************************************************************
*
* Copyright (C) 2013 PX4 Development Team. All rights reserved.
* Author: Will Perone <will.perone@gmail.com>
* Anton Babushkin <anton.babushkin@me.com>
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* 3. Neither the name PX4 nor the names of its contributors may be
* used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
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* AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
*
****************************************************************************/
/**
* @file Vector2.hpp
*
* 2D Vector
*/
#ifndef VECTOR2_HPP
#define VECTOR2_HPP
#include <math.h>
namespace math
{
template <typename T>
class Vector2 {
public:
T x, y;
/**
* trivial ctor
*/
Vector2<T>() {
}
/**
* setting ctor
*/
Vector2<T>(const T x0, const T y0): x(x0), y(y0) {
}
/**
* setter
*/
void set(const T x0, const T y0) {
x = x0;
y = y0;
}
/**
* access to elements by index
*/
T operator ()(unsigned int i) {
return *(&x + i);
}
/**
* access to elements by index
*/
const T operator ()(unsigned int i) const {
return *(&x + i);
}
/**
* test for equality
*/
bool operator ==(const Vector2<T> &v) {
return (x == v.x && y == v.y);
}
/**
* test for inequality
*/
bool operator !=(const Vector2<T> &v) {
return (x != v.x || y != v.y);
}
/**
* set to value
*/
const Vector2<T> &operator =(const Vector2<T> &v) {
x = v.x;
y = v.y;
return *this;
}
/**
* negation
*/
const Vector2<T> operator -(void) const {
return Vector2<T>(-x, -y);
}
/**
* addition
*/
const Vector2<T> operator +(const Vector2<T> &v) const {
return Vector2<T>(x + v.x, y + v.y);
}
/**
* subtraction
*/
const Vector2<T> operator -(const Vector2<T> &v) const {
return Vector2<T>(x - v.x, y - v.y);
}
/**
* uniform scaling
*/
const Vector2<T> operator *(const T num) const {
Vector2<T> temp(*this);
return temp *= num;
}
/**
* uniform scaling
*/
const Vector2<T> operator /(const T num) const {
Vector2<T> temp(*this);
return temp /= num;
}
/**
* addition
*/
const Vector2<T> &operator +=(const Vector2<T> &v) {
x += v.x;
y += v.y;
return *this;
}
/**
* subtraction
*/
const Vector2<T> &operator -=(const Vector2<T> &v) {
x -= v.x;
y -= v.y;
return *this;
}
/**
* uniform scaling
*/
const Vector2<T> &operator *=(const T num) {
x *= num;
y *= num;
return *this;
}
/**
* uniform scaling
*/
const Vector2<T> &operator /=(const T num) {
x /= num;
y /= num;
return *this;
}
/**
* dot product
*/
T operator *(const Vector2<T> &v) const {
return x * v.x + y * v.y;
}
/**
* cross product
*/
const float operator %(const Vector2<T> &v) const {
return x * v.y - y * v.x;
}
/**
* gets the length of this vector squared
*/
float length_squared() const {
return (*this * *this);
}
/**
* gets the length of this vector
*/
float length() const {
return (T)sqrt(*this * *this);
}
/**
* normalizes this vector
*/
void normalize() {
*this /= length();
}
/**
* returns the normalized version of this vector
*/
Vector2<T> normalized() const {
return *this / length();
}
/**
* reflects this vector about n
*/
void reflect(const Vector2<T> &n)
{
Vector2<T> orig(*this);
project(n);
*this = *this * 2 - orig;
}
/**
* projects this vector onto v
*/
void project(const Vector2<T> &v) {
*this = v * (*this * v) / (v * v);
}
/**
* returns this vector projected onto v
*/
Vector2<T> projected(const Vector2<T> &v) {
return v * (*this * v) / (v * v);
}
/**
* computes the angle between 2 arbitrary vectors
*/
static inline float angle(const Vector2<T> &v1, const Vector2<T> &v2) {
return acosf((v1 * v2) / (v1.length() * v2.length()));
}
/**
* computes the angle between 2 arbitrary normalized vectors
*/
static inline float angle_normalized(const Vector2<T> &v1, const Vector2<T> &v2) {
return acosf(v1 * v2);
}
};
typedef Vector2<float> Vector2f;
}
#endif // VECTOR2_HPP
