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#include "Vector2D.h"
#include "../math/utility.h"
#include "../math/Matrix.h"
#include <cmath>
namespace meow{
template<class Scalar>
inline
Vector2D<Scalar>::Vector2D():
_x(0),
_y(0){
}
template<class Scalar>
inline
Vector2D<Scalar>::Vector2D(Vector2D const& __v):
_x(__v._x),
_y(__v._y){
}
template<class Scalar>
inline
Vector2D<Scalar>::Vector2D(Scalar const& __x, Scalar const& __y):
_x(__x),
_y(__y){
}
template<class Scalar>
inline
Vector2D<Scalar>::~Vector2D(){
}
template<class Scalar>
inline Vector2D<Scalar>&
Vector2D<Scalar>::copy(Vector2D const& __v){
_x = __v.x();
_y = __v.y();
return *this;
}
template<class Scalar>
inline Scalar const&
Vector2D<Scalar>::x() const{
return _x;
}
template<class Scalar>
inline Scalar const&
Vector2D<Scalar>::y() const{
return _y;
}
template<class Scalar>
inline Scalar const&
Vector2D<Scalar>::x(Scalar const& __s){
_x = __s;
return x();
}
template<class Scalar>
inline Scalar const&
Vector2D<Scalar>::y(Scalar const& __s){
_y = __s;
return y();
}
template<class Scalar>
inline Vector2D<Scalar>&
Vector2D<Scalar>::xy(Scalar const& __x, Scalar const& __y){
_x = __x;
_y = __y;
return *this;
}
template<class Scalar>
inline Vector2D<Scalar>
Vector2D<Scalar>::positive() const{
return *this;
}
template<class Scalar>
inline Vector2D<Scalar>
Vector2D<Scalar>::negative() const{
return Vector2D<Scalar>(-x(), -y());
}
template<class Scalar>
inline Vector2D<Scalar>
Vector2D<Scalar>::right() const{
return Vector2D<Scalar>(-y(), x());
}
template<class Scalar>
inline Vector2D<Scalar>
Vector2D<Scalar>::add(Vector2D const& __v) const{
return Vector2D<Scalar>(x() + __v.x(), y() + __v.y());
}
template<class Scalar>
inline Vector2D<Scalar>
Vector2D<Scalar>::sub(Vector2D const& __v) const{
return Vector2D<Scalar>(x() - __v.x(), y() - __v.y());
}
template<class Scalar>
inline Vector2D<Scalar>
Vector2D<Scalar>::mul(Scalar const& __s) const{
return Vector2D<Scalar>(x() * __s, y() * __s);
}
template<class Scalar>
inline Vector2D<Scalar>
Vector2D<Scalar>::div(Scalar const& __s) const{
return Vector2D<Scalar>(x() / __s, y() / __s);
}
template<class Scalar>
inline Scalar
Vector2D<Scalar>::dot(Vector2D const& __v) const{
return (x() * __v.x() + y() * __v.y());
}
template<class Scalar>
inline Scalar
Vector2D<Scalar>::cross(Vector2D const& __v) const{
return (x() * __v.y() - y() * __v.x());
}
template<class Scalar>
inline Scalar
Vector2D<Scalar>::length() const{
return Scalar(sqrt(double(length2())));
}
template<class Scalar>
inline Scalar
Vector2D<Scalar>::length2() const{
return squ(x()) + squ(y());
}
template<class Scalar>
inline Vector2D<Scalar>&
Vector2D<Scalar>::normalize(){
return copy(normalized());
}
template<class Scalar>
inline Vector2D<Scalar>
Vector2D<Scalar>::normalized() const{
return div(length());
}
template<class Scalar>
inline Vector2D<Scalar>&
Vector2D<Scalar>::rotate(Scalar const& __theta){
return copy(rotated(__theta));
}
template<class Scalar>
inline Vector2D<Scalar>
Vector2D<Scalar>::rotated(Scalar const& __theta) const{
Scalar cs(cos(-double(__theta)));
Scalar sn(sin(-double(__theta)));
Vector2D<Scalar> new_x(cs, sn);
return Vector2D<Scalar>(new_x.dot(*this), new_x.cross(*this));
}
template<class Scalar>
inline Vector2D<Scalar>&
Vector2D<Scalar>::reflect(Vector2D const& __v){
return copy(reflected(__v));
}
template<class Scalar>
inline Vector2D<Scalar>
Vector2D<Scalar>::reflected(Vector2D const& __v) const{
return __v.mul(__v.dot(*this) * 2 / __v.length2()).sub(*this);
}
template<class Scalar>
inline Matrix<Scalar>
Vector2D<Scalar>::matrix() const{
Matrix<Scalar> ret(2, 0, Scalar(0));
ret(0, 0) = x();
ret(1, 0) = y();
return ret;
}
template<class Scalar>
inline Matrix<Scalar>
Vector2D<Scalar>::matrix(Scalar const& __homo) const{
Matrix<Scalar> ret(3, 0, Scalar(0));
ret(0, 0) = x();
ret(1, 0) = y();
ret(2, 0) = __homo;
return ret;
}
template<class Scalar>
inline Scalar const&
Vector2D<Scalar>::operator()(size_t n) const{
return (n == 0 ? x() : y());
}
template<class Scalar>
inline Scalar&
Vector2D<Scalar>::operator()(size_t n){
return (n == 0 ? _x : _y);
}
template<class Scalar>
inline Vector2D<Scalar>&
Vector2D<Scalar>::operator()(Scalar const& __x, Scalar const& __y){
x(__x);
y(__y);
return *this;
}
template<class Scalar>
inline Vector2D<Scalar>
Vector2D<Scalar>::operator+() const{
return positive();
}
template<class Scalar>
inline Vector2D<Scalar>
Vector2D<Scalar>::operator-() const{
return negative();
}
template<class Scalar>
inline Vector2D<Scalar>
Vector2D<Scalar>::operator~() const{
return right();
}
template<class Scalar>
inline Vector2D<Scalar>
Vector2D<Scalar>::operator+(Vector2D const& __v) const{
return add(__v);
}
template<class Scalar>
inline Vector2D<Scalar>
Vector2D<Scalar>::operator-(Vector2D const& __v) const{
return sub(__v);
}
template<class Scalar>
inline Vector2D<Scalar>
Vector2D<Scalar>::operator*(Scalar const& __s) const{
return mul(__s);
}
template<class Scalar>
inline Vector2D<Scalar>
Vector2D<Scalar>::operator/(Scalar const& __s) const{
return div(__s);
}
template<class Scalar>
inline Vector2D<Scalar>&
Vector2D<Scalar>::operator+=(Vector2D const& __v){
return copy(add(__v));
}
template<class Scalar>
inline Vector2D<Scalar>&
Vector2D<Scalar>::operator-=(Vector2D const& __v){
return copy(sub(__v));
}
template<class Scalar>
inline Vector2D<Scalar>&
Vector2D<Scalar>::operator*=(Scalar const& __s){
return copy(mul(__s));
}
template<class Scalar>
inline Vector2D<Scalar>&
Vector2D<Scalar>::operator/=(Scalar const& __s){
return copy(div(__s));
}
}
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