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#pragma once
#include <cmath>
template<typename scalar>
class _vector2
{
private:
scalar vals[2];
public:
const scalar& x() const {return vals[0];}
const scalar& y() const {return vals[1];}
_vector2() {}
_vector2(scalar const* array)
{
vals[0] = array[0];
vals[1] = array[1];
}
_vector2(const _vector2& base)
{
vals[0] = base.vals[0];
vals[1] = base.vals[1];
}
_vector2(scalar new_x, scalar new_y)
{
vals[0] = new_x;
vals[1] = new_y;
}
scalar* as_array(){return vals;}
const scalar* as_array() const{return vals;}
operator scalar*() {return vals;}
operator scalar const*() const {return vals;}
scalar& operator[](int index) {return vals[index];}
const scalar& operator[](int index) const {return vals[index];}
_vector2& operator=(const _vector2& vec)//assignment
{
vals[0] = vec[0];
vals[1] = vec[1];
return *this;
}
_vector2& operator=(const scalar* array) //assignment
{
vals[0] = array[0];
vals[1] = array[1];
return *this;
}
void set(const scalar& new_x, const scalar& new_y)
{
vals[0] = new_x;
vals[1] = new_y;
}
bool operator==(const _vector2& vec) const
{
return (vals[0] == vec[0]) &&
(vals[1] == vec[1]);
}
bool operator!=(const _vector2& vec) const
{
return !((*this) == vec);
}
bool operator<(const _vector2& vec) const
{
if(vals[0] != vec[0]) return vals[0] < vec[0];
if(vals[1] != vec[1]) return vals[1] < vec[1];
return false;
}
bool operator<=(const _vector2& vec) const
{
return (*this) < vec || (*this) == vec;
}
bool operator>(const _vector2& vec) const
{
return (*this) < vec || (*this) == vec;
}
bool operator>=(const _vector2& vec) const
{
return !((*this) < vec);
}
_vector2& operator+=(const _vector2& val_to_add)
{
vals[0] += val_to_add[0];
vals[1] += val_to_add[1];
return *this;
}
_vector2& operator-=(const _vector2& val_to_subtract)
{
vals[0] -= val_to_subtract[0];
vals[1] -= val_to_subtract[1];
return *this;
}
_vector2& operator*=(const scalar& scale)
{
vals[0] *= scale;
vals[1] *= scale;
return *this;
}
_vector2& operator/=(const scalar& scale)
{
vals[0] /= scale;
vals[1] /= scale;
return *this;
}
scalar operator^(const _vector2& other) const //cross product
{
return vals[0]*other[1] - vals[1]*other[0];
}
_vector2 operator+(const _vector2& val_to_add) const //addition
{
return _vector2(*this) += val_to_add;
}
_vector2 operator-(const _vector2& val_to_subtract) const //subtraction
{
return _vector2(*this) -= val_to_subtract;
}
_vector2 operator*(const scalar& scale) const //scaling
{
return _vector2(*this) *= scale;
}
_vector2 operator/(const scalar& scale) const //scaling
{
return _vector2(*this) /= scale;
}
scalar operator*(const _vector2& other) const //dot product
{
return (vals[0] * other[0]) + (vals[1] * other[1]);
}
_vector2 operator-() const // negation
{
return _vector2(-vals[0], -vals[1]);
}
scalar dot(const _vector2& v) const
{
return *this * v;
}
scalar cross(const _vector2& v) const
{
return *this ^ v;
}
scalar length_squared() const
{
return *this * *this;
}
scalar length() const
{
return sqrt(length_squared());
}
_vector2 unit() const
{
return _vector2(*this) / length();
}
static _vector2< scalar >& cast(scalar* array)
{
return *((_vector2*)(array));
}
};
template<typename scalar>
_vector2< scalar > polar_vector2(scalar angle, scalar length)
{
return _vector2< scalar >(sin(angle) * length, cos(angle) * length);
}
template<typename scalar>
_vector2< scalar >& normalize(_vector2< scalar >& v)
{
v /= v.length();
return v;
}
/*
#ifdef _GLIBCXX_OSTREAM
template <typename scalar>
std::ostream& operator<<
(std::ostream& os, const _vector2< scalar >& vec)
{
return os<< "<" << vec.x() << ", " << vec.y() << ">";
}
#endif
*/
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