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monofonIC/include/vec3.hh
2019-11-03 15:54:17 +01:00

79 lines
2.5 KiB
C++

/*******************************************************************\
vec3.hh - This file is part of MUSIC2 -
a code to generate initial conditions for cosmological simulations
CHANGELOG (only majors, for details see repo):
06/2019 - Oliver Hahn - first implementation
\*******************************************************************/
#pragma once
//! implements a simple class of 3-vectors of arbitrary scalar type
template< typename T >
class vec3{
private:
//! holds the data
std::array<T,3> data_;
public:
//! expose access to elements via references
T &x,&y,&z;
//! empty constructor
vec3()
: x(data_[0]),y(data_[1]),z(data_[2]){}
//! copy constructor
vec3( const vec3<T> &v)
: data_(v.data_), x(data_[0]),y(data_[1]),z(data_[2]){}
//! move constructor
vec3( vec3<T> &&v)
: data_(std::move(v.data_)), x(data_[0]), y(data_[1]), z(data_[2]){}
//! construct vec3 from initializer list
template<typename ...E>
vec3(E&&...e)
: data_{{std::forward<E>(e)...}}, x(data_[0]), y(data_[1]), z(data_[2]){}
//! bracket index access to vector components
T &operator[](size_t i){ return data_[i];}
//! const bracket index access to vector components
const T &operator[](size_t i) const { return data_[i]; }
//! implementation of summation of vec3
vec3<T> operator+( const vec3<T>& v ) const{ return vec3<T>({x+v.x,y+v.y,z+v.z}); }
//! implementation of difference of vec3
vec3<T> operator-( const vec3<T>& v ) const{ return vec3<T>({x-v.x,y-v.y,z-v.z}); }
//! implementation of scalar multiplication
vec3<T> operator*( T s ) const{ return vec3<T>({x*s,y*s,z*s}); }
//! implementation of += operator
vec3<T>& operator+=( const vec3<T>& v ) const{ x+=v.x; y+=v.y; z+=v.z; return *this; }
//! implementation of -= operator
vec3<T>& operator-=( const vec3<T>& v ) const{ x-=v.x; y-=v.y; z-=v.z; return *this; }
//! multiply with scalar
vec3<T>& operator*=( T s ) const{ x*=s; y*=s; z*=s; return *this; }
//! compute dot product with another vector
T dot(const vec3<T> &a) const
{
return data_[0] * a.data_[0] + data_[1] * a.data_[1] + data_[2] * a.data_[2];
}
//! returns 2-norm squared of vector
T norm_squared(void) const { return this->dot(*this); }
//! returns 2-norm of vector
T norm(void) const { return std::sqrt( this->norm_squared() ); }
};
//! multiplication with scalar
template<typename T>
vec3<T> operator*( T s, const vec3<T>& v ){
return vec3<T>({v.x*s,v.y*s,v.z*s});
}