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monofonIC/include/vec3.hh
2020-03-29 14:45:43 +02:00

118 lines
4.1 KiB
C++

/*******************************************************************\
vec3_t.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_t{
private:
//! holds the data
std::array<T,3> data_;
public:
//! expose access to elements via references
T &x,&y,&z;
//! empty constructor
vec3_t()
: x(data_[0]),y(data_[1]),z(data_[2]){}
//! copy constructor
vec3_t( const vec3_t<T> &v)
: data_(v.data_), x(data_[0]),y(data_[1]),z(data_[2]){}
//! copy constructor for non-const reference, needed to avoid variadic template being called for non-const reference
vec3_t( vec3_t<T>& v)
: data_(v.data_), x(data_[0]),y(data_[1]),z(data_[2]){}
//! move constructor
vec3_t( vec3_t<T> &&v)
: data_(std::move(v.data_)), x(data_[0]), y(data_[1]), z(data_[2]){}
//! construct vec3_t from initializer list
template<typename ...E>
vec3_t(E&&...e)
: data_{{std::forward<E>(e)...}}, x{data_[0]}, y{data_[1]}, z{data_[2]}
{}
// vec3_t( T a, T b, T c )
// : data_{{a,b,c}}, x(data_[0]), y(data_[1]), z(data_[2]){}
//! bracket index access to vector components
T &operator[](size_t i) noexcept{ return data_[i];}
//! const bracket index access to vector components
const T &operator[](size_t i) const noexcept { return data_[i]; }
// assignment operator
vec3_t<T>& operator=( const vec3_t<T>& v ) noexcept { data_=v.data_; return *this; }
//! implementation of summation of vec3_t
vec3_t<T> operator+( const vec3_t<T>& v ) const noexcept{ return vec3_t<T>({x+v.x,y+v.y,z+v.z}); }
//! implementation of difference of vec3_t
vec3_t<T> operator-( const vec3_t<T>& v ) const noexcept{ return vec3_t<T>({x-v.x,y-v.y,z-v.z}); }
//! implementation of unary negative
vec3_t<T> operator-() const noexcept{ return vec3_t<T>({-x,-y,-z}); }
//! implementation of scalar multiplication
vec3_t<T> operator*( T s ) const noexcept{ return vec3_t<T>({x*s,y*s,z*s}); }
//! implementation of scalar division
vec3_t<T> operator/( T s ) const noexcept{ return vec3_t<T>({x/s,y/s,z/s}); }
//! implementation of += operator
vec3_t<T>& operator+=( const vec3_t<T>& v ) noexcept{ x+=v.x; y+=v.y; z+=v.z; return *this; }
//! implementation of -= operator
vec3_t<T>& operator-=( const vec3_t<T>& v ) noexcept{ x-=v.x; y-=v.y; z-=v.z; return *this; }
//! multiply with scalar
vec3_t<T>& operator*=( T s ) noexcept{ x*=s; y*=s; z*=s; return *this; }
//! divide by scalar
vec3_t<T>& operator/=( T s ) noexcept{ x/=s; y/=s; z/=s; return *this; }
//! compute dot product with another vector
T dot(const vec3_t<T> &a) const noexcept
{
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 noexcept { return this->dot(*this); }
//! returns 2-norm of vector
T norm(void) const noexcept { return std::sqrt( this->norm_squared() ); }
//! wrap absolute vector to box of size p
vec3_t<T>& wrap_abs( T p = 1.0 ) noexcept{
for( auto& x : data_ ) x = std::fmod( 2*p + x, p );
return *this;
}
//! wrap relative vector to box of size p
vec3_t<T>& wrap_rel( T p = 1.0 ) noexcept{
for( auto& x : data_ ) x = (x<-p/2)? x+p : (x>=p/2)? x-p : x;
return *this;
}
//! ordering, allows 3d sorting of vec3_ts
bool operator<( const vec3_t<T>& o ) const noexcept{
if( x!=o.x ) return x<o.x?true:false;
if( y!=o.y ) return y<o.y?true:false;
if( z!=o.z ) return z<o.z?true:false;
return false;
}
};
//! multiplication with scalar
template<typename T>
vec3_t<T> operator*( T s, const vec3_t<T>& v ){
return vec3_t<T>({v.x*s,v.y*s,v.z*s});
}