Vector norms. More...

import dxx.math.linalg:traits;
import dxx.math.utils;

Classes
struct	dxx::math::Norm< Func, SqFunc >
	Defines a norm. Only norm field is required, all other fields can be assigned a nullptr. More...

Namespaces
namespace	dxx::math
	The main namespace of the dxx::math module.
namespace	dxx::math::norms
	Built-in norms.

Functions
template<Norm t_norm = norms::euclidean, vector V>
constexpr RealOf< V >	dxx::math::norm (const V &v)
	Calculates norm t_norm for vector v.
template<Norm t_norm = norms::euclidean, vector V>
constexpr RealOf< V >	dxx::math::sq_norm (const V &v)
	Calculates the square of the norm t_norm for vector v.
template<Norm t_norm = norms::euclidean, vector V, vector_like< V > U>
constexpr RealOf< V >	dxx::math::dist (const V &v, const U &u)
	Calculates the distance between vector v and u according to norm t_norm.
template<Norm t_norm = norms::euclidean, vector V, vector_like< V > U>
constexpr RealOf< V >	dxx::math::sq_dist (const V &v, const U &u)
	Calculates the square of the distance between vector v and u according to norm t_norm.

Variables
constexpr auto	dxx::math::detail::euclidean_squared
constexpr Norm	dxx::math::norms::euclidean
	Euclidean norm (2-norm).
constexpr Norm	dxx::math::norms::p_one
	1-norm (sum of absolute values of elements)
constexpr Norm	dxx::math::norms::infinity
	Infinity norm (max absolute value across elements).

Detailed Description

Vector norms.

Variable Documentation

auto dxx::math::detail::euclidean_squared

inlineconstexpr

Initial value:

                                        = [] (const vector auto& v) static {
    return dot(v, v);
}