Module norman::special::implementation

Implementations of the NormEucl and DistanceEucl trait for several types.

Below you find a detailed description of how these traits are implemented on different types.

Types with an absolute value

If a types implements Norm<Abs> or Distance<Abs> then norm_eucl and distance_eucl calculate the abs-norm or the abs-distance respectively.

Vector types

For types that represent onedimensional vectors (i.e. arrays, Vec and the Array1 type of ndarray) norm_eucl and distance_eucl calculate the euclidean norm or distance respectively.

Higher-dimensional ndarrays do not implement the euclidean traits, since they may represent e.g. matrices and for a matrix, simply calculating the square root of the squared sum of the components is no standard norm in any way.