Metrics and R conversion

Stable Numerics Subroutine Library
Programming Reference Manual
Version 1.0 DD-00006-010

T width() const;
T midpoint() const;
T magnitude() const;
T mignitude() const;
T pivot() const;
T size() const;
T radius() const;

These functions convert the interval into a $R$ space representation. Given the current interval as $A ∈KR$ these metrics are defined as:

width(): Width of the interval $a-a-$ .
midpoint(): Midpoint of the interval $( ) 12 a+ a-$ .
magnitude(): Magnitude of the interval $max(|a|,| a|)$ .
mignitude(): Mignitude of the interval $min(|a|,| a|)$ .
pivot(): Pivot of the interval $√︁ ------------------- max(|a|,| a|)min(|a|,| a|)$ .
size(): Size of the interval $( ) 12 |a-|+ |a|$ .
radius(): Radius of the interval $(- - ) max a-2a-a,a-- a-2a-$ .