Description of operator /

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Category:intervals,operator

Component type:function

Prototype

template <class Tnum> interval<Tnum> operator / (const interval<Tnum>& x, const interval<Tnum>& y) ;

Description

Divides an interval x by another interval y returning the quotient as an outward rounded interval. Uses the algorithm from Moore's book "Methods and Applications of Interval analysis" p12


 x = [a,b] ; y = [c,d] 

 x/y = 

 [b/c,a/d]  if a>0 c>0 b>0  

 [b/d,a/d]  if a>0 c>0 b<=0 

 [a/c,b/d]  if a>0 c<=0 b<0 

 [a/c,b/c]  if a>0 c<=0 b>=0 

 [b/d,a/c]  if a<=0 c>0 

 [a/d,b/c]  if a<=0 c<=0

Returns a proper interval in all cases.

Definition

interval.cct

Preconditions

Complexity

Example

Notes

See also