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D.8.8.8 evalPolyAtBox

Procedure from library rootisolation.lib (see rootisolation_lib).

Usage:
evalPolyAtBox(f, B); f poly, B box

Return:
interval, evaluation of f at B using interval arithmetic

Purpose:
computes an interval extension of the polynomial

Example:
 
LIB "rootisolation.lib";
ring R = 0,(x,y),dp;
poly f = x2+y-1;
box B = list(bounds(-1,1), bounds(1,3)/2);
interval I = evalPolyAtBox(f, B); I;
==> [-1/2, 3/2]