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D.8.2.7 evalPolyAtBox2

Procedure from library interval.lib (see interval_lib).

Usage:
evalPolyAtBox2(f, B), f poly, B box

Return:
interval extension ff(intervals)

Example:
 
LIB "interval.lib";
ring R = 0,x,lp;
interval I1 = bounds2(0, 1); I1;
==> [0, 1]
==> 
poly f = x3 + 4x + 3;
evalPolyAtBox2(f, list(I1));
==> [3, 8]
==> 
ring S = 0,(x,y,z),lp;
interval I2 = bounds2(0, 1);
box B = list(I2, I2, I2);
poly f = xyz2 + 2x2 + (3/2)*y3x + z + 1;
evalPolyAtBox2(f, B);
==> [1, 13/2]
==>

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