Sollya User's Manual

Name:

inf gives the lower bound of an interval.

Library name:

sollya_obj_t sollya_lib_inf(sollya_obj_t)

Usage:

inf(I) : range -> constant inf(x) : constant -> constant

Parameters:

I is an interval.
x is a real number.

Description:

Returns the lower bound of the interval I. Each bound of an interval has its own precision, so this command is exact, even if the current precision is too small to represent the bound.
When called on a real number x, inf behaves like the identity.

Example 1:

   > inf([1;3]);
   1
   > inf(0);
   0

Example 2:

   > display=binary!;
   > I=[0.111110000011111_2; 1];
   > inf(I);
   1.11110000011111_2 * 2^(-1)
   > prec=12!;
   > inf(I);
   1.11110000011111_2 * 2^(-1)