The NextAfter(x, y) function returns the next machine representable number after x in the direction toward y, where "machine" means either the software floating-point computation environment determined by Digits, or the hardware floating-point computation environment of the underlying physical hardware.

Which floating-point environment is used depends on the type of x. If x is a hardware floating-point value (see HFloat), the hardware floating-point environment is used. Otherwise the software floating-point environment is used.

If $x=y$ and x and y are real extended_numeric, then NextAfter(x, y) = x and no exception is signaled (this specifically includes the case when $x=0$, even when x and y are differently signed).

If either of x or y is undefined, the result is one of the input undefineds.

If x is the largest machine representable number and $x<y$, then NextAfter(x, y) = infinity and the overflow event is signaled.

If x is the smallest positive machine representable number and $y<x$, then NextAfter(x, y) = +0, and the underflow event is signaled. Similarly, NextAfter(-x, -y) = -0.

If y is unordered with x (i.e., Unordered(x, y) returns true), but neither is undefined, an invalid_operation is signaled.

The NextAfter command is thread-safe as of Maple 15.

For more information on thread safety, see index/threadsafe.

NextAfter(0,0);

$0$

NextAfter(0,-1);

$\mathrm{-1.}{10}^{\mathrm{-11}}$

NextAfter(0,1);

$1.{10}^{\mathrm{-11}}$

NextAfter(0.2,1);

$0.2000000001$

NextAfter(HFloat(2.3),10);

$2.30000000000000$

Digits := 20;

$\mathrm{Digits}≔20$

NextAfter(0.2,1);

$0.20000000000000000001$