# NAG CL InterfaceX02AMC (real_​safe)

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## 1Purpose

X02AMC returns the safe range of floating-point arithmetic.

## 2Specification

 #include
 double X02AMC
The function may be called by the names: x02amc, nag_machine_real_safe or nag_real_safe_small_number.

## 3Description

X02AMC is a constant defined in the C Header file.
X02AMC is defined to be the smallest positive model number $z$ such that for any $x$ in the range [$z,1/z$] the following can be computed without undue loss of accuracy, overflow, underflow or other error:
• $-x$
• $1/x$
• $-1/x$
• $\sqrt{x}$
• $\mathrm{log}\left(x\right)$
• $\mathrm{exp}\left(\mathrm{log}\left(x\right)\right)$
• ${y}^{\left(\mathrm{log}\left(x\right)/\mathrm{log}\left(y\right)\right)}$ for any $y$

None.

None.

None.

Not applicable.

## 8Parallelism and Performance

X02AMC is not threaded in any implementation.