naginterfaces.library.machine.real_​safe

naginterfaces.library.machine.real_safe()

real_safe returns the safe range of floating-point arithmetic.

For full information please refer to the NAG Library document for x02am

https://www.nag.com/numeric/nl/nagdoc_29.3/flhtml/x02/x02amf.html

Returns

saferangefloat

The safe range of floating-point arithmetic.

Notes

real_safe 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:

$-x$

$1/x$

$-1/x$

$\sqrt{x}$

$\log \left(x\right)$

$exp\left(\log \left(x\right)\right)$

$y^{\left(\log \left(x\right)/\log \left(y\right)\right)}$ for any $y$