NAG FL Interface
x02anf (complex_​safe)

x02anf returns the safe range of complex floating-point arithmetic.

The routine may be called by the names x02anf or nagf_machine_complex_safe.

x02anf 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:

• $-w$
• $1/w$
• $-1/w$
• $\sqrt{w}$
• $\log \left(w\right)$
• $\exp \left(\log \left(w\right)\right)$
• $y^{\left(\log \left(w\right)/\log \left(y\right)\right)}$ for any $y$
• $\left|w\right|$

where $w$ is any of $x$, $ix$, $x+ix$, $1/x$, $i/x$, $1/x+i/x$, and $i$ is the square root of $-1$.

None.

None.

None.

Not applicable.

x02anf is not threaded in any implementation.

None.

See Section 10 in x02ajf.