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Chapter Contents

Chapter Introduction

NAG Toolbox

NAG Toolbox: nag_machine_complex_safe (x02an)

▸▿ Contents

1 Purpose

2 Syntax

3 Description

4 References

▸▿ 5 Parameters

5.1 Compulsory Input Parameters

5.2 Optional Input Parameters

5.3 Output Parameters

6 Error Indicators and Warnings

7 Accuracy

8 Further Comments

9 Example

Purpose

nag_machine_complex_safe (x02an) returns the safe range of complex floating-point arithmetic.

Syntax

[result] = x02an

[result] = nag_machine_complex_safe

Description

nag_machine_complex_safe (x02an) 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:

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

where

w

is any of

x

i x

x + i x

1 / x

i / x

1 / x + i / x

, and

i

is the square root of

- 1

References

None.

Parameters

Compulsory Input Parameters

None.

Optional Input Parameters

None.

Output Parameters

1: $result$ – double scalar: The result of the function.

Error Indicators and Warnings

None.

Accuracy

None.

Further Comments

None.

Example

See Example in nag_machine_precision (x02aj).

Open in the MATLAB editor: x02an_example

function x02an_example


fprintf('x02an example results\n\n');

fprintf('the complex safe range parameter = %22.15e\n', ...
        x02an);

x02an example results

the complex safe range parameter = 2.225073858507202e-308

PDF version (NAG web site, 64-bit version, 64-bit version)

Chapter Contents

Chapter Introduction

NAG Toolbox