NAG Library Manual, Mark 27

Interfaces: FL CL CPP AD

NAG CL Interface Introduction

X02 (Machine) Chapter Contents

X02 (Machine) Chapter Introduction

x02am: FL CL CPP AD

NAG CL Interface
X02AMC (real_safe)

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NAG Library Manual, Mark 27

Interfaces: FL CL CPP AD

NAG CL Interface Introduction

X02 (Machine) Chapter Contents

X02 (Machine) Chapter Introduction

x02am: FL CL CPP AD

▸▿ Contents

2 Specification

3 Description

4 References

5 Arguments

6 Error Indicators and Warnings

8 Parallelism and Performance

9 Further Comments

© The Numerical Algorithms Group Ltd. 2019

1 Purpose

X02AMC returns the safe range of floating-point arithmetic.

2 Specification

#include <nag.h>

double

X02AMC

The function may be called by the names: x02amc, nag_machine_real_safe or nag_real_safe_small_number.

3 Description

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:

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

4 References

None.

5 Arguments

None.

6 Error Indicators and Warnings

None.

7 Accuracy

Not applicable.

8 Parallelism and Performance

X02AMC is not threaded in any implementation.

9 Further Comments

None.

10 Example

None.

NAG Library Manual, Mark 27

Interfaces: FL CL CPP AD

NAG CL Interface Introduction

X02 (Machine) Chapter Contents

X02 (Machine) Chapter Introduction

x02am: FL CL CPP AD

© The Numerical Algorithms Group Ltd. 2019