NAG C Library Function Document

nag_real_safe_small_number (X02AMC)

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NAG C Library Manual, Mark 26

NAG Library Manual, Mark 26

NAG AD Library Manual, Mark 26

x02 Chapter Contents

x02 Chapter Introduction

▸▿ Contents

1 Purpose

2 Specification

3 Description

4 References

5 Arguments

6 Error Indicators and Warnings

7 Accuracy

8 Parallelism and Performance

9 Further Comments

10 Example

1

Purpose

nag_real_safe_small_number (X02AMC) returns the safe range of floating-point arithmetic.

2

Specification

#include <nag.h>

#include <nagx02.h>

double

nag_real_safe_small_number

3

Description

nag_real_safe_small_number (X02AMC) is a constant defined in the C Header file.

nag_real_safe_small_number (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

None.

8

Parallelism and Performance

nag_real_safe_small_number (X02AMC) is not threaded in any implementation.

9

Further Comments

None.

10

Example

None.

NAG C Library Manual, Mark 26

NAG Library Manual, Mark 26

NAG AD Library Manual, Mark 26

x02 Chapter Contents

x02 Chapter Introduction

NAG C Library Function Document

nag_real_safe_small_number (X02AMC)

▸▿ Contents

1 Purpose

2 Specification

3 Description

4 References

5 Arguments

6 Error Indicators and Warnings

7 Accuracy

8 Parallelism and Performance

9 Further Comments

10 Example

1

Purpose

2

Specification

3

Description

4

References

5

Arguments

6

Error Indicators and Warnings

7

Accuracy

8

Parallelism and Performance

9

Further Comments

10

Example