NAG Library Routine Document

x02amf (real_safe)

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NAG Library Manual, Mark 26

NAG AD Library Manual, Mark 26

NAG C Library Manual, Mark 26

X02 (machine) Chapter Contents

X02 (machine) 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

x02amf returns the safe range of floating-point arithmetic.

2

Specification

Fortran Interface

Function x02amf (

)

Real (Kind=nag_wp)

x02amf

C Header Interface

#include <nagmk26.h>

double

x02amf_ ()

3

Description

x02amf 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

x02amf is not threaded in any implementation.

9

Further Comments

None.

10

Example

See Section 10 in x02ajf.

NAG Library Manual, Mark 26

NAG AD Library Manual, Mark 26

NAG C Library Manual, Mark 26

X02 (machine) Chapter Contents

X02 (machine) Chapter Introduction

NAG Library Routine Document

x02amf (real_safe)

▸▿ 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