NAG C Library Function Document

nag_complex_safe_small_number (X02ANC)

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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_complex_safe_small_number (X02ANC) returns the safe range of complex floating-point arithmetic.

2

Specification

#include <nag.h>

#include <nagx02.h>

double

nag_complex_safe_small_number

3

Description

nag_complex_safe_small_number (X02ANC) is a constant defined in the C Header file.

nag_complex_safe_small_number (X02ANC) 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

4

References

None.

5

Arguments

None.

6

Error Indicators and Warnings

None.

7

Accuracy

None.

8

Parallelism and Performance

nag_complex_safe_small_number (X02ANC) 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_complex_safe_small_number (X02ANC)

▸▿ 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