NAG Library Routine Document

c06fcf (fft_complex_1d_sep)

1

Purpose

2

Specification

3

Description

4

References

5

Arguments

1:     $\mathbf{x}\left(\mathbf{n}\right)$ – Real (Kind=nag_wp) arrayInput/Output

On entry: if x is declared with bounds $\left(0:\mathbf{n}-1\right)$ in the subroutine from which c06fcf is called, $\mathbf{x}\left(\mathit{j}\right)$ must contain $x_{\mathit{j}}$, the real part of $z_{\mathit{j}}$, for $\mathit{j}=0,1,\dots ,n-1$.

On exit: the real parts $a_k$ of the components of the discrete Fourier transform. If x is declared with bounds $\left(0:\mathbf{n}-1\right)$ in the subroutine from which c06fcf is called, for $0\le k\le n-1$, $a_k$ is contained in $\mathbf{x}\left(k\right)$.

2:     $\mathbf{y}\left(\mathbf{n}\right)$ – Real (Kind=nag_wp) arrayInput/Output

On entry: if y is declared with bounds $\left(0:\mathbf{n}-1\right)$ in the subroutine from which c06fcf is called, $\mathbf{y}\left(\mathit{j}\right)$ must contain $y_{\mathit{j}}$, the imaginary part of $z_{\mathit{j}}$, for $\mathit{j}=0,1,\dots ,n-1$.

On exit: the imaginary parts $b_k$ of the components of the discrete Fourier transform. If y is declared with bounds $\left(0:\mathbf{n}-1\right)$ in the subroutine from which c06fcf is called, then for $0\le k\le n-1$, $b_k$ is contained in $\mathbf{y}\left(k\right)$.

3:     $\mathbf{n}$ – IntegerInput

On entry: $n$, the number of data values.

Constraint: $\mathbf{n}>1$.

4:     $\mathbf{work}\left(\mathbf{n}\right)$ – Real (Kind=nag_wp) arrayWorkspace

5:     $\mathbf{ifail}$ – IntegerInput/Output

On entry: ifail must be set to $0$, $-1\text{ or }1$. If you are unfamiliar with this argument you should refer to Section 3.4 in How to Use the NAG Library and its Documentation for details.

For environments where it might be inappropriate to halt program execution when an error is detected, the value $-1\text{ or }1$ is recommended. If the output of error messages is undesirable, then the value $1$ is recommended. Otherwise, if you are not familiar with this argument, the recommended value is $0$. When the value $-\mathbf{1}\text{ or }\mathbf{1}$ is used it is essential to test the value of ifail on exit.

On exit: $\mathbf{ifail}=\mathbf{0}$ unless the routine detects an error or a warning has been flagged (see Section 6).

6

Error Indicators and Warnings

$\mathbf{ifail}=3$

On entry, $\mathbf{n}=〈\mathit{\text{value}}〉$.
Constraint: $\mathbf{n}>1$.

$\mathbf{ifail}=-99$

An unexpected error has been triggered by this routine. Please contact NAG.

See Section 3.9 in How to Use the NAG Library and its Documentation for further information.

$\mathbf{ifail}=-399$

Your licence key may have expired or may not have been installed correctly.

See Section 3.8 in How to Use the NAG Library and its Documentation for further information.

$\mathbf{ifail}=-999$

Dynamic memory allocation failed.

See Section 3.7 in How to Use the NAG Library and its Documentation for further information.

7

Accuracy

8

Parallelism and Performance

9

Further Comments

10

Example

10.1

Program Text

Program Text (c06fcfe.f90)

10.2

Program Data

Program Data (c06fcfe.d)

10.3

Program Results

Program Results (c06fcfe.r)