NAG FL Interface
f06hmf (zrot)

1 Purpose

2 Specification

3 Description

4 References

5 Arguments

1: $\mathbf{n}$ – Integer Input

On entry: $n$, the number of elements in $x$ and $y$.

2: $\mathbf{cx}\left(*\right)$ – Complex (Kind=nag_wp) array Input/Output

Note: the dimension of the array cx must be at least $\max (1,1+(\mathbf{n}-1)\times \left|\mathbf{incx}\right|)$.

On entry: the $n$-element vector $x$.

If $\mathbf{incx}>0$, $x_{\mathit{i}}$ must be stored in $\mathbf{cx}\left(1+(\mathit{i}-1)\times \mathbf{incx}\right)$, for $\mathit{i}=1,2,\dots ,\mathbf{n}$.

If $\mathbf{incx}<0$, $x_{\mathit{i}}$ must be stored in $\mathbf{cx}\left(1-(\mathbf{n}-\mathit{i})\times \mathbf{incx}\right)$, for $\mathit{i}=1,2,\dots ,\mathbf{n}$.

Intermediate elements of cx are not referenced.

On exit: the transformed vector $x$ stored in the array elements used to supply the original vector $x$.

Intermediate elements of cx are unchanged.

3: $\mathbf{incx}$ – Integer Input

On entry: the increment in the subscripts of cx between successive elements of $x$.

4: $\mathbf{cy}\left(*\right)$ – Complex (Kind=nag_wp) array Input/Output

Note: the dimension of the array cy must be at least $\max (1,1+(\mathbf{n}-1)\times \left|\mathbf{incy}\right|)$.

On entry: the $n$-element vector $y$.

If $\mathbf{incy}>0$, $y_{\mathit{i}}$ must be stored in $\mathbf{cy}\left(1+(\mathit{i}-1)\times \mathbf{incy}\right)$, for $\mathit{i}=1,2,\dots ,\mathbf{n}$.

If $\mathbf{incy}<0$, $y_{\mathit{i}}$ must be stored in $\mathbf{cy}\left(1-(\mathbf{n}-\mathit{i})\times \mathbf{incy}\right)$, for $\mathit{i}=1,2,\dots ,\mathbf{n}$.

Intermediate elements of cy are not referenced.

On exit: the transformed vector $y$.

Intermediate elements of cy are unchanged.

5: $\mathbf{incy}$ – Integer Input

On entry: the increment in the subscripts of cy between successive elements of $y$.

6: $\mathbf{c}$ – Real (Kind=nag_wp) Input

On entry: the value $c$, the cosine of the rotation.

7: $\mathbf{s}$ – Complex (Kind=nag_wp) Input

On entry: the value $s$, the sine of the rotation.

6 Error Indicators and Warnings

7 Accuracy

8 Parallelism and Performance

9 Further Comments

10 Example