NAG Library Routine Document

f06hpf (zcrot)

1
Purpose

f06hpf applies a complex plane rotation to two complex vectors.

2
Specification

Fortran Interface
Subroutine f06hpf ( n, x, incx, y, incy, c, s)
Integer, Intent (In):: n, incx, incy
Complex (Kind=nag_wp), Intent (In):: c, s
Complex (Kind=nag_wp), Intent (Inout):: x(*), y(*)
C Header Interface
#include <nagmk26.h>
void  f06hpf_ (const Integer *n, Complex x[], const Integer *incx, Complex y[], const Integer *incy, const Complex *c, const Complex *s)

3
Description

f06hpf applies a complex plane rotation to two n-element complex vectors x and y:
xT yT c s -s- c- xT yT .  

4
References

None.

5
Arguments

1:     n – IntegerInput
On entry: n, the number of elements in x and y.
2:     x* – Complex (Kind=nag_wp) arrayInput/Output
Note: the dimension of the array x must be at least max1, 1+n-1 ×incx .
On entry: the n-element vector x.
If incx>0, xi must be stored in x1+i-1×incx, for i=1,2,,n.
If incx<0, xi must be stored in x1-n-i×incx, for i=1,2,,n.
Intermediate elements of x are not referenced.
On exit: the transformed vector x stored in the array elements used to supply the original vector x.
Intermediate elements of x are unchanged.
3:     incx – IntegerInput
On entry: the increment in the subscripts of x between successive elements of x.
4:     y* – Complex (Kind=nag_wp) arrayInput/Output
Note: the dimension of the array y must be at least max1, 1+n-1 ×incy .
On entry: the n-element vector y.
If incy>0, yi must be stored in y1+i-1×incy, for i=1,2,,n.
If incy<0, yi must be stored in y1-n-i×incy, for i=1,2,,n.
Intermediate elements of y are not referenced.
On exit: the transformed vector y.
Intermediate elements of y are unchanged.
5:     incy – IntegerInput
On entry: the increment in the subscripts of y between successive elements of y.
6:     c – Complex (Kind=nag_wp)Input
On entry: the value c, the cosine of the rotation.
7:     s – Complex (Kind=nag_wp)Input
On entry: the value s, the sine of the rotation.

6
Error Indicators and Warnings

None.

7
Accuracy

Not applicable.

8
Parallelism and Performance

f06hpf is not threaded in any implementation.

9
Further Comments

None.

10
Example

None.