Man page - rot(3)

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Manual

rot

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine crot (integer n, complex, dimension( * ) cx, integer incx,complex, dimension( * ) cy, integer incy, real c, complex s)
subroutine csrot (integer n, complex, dimension( * ) cx, integer incx,complex, dimension( * ) cy, integer incy, real c, real s)
subroutine drot (integer n, double precision, dimension(*) dx, integerincx, double precision, dimension(*) dy, integer incy, double precisionc, double precision s)
subroutine srot (integer n, real, dimension(*) sx, integer incx, real,dimension(*) sy, integer incy, real c, real s)
subroutine zdrot (integer n, complex*16, dimension( * ) zx, integer incx,complex*16, dimension( * ) zy, integer incy, double precision c, doubleprecision s)
subroutine zrot (integer n, complex*16, dimension( * ) cx, integer incx,complex*16, dimension( * ) cy, integer incy, double precision c,complex*16 s)
Author

NAME

rot - rot: apply plane rotation ([cz]rot in LAPACK)

SYNOPSIS

Functions

subroutine csrot (n, cx, incx, cy, incy, c, s)
CSROT
subroutine drot (n, dx, incx, dy, incy, c, s)
DROT
subroutine srot (n, sx, incx, sy, incy, c, s)
SROT
subroutine zdrot (n, zx, incx, zy, incy, c, s)
ZDROT
subroutine crot (n, cx, incx, cy, incy, c, s)
CROT applies a plane rotation with real cosine and complex sine to a pair of complex vectors.
subroutine zrot (n, cx, incx, cy, incy, c, s)
ZROT applies a plane rotation with real cosine and complex sine to a pair of complex vectors.

Detailed Description

Function Documentation

subroutine crot (integer n, complex, dimension( * ) cx, integer incx,complex, dimension( * ) cy, integer incy, real c, complex s)

CROT applies a plane rotation with real cosine and complex sine to a pair of complex vectors.

Purpose:

CROT applies a plane rotation, where the cos (C) is real and the
sin (S) is complex, and the vectors CX and CY are complex.

Parameters

N

N is INTEGER
The number of elements in the vectors CX and CY.

CX

CX is COMPLEX array, dimension (N)
On input, the vector X.
On output, CX is overwritten with C*X + S*Y.

INCX

INCX is INTEGER
The increment between successive values of CX. INCX <> 0.

CY

CY is COMPLEX array, dimension (N)
On input, the vector Y.
On output, CY is overwritten with -CONJG(S)*X + C*Y.

INCY

INCY is INTEGER
The increment between successive values of CY. INCX <> 0.

C

C is REAL

S

S is COMPLEX
C and S define a rotation
[ C S ]
[ -conjg(S) C ]
where C*C + S*CONJG(S) = 1.0.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine csrot (integer n, complex, dimension( * ) cx, integer incx,complex, dimension( * ) cy, integer incy, real c, real s)

CSROT

Purpose:

CSROT applies a plane rotation, where the cos and sin (c and s) are real
and the vectors cx and cy are complex.
jack dongarra, linpack, 3/11/78.

Parameters

N

N is INTEGER
On entry, N specifies the order of the vectors cx and cy.
N must be at least zero.

CX

CX is COMPLEX array, dimension at least
( 1 + ( N - 1 )*abs( INCX ) ).
Before entry, the incremented array CX must contain the n
element vector cx. On exit, CX is overwritten by the updated
vector cx.

INCX

INCX is INTEGER
On entry, INCX specifies the increment for the elements of
CX. INCX must not be zero.

CY

CY is COMPLEX array, dimension at least
( 1 + ( N - 1 )*abs( INCY ) ).
Before entry, the incremented array CY must contain the n
element vector cy. On exit, CY is overwritten by the updated
vector cy.

INCY

INCY is INTEGER
On entry, INCY specifies the increment for the elements of
CY. INCY must not be zero.

C

C is REAL
On entry, C specifies the cosine, cos.

S

S is REAL
On entry, S specifies the sine, sin.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine drot (integer n, double precision, dimension(*) dx, integerincx, double precision, dimension(*) dy, integer incy, double precisionc, double precision s)

DROT

Purpose:

DROT applies a plane rotation.

Parameters

N

N is INTEGER
number of elements in input vector(s)

DX

DX is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCX ) )

INCX

INCX is INTEGER
storage spacing between elements of DX

DY

DY is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCY ) )

INCY

INCY is INTEGER
storage spacing between elements of DY

C

C is DOUBLE PRECISION

S

S is DOUBLE PRECISION

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

jack dongarra, linpack, 3/11/78.
modified 12/3/93, array(1) declarations changed to array(*)

subroutine srot (integer n, real, dimension(*) sx, integer incx, real,dimension(*) sy, integer incy, real c, real s)

SROT

Purpose:

applies a plane rotation.

Parameters

N

N is INTEGER
number of elements in input vector(s)

SX

SX is REAL array, dimension ( 1 + ( N - 1 )*abs( INCX ) )

INCX

INCX is INTEGER
storage spacing between elements of SX

SY

SY is REAL array, dimension ( 1 + ( N - 1 )*abs( INCY ) )

INCY

INCY is INTEGER
storage spacing between elements of SY

C

C is REAL

S

S is REAL

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

jack dongarra, linpack, 3/11/78.
modified 12/3/93, array(1) declarations changed to array(*)

subroutine zdrot (integer n, complex*16, dimension( * ) zx, integer incx,complex*16, dimension( * ) zy, integer incy, double precision c, doubleprecision s)

ZDROT

Purpose:

Applies a plane rotation, where the cos and sin (c and s) are real
and the vectors cx and cy are complex.
jack dongarra, linpack, 3/11/78.

Parameters

N

N is INTEGER
On entry, N specifies the order of the vectors cx and cy.
N must be at least zero.

ZX

ZX is COMPLEX*16 array, dimension at least
( 1 + ( N - 1 )*abs( INCX ) ).
Before entry, the incremented array ZX must contain the n
element vector cx. On exit, ZX is overwritten by the updated
vector cx.

INCX

INCX is INTEGER
On entry, INCX specifies the increment for the elements of
ZX. INCX must not be zero.

ZY

ZY is COMPLEX*16 array, dimension at least
( 1 + ( N - 1 )*abs( INCY ) ).
Before entry, the incremented array ZY must contain the n
element vector cy. On exit, ZY is overwritten by the updated
vector cy.

INCY

INCY is INTEGER
On entry, INCY specifies the increment for the elements of
ZY. INCY must not be zero.

C

C is DOUBLE PRECISION
On entry, C specifies the cosine, cos.

S

S is DOUBLE PRECISION
On entry, S specifies the sine, sin.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine zrot (integer n, complex*16, dimension( * ) cx, integer incx,complex*16, dimension( * ) cy, integer incy, double precision c,complex*16 s)

ZROT applies a plane rotation with real cosine and complex sine to a pair of complex vectors.

Purpose:

ZROT applies a plane rotation, where the cos (C) is real and the
sin (S) is complex, and the vectors CX and CY are complex.

Parameters

N

N is INTEGER
The number of elements in the vectors CX and CY.

CX

CX is COMPLEX*16 array, dimension (N)
On input, the vector X.
On output, CX is overwritten with C*X + S*Y.

INCX

INCX is INTEGER
The increment between successive values of CX. INCX <> 0.

CY

CY is COMPLEX*16 array, dimension (N)
On input, the vector Y.
On output, CY is overwritten with -CONJG(S)*X + C*Y.

INCY

INCY is INTEGER
The increment between successive values of CY. INCX <> 0.

C

C is DOUBLE PRECISION

S

S is COMPLEX*16
C and S define a rotation
[ C S ]
[ -conjg(S) C ]
where C*C + S*CONJG(S) = 1.0.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Author

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