SRC/zrot.f(3)

🌸 NAME 🌸

okay so welcome to the SRC/zrot.f(3) page from the Library Functions Manual, bestie. This file is SRC/zrot.f, and it is literally the home of zrot — tiny name, main-character energy. 💅

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✨ SYNOPSIS ✨

💖 Functions/Subroutines 💖

The synopsis is giving:

subroutine zrot (n, cx, incx, cy, incy, c, s)

And the vibe check: ZROT applies a plane rotation with real cosine and complex sine to a pair of complex vectors. periodt. ✨

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🦋 Function/Subroutine Documentation 🦋

Here's the full signature, copied exactly because we do not play with code, no cap:

   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. yup, same energy, same facts. 🫶

🎀 Purpose 🎀

The Purpose block says, verbatim:

!>
!> 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.
!>

So like: real cos, complex sin, complex vectors CX and CY. slay. 🌈

🌟 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.
!>

bestie, that matrix is the moment, and the condition is C*C + S*CONJG(S) = 1.0. — copied exactly, capitalization and all. 💅

👑 Author 👑

The academic icons behind this:

• Univ. of Tennessee
• Univ. of California Berkeley
• Univ. of Colorado Denver
• NAG Ltd.

📍 Definition at line 102 of file zrot.f.

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👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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okay that's the whole page, bestie — the footer vibe is LAPACK Version 3.12.0 and the source/page is SRC/zrot.f(3). bye, slay, no cap 💅✨🎀