CLACRT(3)

🎀 CLACRT(3) 🎀

okay so bestie, quick vibe check: this page is straight out of the Library Functions Manual, and it's the manpage for clacrt.f(3) — yeah, an auto-generated Doxygen situation, we love a machine-made king 👑. Sit down, hydrate, and let me walk you through it 💖

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✨ NAME ✨

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/clacrt.f

bestie the NAME is literally the entire file path 💀 that's what happens when Doxygen generates your docs, it's giving "no thoughts, just path" and honestly? iconic. moving on 🫶

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🌸 SYNOPSIS 🌸

Functions/Subroutines

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

CLACRT performs a linear transformation of a pair of complex vectors. slay ✨

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💜 Function/Subroutine Documentation 💜

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

CLACRT performs a linear transformation of a pair of complex vectors. same girl, fuller signature — now you can see every arg's type at a glance 👑

🦋 Purpose

like, here's the whole thing verbatim because I would never paraphrase math at you:

!>
!> CLACRT performs the operation
!>
!>    (  c  s )( x )  ==> ( x )
!>    ( -s  c )( y )      ( y )
!>
!> where c and s are complex and the vectors x and y are complex.
!>

so it takes your two complex vectors and rotates/mixes them with that cute little 2x2 matrix. it's giving linear algebra glow-up 💅

🍓 Parameters

• N — N is INTEGER. The number of elements in the vectors CX and CY. like, how many besties are in the group chat 💖

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

• CX — CX is COMPLEX array, dimension (N). On input it's the vector x; on output, CX is overwritten with c*x + s*y. it literally reinvents itself, main character energy 🔥

!>          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. and listen: INCX <> 0. that's not a suggestion, bestie, that's a rule 🚨

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

• CY — CY is COMPLEX array, dimension (N). On input it's the vector y; on output, CY is overwritten with -s*x + c*y. notice the minus sign, don't lose it, that's the whole plot twist 😭

!>          CY is COMPLEX array, dimension (N)
!>          On input, the vector y.
!>          On output, CY is overwritten with -s*x + c*y.

• INCY — INCY is INTEGER. The increment between successive values of CY. also INCY <> 0, same energy, same rule 💀

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

• C — C is COMPLEX. one half of the transformation duo 🫶

!>          C is COMPLEX

• S — S is COMPLEX. and here's the combo meal — C and S define the matrix:

!>          S is COMPLEX
!>          C and S define the matrix
!>             [  C   S  ].
!>             [ -S   C  ]

look at that matrix. symmetric-ish, complex, adorable. she ate 🌈

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🌟 Author 🌟

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

and per the docs: Definition at line 104 of file clacrt.f. 📍 a whole little address for your girl, iykyk.

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👑 Author (the Doxygen one) 👑

Generated automatically by Doxygen for LAPACK from the source code. like, no human wrote this page, a robot did, and she still served ✨🤖

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ok so real quick — this page is auto-generated from the source, so the "documentation" is a pile of !> comment lines reproduced faithfully. I kept every one of them exactly as-is because that's the assignment, bestie. no cap 🎀

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and that's the whole page, fr fr 💜 huge thank you to LAPACK, Version 3.12.0, and shoutout to /home/abui...RC/clacrt.f(3) — you did that, toodles bestie, go call CLACRT responsibly 💅🦋🌸