lacrt(3)

📦
version 3.12.1 · 9 versions
, in arch rolling

💅 lacrt(3) — apply plane rotation (unused?)

ok so bestie, welcome to lacrt from the Library Functions Manual — this is the manpage for the lacrt family, and honestly the title itself is asking the real questions: apply plane rotation (unused?) 😭 the manpage said what it said.

It's giving "legendary LAPACK routine that nobody calls anymore," and yet she's still here, still documented, still slaying in clacrt.f and zlacrt.f. Periodt.

✨ SYNOPSIS ✨

🫶 Functions

  • subroutine clacrt (n, cx, incx, cy, incy, c, s) — CLACRT performs a linear transformation of a pair of complex vectors.
  • subroutine zlacrt (n, cx, incx, cy, incy, c, s) — ZLACRT performs a linear transformation of a pair of complex vectors.

🌸 Detailed Description 🌸

so bestie… there's literally nothing here 😭 the section exists, the section is empty, she's a vibe and nothing else. moving on! 💅

👑 Function 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.

🦋 Purpose:

!>
!> 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.
!>

like, she's a 2×2 rotation matrix and she's applying herself to your vectors. iconic behavior honestly ✨

🎀 Parameters

  • N — N is INTEGER. The number of elements in the vectors CX and CY. no cap, that's just how many she's rotating 🫶
  • CX — CX is COMPLEX array, dimension (N). On input, the vector x. On output, CX is overwritten with c*x + s*y. she comes in as x and leaves as a whole new woman 💅
  • INCX — INCX is INTEGER. The increment between successive values of CX. INCX <> 0. (yes, non-zero, she said what she said 💀)
  • CY — CY is COMPLEX array, dimension (N). On input, the vector y. On output, CY is overwritten with -s*x + c*y. glow-up complete, king 👑
  • INCY — INCY is INTEGER. The increment between successive values of CY. INCY <> 0. same energy, also not zero 🧚
  • C — C is COMPLEX. one half of the iconic duo 💜
  • S — S is COMPLEX. C and S define the matrix
   [  C   S  ].
   [ -S   C  ]

🌈 Author

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

Definition at line 104 of file clacrt.f. 📍

⭐ subroutine zlacrt (integer n, complex*16, dimension( * ) cx, integer incx, complex*16, dimension( * ) cy, integer incy, complex*16 c, complex*16 s)

ZLACRT performs a linear transformation of a pair of complex vectors.

🦋 Purpose:

!>
!> ZLACRT 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.
!>

same rotation, but make it double precision COMPLEX*16 💅 she's the Z variant and she knows it.

🎀 Parameters

  • N — N is INTEGER. The number of elements in the vectors CX and CY. counting things, as always 🫶
  • CX — CX is COMPLEX*16 array, dimension (N). On input, the vector x. On output, CX is overwritten with c*x + s*y. in goes x, out comes the transformation ✨
  • INCX — INCX is INTEGER. The increment between successive values of CX. INCX <> 0. not zero, bestie, never zero 🙈
  • CY — CY is COMPLEX*16 array, dimension (N). On input, the vector y. On output, CY is overwritten with -s*x + c*y. bye y, hello -s*x + c*y 😭
  • INCY — INCY is INTEGER. The increment between successive values of CY. INCY <> 0. same rule, same energy ⭐
  • C — C is COMPLEX*16. main character of the matrix 💜
  • S — S is COMPLEX*16. C and S define the matrix
   [  C   S  ].
   [ -S   C  ]

🌈 Author

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

Definition at line 104 of file zlacrt.f. 📍

💖 Author 💖

Generated automatically by Doxygen for LAPACK from the source code.

like yeah, a robot wrote this one, and she still ate 🔥

ok bye bestie, this page came to you courtesy of LAPACK, Version 3.12.0 🌈 — she's old, she's iconic, she's probably unused, and she's still serving. mwah 💋🎀

📦 where this page comes from