clartg.f(3)

📦 version 3.9.0, in centos-stream 9

okay bestie, welcome to the clartg.f(3) page from the LAPACK manual — this is the section-3 glow-up, and yes, we're getting into plane rotations 💅

💖 NAME

clartg.f — that's the name, that's the vibe, periodt ✨

🌸 SYNOPSIS

🧚 Functions/Subroutines

  • subroutine clartg (F, G, CS, SN, R) — CLARTG generates a plane rotation with real cosine and complex sine. iconic behavior, ngl 🦋

🦋 Function/Subroutine Documentation

💫 subroutine clartg (complex F, complex G, real CS, complex SN, complex R)

CLARTG generates a plane rotation with real cosine and complex sine. no cap, that's the whole main-character job 💖

🌟 Purpose

CLARTG generates a plane rotation so that

               [  CS  SN  ]     [ F ]     [ R ]
               [  __      ]  .  [   ]  =  [   ]   where CS**2 + |SN|**2 = 1.
               [ -SN  CS  ]     [ G ]     [ 0 ]

This is a faster version of the BLAS1 routine CROTG, except for the following differences:

  • F and G are unchanged on return.
  • If G=0, then CS=1 and SN=0.
  • If F=0, then CS=0 and SN is chosen so that R is real.
bestie, those differences are the whole lore — don't skip them 🫶

🍓 Parameters

  • F — F is COMPLEX. The first component of vector to be rotated.
  • G — G is COMPLEX. The second component of vector to be rotated.
  • CS — CS is REAL. The cosine of the rotation.
  • SN — SN is COMPLEX. The sine of the rotation.
  • R — R is COMPLEX. The nonzero component of the rotated vector.

👑 Author

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

📅 Date

December 2016 — a whole era, honestly ⭐

🔥 Further Details

3-5-96 — Modified with a new algorithm by W. Kahan and J. Demmel. slay, legends 💜

This version has a few statements commented out for thread safety (machine parameters are computed on each entry). 10 feb 03, SJH.

Definition: Definition at line 105 of file clartg.f.

🎀 Author

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mwah 💋 — this page is LAPACK Version 3.8.0, dated Tue Nov 14 2017, and it's giving clartg.f(3) footer realness, bestie 🫶✨

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