CLQT04(3)

🎀 CLQT04(3) — like, the whole entire manual, bestie 🎀

okay so this is a page from Library Functions Manual — yes the manual name is literally /home/abui...IN/clqt04.f(3), it's giving "truncated path core" and honestly? iconic 💅. it's a Fortran file from LAPACK, it lives in TESTING/LIN, and it's the testing routine that vibe-checks the LQ stuff. buckle up 🦋

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✨ NAME ✨

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/clqt04.f

periodt, that's the name, that's the whole path, no notes 💀

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🌸 SYNOPSIS 🌸

Functions/Subroutines

subroutine CLQT04 (m, n, nb, result)
    DLQT04

so like. one subroutine. four args. the subtitle says DLQT04 which is a little gender-nonconforming of it but we move 🫶

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👑 Function/Subroutine Documentation 👑

subroutine CLQT04 (integer m, integer n, integer nb, real, dimension(6) result)
    DLQT04

💖 Purpose:

!>
!> CLQT04 tests CGELQT and CGEMLQT.
!>

that's it. that's the purpose. it tests CGELQT and CGEMLQT and it does it thoroughly — six whole tests, we'll get there 😤

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🌈 Parameters 🌈

• M — !> M is INTEGER — number of rows in the test matrix, fr fr 📏
• N — !> N is INTEGER — number of columns in the test matrix, matching energy ✨
• NB — !> NB is INTEGER — block size of the test matrix, and bestie listen: NB <= Min(M,N). that constraint is not a suggestion, it's a whole boundary condition 🚨
• RESULT — !> RESULT is DOUBLE PRECISION array, dimension (6) — results of each of the six tests below 👇

🧪 the six tests (this is the good part)

!>          RESULT(1) = | A - L Q |
!>          RESULT(2) = | I - Q Q^H |
!>          RESULT(3) = | Q C - Q C |
!>          RESULT(4) = | Q^H C - Q^H C |
!>          RESULT(5) = | C Q - C Q |
!>          RESULT(6) = | C Q^H - C Q^H |

six residuals, six chances to be so close to zero 💀 like the way each of these should be basically nothing if everything slays — that's the whole test. (yes the notations look identical on both sides of the minus, that's exactly what's written, i'm not editing the icon's paperwork 🙈)

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⭐ Author ⭐

the legends themselves:

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

four institutions, one subroutine, main character energy across the board 👑

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🦋 Definition 🦋

Definition at line 72 of file clqt04.f. (yes line 72, go look, it's there 💅)

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💜 Author (the Doxygen one) 💜

Generated automatically by Doxygen for LAPACK from the source code. no human hand-wrote this page, a robot did it, and honestly? she ate 🤖✨

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and that's the whole page! cute little sign-off time: this was LAPACK, Version 3.12.0, from /home/abui...IN/clqt04.f(3) — mwah, see u in the next subroutine bestie 🍓🧚‍♀️💖