INSTALL/te...mplexdiv.f(3)

📦
version 3.12.1 · 3 versions
, in arch rolling

✨ NAME ✨

okay so this page is from the INSTALL/te...mplexdiv.f(3) manual — LAPACK's Library Functions Manual, to be exact — and the star of the show is INSTALL/test_zcomplexdiv.f. bestie, we're looking at the zdiv test program and it is lowkey iconic 💅.

🎀 SYNOPSIS 🎀

🌸 Functions/Subroutines 🌸

  • program zdiv — zdiv tests the robustness and precision of the double complex division. yes, she's testing math drama on purpose 🔥.

🦋 Function/Subroutine Documentation 🦋

💜 program zdiv 💜

zdiv tests the robustness and precision of the double complex division. it's giving "trust me bestie, I need to know if this division situation is robust and precise" energy 😭✨.

👑 Author 👑

Weslley S. Pereira, University of Colorado Denver, U.S.

here's the whole test tea, preserved exactly because we do not gatekeep the details 🫶:

!>
!> Real values for test:
!> (1) x = 2**m, where m = MINEXPONENT-DIGITS, ..., MINEXPONENT-1.
!>     Mind that not all platforms might implement subnormal numbers.
!> (2) x = 2**m, where m = MINEXPONENT, ..., 0.
!> (3) x = OV, where OV is the overflow threshold. OV^2 overflows but the norm is OV.
!> (4) x = 2**m, where m = MAXEXPONENT-1, ..., 1.
!>
!> Tests:
!> (a) y = x + 0 * I, y/y = 1
!> (b) y = 0 + x * I, y/y = 1
!> (c) y = x + x * I, y/y = 1
!> (d) y1 = 0 + x * I, y2 = x + 0 * I, y1/y2 = I
!> (e) y1 = 0 + x * I, y2 = x + 0 * I, y2/y1 = -I
!> (f) y = x + x * I, y/conj(y) = I
!>
!> Special cases:
!>
!> (i) Inf inputs:
!>    (1) y = ( Inf + 0   * I)
!>    (2) y = ( 0   + Inf * I)
!>    (3) y = (-Inf + 0   * I)
!>    (4) y = ( 0   - Inf * I)
!>    (5) y = ( Inf + Inf * I)
!> Tests:
!>    (a) 0 / y is either 0 or NaN.
!>    (b) 1 / y is either 0 or NaN.
!>    (c) y / y is NaN.
!>
!> (n) NaN inputs:
!>    (1) y = (NaN + 0   * I)
!>    (2) y = (0   + NaN * I)
!>    (3) y = (NaN + NaN * I)
!> Tests:
!>    (a) 0 / y is NaN.
!>    (b) 1 / y is NaN.
!>    (c) y / y is NaN.
!>
!>
Definition at line 57 of file test_zcomplexdiv.f.

💫 Author 💫

Generated automatically by Doxygen for LAPACK from the source code.

mwah 💋 — from LAPACK Version 3.12.0, on the INSTALL/te...mplexdiv.f(3) page. that's the footer tea, bestie 🫶✨

📦 where this page comes from