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

🌸 NAME

Library Functions Manual energy, but make it cute: this page is INSTALL/test_zcomplexabs.f, bestie. That's the whole NAME section, no cap.

✨ SYNOPSIS

Functions/Subroutines

• program zabs — zabs tests the robustness and precision of the intrinsic ABS for double complex. It's giving "precision girlie pop quiz" for double complex, fr fr. 💅

💖 Function/Subroutine Documentation

🎀 program zabs

zabs tests the robustness and precision of the intrinsic ABS for double complex. Iconic. Obsessed. ✨

💅 Author

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

Here's the literal source comment block, preserved exactly because details are sacred:

           !>
           !> Real values for test:
           !> (1) x = 2**m, where m = MINEXPONENT-DIGITS, ..., MINEXPONENT-1. Stop on the first success.
           !>     Mind that not all platforms might implement subnormal numbers.
           !> (2) x = 2**m, where m = MINEXPONENT, ..., 0. Stop on the first success.
           !> (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. Stop on the first success.
           !>
           !> Tests:
           !> (a) y = x + 0 * I, |y| = x
           !> (b) y = 0 + x * I, |y| = x
           !> (c) y = (3/4)*x + x * I, |y| = (5/4)*x whenever (3/4)*x and (5/4)*x can be exactly stored
           !> (d) y = (1/2)*x + (1/2)*x * I, |y| = (1/2)*x*sqrt(2) whenever (1/2)*x can be exactly stored
           !>
           !> Special cases:
           !>
           !> (i) Inf propagation
           !>    (1) y = Inf + 0 * I, |y| is Inf.
           !>    (2) y =-Inf + 0 * I, |y| is Inf.
           !>    (3) y = 0 + Inf * I, |y| is Inf.
           !>    (4) y = 0 - Inf * I, |y| is Inf.
           !>    (5) y = Inf + Inf * I, |y| is Inf.
           !>
           !> (n) NaN propagation
           !>    (1) y = NaN + 0 * I, |y| is NaN.
           !>    (2) y = 0 + NaN * I, |y| is NaN.
           !>    (3) y = NaN + NaN * I, |y| is NaN.
           !>
           !>

Definition at line 44 of file test_zcomplexabs.f. 🌟

🧚 Author

Generated automatically by Doxygen for LAPACK from the source code.

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okay that's the page, bestie 💖 the footer says LAPACK Version 3.12.0 and the page name is INSTALL/te...mplexabs.f(3) — no date is shown in the footer, so I'm not inventing one. Periodt. 🫶