From 9835e2ae736235810b4ea1c162ca5e65c547e770 Mon Sep 17 00:00:00 2001 From: Daniel Baumann Date: Sat, 18 May 2024 04:49:50 +0200 Subject: Merging upstream version 1.71.1+dfsg1. Signed-off-by: Daniel Baumann --- vendor/libm-0.1.4/src/math/log2.rs | 107 +++++++++++++++++++++++++++++++++++++ 1 file changed, 107 insertions(+) create mode 100644 vendor/libm-0.1.4/src/math/log2.rs (limited to 'vendor/libm-0.1.4/src/math/log2.rs') diff --git a/vendor/libm-0.1.4/src/math/log2.rs b/vendor/libm-0.1.4/src/math/log2.rs new file mode 100644 index 000000000..a3d43e55c --- /dev/null +++ b/vendor/libm-0.1.4/src/math/log2.rs @@ -0,0 +1,107 @@ +/* origin: FreeBSD /usr/src/lib/msun/src/e_log2.c */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ +/* + * Return the base 2 logarithm of x. See log.c for most comments. + * + * Reduce x to 2^k (1+f) and calculate r = log(1+f) - f + f*f/2 + * as in log.c, then combine and scale in extra precision: + * log2(x) = (f - f*f/2 + r)/log(2) + k + */ + +use core::f64; + +const IVLN2HI: f64 = 1.44269504072144627571e+00; /* 0x3ff71547, 0x65200000 */ +const IVLN2LO: f64 = 1.67517131648865118353e-10; /* 0x3de705fc, 0x2eefa200 */ +const LG1: f64 = 6.666666666666735130e-01; /* 3FE55555 55555593 */ +const LG2: f64 = 3.999999999940941908e-01; /* 3FD99999 9997FA04 */ +const LG3: f64 = 2.857142874366239149e-01; /* 3FD24924 94229359 */ +const LG4: f64 = 2.222219843214978396e-01; /* 3FCC71C5 1D8E78AF */ +const LG5: f64 = 1.818357216161805012e-01; /* 3FC74664 96CB03DE */ +const LG6: f64 = 1.531383769920937332e-01; /* 3FC39A09 D078C69F */ +const LG7: f64 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ + +#[inline] +#[cfg_attr(all(test, assert_no_panic), no_panic::no_panic)] +pub fn log2(mut x: f64) -> f64 { + let x1p54 = f64::from_bits(0x4350000000000000); // 0x1p54 === 2 ^ 54 + + let mut ui: u64 = x.to_bits(); + let hfsq: f64; + let f: f64; + let s: f64; + let z: f64; + let r: f64; + let mut w: f64; + let t1: f64; + let t2: f64; + let y: f64; + let mut hi: f64; + let lo: f64; + let mut val_hi: f64; + let mut val_lo: f64; + let mut hx: u32; + let mut k: i32; + + hx = (ui >> 32) as u32; + k = 0; + if hx < 0x00100000 || (hx >> 31) > 0 { + if ui << 1 == 0 { + return -1. / (x * x); /* log(+-0)=-inf */ + } + if (hx >> 31) > 0 { + return (x - x) / 0.0; /* log(-#) = NaN */ + } + /* subnormal number, scale x up */ + k -= 54; + x *= x1p54; + ui = x.to_bits(); + hx = (ui >> 32) as u32; + } else if hx >= 0x7ff00000 { + return x; + } else if hx == 0x3ff00000 && ui << 32 == 0 { + return 0.; + } + + /* reduce x into [sqrt(2)/2, sqrt(2)] */ + hx += 0x3ff00000 - 0x3fe6a09e; + k += (hx >> 20) as i32 - 0x3ff; + hx = (hx & 0x000fffff) + 0x3fe6a09e; + ui = (hx as u64) << 32 | (ui & 0xffffffff); + x = f64::from_bits(ui); + + f = x - 1.0; + hfsq = 0.5 * f * f; + s = f / (2.0 + f); + z = s * s; + w = z * z; + t1 = w * (LG2 + w * (LG4 + w * LG6)); + t2 = z * (LG1 + w * (LG3 + w * (LG5 + w * LG7))); + r = t2 + t1; + + /* hi+lo = f - hfsq + s*(hfsq+R) ~ log(1+f) */ + hi = f - hfsq; + ui = hi.to_bits(); + ui &= (-1i64 as u64) << 32; + hi = f64::from_bits(ui); + lo = f - hi - hfsq + s * (hfsq + r); + + val_hi = hi * IVLN2HI; + val_lo = (lo + hi) * IVLN2LO + lo * IVLN2HI; + + /* spadd(val_hi, val_lo, y), except for not using double_t: */ + y = k.into(); + w = y + val_hi; + val_lo += (y - w) + val_hi; + val_hi = w; + + val_lo + val_hi +} -- cgit v1.2.3