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/* origin: FreeBSD /usr/src/lib/msun/src/e_logf.c */
/*
* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
*/
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunPro, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
const LN2_HI: f32 = 6.9313812256e-01; /* 0x3f317180 */
const LN2_LO: f32 = 9.0580006145e-06; /* 0x3717f7d1 */
/* |(log(1+s)-log(1-s))/s - Lg(s)| < 2**-34.24 (~[-4.95e-11, 4.97e-11]). */
const LG1: f32 = 0.66666662693; /* 0xaaaaaa.0p-24*/
const LG2: f32 = 0.40000972152; /* 0xccce13.0p-25 */
const LG3: f32 = 0.28498786688; /* 0x91e9ee.0p-25 */
const LG4: f32 = 0.24279078841; /* 0xf89e26.0p-26 */
#[cfg_attr(all(test, assert_no_panic), no_panic::no_panic)]
pub fn logf(mut x: f32) -> f32 {
let x1p25 = f32::from_bits(0x4c000000); // 0x1p25f === 2 ^ 25
let mut ix = x.to_bits();
let mut k = 0i32;
if (ix < 0x00800000) || ((ix >> 31) != 0) {
/* x < 2**-126 */
if ix << 1 == 0 {
return -1. / (x * x); /* log(+-0)=-inf */
}
if (ix >> 31) != 0 {
return (x - x) / 0.; /* log(-#) = NaN */
}
/* subnormal number, scale up x */
k -= 25;
x *= x1p25;
ix = x.to_bits();
} else if ix >= 0x7f800000 {
return x;
} else if ix == 0x3f800000 {
return 0.;
}
/* reduce x into [sqrt(2)/2, sqrt(2)] */
ix += 0x3f800000 - 0x3f3504f3;
k += ((ix >> 23) as i32) - 0x7f;
ix = (ix & 0x007fffff) + 0x3f3504f3;
x = f32::from_bits(ix);
let f = x - 1.;
let s = f / (2. + f);
let z = s * s;
let w = z * z;
let t1 = w * (LG2 + w * LG4);
let t2 = z * (LG1 + w * LG3);
let r = t2 + t1;
let hfsq = 0.5 * f * f;
let dk = k as f32;
s * (hfsq + r) + dk * LN2_LO - hfsq + f + dk * LN2_HI
}
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