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Diffstat (limited to 'vendor/libm-0.1.4/src/math/expf.rs')
-rw-r--r-- | vendor/libm-0.1.4/src/math/expf.rs | 102 |
1 files changed, 102 insertions, 0 deletions
diff --git a/vendor/libm-0.1.4/src/math/expf.rs b/vendor/libm-0.1.4/src/math/expf.rs new file mode 100644 index 000000000..09323ec8d --- /dev/null +++ b/vendor/libm-0.1.4/src/math/expf.rs @@ -0,0 +1,102 @@ +/* origin: FreeBSD /usr/src/lib/msun/src/e_expf.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. + * ==================================================== + */ + +use super::scalbnf; + +const HALF: [f32; 2] = [0.5, -0.5]; +const LN2_HI: f32 = 6.9314575195e-01; /* 0x3f317200 */ +const LN2_LO: f32 = 1.4286067653e-06; /* 0x35bfbe8e */ +const INV_LN2: f32 = 1.4426950216e+00; /* 0x3fb8aa3b */ +/* + * Domain [-0.34568, 0.34568], range ~[-4.278e-9, 4.447e-9]: + * |x*(exp(x)+1)/(exp(x)-1) - p(x)| < 2**-27.74 + */ +const P1: f32 = 1.6666625440e-1; /* 0xaaaa8f.0p-26 */ +const P2: f32 = -2.7667332906e-3; /* -0xb55215.0p-32 */ + +/// Exponential, base *e* (f32) +/// +/// Calculate the exponential of `x`, that is, *e* raised to the power `x` +/// (where *e* is the base of the natural system of logarithms, approximately 2.71828). +#[inline] +#[cfg_attr(all(test, assert_no_panic), no_panic::no_panic)] +pub fn expf(mut x: f32) -> f32 { + let x1p127 = f32::from_bits(0x7f000000); // 0x1p127f === 2 ^ 127 + let x1p_126 = f32::from_bits(0x800000); // 0x1p-126f === 2 ^ -126 /*original 0x1p-149f ??????????? */ + let mut hx = x.to_bits(); + let sign = (hx >> 31) as i32; /* sign bit of x */ + let signb: bool = sign != 0; + hx &= 0x7fffffff; /* high word of |x| */ + + /* special cases */ + if hx >= 0x42aeac50 { + /* if |x| >= -87.33655f or NaN */ + if hx > 0x7f800000 { + /* NaN */ + return x; + } + if (hx >= 0x42b17218) && (!signb) { + /* x >= 88.722839f */ + /* overflow */ + x *= x1p127; + return x; + } + if signb { + /* underflow */ + force_eval!(-x1p_126 / x); + if hx >= 0x42cff1b5 { + /* x <= -103.972084f */ + return 0.; + } + } + } + + /* argument reduction */ + let k: i32; + let hi: f32; + let lo: f32; + if hx > 0x3eb17218 { + /* if |x| > 0.5 ln2 */ + if hx > 0x3f851592 { + /* if |x| > 1.5 ln2 */ + k = (INV_LN2 * x + HALF[sign as usize]) as i32; + } else { + k = 1 - sign - sign; + } + let kf = k as f32; + hi = x - kf * LN2_HI; /* k*ln2hi is exact here */ + lo = kf * LN2_LO; + x = hi - lo; + } else if hx > 0x39000000 { + /* |x| > 2**-14 */ + k = 0; + hi = x; + lo = 0.; + } else { + /* raise inexact */ + force_eval!(x1p127 + x); + return 1. + x; + } + + /* x is now in primary range */ + let xx = x * x; + let c = x - xx * (P1 + xx * P2); + let y = 1. + (x * c / (2. - c) - lo + hi); + if k == 0 { + y + } else { + scalbnf(y, k) + } +} |