// Copyright (c) 2018 Jorge Aparicio // Copyright © 2005-2020 Rich Felker, et al. // Copyright © 1993,2004 Sun Microsystems or // Copyright © 2003-2011 David Schultz or // Copyright © 2003-2009 Steven G. Kargl or // Copyright © 2003-2009 Bruce D. Evans or // Copyright © 2008 Stephen L. Moshier or // Copyright © 2017-2018 Arm Limited // SPDX-License-Identifier: MIT // This file is licensed solely under the terms discussed in LICENSE-LIBM-MIT at the crate root. // See the package-level README for full details. // Taken from https://github.com/rust-lang/libm/blob/master/src/math/mod.rs#L1 macro_rules! force_eval { ($e:expr) => { unsafe { ::core::ptr::read_volatile(&$e) } }; } // Taken from https://github.com/rust-lang/libm/blob/libm-v0.2.11/src/math/round.rs pub(crate) fn round(x: f64) -> f64 { trunc(x + copysign(0.5 - 0.25 * f64::EPSILON, x)) } // Adapted from: https://github.com/rust-lang/libm/blob/libm-v0.2.11/src/math/trunc.rs#L8-L12 #[allow(clippy::needless_late_init /*, reason = "The original libm code uses this style" */)] fn trunc(x: f64) -> f64 { let x1p120 = f64::from_bits(0x4770000000000000); // 0x1p120f === 2 ^ 120 let mut i: u64 = x.to_bits(); let mut e: i64 = ((i >> 52) & 0x7ff) as i64 - 0x3ff + 12; let m: u64; if e >= 52 + 12 { return x; } if e < 12 { e = 1; } m = -1i64 as u64 >> e; if (i & m) == 0 { return x; } force_eval!(x + x1p120); i &= !m; f64::from_bits(i) } // Taken from https://github.com/rust-lang/libm/blob/libm-v0.2.11/src/math/copysign.rs fn copysign(x: f64, y: f64) -> f64 { let mut ux = x.to_bits(); let uy = y.to_bits(); ux &= (!0) >> 1; ux |= uy & (1 << 63); f64::from_bits(ux) }