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| 1 | +/* SPDX-License-Identifier: MIT */ |
| 2 | +/* origin: musl src/math/fmod.c. Ported to generic Rust algorithm in 2025, TG. */ |
| 3 | + |
| 4 | +use super::super::{CastFrom, Float, Int, MinInt}; |
| 5 | + |
| 6 | +#[cfg_attr(all(test, assert_no_panic), no_panic::no_panic)] |
| 7 | +pub fn fmod<F: Float>(x: F, y: F) -> F { |
| 8 | + let zero = F::Int::ZERO; |
| 9 | + let one = F::Int::ONE; |
| 10 | + let mut uxi = x.to_bits(); |
| 11 | + let mut uyi = y.to_bits(); |
| 12 | + let mut ex = x.exp().signed(); |
| 13 | + let mut ey = y.exp().signed(); |
| 14 | + let sx = uxi >> (F::BITS - 1); |
| 15 | + let mut i; |
| 16 | + |
| 17 | + if uyi << 1 == zero || y.is_nan() || ex == F::EXP_MAX as i32 { |
| 18 | + return (x * y) / (x * y); |
| 19 | + } |
| 20 | + |
| 21 | + if uxi << 1 <= uyi << 1 { |
| 22 | + if uxi << 1 == uyi << 1 { |
| 23 | + return F::ZERO * x; |
| 24 | + } |
| 25 | + return x; |
| 26 | + } |
| 27 | + |
| 28 | + /* normalize x and y */ |
| 29 | + if ex == 0 { |
| 30 | + i = uxi << F::EXP_BITS; |
| 31 | + |
| 32 | + while i >> (F::BITS - 1) == zero { |
| 33 | + ex -= 1; |
| 34 | + i <<= 1; |
| 35 | + } |
| 36 | + |
| 37 | + uxi <<= -ex + 1; |
| 38 | + } else { |
| 39 | + uxi &= F::Int::MAX >> F::EXP_BITS; |
| 40 | + uxi |= one << F::SIG_BITS; |
| 41 | + } |
| 42 | + |
| 43 | + if ey == 0 { |
| 44 | + i = uyi << F::EXP_BITS; |
| 45 | + |
| 46 | + while i >> (F::BITS - 1) == zero { |
| 47 | + ey -= 1; |
| 48 | + i <<= 1; |
| 49 | + } |
| 50 | + |
| 51 | + uyi <<= -ey + 1; |
| 52 | + } else { |
| 53 | + uyi &= F::Int::MAX >> F::EXP_BITS; |
| 54 | + uyi |= one << F::SIG_BITS; |
| 55 | + } |
| 56 | + |
| 57 | + /* x mod y */ |
| 58 | + while ex > ey { |
| 59 | + i = uxi.wrapping_sub(uyi); |
| 60 | + if i >> (F::BITS - 1) == zero { |
| 61 | + if i == zero { |
| 62 | + return F::ZERO * x; |
| 63 | + } |
| 64 | + uxi = i; |
| 65 | + } |
| 66 | + |
| 67 | + uxi <<= 1; |
| 68 | + ex -= 1; |
| 69 | + } |
| 70 | + |
| 71 | + i = uxi.wrapping_sub(uyi); |
| 72 | + if i >> (F::BITS - 1) == zero { |
| 73 | + if i == zero { |
| 74 | + return F::ZERO * x; |
| 75 | + } |
| 76 | + |
| 77 | + uxi = i; |
| 78 | + } |
| 79 | + |
| 80 | + while uxi >> F::SIG_BITS == zero { |
| 81 | + uxi <<= 1; |
| 82 | + ex -= 1; |
| 83 | + } |
| 84 | + |
| 85 | + /* scale result */ |
| 86 | + if ex > 0 { |
| 87 | + uxi -= one << F::SIG_BITS; |
| 88 | + uxi |= F::Int::cast_from(ex) << F::SIG_BITS; |
| 89 | + } else { |
| 90 | + uxi >>= -ex + 1; |
| 91 | + } |
| 92 | + |
| 93 | + uxi |= sx << (F::BITS - 1); |
| 94 | + |
| 95 | + F::from_bits(uxi) |
| 96 | +} |
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