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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 ix = x.to_bits(); |
| 11 | + let mut iy = y.to_bits(); |
| 12 | + let mut ex = x.exp().signed(); |
| 13 | + let mut ey = y.exp().signed(); |
| 14 | + let sx = ix & F::SIGN_MASK; |
| 15 | + |
| 16 | + if iy << 1 == zero || y.is_nan() || ex == F::EXP_MAX as i32 { |
| 17 | + return (x * y) / (x * y); |
| 18 | + } |
| 19 | + |
| 20 | + if ix << 1 <= iy << 1 { |
| 21 | + if ix << 1 == iy << 1 { |
| 22 | + return F::ZERO * x; |
| 23 | + } |
| 24 | + return x; |
| 25 | + } |
| 26 | + |
| 27 | + /* normalize x and y */ |
| 28 | + if ex == 0 { |
| 29 | + let i = ix << F::EXP_BITS; |
| 30 | + ex -= i.leading_zeros() as i32; |
| 31 | + ix <<= -ex + 1; |
| 32 | + } else { |
| 33 | + ix &= F::Int::MAX >> F::EXP_BITS; |
| 34 | + ix |= one << F::SIG_BITS; |
| 35 | + } |
| 36 | + |
| 37 | + if ey == 0 { |
| 38 | + let i = iy << F::EXP_BITS; |
| 39 | + ey -= i.leading_zeros() as i32; |
| 40 | + iy <<= -ey + 1; |
| 41 | + } else { |
| 42 | + iy &= F::Int::MAX >> F::EXP_BITS; |
| 43 | + iy |= one << F::SIG_BITS; |
| 44 | + } |
| 45 | + |
| 46 | + /* x mod y */ |
| 47 | + while ex > ey { |
| 48 | + let i = ix.wrapping_sub(iy); |
| 49 | + if i >> (F::BITS - 1) == zero { |
| 50 | + if i == zero { |
| 51 | + return F::ZERO * x; |
| 52 | + } |
| 53 | + ix = i; |
| 54 | + } |
| 55 | + |
| 56 | + ix <<= 1; |
| 57 | + ex -= 1; |
| 58 | + } |
| 59 | + |
| 60 | + let i = ix.wrapping_sub(iy); |
| 61 | + if i >> (F::BITS - 1) == zero { |
| 62 | + if i == zero { |
| 63 | + return F::ZERO * x; |
| 64 | + } |
| 65 | + |
| 66 | + ix = i; |
| 67 | + } |
| 68 | + |
| 69 | + let shift = ix.leading_zeros().saturating_sub(F::EXP_BITS); |
| 70 | + ix <<= shift; |
| 71 | + ex -= shift as i32; |
| 72 | + |
| 73 | + /* scale result */ |
| 74 | + if ex > 0 { |
| 75 | + ix -= one << F::SIG_BITS; |
| 76 | + ix |= F::Int::cast_from(ex) << F::SIG_BITS; |
| 77 | + } else { |
| 78 | + ix >>= -ex + 1; |
| 79 | + } |
| 80 | + |
| 81 | + ix |= sx; |
| 82 | + |
| 83 | + F::from_bits(ix) |
| 84 | +} |
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