malachite-float 0.11.0

The arbitrary-precision floating-point type Float, with efficient algorithms partially derived from MPFR.
Documentation 
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// Copyright © 2026 Mikhail Hogrefe
//
// This file is part of Malachite.
//
// Malachite is free software: you can redistribute it and/or modify it under the terms of the GNU
// Lesser General Public License (LGPL) as published by the Free Software Foundation; either version
// 3 of the License, or (at your option) any later version. See <https://www.gnu.org/licenses/>.

use crate::test_util::common::rug_float_significant_bits;
use malachite_base::num::conversion::traits::ExactFrom;
use rug::float::Round;
use rug::ops::AssignRound;
use std::cmp::{Ordering, max};

pub fn rug_rem_prec_round(
    x: &rug::Float,
    y: &rug::Float,
    prec: u64,
    rm: Round,
) -> (rug::Float, Ordering) {
    let mut rem = rug::Float::with_val(u32::exact_from(prec), 0);
    let o = rem.assign_round(x % y, rm);
    (rem, o)
}

#[inline]
pub fn rug_rem_round(x: &rug::Float, y: &rug::Float, rm: Round) -> (rug::Float, Ordering) {
    rug_rem_prec_round(
        x,
        y,
        max(rug_float_significant_bits(x), rug_float_significant_bits(y)),
        rm,
    )
}

#[inline]
pub fn rug_rem_prec(x: &rug::Float, y: &rug::Float, prec: u64) -> (rug::Float, Ordering) {
    rug_rem_prec_round(x, y, prec, Round::Nearest)
}

pub fn rug_rem(x: &rug::Float, y: &rug::Float) -> rug::Float {
    rug_rem_prec_round(
        x,
        y,
        max(rug_float_significant_bits(x), rug_float_significant_bits(y)),
        Round::Nearest,
    )
    .0
}

pub fn rug_ieee_remainder_prec_round(
    x: &rug::Float,
    y: &rug::Float,
    prec: u64,
    rm: Round,
) -> (rug::Float, Ordering) {
    let mut rem = rug::Float::with_val(u32::exact_from(prec), 0);
    let o = rem.assign_round(x.remainder_ref(y), rm);
    (rem, o)
}

#[inline]
pub fn rug_ieee_remainder_round(
    x: &rug::Float,
    y: &rug::Float,
    rm: Round,
) -> (rug::Float, Ordering) {
    rug_ieee_remainder_prec_round(
        x,
        y,
        max(rug_float_significant_bits(x), rug_float_significant_bits(y)),
        rm,
    )
}

#[inline]
pub fn rug_ieee_remainder_prec(
    x: &rug::Float,
    y: &rug::Float,
    prec: u64,
) -> (rug::Float, Ordering) {
    rug_ieee_remainder_prec_round(x, y, prec, Round::Nearest)
}

pub fn rug_ieee_remainder(x: &rug::Float, y: &rug::Float) -> rug::Float {
    rug_ieee_remainder_prec_round(
        x,
        y,
        max(rug_float_significant_bits(x), rug_float_significant_bits(y)),
        Round::Nearest,
    )
    .0
}