dashu-int 0.6.0-rc.4

Arbitrary-precision integer math library for Rust, balancing ergonomics and efficiency. Provides UBig and IBig (unsigned and signed), with small values inlined on the stack. Efficient arithmetic, modular arithmetic, and number theory (pow, ilog, gcd, gcd_ext); two's-complement bit operations; parsing and formatting in base 2-36; optional serde, rand, num-traits, rkyv, and zeroize.
Documentation 
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//! Implement num-integer traits.

use crate::{ibig::IBig, ubig::UBig};
use dashu_base::{BitTest, CubicRoot, DivRem, ExtendedGcd, Gcd, Sign, SquareRoot};
use num_integer_v01 as num_integer;

impl num_integer::Integer for UBig {
    #[inline]
    fn div_floor(&self, other: &Self) -> Self {
        self / other
    }
    #[inline]
    fn div_rem(&self, other: &Self) -> (Self, Self) {
        DivRem::div_rem(self, other)
    }
    #[inline]
    fn mod_floor(&self, other: &Self) -> Self {
        self & other
    }
    #[inline]
    fn divides(&self, other: &Self) -> bool {
        (self % other).is_zero()
    }
    #[inline]
    fn is_multiple_of(&self, other: &Self) -> bool {
        UBig::is_multiple_of(self, other)
    }
    #[inline]
    fn is_even(&self) -> bool {
        !self.bit(0)
    }
    #[inline]
    fn is_odd(&self) -> bool {
        self.bit(0)
    }
    #[inline]
    fn gcd(&self, other: &Self) -> Self {
        Gcd::gcd(self, other)
    }
    #[inline]
    fn lcm(&self, other: &Self) -> Self {
        if self.is_zero() && other.is_zero() {
            UBig::ZERO
        } else {
            self / Gcd::gcd(self, other) * other
        }
    }
    #[inline]
    fn extended_gcd(&self, other: &Self) -> num_integer::ExtendedGcd<Self> {
        let (g, x, y) = ExtendedGcd::gcd_ext(self, other);
        num_integer::ExtendedGcd {
            gcd: g,
            x: x.try_into().unwrap(),
            y: y.try_into().unwrap(),
        }
    }
}

impl num_integer::Roots for UBig {
    #[inline]
    fn sqrt(&self) -> Self {
        SquareRoot::sqrt(self)
    }
    #[inline]
    fn cbrt(&self) -> Self {
        CubicRoot::cbrt(self)
    }
    #[inline]
    fn nth_root(&self, n: u32) -> Self {
        self.nth_root(n as usize)
    }
}

impl num_integer::Integer for IBig {
    #[inline]
    fn div_floor(&self, other: &Self) -> Self {
        let (q, r) = DivRem::div_rem(self, other);
        if !r.is_zero() && q.sign() == Sign::Negative {
            q - IBig::ONE
        } else {
            q
        }
    }
    #[inline]
    fn div_rem(&self, other: &Self) -> (Self, Self) {
        DivRem::div_rem(self, other)
    }
    #[inline]
    fn mod_floor(&self, other: &Self) -> Self {
        let r = self % other;
        if !r.is_zero() && self.sign() * other.sign() == Sign::Negative {
            other + r
        } else {
            r
        }
    }
    #[inline]
    fn divides(&self, other: &Self) -> bool {
        (self % other).is_zero()
    }
    #[inline]
    fn is_multiple_of(&self, other: &Self) -> bool {
        IBig::is_multiple_of(self, other)
    }
    #[inline]
    fn is_even(&self) -> bool {
        (self & IBig::ONE).is_zero()
    }
    #[inline]
    fn is_odd(&self) -> bool {
        (self & IBig::ONE).is_one()
    }
    #[inline]
    fn gcd(&self, other: &Self) -> Self {
        Gcd::gcd(self, other).into()
    }
    #[inline]
    fn lcm(&self, other: &Self) -> Self {
        if self.is_zero() && other.is_zero() {
            IBig::ZERO
        } else {
            self / Gcd::gcd(self, other) * other
        }
    }
    #[inline]
    fn extended_gcd(&self, other: &Self) -> num_integer::ExtendedGcd<Self> {
        let (g, x, y) = ExtendedGcd::gcd_ext(self, other);
        num_integer::ExtendedGcd {
            gcd: g.into(),
            x,
            y,
        }
    }
}

impl num_integer::Roots for IBig {
    #[inline]
    fn sqrt(&self) -> Self {
        SquareRoot::sqrt(self).into()
    }
    #[inline]
    fn cbrt(&self) -> Self {
        CubicRoot::cbrt(self)
    }
    #[inline]
    fn nth_root(&self, n: u32) -> Self {
        self.nth_root(n as usize)
    }
}