dashu-ratio 0.4.4

A big rational library with good performance
Documentation 
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use core::ops::{Mul, MulAssign};

use dashu_base::Gcd;
use dashu_int::{IBig, UBig};

use crate::{
    helper_macros::{impl_binop_assign_by_taking, impl_binop_with_int, impl_binop_with_macro},
    rbig::{RBig, Relaxed},
    repr::Repr,
};

impl Repr {
    #[inline]
    fn sqr(&self) -> Self {
        Self {
            numerator: self.numerator.sqr().into(),
            denominator: self.denominator.sqr(),
        }
    }

    #[inline]
    fn cubic(&self) -> Self {
        Self {
            numerator: self.numerator.cubic(),
            denominator: self.denominator.cubic(),
        }
    }

    #[inline]
    fn pow(&self, n: usize) -> Self {
        Self {
            numerator: self.numerator.pow(n),
            denominator: self.denominator.pow(n),
        }
    }
}

impl RBig {
    /// Compute the square of the number (`self * self`).
    ///
    /// # Examples
    ///
    /// ```
    /// # use dashu_ratio::RBig;
    /// let a = RBig::from_parts(2.into(), 3u8.into());
    /// let a2 = RBig::from_parts(4.into(), 9u8.into());
    /// assert_eq!(a.sqr(), a2);
    /// ```
    #[inline]
    pub fn sqr(&self) -> Self {
        Self(self.0.sqr())
    }

    /// Compute the cubic of the number (`self * self * self`).
    ///
    /// # Examples
    ///
    /// ```
    /// # use dashu_ratio::RBig;
    /// let a = RBig::from_parts(2.into(), 3u8.into());
    /// let a3 = RBig::from_parts(8.into(), 27u8.into());
    /// assert_eq!(a.cubic(), a3);
    /// ```
    #[inline]
    pub fn cubic(&self) -> Self {
        Self(self.0.cubic())
    }

    /// Raise this number to a power of `n`.
    ///
    /// # Examples
    ///
    /// ```
    /// # use dashu_ratio::RBig;
    /// let a = RBig::from_parts(2.into(), 3u8.into());
    /// let a5 = RBig::from_parts(32.into(), 243u8.into());
    /// assert_eq!(a.pow(5), a5);
    /// ```
    #[inline]
    pub fn pow(&self, n: usize) -> Self {
        Self(self.0.pow(n))
    }
}

macro_rules! impl_mul_with_rbig {
    (
        $a:ident, $b:ident, $c:ident, $d:ident,
        $ra:ident, $rb:ident, $rc:ident, $rd:ident, $method:ident
    ) => {{
        // a/b * c/d = (ac)/gcd(a,d)/gcd(b,c)/(bd)
        let g_ad = $ra.gcd($rd);
        let g_bc = $rb.gcd($rc);
        RBig(Repr {
            numerator: ($a / &g_ad).$method($c / &g_bc),
            denominator: ($b / g_bc).$method($d / g_ad),
        })
    }};
}

impl_binop_with_macro!(impl Mul, mul, impl_mul_with_rbig);
impl_binop_assign_by_taking!(impl MulAssign for RBig, mul_assign, mul);

impl Relaxed {
    /// Compute the square of the number (`self * self`).
    ///
    /// See [RBig::sqr] for details.
    #[inline]
    pub fn sqr(&self) -> Self {
        Self(self.0.sqr())
    }

    /// Compute the cubic of the number (`self * self * self`).
    ///
    /// See [RBig::cubic] for details.
    #[inline]
    pub fn cubic(&self) -> Self {
        Self(self.0.cubic())
    }

    /// Raise this number to a power of `n`.
    ///
    /// See [RBig::pow] for details.
    #[inline]
    pub fn pow(&self, n: usize) -> Self {
        Self(self.0.pow(n))
    }
}

macro_rules! impl_mul_with_relaxed {
    (
        $a:ident, $b:ident, $c:ident, $d:ident,
        $ra:ident, $rb:ident, $rc:ident, $rd:ident, $method:ident
    ) => {{
        let _unused = ($ra, $rb, $rc, $rd);
        Relaxed::from_parts($a.$method($c), $b.$method($d))
    }};
}
impl_binop_with_macro!(impl Mul for Relaxed, mul, impl_mul_with_relaxed);
impl_binop_assign_by_taking!(impl MulAssign for Relaxed, mul_assign, mul);

macro_rules! impl_mul_int_with_rbig {
    (
        $a:ident, $b:ident, $i:ident,
        $ra:ident, $rb:ident, $ri:ident, $method:ident
    ) => {{
        let _unused = ($ra, $rb, $ri);
        let g = $rb.gcd($ri);
        RBig(Repr {
            numerator: $a.$method($i / &g),
            denominator: $b / g,
        })
    }};
}
impl_binop_with_int!(impl Mul<UBig>, mul, impl_mul_int_with_rbig);
impl_binop_with_int!(impl Mul<IBig>, mul, impl_mul_int_with_rbig);
impl_binop_with_int!(impl Mul for UBig, mul, impl_mul_int_with_rbig);
impl_binop_with_int!(impl Mul for IBig, mul, impl_mul_int_with_rbig);

macro_rules! impl_mul_int_with_relaxed {
    (
        $a:ident, $b:ident, $i:ident,
        $ra:ident, $rb:ident, $ri:ident, $method:ident
    ) => {{
        let _unused = ($ra, $rb, $ri);
        Relaxed::from_parts($a.$method($i), $b)
    }};
}
impl_binop_with_int!(impl Mul<UBig>, mul, Relaxed, impl_mul_int_with_relaxed);
impl_binop_with_int!(impl Mul<IBig>, mul, Relaxed, impl_mul_int_with_relaxed);
impl_binop_with_int!(impl Mul for UBig, mul, Relaxed, impl_mul_int_with_relaxed);
impl_binop_with_int!(impl Mul for IBig, mul, Relaxed, impl_mul_int_with_relaxed);