Trait malachite_base::num::arithmetic::traits::ModSub

pub trait ModSub<RHS = Self, M = Self> {
    type Output;

    // Required method
    fn mod_sub(self, other: RHS, m: M) -> Self::Output;
}

Adds two numbers modulo a third number $m$. The inputs must be already reduced modulo $m$.

Required Associated Types

type Output

Required Methods

fn mod_sub(self, other: RHS, m: M) -> Self::Output

Implementations on Foreign Types

impl ModSub for u8

fn mod_sub(self, other: u8, m: u8) -> u8

Subtracts two numbers modulo a third number $m$. The inputs must be already reduced modulo $m$.

$f(x, y, m) = z$, where $x, y, z < m$ and $x - y \equiv z \mod m$.

Worst-case complexity

Constant time and additional memory.

Panics

Panics if self or other are greater than or equal to m.

Examples

See here.

This is equivalent to nmod_sub from nmod.h, FLINT 2.7.1.

type Output = u8

impl ModSub for u16

fn mod_sub(self, other: u16, m: u16) -> u16

Subtracts two numbers modulo a third number $m$. The inputs must be already reduced modulo $m$.

$f(x, y, m) = z$, where $x, y, z < m$ and $x - y \equiv z \mod m$.

Worst-case complexity

Constant time and additional memory.

Panics

Panics if self or other are greater than or equal to m.

Examples

See here.

This is equivalent to nmod_sub from nmod.h, FLINT 2.7.1.

type Output = u16

impl ModSub for u32

fn mod_sub(self, other: u32, m: u32) -> u32

Subtracts two numbers modulo a third number $m$. The inputs must be already reduced modulo $m$.

$f(x, y, m) = z$, where $x, y, z < m$ and $x - y \equiv z \mod m$.

Worst-case complexity

Constant time and additional memory.

Panics

Panics if self or other are greater than or equal to m.

Examples

See here.

This is equivalent to nmod_sub from nmod.h, FLINT 2.7.1.

type Output = u32

impl ModSub for u64

fn mod_sub(self, other: u64, m: u64) -> u64

Subtracts two numbers modulo a third number $m$. The inputs must be already reduced modulo $m$.

$f(x, y, m) = z$, where $x, y, z < m$ and $x - y \equiv z \mod m$.

Worst-case complexity

Constant time and additional memory.

Panics

Panics if self or other are greater than or equal to m.

Examples

See here.

This is equivalent to nmod_sub from nmod.h, FLINT 2.7.1.

type Output = u64

impl ModSub for u128

fn mod_sub(self, other: u128, m: u128) -> u128

Subtracts two numbers modulo a third number $m$. The inputs must be already reduced modulo $m$.

$f(x, y, m) = z$, where $x, y, z < m$ and $x - y \equiv z \mod m$.

Worst-case complexity

Constant time and additional memory.

Panics

Panics if self or other are greater than or equal to m.

Examples

See here.

This is equivalent to nmod_sub from nmod.h, FLINT 2.7.1.

type Output = u128

impl ModSub for usize

fn mod_sub(self, other: usize, m: usize) -> usize

Subtracts two numbers modulo a third number $m$. The inputs must be already reduced modulo $m$.

$f(x, y, m) = z$, where $x, y, z < m$ and $x - y \equiv z \mod m$.

Worst-case complexity

Constant time and additional memory.

Panics

Panics if self or other are greater than or equal to m.

Examples

See here.

This is equivalent to nmod_sub from nmod.h, FLINT 2.7.1.

type Output = usize

Implementors