pub trait ModAddMul<Y = Self, Z = Self, M = Self> {
type Output;
// Required method
fn mod_add_mul(self, y: Y, z: Z, m: M) -> Self::Output;
}Expand description
Adds a number and the product of two other numbers, modulo a fourth number $m$. All three inputs must be already reduced modulo $m$.
Required Associated Types§
Required Methods§
fn mod_add_mul(self, y: Y, z: Z, m: M) -> Self::Output
Dyn Compatibility§
This trait is dyn compatible.
In older versions of Rust, dyn compatibility was called "object safety".
Implementations on Foreign Types§
Source§impl ModAddMul for u8
impl ModAddMul for u8
Source§fn mod_add_mul(self, y: u8, z: u8, m: u8) -> u8
fn mod_add_mul(self, y: u8, z: u8, m: u8) -> u8
Adds a number and the product of two other numbers, modulo a fourth number $m$. All three inputs must be already reduced modulo $m$.
$f(x, y, z, m) = w$, where $x, y, z, w < m$ and $x + yz \equiv w \mod m$.
§Worst-case complexity
Constant time and additional memory.
§Panics
Panics if self, y, or z are greater than or equal to m.
§Examples
See here.
type Output = u8
Source§impl ModAddMul for u16
impl ModAddMul for u16
Source§fn mod_add_mul(self, y: u16, z: u16, m: u16) -> u16
fn mod_add_mul(self, y: u16, z: u16, m: u16) -> u16
Adds a number and the product of two other numbers, modulo a fourth number $m$. All three inputs must be already reduced modulo $m$.
$f(x, y, z, m) = w$, where $x, y, z, w < m$ and $x + yz \equiv w \mod m$.
§Worst-case complexity
Constant time and additional memory.
§Panics
Panics if self, y, or z are greater than or equal to m.
§Examples
See here.
type Output = u16
Source§impl ModAddMul for u32
impl ModAddMul for u32
Source§fn mod_add_mul(self, y: u32, z: u32, m: u32) -> u32
fn mod_add_mul(self, y: u32, z: u32, m: u32) -> u32
Adds a number and the product of two other numbers, modulo a fourth number $m$. All three inputs must be already reduced modulo $m$.
$f(x, y, z, m) = w$, where $x, y, z, w < m$ and $x + yz \equiv w \mod m$.
§Worst-case complexity
Constant time and additional memory.
§Panics
Panics if self, y, or z are greater than or equal to m.
§Examples
See here.
type Output = u32
Source§impl ModAddMul for u64
impl ModAddMul for u64
Source§fn mod_add_mul(self, y: u64, z: u64, m: u64) -> u64
fn mod_add_mul(self, y: u64, z: u64, m: u64) -> u64
Adds a number and the product of two other numbers, modulo a fourth number $m$. All three inputs must be already reduced modulo $m$.
$f(x, y, z, m) = w$, where $x, y, z, w < m$ and $x + yz \equiv w \mod m$.
§Worst-case complexity
Constant time and additional memory.
§Panics
Panics if self, y, or z are greater than or equal to m.
§Examples
See here.
type Output = u64
Source§impl ModAddMul for u128
impl ModAddMul for u128
Source§fn mod_add_mul(self, y: u128, z: u128, m: u128) -> u128
fn mod_add_mul(self, y: u128, z: u128, m: u128) -> u128
Adds a number and the product of two other numbers, modulo a fourth number $m$. All three inputs must be already reduced modulo $m$.
$f(x, y, z, m) = w$, where $x, y, z, w < m$ and $x + yz \equiv w \mod m$.
§Worst-case complexity
Constant time and additional memory.
§Panics
Panics if self, y, or z are greater than or equal to m.
§Examples
See here.
type Output = u128
Source§impl ModAddMul for usize
impl ModAddMul for usize
Source§fn mod_add_mul(self, y: usize, z: usize, m: usize) -> usize
fn mod_add_mul(self, y: usize, z: usize, m: usize) -> usize
Adds a number and the product of two other numbers, modulo a fourth number $m$. All three inputs must be already reduced modulo $m$.
$f(x, y, z, m) = w$, where $x, y, z, w < m$ and $x + yz \equiv w \mod m$.
§Worst-case complexity
Constant time and additional memory.
§Panics
Panics if self, y, or z are greater than or equal to m.
§Examples
See here.