Trait num_traits::ops::mul_add::MulAdd

[+] Show declaration

pub trait MulAdd<A = Self, B = Self> {
    type Output;
    fn mul_add(self, a: A, b: B) -> Self::Output;
}

[−] Expand description

Fused multiply-add. Computes (self * a) + b with only one rounding error, yielding a more accurate result than an unfused multiply-add.

Using mul_add can be more performant than an unfused multiply-add if the target architecture has a dedicated fma CPU instruction.

Note that A and B are Self by default, but this is not mandatory.

Example

use std::f32;

let m = 10.0_f32;
let x = 4.0_f32;
let b = 60.0_f32;

// 100.0
let abs_difference = (m.mul_add(x, b) - (m*x + b)).abs();

assert!(abs_difference <= 100.0 * f32::EPSILON);

Associated Types

type Output[−]

The resulting type after applying the fused multiply-add.

Required methods

fn mul_add(self, a: A, b: B) -> Self::Output[−]

Performs the fused multiply-add operation.

Implementors

impl MulAdd<i128, i128> for i128[+]

[+] Show hidden undocumented items

type Output = Self

fn mul_add(self, a: Self, b: Self) -> Self::Output

impl MulAdd<i16, i16> for i16[+]

[+] Show hidden undocumented items

type Output = Self

fn mul_add(self, a: Self, b: Self) -> Self::Output

impl MulAdd<i32, i32> for i32[+]

[+] Show hidden undocumented items

type Output = Self

fn mul_add(self, a: Self, b: Self) -> Self::Output

impl MulAdd<i64, i64> for i64[+]

[+] Show hidden undocumented items

type Output = Self

fn mul_add(self, a: Self, b: Self) -> Self::Output

impl MulAdd<i8, i8> for i8[+]

[+] Show hidden undocumented items

type Output = Self

fn mul_add(self, a: Self, b: Self) -> Self::Output

impl MulAdd<isize, isize> for isize[+]

[+] Show hidden undocumented items

type Output = Self

fn mul_add(self, a: Self, b: Self) -> Self::Output

impl MulAdd<u128, u128> for u128[+]

[+] Show hidden undocumented items

type Output = Self

fn mul_add(self, a: Self, b: Self) -> Self::Output

impl MulAdd<u16, u16> for u16[+]

[+] Show hidden undocumented items

type Output = Self

fn mul_add(self, a: Self, b: Self) -> Self::Output

impl MulAdd<u32, u32> for u32[+]

[+] Show hidden undocumented items

type Output = Self

fn mul_add(self, a: Self, b: Self) -> Self::Output

impl MulAdd<u64, u64> for u64[+]

[+] Show hidden undocumented items

type Output = Self

fn mul_add(self, a: Self, b: Self) -> Self::Output

impl MulAdd<u8, u8> for u8[+]

[+] Show hidden undocumented items

type Output = Self

fn mul_add(self, a: Self, b: Self) -> Self::Output

impl MulAdd<usize, usize> for usize[+]

[+] Show hidden undocumented items

type Output = Self

fn mul_add(self, a: Self, b: Self) -> Self::Output

impl<T: Clone + Num + MulAdd<Output = T>> MulAdd<Complex<T>, Complex<T>> for Complex<T>

impl<'a, 'b, T: Clone + Num + MulAdd<Output = T>> MulAdd<&'b Complex<T>, &'a Complex<T>> for &'a Complex<T>