pub trait MulAdd<A = Self, B = Self> {
    type Output;

    // Required method
    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);

Required Associated Types§

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type Output

The resulting type after applying the fused multiply-add.

Required Methods§

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

Performs the fused multiply-add operation (self * a) + b

Implementations on Foreign Types§

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impl MulAdd<u128, u128> for u128

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type Output = u128

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

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impl MulAdd<i8, i8> for i8

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type Output = i8

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

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impl MulAdd<u8, u8> for u8

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type Output = u8

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

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impl MulAdd<i16, i16> for i16

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type Output = i16

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

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impl MulAdd<i64, i64> for i64

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type Output = i64

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

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impl MulAdd<u64, u64> for u64

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type Output = u64

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

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impl MulAdd<i32, i32> for i32

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type Output = i32

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

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impl MulAdd<usize, usize> for usize

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type Output = usize

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

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impl MulAdd<f64, f64> for f64

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type Output = f64

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

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impl MulAdd<f32, f32> for f32

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type Output = f32

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

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impl MulAdd<isize, isize> for isize

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type Output = isize

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

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impl MulAdd<u16, u16> for u16

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type Output = u16

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

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impl MulAdd<u32, u32> for u32

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type Output = u32

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

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impl MulAdd<i128, i128> for i128

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type Output = i128

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

Implementors§