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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-07 19:33:14 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-07 19:33:14 +0000
commit36d22d82aa202bb199967e9512281e9a53db42c9 (patch)
tree105e8c98ddea1c1e4784a60a5a6410fa416be2de /third_party/rust/num-traits/src/ops/mul_add.rs
parentInitial commit. (diff)
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Adding upstream version 115.7.0esr.upstream/115.7.0esr
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'third_party/rust/num-traits/src/ops/mul_add.rs')
-rw-r--r--third_party/rust/num-traits/src/ops/mul_add.rs151
1 files changed, 151 insertions, 0 deletions
diff --git a/third_party/rust/num-traits/src/ops/mul_add.rs b/third_party/rust/num-traits/src/ops/mul_add.rs
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+/// 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);
+/// ```
+pub trait MulAdd<A = Self, B = Self> {
+ /// The resulting type after applying the fused multiply-add.
+ type Output;
+
+ /// Performs the fused multiply-add operation.
+ fn mul_add(self, a: A, b: B) -> Self::Output;
+}
+
+/// The fused multiply-add assignment operation.
+pub trait MulAddAssign<A = Self, B = Self> {
+ /// Performs the fused multiply-add operation.
+ fn mul_add_assign(&mut self, a: A, b: B);
+}
+
+#[cfg(any(feature = "std", feature = "libm"))]
+impl MulAdd<f32, f32> for f32 {
+ type Output = Self;
+
+ #[inline]
+ fn mul_add(self, a: Self, b: Self) -> Self::Output {
+ <Self as ::Float>::mul_add(self, a, b)
+ }
+}
+
+#[cfg(any(feature = "std", feature = "libm"))]
+impl MulAdd<f64, f64> for f64 {
+ type Output = Self;
+
+ #[inline]
+ fn mul_add(self, a: Self, b: Self) -> Self::Output {
+ <Self as ::Float>::mul_add(self, a, b)
+ }
+}
+
+macro_rules! mul_add_impl {
+ ($trait_name:ident for $($t:ty)*) => {$(
+ impl $trait_name for $t {
+ type Output = Self;
+
+ #[inline]
+ fn mul_add(self, a: Self, b: Self) -> Self::Output {
+ (self * a) + b
+ }
+ }
+ )*}
+}
+
+mul_add_impl!(MulAdd for isize usize i8 u8 i16 u16 i32 u32 i64 u64);
+#[cfg(has_i128)]
+mul_add_impl!(MulAdd for i128 u128);
+
+#[cfg(any(feature = "std", feature = "libm"))]
+impl MulAddAssign<f32, f32> for f32 {
+ #[inline]
+ fn mul_add_assign(&mut self, a: Self, b: Self) {
+ *self = <Self as ::Float>::mul_add(*self, a, b)
+ }
+}
+
+#[cfg(any(feature = "std", feature = "libm"))]
+impl MulAddAssign<f64, f64> for f64 {
+ #[inline]
+ fn mul_add_assign(&mut self, a: Self, b: Self) {
+ *self = <Self as ::Float>::mul_add(*self, a, b)
+ }
+}
+
+macro_rules! mul_add_assign_impl {
+ ($trait_name:ident for $($t:ty)*) => {$(
+ impl $trait_name for $t {
+ #[inline]
+ fn mul_add_assign(&mut self, a: Self, b: Self) {
+ *self = (*self * a) + b
+ }
+ }
+ )*}
+}
+
+mul_add_assign_impl!(MulAddAssign for isize usize i8 u8 i16 u16 i32 u32 i64 u64);
+#[cfg(has_i128)]
+mul_add_assign_impl!(MulAddAssign for i128 u128);
+
+#[cfg(test)]
+mod tests {
+ use super::*;
+
+ #[test]
+ fn mul_add_integer() {
+ macro_rules! test_mul_add {
+ ($($t:ident)+) => {
+ $(
+ {
+ let m: $t = 2;
+ let x: $t = 3;
+ let b: $t = 4;
+
+ assert_eq!(MulAdd::mul_add(m, x, b), (m*x + b));
+ }
+ )+
+ };
+ }
+
+ test_mul_add!(usize u8 u16 u32 u64 isize i8 i16 i32 i64);
+ }
+
+ #[test]
+ #[cfg(feature = "std")]
+ fn mul_add_float() {
+ macro_rules! test_mul_add {
+ ($($t:ident)+) => {
+ $(
+ {
+ use core::$t;
+
+ let m: $t = 12.0;
+ let x: $t = 3.4;
+ let b: $t = 5.6;
+
+ let abs_difference = (MulAdd::mul_add(m, x, b) - (m*x + b)).abs();
+
+ assert!(abs_difference <= 46.4 * $t::EPSILON);
+ }
+ )+
+ };
+ }
+
+ test_mul_add!(f32 f64);
+ }
+}