Test of principle using SimdF32<n>::sin()

Author: andy-thomason

crates/core_simd/.vscode/settings.json

@@ -0,0 +1,8 @@
+{
+    "rust-analyzer.checkOnSave.extraArgs": [
+        "+nightly"
+    ],
+    "rust-analyzer.runnables.cargoExtraArgs": [
+        "+nightly"
+    ]
+}

crates/core_simd/src/lib.rs

@@ -33,3 +33,5 @@ pub use masks::*;
 
 mod vector;
 pub use vector::*;
+
+mod libmf32;

crates/core_simd/src/libmf32.rs

@@ -0,0 +1,35 @@
+use crate::SimdF32;
+
+impl<const LANES: usize> SimdF32<LANES>
+where
+    Self: crate::LanesAtMost32,
+{
+    // This does not seem to be implemented, yet.
+    #[inline]
+    fn mul_add(self, mul: Self, add: Self) -> Self {
+        self * mul + add
+    }
+
+    /// Compute the sine of the angle in radians.
+    /// Result is accurate to 0.0000002.
+    ///
+    /// # Example
+    ///
+    /// ```
+    /// use core_simd::SimdF32;
+    /// let x = SimdF32::<8>::splat(1.0);
+    /// assert!((x.sin() - SimdF32::<8>::splat((1.0_f32).sin())).abs().horizontal_max() < 0.0000002);
+    /// ```
+    #[inline]
+    pub fn sin(&self) -> Self {
+        let x = Self::splat(1.0 / (core::f32::consts::PI * 2.0)) * self;
+        let x = x - x.floor() - 0.5;
+        Self::splat(12.268859941019306_f32)
+            .mul_add(x * x, Self::splat(-41.216241051002875_f32))
+            .mul_add(x * x, Self::splat(76.58672703334098_f32))
+            .mul_add(x * x, Self::splat(-81.59746095374902_f32))
+            .mul_add(x * x, Self::splat(41.34151143437585_f32))
+            .mul_add(x * x, Self::splat(-6.283184525811273_f32))
+            * x
+    }
+}