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+// Copyright 2013 The Servo Project Developers. See the COPYRIGHT
+// file at the top-level directory of this distribution.
+//
+// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
+// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
+// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
+// option. This file may not be copied, modified, or distributed
+// except according to those terms.
+
+/// Trait for basic trigonometry functions, so they can be used on generic numeric types
+pub trait Trig {
+ fn sin(self) -> Self;
+ fn cos(self) -> Self;
+ fn tan(self) -> Self;
+ fn fast_atan2(y: Self, x: Self) -> Self;
+ fn degrees_to_radians(deg: Self) -> Self;
+ fn radians_to_degrees(rad: Self) -> Self;
+}
+
+macro_rules! trig {
+ ($ty:ident) => {
+ impl Trig for $ty {
+ #[inline]
+ fn sin(self) -> $ty {
+ num_traits::Float::sin(self)
+ }
+ #[inline]
+ fn cos(self) -> $ty {
+ num_traits::Float::cos(self)
+ }
+ #[inline]
+ fn tan(self) -> $ty {
+ num_traits::Float::tan(self)
+ }
+
+ /// A slightly faster approximation of `atan2`.
+ ///
+ /// Note that it does not deal with the case where both x and y are 0.
+ #[inline]
+ fn fast_atan2(y: $ty, x: $ty) -> $ty {
+ // This macro is used with f32 and f64 and clippy warns about the extra
+ // precision with f32.
+ #![cfg_attr(feature = "cargo-clippy", allow(excessive_precision))]
+
+ // See https://math.stackexchange.com/questions/1098487/atan2-faster-approximation#1105038
+ use core::$ty::consts;
+ let x_abs = num_traits::Float::abs(x);
+ let y_abs = num_traits::Float::abs(y);
+ let a = x_abs.min(y_abs) / x_abs.max(y_abs);
+ let s = a * a;
+ let mut result =
+ ((-0.046_496_474_9 * s + 0.159_314_22) * s - 0.327_622_764) * s * a + a;
+ if y_abs > x_abs {
+ result = consts::FRAC_PI_2 - result;
+ }
+ if x < 0.0 {
+ result = consts::PI - result
+ }
+ if y < 0.0 {
+ result = -result
+ }
+
+ result
+ }
+
+ #[inline]
+ fn degrees_to_radians(deg: Self) -> Self {
+ deg.to_radians()
+ }
+
+ #[inline]
+ fn radians_to_degrees(rad: Self) -> Self {
+ rad.to_degrees()
+ }
+ }
+ };
+}
+
+trig!(f32);
+trig!(f64);