AK+Everywhere: Add sincos and use it in some places

Calculating sin and cos at once is quite a bit cheaper than calculating
them individually.
x87 has even a dedicated instruction for it: `fsincos`.

2 files changed, 18 insertions, 1 deletions

diff --git a/AK/Complex.h b/AK/Complex.h
index b9deb170f9..728ae33c77 100644
--- a/AK/Complex.h
+++ b/AK/Complex.h
@@ -55,7 +55,9 @@ public:
     template<AK::Concepts::Arithmetic U, AK::Concepts::Arithmetic V>
     static constexpr Complex<T> from_polar(U magnitude, V phase)
     {
-        return Complex<T>(magnitude * cos(phase), magnitude * sin(phase));
+        V s, c;
+        sincos(phase, s, c);
+        return Complex<T>(magnitude * c, magnitude * s);
     }
 
     template<AK::Concepts::Arithmetic U>
diff --git a/AK/Math.h b/AK/Math.h
index fcdc2f0d5a..625dff549c 100644
--- a/AK/Math.h
+++ b/AK/Math.h
@@ -204,6 +204,20 @@ constexpr T cos(T angle)
 }
 
 template<FloatingPoint T>
+constexpr void sincos(T angle, T& sin_val, T& cos_val)
+{
+    if (is_constant_evaluated()) {
+        sin_val = sin(angle);
+        cos_val = cos(angle);
+        return;
+    }
+    asm(
+        "fsincos"
+        : "=t"(cos_val), "=u"(sin_val)
+        : "0"(angle));
+}
+
+template<FloatingPoint T>
 constexpr T tan(T angle)
 {
     CONSTEXPR_STATE(tan, angle);
@@ -303,6 +317,7 @@ using Trigonometry::atan2;
 using Trigonometry::cos;
 using Trigonometry::hypot;
 using Trigonometry::sin;
+using Trigonometry::sincos;
 using Trigonometry::tan;
 
 namespace Exponentials {