Add a Remainder method

samples/MathSharp.Interactive/Benchmarks/Vector/Double/RemainderBenchmark.cs

@@ -0,0 +1,43 @@
+using BenchmarkDotNet.Attributes;
+using OpenTK;
+using System.Runtime.Intrinsics.X86;
+
+namespace MathSharp.Interactive.Benchmarks.Vector.Double
+{
+    using Vector = MathSharp.Vector;
+    public class RemainderBenchmark
+    {
+        private Vector4d vec;
+
+        [GlobalSetup]
+        public void Setup()
+        {
+            vec = new Vector4d(0, 1.2f, 1.6f, 3.2f);
+        }
+        [Benchmark]
+        public void Normal()
+        {
+            var result = normal(vec, 2);
+        }
+
+        [Benchmark]
+        public void MathSharp()
+        {
+            var result = mathSharp(vec, 2);
+        }
+
+        //Prevents the JIT from compiling Normal() away.
+        private unsafe Vector4d mathSharp(Vector4d vector, double divisor)
+        {
+            var v = Avx.LoadVector256((double*)&vector);
+            v = Vector.Remainder(v, divisor);
+
+            Vector4d result;
+            Avx.Store((double*)&result, v);
+            return result;
+        }
+
+        private Vector4d normal(Vector4d vector, double divisor)
+           => new Vector4d(vector.X % divisor, vector.Y % divisor, vector.Z % divisor, vector.W % divisor);
+    }
+}

samples/MathSharp.Interactive/Benchmarks/Vector/Single/RemainderBenchmark.cs

@@ -0,0 +1,39 @@
+using BenchmarkDotNet.Attributes;
+using System.Numerics;
+namespace MathSharp.Interactive.Benchmarks.Vector.Single
+{
+    using Vector = MathSharp.Vector;
+    public class RemainderBenchmark
+    {
+        private Vector4 vec;
+
+        [GlobalSetup]
+        public void Setup()
+        {
+            vec = new Vector4(0, 1.2f, 1.6f, 3.2f);
+        }
+        [Benchmark]
+        public void Normal()
+        {
+            var result = normal(vec, 2);
+        }
+
+        [Benchmark]
+        public void MathSharp()
+        {
+            var result = mathSharp(vec, 2);
+        }
+
+        //Prevents the JIT from compiling Normal() away.
+        private Vector4 mathSharp(Vector4 vector, float divisor)
+        {
+            var v = vector.Load();
+            v = Vector.Remainder(v, divisor);
+            Vector.Store(v, out Vector4 result);
+            return result;
+        }
+
+        private Vector4 normal(Vector4 vector, float divisor)
+           => new Vector4(vector.X % divisor, vector.Y % divisor, vector.Z % divisor, vector.W % divisor);
+    }
+}

samples/MathSharp.Interactive/Program.cs

@@ -16,7 +16,7 @@ internal class Program
     {
         private static void Main(string[] args)
         {
-            BenchmarkRunner.Run<SinBenchmark>();
+            BenchmarkRunner.Run<RemainderBenchmark>();
         }
 
         private static readonly Vector3 Direction = new Vector3(1, 2, 3);

sources/MathSharp/Vector/VectorFloatingPoint/VectorDouble/BasicMaths.cs

@@ -1,7 +1,9 @@
-using System.Runtime.CompilerServices;
+using System;
+using System.Runtime.CompilerServices;
 using System.Runtime.Intrinsics;
 using System.Runtime.Intrinsics.X86;
 using MathSharp.Attributes;
+using static MathSharp.Utils.Helpers;
 using static MathSharp.SoftwareFallbacks;
 
 namespace MathSharp
@@ -13,12 +15,12 @@ public static partial class Vector
     {
         #region Vector
 
-        
+
         [MethodImpl(MaxOpt)]
-        public static Vector4D Abs(in Vector4DParam1_3 vector) 
+        public static Vector4D Abs(in Vector4DParam1_3 vector)
             => Max(Subtract(Vector4D.Zero, vector), vector);
 
-        
+
         [MethodImpl(MaxOpt)]
         public static Vector4D HorizontalAdd(in Vector4DParam1_3 left, in Vector4DParam1_3 right)
         {
@@ -30,7 +32,7 @@ public static Vector4D HorizontalAdd(in Vector4DParam1_3 left, in Vector4DParam1
             return HorizontalAdd_Software(left, right);
         }
 
-        
+
         [MethodImpl(MaxOpt)]
         public static Vector4D Add(in Vector4DParam1_3 left, in Vector4DParam1_3 right)
         {
@@ -42,12 +44,12 @@ public static Vector4D Add(in Vector4DParam1_3 left, in Vector4DParam1_3 right)
             return Add_Software(left, right);
         }
 
-        
+
         [MethodImpl(MaxOpt)]
         public static Vector4D Add(in Vector4DParam1_3 vector, double scalar)
             => Add(vector, Vector256.Create(scalar));
 
-        
+
         [MethodImpl(MaxOpt)]
         public static Vector4D Subtract(in Vector4DParam1_3 left, in Vector4DParam1_3 right)
         {
@@ -59,12 +61,12 @@ public static Vector4D Subtract(in Vector4DParam1_3 left, in Vector4DParam1_3 ri
             return Subtract_Software(left, right);
         }
 
-        
+
         [MethodImpl(MaxOpt)]
         public static Vector4D Subtract(in Vector4DParam1_3 vector, double scalar)
             => Subtract(vector, Vector256.Create(scalar));
 
-        
+
         [MethodImpl(MaxOpt)]
         public static Vector4D Multiply(in Vector4DParam1_3 left, in Vector4DParam1_3 right)
         {
@@ -91,16 +93,16 @@ public static Vector4D Divide(in Vector4DParam1_3 dividend, in Vector4DParam1_3
             return Divide_Software(dividend, divisor);
         }
 
-        
+
         [MethodImpl(MaxOpt)]
         public static Vector4D Divide(in Vector4DParam1_3 dividend, double scalarDivisor)
             => Subtract(dividend, Vector256.Create(scalarDivisor));
 
-        
-        public static Vector4D Clamp(in Vector4DParam1_3 vector, in Vector4DParam1_3 low, in Vector4DParam1_3 high) 
+
+        public static Vector4D Clamp(in Vector4DParam1_3 vector, in Vector4DParam1_3 low, in Vector4DParam1_3 high)
             => Max(Min(vector, high), low);
 
-        
+
         [MethodImpl(MaxOpt)]
         public static Vector4D Sqrt(in Vector4DParam1_3 vector)
         {
@@ -112,7 +114,7 @@ public static Vector4D Sqrt(in Vector4DParam1_3 vector)
             return Sqrt_Software(vector);
         }
 
-        
+
         [MethodImpl(MaxOpt)]
         public static Vector4D Max(in Vector4DParam1_3 left, in Vector4DParam1_3 right)
         {
@@ -124,7 +126,7 @@ public static Vector4D Max(in Vector4DParam1_3 left, in Vector4DParam1_3 right)
             return Max_Software(left, right);
         }
 
-        
+
         [MethodImpl(MaxOpt)]
         public static Vector4D Min(in Vector4DParam1_3 left, in Vector4DParam1_3 right)
         {
@@ -145,21 +147,55 @@ public static HwVector3D Negate(HwVector3D vector)
         public static HwVector4D Negate(HwVector4D vector)
             => Negate4D(vector);
 
-        
+
         [MethodImpl(MaxOpt)]
-        public static Vector4D Negate2D(in Vector4DParam1_3 vector) 
+        public static Vector4D Negate2D(in Vector4DParam1_3 vector)
             => Xor(vector, SignFlip2DDouble);
 
-        
+
         [MethodImpl(MaxOpt)]
         public static Vector4D Negate3D(in Vector4DParam1_3 vector)
             => Xor(vector, SignFlip3DDouble);
 
-        
+
         [MethodImpl(MaxOpt)]
         public static Vector4D Negate4D(in Vector4DParam1_3 vector)
             => Xor(vector, SignFlip4DDouble);
 
+        [MethodImpl(MaxOpt)]
+        public static Vector4D Remainder(in Vector4DParam1_3 left, in Vector4DParam1_3 right)
+        {
+            var n = Divide(left, right);
+            n = Truncate(n);
+
+            var y = Multiply(n, right);
+
+            return Subtract(left, y);
+        }
+
+        public static Vector4D Remainder(in Vector4DParam1_3 left, double right)
+            => Remainder(left, Vector256.Create(right));
+
+        [MethodImpl(MaxOpt)]
+        public static Vector4D Truncate(in Vector4DParam1_3 vector)
+        {
+            if (Avx.IsSupported)
+            {
+                return Avx.RoundToZero(vector);
+            }
+
+            return SoftwareFallback(vector);
+
+            static Vector4D SoftwareFallback(in Vector4DParam1_3 vector)
+            {
+                return Vector256.Create(
+                   Math.Truncate(X(vector)),
+                   Math.Truncate(Y(vector)),
+                   Math.Truncate(Z(vector)),
+                   Math.Truncate(W(vector))
+               );
+             }
+        }
         #endregion
     }
 }

sources/MathSharp/Vector/VectorFloatingPoint/VectorSingle/BasicMaths.cs

@@ -270,6 +270,20 @@ public static Vector4F Sin(in Vector4FParam1_3 vector)
             return result;
         }
 
+        [MethodImpl(MaxOpt)]
+        public static Vector4F Remainder(in Vector4FParam1_3 left, in Vector4FParam1_3 right)
+        {
+            var n = Divide(left, right);
+            n = Truncate(n);
+
+            var y = Multiply(n, right);
+
+            return Subtract(left, y);
+        }
+
+        public static Vector4F Remainder(in Vector4FParam1_3 left, float right)
+            => Remainder(left, Vector128.Create(right));
+
         private static readonly Vector4F OneDiv2Pi = Vector128.Create(SingleConstants.OneDiv2Pi);
         private static readonly Vector4F Pi2 = Vector128.Create(SingleConstants.Pi2);
         private static readonly Vector4F Pi = Vector128.Create(SingleConstants.Pi);
@@ -285,7 +299,6 @@ public static Vector4F Mod2Pi(in Vector4FParam1_3 vector)
 
             return Subtract(vector, result);
         }
-
         [MethodImpl(MaxOpt)]
         public static Vector4F Round(in Vector4FParam1_3 vector)
         {
@@ -309,6 +322,27 @@ static Vector4F SoftwareFallback(in Vector4FParam1_3 vector)
             }
         }
 
+        [MethodImpl(MaxOpt)]
+        public static Vector4F Truncate(in Vector4FParam1_3 vector)
+        {
+            if (Sse41.IsSupported)
+            {
+                return Sse41.RoundToZero(vector);
+            }
+
+            return SoftwareFallback(vector);
+
+            static Vector4F SoftwareFallback(in Vector4FParam1_3 vector)
+            {
+                return Vector128.Create(
+                   MathF.Truncate(X(vector)),
+                   MathF.Truncate(Y(vector)),
+                   MathF.Truncate(Z(vector)),
+                   MathF.Truncate(W(vector))
+               );
+            }
+        }
+
         #endregion
     }
 }

tests/MathSharp.UnitTests/Helpers/TestHelpers.cs

@@ -4,6 +4,9 @@
 using static MathSharp.Utils.Helpers;
 using MathSharp.Utils;
 using OpenTK;
+using Vec2 = System.Numerics.Vector2;
+using Vec3 = System.Numerics.Vector3;
+using Vec4 = System.Numerics.Vector4;
 
 namespace MathSharp.UnitTests
 {
@@ -57,10 +60,23 @@ public static bool AreEqual(Vector3 left, Vector128<float> right)
         public static bool AreEqual(Vector2 left, Vector128<float> right)
             => left.X.Equals(X(right)) && left.Y.Equals(Y(right));
 
+        [MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
+        public static bool AreEqual(Vec4 left, Vector128<float> right)
+           => left.X.Equals(X(right)) && left.Y.Equals(Y(right)) && left.Z.Equals(Z(right)) && left.W.Equals(W(right));
+
+        [MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
+        public static bool AreEqual(Vec3 left, Vector128<float> right)
+            => left.X.Equals(X(right)) && left.Y.Equals(Y(right)) && left.Z.Equals(Z(right));
+
+        [MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
+        public static bool AreEqual(Vec2 left, Vector128<float> right)
+            => left.X.Equals(X(right)) && left.Y.Equals(Y(right));
+
         [MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
         public static bool AreEqual(float left, Vector128<float> right)
             => left.Equals(X(right));
 
+
         [MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
         public static bool AreApproxEqual(float left, float right, float interval = 0.000000001f)
         {

tests/MathSharp.UnitTests/VectorTests/VectorDouble/BasicMathsTests/Remainder.cs

@@ -0,0 +1,41 @@
+using OpenTK;
+using System;
+using System.Collections.Generic;
+using System.Runtime.Intrinsics;
+using System.Runtime.Intrinsics.X86;
+using System.Text;
+using Xunit;
+using Xunit.Abstractions;
+
+namespace MathSharp.UnitTests.VectorTests.VectorDouble.BasicMathsTests
+{
+    public class Remainder
+    {
+        public static IEnumerable<object[]> Data =>
+            new[]
+            {
+                new object[] { new Vector4d(10.4f), new Vector4d(2f) },
+                new object[] { new Vector4d(-10.4f), new Vector4d(2f) },
+                new object[] { new Vector4d(float.NaN, float.MinValue, float.MaxValue, float.PositiveInfinity), new Vector4d(3f) },
+                new object[] { new Vector4d(float.NaN, float.MinValue, float.MaxValue, float.PositiveInfinity), new Vector4d(2.4f) },
+                new object[] { new Vector4d(23.45f), new Vector4d(219f) },
+                new object[] { new Vector4d(12), new Vector4d(float.NaN) },
+                new object[] { new Vector4d(-10000000f), new Vector4d(2.2f) },
+                new object[] { new Vector4d(10000000f), new Vector4d(2.2f) },
+                new object[] { new Vector4d(float.NegativeInfinity), new Vector4d(3f) }
+            };
+
+        [Theory]
+        [MemberData(nameof(Data))]
+        public unsafe void Remainder_Theory(Vector4d left, Vector4d right)
+        {
+            var l = Avx.LoadAlignedVector256((double*)&left);
+            var r = Avx.LoadAlignedVector256((double*)&right);
+
+            var remainder = Vector.Remainder(l, r);
+            var expected = new Vector4d(left.X % right.X, left.Y % right.Y, left.Z % right.Z, left.W % right.W);
+
+            TestHelpers.AreEqual(expected, remainder);
+        }
+    }
+}