CHANGELOG.md

@@ -9,12 +9,12 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0
 
 ### Changed
 
-- X10D: Removed `IEnumerable<T>.GreatestCommonFactor` for all integer types in favour of generic math.
+- X1OD: `IBinaryInteger<T>.Factorial` now starts at `IBinaryInteger<T>.MultiplicativeIdentity` not
-- X10D: Removed `IEnumerable<T>.LowestCommonMultiple` for all integer types in favour of generic math.
+`IBinaryInteger<T>.One`.
-- X10D: Removed `IEnumerable<T>.Product` for all integer types in favour of generic math.
+- X10D: Removed `byte.Product`, `short.Product`, `ushort.Product`, `int.Product`, `uint.Product`, `long.Product`,
-- X10D: Removed `IEnumerable<T>.RangeTo` for all integer types in favour of generic math.
+  and `ulong.Product`, in favour of `INumber<T>.Product`.
-- X10D: Removed `T.Sign` for all numeric types in favour of generic math.
+- X10D: Removed `byte.RangeTo`, `short.RangeTo`, `ushort.RangeTo`, `int.RangeTo`, `uint.RangeTo`, `long.RangeTo`,
-- X10D: Removed `T.Wrap` for all numeric types in favour of generic math.
+and `ulong.RangeTo`, in favour of `INumber<T>.RangeTo`.
 
 ### Removed
 

X10D/src/Math/BigIntegerExtensions.cs

@@ -39,6 +39,24 @@ public static class BigIntegerExtensions
         return result;
     }
 
+    /// <summary>
+    ///     Calculates the greatest common factor between this, and another, <see cref="BigInteger" />.
+    /// </summary>
+    /// <param name="value">The first value.</param>
+    /// <param name="other">The second value.</param>
+    /// <returns>The greatest common factor between <paramref name="value" /> and <paramref name="other" />.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static BigInteger GreatestCommonFactor(this BigInteger value, BigInteger other)
+    {
+        while (other != 0)
+        {
+            (value, other) = (other, value % other);
+        }
+
+        return value;
+    }
+
     /// <summary>
     ///     Returns a value indicating whether the current value is not evenly divisible by 2.
     /// </summary>
@@ -91,6 +109,34 @@ public static class BigIntegerExtensions
         return true;
     }
 
+    /// <summary>
+    ///     Calculates the lowest common multiple between the current 64-bit signed integer, and another 64-bit signed integer.
+    /// </summary>
+    /// <param name="value">The first value.</param>
+    /// <param name="other">The second value.</param>
+    /// <returns>The lowest common multiple between <paramref name="value" /> and <paramref name="other" />.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static BigInteger LowestCommonMultiple(this BigInteger value, BigInteger other)
+    {
+        if (value == 0 || other == 0)
+        {
+            return 0;
+        }
+
+        if (value == 1)
+        {
+            return other;
+        }
+
+        if (other == 1)
+        {
+            return value;
+        }
+
+        return value * other / value.GreatestCommonFactor(other);
+    }
+
     /// <summary>
     ///     Returns the multiplicative persistence of a specified value.
     /// </summary>
@@ -136,4 +182,32 @@ public static class BigIntegerExtensions
 
         return persistence;
     }
+
+    /// <summary>
+    ///     Wraps the current integer between a low and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="low">The inclusive lower bound.</param>
+    /// <param name="high">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static BigInteger Wrap(this BigInteger value, BigInteger low, BigInteger high)
+    {
+        BigInteger difference = high - low;
+        return low + (((value - low) % difference) + difference) % difference;
+    }
+
+    /// <summary>
+    ///     Wraps the current integer between 0 and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="length">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static BigInteger Wrap(this BigInteger value, BigInteger length)
+    {
+        return ((value % length) + length) % length;
+    }
 }

X10D/src/Math/BinaryIntegerExtensions.cs

@@ -69,12 +69,31 @@ public static class BinaryIntegerExtensions
             return 1;
         }
 
-        long result = 1L;
+        TInteger result = TInteger.MultiplicativeIdentity;
         for (TInteger i = TInteger.One; i <= value; i++)
         {
-            result *= long.CreateChecked(i);
+            result *= i;
         }
 
-        return result;
+        return long.CreateChecked(result);
+    }
+
+    /// <summary>
+    ///     Calculates the greatest common factor between the current binary integer, and another binary integer.
+    /// </summary>
+    /// <param name="value">The first value.</param>
+    /// <param name="other">The second value.</param>
+    /// <returns>The greatest common factor between <paramref name="value" /> and <paramref name="other" />.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static TInteger GreatestCommonFactor<TInteger>(this TInteger value, TInteger other)
+        where TInteger : IBinaryInteger<TInteger>
+    {
+        while (other != TInteger.Zero)
+        {
+            (value, other) = (other, value % other);
+        }
+
+        return value;
     }
 }

X10D/src/Math/ByteExtensions.cs

@@ -22,6 +22,19 @@ public static class ByteExtensions
         return ((long)value).IsPrime();
     }
 
+    /// <summary>
+    ///     Calculates the lowest common multiple between the current 8-bit signed integer, and another 8-bit signed integer.
+    /// </summary>
+    /// <param name="value">The first value.</param>
+    /// <param name="other">The second value.</param>
+    /// <returns>The lowest common multiple between <paramref name="value" /> and <paramref name="other" />.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static byte LowestCommonMultiple(this byte value, byte other)
+    {
+        return (byte)((long)value).LowestCommonMultiple(other);
+    }
+
     /// <summary>
     ///     Returns the multiplicative persistence of a specified value.
     /// </summary>
@@ -36,4 +49,31 @@ public static class ByteExtensions
     {
         return ((long)value).MultiplicativePersistence();
     }
+
+    /// <summary>
+    ///     Wraps the current 8-bit unsigned integer between a low and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="low">The inclusive lower bound.</param>
+    /// <param name="high">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static byte Wrap(this byte value, byte low, byte high)
+    {
+        return (byte)((ulong)value).Wrap(low, high);
+    }
+
+    /// <summary>
+    ///     Wraps the current 8-bit unsigned integer between 0 and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="length">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static byte Wrap(this byte value, byte length)
+    {
+        return (byte)((ulong)value).Wrap(length);
+    }
 }

X10D/src/Math/DecimalExtensions.cs

@@ -90,6 +90,40 @@ public static class DecimalExtensions
         return System.Math.Clamp(value, 0.0m, 1.0m);
     }
 
+    /// <summary>
+    ///     Returns an integer that indicates the sign of this decimal number.
+    /// </summary>
+    /// <param name="value">A signed number.</param>
+    /// <returns>
+    ///     A number that indicates the sign of <paramref name="value" />, as shown in the following table.
+    ///
+    ///     <list type="table">
+    ///         <listheader>
+    ///             <term>Return value</term>
+    ///             <description>Meaning</description>
+    ///         </listheader>
+    ///
+    ///         <item>
+    ///             <term>-1</term>
+    ///             <description><paramref name="value" /> is less than zero.</description>
+    ///         </item>
+    ///         <item>
+    ///             <term>0</term>
+    ///             <description><paramref name="value" /> is equal to zero.</description>
+    ///         </item>
+    ///         <item>
+    ///             <term>1</term>
+    ///             <description><paramref name="value" /> is greater than zero.</description>
+    ///         </item>
+    ///     </list>
+    /// </returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static int Sign(this decimal value)
+    {
+        return System.Math.Sign(value);
+    }
+
     /// <summary>
     ///     Returns the square root of this decimal number.
     /// </summary>
@@ -140,4 +174,32 @@ public static class DecimalExtensions
 
         return current;
     }
+
+    /// <summary>
+    ///     Wraps the current decimal number between a low and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="low">The inclusive lower bound.</param>
+    /// <param name="high">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static decimal Wrap(this decimal value, decimal low, decimal high)
+    {
+        decimal difference = high - low;
+        return low + (((value - low) % difference) + difference) % difference;
+    }
+
+    /// <summary>
+    ///     Wraps the current decimal number between 0 and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="length">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static decimal Wrap(this decimal value, decimal length)
+    {
+        return ((value % length) + length) % length;
+    }
 }

X10D/src/Math/DoubleExtensions.cs

@@ -300,6 +300,41 @@ public static class DoubleExtensions
         return System.Math.Sinh(value);
     }
 
+    /// <summary>
+    ///     Returns an integer that indicates the sign of this double-precision floating-point number.
+    /// </summary>
+    /// <param name="value">A signed number.</param>
+    /// <returns>
+    ///     A number that indicates the sign of <paramref name="value" />, as shown in the following table.
+    ///
+    ///     <list type="table">
+    ///         <listheader>
+    ///             <term>Return value</term>
+    ///             <description>Meaning</description>
+    ///         </listheader>
+    ///
+    ///         <item>
+    ///             <term>-1</term>
+    ///             <description><paramref name="value" /> is less than zero.</description>
+    ///         </item>
+    ///         <item>
+    ///             <term>0</term>
+    ///             <description><paramref name="value" /> is equal to zero.</description>
+    ///         </item>
+    ///         <item>
+    ///             <term>1</term>
+    ///             <description><paramref name="value" /> is greater than zero.</description>
+    ///         </item>
+    ///     </list>
+    /// </returns>
+    /// <exception cref="ArithmeticException"><paramref name="value" /> is equal to <see cref="double.NaN" />.</exception>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static int Sign(this double value)
+    {
+        return System.Math.Sign(value);
+    }
+
     /// <summary>
     ///     Returns the square root of this double-precision floating-point number.
     /// </summary>
@@ -386,4 +421,32 @@ public static class DoubleExtensions
     {
         return System.Math.Tanh(value);
     }
+
+    /// <summary>
+    ///     Wraps the current double-precision floating-point number between a low and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="low">The inclusive lower bound.</param>
+    /// <param name="high">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static double Wrap(this double value, double low, double high)
+    {
+        double difference = high - low;
+        return low + (((value - low) % difference) + difference) % difference;
+    }
+
+    /// <summary>
+    ///     Wraps the current double-precision floating-point number between 0 and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="length">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static double Wrap(this double value, double length)
+    {
+        return ((value % length) + length) % length;
+    }
 }

X10D/src/Math/Int16Extensions.cs

@@ -23,6 +23,19 @@ public static class Int16Extensions
         return ((long)value).IsPrime();
     }
 
+    /// <summary>
+    ///     Calculates the lowest common multiple between the current 16-bit signed integer, and another 16-bit signed integer.
+    /// </summary>
+    /// <param name="value">The first value.</param>
+    /// <param name="other">The second value.</param>
+    /// <returns>The lowest common multiple between <paramref name="value" /> and <paramref name="other" />.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static short LowestCommonMultiple(this short value, short other)
+    {
+        return (short)((long)value).LowestCommonMultiple(other);
+    }
+
     /// <summary>
     ///     Returns the multiplicative persistence of a specified value.
     /// </summary>
@@ -37,4 +50,65 @@ public static class Int16Extensions
     {
         return ((long)value).MultiplicativePersistence();
     }
+
+    /// <summary>
+    ///     Returns an integer that indicates the sign of this 16-bit signed integer.
+    /// </summary>
+    /// <param name="value">A signed number.</param>
+    /// <returns>
+    ///     A number that indicates the sign of <paramref name="value" />, as shown in the following table.
+    ///
+    ///     <list type="table">
+    ///         <listheader>
+    ///             <term>Return value</term>
+    ///             <description>Meaning</description>
+    ///         </listheader>
+    ///
+    ///         <item>
+    ///             <term>-1</term>
+    ///             <description><paramref name="value" /> is less than zero.</description>
+    ///         </item>
+    ///         <item>
+    ///             <term>0</term>
+    ///             <description><paramref name="value" /> is equal to zero.</description>
+    ///         </item>
+    ///         <item>
+    ///             <term>1</term>
+    ///             <description><paramref name="value" /> is greater than zero.</description>
+    ///         </item>
+    ///     </list>
+    /// </returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static int Sign(this short value)
+    {
+        return System.Math.Sign(value);
+    }
+
+    /// <summary>
+    ///     Wraps the current 16-bit signed integer between a low and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="low">The inclusive lower bound.</param>
+    /// <param name="high">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static short Wrap(this short value, short low, short high)
+    {
+        return (short)((long)value).Wrap(low, high);
+    }
+
+    /// <summary>
+    ///     Wraps the current 16-bit signed integer between 0 and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="length">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static short Wrap(this short value, short length)
+    {
+        return (short)((long)value).Wrap(length);
+    }
 }

X10D/src/Math/Int32Extensions.cs

@@ -23,6 +23,19 @@ public static class Int32Extensions
         return ((long)value).IsPrime();
     }
 
+    /// <summary>
+    ///     Calculates the lowest common multiple between the current 32-bit signed integer, and another 32-bit signed integer.
+    /// </summary>
+    /// <param name="value">The first value.</param>
+    /// <param name="other">The second value.</param>
+    /// <returns>The lowest common multiple between <paramref name="value" /> and <paramref name="other" />.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static int LowestCommonMultiple(this int value, int other)
+    {
+        return (int)((long)value).LowestCommonMultiple(other);
+    }
+
     /// <summary>
     ///     Returns the multiplicative persistence of a specified value.
     /// </summary>
@@ -37,4 +50,65 @@ public static class Int32Extensions
     {
         return ((long)value).MultiplicativePersistence();
     }
+
+    /// <summary>
+    ///     Returns an integer that indicates the sign of this 32-bit signed integer.
+    /// </summary>
+    /// <param name="value">A signed number.</param>
+    /// <returns>
+    ///     A number that indicates the sign of <paramref name="value" />, as shown in the following table.
+    ///
+    ///     <list type="table">
+    ///         <listheader>
+    ///             <term>Return value</term>
+    ///             <description>Meaning</description>
+    ///         </listheader>
+    ///
+    ///         <item>
+    ///             <term>-1</term>
+    ///             <description><paramref name="value" /> is less than zero.</description>
+    ///         </item>
+    ///         <item>
+    ///             <term>0</term>
+    ///             <description><paramref name="value" /> is equal to zero.</description>
+    ///         </item>
+    ///         <item>
+    ///             <term>1</term>
+    ///             <description><paramref name="value" /> is greater than zero.</description>
+    ///         </item>
+    ///     </list>
+    /// </returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static int Sign(this int value)
+    {
+        return System.Math.Sign(value);
+    }
+
+    /// <summary>
+    ///     Wraps the current 32-bit signed integer between a low and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="low">The inclusive lower bound.</param>
+    /// <param name="high">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static int Wrap(this int value, int low, int high)
+    {
+        return (int)((long)value).Wrap(low, high);
+    }
+
+    /// <summary>
+    ///     Wraps the current 32-bit signed integer between 0 and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="length">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static int Wrap(this int value, int length)
+    {
+        return (int)((long)value).Wrap(length);
+    }
 }

X10D/src/Math/Int64Extensions.cs

@@ -42,6 +42,34 @@ public static class Int64Extensions
         return true;
     }
 
+    /// <summary>
+    ///     Calculates the lowest common multiple between the current 64-bit signed integer, and another 64-bit signed integer.
+    /// </summary>
+    /// <param name="value">The first value.</param>
+    /// <param name="other">The second value.</param>
+    /// <returns>The lowest common multiple between <paramref name="value" /> and <paramref name="other" />.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static long LowestCommonMultiple(this long value, long other)
+    {
+        if (value == 0 || other == 0)
+        {
+            return 0;
+        }
+
+        if (value == 1)
+        {
+            return other;
+        }
+
+        if (other == 1)
+        {
+            return value;
+        }
+
+        return value * other / value.GreatestCommonFactor(other);
+    }
+
     /// <summary>
     ///     Returns the multiplicative persistence of a specified value.
     /// </summary>
@@ -87,4 +115,66 @@ public static class Int64Extensions
 
         return persistence;
     }
+
+    /// <summary>
+    ///     Returns an integer that indicates the sign of this 64-bit signed integer.
+    /// </summary>
+    /// <param name="value">A signed number.</param>
+    /// <returns>
+    ///     A number that indicates the sign of <paramref name="value" />, as shown in the following table.
+    ///
+    ///     <list type="table">
+    ///         <listheader>
+    ///             <term>Return value</term>
+    ///             <description>Meaning</description>
+    ///         </listheader>
+    ///
+    ///         <item>
+    ///             <term>-1</term>
+    ///             <description><paramref name="value" /> is less than zero.</description>
+    ///         </item>
+    ///         <item>
+    ///             <term>0</term>
+    ///             <description><paramref name="value" /> is equal to zero.</description>
+    ///         </item>
+    ///         <item>
+    ///             <term>1</term>
+    ///             <description><paramref name="value" /> is greater than zero.</description>
+    ///         </item>
+    ///     </list>
+    /// </returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static int Sign(this long value)
+    {
+        return System.Math.Sign(value);
+    }
+
+    /// <summary>
+    ///     Wraps the current 64-bit signed integer between a low and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="low">The inclusive lower bound.</param>
+    /// <param name="high">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static long Wrap(this long value, long low, long high)
+    {
+        long difference = high - low;
+        return low + (((value - low) % difference) + difference) % difference;
+    }
+
+    /// <summary>
+    ///     Wraps the current 64-bit signed integer between 0 and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="length">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static long Wrap(this long value, long length)
+    {
+        return ((value % length) + length) % length;
+    }
 }

X10D/src/Math/NumberExtensions.cs

@@ -10,25 +10,6 @@ namespace X10D.Math;
 /// </summary>
 public static class NumberExtensions
 {
-    /// <summary>
-    ///     Calculates the greatest common factor between the current number and another number.
-    /// </summary>
-    /// <param name="value">The first value.</param>
-    /// <param name="other">The second value.</param>
-    /// <returns>The greatest common factor between <paramref name="value" /> and <paramref name="other" />.</returns>
-    [Pure]
-    [MethodImpl(CompilerResources.MaxOptimization)]
-    public static TNumber GreatestCommonFactor<TNumber>(this TNumber value, TNumber other)
-        where TNumber : INumber<TNumber>
-    {
-        while (other != TNumber.Zero)
-        {
-            (value, other) = (other, value % other);
-        }
-
-        return value;
-    }
-
     /// <summary>
     ///     Returns a value indicating whether the current value is evenly divisible by 2.
     /// </summary>
@@ -61,35 +42,6 @@ public static class NumberExtensions
         return !value.IsEven();
     }
 
-    /// <summary>
-    ///     Calculates the lowest common multiple between the current 64-bit signed integer, and another 64-bit signed integer.
-    /// </summary>
-    /// <param name="value">The first value.</param>
-    /// <param name="other">The second value.</param>
-    /// <returns>The lowest common multiple between <paramref name="value" /> and <paramref name="other" />.</returns>
-    [Pure]
-    [MethodImpl(CompilerResources.MaxOptimization)]
-    public static TNumber LowestCommonMultiple<TNumber>(this TNumber value, TNumber other)
-        where TNumber : INumber<TNumber>
-    {
-        if (value == TNumber.Zero || other == TNumber.Zero)
-        {
-            return TNumber.Zero;
-        }
-
-        if (value == TNumber.One)
-        {
-            return other;
-        }
-
-        if (other == TNumber.One)
-        {
-            return value;
-        }
-
-        return value * other / value.GreatestCommonFactor(other);
-    }
-
     /// <summary>
     ///     Performs a modulo operation which supports a negative dividend.
     /// </summary>
@@ -147,34 +99,4 @@ public static class NumberExtensions
     {
         return TNumber.Sign(value);
     }
-
-    /// <summary>
-    ///     Wraps the current integer between a low and a high value.
-    /// </summary>
-    /// <param name="value">The value to wrap.</param>
-    /// <param name="low">The inclusive lower bound.</param>
-    /// <param name="high">The exclusive upper bound.</param>
-    /// <returns>The wrapped value.</returns>
-    [Pure]
-    [MethodImpl(CompilerResources.MaxOptimization)]
-    public static TNumber Wrap<TNumber>(this TNumber value, TNumber low, TNumber high)
-        where TNumber : INumber<TNumber>
-    {
-        TNumber difference = high - low;
-        return low + (((value - low) % difference) + difference) % difference;
-    }
-
-    /// <summary>
-    ///     Wraps the current integer between 0 and a high value.
-    /// </summary>
-    /// <param name="value">The value to wrap.</param>
-    /// <param name="length">The exclusive upper bound.</param>
-    /// <returns>The wrapped value.</returns>
-    [Pure]
-    [MethodImpl(CompilerResources.MaxOptimization)]
-    public static TNumber Wrap<TNumber>(this TNumber value, TNumber length)
-        where TNumber : INumber<TNumber>
-    {
-        return ((value % length) + length) % length;
-    }
 }

X10D/src/Math/SByteExtensions.cs

@@ -24,6 +24,19 @@ public static class SByteExtensions
         return ((long)value).IsPrime();
     }
 
+    /// <summary>
+    ///     Calculates the lowest common multiple between the current 8-bit signed integer, and another 8-bit signed integer.
+    /// </summary>
+    /// <param name="value">The first value.</param>
+    /// <param name="other">The second value.</param>
+    /// <returns>The lowest common multiple between <paramref name="value" /> and <paramref name="other" />.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static sbyte LowestCommonMultiple(this sbyte value, sbyte other)
+    {
+        return (sbyte)((long)value).LowestCommonMultiple(other);
+    }
+
     /// <summary>
     ///     Returns the multiplicative persistence of a specified value.
     /// </summary>
@@ -72,4 +85,31 @@ public static class SByteExtensions
     {
         return System.Math.Sign(value);
     }
+
+    /// <summary>
+    ///     Wraps the current 8-bit signed integer between a low and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="low">The inclusive lower bound.</param>
+    /// <param name="high">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static sbyte Wrap(this sbyte value, sbyte low, sbyte high)
+    {
+        return (sbyte)((long)value).Wrap(low, high);
+    }
+
+    /// <summary>
+    ///     Wraps the current 8-bit signed integer between 0 and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="length">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static sbyte Wrap(this sbyte value, sbyte length)
+    {
+        return (sbyte)((long)value).Wrap(length);
+    }
 }

X10D/src/Math/SingleExtensions.cs

@@ -268,6 +268,40 @@ public static class SingleExtensions
         return System.Math.Clamp(value, 0.0f, 1.0f);
     }
 
+    /// <summary>
+    ///     Returns an integer that indicates the sign of this single-precision floating-point number.
+    /// </summary>
+    /// <param name="value">A signed number.</param>
+    /// <returns>
+    ///     A number that indicates the sign of <paramref name="value" />, as shown in the following table.
+    ///
+    ///     <list type="table">
+    ///         <listheader>
+    ///             <term>Return value</term>
+    ///             <description>Meaning</description>
+    ///         </listheader>
+    ///
+    ///         <item>
+    ///             <term>-1</term>
+    ///             <description><paramref name="value" /> is less than zero.</description>
+    ///         </item>
+    ///         <item>
+    ///             <term>0</term>
+    ///             <description><paramref name="value" /> is equal to zero.</description>
+    ///         </item>
+    ///         <item>
+    ///             <term>1</term>
+    ///             <description><paramref name="value" /> is greater than zero.</description>
+    ///         </item>
+    ///     </list>
+    /// </returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static int Sign(this float value)
+    {
+        return MathF.Sign(value);
+    }
+
     /// <summary>
     ///     Returns the square root of this single-precision floating-point number.
     /// </summary>
@@ -386,4 +420,31 @@ public static class SingleExtensions
     {
         return MathF.Tanh(value);
     }
+
+    /// <summary>
+    ///     Wraps the current single-precision floating-point number between a low and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="low">The inclusive lower bound.</param>
+    /// <param name="high">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static float Wrap(this float value, float low, float high)
+    {
+        return (float)((double)value).Wrap(low, high);
+    }
+
+    /// <summary>
+    ///     Wraps the current single-precision floating-point number between 0 and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="length">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static float Wrap(this float value, float length)
+    {
+        return (float)((double)value).Wrap(length);
+    }
 }

X10D/src/Math/UInt16Extensions.cs

@@ -24,6 +24,20 @@ public static class UInt16Extensions
         return ((ulong)value).IsPrime();
     }
 
+    /// <summary>
+    ///     Calculates the lowest common multiple between the current 16-bit unsigned integer, and another 16-bit unsigned
+    ///     integer.
+    /// </summary>
+    /// <param name="value">The first value.</param>
+    /// <param name="other">The second value.</param>
+    /// <returns>The lowest common multiple between <paramref name="value" /> and <paramref name="other" />.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static ushort LowestCommonMultiple(this ushort value, ushort other)
+    {
+        return (ushort)((ulong)value).LowestCommonMultiple(other);
+    }
+
     /// <summary>
     ///     Returns the multiplicative persistence of a specified value.
     /// </summary>
@@ -38,4 +52,31 @@ public static class UInt16Extensions
     {
         return ((ulong)value).MultiplicativePersistence();
     }
+
+    /// <summary>
+    ///     Wraps the current 16-bit unsigned integer between a low and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="low">The inclusive lower bound.</param>
+    /// <param name="high">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static ushort Wrap(this ushort value, ushort low, ushort high)
+    {
+        return (ushort)((ulong)value).Wrap(low, high);
+    }
+
+    /// <summary>
+    ///     Wraps the current 16-bit unsigned integer between 0 and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="length">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static ushort Wrap(this ushort value, ushort length)
+    {
+        return (ushort)((ulong)value).Wrap(length);
+    }
 }

X10D/src/Math/UInt32Extensions.cs

@@ -24,6 +24,20 @@ public static class UInt32Extensions
         return ((ulong)value).IsPrime();
     }
 
+    /// <summary>
+    ///     Calculates the lowest common multiple between the current 32-bit unsigned integer, and another 32-bit unsigned
+    ///     integer.
+    /// </summary>
+    /// <param name="value">The first value.</param>
+    /// <param name="other">The second value.</param>
+    /// <returns>The lowest common multiple between <paramref name="value" /> and <paramref name="other" />.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static uint LowestCommonMultiple(this uint value, uint other)
+    {
+        return (uint)((ulong)value).LowestCommonMultiple(other);
+    }
+
     /// <summary>
     ///     Returns the multiplicative persistence of a specified value.
     /// </summary>
@@ -38,4 +52,31 @@ public static class UInt32Extensions
     {
         return ((ulong)value).MultiplicativePersistence();
     }
+
+    /// <summary>
+    ///     Wraps the current 32-bit unsigned integer between a low and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="low">The inclusive lower bound.</param>
+    /// <param name="high">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static uint Wrap(this uint value, uint low, uint high)
+    {
+        return (uint)((ulong)value).Wrap(low, high);
+    }
+
+    /// <summary>
+    ///     Wraps the current 32-bit unsigned integer between 0 and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="length">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static uint Wrap(this uint value, uint length)
+    {
+        return (uint)((ulong)value).Wrap(length);
+    }
 }

X10D/src/Math/UInt64Extensions.cs

@@ -43,6 +43,35 @@ public static class UInt64Extensions
         return true;
     }
 
+    /// <summary>
+    ///     Calculates the lowest common multiple between the current 64-bit unsigned integer, and another 64-bit unsigned
+    ///     integer.
+    /// </summary>
+    /// <param name="value">The first value.</param>
+    /// <param name="other">The second value.</param>
+    /// <returns>The lowest common multiple between <paramref name="value" /> and <paramref name="other" />.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static ulong LowestCommonMultiple(this ulong value, ulong other)
+    {
+        if (value == 0 || other == 0)
+        {
+            return 0;
+        }
+
+        if (value == 1)
+        {
+            return other;
+        }
+
+        if (other == 1)
+        {
+            return value;
+        }
+
+        return value * other / value.GreatestCommonFactor(other);
+    }
+
     /// <summary>
     ///     Returns the multiplicative persistence of a specified value.
     /// </summary>
@@ -88,4 +117,32 @@ public static class UInt64Extensions
 
         return persistence;
     }
+
+    /// <summary>
+    ///     Wraps the current 64-bit unsigned integer between a low and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="low">The inclusive lower bound.</param>
+    /// <param name="high">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static ulong Wrap(this ulong value, ulong low, ulong high)
+    {
+        ulong difference = high - low;
+        return low + (((value - low) % difference) + difference) % difference;
+    }
+
+    /// <summary>
+    ///     Wraps the current 64-bit unsigned integer between 0 and a high value.
+    /// </summary>
+    /// <param name="value">The value to wrap.</param>
+    /// <param name="length">The exclusive upper bound.</param>
+    /// <returns>The wrapped value.</returns>
+    [Pure]
+    [MethodImpl(CompilerResources.MaxOptimization)]
+    public static ulong Wrap(this ulong value, ulong length)
+    {
+        return ((value % length) + length) % length;
+    }
 }