path: root/src/System.Private.CoreLib/shared/System/Numerics/Vector_Operations.cs

// Licensed to the .NET Foundation under one or more agreements.
// The .NET Foundation licenses this file to you under the MIT license.
// See the LICENSE file in the project root for more information.

using System.Runtime.CompilerServices;

namespace System.Numerics
{
    /// <summary>
    /// Contains various methods useful for creating, manipulating, combining, and converting generic vectors with one another.
    /// </summary>
    public static partial class Vector
    {
        // JIT is not looking at the Vector class methods
        // all methods here should be inlined and they must be implemented in terms of Vector<T> intrinsics
        #region Select Methods
        /// <summary>
        /// Creates a new vector with elements selected between the two given source vectors, and based on a mask vector.
        /// </summary>
        /// <param name="condition">The integral mask vector used to drive selection.</param>
        /// <param name="left">The first source vector.</param>
        /// <param name="right">The second source vector.</param>
        /// <returns>The new vector with elements selected based on the mask.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<Single> ConditionalSelect(Vector<int> condition, Vector<Single> left, Vector<Single> right)
        {
            return (Vector<Single>)Vector<Single>.ConditionalSelect((Vector<Single>)condition, left, right);
        }

        /// <summary>
        /// Creates a new vector with elements selected between the two given source vectors, and based on a mask vector.
        /// </summary>
        /// <param name="condition">The integral mask vector used to drive selection.</param>
        /// <param name="left">The first source vector.</param>
        /// <param name="right">The second source vector.</param>
        /// <returns>The new vector with elements selected based on the mask.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<double> ConditionalSelect(Vector<long> condition, Vector<double> left, Vector<double> right)
        {
            return (Vector<double>)Vector<double>.ConditionalSelect((Vector<double>)condition, left, right);
        }

        /// <summary>
        /// Creates a new vector with elements selected between the two given source vectors, and based on a mask vector.
        /// </summary>
        /// <param name="condition">The mask vector used to drive selection.</param>
        /// <param name="left">The first source vector.</param>
        /// <param name="right">The second source vector.</param>
        /// <returns>The new vector with elements selected based on the mask.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> ConditionalSelect<T>(Vector<T> condition, Vector<T> left, Vector<T> right) where T : struct
        {
            return Vector<T>.ConditionalSelect(condition, left, right);
        }
        #endregion Select Methods

        #region Comparison methods
        #region Equals methods
        /// <summary>
        /// Returns a new vector whose elements signal whether the elements in left and right were equal.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> Equals<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            return Vector<T>.Equals(left, right);
        }

        /// <summary>
        /// Returns an integral vector whose elements signal whether elements in the left and right floating point vectors were equal.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<int> Equals(Vector<Single> left, Vector<Single> right)
        {
            return (Vector<int>)Vector<Single>.Equals(left, right);
        }

        /// <summary>
        /// Returns a new vector whose elements signal whether the elements in left and right were equal.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<int> Equals(Vector<int> left, Vector<int> right)
        {
            return Vector<int>.Equals(left, right);
        }

        /// <summary>
        /// Returns an integral vector whose elements signal whether elements in the left and right floating point vectors were equal.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<long> Equals(Vector<double> left, Vector<double> right)
        {
            return (Vector<long>)Vector<double>.Equals(left, right);
        }

        /// <summary>
        /// Returns a new vector whose elements signal whether the elements in left and right were equal.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<long> Equals(Vector<long> left, Vector<long> right)
        {
            return Vector<long>.Equals(left, right);
        }

        /// <summary>
        /// Returns a boolean indicating whether each pair of elements in the given vectors are equal.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The first vector to compare.</param>
        /// <returns>True if all elements are equal; False otherwise.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static bool EqualsAll<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            return left == right;
        }

        /// <summary>
        /// Returns a boolean indicating whether any single pair of elements in the given vectors are equal.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>True if any element pairs are equal; False if no element pairs are equal.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static bool EqualsAny<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            return !Vector<T>.Equals(left, right).Equals(Vector<T>.Zero);
        }
        #endregion Equals methods

        #region Lessthan Methods
        /// <summary>
        /// Returns a new vector whose elements signal whether the elements in left were less than their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> LessThan<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            return Vector<T>.LessThan(left, right);
        }

        /// <summary>
        /// Returns an integral vector whose elements signal whether the elements in left were less than their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant integral vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<int> LessThan(Vector<Single> left, Vector<Single> right)
        {
            return (Vector<int>)Vector<Single>.LessThan(left, right);
        }

        /// <summary>
        /// Returns a new vector whose elements signal whether the elements in left were less than their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<int> LessThan(Vector<int> left, Vector<int> right)
        {
            return Vector<int>.LessThan(left, right);
        }

        /// <summary>
        /// Returns an integral vector whose elements signal whether the elements in left were less than their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant integral vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<long> LessThan(Vector<double> left, Vector<double> right)
        {
            return (Vector<long>)Vector<double>.LessThan(left, right);
        }

        /// <summary>
        /// Returns a new vector whose elements signal whether the elements in left were less than their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<long> LessThan(Vector<long> left, Vector<long> right)
        {
            return Vector<long>.LessThan(left, right);
        }

        /// <summary>
        /// Returns a boolean indicating whether all of the elements in left are less than their corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>True if all elements in left are less than their corresponding elements in right; False otherwise.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static bool LessThanAll<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            Vector<int> cond = (Vector<int>)Vector<T>.LessThan(left, right);
            return cond.Equals(Vector<int>.AllOnes);
        }

        /// <summary>
        /// Returns a boolean indicating whether any element in left is less than its corresponding element in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>True if any elements in left are less than their corresponding elements in right; False otherwise.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static bool LessThanAny<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            Vector<int> cond = (Vector<int>)Vector<T>.LessThan(left, right);
            return !cond.Equals(Vector<int>.Zero);
        }
        #endregion LessthanMethods

        #region Lessthanorequal methods
        /// <summary>
        /// Returns a new vector whose elements signal whether the elements in left were less than or equal to their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> LessThanOrEqual<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            return Vector<T>.LessThanOrEqual(left, right);
        }

        /// <summary>
        /// Returns an integral vector whose elements signal whether the elements in left were less than or equal to their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant integral vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<int> LessThanOrEqual(Vector<Single> left, Vector<Single> right)
        {
            return (Vector<int>)Vector<Single>.LessThanOrEqual(left, right);
        }

        /// <summary>
        /// Returns a new vector whose elements signal whether the elements in left were less than or equal to their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<int> LessThanOrEqual(Vector<int> left, Vector<int> right)
        {
            return Vector<int>.LessThanOrEqual(left, right);
        }

        /// <summary>
        /// Returns a new vector whose elements signal whether the elements in left were less than or equal to their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<long> LessThanOrEqual(Vector<long> left, Vector<long> right)
        {
            return Vector<long>.LessThanOrEqual(left, right);
        }

        /// <summary>
        /// Returns an integral vector whose elements signal whether the elements in left were less than or equal to their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant integral vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<long> LessThanOrEqual(Vector<double> left, Vector<double> right)
        {
            return (Vector<long>)Vector<double>.LessThanOrEqual(left, right);
        }

        /// <summary>
        /// Returns a boolean indicating whether all elements in left are less than or equal to their corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>True if all elements in left are less than or equal to their corresponding elements in right; False otherwise.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static bool LessThanOrEqualAll<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            Vector<int> cond = (Vector<int>)Vector<T>.LessThanOrEqual(left, right);
            return cond.Equals(Vector<int>.AllOnes);
        }

        /// <summary>
        /// Returns a boolean indicating whether any element in left is less than or equal to its corresponding element in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>True if any elements in left are less than their corresponding elements in right; False otherwise.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static bool LessThanOrEqualAny<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            Vector<int> cond = (Vector<int>)Vector<T>.LessThanOrEqual(left, right);
            return !cond.Equals(Vector<int>.Zero);
        }
        #endregion Lessthanorequal methods

        #region Greaterthan methods
        /// <summary>
        /// Returns a new vector whose elements signal whether the elements in left were greater than their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> GreaterThan<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            return Vector<T>.GreaterThan(left, right);
        }

        /// <summary>
        /// Returns an integral vector whose elements signal whether the elements in left were greater than their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant integral vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<int> GreaterThan(Vector<Single> left, Vector<Single> right)
        {
            return (Vector<int>)Vector<Single>.GreaterThan(left, right);
        }

        /// <summary>
        /// Returns a new vector whose elements signal whether the elements in left were greater than their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<int> GreaterThan(Vector<int> left, Vector<int> right)
        {
            return Vector<int>.GreaterThan(left, right);
        }

        /// <summary>
        /// Returns an integral vector whose elements signal whether the elements in left were greater than their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant integral vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<long> GreaterThan(Vector<double> left, Vector<double> right)
        {
            return (Vector<long>)Vector<double>.GreaterThan(left, right);
        }

        /// <summary>
        /// Returns a new vector whose elements signal whether the elements in left were greater than their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<long> GreaterThan(Vector<long> left, Vector<long> right)
        {
            return Vector<long>.GreaterThan(left, right);
        }

        /// <summary>
        /// Returns a boolean indicating whether all elements in left are greater than the corresponding elements in right.
        /// elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>True if all elements in left are greater than their corresponding elements in right; False otherwise.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static bool GreaterThanAll<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            Vector<int> cond = (Vector<int>)Vector<T>.GreaterThan(left, right);
            return cond.Equals(Vector<int>.AllOnes);
        }

        /// <summary>
        /// Returns a boolean indicating whether any element in left is greater than its corresponding element in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>True if any elements in left are greater than their corresponding elements in right; False otherwise.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static bool GreaterThanAny<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            Vector<int> cond = (Vector<int>)Vector<T>.GreaterThan(left, right);
            return !cond.Equals(Vector<int>.Zero);
        }
        #endregion Greaterthan methods

        #region Greaterthanorequal methods
        /// <summary>
        /// Returns a new vector whose elements signal whether the elements in left were greater than or equal to their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> GreaterThanOrEqual<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            return Vector<T>.GreaterThanOrEqual(left, right);
        }

        /// <summary>
        /// Returns an integral vector whose elements signal whether the elements in left were greater than or equal to their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant integral vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<int> GreaterThanOrEqual(Vector<Single> left, Vector<Single> right)
        {
            return (Vector<int>)Vector<Single>.GreaterThanOrEqual(left, right);
        }

        /// <summary>
        /// Returns a new vector whose elements signal whether the elements in left were greater than or equal to their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<int> GreaterThanOrEqual(Vector<int> left, Vector<int> right)
        {
            return Vector<int>.GreaterThanOrEqual(left, right);
        }

        /// <summary>
        /// Returns a new vector whose elements signal whether the elements in left were greater than or equal to their
        /// corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<long> GreaterThanOrEqual(Vector<long> left, Vector<long> right)
        {
            return Vector<long>.GreaterThanOrEqual(left, right);
        }

        /// <summary>
        /// Returns an integral vector whose elements signal whether the elements in left were greater than or equal to 
        /// their corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>The resultant integral vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<long> GreaterThanOrEqual(Vector<double> left, Vector<double> right)
        {
            return (Vector<long>)Vector<double>.GreaterThanOrEqual(left, right);
        }

        /// <summary>
        /// Returns a boolean indicating whether all of the elements in left are greater than or equal to 
        /// their corresponding elements in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>True if all elements in left are greater than or equal to their corresponding elements in right; False otherwise.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static bool GreaterThanOrEqualAll<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            Vector<int> cond = (Vector<int>)Vector<T>.GreaterThanOrEqual(left, right);
            return cond.Equals(Vector<int>.AllOnes);
        }

        /// <summary>
        /// Returns a boolean indicating whether any element in left is greater than or equal to its corresponding element in right.
        /// </summary>
        /// <param name="left">The first vector to compare.</param>
        /// <param name="right">The second vector to compare.</param>
        /// <returns>True if any elements in left are greater than or equal to their corresponding elements in right; False otherwise.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static bool GreaterThanOrEqualAny<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            Vector<int> cond = (Vector<int>)Vector<T>.GreaterThanOrEqual(left, right);
            return !cond.Equals(Vector<int>.Zero);
        }
        #endregion Greaterthanorequal methods
        #endregion Comparison methods

        #region Vector Math Methods
        // Every operation must either be a JIT intrinsic or implemented over a JIT intrinsic
        // as a thin wrapper
        // Operations implemented over a JIT intrinsic should be inlined
        // Methods that do not have a <T> type parameter are recognized as intrinsics
        /// <summary>
        /// Returns whether or not vector operations are subject to hardware acceleration through JIT intrinsic support.
        /// </summary>
        public static bool IsHardwareAccelerated
        {
            [Intrinsic]
            get
            {
                return false;
            }
        }

        // Vector<T>
        // Basic Math
        // All Math operations for Vector<T> are aggressively inlined here

        /// <summary>
        /// Returns a new vector whose elements are the absolute values of the given vector's elements.
        /// </summary>
        /// <param name="value">The source vector.</param>
        /// <returns>The absolute value vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> Abs<T>(Vector<T> value) where T : struct
        {
            return Vector<T>.Abs(value);
        }

        /// <summary>
        /// Returns a new vector whose elements are the minimum of each pair of elements in the two given vectors.
        /// </summary>
        /// <param name="left">The first source vector.</param>
        /// <param name="right">The second source vector.</param>
        /// <returns>The minimum vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> Min<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            return Vector<T>.Min(left, right);
        }

        /// <summary>
        /// Returns a new vector whose elements are the maximum of each pair of elements in the two given vectors.
        /// </summary>
        /// <param name="left">The first source vector.</param>
        /// <param name="right">The second source vector.</param>
        /// <returns>The maximum vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> Max<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            return Vector<T>.Max(left, right);
        }

        // Specialized vector operations

        /// <summary>
        /// Returns the dot product of two vectors.
        /// </summary>
        /// <param name="left">The first source vector.</param>
        /// <param name="right">The second source vector.</param>
        /// <returns>The dot product.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static T Dot<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            return Vector<T>.DotProduct(left, right);
        }

        /// <summary>
        /// Returns a new vector whose elements are the square roots of the given vector's elements.
        /// </summary>
        /// <param name="value">The source vector.</param>
        /// <returns>The square root vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> SquareRoot<T>(Vector<T> value) where T : struct
        {
            return Vector<T>.SquareRoot(value);
        }
        #endregion Vector Math Methods

        #region Named Arithmetic Operators
        /// <summary>
        /// Creates a new vector whose values are the sum of each pair of elements from the two given vectors.
        /// </summary>
        /// <param name="left">The first source vector.</param>
        /// <param name="right">The second source vector.</param>
        /// <returns>The summed vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> Add<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            return left + right;
        }

        /// <summary>
        /// Creates a new vector whose values are the difference between each pairs of elements in the given vectors.
        /// </summary>
        /// <param name="left">The first source vector.</param>
        /// <param name="right">The second source vector.</param>
        /// <returns>The difference vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> Subtract<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            return left - right;
        }

        /// <summary>
        /// Creates a new vector whose values are the product of each pair of elements from the two given vectors.
        /// </summary>
        /// <param name="left">The first source vector.</param>
        /// <param name="right">The second source vector.</param>
        /// <returns>The summed vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> Multiply<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            return left * right;
        }

        /// <summary>
        /// Returns a new vector whose values are the values of the given vector each multiplied by a scalar value.
        /// </summary>
        /// <param name="left">The source vector.</param>
        /// <param name="right">The scalar factor.</param>
        /// <returns>The scaled vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> Multiply<T>(Vector<T> left, T right) where T : struct
        {
            return left * right;
        }

        /// <summary>
        /// Returns a new vector whose values are the values of the given vector each multiplied by a scalar value.
        /// </summary>
        /// <param name="left">The scalar factor.</param>
        /// <param name="right">The source vector.</param>
        /// <returns>The scaled vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> Multiply<T>(T left, Vector<T> right) where T : struct
        {
            return left * right;
        }

        /// <summary>
        /// Returns a new vector whose values are the result of dividing the first vector's elements 
        /// by the corresponding elements in the second vector.
        /// </summary>
        /// <param name="left">The first source vector.</param>
        /// <param name="right">The second source vector.</param>
        /// <returns>The divided vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> Divide<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            return left / right;
        }

        /// <summary>
        /// Returns a new vector whose elements are the given vector's elements negated.
        /// </summary>
        /// <param name="value">The source vector.</param>
        /// <returns>The negated vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> Negate<T>(Vector<T> value) where T : struct
        {
            return -value;
        }
        #endregion Named Arithmetic Operators

        #region Named Bitwise Operators
        /// <summary>
        /// Returns a new vector by performing a bitwise-and operation on each of the elements in the given vectors.
        /// </summary>
        /// <param name="left">The first source vector.</param>
        /// <param name="right">The second source vector.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> BitwiseAnd<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            return left & right;
        }

        /// <summary>
        /// Returns a new vector by performing a bitwise-or operation on each of the elements in the given vectors.
        /// </summary>
        /// <param name="left">The first source vector.</param>
        /// <param name="right">The second source vector.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> BitwiseOr<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            return left | right;
        }

        /// <summary>
        /// Returns a new vector whose elements are obtained by taking the one's complement of the given vector's elements.
        /// </summary>
        /// <param name="value">The source vector.</param>
        /// <returns>The one's complement vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> OnesComplement<T>(Vector<T> value) where T : struct
        {
            return ~value;
        }

        /// <summary>
        /// Returns a new vector by performing a bitwise-exclusive-or operation on each of the elements in the given vectors.
        /// </summary>
        /// <param name="left">The first source vector.</param>
        /// <param name="right">The second source vector.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> Xor<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            return left ^ right;
        }

        /// <summary>
        /// Returns a new vector by performing a bitwise-and-not operation on each of the elements in the given vectors.
        /// </summary>
        /// <param name="left">The first source vector.</param>
        /// <param name="right">The second source vector.</param>
        /// <returns>The resultant vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<T> AndNot<T>(Vector<T> left, Vector<T> right) where T : struct
        {
            return left & ~right;
        }
        #endregion Named Bitwise Operators

        #region Conversion Methods
        /// <summary>
        /// Reinterprets the bits of the given vector into those of a vector of unsigned bytes.
        /// </summary>
        /// <param name="value">The source vector</param>
        /// <returns>The reinterpreted vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<Byte> AsVectorByte<T>(Vector<T> value) where T : struct
        {
            return (Vector<Byte>)value;
        }

        /// <summary>
        /// Reinterprets the bits of the given vector into those of a vector of signed bytes.
        /// </summary>
        /// <param name="value">The source vector</param>
        /// <returns>The reinterpreted vector.</returns>
        [CLSCompliant(false)]
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<SByte> AsVectorSByte<T>(Vector<T> value) where T : struct
        {
            return (Vector<SByte>)value;
        }

        /// <summary>
        /// Reinterprets the bits of the given vector into those of a vector of 16-bit integers.
        /// </summary>
        /// <param name="value">The source vector</param>
        /// <returns>The reinterpreted vector.</returns>
        [CLSCompliant(false)]
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<UInt16> AsVectorUInt16<T>(Vector<T> value) where T : struct
        {
            return (Vector<UInt16>)value;
        }

        /// <summary>
        /// Reinterprets the bits of the given vector into those of a vector of signed 16-bit integers.
        /// </summary>
        /// <param name="value">The source vector</param>
        /// <returns>The reinterpreted vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<Int16> AsVectorInt16<T>(Vector<T> value) where T : struct
        {
            return (Vector<Int16>)value;
        }

        /// <summary>
        /// Reinterprets the bits of the given vector into those of a vector of unsigned 32-bit integers.
        /// </summary>
        /// <param name="value">The source vector</param>
        /// <returns>The reinterpreted vector.</returns>
        [CLSCompliant(false)]
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<UInt32> AsVectorUInt32<T>(Vector<T> value) where T : struct
        {
            return (Vector<UInt32>)value;
        }

        /// <summary>
        /// Reinterprets the bits of the given vector into those of a vector of signed 32-bit integers.
        /// </summary>
        /// <param name="value">The source vector</param>
        /// <returns>The reinterpreted vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<Int32> AsVectorInt32<T>(Vector<T> value) where T : struct
        {
            return (Vector<Int32>)value;
        }

        /// <summary>
        /// Reinterprets the bits of the given vector into those of a vector of unsigned 64-bit integers.
        /// </summary>
        /// <param name="value">The source vector</param>
        /// <returns>The reinterpreted vector.</returns>
        [CLSCompliant(false)]
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<UInt64> AsVectorUInt64<T>(Vector<T> value) where T : struct
        {
            return (Vector<UInt64>)value;
        }


        /// <summary>
        /// Reinterprets the bits of the given vector into those of a vector of signed 64-bit integers.
        /// </summary>
        /// <param name="value">The source vector</param>
        /// <returns>The reinterpreted vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<Int64> AsVectorInt64<T>(Vector<T> value) where T : struct
        {
            return (Vector<Int64>)value;
        }

        /// <summary>
        /// Reinterprets the bits of the given vector into those of a vector of 32-bit floating point numbers.
        /// </summary>
        /// <param name="value">The source vector</param>
        /// <returns>The reinterpreted vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<Single> AsVectorSingle<T>(Vector<T> value) where T : struct
        {
            return (Vector<Single>)value;
        }

        /// <summary>
        /// Reinterprets the bits of the given vector into those of a vector of 64-bit floating point numbers.
        /// </summary>
        /// <param name="value">The source vector</param>
        /// <returns>The reinterpreted vector.</returns>
        [MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
        public static Vector<Double> AsVectorDouble<T>(Vector<T> value) where T : struct
        {
            return (Vector<Double>)value;
        }
        #endregion Conversion Methods
    }
}