Opentk/Source/OpenTK/Math/Vector2d.cs

#region --- License ---
/*
Copyright (c) 2006 - 2008 The Open Toolkit library.

Permission is hereby granted, free of charge, to any person obtaining a copy of
this software and associated documentation files (the "Software"), to deal in
the Software without restriction, including without limitation the rights to
use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies
of the Software, and to permit persons to whom the Software is furnished to do
so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
*/
#endregion

using System;
using System.Runtime.InteropServices;

namespace OpenTK.Math
{
    /// <summary>Represents a 2D vector using two double-precision floating-point numbers.</summary>
    [Serializable]
    [StructLayout(LayoutKind.Sequential)]
    public struct Vector2d : IEquatable<Vector2d>
    {
        #region Fields

        /// <summary>The X coordinate of this instance.</summary>
        public double X;

        /// <summary>The Y coordinate of this instance.</summary>
        public double Y;

        /// <summary>
        /// Defines a unit-length Vector2d that points towards the X-axis.
        /// </summary>
        public static Vector2d UnitX = new Vector2d(1, 0);

        /// <summary>
        /// Defines a unit-length Vector2d that points towards the Y-axis.
        /// </summary>
        public static Vector2d UnitY = new Vector2d(0, 1);

        /// <summary>
        /// Defines a zero-length Vector2d.
        /// </summary>
        public static Vector2d Zero = new Vector2d(0, 0);

        /// <summary>
        /// Defines the size of the Vector2d struct in bytes.
        /// </summary>
        public static readonly int SizeInBytes = Marshal.SizeOf(new Vector2d());

        #endregion

        #region Constructors

        /// <summary>Constructs left vector with the given coordinates.</summary>
        /// <param name="x">The X coordinate.</param>
        /// <param name="y">The Y coordinate.</param>
        public Vector2d(double x, double y)
        {
            this.X = x;
            this.Y = y;
        }

        #endregion

        #region Public Members

        #region Instance

        #region public void Add()

        /// <summary>Add the Vector passed as parameter to this instance.</summary>
        /// <param name="right">Right operand. This parameter is only read from.</param>
        public void Add(Vector2d right)
        {
            this.X += right.X;
            this.Y += right.Y;
        }

        /// <summary>Add the Vector passed as parameter to this instance.</summary>
        /// <param name="right">Right operand. This parameter is only read from.</param>
        [CLSCompliant(false)]
        public void Add(ref Vector2d right)
        {
            this.X += right.X;
            this.Y += right.Y;
        }

        #endregion public void Add()

        #region public void Sub()

        /// <summary>Subtract the Vector passed as parameter from this instance.</summary>
        /// <param name="right">Right operand. This parameter is only read from.</param>
        public void Sub(Vector2d right)
        {
            this.X -= right.X;
            this.Y -= right.Y;
        }

        /// <summary>Subtract the Vector passed as parameter from this instance.</summary>
        /// <param name="right">Right operand. This parameter is only read from.</param>
        [CLSCompliant(false)]
        public void Sub(ref Vector2d right)
        {
            this.X -= right.X;
            this.Y -= right.Y;
        }

        #endregion public void Sub()

        #region public void Mult()

        /// <summary>Multiply this instance by a scalar.</summary>
        /// <param name="f">Scalar operand.</param>
        public void Mult(double f)
        {
            this.X *= f;
            this.Y *= f;
        }

        #endregion public void Mult()

        #region public void Div()

        /// <summary>Divide this instance by a scalar.</summary>
        /// <param name="f">Scalar operand.</param>
        public void Div(double f)
        {
            double mult = 1.0 / f;
            this.X *= mult;
            this.Y *= mult;
        }

        #endregion public void Div()

        #region public double Length

        /// <summary>
        /// Gets the length (magnitude) of the vector.
        /// </summary>
        /// <seealso cref="LengthSquared"/>
        public double Length
        {
            get
            {
                return (float)System.Math.Sqrt(X * X + Y * Y);
            }
        }

        #endregion

        #region public double LengthSquared

        /// <summary>
        /// Gets the square of the vector length (magnitude).
        /// </summary>
        /// <remarks>
        /// This property avoids the costly square root operation required by the Length property. This makes it more suitable
        /// for comparisons.
        /// </remarks>
        /// <see cref="Length"/>
        /// <seealso cref="FastLength"/>
        public double LengthSquared
        {
            get
            {
                return X * X + Y * Y;
            }
        }

        #endregion

        #region public Vector2d PerpendicularRight

        /// <summary>
        /// Gets the perpendicular vector on the right side of this vector.
        /// </summary>
        public Vector2d PerpendicularRight
        {
            get
            {
                return new Vector2d(Y, -X);
            }
        }

        #endregion

        #region public Vector2d PerpendicularLeft

        /// <summary>
        /// Gets the perpendicular vector on the left side of this vector.
        /// </summary>
        public Vector2d PerpendicularLeft
        {
            get
            {
                return new Vector2d(-Y, X);
            }
        }

        #endregion

        #region public void Normalize()

        /// <summary>
        /// Scales the Vector2 to unit length.
        /// </summary>
        public void Normalize()
        {
            double scale = 1.0f / Length;
            X *= scale;
            Y *= scale;
        }

        #endregion

        #region public void Scale()

        /// <summary>
        /// Scales the current Vector2 by the given amounts.
        /// </summary>
        /// <param name="sx">The scale of the X component.</param>
        /// <param name="sy">The scale of the Y component.</param>
        public void Scale(double sx, double sy)
        {
            X *= sx;
            Y *= sy;
        }

        /// <summary>Scales this instance by the given parameter.</summary>
        /// <param name="scale">The scaling of the individual components.</param>
        public void Scale(Vector2d scale)
        {
            this.X *= scale.X;
            this.Y *= scale.Y;
        }

        /// <summary>Scales this instance by the given parameter.</summary>
        /// <param name="scale">The scaling of the individual components.</param>
        [CLSCompliant(false)]
        public void Scale(ref Vector2d scale)
        {
            this.X *= scale.X;
            this.Y *= scale.Y;
        }

        #endregion public void Scale()

        #endregion

        #region Static

        #region Add

        /// <summary>
        /// Add two Vectors
        /// </summary>
        /// <param name="a">First operand</param>
        /// <param name="b">Second operand</param>
        /// <returns>Result of addition</returns>
        public static Vector2d Add(Vector2d a, Vector2d b)
        {
            a.X += b.X;
            a.Y += b.Y;
            return a;
        }

        /// <summary>
        /// Add two Vectors
        /// </summary>
        /// <param name="a">First operand</param>
        /// <param name="b">Second operand</param>
        /// <param name="result">Result of addition</param>
        public static void Add(ref Vector2d a, ref Vector2d b, out Vector2d result)
        {
            result.X = a.X + b.X;
            result.Y = a.Y + b.Y;
        }

        #endregion

        #region Sub

        /// <summary>
        /// Subtract one Vector from another
        /// </summary>
        /// <param name="a">First operand</param>
        /// <param name="b">Second operand</param>
        /// <returns>Result of subtraction</returns>
        public static Vector2d Sub(Vector2d a, Vector2d b)
        {
            a.X -= b.X;
            a.Y -= b.Y;
            return a;
        }

        /// <summary>
        /// Subtract one Vector from another
        /// </summary>
        /// <param name="a">First operand</param>
        /// <param name="b">Second operand</param>
        /// <param name="result">Result of subtraction</param>
        public static void Sub(ref Vector2d a, ref Vector2d b, out Vector2d result)
        {
            result.X = a.X - b.X;
            result.Y = a.Y - b.Y;
        }

        #endregion

        #region Mult

        /// <summary>
        /// Multiply a vector and a scalar
        /// </summary>
        /// <param name="a">Vector operand</param>
        /// <param name="f">Scalar operand</param>
        /// <returns>Result of the multiplication</returns>
        public static Vector2d Mult(Vector2d a, double d)
        {
            a.X *= d;
            a.Y *= d;
            return a;
        }

        /// <summary>
        /// Multiply a vector and a scalar
        /// </summary>
        /// <param name="a">Vector operand</param>
        /// <param name="f">Scalar operand</param>
        /// <param name="result">Result of the multiplication</param>
        public static void Mult(ref Vector2d a, double d, out Vector2d result)
        {
            result.X = a.X * d;
            result.Y = a.Y * d;
        }

        #endregion

        #region Div

        /// <summary>
        /// Divide a vector by a scalar
        /// </summary>
        /// <param name="a">Vector operand</param>
        /// <param name="f">Scalar operand</param>
        /// <returns>Result of the division</returns>
        public static Vector2d Div(Vector2d a, double d)
        {
            double mult = 1.0 / d;
            a.X *= mult;
            a.Y *= mult;
            return a;
        }

        /// <summary>
        /// Divide a vector by a scalar
        /// </summary>
        /// <param name="a">Vector operand</param>
        /// <param name="f">Scalar operand</param>
        /// <param name="result">Result of the division</param>
        public static void Div(ref Vector2d a, double d, out Vector2d result)
        {
            double mult = 1.0 / d;
            result.X = a.X * mult;
            result.Y = a.Y * mult;
        }

        #endregion

        #region Min

        /// <summary>
        /// Calculate the component-wise minimum of two vectors
        /// </summary>
        /// <param name="a">First operand</param>
        /// <param name="b">Second operand</param>
        /// <returns>The component-wise minimum</returns>
        public static Vector2d Min(Vector2d a, Vector2d b)
        {
            a.X = a.X < b.X ? a.X : b.X;
            a.Y = a.Y < b.Y ? a.Y : b.Y;
            return a;
        }

        /// <summary>
        /// Calculate the component-wise minimum of two vectors
        /// </summary>
        /// <param name="a">First operand</param>
        /// <param name="b">Second operand</param>
        /// <param name="result">The component-wise minimum</param>
        public static void Min(ref Vector2d a, ref Vector2d b, out Vector2d result)
        {
            result.X = a.X < b.X ? a.X : b.X;
            result.Y = a.Y < b.Y ? a.Y : b.Y;
        }

        #endregion

        #region Max

        /// <summary>
        /// Calculate the component-wise maximum of two vectors
        /// </summary>
        /// <param name="a">First operand</param>
        /// <param name="b">Second operand</param>
        /// <returns>The component-wise maximum</returns>
        public static Vector2d Max(Vector2d a, Vector2d b)
        {
            a.X = a.X > b.X ? a.X : b.X;
            a.Y = a.Y > b.Y ? a.Y : b.Y;
            return a;
        }

        /// <summary>
        /// Calculate the component-wise maximum of two vectors
        /// </summary>
        /// <param name="a">First operand</param>
        /// <param name="b">Second operand</param>
        /// <param name="result">The component-wise maximum</param>
        public static void Max(ref Vector2d a, ref Vector2d b, out Vector2d result)
        {
            result.X = a.X > b.X ? a.X : b.X;
            result.Y = a.Y > b.Y ? a.Y : b.Y;
        }

        #endregion

        #region Clamp

        /// <summary>
        /// Clamp a vector to the given minimum and maximum vectors
        /// </summary>
        /// <param name="vec">Input vector</param>
        /// <param name="min">Minimum vector</param>
        /// <param name="max">Maximum vector</param>
        /// <returns>The clamped vector</returns>
        public static Vector2d Clamp(Vector2d vec, Vector2d min, Vector2d max)
        {
            vec.X = vec.X < min.X ? min.X : vec.X > max.X ? max.X : vec.X;
            vec.Y = vec.Y < min.Y ? min.Y : vec.Y > max.Y ? max.Y : vec.Y;
            return vec;
        }

        /// <summary>
        /// Clamp a vector to the given minimum and maximum vectors
        /// </summary>
        /// <param name="vec">Input vector</param>
        /// <param name="min">Minimum vector</param>
        /// <param name="max">Maximum vector</param>
        /// <param name="result">The clamped vector</param>
        public static void Clamp(ref Vector2d vec, ref Vector2d min, ref Vector2d max, out Vector2d result)
        {
            result.X = vec.X < min.X ? min.X : vec.X > max.X ? max.X : vec.X;
            result.Y = vec.Y < min.Y ? min.Y : vec.Y > max.Y ? max.Y : vec.Y;
        }

        #endregion

        #region Normalize

        /// <summary>
        /// Scale a vector to unit length
        /// </summary>
        /// <param name="vec">The input vector</param>
        /// <returns>The normalized vector</returns>
        public static Vector2d Normalize(Vector2d vec)
        {
            double scale = 1.0f / vec.Length;
            vec.X *= scale;
            vec.Y *= scale;
            return vec;
        }

        /// <summary>
        /// Scale a vector to unit length
        /// </summary>
        /// <param name="vec">The input vector</param>
        /// <param name="result">The normalized vector</param>
        public static void Normalize(ref Vector2d vec, out Vector2d result)
        {
            double scale = 1.0f / vec.Length;
            result.X = vec.X * scale;
            result.Y = vec.Y * scale;
        }

        #endregion

        #region NormalizeFast

        /// <summary>
        /// Scale a vector to approximately unit length
        /// </summary>
        /// <param name="vec">The input vector</param>
        /// <returns>The normalized vector</returns>
        public static Vector2d NormalizeFast(Vector2d vec)
        {
            double scale = Functions.InverseSqrtFast(vec.X * vec.X + vec.Y * vec.Y);
            vec.X *= scale;
            vec.Y *= scale;
            return vec;
        }

        /// <summary>
        /// Scale a vector to approximately unit length
        /// </summary>
        /// <param name="vec">The input vector</param>
        /// <param name="result">The normalized vector</param>
        public static void NormalizeFast(ref Vector2d vec, out Vector2d result)
        {
            double scale = Functions.InverseSqrtFast(vec.X * vec.X + vec.Y * vec.Y);
            result.X = vec.X * scale;
            result.Y = vec.Y * scale;
        }

        #endregion

        #region Dot

        /// <summary>
        /// Calculate the dot (scalar) product of two vectors
        /// </summary>
        /// <param name="left">First operand</param>
        /// <param name="right">Second operand</param>
        /// <returns>The dot product of the two inputs</returns>
        public static double Dot(Vector2d left, Vector2d right)
        {
            return left.X * right.X + left.Y * right.Y;
        }

        /// <summary>
        /// Calculate the dot (scalar) product of two vectors
        /// </summary>
        /// <param name="left">First operand</param>
        /// <param name="right">Second operand</param>
        /// <param name="result">The dot product of the two inputs</param>
        public static void Dot(ref Vector2d left, ref Vector2d right, out double result)
        {
            result = left.X * right.X + left.Y * right.Y;
        }

        #endregion

        #region Lerp

        /// <summary>
        /// Returns a new Vector that is the linear blend of the 2 given Vectors
        /// </summary>
        /// <param name="a">First input vector</param>
        /// <param name="b">Second input vector</param>
        /// <param name="blend">The blend factor. a when blend=0, b when blend=1.</param>
        /// <returns>a when blend=0, b when blend=1, and a linear combination otherwise</returns>
        public static Vector2d Lerp(Vector2d a, Vector2d b, double blend)
        {
            a.X = blend * (b.X - a.X) + a.X;
            a.Y = blend * (b.Y - a.Y) + a.Y;
            return a;
        }

        /// <summary>
        /// Returns a new Vector that is the linear blend of the 2 given Vectors
        /// </summary>
        /// <param name="a">First input vector</param>
        /// <param name="b">Second input vector</param>
        /// <param name="blend">The blend factor. a when blend=0, b when blend=1.</param>
        /// <param name="result">a when blend=0, b when blend=1, and a linear combination otherwise</param>
        public static void Lerp(ref Vector2d a, ref Vector2d b, double blend, out Vector2d result)
        {
            result.X = blend * (b.X - a.X) + a.X;
            result.Y = blend * (b.Y - a.Y) + a.Y;
        }

        #endregion

        #region Barycentric

        /// <summary>
        /// Interpolate 3 Vectors using Barycentric coordinates
        /// </summary>
        /// <param name="a">First input Vector</param>
        /// <param name="b">Second input Vector</param>
        /// <param name="c">Third input Vector</param>
        /// <param name="u">First Barycentric Coordinate</param>
        /// <param name="v">Second Barycentric Coordinate</param>
        /// <returns>a when u=v=0, b when u=1,v=0, c when u=0,v=1, and a linear combination of a,b,c otherwise</returns>
        public static Vector2d BaryCentric(Vector2d a, Vector2d b, Vector2d c, double u, double v)
        {
            return a + u * (b - a) + v * (c - a);
        }

        /// <summary>Interpolate 3 Vectors using Barycentric coordinates</summary>
        /// <param name="a">First input Vector.</param>
        /// <param name="b">Second input Vector.</param>
        /// <param name="c">Third input Vector.</param>
        /// <param name="u">First Barycentric Coordinate.</param>
        /// <param name="v">Second Barycentric Coordinate.</param>
        /// <param name="result">Output Vector. a when u=v=0, b when u=1,v=0, c when u=0,v=1, and a linear combination of a,b,c otherwise</param>
        public static void BaryCentric(ref Vector2d a, ref Vector2d b, ref Vector2d c, float u, float v, out Vector2d result)
        {
            result = a; // copy

            Vector2d temp = b; // copy
            temp.Sub(ref a);
            temp.Mult(u);
            result.Add(ref temp);

            temp = c; // copy
            temp.Sub(ref a);
            temp.Mult(v);
            result.Add(ref temp);
        }

        #endregion

        #endregion

        #region Operators

        public static Vector2d operator +(Vector2d left, Vector2d right)
        {
            left.X += right.X;
            left.Y += right.Y;
            return left;
        }

        public static Vector2d operator -(Vector2d left, Vector2d right)
        {
            left.X -= right.X;
            left.Y -= right.Y;
            return left;
        }

        public static Vector2d operator -(Vector2d vec)
        {
            vec.X = -vec.X;
            vec.Y = -vec.Y;
            return vec;
        }

        public static Vector2d operator *(Vector2d vec, double f)
        {
            vec.X *= f;
            vec.Y *= f;
            return vec;
        }

        public static Vector2d operator *(double f, Vector2d vec)
        {
            vec.X *= f;
            vec.Y *= f;
            return vec;
        }

        public static Vector2d operator /(Vector2d vec, double f)
        {
            double mult = 1.0f / f;
            vec.X *= mult;
            vec.Y *= mult;
            return vec;
        }

        public static bool operator ==(Vector2d left, Vector2d right)
        {
            return left.Equals(right);
        }

        public static bool operator !=(Vector2d left, Vector2d right)
        {
            return !left.Equals(right);
        }

        /// <summary>Converts OpenTK.Math.Vector2 to OpenTK.Math.Vector2d.</summary>
        /// <param name="v2">The Vector2 to convert.</param>
        /// <returns>The resulting Vector2d.</returns>
        public static explicit operator Vector2d(Vector2 v2)
        {
            return new Vector2d(v2.X, v2.Y);
        }

        /// <summary>Converts OpenTK.Math.Vector2d to OpenTK.Math.Vector2.</summary>
        /// <param name="v2d">The Vector2d to convert.</param>
        /// <returns>The resulting Vector2.</returns>
        public static explicit operator Vector2(Vector2d v2d)
        {
            return new Vector2((float)v2d.X, (float)v2d.Y);
        }

        #endregion

        #region Overrides

        #region public override string ToString()

        /// <summary>
        /// Returns a System.String that represents the current instance.
        /// </summary>
        /// <returns></returns>
        public override string ToString()
        {
            return String.Format("({0}, {1})", X, Y);
        }

        #endregion

        #region public override int GetHashCode()

        /// <summary>
        /// Returns the hashcode for this instance.
        /// </summary>
        /// <returns>A System.Int32 containing the unique hashcode for this instance.</returns>
        public override int GetHashCode()
        {
            return X.GetHashCode() ^ Y.GetHashCode();
        }

        #endregion

        #region public override bool Equals(object obj)

        /// <summary>
        /// Indicates whether this instance and a specified object are equal.
        /// </summary>
        /// <param name="obj">The object to compare to.</param>
        /// <returns>True if the instances are equal; false otherwise.</returns>
        public override bool Equals(object obj)
        {
            if (!(obj is Vector2d))
                return false;

            return this.Equals((Vector2d)obj);
        }

        #endregion

        #endregion

        #endregion

        #region IEquatable<Vector2d> Members

        /// <summary>Indicates whether the current vector is equal to another vector.</summary>
        /// <param name="vector">A vector to compare with this vector.</param>
        /// <returns>true if the current vector is equal to the vector parameter; otherwise, false.</returns>
        public bool Equals(Vector2d other)
        {
            return
                X == other.X &&
                Y == other.Y;
        }

        #endregion
    }
}