mirror of
https://github.com/Ryujinx/Opentk.git
synced 2024-12-27 07:15:29 +00:00
999 lines
31 KiB
C#
999 lines
31 KiB
C#
#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;
|
|
using System.Xml.Serialization;
|
|
|
|
namespace OpenTK.Math
|
|
{
|
|
/// <summary>Represents a 4D vector using four single-precision floating-point numbers.</summary>
|
|
/// <remarks>
|
|
/// The Vector4 structure is suitable for interoperation with unmanaged code requiring four consecutive floats.
|
|
/// </remarks>
|
|
[Obsolete("OpenTK.Math functions have been moved to the root OpenTK namespace (reason: XNA compatibility")]
|
|
[Serializable]
|
|
[StructLayout(LayoutKind.Sequential)]
|
|
public struct Vector4 : IEquatable<Vector4>
|
|
{
|
|
#region Fields
|
|
|
|
/// <summary>
|
|
/// The X component of the Vector4.
|
|
/// </summary>
|
|
public float X;
|
|
|
|
/// <summary>
|
|
/// The Y component of the Vector4.
|
|
/// </summary>
|
|
public float Y;
|
|
|
|
/// <summary>
|
|
/// The Z component of the Vector4.
|
|
/// </summary>
|
|
public float Z;
|
|
|
|
/// <summary>
|
|
/// The W component of the Vector4.
|
|
/// </summary>
|
|
public float W;
|
|
|
|
/// <summary>
|
|
/// Defines a unit-length Vector4 that points towards the X-axis.
|
|
/// </summary>
|
|
public static Vector4 UnitX = new Vector4(1, 0, 0, 0);
|
|
|
|
/// <summary>
|
|
/// Defines a unit-length Vector4 that points towards the Y-axis.
|
|
/// </summary>
|
|
public static Vector4 UnitY = new Vector4(0, 1, 0, 0);
|
|
|
|
/// <summary>
|
|
/// Defines a unit-length Vector4 that points towards the Z-axis.
|
|
/// </summary>
|
|
public static Vector4 UnitZ = new Vector4(0, 0, 1, 0);
|
|
|
|
/// <summary>
|
|
/// Defines a unit-length Vector4 that points towards the W-axis.
|
|
/// </summary>
|
|
public static Vector4 UnitW = new Vector4(0, 0, 0, 1);
|
|
|
|
/// <summary>
|
|
/// Defines a zero-length Vector4.
|
|
/// </summary>
|
|
public static Vector4 Zero = new Vector4(0, 0, 0, 0);
|
|
|
|
/// <summary>
|
|
/// Defines an instance with all components set to 1.
|
|
/// </summary>
|
|
public static readonly Vector4 One = new Vector4(1, 1, 1, 1);
|
|
|
|
/// <summary>
|
|
/// Defines the size of the Vector4 struct in bytes.
|
|
/// </summary>
|
|
public static readonly int SizeInBytes = Marshal.SizeOf(new Vector4());
|
|
|
|
#endregion
|
|
|
|
#region Constructors
|
|
|
|
/// <summary>
|
|
/// Constructs a new Vector4.
|
|
/// </summary>
|
|
/// <param name="x">The x component of the Vector4.</param>
|
|
/// <param name="y">The y component of the Vector4.</param>
|
|
/// <param name="z">The z component of the Vector4.</param>
|
|
/// <param name="w">The w component of the Vector4.</param>
|
|
public Vector4(float x, float y, float z, float w)
|
|
{
|
|
X = x;
|
|
Y = y;
|
|
Z = z;
|
|
W = w;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Constructs a new Vector4 from the given Vector2.
|
|
/// </summary>
|
|
/// <param name="v">The Vector2 to copy components from.</param>
|
|
public Vector4(Vector2 v)
|
|
{
|
|
X = v.X;
|
|
Y = v.Y;
|
|
Z = 0.0f;
|
|
W = 0.0f;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Constructs a new Vector4 from the given Vector3.
|
|
/// </summary>
|
|
/// <param name="v">The Vector3 to copy components from.</param>
|
|
public Vector4(Vector3 v)
|
|
{
|
|
X = v.X;
|
|
Y = v.Y;
|
|
Z = v.Z;
|
|
W = 0.0f;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Constructs a new Vector4 from the specified Vector3 and w component.
|
|
/// </summary>
|
|
/// <param name="v">The Vector3 to copy components from.</param>
|
|
/// <param name="w">The w component of the new Vector4.</param>
|
|
public Vector4(Vector3 v, float w)
|
|
{
|
|
X = v.X;
|
|
Y = v.Y;
|
|
Z = v.Z;
|
|
W = w;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Constructs a new Vector4 from the given Vector4.
|
|
/// </summary>
|
|
/// <param name="v">The Vector4 to copy components from.</param>
|
|
public Vector4(Vector4 v)
|
|
{
|
|
X = v.X;
|
|
Y = v.Y;
|
|
Z = v.Z;
|
|
W = v.W;
|
|
}
|
|
|
|
#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( Vector4 right )
|
|
{
|
|
this.X += right.X;
|
|
this.Y += right.Y;
|
|
this.Z += right.Z;
|
|
this.W += right.W;
|
|
}
|
|
|
|
/// <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 Vector4 right )
|
|
{
|
|
this.X += right.X;
|
|
this.Y += right.Y;
|
|
this.Z += right.Z;
|
|
this.W += right.W;
|
|
}
|
|
|
|
#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( Vector4 right )
|
|
{
|
|
this.X -= right.X;
|
|
this.Y -= right.Y;
|
|
this.Z -= right.Z;
|
|
this.W -= right.W;
|
|
}
|
|
|
|
/// <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 Vector4 right )
|
|
{
|
|
this.X -= right.X;
|
|
this.Y -= right.Y;
|
|
this.Z -= right.Z;
|
|
this.W -= right.W;
|
|
}
|
|
|
|
#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( float f )
|
|
{
|
|
this.X *= f;
|
|
this.Y *= f;
|
|
this.Z *= f;
|
|
this.W *= 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( float f )
|
|
{
|
|
float mult = 1.0f / f;
|
|
this.X *= mult;
|
|
this.Y *= mult;
|
|
this.Z *= mult;
|
|
this.W *= mult;
|
|
}
|
|
|
|
#endregion public void Div()
|
|
|
|
#region public float Length
|
|
|
|
/// <summary>
|
|
/// Gets the length (magnitude) of the vector.
|
|
/// </summary>
|
|
/// <see cref="LengthFast"/>
|
|
/// <seealso cref="LengthSquared"/>
|
|
public float Length
|
|
{
|
|
get
|
|
{
|
|
return (float)System.Math.Sqrt(X * X + Y * Y + Z * Z + W * W);
|
|
}
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region public float LengthFast
|
|
|
|
/// <summary>
|
|
/// Gets an approximation of the vector length (magnitude).
|
|
/// </summary>
|
|
/// <remarks>
|
|
/// This property uses an approximation of the square root function to calculate vector magnitude, with
|
|
/// an upper error bound of 0.001.
|
|
/// </remarks>
|
|
/// <see cref="Length"/>
|
|
/// <seealso cref="LengthSquared"/>
|
|
public float LengthFast
|
|
{
|
|
get
|
|
{
|
|
return 1.0f / MathHelper.InverseSqrtFast(X * X + Y * Y + Z * Z + W * W);
|
|
}
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region public float 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="LengthFast"/>
|
|
public float LengthSquared
|
|
{
|
|
get
|
|
{
|
|
return X * X + Y * Y + Z * Z + W * W;
|
|
}
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region public void Normalize()
|
|
|
|
/// <summary>
|
|
/// Scales the Vector4 to unit length.
|
|
/// </summary>
|
|
public void Normalize()
|
|
{
|
|
float scale = 1.0f / this.Length;
|
|
X *= scale;
|
|
Y *= scale;
|
|
Z *= scale;
|
|
W *= scale;
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region public void NormalizeFast()
|
|
|
|
/// <summary>
|
|
/// Scales the Vector4 to approximately unit length.
|
|
/// </summary>
|
|
public void NormalizeFast()
|
|
{
|
|
float scale = Functions.InverseSqrtFast(X * X + Y * Y + Z * Z + W * W);
|
|
X *= scale;
|
|
Y *= scale;
|
|
Z *= scale;
|
|
W *= scale;
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region public void Scale()
|
|
|
|
/// <summary>
|
|
/// Scales the current Vector4 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>
|
|
/// <param name="sz">The scale of the Z component.</param>
|
|
/// <param name="sw">The scale of the Z component.</param>
|
|
public void Scale( float sx, float sy, float sz, float sw )
|
|
{
|
|
this.X = X * sx;
|
|
this.Y = Y * sy;
|
|
this.Z = Z * sz;
|
|
this.W = W * sw;
|
|
}
|
|
|
|
/// <summary>Scales this instance by the given parameter.</summary>
|
|
/// <param name="scale">The scaling of the individual components.</param>
|
|
public void Scale( Vector4 scale )
|
|
{
|
|
this.X *= scale.X;
|
|
this.Y *= scale.Y;
|
|
this.Z *= scale.Z;
|
|
this.W *= scale.W;
|
|
}
|
|
|
|
/// <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 Vector4 scale )
|
|
{
|
|
this.X *= scale.X;
|
|
this.Y *= scale.Y;
|
|
this.Z *= scale.Z;
|
|
this.W *= scale.W;
|
|
}
|
|
|
|
#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 Vector4 Add(Vector4 a, Vector4 b)
|
|
{
|
|
a.X += b.X;
|
|
a.Y += b.Y;
|
|
a.Z += b.Z;
|
|
a.W += b.W;
|
|
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 Vector4 a, ref Vector4 b, out Vector4 result)
|
|
{
|
|
result.X = a.X + b.X;
|
|
result.Y = a.Y + b.Y;
|
|
result.Z = a.Z + b.Z;
|
|
result.W = a.W + b.W;
|
|
}
|
|
|
|
#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 Vector4 Sub(Vector4 a, Vector4 b)
|
|
{
|
|
a.X -= b.X;
|
|
a.Y -= b.Y;
|
|
a.Z -= b.Z;
|
|
a.W -= b.W;
|
|
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 Vector4 a, ref Vector4 b, out Vector4 result)
|
|
{
|
|
result.X = a.X - b.X;
|
|
result.Y = a.Y - b.Y;
|
|
result.Z = a.Z - b.Z;
|
|
result.W = a.W - b.W;
|
|
}
|
|
|
|
#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 Vector4 Mult(Vector4 a, float f)
|
|
{
|
|
a.X *= f;
|
|
a.Y *= f;
|
|
a.Z *= f;
|
|
a.W *= f;
|
|
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 Vector4 a, float f, out Vector4 result)
|
|
{
|
|
result.X = a.X * f;
|
|
result.Y = a.Y * f;
|
|
result.Z = a.Z * f;
|
|
result.W = a.W * f;
|
|
}
|
|
|
|
#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 Vector4 Div(Vector4 a, float f)
|
|
{
|
|
float mult = 1.0f / f;
|
|
a.X *= mult;
|
|
a.Y *= mult;
|
|
a.Z *= mult;
|
|
a.W *= 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 Vector4 a, float f, out Vector4 result)
|
|
{
|
|
float mult = 1.0f / f;
|
|
result.X = a.X * mult;
|
|
result.Y = a.Y * mult;
|
|
result.Z = a.Z * mult;
|
|
result.W = a.W * 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 Vector4 Min(Vector4 a, Vector4 b)
|
|
{
|
|
a.X = a.X < b.X ? a.X : b.X;
|
|
a.Y = a.Y < b.Y ? a.Y : b.Y;
|
|
a.Z = a.Z < b.Z ? a.Z : b.Z;
|
|
a.W = a.W < b.W ? a.W : b.W;
|
|
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 Vector4 a, ref Vector4 b, out Vector4 result)
|
|
{
|
|
result.X = a.X < b.X ? a.X : b.X;
|
|
result.Y = a.Y < b.Y ? a.Y : b.Y;
|
|
result.Z = a.Z < b.Z ? a.Z : b.Z;
|
|
result.W = a.W < b.W ? a.W : b.W;
|
|
}
|
|
|
|
#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 Vector4 Max(Vector4 a, Vector4 b)
|
|
{
|
|
a.X = a.X > b.X ? a.X : b.X;
|
|
a.Y = a.Y > b.Y ? a.Y : b.Y;
|
|
a.Z = a.Z > b.Z ? a.Z : b.Z;
|
|
a.W = a.W > b.W ? a.W : b.W;
|
|
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 Vector4 a, ref Vector4 b, out Vector4 result)
|
|
{
|
|
result.X = a.X > b.X ? a.X : b.X;
|
|
result.Y = a.Y > b.Y ? a.Y : b.Y;
|
|
result.Z = a.Z > b.Z ? a.Z : b.Z;
|
|
result.W = a.W > b.W ? a.W : b.W;
|
|
}
|
|
|
|
#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 Vector4 Clamp(Vector4 vec, Vector4 min, Vector4 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;
|
|
vec.Z = vec.X < min.Z ? min.Z : vec.Z > max.Z ? max.Z : vec.Z;
|
|
vec.W = vec.Y < min.W ? min.W : vec.W > max.W ? max.W : vec.W;
|
|
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 Vector4 vec, ref Vector4 min, ref Vector4 max, out Vector4 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;
|
|
result.Z = vec.X < min.Z ? min.Z : vec.Z > max.Z ? max.Z : vec.Z;
|
|
result.W = vec.Y < min.W ? min.W : vec.W > max.W ? max.W : vec.W;
|
|
}
|
|
|
|
#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 Vector4 Normalize(Vector4 vec)
|
|
{
|
|
float scale = 1.0f / vec.Length;
|
|
vec.X *= scale;
|
|
vec.Y *= scale;
|
|
vec.Z *= scale;
|
|
vec.W *= 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 Vector4 vec, out Vector4 result)
|
|
{
|
|
float scale = 1.0f / vec.Length;
|
|
result.X = vec.X * scale;
|
|
result.Y = vec.Y * scale;
|
|
result.Z = vec.Z * scale;
|
|
result.W = vec.W * 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 Vector4 NormalizeFast(Vector4 vec)
|
|
{
|
|
float scale = Functions.InverseSqrtFast(vec.X * vec.X + vec.Y * vec.Y + vec.Z * vec.Z + vec.W * vec.W);
|
|
vec.X *= scale;
|
|
vec.Y *= scale;
|
|
vec.Z *= scale;
|
|
vec.W *= 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 Vector4 vec, out Vector4 result)
|
|
{
|
|
float scale = Functions.InverseSqrtFast(vec.X * vec.X + vec.Y * vec.Y + vec.Z * vec.Z + vec.W * vec.W);
|
|
result.X = vec.X * scale;
|
|
result.Y = vec.Y * scale;
|
|
result.Z = vec.Z * scale;
|
|
result.W = vec.W * scale;
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region Dot
|
|
|
|
/// <summary>
|
|
/// Calculate the dot 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 float Dot(Vector4 left, Vector4 right)
|
|
{
|
|
return left.X * right.X + left.Y * right.Y + left.Z * right.Z + left.W * right.W;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculate the dot 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 Vector4 left, ref Vector4 right, out float result )
|
|
{
|
|
result = left.X * right.X + left.Y * right.Y + left.Z * right.Z + left.W * right.W;
|
|
}
|
|
|
|
#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 Vector4 Lerp(Vector4 a, Vector4 b, float blend)
|
|
{
|
|
a.X = blend * (b.X - a.X) + a.X;
|
|
a.Y = blend * (b.Y - a.Y) + a.Y;
|
|
a.Z = blend * (b.Z - a.Z) + a.Z;
|
|
a.W = blend * (b.W - a.W) + a.W;
|
|
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 Vector4 a, ref Vector4 b, float blend, out Vector4 result )
|
|
{
|
|
result.X = blend * ( b.X - a.X ) + a.X;
|
|
result.Y = blend * ( b.Y - a.Y ) + a.Y;
|
|
result.Z = blend * ( b.Z - a.Z ) + a.Z;
|
|
result.W = blend * ( b.W - a.W ) + a.W;
|
|
}
|
|
|
|
#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 Vector4 BaryCentric(Vector4 a, Vector4 b, Vector4 c, float u, float 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 Vector4 a, ref Vector4 b, ref Vector4 c, float u, float v, out Vector4 result )
|
|
{
|
|
result = a; // copy
|
|
|
|
Vector4 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
|
|
|
|
#region Transform
|
|
|
|
/// <summary>Transform a Vector by the given Matrix</summary>
|
|
/// <param name="vec">The vector to transform</param>
|
|
/// <param name="mat">The desired transformation</param>
|
|
/// <returns>The transformed vector</returns>
|
|
public static Vector4 Transform(Vector4 vec, Matrix4 mat)
|
|
{
|
|
Vector4 result;
|
|
result.X = Vector4.Dot(vec, mat.Column0);
|
|
result.Y = Vector4.Dot(vec, mat.Column1);
|
|
result.Z = Vector4.Dot(vec, mat.Column2);
|
|
result.W = Vector4.Dot(vec, mat.Column3);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>Transform a Vector by the given Matrix</summary>
|
|
/// <param name="vec">The vector to transform</param>
|
|
/// <param name="mat">The desired transformation</param>
|
|
/// <param name="result">The transformed vector</param>
|
|
public static void Transform( ref Vector4 vec, ref Matrix4 mat, out Vector4 result )
|
|
{
|
|
result.X = vec.X * mat.Row0.X +
|
|
vec.Y * mat.Row1.X +
|
|
vec.Z * mat.Row2.X +
|
|
vec.W * mat.Row3.X;
|
|
|
|
result.Y = vec.X * mat.Row0.Y +
|
|
vec.Y * mat.Row1.Y +
|
|
vec.Z * mat.Row2.Y +
|
|
vec.W * mat.Row3.Y;
|
|
|
|
result.Z = vec.X * mat.Row0.Z +
|
|
vec.Y * mat.Row1.Z +
|
|
vec.Z * mat.Row2.Z +
|
|
vec.W * mat.Row3.Z;
|
|
|
|
result.W = vec.X * mat.Row0.W +
|
|
vec.Y * mat.Row1.W +
|
|
vec.Z * mat.Row2.W +
|
|
vec.W * mat.Row3.W;
|
|
}
|
|
|
|
#endregion
|
|
|
|
#endregion
|
|
|
|
#region Swizzle
|
|
|
|
/// <summary>
|
|
/// Gets or sets an OpenTK.Vector2 with the X and Y components of this instance.
|
|
/// </summary>
|
|
[XmlIgnore]
|
|
public Vector2 Xy { get { return new Vector2(X, Y); } set { X = value.X; Y = value.Y; } }
|
|
|
|
/// <summary>
|
|
/// Gets or sets an OpenTK.Vector3 with the X, Y and Z components of this instance.
|
|
/// </summary>
|
|
[XmlIgnore]
|
|
public Vector3 Xyz { get { return new Vector3(X, Y, Z); } set { X = value.X; Y = value.Y; Z = value.Z; } }
|
|
|
|
#endregion
|
|
|
|
#region Operators
|
|
|
|
public static Vector4 operator +(Vector4 left, Vector4 right)
|
|
{
|
|
left.X += right.X;
|
|
left.Y += right.Y;
|
|
left.Z += right.Z;
|
|
left.W += right.W;
|
|
return left;
|
|
}
|
|
|
|
public static Vector4 operator -(Vector4 left, Vector4 right)
|
|
{
|
|
left.X -= right.X;
|
|
left.Y -= right.Y;
|
|
left.Z -= right.Z;
|
|
left.W -= right.W;
|
|
return left;
|
|
}
|
|
|
|
public static Vector4 operator -(Vector4 vec)
|
|
{
|
|
vec.X = -vec.X;
|
|
vec.Y = -vec.Y;
|
|
vec.Z = -vec.Z;
|
|
vec.W = -vec.W;
|
|
return vec;
|
|
}
|
|
|
|
public static Vector4 operator *(Vector4 vec, float f)
|
|
{
|
|
vec.X *= f;
|
|
vec.Y *= f;
|
|
vec.Z *= f;
|
|
vec.W *= f;
|
|
return vec;
|
|
}
|
|
|
|
public static Vector4 operator *(float f, Vector4 vec)
|
|
{
|
|
vec.X *= f;
|
|
vec.Y *= f;
|
|
vec.Z *= f;
|
|
vec.W *= f;
|
|
return vec;
|
|
}
|
|
|
|
public static Vector4 operator /(Vector4 vec, float f)
|
|
{
|
|
float mult = 1.0f / f;
|
|
vec.X *= mult;
|
|
vec.Y *= mult;
|
|
vec.Z *= mult;
|
|
vec.W *= mult;
|
|
return vec;
|
|
}
|
|
|
|
public static bool operator ==(Vector4 left, Vector4 right)
|
|
{
|
|
return left.Equals(right);
|
|
}
|
|
|
|
public static bool operator !=(Vector4 left, Vector4 right)
|
|
{
|
|
return !left.Equals(right);
|
|
}
|
|
|
|
[CLSCompliant(false)]
|
|
unsafe public static explicit operator float*(Vector4 v)
|
|
{
|
|
return &v.X;
|
|
}
|
|
|
|
public static explicit operator IntPtr(Vector4 v)
|
|
{
|
|
unsafe
|
|
{
|
|
return (IntPtr)(&v.X);
|
|
}
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region Overrides
|
|
|
|
#region public override string ToString()
|
|
|
|
/// <summary>
|
|
/// Returns a System.String that represents the current Vector4.
|
|
/// </summary>
|
|
/// <returns></returns>
|
|
public override string ToString()
|
|
{
|
|
return String.Format("({0}, {1}, {2}, {3})", X, Y, Z, W);
|
|
}
|
|
|
|
#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() ^ Z.GetHashCode() ^ W.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 Vector4))
|
|
return false;
|
|
|
|
return this.Equals((Vector4)obj);
|
|
}
|
|
|
|
#endregion
|
|
|
|
#endregion
|
|
|
|
#endregion
|
|
|
|
#region IEquatable<Vector4> Members
|
|
|
|
/// <summary>Indicates whether the current vector is equal to another vector.</summary>
|
|
/// <param name="other">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(Vector4 other)
|
|
{
|
|
return
|
|
X == other.X &&
|
|
Y == other.Y &&
|
|
Z == other.Z &&
|
|
W == other.W;
|
|
}
|
|
|
|
#endregion
|
|
}
|
|
}
|