mirror of
https://github.com/Ryujinx/Opentk.git
synced 2025-07-05 20:00:34 +00:00
850 lines
31 KiB
C#
850 lines
31 KiB
C#
/*
|
|
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.
|
|
*/
|
|
|
|
using System;
|
|
using System.Runtime.InteropServices;
|
|
using System.Xml.Serialization;
|
|
|
|
namespace OpenTK
|
|
{
|
|
/// <summary>Represents a 2D vector using two double-precision floating-point numbers.</summary>
|
|
[Serializable]
|
|
[StructLayout(LayoutKind.Sequential)]
|
|
public struct Vector2d : IEquatable<Vector2d>
|
|
{
|
|
/// <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 readonly Vector2d UnitX = new Vector2d(1, 0);
|
|
|
|
/// <summary>
|
|
/// Defines a unit-length Vector2d that points towards the Y-axis.
|
|
/// </summary>
|
|
public static readonly Vector2d UnitY = new Vector2d(0, 1);
|
|
|
|
/// <summary>
|
|
/// Defines a zero-length Vector2d.
|
|
/// </summary>
|
|
public static readonly Vector2d Zero = new Vector2d(0, 0);
|
|
|
|
/// <summary>
|
|
/// Defines an instance with all components set to 1.
|
|
/// </summary>
|
|
public static readonly Vector2d One = new Vector2d(1, 1);
|
|
|
|
/// <summary>
|
|
/// Defines the size of the Vector2d struct in bytes.
|
|
/// </summary>
|
|
public static readonly int SizeInBytes = Marshal.SizeOf(new Vector2d());
|
|
|
|
/// <summary>
|
|
/// Constructs a new instance.
|
|
/// </summary>
|
|
/// <param name="value">The value that will initialize this instance.</param>
|
|
public Vector2d(double value)
|
|
{
|
|
X = value;
|
|
Y = value;
|
|
}
|
|
|
|
/// <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;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Gets or sets the value at the index of the Vector.
|
|
/// </summary>
|
|
public double this[int index] {
|
|
get{
|
|
if(index == 0)
|
|
{
|
|
return X;
|
|
}
|
|
else if(index == 1)
|
|
{
|
|
return Y;
|
|
}
|
|
throw new IndexOutOfRangeException("You tried to access this vector at index: " + index);
|
|
} set{
|
|
if(index == 0)
|
|
{
|
|
X = value;
|
|
}
|
|
else if(index == 1)
|
|
{
|
|
Y = value;
|
|
}
|
|
else
|
|
{
|
|
throw new IndexOutOfRangeException("You tried to set this vector at index: " + index);
|
|
}
|
|
}
|
|
}
|
|
|
|
/// <summary>
|
|
/// Gets the length (magnitude) of the vector.
|
|
/// </summary>
|
|
/// <seealso cref="LengthSquared"/>
|
|
public double Length
|
|
{
|
|
get
|
|
{
|
|
return System.Math.Sqrt(X * X + Y * Y);
|
|
}
|
|
}
|
|
|
|
/// <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"/>
|
|
public double LengthSquared
|
|
{
|
|
get
|
|
{
|
|
return X * X + Y * Y;
|
|
}
|
|
}
|
|
|
|
/// <summary>
|
|
/// Gets the perpendicular vector on the right side of this vector.
|
|
/// </summary>
|
|
public Vector2d PerpendicularRight
|
|
{
|
|
get
|
|
{
|
|
return new Vector2d(Y, -X);
|
|
}
|
|
}
|
|
|
|
/// <summary>
|
|
/// Gets the perpendicular vector on the left side of this vector.
|
|
/// </summary>
|
|
public Vector2d PerpendicularLeft
|
|
{
|
|
get
|
|
{
|
|
return new Vector2d(-Y, X);
|
|
}
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a copy of the Vector2d scaled to unit length.
|
|
/// </summary>
|
|
/// <returns></returns>
|
|
public Vector2d Normalized()
|
|
{
|
|
Vector2d v = this;
|
|
v.Normalize();
|
|
return v;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Scales the Vector2 to unit length.
|
|
/// </summary>
|
|
public void Normalize()
|
|
{
|
|
double scale = 1.0 / Length;
|
|
X *= scale;
|
|
Y *= scale;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Adds two vectors.
|
|
/// </summary>
|
|
/// <param name="a">Left operand.</param>
|
|
/// <param name="b">Right operand.</param>
|
|
/// <returns>Result of operation.</returns>
|
|
public static Vector2d Add(Vector2d a, Vector2d b)
|
|
{
|
|
Add(ref a, ref b, out a);
|
|
return a;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Adds two vectors.
|
|
/// </summary>
|
|
/// <param name="a">Left operand.</param>
|
|
/// <param name="b">Right operand.</param>
|
|
/// <param name="result">Result of operation.</param>
|
|
public static void Add(ref Vector2d a, ref Vector2d b, out Vector2d result)
|
|
{
|
|
result = new Vector2d(a.X + b.X, a.Y + b.Y);
|
|
}
|
|
|
|
/// <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 Subtract(Vector2d a, Vector2d b)
|
|
{
|
|
Subtract(ref a, ref b, out a);
|
|
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 Subtract(ref Vector2d a, ref Vector2d b, out Vector2d result)
|
|
{
|
|
result = new Vector2d(a.X - b.X, a.Y - b.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Multiplies a vector by a scalar.
|
|
/// </summary>
|
|
/// <param name="vector">Left operand.</param>
|
|
/// <param name="scale">Right operand.</param>
|
|
/// <returns>Result of the operation.</returns>
|
|
public static Vector2d Multiply(Vector2d vector, double scale)
|
|
{
|
|
Multiply(ref vector, scale, out vector);
|
|
return vector;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Multiplies a vector by a scalar.
|
|
/// </summary>
|
|
/// <param name="vector">Left operand.</param>
|
|
/// <param name="scale">Right operand.</param>
|
|
/// <param name="result">Result of the operation.</param>
|
|
public static void Multiply(ref Vector2d vector, double scale, out Vector2d result)
|
|
{
|
|
result = new Vector2d(vector.X * scale, vector.Y * scale);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Multiplies a vector by the components a vector (scale).
|
|
/// </summary>
|
|
/// <param name="vector">Left operand.</param>
|
|
/// <param name="scale">Right operand.</param>
|
|
/// <returns>Result of the operation.</returns>
|
|
public static Vector2d Multiply(Vector2d vector, Vector2d scale)
|
|
{
|
|
Multiply(ref vector, ref scale, out vector);
|
|
return vector;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Multiplies a vector by the components of a vector (scale).
|
|
/// </summary>
|
|
/// <param name="vector">Left operand.</param>
|
|
/// <param name="scale">Right operand.</param>
|
|
/// <param name="result">Result of the operation.</param>
|
|
public static void Multiply(ref Vector2d vector, ref Vector2d scale, out Vector2d result)
|
|
{
|
|
result = new Vector2d(vector.X * scale.X, vector.Y * scale.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Divides a vector by a scalar.
|
|
/// </summary>
|
|
/// <param name="vector">Left operand.</param>
|
|
/// <param name="scale">Right operand.</param>
|
|
/// <returns>Result of the operation.</returns>
|
|
public static Vector2d Divide(Vector2d vector, double scale)
|
|
{
|
|
Divide(ref vector, scale, out vector);
|
|
return vector;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Divides a vector by a scalar.
|
|
/// </summary>
|
|
/// <param name="vector">Left operand.</param>
|
|
/// <param name="scale">Right operand.</param>
|
|
/// <param name="result">Result of the operation.</param>
|
|
public static void Divide(ref Vector2d vector, double scale, out Vector2d result)
|
|
{
|
|
result.X = vector.X / scale;
|
|
result.Y = vector.Y / scale;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Divides a vector by the components of a vector (scale).
|
|
/// </summary>
|
|
/// <param name="vector">Left operand.</param>
|
|
/// <param name="scale">Right operand.</param>
|
|
/// <returns>Result of the operation.</returns>
|
|
public static Vector2d Divide(Vector2d vector, Vector2d scale)
|
|
{
|
|
Divide(ref vector, ref scale, out vector);
|
|
return vector;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Divide a vector by the components of a vector (scale).
|
|
/// </summary>
|
|
/// <param name="vector">Left operand.</param>
|
|
/// <param name="scale">Right operand.</param>
|
|
/// <param name="result">Result of the operation.</param>
|
|
public static void Divide(ref Vector2d vector, ref Vector2d scale, out Vector2d result)
|
|
{
|
|
result = new Vector2d(vector.X / scale.X, vector.Y / scale.Y);
|
|
}
|
|
|
|
/// <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>
|
|
[Obsolete("Use ComponentMin() instead.")]
|
|
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>
|
|
[Obsolete("Use ComponentMin() instead.")]
|
|
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;
|
|
}
|
|
|
|
/// <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>
|
|
[Obsolete("Use ComponentMax() instead.")]
|
|
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>
|
|
[Obsolete("Use ComponentMax() instead.")]
|
|
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;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a vector created from the smallest of the corresponding components of the given vectors.
|
|
/// </summary>
|
|
/// <param name="a">First operand</param>
|
|
/// <param name="b">Second operand</param>
|
|
/// <returns>The component-wise minimum</returns>
|
|
public static Vector2d ComponentMin(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>
|
|
/// Returns a vector created from the smallest of the corresponding components of the given 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 ComponentMin(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;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a vector created from the largest of the corresponding components of the given vectors.
|
|
/// </summary>
|
|
/// <param name="a">First operand</param>
|
|
/// <param name="b">Second operand</param>
|
|
/// <returns>The component-wise maximum</returns>
|
|
public static Vector2d ComponentMax(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>
|
|
/// Returns a vector created from the largest of the corresponding components of the given 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 ComponentMax(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;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns the Vector2d with the minimum magnitude. If the magnitudes are equal, the second vector
|
|
/// is selected.
|
|
/// </summary>
|
|
/// <param name="left">Left operand</param>
|
|
/// <param name="right">Right operand</param>
|
|
/// <returns>The minimum Vector2d</returns>
|
|
public static Vector2d MagnitudeMin(Vector2d left, Vector2d right)
|
|
{
|
|
return left.LengthSquared < right.LengthSquared ? left : right;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns the Vector2d with the minimum magnitude. If the magnitudes are equal, the second vector
|
|
/// is selected.
|
|
/// </summary>
|
|
/// <param name="left">Left operand</param>
|
|
/// <param name="right">Right operand</param>
|
|
/// <param name="result">The magnitude-wise minimum</param>
|
|
/// <returns>The minimum Vector2d</returns>
|
|
public static void MagnitudeMin(ref Vector2d left, ref Vector2d right, out Vector2d result)
|
|
{
|
|
result = left.LengthSquared < right.LengthSquared ? left : right;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns the Vector2d with the minimum magnitude. If the magnitudes are equal, the first vector
|
|
/// is selected.
|
|
/// </summary>
|
|
/// <param name="left">Left operand</param>
|
|
/// <param name="right">Right operand</param>
|
|
/// <returns>The minimum Vector2d</returns>
|
|
public static Vector2d MagnitudeMax(Vector2d left, Vector2d right)
|
|
{
|
|
return left.LengthSquared >= right.LengthSquared ? left : right;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns the Vector2d with the maximum magnitude. If the magnitudes are equal, the first vector
|
|
/// is selected.
|
|
/// </summary>
|
|
/// <param name="left">Left operand</param>
|
|
/// <param name="right">Right operand</param>
|
|
/// <param name="result">The magnitude-wise maximum</param>
|
|
/// <returns>The maximum Vector2d</returns>
|
|
public static void MagnitudeMax(ref Vector2d left, ref Vector2d right, out Vector2d result)
|
|
{
|
|
result = left.LengthSquared >= right.LengthSquared ? left : right;
|
|
}
|
|
|
|
/// <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;
|
|
}
|
|
|
|
/// <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 = 1.0 / 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 = 1.0 / vec.Length;
|
|
result.X = vec.X * scale;
|
|
result.Y = vec.Y * scale;
|
|
}
|
|
|
|
/// <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 = MathHelper.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 = MathHelper.InverseSqrtFast(vec.X * vec.X + vec.Y * vec.Y);
|
|
result.X = vec.X * scale;
|
|
result.Y = vec.Y * scale;
|
|
}
|
|
|
|
/// <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;
|
|
}
|
|
|
|
/// <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;
|
|
}
|
|
|
|
/// <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, double u, double v, out Vector2d result)
|
|
{
|
|
result = a; // copy
|
|
|
|
Vector2d temp = b; // copy
|
|
Subtract(ref temp, ref a, out temp);
|
|
Multiply(ref temp, u, out temp);
|
|
Add(ref result, ref temp, out result);
|
|
|
|
temp = c; // copy
|
|
Subtract(ref temp, ref a, out temp);
|
|
Multiply(ref temp, v, out temp);
|
|
Add(ref result, ref temp, out result);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Transforms a vector by a quaternion rotation.
|
|
/// </summary>
|
|
/// <param name="vec">The vector to transform.</param>
|
|
/// <param name="quat">The quaternion to rotate the vector by.</param>
|
|
/// <returns>The result of the operation.</returns>
|
|
public static Vector2d Transform(Vector2d vec, Quaterniond quat)
|
|
{
|
|
Vector2d result;
|
|
Transform(ref vec, ref quat, out result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Transforms a vector by a quaternion rotation.
|
|
/// </summary>
|
|
/// <param name="vec">The vector to transform.</param>
|
|
/// <param name="quat">The quaternion to rotate the vector by.</param>
|
|
/// <param name="result">The result of the operation.</param>
|
|
public static void Transform(ref Vector2d vec, ref Quaterniond quat, out Vector2d result)
|
|
{
|
|
Quaterniond v = new Quaterniond(vec.X, vec.Y, 0, 0), i, t;
|
|
Quaterniond.Invert(ref quat, out i);
|
|
Quaterniond.Multiply(ref quat, ref v, out t);
|
|
Quaterniond.Multiply(ref t, ref i, out v);
|
|
|
|
result = new Vector2d(v.X, v.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Gets or sets an OpenTK.Vector2d with the Y and X components of this instance.
|
|
/// </summary>
|
|
[XmlIgnore]
|
|
public Vector2d Yx { get { return new Vector2d(Y, X); } set { Y = value.X; X = value.Y; } }
|
|
|
|
/// <summary>
|
|
/// Adds two instances.
|
|
/// </summary>
|
|
/// <param name="left">The left instance.</param>
|
|
/// <param name="right">The right instance.</param>
|
|
/// <returns>The result of the operation.</returns>
|
|
public static Vector2d operator +(Vector2d left, Vector2d right)
|
|
{
|
|
left.X += right.X;
|
|
left.Y += right.Y;
|
|
return left;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Subtracts two instances.
|
|
/// </summary>
|
|
/// <param name="left">The left instance.</param>
|
|
/// <param name="right">The right instance.</param>
|
|
/// <returns>The result of the operation.</returns>
|
|
public static Vector2d operator -(Vector2d left, Vector2d right)
|
|
{
|
|
left.X -= right.X;
|
|
left.Y -= right.Y;
|
|
return left;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Negates an instance.
|
|
/// </summary>
|
|
/// <param name="vec">The instance.</param>
|
|
/// <returns>The result of the operation.</returns>
|
|
public static Vector2d operator -(Vector2d vec)
|
|
{
|
|
vec.X = -vec.X;
|
|
vec.Y = -vec.Y;
|
|
return vec;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Multiplies an instance by a scalar.
|
|
/// </summary>
|
|
/// <param name="vec">The instance.</param>
|
|
/// <param name="f">The scalar.</param>
|
|
/// <returns>The result of the operation.</returns>
|
|
public static Vector2d operator *(Vector2d vec, double f)
|
|
{
|
|
vec.X *= f;
|
|
vec.Y *= f;
|
|
return vec;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Multiply an instance by a scalar.
|
|
/// </summary>
|
|
/// <param name="f">The scalar.</param>
|
|
/// <param name="vec">The instance.</param>
|
|
/// <returns>The result of the operation.</returns>
|
|
public static Vector2d operator *(double f, Vector2d vec)
|
|
{
|
|
vec.X *= f;
|
|
vec.Y *= f;
|
|
return vec;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Component-wise multiplication between the specified instance by a scale vector.
|
|
/// </summary>
|
|
/// <param name="scale">Left operand.</param>
|
|
/// <param name="vec">Right operand.</param>
|
|
/// <returns>Result of multiplication.</returns>
|
|
public static Vector2d operator *(Vector2d vec, Vector2d scale)
|
|
{
|
|
vec.X *= scale.X;
|
|
vec.Y *= scale.Y;
|
|
return vec;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Divides an instance by a scalar.
|
|
/// </summary>
|
|
/// <param name="vec">The instance.</param>
|
|
/// <param name="f">The scalar.</param>
|
|
/// <returns>The result of the operation.</returns>
|
|
public static Vector2d operator /(Vector2d vec, double f)
|
|
{
|
|
vec.X /= f;
|
|
vec.Y /= f;
|
|
return vec;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Compares two instances for equality.
|
|
/// </summary>
|
|
/// <param name="left">The left instance.</param>
|
|
/// <param name="right">The right instance.</param>
|
|
/// <returns>True, if both instances are equal; false otherwise.</returns>
|
|
public static bool operator ==(Vector2d left, Vector2d right)
|
|
{
|
|
return left.Equals(right);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Compares two instances for ienquality.
|
|
/// </summary>
|
|
/// <param name="left">The left instance.</param>
|
|
/// <param name="right">The right instance.</param>
|
|
/// <returns>True, if the instances are not equal; false otherwise.</returns>
|
|
public static bool operator !=(Vector2d left, Vector2d right)
|
|
{
|
|
return !left.Equals(right);
|
|
}
|
|
|
|
/// <summary>Converts OpenTK.Vector2 to OpenTK.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.Vector2d to OpenTK.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);
|
|
}
|
|
|
|
private static string listSeparator = System.Globalization.CultureInfo.CurrentCulture.TextInfo.ListSeparator;
|
|
/// <summary>
|
|
/// Returns a System.String that represents the current instance.
|
|
/// </summary>
|
|
/// <returns></returns>
|
|
public override string ToString()
|
|
{
|
|
return String.Format("({0}{2} {1})", X, Y, listSeparator);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns the hashcode for this instance.
|
|
/// </summary>
|
|
/// <returns>A System.Int32 containing the unique hashcode for this instance.</returns>
|
|
public override int GetHashCode()
|
|
{
|
|
unchecked
|
|
{
|
|
return (this.X.GetHashCode() * 397) ^ this.Y.GetHashCode();
|
|
}
|
|
}
|
|
|
|
/// <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);
|
|
}
|
|
|
|
/// <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(Vector2d other)
|
|
{
|
|
return
|
|
X == other.X &&
|
|
Y == other.Y;
|
|
}
|
|
}
|
|
} |