806 lines
33 KiB
C#
806 lines
33 KiB
C#
// Copyright (c) Xenko contributors (https://xenko.com) and Silicon Studio Corp. (https://www.siliconstudio.co.jp)
|
|
// Distributed under the MIT license. See the LICENSE.md file in the project root for more information.
|
|
//
|
|
// -----------------------------------------------------------------------------
|
|
// Original code from SlimMath project. http://code.google.com/p/slimmath/
|
|
// Greetings to SlimDX Group. Original code published with the following license:
|
|
// -----------------------------------------------------------------------------
|
|
/*
|
|
* Copyright (c) 2007-2011 SlimDX Group
|
|
*
|
|
* 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.Globalization;
|
|
using System.Runtime.InteropServices;
|
|
using System.Runtime.Serialization;
|
|
|
|
namespace math
|
|
{
|
|
/// <summary>
|
|
/// Represents a three dimensional mathematical vector.
|
|
/// </summary>
|
|
[DataContract( Name = "Int3")]
|
|
[DataStyle(DataStyle.Compact)]
|
|
[StructLayout(LayoutKind.Sequential, Pack = 4)]
|
|
public struct Int3 : IEquatable<Int3>, IFormattable
|
|
{
|
|
/// <summary>
|
|
/// The size of the <see cref="Int3"/> type, in bytes.
|
|
/// </summary>
|
|
public static readonly int SizeInBytes = lib.Util.SizeOf<Int3>();
|
|
|
|
/// <summary>
|
|
/// A <see cref="Int3"/> with all of its components set to zero.
|
|
/// </summary>
|
|
public static readonly Int3 Zero = new Int3();
|
|
|
|
/// <summary>
|
|
/// The X unit <see cref="Int3"/> (1, 0, 0).
|
|
/// </summary>
|
|
public static readonly Int3 UnitX = new Int3(1, 0, 0);
|
|
|
|
/// <summary>
|
|
/// The Y unit <see cref="Int3"/> (0, 1, 0).
|
|
/// </summary>
|
|
public static readonly Int3 UnitY = new Int3(0, 1, 0);
|
|
|
|
/// <summary>
|
|
/// The Z unit <see cref="Int3"/> (0, 0, 1).
|
|
/// </summary>
|
|
public static readonly Int3 UnitZ = new Int3(0, 0, 1);
|
|
|
|
/// <summary>
|
|
/// A <see cref="Int3"/> with all of its components set to one.
|
|
/// </summary>
|
|
public static readonly Int3 One = new Int3(1, 1, 1);
|
|
|
|
/// <summary>
|
|
/// The X component of the vector.
|
|
/// </summary>
|
|
[DataMember( Order = 0 )]
|
|
public int X;
|
|
|
|
/// <summary>
|
|
/// The Y component of the vector.
|
|
/// </summary>
|
|
[DataMember( Order = 1 )]
|
|
public int Y;
|
|
|
|
/// <summary>
|
|
/// The Z component of the vector.
|
|
/// </summary>
|
|
[DataMember( Order = 2 )]
|
|
public int Z;
|
|
|
|
/// <summary>
|
|
/// Initializes a new instance of the <see cref="Int3"/> struct.
|
|
/// </summary>
|
|
/// <param name="value">The value that will be assigned to all components.</param>
|
|
public Int3(int value)
|
|
{
|
|
X = value;
|
|
Y = value;
|
|
Z = value;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Initializes a new instance of the <see cref="Int3"/> struct.
|
|
/// </summary>
|
|
/// <param name="x">Initial value for the X component of the vector.</param>
|
|
/// <param name="y">Initial value for the Y component of the vector.</param>
|
|
/// <param name="z">Initial value for the Z component of the vector.</param>
|
|
public Int3(int x, int y, int z)
|
|
{
|
|
X = x;
|
|
Y = y;
|
|
Z = z;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Initializes a new instance of the <see cref="Int3"/> struct.
|
|
/// </summary>
|
|
/// <param name="value">A vector containing the values with which to initialize the X and Y components.</param>
|
|
/// <param name="z">Initial value for the Z component of the vector.</param>
|
|
public Int3(Vec2 value, int z)
|
|
{
|
|
X = (int)value.X;
|
|
Y = (int)value.Y;
|
|
Z = z;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Initializes a new instance of the <see cref="Int3"/> struct.
|
|
/// </summary>
|
|
/// <param name="values">The values to assign to the X, Y, and Z components of the vector. This must be an array with three elements.</param>
|
|
/// <exception cref="ArgumentNullException">Thrown when <paramref name="values"/> is <c>null</c>.</exception>
|
|
/// <exception cref="ArgumentOutOfRangeException">Thrown when <paramref name="values"/> contains more or less than three elements.</exception>
|
|
public Int3(int[] values)
|
|
{
|
|
if (values == null)
|
|
throw new ArgumentNullException("values");
|
|
if (values.Length != 3)
|
|
throw new ArgumentOutOfRangeException("values", "There must be three and only three input values for Int3.");
|
|
|
|
X = values[0];
|
|
Y = values[1];
|
|
Z = values[2];
|
|
}
|
|
|
|
/// <summary>
|
|
/// Gets or sets the component at the specified index.
|
|
/// </summary>
|
|
/// <value>The value of the X, Y, or Z component, depending on the index.</value>
|
|
/// <param name="index">The index of the component to access. Use 0 for the X component, 1 for the Y component, and 2 for the Z component.</param>
|
|
/// <returns>The value of the component at the specified index.</returns>
|
|
/// <exception cref="System.ArgumentOutOfRangeException">Thrown when the <paramref name="index"/> is out of the range [0, 2].</exception>
|
|
public int this[int index]
|
|
{
|
|
get
|
|
{
|
|
switch (index)
|
|
{
|
|
case 0: return X;
|
|
case 1: return Y;
|
|
case 2: return Z;
|
|
}
|
|
|
|
throw new ArgumentOutOfRangeException("index", "Indices for Int3 run from 0 to 2, inclusive.");
|
|
}
|
|
|
|
set
|
|
{
|
|
switch (index)
|
|
{
|
|
case 0: X = value; break;
|
|
case 1: Y = value; break;
|
|
case 2: Z = value; break;
|
|
default: throw new ArgumentOutOfRangeException("index", "Indices for Int3 run from 0 to 2, inclusive.");
|
|
}
|
|
}
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the length of the vector.
|
|
/// </summary>
|
|
/// <returns>The length of the vector.</returns>
|
|
/// <remarks>
|
|
/// <see cref="Int3.LengthSquared"/> may be preferred when only the relative length is needed
|
|
/// and speed is of the essence.
|
|
/// </remarks>
|
|
public int Length()
|
|
{
|
|
return (int)Math.Sqrt((X * X) + (Y * Y) + (Z * Z));
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the squared length of the vector.
|
|
/// </summary>
|
|
/// <returns>The squared length of the vector.</returns>
|
|
/// <remarks>
|
|
/// This method may be preferred to <see cref="Int3.Length"/> when only a relative length is needed
|
|
/// and speed is of the essence.
|
|
/// </remarks>
|
|
public int LengthSquared()
|
|
{
|
|
return (X * X) + (Y * Y) + (Z * Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Raises the exponent for each components.
|
|
/// </summary>
|
|
/// <param name="exponent">The exponent.</param>
|
|
public void Pow(int exponent)
|
|
{
|
|
X = (int)Math.Pow(X, exponent);
|
|
Y = (int)Math.Pow(Y, exponent);
|
|
Z = (int)Math.Pow(Z, exponent);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Creates an array containing the elements of the vector.
|
|
/// </summary>
|
|
/// <returns>A three-element array containing the components of the vector.</returns>
|
|
public int[] ToArray()
|
|
{
|
|
return new int[] { X, Y, Z };
|
|
}
|
|
|
|
/// <summary>
|
|
/// Adds two vectors.
|
|
/// </summary>
|
|
/// <param name="left">The first vector to add.</param>
|
|
/// <param name="right">The second vector to add.</param>
|
|
/// <param name="result">When the method completes, contains the sum of the two vectors.</param>
|
|
public static void Add(ref Int3 left, ref Int3 right, out Int3 result)
|
|
{
|
|
result = new Int3(left.X + right.X, left.Y + right.Y, left.Z + right.Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Adds two vectors.
|
|
/// </summary>
|
|
/// <param name="left">The first vector to add.</param>
|
|
/// <param name="right">The second vector to add.</param>
|
|
/// <returns>The sum of the two vectors.</returns>
|
|
public static Int3 Add(Int3 left, Int3 right)
|
|
{
|
|
return new Int3(left.X + right.X, left.Y + right.Y, left.Z + right.Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Subtracts two vectors.
|
|
/// </summary>
|
|
/// <param name="left">The first vector to subtract.</param>
|
|
/// <param name="right">The second vector to subtract.</param>
|
|
/// <param name="result">When the method completes, contains the difference of the two vectors.</param>
|
|
public static void Subtract(ref Int3 left, ref Int3 right, out Int3 result)
|
|
{
|
|
result = new Int3(left.X - right.X, left.Y - right.Y, left.Z - right.Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Subtracts two vectors.
|
|
/// </summary>
|
|
/// <param name="left">The first vector to subtract.</param>
|
|
/// <param name="right">The second vector to subtract.</param>
|
|
/// <returns>The difference of the two vectors.</returns>
|
|
public static Int3 Subtract(Int3 left, Int3 right)
|
|
{
|
|
return new Int3(left.X - right.X, left.Y - right.Y, left.Z - right.Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Scales a vector by the given value.
|
|
/// </summary>
|
|
/// <param name="value">The vector to scale.</param>
|
|
/// <param name="scale">The amount by which to scale the vector.</param>
|
|
/// <param name="result">When the method completes, contains the scaled vector.</param>
|
|
public static void Multiply(ref Int3 value, int scale, out Int3 result)
|
|
{
|
|
result = new Int3(value.X * scale, value.Y * scale, value.Z * scale);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Scales a vector by the given value.
|
|
/// </summary>
|
|
/// <param name="value">The vector to scale.</param>
|
|
/// <param name="scale">The amount by which to scale the vector.</param>
|
|
/// <returns>The scaled vector.</returns>
|
|
public static Int3 Multiply(Int3 value, int scale)
|
|
{
|
|
return new Int3(value.X * scale, value.Y * scale, value.Z * scale);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Modulates a vector with another by performing component-wise multiplication.
|
|
/// </summary>
|
|
/// <param name="left">The first vector to modulate.</param>
|
|
/// <param name="right">The second vector to modulate.</param>
|
|
/// <param name="result">When the method completes, contains the modulated vector.</param>
|
|
public static void Modulate(ref Int3 left, ref Int3 right, out Int3 result)
|
|
{
|
|
result = new Int3(left.X * right.X, left.Y * right.Y, left.Z * right.Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Modulates a vector with another by performing component-wise multiplication.
|
|
/// </summary>
|
|
/// <param name="left">The first vector to modulate.</param>
|
|
/// <param name="right">The second vector to modulate.</param>
|
|
/// <returns>The modulated vector.</returns>
|
|
public static Int3 Modulate(Int3 left, Int3 right)
|
|
{
|
|
return new Int3(left.X * right.X, left.Y * right.Y, left.Z * right.Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Scales a vector by the given value.
|
|
/// </summary>
|
|
/// <param name="value">The vector to scale.</param>
|
|
/// <param name="scale">The amount by which to scale the vector.</param>
|
|
/// <param name="result">When the method completes, contains the scaled vector.</param>
|
|
public static void Divide(ref Int3 value, int scale, out Int3 result)
|
|
{
|
|
result = new Int3(value.X / scale, value.Y / scale, value.Z / scale);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Scales a vector by the given value.
|
|
/// </summary>
|
|
/// <param name="value">The vector to scale.</param>
|
|
/// <param name="scale">The amount by which to scale the vector.</param>
|
|
/// <returns>The scaled vector.</returns>
|
|
public static Int3 Divide(Int3 value, int scale)
|
|
{
|
|
return new Int3(value.X / scale, value.Y / scale, value.Z / scale);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Reverses the direction of a given vector.
|
|
/// </summary>
|
|
/// <param name="value">The vector to negate.</param>
|
|
/// <param name="result">When the method completes, contains a vector facing in the opposite direction.</param>
|
|
public static void Negate(ref Int3 value, out Int3 result)
|
|
{
|
|
result = new Int3(-value.X, -value.Y, -value.Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Reverses the direction of a given vector.
|
|
/// </summary>
|
|
/// <param name="value">The vector to negate.</param>
|
|
/// <returns>A vector facing in the opposite direction.</returns>
|
|
public static Int3 Negate(Int3 value)
|
|
{
|
|
return new Int3(-value.X, -value.Y, -value.Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Restricts a value to be within a specified range.
|
|
/// </summary>
|
|
/// <param name="value">The value to clamp.</param>
|
|
/// <param name="min">The minimum value.</param>
|
|
/// <param name="max">The maximum value.</param>
|
|
/// <param name="result">When the method completes, contains the clamped value.</param>
|
|
public static void Clamp(ref Int3 value, ref Int3 min, ref Int3 max, out Int3 result)
|
|
{
|
|
int x = value.X;
|
|
x = (x > max.X) ? max.X : x;
|
|
x = (x < min.X) ? min.X : x;
|
|
|
|
int y = value.Y;
|
|
y = (y > max.Y) ? max.Y : y;
|
|
y = (y < min.Y) ? min.Y : y;
|
|
|
|
int z = value.Z;
|
|
z = (z > max.Z) ? max.Z : z;
|
|
z = (z < min.Z) ? min.Z : z;
|
|
|
|
result = new Int3(x, y, z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Restricts a value to be within a specified range.
|
|
/// </summary>
|
|
/// <param name="value">The value to clamp.</param>
|
|
/// <param name="min">The minimum value.</param>
|
|
/// <param name="max">The maximum value.</param>
|
|
/// <returns>The clamped value.</returns>
|
|
public static Int3 Clamp(Int3 value, Int3 min, Int3 max)
|
|
{
|
|
Int3 result;
|
|
Clamp(ref value, ref min, ref max, out result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the dot product of two vectors.
|
|
/// </summary>
|
|
/// <param name="left">First source vector.</param>
|
|
/// <param name="right">Second source vector.</param>
|
|
/// <param name="result">When the method completes, contains the dot product of the two vectors.</param>
|
|
public static void Dot(ref Int3 left, ref Int3 right, out int result)
|
|
{
|
|
result = (left.X * right.X) + (left.Y * right.Y) + (left.Z * right.Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the dot product of two vectors.
|
|
/// </summary>
|
|
/// <param name="left">First source vector.</param>
|
|
/// <param name="right">Second source vector.</param>
|
|
/// <returns>The dot product of the two vectors.</returns>
|
|
public static int Dot(Int3 left, Int3 right)
|
|
{
|
|
return (left.X * right.X) + (left.Y * right.Y) + (left.Z * right.Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a linear interpolation between two vectors.
|
|
/// </summary>
|
|
/// <param name="start">Start vector.</param>
|
|
/// <param name="end">End vector.</param>
|
|
/// <param name="amount">Value between 0 and 1 indicating the weight of <paramref name="end"/>.</param>
|
|
/// <param name="result">When the method completes, contains the linear interpolation of the two vectors.</param>
|
|
/// <remarks>
|
|
/// This method performs the linear interpolation based on the following formula.
|
|
/// <code>start + (end - start) * amount</code>
|
|
/// Passing <paramref name="amount"/> a value of 0 will cause <paramref name="start"/> to be returned; a value of 1 will cause <paramref name="end"/> to be returned.
|
|
/// </remarks>
|
|
public static void Lerp(ref Int3 start, ref Int3 end, float amount, out Int3 result)
|
|
{
|
|
result.X = (int)(start.X + ((end.X - start.X) * amount));
|
|
result.Y = (int)(start.Y + ((end.Y - start.Y) * amount));
|
|
result.Z = (int)(start.Z + ((end.Z - start.Z) * amount));
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a linear interpolation between two vectors.
|
|
/// </summary>
|
|
/// <param name="start">Start vector.</param>
|
|
/// <param name="end">End vector.</param>
|
|
/// <param name="amount">Value between 0 and 1 indicating the weight of <paramref name="end"/>.</param>
|
|
/// <returns>The linear interpolation of the two vectors.</returns>
|
|
/// <remarks>
|
|
/// This method performs the linear interpolation based on the following formula.
|
|
/// <code>start + (end - start) * amount</code>
|
|
/// Passing <paramref name="amount"/> a value of 0 will cause <paramref name="start"/> to be returned; a value of 1 will cause <paramref name="end"/> to be returned.
|
|
/// </remarks>
|
|
public static Int3 Lerp(Int3 start, Int3 end, float amount)
|
|
{
|
|
Int3 result;
|
|
Lerp(ref start, ref end, amount, out result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a cubic interpolation between two vectors.
|
|
/// </summary>
|
|
/// <param name="start">Start vector.</param>
|
|
/// <param name="end">End vector.</param>
|
|
/// <param name="amount">Value between 0 and 1 indicating the weight of <paramref name="end"/>.</param>
|
|
/// <param name="result">When the method completes, contains the cubic interpolation of the two vectors.</param>
|
|
public static void SmoothStep(ref Int3 start, ref Int3 end, float amount, out Int3 result)
|
|
{
|
|
amount = (amount > 1) ? 1 : ((amount < 0) ? 0 : amount);
|
|
amount = (amount * amount) * (3 - (2 * amount));
|
|
|
|
result.X = (int)(start.X + ((end.X - start.X) * amount));
|
|
result.Y = (int)(start.Y + ((end.Y - start.Y) * amount));
|
|
result.Z = (int)(start.Z + ((end.Z - start.Z) * amount));
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a cubic interpolation between two vectors.
|
|
/// </summary>
|
|
/// <param name="start">Start vector.</param>
|
|
/// <param name="end">End vector.</param>
|
|
/// <param name="amount">Value between 0 and 1 indicating the weight of <paramref name="end"/>.</param>
|
|
/// <returns>The cubic interpolation of the two vectors.</returns>
|
|
public static Int3 SmoothStep(Int3 start, Int3 end, float amount)
|
|
{
|
|
Int3 result;
|
|
SmoothStep(ref start, ref end, amount, out result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a vector containing the smallest components of the specified vectors.
|
|
/// </summary>
|
|
/// <param name="left">The first source vector.</param>
|
|
/// <param name="right">The second source vector.</param>
|
|
/// <param name="result">When the method completes, contains an new vector composed of the largest components of the source vectors.</param>
|
|
public static void Max(ref Int3 left, ref Int3 right, out Int3 result)
|
|
{
|
|
result.X = (left.X > right.X) ? left.X : right.X;
|
|
result.Y = (left.Y > right.Y) ? left.Y : right.Y;
|
|
result.Z = (left.Z > right.Z) ? left.Z : right.Z;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a vector containing the largest components of the specified vectors.
|
|
/// </summary>
|
|
/// <param name="left">The first source vector.</param>
|
|
/// <param name="right">The second source vector.</param>
|
|
/// <returns>A vector containing the largest components of the source vectors.</returns>
|
|
public static Int3 Max(Int3 left, Int3 right)
|
|
{
|
|
Int3 result;
|
|
Max(ref left, ref right, out result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a vector containing the smallest components of the specified vectors.
|
|
/// </summary>
|
|
/// <param name="left">The first source vector.</param>
|
|
/// <param name="right">The second source vector.</param>
|
|
/// <param name="result">When the method completes, contains an new vector composed of the smallest components of the source vectors.</param>
|
|
public static void Min(ref Int3 left, ref Int3 right, out Int3 result)
|
|
{
|
|
result.X = (left.X < right.X) ? left.X : right.X;
|
|
result.Y = (left.Y < right.Y) ? left.Y : right.Y;
|
|
result.Z = (left.Z < right.Z) ? left.Z : right.Z;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a vector containing the smallest components of the specified vectors.
|
|
/// </summary>
|
|
/// <param name="left">The first source vector.</param>
|
|
/// <param name="right">The second source vector.</param>
|
|
/// <returns>A vector containing the smallest components of the source vectors.</returns>
|
|
public static Int3 Min(Int3 left, Int3 right)
|
|
{
|
|
Int3 result;
|
|
Min(ref left, ref right, out result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Adds two vectors.
|
|
/// </summary>
|
|
/// <param name="left">The first vector to add.</param>
|
|
/// <param name="right">The second vector to add.</param>
|
|
/// <returns>The sum of the two vectors.</returns>
|
|
public static Int3 operator +(Int3 left, Int3 right)
|
|
{
|
|
return new Int3(left.X + right.X, left.Y + right.Y, left.Z + right.Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Assert a vector (return it unchanged).
|
|
/// </summary>
|
|
/// <param name="value">The vector to assert (unchange).</param>
|
|
/// <returns>The asserted (unchanged) vector.</returns>
|
|
public static Int3 operator +(Int3 value)
|
|
{
|
|
return value;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Subtracts two vectors.
|
|
/// </summary>
|
|
/// <param name="left">The first vector to subtract.</param>
|
|
/// <param name="right">The second vector to subtract.</param>
|
|
/// <returns>The difference of the two vectors.</returns>
|
|
public static Int3 operator -(Int3 left, Int3 right)
|
|
{
|
|
return new Int3(left.X - right.X, left.Y - right.Y, left.Z - right.Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Reverses the direction of a given vector.
|
|
/// </summary>
|
|
/// <param name="value">The vector to negate.</param>
|
|
/// <returns>A vector facing in the opposite direction.</returns>
|
|
public static Int3 operator -(Int3 value)
|
|
{
|
|
return new Int3(-value.X, -value.Y, -value.Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Scales a vector by the given value.
|
|
/// </summary>
|
|
/// <param name="value">The vector to scale.</param>
|
|
/// <param name="scale">The amount by which to scale the vector.</param>
|
|
/// <returns>The scaled vector.</returns>
|
|
public static Int3 operator *(float scale, Int3 value)
|
|
{
|
|
return new Int3((int)(value.X * scale), (int)(value.Y * scale), (int)(value.Z * scale));
|
|
}
|
|
|
|
/// <summary>
|
|
/// Scales a vector by the given value.
|
|
/// </summary>
|
|
/// <param name="value">The vector to scale.</param>
|
|
/// <param name="scale">The amount by which to scale the vector.</param>
|
|
/// <returns>The scaled vector.</returns>
|
|
public static Int3 operator *(Int3 value, float scale)
|
|
{
|
|
return new Int3((int)(value.X * scale), (int)(value.Y * scale), (int)(value.Z * scale));
|
|
}
|
|
|
|
/// <summary>
|
|
/// Scales a vector by the given value.
|
|
/// </summary>
|
|
/// <param name="value">The vector to scale.</param>
|
|
/// <param name="scale">The amount by which to scale the vector.</param>
|
|
/// <returns>The scaled vector.</returns>
|
|
public static Int3 operator /(Int3 value, float scale)
|
|
{
|
|
return new Int3((int)(value.X / scale), (int)(value.Y / scale), (int)(value.Z / scale));
|
|
}
|
|
|
|
/// <summary>
|
|
/// Tests for equality between two objects.
|
|
/// </summary>
|
|
/// <param name="left">The first value to compare.</param>
|
|
/// <param name="right">The second value to compare.</param>
|
|
/// <returns><c>true</c> if <paramref name="left"/> has the same value as <paramref name="right"/>; otherwise, <c>false</c>.</returns>
|
|
public static bool operator ==(Int3 left, Int3 right)
|
|
{
|
|
return left.Equals(right);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Tests for inequality between two objects.
|
|
/// </summary>
|
|
/// <param name="left">The first value to compare.</param>
|
|
/// <param name="right">The second value to compare.</param>
|
|
/// <returns><c>true</c> if <paramref name="left"/> has a different value than <paramref name="right"/>; otherwise, <c>false</c>.</returns>
|
|
public static bool operator !=(Int3 left, Int3 right)
|
|
{
|
|
return !left.Equals(right);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs an explicit conversion from <see cref="Int3"/> to <see cref="Vec2"/>.
|
|
/// </summary>
|
|
/// <param name="value">The value.</param>
|
|
/// <returns>The result of the conversion.</returns>
|
|
public static explicit operator Vec2(Int3 value)
|
|
{
|
|
return new Vec2(value.X, value.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs an explicit conversion from <see cref="Int3"/> to <see cref="Vector3"/>.
|
|
/// </summary>
|
|
/// <param name="value">The value.</param>
|
|
/// <returns>The result of the conversion.</returns>
|
|
public static explicit operator Vector3(Int3 value)
|
|
{
|
|
return new Vector3(value.X, value.Y, value.Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs an explicit conversion from <see cref="Int3"/> to <see cref="Vector4"/>.
|
|
/// </summary>
|
|
/// <param name="value">The value.</param>
|
|
/// <returns>The result of the conversion.</returns>
|
|
public static explicit operator Vector4(Int3 value)
|
|
{
|
|
return new Vector4(value.X, value.Y, value.Z, 0);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a <see cref="string"/> that represents this instance.
|
|
/// </summary>
|
|
/// <returns>
|
|
/// A <see cref="string"/> that represents this instance.
|
|
/// </returns>
|
|
public override string ToString()
|
|
{
|
|
return string.Format(CultureInfo.CurrentCulture, "X:{0} Y:{1} Z:{2}", X, Y, Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a <see cref="string"/> that represents this instance.
|
|
/// </summary>
|
|
/// <param name="format">The format.</param>
|
|
/// <returns>
|
|
/// A <see cref="string"/> that represents this instance.
|
|
/// </returns>
|
|
public string ToString(string format)
|
|
{
|
|
if (format == null)
|
|
return ToString();
|
|
|
|
return string.Format(CultureInfo.CurrentCulture, "X:{0} Y:{1} Z:{2}", X.ToString(format, CultureInfo.CurrentCulture),
|
|
Y.ToString(format, CultureInfo.CurrentCulture), Z.ToString(format, CultureInfo.CurrentCulture));
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a <see cref="string"/> that represents this instance.
|
|
/// </summary>
|
|
/// <param name="formatProvider">The format provider.</param>
|
|
/// <returns>
|
|
/// A <see cref="string"/> that represents this instance.
|
|
/// </returns>
|
|
public string ToString(IFormatProvider formatProvider)
|
|
{
|
|
return string.Format(formatProvider, "X:{0} Y:{1} Z:{2}", X, Y, Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a <see cref="string"/> that represents this instance.
|
|
/// </summary>
|
|
/// <param name="format">The format.</param>
|
|
/// <param name="formatProvider">The format provider.</param>
|
|
/// <returns>
|
|
/// A <see cref="string"/> that represents this instance.
|
|
/// </returns>
|
|
public string ToString(string format, IFormatProvider formatProvider)
|
|
{
|
|
if (format == null)
|
|
return ToString(formatProvider);
|
|
|
|
return string.Format(formatProvider, "X:{0} Y:{1} Z:{2}", X.ToString(format, formatProvider),
|
|
Y.ToString(format, formatProvider), Z.ToString(format, formatProvider));
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a hash code for this instance.
|
|
/// </summary>
|
|
/// <returns>
|
|
/// A hash code for this instance, suitable for use in hashing algorithms and data structures like a hash table.
|
|
/// </returns>
|
|
public override int GetHashCode()
|
|
{
|
|
return X.GetHashCode() + Y.GetHashCode() + Z.GetHashCode();
|
|
}
|
|
|
|
/// <summary>
|
|
/// Determines whether the specified <see cref="Int3"/> is equal to this instance.
|
|
/// </summary>
|
|
/// <param name="other">The <see cref="Int3"/> to compare with this instance.</param>
|
|
/// <returns>
|
|
/// <c>true</c> if the specified <see cref="Int3"/> is equal to this instance; otherwise, <c>false</c>.
|
|
/// </returns>
|
|
public bool Equals(Int3 other)
|
|
{
|
|
return ((float)Math.Abs(other.X - X) < MathUtil.ZeroTolerance &&
|
|
(float)Math.Abs(other.Y - Y) < MathUtil.ZeroTolerance &&
|
|
(float)Math.Abs(other.Z - Z) < MathUtil.ZeroTolerance);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Determines whether the specified <see cref="object"/> is equal to this instance.
|
|
/// </summary>
|
|
/// <param name="value">The <see cref="object"/> to compare with this instance.</param>
|
|
/// <returns>
|
|
/// <c>true</c> if the specified <see cref="object"/> is equal to this instance; otherwise, <c>false</c>.
|
|
/// </returns>
|
|
public override bool Equals(object value)
|
|
{
|
|
if (value == null)
|
|
return false;
|
|
|
|
if (value.GetType() != GetType())
|
|
return false;
|
|
|
|
return Equals((Int3)value);
|
|
}
|
|
#if WPFInterop
|
|
/// <summary>
|
|
/// Performs an implicit conversion from <see cref="math.Int3"/> to <see cref="System.Windows.Media.Media3D.Int3D"/>.
|
|
/// </summary>
|
|
/// <param name="value">The value.</param>
|
|
/// <returns>The result of the conversion.</returns>
|
|
public static implicit operator System.Windows.Media.Media3D.Int3D(Int3 value)
|
|
{
|
|
return new System.Windows.Media.Media3D.Int3D(value.X, value.Y, value.Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs an explicit conversion from <see cref="System.Windows.Media.Media3D.Int3D"/> to <see cref="math.Int3"/>.
|
|
/// </summary>
|
|
/// <param name="value">The value.</param>
|
|
/// <returns>The result of the conversion.</returns>
|
|
public static explicit operator Int3(System.Windows.Media.Media3D.Int3D value)
|
|
{
|
|
return new Int3((float)value.X, (float)value.Y, (float)value.Z);
|
|
}
|
|
#endif
|
|
|
|
#if XnaInterop
|
|
/// <summary>
|
|
/// Performs an implicit conversion from <see cref="math.Int3"/> to <see cref="Microsoft.Xna.Framework.Int3"/>.
|
|
/// </summary>
|
|
/// <param name="value">The value.</param>
|
|
/// <returns>The result of the conversion.</returns>
|
|
public static implicit operator Microsoft.Xna.Framework.Int3(Int3 value)
|
|
{
|
|
return new Microsoft.Xna.Framework.Int3(value.X, value.Y, value.Z);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs an implicit conversion from <see cref="Microsoft.Xna.Framework.Int3"/> to <see cref="math.Int3"/>.
|
|
/// </summary>
|
|
/// <param name="value">The value.</param>
|
|
/// <returns>The result of the conversion.</returns>
|
|
public static implicit operator Int3(Microsoft.Xna.Framework.Int3 value)
|
|
{
|
|
return new Int3(value.X, value.Y, value.Z);
|
|
}
|
|
#endif
|
|
}
|
|
}
|