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| 1452 | chris | 1 | #region --- License --- |
| 2 | /* |
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| 3 | Copyright (c) 2006 - 2008 The Open Toolkit library. |
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| 4 | |||
| 5 | Permission is hereby granted, free of charge, to any person obtaining a copy of |
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| 6 | this software and associated documentation files (the "Software"), to deal in |
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| 7 | the Software without restriction, including without limitation the rights to |
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| 8 | use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies |
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| 9 | of the Software, and to permit persons to whom the Software is furnished to do |
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| 10 | so, subject to the following conditions: |
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| 11 | |||
| 12 | The above copyright notice and this permission notice shall be included in all |
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| 13 | copies or substantial portions of the Software. |
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| 14 | |||
| 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR |
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| 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, |
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| 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE |
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| 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER |
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| 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, |
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| 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE |
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| 21 | SOFTWARE. |
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| 22 | */ |
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| 23 | #endregion |
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| 24 | |||
| 25 | using System; |
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| 26 | using System.Runtime.InteropServices; |
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| 27 | namespace OpenTK |
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| 28 | { |
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| 29 | /// <summary>Represents a 2D vector using two single-precision floating-point numbers.</summary> |
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| 30 | /// <remarks> |
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| 31 | /// The Vector2 structure is suitable for interoperation with unmanaged code requiring two consecutive floats. |
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| 32 | /// </remarks> |
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| 33 | [Serializable] |
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| 34 | [StructLayout(LayoutKind.Sequential)] |
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| 35 | public struct Vector2 : IEquatable<Vector2> |
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| 36 | { |
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| 37 | #region Fields |
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| 38 | |||
| 39 | /// <summary> |
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| 40 | /// The X component of the Vector2. |
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| 41 | /// </summary> |
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| 42 | public float X; |
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| 43 | |||
| 44 | /// <summary> |
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| 45 | /// The Y component of the Vector2. |
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| 46 | /// </summary> |
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| 47 | public float Y; |
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| 48 | |||
| 49 | #endregion |
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| 50 | |||
| 51 | #region Constructors |
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| 52 | |||
| 53 | /// <summary> |
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| 54 | /// Constructs a new Vector2. |
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| 55 | /// </summary> |
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| 56 | /// <param name="x">The x coordinate of the net Vector2.</param> |
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| 57 | /// <param name="y">The y coordinate of the net Vector2.</param> |
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| 58 | public Vector2(float x, float y) |
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| 59 | { |
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| 60 | X = x; |
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| 61 | Y = y; |
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| 62 | } |
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| 63 | |||
| 64 | /// <summary> |
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| 65 | /// Constructs a new Vector2 from the given Vector2. |
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| 66 | /// </summary> |
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| 67 | /// <param name="v">The Vector2 to copy components from.</param> |
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| 68 | [Obsolete] |
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| 69 | public Vector2(Vector2 v) |
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| 70 | { |
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| 71 | X = v.X; |
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| 72 | Y = v.Y; |
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| 73 | } |
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| 74 | |||
| 75 | /// <summary> |
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| 76 | /// Constructs a new Vector2 from the given Vector3. |
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| 77 | /// </summary> |
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| 78 | /// <param name="v">The Vector3 to copy components from. Z is discarded.</param> |
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| 79 | [Obsolete] |
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| 80 | public Vector2(Vector3 v) |
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| 81 | { |
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| 82 | X = v.X; |
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| 83 | Y = v.Y; |
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| 84 | } |
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| 85 | |||
| 86 | /// <summary> |
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| 87 | /// Constructs a new Vector2 from the given Vector4. |
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| 88 | /// </summary> |
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| 89 | /// <param name="v">The Vector4 to copy components from. Z and W are discarded.</param> |
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| 90 | [Obsolete] |
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| 91 | public Vector2(Vector4 v) |
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| 92 | { |
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| 93 | X = v.X; |
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| 94 | Y = v.Y; |
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| 95 | } |
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| 96 | |||
| 97 | #endregion |
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| 98 | |||
| 99 | #region Public Members |
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| 100 | |||
| 101 | #region Instance |
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| 102 | |||
| 103 | #region public void Add() |
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| 104 | |||
| 105 | /// <summary>Add the Vector passed as parameter to this instance.</summary> |
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| 106 | /// <param name="right">Right operand. This parameter is only read from.</param> |
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| 107 | [Obsolete("Use static Add() method instead.")] |
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| 108 | public void Add(Vector2 right) |
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| 109 | { |
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| 110 | this.X += right.X; |
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| 111 | this.Y += right.Y; |
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| 112 | } |
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| 113 | |||
| 114 | /// <summary>Add the Vector passed as parameter to this instance.</summary> |
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| 115 | /// <param name="right">Right operand. This parameter is only read from.</param> |
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| 116 | [CLSCompliant(false)] |
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| 117 | [Obsolete("Use static Add() method instead.")] |
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| 118 | public void Add(ref Vector2 right) |
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| 119 | { |
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| 120 | this.X += right.X; |
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| 121 | this.Y += right.Y; |
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| 122 | } |
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| 123 | |||
| 124 | #endregion public void Add() |
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| 125 | |||
| 126 | #region public void Sub() |
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| 127 | |||
| 128 | /// <summary>Subtract the Vector passed as parameter from this instance.</summary> |
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| 129 | /// <param name="right">Right operand. This parameter is only read from.</param> |
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| 130 | [Obsolete("Use static Subtract() method instead.")] |
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| 131 | public void Sub(Vector2 right) |
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| 132 | { |
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| 133 | this.X -= right.X; |
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| 134 | this.Y -= right.Y; |
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| 135 | } |
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| 136 | |||
| 137 | /// <summary>Subtract the Vector passed as parameter from this instance.</summary> |
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| 138 | /// <param name="right">Right operand. This parameter is only read from.</param> |
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| 139 | [CLSCompliant(false)] |
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| 140 | [Obsolete("Use static Subtract() method instead.")] |
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| 141 | public void Sub(ref Vector2 right) |
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| 142 | { |
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| 143 | this.X -= right.X; |
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| 144 | this.Y -= right.Y; |
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| 145 | } |
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| 146 | |||
| 147 | #endregion public void Sub() |
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| 148 | |||
| 149 | #region public void Mult() |
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| 150 | |||
| 151 | /// <summary>Multiply this instance by a scalar.</summary> |
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| 152 | /// <param name="f">Scalar operand.</param> |
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| 153 | [Obsolete("Use static Multiply() method instead.")] |
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| 154 | public void Mult(float f) |
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| 155 | { |
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| 156 | this.X *= f; |
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| 157 | this.Y *= f; |
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| 158 | } |
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| 159 | |||
| 160 | #endregion public void Mult() |
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| 161 | |||
| 162 | #region public void Div() |
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| 163 | |||
| 164 | /// <summary>Divide this instance by a scalar.</summary> |
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| 165 | /// <param name="f">Scalar operand.</param> |
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| 166 | [Obsolete("Use static Divide() method instead.")] |
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| 167 | public void Div(float f) |
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| 168 | { |
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| 169 | float mult = 1.0f / f; |
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| 170 | this.X *= mult; |
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| 171 | this.Y *= mult; |
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| 172 | } |
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| 173 | |||
| 174 | #endregion public void Div() |
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| 175 | |||
| 176 | #region public float Length |
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| 177 | |||
| 178 | /// <summary> |
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| 179 | /// Gets the length (magnitude) of the vector. |
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| 180 | /// </summary> |
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| 181 | /// <see cref="LengthFast"/> |
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| 182 | /// <seealso cref="LengthSquared"/> |
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| 183 | public float Length |
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| 184 | { |
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| 185 | get |
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| 186 | { |
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| 187 | return (float)System.Math.Sqrt(X * X + Y * Y); |
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| 188 | } |
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| 189 | } |
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| 190 | |||
| 191 | #endregion |
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| 192 | |||
| 193 | #region public float LengthFast |
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| 194 | |||
| 195 | /// <summary> |
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| 196 | /// Gets an approximation of the vector length (magnitude). |
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| 197 | /// </summary> |
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| 198 | /// <remarks> |
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| 199 | /// This property uses an approximation of the square root function to calculate vector magnitude, with |
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| 200 | /// an upper error bound of 0.001. |
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| 201 | /// </remarks> |
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| 202 | /// <see cref="Length"/> |
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| 203 | /// <seealso cref="LengthSquared"/> |
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| 204 | public float LengthFast |
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| 205 | { |
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| 206 | get |
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| 207 | { |
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| 208 | return 1.0f / MathHelper.InverseSqrtFast(X * X + Y * Y); |
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| 209 | } |
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| 210 | } |
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| 211 | |||
| 212 | #endregion |
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| 213 | |||
| 214 | #region public float LengthSquared |
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| 215 | |||
| 216 | /// <summary> |
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| 217 | /// Gets the square of the vector length (magnitude). |
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| 218 | /// </summary> |
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| 219 | /// <remarks> |
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| 220 | /// This property avoids the costly square root operation required by the Length property. This makes it more suitable |
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| 221 | /// for comparisons. |
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| 222 | /// </remarks> |
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| 223 | /// <see cref="Length"/> |
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| 224 | /// <seealso cref="LengthFast"/> |
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| 225 | public float LengthSquared |
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| 226 | { |
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| 227 | get |
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| 228 | { |
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| 229 | return X * X + Y * Y; |
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| 230 | } |
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| 231 | } |
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| 232 | |||
| 233 | #endregion |
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| 234 | |||
| 235 | #region public Vector2 PerpendicularRight |
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| 236 | |||
| 237 | /// <summary> |
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| 238 | /// Gets the perpendicular vector on the right side of this vector. |
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| 239 | /// </summary> |
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| 240 | public Vector2 PerpendicularRight |
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| 241 | { |
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| 242 | get |
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| 243 | { |
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| 244 | return new Vector2(Y, -X); |
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| 245 | } |
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| 246 | } |
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| 247 | |||
| 248 | #endregion |
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| 249 | |||
| 250 | #region public Vector2 PerpendicularLeft |
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| 251 | |||
| 252 | /// <summary> |
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| 253 | /// Gets the perpendicular vector on the left side of this vector. |
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| 254 | /// </summary> |
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| 255 | public Vector2 PerpendicularLeft |
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| 256 | { |
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| 257 | get |
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| 258 | { |
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| 259 | return new Vector2(-Y, X); |
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| 260 | } |
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| 261 | } |
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| 262 | |||
| 263 | #endregion |
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| 264 | |||
| 265 | #region public void Normalize() |
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| 266 | |||
| 267 | /// <summary> |
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| 268 | /// Scales the Vector2 to unit length. |
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| 269 | /// </summary> |
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| 270 | public void Normalize() |
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| 271 | { |
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| 272 | float scale = 1.0f / this.Length; |
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| 273 | X *= scale; |
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| 274 | Y *= scale; |
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| 275 | } |
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| 276 | |||
| 277 | #endregion |
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| 278 | |||
| 279 | #region public void NormalizeFast() |
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| 280 | |||
| 281 | /// <summary> |
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| 282 | /// Scales the Vector2 to approximately unit length. |
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| 283 | /// </summary> |
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| 284 | public void NormalizeFast() |
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| 285 | { |
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| 286 | float scale = MathHelper.InverseSqrtFast(X * X + Y * Y); |
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| 287 | X *= scale; |
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| 288 | Y *= scale; |
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| 289 | } |
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| 290 | |||
| 291 | #endregion |
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| 292 | |||
| 293 | #region public void Scale() |
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| 294 | |||
| 295 | /// <summary> |
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| 296 | /// Scales the current Vector2 by the given amounts. |
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| 297 | /// </summary> |
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| 298 | /// <param name="sx">The scale of the X component.</param> |
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| 299 | /// <param name="sy">The scale of the Y component.</param> |
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| 300 | [Obsolete("Use static Multiply() method instead.")] |
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| 301 | public void Scale(float sx, float sy) |
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| 302 | { |
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| 303 | this.X = X * sx; |
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| 304 | this.Y = Y * sy; |
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| 305 | } |
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| 306 | |||
| 307 | /// <summary>Scales this instance by the given parameter.</summary> |
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| 308 | /// <param name="scale">The scaling of the individual components.</param> |
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| 309 | [Obsolete("Use static Multiply() method instead.")] |
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| 310 | public void Scale(Vector2 scale) |
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| 311 | { |
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| 312 | this.X *= scale.X; |
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| 313 | this.Y *= scale.Y; |
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| 314 | } |
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| 315 | |||
| 316 | /// <summary>Scales this instance by the given parameter.</summary> |
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| 317 | /// <param name="scale">The scaling of the individual components.</param> |
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| 318 | [CLSCompliant(false)] |
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| 319 | [Obsolete("Use static Multiply() method instead.")] |
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| 320 | public void Scale(ref Vector2 scale) |
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| 321 | { |
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| 322 | this.X *= scale.X; |
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| 323 | this.Y *= scale.Y; |
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| 324 | } |
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| 325 | |||
| 326 | #endregion public void Scale() |
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| 327 | |||
| 328 | #endregion |
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| 329 | |||
| 330 | #region Static |
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| 331 | |||
| 332 | #region Fields |
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| 333 | |||
| 334 | /// <summary> |
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| 335 | /// Defines a unit-length Vector2 that points towards the X-axis. |
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| 336 | /// </summary> |
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| 337 | public static readonly Vector2 UnitX = new Vector2(1, 0); |
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| 338 | |||
| 339 | /// <summary> |
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| 340 | /// Defines a unit-length Vector2 that points towards the Y-axis. |
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| 341 | /// </summary> |
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| 342 | public static readonly Vector2 UnitY = new Vector2(0, 1); |
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| 343 | |||
| 344 | /// <summary> |
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| 345 | /// Defines a zero-length Vector2. |
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| 346 | /// </summary> |
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| 347 | public static readonly Vector2 Zero = new Vector2(0, 0); |
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| 348 | |||
| 349 | /// <summary> |
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| 350 | /// Defines an instance with all components set to 1. |
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| 351 | /// </summary> |
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| 352 | public static readonly Vector2 One = new Vector2(1, 1); |
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| 353 | |||
| 354 | /// <summary> |
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| 355 | /// Defines the size of the Vector2 struct in bytes. |
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| 356 | /// </summary> |
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| 357 | public static readonly int SizeInBytes = Marshal.SizeOf(new Vector2()); |
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| 358 | |||
| 359 | #endregion |
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| 360 | |||
| 361 | #region Obsolete |
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| 362 | |||
| 363 | #region Sub |
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| 364 | |||
| 365 | /// <summary> |
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| 366 | /// Subtract one Vector from another |
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| 367 | /// </summary> |
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| 368 | /// <param name="a">First operand</param> |
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| 369 | /// <param name="b">Second operand</param> |
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| 370 | /// <returns>Result of subtraction</returns> |
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| 371 | [Obsolete("Use static Subtract() method instead.")] |
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| 372 | public static Vector2 Sub(Vector2 a, Vector2 b) |
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| 373 | { |
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| 374 | a.X -= b.X; |
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| 375 | a.Y -= b.Y; |
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| 376 | return a; |
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| 377 | } |
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| 378 | |||
| 379 | /// <summary> |
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| 380 | /// Subtract one Vector from another |
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| 381 | /// </summary> |
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| 382 | /// <param name="a">First operand</param> |
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| 383 | /// <param name="b">Second operand</param> |
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| 384 | /// <param name="result">Result of subtraction</param> |
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| 385 | [Obsolete("Use static Subtract() method instead.")] |
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| 386 | public static void Sub(ref Vector2 a, ref Vector2 b, out Vector2 result) |
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| 387 | { |
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| 388 | result.X = a.X - b.X; |
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| 389 | result.Y = a.Y - b.Y; |
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| 390 | } |
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| 391 | |||
| 392 | #endregion |
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| 393 | |||
| 394 | #region Mult |
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| 395 | |||
| 396 | /// <summary> |
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| 397 | /// Multiply a vector and a scalar |
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| 398 | /// </summary> |
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| 399 | /// <param name="a">Vector operand</param> |
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| 400 | /// <param name="f">Scalar operand</param> |
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| 401 | /// <returns>Result of the multiplication</returns> |
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| 402 | [Obsolete("Use static Multiply() method instead.")] |
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| 403 | public static Vector2 Mult(Vector2 a, float f) |
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| 404 | { |
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| 405 | a.X *= f; |
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| 406 | a.Y *= f; |
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| 407 | return a; |
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| 408 | } |
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| 409 | |||
| 410 | /// <summary> |
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| 411 | /// Multiply a vector and a scalar |
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| 412 | /// </summary> |
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| 413 | /// <param name="a">Vector operand</param> |
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| 414 | /// <param name="f">Scalar operand</param> |
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| 415 | /// <param name="result">Result of the multiplication</param> |
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| 416 | [Obsolete("Use static Multiply() method instead.")] |
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| 417 | public static void Mult(ref Vector2 a, float f, out Vector2 result) |
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| 418 | { |
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| 419 | result.X = a.X * f; |
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| 420 | result.Y = a.Y * f; |
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| 421 | } |
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| 422 | |||
| 423 | #endregion |
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| 424 | |||
| 425 | #region Div |
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| 426 | |||
| 427 | /// <summary> |
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| 428 | /// Divide a vector by a scalar |
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| 429 | /// </summary> |
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| 430 | /// <param name="a">Vector operand</param> |
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| 431 | /// <param name="f">Scalar operand</param> |
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| 432 | /// <returns>Result of the division</returns> |
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| 433 | [Obsolete("Use static Divide() method instead.")] |
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| 434 | public static Vector2 Div(Vector2 a, float f) |
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| 435 | { |
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| 436 | float mult = 1.0f / f; |
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| 437 | a.X *= mult; |
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| 438 | a.Y *= mult; |
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| 439 | return a; |
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| 440 | } |
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| 441 | |||
| 442 | /// <summary> |
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| 443 | /// Divide a vector by a scalar |
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| 444 | /// </summary> |
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| 445 | /// <param name="a">Vector operand</param> |
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| 446 | /// <param name="f">Scalar operand</param> |
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| 447 | /// <param name="result">Result of the division</param> |
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| 448 | [Obsolete("Use static Divide() method instead.")] |
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| 449 | public static void Div(ref Vector2 a, float f, out Vector2 result) |
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| 450 | { |
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| 451 | float mult = 1.0f / f; |
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| 452 | result.X = a.X * mult; |
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| 453 | result.Y = a.Y * mult; |
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| 454 | } |
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| 455 | |||
| 456 | #endregion |
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| 457 | |||
| 458 | #endregion |
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| 459 | |||
| 460 | #region Add |
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| 461 | |||
| 462 | /// <summary> |
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| 463 | /// Adds two vectors. |
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| 464 | /// </summary> |
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| 465 | /// <param name="a">Left operand.</param> |
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| 466 | /// <param name="b">Right operand.</param> |
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| 467 | /// <returns>Result of operation.</returns> |
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| 468 | public static Vector2 Add(Vector2 a, Vector2 b) |
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| 469 | { |
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| 470 | Add(ref a, ref b, out a); |
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| 471 | return a; |
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| 472 | } |
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| 473 | |||
| 474 | /// <summary> |
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| 475 | /// Adds two vectors. |
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| 476 | /// </summary> |
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| 477 | /// <param name="a">Left operand.</param> |
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| 478 | /// <param name="b">Right operand.</param> |
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| 479 | /// <param name="result">Result of operation.</param> |
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| 480 | public static void Add(ref Vector2 a, ref Vector2 b, out Vector2 result) |
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| 481 | { |
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| 482 | result = new Vector2(a.X + b.X, a.Y + b.Y); |
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| 483 | } |
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| 484 | |||
| 485 | #endregion |
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| 486 | |||
| 487 | #region Subtract |
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| 488 | |||
| 489 | /// <summary> |
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| 490 | /// Subtract one Vector from another |
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| 491 | /// </summary> |
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| 492 | /// <param name="a">First operand</param> |
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| 493 | /// <param name="b">Second operand</param> |
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| 494 | /// <returns>Result of subtraction</returns> |
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| 495 | public static Vector2 Subtract(Vector2 a, Vector2 b) |
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| 496 | { |
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| 497 | Subtract(ref a, ref b, out a); |
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| 498 | return a; |
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| 499 | } |
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| 500 | |||
| 501 | /// <summary> |
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| 502 | /// Subtract one Vector from another |
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| 503 | /// </summary> |
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| 504 | /// <param name="a">First operand</param> |
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| 505 | /// <param name="b">Second operand</param> |
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| 506 | /// <param name="result">Result of subtraction</param> |
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| 507 | public static void Subtract(ref Vector2 a, ref Vector2 b, out Vector2 result) |
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| 508 | { |
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| 509 | result = new Vector2(a.X - b.X, a.Y - b.Y); |
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| 510 | } |
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| 511 | |||
| 512 | #endregion |
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| 513 | |||
| 514 | #region Multiply |
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| 515 | |||
| 516 | /// <summary> |
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| 517 | /// Multiplies a vector by a scalar. |
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| 518 | /// </summary> |
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| 519 | /// <param name="vector">Left operand.</param> |
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| 520 | /// <param name="scale">Right operand.</param> |
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| 521 | /// <returns>Result of the operation.</returns> |
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| 522 | public static Vector2 Multiply(Vector2 vector, float scale) |
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| 523 | { |
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| 524 | Multiply(ref vector, scale, out vector); |
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| 525 | return vector; |
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| 526 | } |
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| 527 | |||
| 528 | /// <summary> |
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| 529 | /// Multiplies a vector by a scalar. |
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| 530 | /// </summary> |
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| 531 | /// <param name="vector">Left operand.</param> |
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| 532 | /// <param name="scale">Right operand.</param> |
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| 533 | /// <param name="result">Result of the operation.</param> |
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| 534 | public static void Multiply(ref Vector2 vector, float scale, out Vector2 result) |
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| 535 | { |
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| 536 | result = new Vector2(vector.X * scale, vector.Y * scale); |
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| 537 | } |
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| 538 | |||
| 539 | /// <summary> |
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| 540 | /// Multiplies a vector by the components a vector (scale). |
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| 541 | /// </summary> |
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| 542 | /// <param name="vector">Left operand.</param> |
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| 543 | /// <param name="scale">Right operand.</param> |
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| 544 | /// <returns>Result of the operation.</returns> |
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| 545 | public static Vector2 Multiply(Vector2 vector, Vector2 scale) |
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| 546 | { |
||
| 547 | Multiply(ref vector, ref scale, out vector); |
||
| 548 | return vector; |
||
| 549 | } |
||
| 550 | |||
| 551 | /// <summary> |
||
| 552 | /// Multiplies a vector by the components of a vector (scale). |
||
| 553 | /// </summary> |
||
| 554 | /// <param name="vector">Left operand.</param> |
||
| 555 | /// <param name="scale">Right operand.</param> |
||
| 556 | /// <param name="result">Result of the operation.</param> |
||
| 557 | public static void Multiply(ref Vector2 vector, ref Vector2 scale, out Vector2 result) |
||
| 558 | { |
||
| 559 | result = new Vector2(vector.X * scale.X, vector.Y * scale.Y); |
||
| 560 | } |
||
| 561 | |||
| 562 | #endregion |
||
| 563 | |||
| 564 | #region Divide |
||
| 565 | |||
| 566 | /// <summary> |
||
| 567 | /// Divides a vector by a scalar. |
||
| 568 | /// </summary> |
||
| 569 | /// <param name="vector">Left operand.</param> |
||
| 570 | /// <param name="scale">Right operand.</param> |
||
| 571 | /// <returns>Result of the operation.</returns> |
||
| 572 | public static Vector2 Divide(Vector2 vector, float scale) |
||
| 573 | { |
||
| 574 | Divide(ref vector, scale, out vector); |
||
| 575 | return vector; |
||
| 576 | } |
||
| 577 | |||
| 578 | /// <summary> |
||
| 579 | /// Divides a vector by a scalar. |
||
| 580 | /// </summary> |
||
| 581 | /// <param name="vector">Left operand.</param> |
||
| 582 | /// <param name="scale">Right operand.</param> |
||
| 583 | /// <param name="result">Result of the operation.</param> |
||
| 584 | public static void Divide(ref Vector2 vector, float scale, out Vector2 result) |
||
| 585 | { |
||
| 586 | Multiply(ref vector, 1 / scale, out result); |
||
| 587 | } |
||
| 588 | |||
| 589 | /// <summary> |
||
| 590 | /// Divides a vector by the components of a vector (scale). |
||
| 591 | /// </summary> |
||
| 592 | /// <param name="vector">Left operand.</param> |
||
| 593 | /// <param name="scale">Right operand.</param> |
||
| 594 | /// <returns>Result of the operation.</returns> |
||
| 595 | public static Vector2 Divide(Vector2 vector, Vector2 scale) |
||
| 596 | { |
||
| 597 | Divide(ref vector, ref scale, out vector); |
||
| 598 | return vector; |
||
| 599 | } |
||
| 600 | |||
| 601 | /// <summary> |
||
| 602 | /// Divide a vector by the components of a vector (scale). |
||
| 603 | /// </summary> |
||
| 604 | /// <param name="vector">Left operand.</param> |
||
| 605 | /// <param name="scale">Right operand.</param> |
||
| 606 | /// <param name="result">Result of the operation.</param> |
||
| 607 | public static void Divide(ref Vector2 vector, ref Vector2 scale, out Vector2 result) |
||
| 608 | { |
||
| 609 | result = new Vector2(vector.X / scale.X, vector.Y / scale.Y); |
||
| 610 | } |
||
| 611 | |||
| 612 | #endregion |
||
| 613 | |||
| 614 | #region ComponentMin |
||
| 615 | |||
| 616 | /// <summary> |
||
| 617 | /// Calculate the component-wise minimum of two vectors |
||
| 618 | /// </summary> |
||
| 619 | /// <param name="a">First operand</param> |
||
| 620 | /// <param name="b">Second operand</param> |
||
| 621 | /// <returns>The component-wise minimum</returns> |
||
| 622 | public static Vector2 ComponentMin(Vector2 a, Vector2 b) |
||
| 623 | { |
||
| 624 | a.X = a.X < b.X ? a.X : b.X; |
||
| 625 | a.Y = a.Y < b.Y ? a.Y : b.Y; |
||
| 626 | return a; |
||
| 627 | } |
||
| 628 | |||
| 629 | /// <summary> |
||
| 630 | /// Calculate the component-wise minimum of two vectors |
||
| 631 | /// </summary> |
||
| 632 | /// <param name="a">First operand</param> |
||
| 633 | /// <param name="b">Second operand</param> |
||
| 634 | /// <param name="result">The component-wise minimum</param> |
||
| 635 | public static void ComponentMin(ref Vector2 a, ref Vector2 b, out Vector2 result) |
||
| 636 | { |
||
| 637 | result.X = a.X < b.X ? a.X : b.X; |
||
| 638 | result.Y = a.Y < b.Y ? a.Y : b.Y; |
||
| 639 | } |
||
| 640 | |||
| 641 | #endregion |
||
| 642 | |||
| 643 | #region ComponentMax |
||
| 644 | |||
| 645 | /// <summary> |
||
| 646 | /// Calculate the component-wise maximum of two vectors |
||
| 647 | /// </summary> |
||
| 648 | /// <param name="a">First operand</param> |
||
| 649 | /// <param name="b">Second operand</param> |
||
| 650 | /// <returns>The component-wise maximum</returns> |
||
| 651 | public static Vector2 ComponentMax(Vector2 a, Vector2 b) |
||
| 652 | { |
||
| 653 | a.X = a.X > b.X ? a.X : b.X; |
||
| 654 | a.Y = a.Y > b.Y ? a.Y : b.Y; |
||
| 655 | return a; |
||
| 656 | } |
||
| 657 | |||
| 658 | /// <summary> |
||
| 659 | /// Calculate the component-wise maximum of two vectors |
||
| 660 | /// </summary> |
||
| 661 | /// <param name="a">First operand</param> |
||
| 662 | /// <param name="b">Second operand</param> |
||
| 663 | /// <param name="result">The component-wise maximum</param> |
||
| 664 | public static void ComponentMax(ref Vector2 a, ref Vector2 b, out Vector2 result) |
||
| 665 | { |
||
| 666 | result.X = a.X > b.X ? a.X : b.X; |
||
| 667 | result.Y = a.Y > b.Y ? a.Y : b.Y; |
||
| 668 | } |
||
| 669 | |||
| 670 | #endregion |
||
| 671 | |||
| 672 | #region Min |
||
| 673 | |||
| 674 | /// <summary> |
||
| 675 | /// Returns the Vector3 with the minimum magnitude |
||
| 676 | /// </summary> |
||
| 677 | /// <param name="left">Left operand</param> |
||
| 678 | /// <param name="right">Right operand</param> |
||
| 679 | /// <returns>The minimum Vector3</returns> |
||
| 680 | public static Vector2 Min(Vector2 left, Vector2 right) |
||
| 681 | { |
||
| 682 | return left.LengthSquared < right.LengthSquared ? left : right; |
||
| 683 | } |
||
| 684 | |||
| 685 | #endregion |
||
| 686 | |||
| 687 | #region Max |
||
| 688 | |||
| 689 | /// <summary> |
||
| 690 | /// Returns the Vector3 with the minimum magnitude |
||
| 691 | /// </summary> |
||
| 692 | /// <param name="left">Left operand</param> |
||
| 693 | /// <param name="right">Right operand</param> |
||
| 694 | /// <returns>The minimum Vector3</returns> |
||
| 695 | public static Vector2 Max(Vector2 left, Vector2 right) |
||
| 696 | { |
||
| 697 | return left.LengthSquared >= right.LengthSquared ? left : right; |
||
| 698 | } |
||
| 699 | |||
| 700 | #endregion |
||
| 701 | |||
| 702 | #region Clamp |
||
| 703 | |||
| 704 | /// <summary> |
||
| 705 | /// Clamp a vector to the given minimum and maximum vectors |
||
| 706 | /// </summary> |
||
| 707 | /// <param name="vec">Input vector</param> |
||
| 708 | /// <param name="min">Minimum vector</param> |
||
| 709 | /// <param name="max">Maximum vector</param> |
||
| 710 | /// <returns>The clamped vector</returns> |
||
| 711 | public static Vector2 Clamp(Vector2 vec, Vector2 min, Vector2 max) |
||
| 712 | { |
||
| 713 | vec.X = vec.X < min.X ? min.X : vec.X > max.X ? max.X : vec.X; |
||
| 714 | vec.Y = vec.Y < min.Y ? min.Y : vec.Y > max.Y ? max.Y : vec.Y; |
||
| 715 | return vec; |
||
| 716 | } |
||
| 717 | |||
| 718 | /// <summary> |
||
| 719 | /// Clamp a vector to the given minimum and maximum vectors |
||
| 720 | /// </summary> |
||
| 721 | /// <param name="vec">Input vector</param> |
||
| 722 | /// <param name="min">Minimum vector</param> |
||
| 723 | /// <param name="max">Maximum vector</param> |
||
| 724 | /// <param name="result">The clamped vector</param> |
||
| 725 | public static void Clamp(ref Vector2 vec, ref Vector2 min, ref Vector2 max, out Vector2 result) |
||
| 726 | { |
||
| 727 | result.X = vec.X < min.X ? min.X : vec.X > max.X ? max.X : vec.X; |
||
| 728 | result.Y = vec.Y < min.Y ? min.Y : vec.Y > max.Y ? max.Y : vec.Y; |
||
| 729 | } |
||
| 730 | |||
| 731 | #endregion |
||
| 732 | |||
| 733 | #region Normalize |
||
| 734 | |||
| 735 | /// <summary> |
||
| 736 | /// Scale a vector to unit length |
||
| 737 | /// </summary> |
||
| 738 | /// <param name="vec">The input vector</param> |
||
| 739 | /// <returns>The normalized vector</returns> |
||
| 740 | public static Vector2 Normalize(Vector2 vec) |
||
| 741 | { |
||
| 742 | float scale = 1.0f / vec.Length; |
||
| 743 | vec.X *= scale; |
||
| 744 | vec.Y *= scale; |
||
| 745 | return vec; |
||
| 746 | } |
||
| 747 | |||
| 748 | /// <summary> |
||
| 749 | /// Scale a vector to unit length |
||
| 750 | /// </summary> |
||
| 751 | /// <param name="vec">The input vector</param> |
||
| 752 | /// <param name="result">The normalized vector</param> |
||
| 753 | public static void Normalize(ref Vector2 vec, out Vector2 result) |
||
| 754 | { |
||
| 755 | float scale = 1.0f / vec.Length; |
||
| 756 | result.X = vec.X * scale; |
||
| 757 | result.Y = vec.Y * scale; |
||
| 758 | } |
||
| 759 | |||
| 760 | #endregion |
||
| 761 | |||
| 762 | #region NormalizeFast |
||
| 763 | |||
| 764 | /// <summary> |
||
| 765 | /// Scale a vector to approximately unit length |
||
| 766 | /// </summary> |
||
| 767 | /// <param name="vec">The input vector</param> |
||
| 768 | /// <returns>The normalized vector</returns> |
||
| 769 | public static Vector2 NormalizeFast(Vector2 vec) |
||
| 770 | { |
||
| 771 | float scale = MathHelper.InverseSqrtFast(vec.X * vec.X + vec.Y * vec.Y); |
||
| 772 | vec.X *= scale; |
||
| 773 | vec.Y *= scale; |
||
| 774 | return vec; |
||
| 775 | } |
||
| 776 | |||
| 777 | /// <summary> |
||
| 778 | /// Scale a vector to approximately unit length |
||
| 779 | /// </summary> |
||
| 780 | /// <param name="vec">The input vector</param> |
||
| 781 | /// <param name="result">The normalized vector</param> |
||
| 782 | public static void NormalizeFast(ref Vector2 vec, out Vector2 result) |
||
| 783 | { |
||
| 784 | float scale = MathHelper.InverseSqrtFast(vec.X * vec.X + vec.Y * vec.Y); |
||
| 785 | result.X = vec.X * scale; |
||
| 786 | result.Y = vec.Y * scale; |
||
| 787 | } |
||
| 788 | |||
| 789 | #endregion |
||
| 790 | |||
| 791 | #region Dot |
||
| 792 | |||
| 793 | /// <summary> |
||
| 794 | /// Calculate the dot (scalar) product of two vectors |
||
| 795 | /// </summary> |
||
| 796 | /// <param name="left">First operand</param> |
||
| 797 | /// <param name="right">Second operand</param> |
||
| 798 | /// <returns>The dot product of the two inputs</returns> |
||
| 799 | public static float Dot(Vector2 left, Vector2 right) |
||
| 800 | { |
||
| 801 | return left.X * right.X + left.Y * right.Y; |
||
| 802 | } |
||
| 803 | |||
| 804 | /// <summary> |
||
| 805 | /// Calculate the dot (scalar) product of two vectors |
||
| 806 | /// </summary> |
||
| 807 | /// <param name="left">First operand</param> |
||
| 808 | /// <param name="right">Second operand</param> |
||
| 809 | /// <param name="result">The dot product of the two inputs</param> |
||
| 810 | public static void Dot(ref Vector2 left, ref Vector2 right, out float result) |
||
| 811 | { |
||
| 812 | result = left.X * right.X + left.Y * right.Y; |
||
| 813 | } |
||
| 814 | |||
| 815 | #endregion |
||
| 816 | |||
| 817 | #region Lerp |
||
| 818 | |||
| 819 | /// <summary> |
||
| 820 | /// Returns a new Vector that is the linear blend of the 2 given Vectors |
||
| 821 | /// </summary> |
||
| 822 | /// <param name="a">First input vector</param> |
||
| 823 | /// <param name="b">Second input vector</param> |
||
| 824 | /// <param name="blend">The blend factor. a when blend=0, b when blend=1.</param> |
||
| 825 | /// <returns>a when blend=0, b when blend=1, and a linear combination otherwise</returns> |
||
| 826 | public static Vector2 Lerp(Vector2 a, Vector2 b, float blend) |
||
| 827 | { |
||
| 828 | a.X = blend * (b.X - a.X) + a.X; |
||
| 829 | a.Y = blend * (b.Y - a.Y) + a.Y; |
||
| 830 | return a; |
||
| 831 | } |
||
| 832 | |||
| 833 | /// <summary> |
||
| 834 | /// Returns a new Vector that is the linear blend of the 2 given Vectors |
||
| 835 | /// </summary> |
||
| 836 | /// <param name="a">First input vector</param> |
||
| 837 | /// <param name="b">Second input vector</param> |
||
| 838 | /// <param name="blend">The blend factor. a when blend=0, b when blend=1.</param> |
||
| 839 | /// <param name="result">a when blend=0, b when blend=1, and a linear combination otherwise</param> |
||
| 840 | public static void Lerp(ref Vector2 a, ref Vector2 b, float blend, out Vector2 result) |
||
| 841 | { |
||
| 842 | result.X = blend * (b.X - a.X) + a.X; |
||
| 843 | result.Y = blend * (b.Y - a.Y) + a.Y; |
||
| 844 | } |
||
| 845 | |||
| 846 | #endregion |
||
| 847 | |||
| 848 | #region Barycentric |
||
| 849 | |||
| 850 | /// <summary> |
||
| 851 | /// Interpolate 3 Vectors using Barycentric coordinates |
||
| 852 | /// </summary> |
||
| 853 | /// <param name="a">First input Vector</param> |
||
| 854 | /// <param name="b">Second input Vector</param> |
||
| 855 | /// <param name="c">Third input Vector</param> |
||
| 856 | /// <param name="u">First Barycentric Coordinate</param> |
||
| 857 | /// <param name="v">Second Barycentric Coordinate</param> |
||
| 858 | /// <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> |
||
| 859 | public static Vector2 BaryCentric(Vector2 a, Vector2 b, Vector2 c, float u, float v) |
||
| 860 | { |
||
| 861 | return a + u * (b - a) + v * (c - a); |
||
| 862 | } |
||
| 863 | |||
| 864 | /// <summary>Interpolate 3 Vectors using Barycentric coordinates</summary> |
||
| 865 | /// <param name="a">First input Vector.</param> |
||
| 866 | /// <param name="b">Second input Vector.</param> |
||
| 867 | /// <param name="c">Third input Vector.</param> |
||
| 868 | /// <param name="u">First Barycentric Coordinate.</param> |
||
| 869 | /// <param name="v">Second Barycentric Coordinate.</param> |
||
| 870 | /// <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> |
||
| 871 | public static void BaryCentric(ref Vector2 a, ref Vector2 b, ref Vector2 c, float u, float v, out Vector2 result) |
||
| 872 | { |
||
| 873 | result = a; // copy |
||
| 874 | |||
| 875 | Vector2 temp = b; // copy |
||
| 876 | Subtract(ref temp, ref a, out temp); |
||
| 877 | Multiply(ref temp, u, out temp); |
||
| 878 | Add(ref result, ref temp, out result); |
||
| 879 | |||
| 880 | temp = c; // copy |
||
| 881 | Subtract(ref temp, ref a, out temp); |
||
| 882 | Multiply(ref temp, v, out temp); |
||
| 883 | Add(ref result, ref temp, out result); |
||
| 884 | } |
||
| 885 | |||
| 886 | #endregion |
||
| 887 | |||
| 888 | #region Transform |
||
| 889 | |||
| 890 | /// <summary> |
||
| 891 | /// Transforms a vector by a quaternion rotation. |
||
| 892 | /// </summary> |
||
| 893 | /// <param name="vec">The vector to transform.</param> |
||
| 894 | /// <param name="quat">The quaternion to rotate the vector by.</param> |
||
| 895 | /// <returns>The result of the operation.</returns> |
||
| 896 | public static Vector2 Transform(Vector2 vec, Quaternion quat) |
||
| 897 | { |
||
| 898 | Vector2 result; |
||
| 899 | Transform(ref vec, ref quat, out result); |
||
| 900 | return result; |
||
| 901 | } |
||
| 902 | |||
| 903 | /// <summary> |
||
| 904 | /// Transforms a vector by a quaternion rotation. |
||
| 905 | /// </summary> |
||
| 906 | /// <param name="vec">The vector to transform.</param> |
||
| 907 | /// <param name="quat">The quaternion to rotate the vector by.</param> |
||
| 908 | /// <param name="result">The result of the operation.</param> |
||
| 909 | public static void Transform(ref Vector2 vec, ref Quaternion quat, out Vector2 result) |
||
| 910 | { |
||
| 911 | Quaternion v = new Quaternion(vec.X, vec.Y, 0, 0), i, t; |
||
| 912 | Quaternion.Invert(ref quat, out i); |
||
| 913 | Quaternion.Multiply(ref quat, ref v, out t); |
||
| 914 | Quaternion.Multiply(ref t, ref i, out v); |
||
| 915 | |||
| 916 | result = new Vector2(v.X, v.Y); |
||
| 917 | } |
||
| 918 | |||
| 919 | #endregion |
||
| 920 | |||
| 921 | #endregion |
||
| 922 | |||
| 923 | #region Operators |
||
| 924 | |||
| 925 | /// <summary> |
||
| 926 | /// Adds the specified instances. |
||
| 927 | /// </summary> |
||
| 928 | /// <param name="left">Left operand.</param> |
||
| 929 | /// <param name="right">Right operand.</param> |
||
| 930 | /// <returns>Result of addition.</returns> |
||
| 931 | public static Vector2 operator +(Vector2 left, Vector2 right) |
||
| 932 | { |
||
| 933 | left.X += right.X; |
||
| 934 | left.Y += right.Y; |
||
| 935 | return left; |
||
| 936 | } |
||
| 937 | |||
| 938 | /// <summary> |
||
| 939 | /// Subtracts the specified instances. |
||
| 940 | /// </summary> |
||
| 941 | /// <param name="left">Left operand.</param> |
||
| 942 | /// <param name="right">Right operand.</param> |
||
| 943 | /// <returns>Result of subtraction.</returns> |
||
| 944 | public static Vector2 operator -(Vector2 left, Vector2 right) |
||
| 945 | { |
||
| 946 | left.X -= right.X; |
||
| 947 | left.Y -= right.Y; |
||
| 948 | return left; |
||
| 949 | } |
||
| 950 | |||
| 951 | /// <summary> |
||
| 952 | /// Negates the specified instance. |
||
| 953 | /// </summary> |
||
| 954 | /// <param name="vec">Operand.</param> |
||
| 955 | /// <returns>Result of negation.</returns> |
||
| 956 | public static Vector2 operator -(Vector2 vec) |
||
| 957 | { |
||
| 958 | vec.X = -vec.X; |
||
| 959 | vec.Y = -vec.Y; |
||
| 960 | return vec; |
||
| 961 | } |
||
| 962 | |||
| 963 | /// <summary> |
||
| 964 | /// Multiplies the specified instance by a scalar. |
||
| 965 | /// </summary> |
||
| 966 | /// <param name="vec">Left operand.</param> |
||
| 967 | /// <param name="scale">Right operand.</param> |
||
| 968 | /// <returns>Result of multiplication.</returns> |
||
| 969 | public static Vector2 operator *(Vector2 vec, float scale) |
||
| 970 | { |
||
| 971 | vec.X *= scale; |
||
| 972 | vec.Y *= scale; |
||
| 973 | return vec; |
||
| 974 | } |
||
| 975 | |||
| 976 | /// <summary> |
||
| 977 | /// Multiplies the specified instance by a scalar. |
||
| 978 | /// </summary> |
||
| 979 | /// <param name="scale">Left operand.</param> |
||
| 980 | /// <param name="vec">Right operand.</param> |
||
| 981 | /// <returns>Result of multiplication.</returns> |
||
| 982 | public static Vector2 operator *(float scale, Vector2 vec) |
||
| 983 | { |
||
| 984 | vec.X *= scale; |
||
| 985 | vec.Y *= scale; |
||
| 986 | return vec; |
||
| 987 | } |
||
| 988 | |||
| 989 | /// <summary> |
||
| 990 | /// Divides the specified instance by a scalar. |
||
| 991 | /// </summary> |
||
| 992 | /// <param name="vec">Left operand</param> |
||
| 993 | /// <param name="scale">Right operand</param> |
||
| 994 | /// <returns>Result of the division.</returns> |
||
| 995 | public static Vector2 operator /(Vector2 vec, float scale) |
||
| 996 | { |
||
| 997 | float mult = 1.0f / scale; |
||
| 998 | vec.X *= mult; |
||
| 999 | vec.Y *= mult; |
||
| 1000 | return vec; |
||
| 1001 | } |
||
| 1002 | |||
| 1003 | /// <summary> |
||
| 1004 | /// Compares the specified instances for equality. |
||
| 1005 | /// </summary> |
||
| 1006 | /// <param name="left">Left operand.</param> |
||
| 1007 | /// <param name="right">Right operand.</param> |
||
| 1008 | /// <returns>True if both instances are equal; false otherwise.</returns> |
||
| 1009 | public static bool operator ==(Vector2 left, Vector2 right) |
||
| 1010 | { |
||
| 1011 | return left.Equals(right); |
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| 1012 | } |
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| 1013 | |||
| 1014 | /// <summary> |
||
| 1015 | /// Compares the specified instances for inequality. |
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| 1016 | /// </summary> |
||
| 1017 | /// <param name="left">Left operand.</param> |
||
| 1018 | /// <param name="right">Right operand.</param> |
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| 1019 | /// <returns>True if both instances are not equal; false otherwise.</returns> |
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| 1020 | public static bool operator !=(Vector2 left, Vector2 right) |
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| 1021 | { |
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| 1022 | return !left.Equals(right); |
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| 1023 | } |
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| 1024 | |||
| 1025 | #endregion |
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| 1026 | |||
| 1027 | #region Overrides |
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| 1028 | |||
| 1029 | #region public override string ToString() |
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| 1030 | |||
| 1031 | /// <summary> |
||
| 1032 | /// Returns a System.String that represents the current Vector2. |
||
| 1033 | /// </summary> |
||
| 1034 | /// <returns></returns> |
||
| 1035 | public override string ToString() |
||
| 1036 | { |
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| 1037 | return String.Format("({0}, {1})", X, Y); |
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| 1038 | } |
||
| 1039 | |||
| 1040 | #endregion |
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| 1041 | |||
| 1042 | #region public override int GetHashCode() |
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| 1043 | |||
| 1044 | /// <summary> |
||
| 1045 | /// Returns the hashcode for this instance. |
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| 1046 | /// </summary> |
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| 1047 | /// <returns>A System.Int32 containing the unique hashcode for this instance.</returns> |
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| 1048 | public override int GetHashCode() |
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| 1049 | { |
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| 1050 | return X.GetHashCode() ^ Y.GetHashCode(); |
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| 1051 | } |
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| 1052 | |||
| 1053 | #endregion |
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| 1054 | |||
| 1055 | #region public override bool Equals(object obj) |
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| 1056 | |||
| 1057 | /// <summary> |
||
| 1058 | /// Indicates whether this instance and a specified object are equal. |
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| 1059 | /// </summary> |
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| 1060 | /// <param name="obj">The object to compare to.</param> |
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| 1061 | /// <returns>True if the instances are equal; false otherwise.</returns> |
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| 1062 | public override bool Equals(object obj) |
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| 1063 | { |
||
| 1064 | if (!(obj is Vector2)) |
||
| 1065 | return false; |
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| 1066 | |||
| 1067 | return this.Equals((Vector2)obj); |
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| 1068 | } |
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| 1069 | |||
| 1070 | #endregion |
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| 1071 | |||
| 1072 | #endregion |
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| 1073 | |||
| 1074 | #endregion |
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| 1075 | |||
| 1076 | #region IEquatable<Vector2> Members |
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| 1077 | |||
| 1078 | /// <summary>Indicates whether the current vector is equal to another vector.</summary> |
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| 1079 | /// <param name="other">A vector to compare with this vector.</param> |
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| 1080 | /// <returns>true if the current vector is equal to the vector parameter; otherwise, false.</returns> |
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| 1081 | public bool Equals(Vector2 other) |
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| 1082 | { |
||
| 1083 | return |
||
| 1084 | X == other.X && |
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| 1085 | Y == other.Y; |
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| 1086 | } |
||
| 1087 | |||
| 1088 | #endregion |
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| 1089 | } |
||
| 1090 | } |