[148] | 1 | /* |
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| 2 | ----------------------------------------------------------------------------- |
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| 3 | This source file is part of OGRE |
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| 4 | (Object-oriented Graphics Rendering Engine) |
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| 5 | For the latest info, see http://www.ogre3d.org/ |
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| 6 | |
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| 7 | Copyright (c) 2000-2013 Torus Knot Software Ltd |
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| 8 | |
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| 9 | Permission is hereby granted, free of charge, to any person obtaining a copy |
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| 10 | of this software and associated documentation files (the "Software"), to deal |
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| 11 | in the Software without restriction, including without limitation the rights |
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| 12 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell |
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| 13 | copies of the Software, and to permit persons to whom the Software is |
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| 14 | furnished to do so, subject to the following conditions: |
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| 15 | |
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| 16 | The above copyright notice and this permission notice shall be included in |
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| 17 | all copies or substantial portions of the Software. |
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| 18 | |
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| 19 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR |
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| 20 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, |
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| 21 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE |
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| 22 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER |
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| 23 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, |
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| 24 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN |
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| 25 | THE SOFTWARE. |
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| 26 | ----------------------------------------------------------------------------- |
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| 27 | */ |
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| 28 | #ifndef __AxisAlignedBox_H_ |
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| 29 | #define __AxisAlignedBox_H_ |
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| 30 | |
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| 31 | // Precompiler options |
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| 32 | #include "OgrePrerequisites.h" |
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| 33 | |
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| 34 | #include "OgreVector3.h" |
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| 35 | #include "OgreMatrix4.h" |
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| 36 | |
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| 37 | namespace Ogre { |
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| 38 | /** \addtogroup Core |
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| 39 | * @{ |
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| 40 | */ |
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| 41 | /** \addtogroup Math |
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| 42 | * @{ |
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| 43 | */ |
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| 44 | |
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| 45 | /** A 3D box aligned with the x/y/z axes. |
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| 46 | @remarks |
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| 47 | This class represents a simple box which is aligned with the |
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| 48 | axes. Internally it only stores 2 points as the extremeties of |
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| 49 | the box, one which is the minima of all 3 axes, and the other |
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| 50 | which is the maxima of all 3 axes. This class is typically used |
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| 51 | for an axis-aligned bounding box (AABB) for collision and |
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| 52 | visibility determination. |
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| 53 | */ |
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| 54 | class _OgreExport AxisAlignedBox |
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| 55 | { |
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| 56 | public: |
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| 57 | enum Extent |
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| 58 | { |
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| 59 | EXTENT_NULL, |
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| 60 | EXTENT_FINITE, |
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| 61 | EXTENT_INFINITE |
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| 62 | }; |
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| 63 | protected: |
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| 64 | |
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| 65 | Vector3 mMinimum; |
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| 66 | Vector3 mMaximum; |
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| 67 | Extent mExtent; |
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| 68 | mutable Vector3* mCorners; |
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| 69 | |
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| 70 | public: |
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| 71 | /* |
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| 72 | 1-------2 |
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| 73 | /| /| |
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| 74 | / | / | |
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| 75 | 5-------4 | |
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| 76 | | 0----|--3 |
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| 77 | | / | / |
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| 78 | |/ |/ |
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| 79 | 6-------7 |
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| 80 | */ |
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| 81 | typedef enum { |
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| 82 | FAR_LEFT_BOTTOM = 0, |
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| 83 | FAR_LEFT_TOP = 1, |
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| 84 | FAR_RIGHT_TOP = 2, |
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| 85 | FAR_RIGHT_BOTTOM = 3, |
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| 86 | NEAR_RIGHT_BOTTOM = 7, |
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| 87 | NEAR_LEFT_BOTTOM = 6, |
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| 88 | NEAR_LEFT_TOP = 5, |
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| 89 | NEAR_RIGHT_TOP = 4 |
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| 90 | } CornerEnum; |
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| 91 | inline AxisAlignedBox() : mMinimum(Vector3::ZERO), mMaximum(Vector3::UNIT_SCALE), mCorners(0) |
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| 92 | { |
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| 93 | // Default to a null box |
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| 94 | setMinimum( -0.5, -0.5, -0.5 ); |
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| 95 | setMaximum( 0.5, 0.5, 0.5 ); |
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| 96 | mExtent = EXTENT_NULL; |
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| 97 | } |
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| 98 | inline AxisAlignedBox(Extent e) : mMinimum(Vector3::ZERO), mMaximum(Vector3::UNIT_SCALE), mCorners(0) |
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| 99 | { |
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| 100 | setMinimum( -0.5, -0.5, -0.5 ); |
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| 101 | setMaximum( 0.5, 0.5, 0.5 ); |
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| 102 | mExtent = e; |
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| 103 | } |
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| 104 | |
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| 105 | inline AxisAlignedBox(const AxisAlignedBox & rkBox) : mMinimum(Vector3::ZERO), mMaximum(Vector3::UNIT_SCALE), mCorners(0) |
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| 106 | |
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| 107 | { |
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| 108 | if (rkBox.isNull()) |
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| 109 | setNull(); |
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| 110 | else if (rkBox.isInfinite()) |
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| 111 | setInfinite(); |
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| 112 | else |
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| 113 | setExtents( rkBox.mMinimum, rkBox.mMaximum ); |
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| 114 | } |
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| 115 | |
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| 116 | inline AxisAlignedBox( const Vector3& min, const Vector3& max ) : mMinimum(Vector3::ZERO), mMaximum(Vector3::UNIT_SCALE), mCorners(0) |
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| 117 | { |
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| 118 | setExtents( min, max ); |
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| 119 | } |
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| 120 | |
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| 121 | inline AxisAlignedBox( |
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| 122 | Real mx, Real my, Real mz, |
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| 123 | Real Mx, Real My, Real Mz ) : mMinimum(Vector3::ZERO), mMaximum(Vector3::UNIT_SCALE), mCorners(0) |
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| 124 | { |
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| 125 | setExtents( mx, my, mz, Mx, My, Mz ); |
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| 126 | } |
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| 127 | |
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| 128 | AxisAlignedBox& operator=(const AxisAlignedBox& rhs) |
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| 129 | { |
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| 130 | // Specifically override to avoid copying mCorners |
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| 131 | if (rhs.isNull()) |
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| 132 | setNull(); |
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| 133 | else if (rhs.isInfinite()) |
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| 134 | setInfinite(); |
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| 135 | else |
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| 136 | setExtents(rhs.mMinimum, rhs.mMaximum); |
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| 137 | |
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| 138 | return *this; |
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| 139 | } |
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| 140 | |
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| 141 | ~AxisAlignedBox() |
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| 142 | { |
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| 143 | if (mCorners) |
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| 144 | OGRE_FREE(mCorners, MEMCATEGORY_SCENE_CONTROL); |
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| 145 | } |
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| 146 | |
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| 147 | |
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| 148 | /** Gets the minimum corner of the box. |
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| 149 | */ |
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| 150 | inline const Vector3& getMinimum(void) const |
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| 151 | { |
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| 152 | return mMinimum; |
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| 153 | } |
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| 154 | |
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| 155 | /** Gets a modifiable version of the minimum |
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| 156 | corner of the box. |
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| 157 | */ |
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| 158 | inline Vector3& getMinimum(void) |
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| 159 | { |
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| 160 | return mMinimum; |
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| 161 | } |
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| 162 | |
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| 163 | /** Gets the maximum corner of the box. |
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| 164 | */ |
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| 165 | inline const Vector3& getMaximum(void) const |
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| 166 | { |
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| 167 | return mMaximum; |
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| 168 | } |
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| 169 | |
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| 170 | /** Gets a modifiable version of the maximum |
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| 171 | corner of the box. |
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| 172 | */ |
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| 173 | inline Vector3& getMaximum(void) |
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| 174 | { |
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| 175 | return mMaximum; |
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| 176 | } |
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| 177 | |
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| 178 | |
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| 179 | /** Sets the minimum corner of the box. |
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| 180 | */ |
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| 181 | inline void setMinimum( const Vector3& vec ) |
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| 182 | { |
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| 183 | mExtent = EXTENT_FINITE; |
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| 184 | mMinimum = vec; |
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| 185 | } |
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| 186 | |
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| 187 | inline void setMinimum( Real x, Real y, Real z ) |
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| 188 | { |
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| 189 | mExtent = EXTENT_FINITE; |
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| 190 | mMinimum.x = x; |
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| 191 | mMinimum.y = y; |
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| 192 | mMinimum.z = z; |
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| 193 | } |
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| 194 | |
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| 195 | /** Changes one of the components of the minimum corner of the box |
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| 196 | used to resize only one dimension of the box |
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| 197 | */ |
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| 198 | inline void setMinimumX(Real x) |
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| 199 | { |
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| 200 | mMinimum.x = x; |
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| 201 | } |
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| 202 | |
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| 203 | inline void setMinimumY(Real y) |
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| 204 | { |
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| 205 | mMinimum.y = y; |
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| 206 | } |
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| 207 | |
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| 208 | inline void setMinimumZ(Real z) |
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| 209 | { |
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| 210 | mMinimum.z = z; |
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| 211 | } |
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| 212 | |
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| 213 | /** Sets the maximum corner of the box. |
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| 214 | */ |
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| 215 | inline void setMaximum( const Vector3& vec ) |
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| 216 | { |
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| 217 | mExtent = EXTENT_FINITE; |
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| 218 | mMaximum = vec; |
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| 219 | } |
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| 220 | |
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| 221 | inline void setMaximum( Real x, Real y, Real z ) |
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| 222 | { |
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| 223 | mExtent = EXTENT_FINITE; |
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| 224 | mMaximum.x = x; |
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| 225 | mMaximum.y = y; |
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| 226 | mMaximum.z = z; |
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| 227 | } |
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| 228 | |
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| 229 | /** Changes one of the components of the maximum corner of the box |
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| 230 | used to resize only one dimension of the box |
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| 231 | */ |
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| 232 | inline void setMaximumX( Real x ) |
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| 233 | { |
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| 234 | mMaximum.x = x; |
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| 235 | } |
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| 236 | |
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| 237 | inline void setMaximumY( Real y ) |
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| 238 | { |
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| 239 | mMaximum.y = y; |
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| 240 | } |
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| 241 | |
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| 242 | inline void setMaximumZ( Real z ) |
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| 243 | { |
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| 244 | mMaximum.z = z; |
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| 245 | } |
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| 246 | |
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| 247 | /** Sets both minimum and maximum extents at once. |
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| 248 | */ |
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| 249 | inline void setExtents( const Vector3& min, const Vector3& max ) |
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| 250 | { |
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| 251 | assert( (min.x <= max.x && min.y <= max.y && min.z <= max.z) && |
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| 252 | "The minimum corner of the box must be less than or equal to maximum corner" ); |
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| 253 | |
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| 254 | mExtent = EXTENT_FINITE; |
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| 255 | mMinimum = min; |
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| 256 | mMaximum = max; |
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| 257 | } |
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| 258 | |
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| 259 | inline void setExtents( |
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| 260 | Real mx, Real my, Real mz, |
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| 261 | Real Mx, Real My, Real Mz ) |
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| 262 | { |
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| 263 | assert( (mx <= Mx && my <= My && mz <= Mz) && |
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| 264 | "The minimum corner of the box must be less than or equal to maximum corner" ); |
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| 265 | |
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| 266 | mExtent = EXTENT_FINITE; |
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| 267 | |
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| 268 | mMinimum.x = mx; |
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| 269 | mMinimum.y = my; |
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| 270 | mMinimum.z = mz; |
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| 271 | |
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| 272 | mMaximum.x = Mx; |
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| 273 | mMaximum.y = My; |
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| 274 | mMaximum.z = Mz; |
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| 275 | |
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| 276 | } |
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| 277 | |
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| 278 | /** Returns a pointer to an array of 8 corner points, useful for |
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| 279 | collision vs. non-aligned objects. |
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| 280 | @remarks |
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| 281 | If the order of these corners is important, they are as |
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| 282 | follows: The 4 points of the minimum Z face (note that |
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| 283 | because Ogre uses right-handed coordinates, the minimum Z is |
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| 284 | at the 'back' of the box) starting with the minimum point of |
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| 285 | all, then anticlockwise around this face (if you are looking |
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| 286 | onto the face from outside the box). Then the 4 points of the |
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| 287 | maximum Z face, starting with maximum point of all, then |
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| 288 | anticlockwise around this face (looking onto the face from |
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| 289 | outside the box). Like this: |
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| 290 | <pre> |
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| 291 | 1-------2 |
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| 292 | /| /| |
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| 293 | / | / | |
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| 294 | 5-------4 | |
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| 295 | | 0----|--3 |
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| 296 | | / | / |
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| 297 | |/ |/ |
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| 298 | 6-------7 |
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| 299 | </pre> |
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| 300 | */ |
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| 301 | inline const Vector3* getAllCorners(void) const |
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| 302 | { |
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| 303 | assert( (mExtent == EXTENT_FINITE) && "Can't get corners of a null or infinite AAB" ); |
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| 304 | |
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| 305 | // The order of these items is, using right-handed co-ordinates: |
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| 306 | // Minimum Z face, starting with Min(all), then anticlockwise |
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| 307 | // around face (looking onto the face) |
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| 308 | // Maximum Z face, starting with Max(all), then anticlockwise |
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| 309 | // around face (looking onto the face) |
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| 310 | // Only for optimization/compatibility. |
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| 311 | if (!mCorners) |
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| 312 | mCorners = OGRE_ALLOC_T(Vector3, 8, MEMCATEGORY_SCENE_CONTROL); |
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| 313 | |
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| 314 | mCorners[0] = mMinimum; |
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| 315 | mCorners[1].x = mMinimum.x; mCorners[1].y = mMaximum.y; mCorners[1].z = mMinimum.z; |
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| 316 | mCorners[2].x = mMaximum.x; mCorners[2].y = mMaximum.y; mCorners[2].z = mMinimum.z; |
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| 317 | mCorners[3].x = mMaximum.x; mCorners[3].y = mMinimum.y; mCorners[3].z = mMinimum.z; |
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| 318 | |
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| 319 | mCorners[4] = mMaximum; |
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| 320 | mCorners[5].x = mMinimum.x; mCorners[5].y = mMaximum.y; mCorners[5].z = mMaximum.z; |
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| 321 | mCorners[6].x = mMinimum.x; mCorners[6].y = mMinimum.y; mCorners[6].z = mMaximum.z; |
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| 322 | mCorners[7].x = mMaximum.x; mCorners[7].y = mMinimum.y; mCorners[7].z = mMaximum.z; |
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| 323 | |
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| 324 | return mCorners; |
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| 325 | } |
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| 326 | |
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| 327 | /** Gets the position of one of the corners |
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| 328 | */ |
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| 329 | Vector3 getCorner(CornerEnum cornerToGet) const |
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| 330 | { |
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| 331 | switch(cornerToGet) |
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| 332 | { |
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| 333 | case FAR_LEFT_BOTTOM: |
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| 334 | return mMinimum; |
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| 335 | case FAR_LEFT_TOP: |
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| 336 | return Vector3(mMinimum.x, mMaximum.y, mMinimum.z); |
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| 337 | case FAR_RIGHT_TOP: |
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| 338 | return Vector3(mMaximum.x, mMaximum.y, mMinimum.z); |
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| 339 | case FAR_RIGHT_BOTTOM: |
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| 340 | return Vector3(mMaximum.x, mMinimum.y, mMinimum.z); |
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| 341 | case NEAR_RIGHT_BOTTOM: |
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| 342 | return Vector3(mMaximum.x, mMinimum.y, mMaximum.z); |
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| 343 | case NEAR_LEFT_BOTTOM: |
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| 344 | return Vector3(mMinimum.x, mMinimum.y, mMaximum.z); |
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| 345 | case NEAR_LEFT_TOP: |
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| 346 | return Vector3(mMinimum.x, mMaximum.y, mMaximum.z); |
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| 347 | case NEAR_RIGHT_TOP: |
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| 348 | return mMaximum; |
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| 349 | default: |
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| 350 | return Vector3(); |
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| 351 | } |
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| 352 | } |
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| 353 | |
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| 354 | _OgreExport friend std::ostream& operator<<( std::ostream& o, const AxisAlignedBox &aab ) |
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| 355 | { |
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| 356 | switch (aab.mExtent) |
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| 357 | { |
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| 358 | case EXTENT_NULL: |
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| 359 | o << "AxisAlignedBox(null)"; |
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| 360 | return o; |
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| 361 | |
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| 362 | case EXTENT_FINITE: |
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| 363 | o << "AxisAlignedBox(min=" << aab.mMinimum << ", max=" << aab.mMaximum << ")"; |
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| 364 | return o; |
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| 365 | |
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| 366 | case EXTENT_INFINITE: |
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| 367 | o << "AxisAlignedBox(infinite)"; |
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| 368 | return o; |
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| 369 | |
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| 370 | default: // shut up compiler |
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| 371 | assert( false && "Never reached" ); |
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| 372 | return o; |
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| 373 | } |
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| 374 | } |
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| 375 | |
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| 376 | /** Merges the passed in box into the current box. The result is the |
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| 377 | box which encompasses both. |
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| 378 | */ |
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| 379 | void merge( const AxisAlignedBox& rhs ) |
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| 380 | { |
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| 381 | // Do nothing if rhs null, or this is infinite |
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| 382 | if ((rhs.mExtent == EXTENT_NULL) || (mExtent == EXTENT_INFINITE)) |
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| 383 | { |
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| 384 | return; |
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| 385 | } |
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| 386 | // Otherwise if rhs is infinite, make this infinite, too |
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| 387 | else if (rhs.mExtent == EXTENT_INFINITE) |
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| 388 | { |
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| 389 | mExtent = EXTENT_INFINITE; |
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| 390 | } |
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| 391 | // Otherwise if current null, just take rhs |
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| 392 | else if (mExtent == EXTENT_NULL) |
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| 393 | { |
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| 394 | setExtents(rhs.mMinimum, rhs.mMaximum); |
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| 395 | } |
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| 396 | // Otherwise merge |
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| 397 | else |
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| 398 | { |
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| 399 | Vector3 min = mMinimum; |
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| 400 | Vector3 max = mMaximum; |
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| 401 | max.makeCeil(rhs.mMaximum); |
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| 402 | min.makeFloor(rhs.mMinimum); |
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| 403 | |
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| 404 | setExtents(min, max); |
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| 405 | } |
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| 406 | |
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| 407 | } |
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| 408 | |
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| 409 | /** Extends the box to encompass the specified point (if needed). |
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| 410 | */ |
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| 411 | inline void merge( const Vector3& point ) |
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| 412 | { |
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| 413 | switch (mExtent) |
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| 414 | { |
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| 415 | case EXTENT_NULL: // if null, use this point |
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| 416 | setExtents(point, point); |
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| 417 | return; |
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| 418 | |
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| 419 | case EXTENT_FINITE: |
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| 420 | mMaximum.makeCeil(point); |
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| 421 | mMinimum.makeFloor(point); |
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| 422 | return; |
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| 423 | |
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| 424 | case EXTENT_INFINITE: // if infinite, makes no difference |
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| 425 | return; |
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| 426 | } |
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| 427 | |
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| 428 | assert( false && "Never reached" ); |
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| 429 | } |
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| 430 | |
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| 431 | /** Transforms the box according to the matrix supplied. |
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| 432 | @remarks |
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| 433 | By calling this method you get the axis-aligned box which |
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| 434 | surrounds the transformed version of this box. Therefore each |
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| 435 | corner of the box is transformed by the matrix, then the |
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| 436 | extents are mapped back onto the axes to produce another |
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| 437 | AABB. Useful when you have a local AABB for an object which |
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| 438 | is then transformed. |
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| 439 | */ |
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| 440 | inline void transform( const Matrix4& matrix ) |
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| 441 | { |
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| 442 | // Do nothing if current null or infinite |
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| 443 | if( mExtent != EXTENT_FINITE ) |
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| 444 | return; |
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| 445 | |
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| 446 | Vector3 oldMin, oldMax, currentCorner; |
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| 447 | |
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| 448 | // Getting the old values so that we can use the existing merge method. |
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| 449 | oldMin = mMinimum; |
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| 450 | oldMax = mMaximum; |
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| 451 | |
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| 452 | // reset |
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| 453 | setNull(); |
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| 454 | |
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| 455 | // We sequentially compute the corners in the following order : |
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| 456 | // 0, 6, 5, 1, 2, 4 ,7 , 3 |
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| 457 | // This sequence allows us to only change one member at a time to get at all corners. |
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| 458 | |
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| 459 | // For each one, we transform it using the matrix |
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| 460 | // Which gives the resulting point and merge the resulting point. |
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| 461 | |
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| 462 | // First corner |
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| 463 | // min min min |
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| 464 | currentCorner = oldMin; |
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| 465 | merge( matrix * currentCorner ); |
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| 466 | |
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| 467 | // min,min,max |
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| 468 | currentCorner.z = oldMax.z; |
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| 469 | merge( matrix * currentCorner ); |
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| 470 | |
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| 471 | // min max max |
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| 472 | currentCorner.y = oldMax.y; |
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| 473 | merge( matrix * currentCorner ); |
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| 474 | |
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| 475 | // min max min |
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| 476 | currentCorner.z = oldMin.z; |
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| 477 | merge( matrix * currentCorner ); |
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| 478 | |
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| 479 | // max max min |
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| 480 | currentCorner.x = oldMax.x; |
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| 481 | merge( matrix * currentCorner ); |
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| 482 | |
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| 483 | // max max max |
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| 484 | currentCorner.z = oldMax.z; |
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| 485 | merge( matrix * currentCorner ); |
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| 486 | |
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| 487 | // max min max |
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| 488 | currentCorner.y = oldMin.y; |
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| 489 | merge( matrix * currentCorner ); |
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| 490 | |
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| 491 | // max min min |
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| 492 | currentCorner.z = oldMin.z; |
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| 493 | merge( matrix * currentCorner ); |
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| 494 | } |
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| 495 | |
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| 496 | /** Transforms the box according to the affine matrix supplied. |
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| 497 | @remarks |
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| 498 | By calling this method you get the axis-aligned box which |
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| 499 | surrounds the transformed version of this box. Therefore each |
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| 500 | corner of the box is transformed by the matrix, then the |
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| 501 | extents are mapped back onto the axes to produce another |
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| 502 | AABB. Useful when you have a local AABB for an object which |
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| 503 | is then transformed. |
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| 504 | @note |
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| 505 | The matrix must be an affine matrix. @see Matrix4::isAffine. |
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| 506 | */ |
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| 507 | void transformAffine(const Matrix4& m) |
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| 508 | { |
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| 509 | assert(m.isAffine()); |
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| 510 | |
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| 511 | // Do nothing if current null or infinite |
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| 512 | if ( mExtent != EXTENT_FINITE ) |
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| 513 | return; |
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| 514 | |
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| 515 | Vector3 centre = getCenter(); |
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| 516 | Vector3 halfSize = getHalfSize(); |
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| 517 | |
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| 518 | Vector3 newCentre = m.transformAffine(centre); |
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| 519 | Vector3 newHalfSize( |
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| 520 | Math::Abs(m[0][0]) * halfSize.x + Math::Abs(m[0][1]) * halfSize.y + Math::Abs(m[0][2]) * halfSize.z, |
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| 521 | Math::Abs(m[1][0]) * halfSize.x + Math::Abs(m[1][1]) * halfSize.y + Math::Abs(m[1][2]) * halfSize.z, |
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| 522 | Math::Abs(m[2][0]) * halfSize.x + Math::Abs(m[2][1]) * halfSize.y + Math::Abs(m[2][2]) * halfSize.z); |
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| 523 | |
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| 524 | setExtents(newCentre - newHalfSize, newCentre + newHalfSize); |
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| 525 | } |
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| 526 | |
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| 527 | /** Sets the box to a 'null' value i.e. not a box. |
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| 528 | */ |
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| 529 | inline void setNull() |
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| 530 | { |
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| 531 | mExtent = EXTENT_NULL; |
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| 532 | } |
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| 533 | |
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| 534 | /** Returns true if the box is null i.e. empty. |
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| 535 | */ |
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| 536 | inline bool isNull(void) const |
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| 537 | { |
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| 538 | return (mExtent == EXTENT_NULL); |
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| 539 | } |
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| 540 | |
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| 541 | /** Returns true if the box is finite. |
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| 542 | */ |
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| 543 | bool isFinite(void) const |
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| 544 | { |
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| 545 | return (mExtent == EXTENT_FINITE); |
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| 546 | } |
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| 547 | |
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| 548 | /** Sets the box to 'infinite' |
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| 549 | */ |
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| 550 | inline void setInfinite() |
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| 551 | { |
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| 552 | mExtent = EXTENT_INFINITE; |
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| 553 | } |
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| 554 | |
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| 555 | /** Returns true if the box is infinite. |
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| 556 | */ |
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| 557 | bool isInfinite(void) const |
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| 558 | { |
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| 559 | return (mExtent == EXTENT_INFINITE); |
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| 560 | } |
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| 561 | |
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| 562 | /** Returns whether or not this box intersects another. */ |
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| 563 | inline bool intersects(const AxisAlignedBox& b2) const |
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| 564 | { |
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| 565 | // Early-fail for nulls |
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| 566 | if (this->isNull() || b2.isNull()) |
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| 567 | return false; |
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| 568 | |
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| 569 | // Early-success for infinites |
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| 570 | if (this->isInfinite() || b2.isInfinite()) |
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| 571 | return true; |
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| 572 | |
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| 573 | // Use up to 6 separating planes |
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| 574 | if (mMaximum.x < b2.mMinimum.x) |
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| 575 | return false; |
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| 576 | if (mMaximum.y < b2.mMinimum.y) |
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| 577 | return false; |
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| 578 | if (mMaximum.z < b2.mMinimum.z) |
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| 579 | return false; |
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| 580 | |
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| 581 | if (mMinimum.x > b2.mMaximum.x) |
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| 582 | return false; |
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| 583 | if (mMinimum.y > b2.mMaximum.y) |
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| 584 | return false; |
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| 585 | if (mMinimum.z > b2.mMaximum.z) |
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| 586 | return false; |
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| 587 | |
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| 588 | // otherwise, must be intersecting |
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| 589 | return true; |
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| 590 | |
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| 591 | } |
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| 592 | |
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| 593 | /// Calculate the area of intersection of this box and another |
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| 594 | inline AxisAlignedBox intersection(const AxisAlignedBox& b2) const |
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| 595 | { |
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| 596 | if (this->isNull() || b2.isNull()) |
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| 597 | { |
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| 598 | return AxisAlignedBox(); |
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| 599 | } |
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| 600 | else if (this->isInfinite()) |
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| 601 | { |
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| 602 | return b2; |
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| 603 | } |
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| 604 | else if (b2.isInfinite()) |
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| 605 | { |
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| 606 | return *this; |
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| 607 | } |
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| 608 | |
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| 609 | Vector3 intMin = mMinimum; |
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| 610 | Vector3 intMax = mMaximum; |
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| 611 | |
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| 612 | intMin.makeCeil(b2.getMinimum()); |
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| 613 | intMax.makeFloor(b2.getMaximum()); |
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| 614 | |
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| 615 | // Check intersection isn't null |
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| 616 | if (intMin.x < intMax.x && |
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| 617 | intMin.y < intMax.y && |
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| 618 | intMin.z < intMax.z) |
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| 619 | { |
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| 620 | return AxisAlignedBox(intMin, intMax); |
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| 621 | } |
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| 622 | |
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| 623 | return AxisAlignedBox(); |
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| 624 | } |
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| 625 | |
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| 626 | /// Calculate the volume of this box |
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| 627 | Real volume(void) const |
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| 628 | { |
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| 629 | switch (mExtent) |
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| 630 | { |
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| 631 | case EXTENT_NULL: |
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| 632 | return 0.0f; |
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| 633 | |
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| 634 | case EXTENT_FINITE: |
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| 635 | { |
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| 636 | Vector3 diff = mMaximum - mMinimum; |
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| 637 | return diff.x * diff.y * diff.z; |
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| 638 | } |
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| 639 | |
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| 640 | case EXTENT_INFINITE: |
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| 641 | return Math::POS_INFINITY; |
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| 642 | |
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| 643 | default: // shut up compiler |
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| 644 | assert( false && "Never reached" ); |
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| 645 | return 0.0f; |
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| 646 | } |
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| 647 | } |
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| 648 | |
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| 649 | /** Scales the AABB by the vector given. */ |
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| 650 | inline void scale(const Vector3& s) |
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| 651 | { |
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| 652 | // Do nothing if current null or infinite |
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| 653 | if (mExtent != EXTENT_FINITE) |
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| 654 | return; |
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| 655 | |
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| 656 | // NB assumes centered on origin |
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| 657 | Vector3 min = mMinimum * s; |
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| 658 | Vector3 max = mMaximum * s; |
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| 659 | setExtents(min, max); |
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| 660 | } |
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| 661 | |
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| 662 | /** Tests whether this box intersects a sphere. */ |
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| 663 | bool intersects(const Sphere& s) const |
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| 664 | { |
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| 665 | return Math::intersects(s, *this); |
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| 666 | } |
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| 667 | /** Tests whether this box intersects a plane. */ |
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| 668 | bool intersects(const Plane& p) const |
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| 669 | { |
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| 670 | return Math::intersects(p, *this); |
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| 671 | } |
---|
| 672 | /** Tests whether the vector point is within this box. */ |
---|
| 673 | bool intersects(const Vector3& v) const |
---|
| 674 | { |
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| 675 | switch (mExtent) |
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| 676 | { |
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| 677 | case EXTENT_NULL: |
---|
| 678 | return false; |
---|
| 679 | |
---|
| 680 | case EXTENT_FINITE: |
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| 681 | return(v.x >= mMinimum.x && v.x <= mMaximum.x && |
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| 682 | v.y >= mMinimum.y && v.y <= mMaximum.y && |
---|
| 683 | v.z >= mMinimum.z && v.z <= mMaximum.z); |
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| 684 | |
---|
| 685 | case EXTENT_INFINITE: |
---|
| 686 | return true; |
---|
| 687 | |
---|
| 688 | default: // shut up compiler |
---|
| 689 | assert( false && "Never reached" ); |
---|
| 690 | return false; |
---|
| 691 | } |
---|
| 692 | } |
---|
| 693 | /// Gets the centre of the box |
---|
| 694 | Vector3 getCenter(void) const |
---|
| 695 | { |
---|
| 696 | assert( (mExtent == EXTENT_FINITE) && "Can't get center of a null or infinite AAB" ); |
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| 697 | |
---|
| 698 | return Vector3( |
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| 699 | (mMaximum.x + mMinimum.x) * 0.5f, |
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| 700 | (mMaximum.y + mMinimum.y) * 0.5f, |
---|
| 701 | (mMaximum.z + mMinimum.z) * 0.5f); |
---|
| 702 | } |
---|
| 703 | /// Gets the size of the box |
---|
| 704 | Vector3 getSize(void) const |
---|
| 705 | { |
---|
| 706 | switch (mExtent) |
---|
| 707 | { |
---|
| 708 | case EXTENT_NULL: |
---|
| 709 | return Vector3::ZERO; |
---|
| 710 | |
---|
| 711 | case EXTENT_FINITE: |
---|
| 712 | return mMaximum - mMinimum; |
---|
| 713 | |
---|
| 714 | case EXTENT_INFINITE: |
---|
| 715 | return Vector3( |
---|
| 716 | Math::POS_INFINITY, |
---|
| 717 | Math::POS_INFINITY, |
---|
| 718 | Math::POS_INFINITY); |
---|
| 719 | |
---|
| 720 | default: // shut up compiler |
---|
| 721 | assert( false && "Never reached" ); |
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| 722 | return Vector3::ZERO; |
---|
| 723 | } |
---|
| 724 | } |
---|
| 725 | /// Gets the half-size of the box |
---|
| 726 | Vector3 getHalfSize(void) const |
---|
| 727 | { |
---|
| 728 | switch (mExtent) |
---|
| 729 | { |
---|
| 730 | case EXTENT_NULL: |
---|
| 731 | return Vector3::ZERO; |
---|
| 732 | |
---|
| 733 | case EXTENT_FINITE: |
---|
| 734 | return (mMaximum - mMinimum) * 0.5; |
---|
| 735 | |
---|
| 736 | case EXTENT_INFINITE: |
---|
| 737 | return Vector3( |
---|
| 738 | Math::POS_INFINITY, |
---|
| 739 | Math::POS_INFINITY, |
---|
| 740 | Math::POS_INFINITY); |
---|
| 741 | |
---|
| 742 | default: // shut up compiler |
---|
| 743 | assert( false && "Never reached" ); |
---|
| 744 | return Vector3::ZERO; |
---|
| 745 | } |
---|
| 746 | } |
---|
| 747 | |
---|
| 748 | /** Tests whether the given point contained by this box. |
---|
| 749 | */ |
---|
| 750 | bool contains(const Vector3& v) const |
---|
| 751 | { |
---|
| 752 | if (isNull()) |
---|
| 753 | return false; |
---|
| 754 | if (isInfinite()) |
---|
| 755 | return true; |
---|
| 756 | |
---|
| 757 | return mMinimum.x <= v.x && v.x <= mMaximum.x && |
---|
| 758 | mMinimum.y <= v.y && v.y <= mMaximum.y && |
---|
| 759 | mMinimum.z <= v.z && v.z <= mMaximum.z; |
---|
| 760 | } |
---|
| 761 | |
---|
| 762 | /** Returns the squared minimum distance between a given point and any part of the box. |
---|
| 763 | * This is faster than distance since avoiding a squareroot, so use if you can. */ |
---|
| 764 | Real squaredDistance(const Vector3& v) const |
---|
| 765 | { |
---|
| 766 | |
---|
| 767 | if (this->contains(v)) |
---|
| 768 | return 0; |
---|
| 769 | else |
---|
| 770 | { |
---|
| 771 | Vector3 maxDist(0,0,0); |
---|
| 772 | |
---|
| 773 | if (v.x < mMinimum.x) |
---|
| 774 | maxDist.x = mMinimum.x - v.x; |
---|
| 775 | else if (v.x > mMaximum.x) |
---|
| 776 | maxDist.x = v.x - mMaximum.x; |
---|
| 777 | |
---|
| 778 | if (v.y < mMinimum.y) |
---|
| 779 | maxDist.y = mMinimum.y - v.y; |
---|
| 780 | else if (v.y > mMaximum.y) |
---|
| 781 | maxDist.y = v.y - mMaximum.y; |
---|
| 782 | |
---|
| 783 | if (v.z < mMinimum.z) |
---|
| 784 | maxDist.z = mMinimum.z - v.z; |
---|
| 785 | else if (v.z > mMaximum.z) |
---|
| 786 | maxDist.z = v.z - mMaximum.z; |
---|
| 787 | |
---|
| 788 | return maxDist.squaredLength(); |
---|
| 789 | } |
---|
| 790 | } |
---|
| 791 | |
---|
| 792 | /** Returns the minimum distance between a given point and any part of the box. */ |
---|
| 793 | Real distance (const Vector3& v) const |
---|
| 794 | { |
---|
| 795 | return Ogre::Math::Sqrt(squaredDistance(v)); |
---|
| 796 | } |
---|
| 797 | |
---|
| 798 | /** Tests whether another box contained by this box. |
---|
| 799 | */ |
---|
| 800 | bool contains(const AxisAlignedBox& other) const |
---|
| 801 | { |
---|
| 802 | if (other.isNull() || this->isInfinite()) |
---|
| 803 | return true; |
---|
| 804 | |
---|
| 805 | if (this->isNull() || other.isInfinite()) |
---|
| 806 | return false; |
---|
| 807 | |
---|
| 808 | return this->mMinimum.x <= other.mMinimum.x && |
---|
| 809 | this->mMinimum.y <= other.mMinimum.y && |
---|
| 810 | this->mMinimum.z <= other.mMinimum.z && |
---|
| 811 | other.mMaximum.x <= this->mMaximum.x && |
---|
| 812 | other.mMaximum.y <= this->mMaximum.y && |
---|
| 813 | other.mMaximum.z <= this->mMaximum.z; |
---|
| 814 | } |
---|
| 815 | |
---|
| 816 | /** Tests 2 boxes for equality. |
---|
| 817 | */ |
---|
| 818 | bool operator== (const AxisAlignedBox& rhs) const |
---|
| 819 | { |
---|
| 820 | if (this->mExtent != rhs.mExtent) |
---|
| 821 | return false; |
---|
| 822 | |
---|
| 823 | if (!this->isFinite()) |
---|
| 824 | return true; |
---|
| 825 | |
---|
| 826 | return this->mMinimum == rhs.mMinimum && |
---|
| 827 | this->mMaximum == rhs.mMaximum; |
---|
| 828 | } |
---|
| 829 | |
---|
| 830 | /** Tests 2 boxes for inequality. |
---|
| 831 | */ |
---|
| 832 | bool operator!= (const AxisAlignedBox& rhs) const |
---|
| 833 | { |
---|
| 834 | return !(*this == rhs); |
---|
| 835 | } |
---|
| 836 | |
---|
| 837 | // special values |
---|
| 838 | static const AxisAlignedBox BOX_NULL; |
---|
| 839 | static const AxisAlignedBox BOX_INFINITE; |
---|
| 840 | |
---|
| 841 | |
---|
| 842 | }; |
---|
| 843 | |
---|
| 844 | /** @} */ |
---|
| 845 | /** @} */ |
---|
| 846 | } // namespace Ogre |
---|
| 847 | |
---|
| 848 | #endif |
---|