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1// Copyright (C) 2002-2012 Nikolaus Gebhardt
2// This file is part of the "Irrlicht Engine".
3// For conditions of distribution and use, see copyright notice in irrlicht.h
4
5#ifndef __IRR_AABBOX_3D_H_INCLUDED__
6#define __IRR_AABBOX_3D_H_INCLUDED__
7
8#include "irrMath.h"
9#include "plane3d.h"
10#include "line3d.h"
11
12namespace irr
13{
14namespace core
15{
16
17//! Axis aligned bounding box in 3d dimensional space.
18/** Has some useful methods used with occlusion culling or clipping.
19*/
20template <class T>
21class aabbox3d
22{
23 public:
24
25 //! Default Constructor.
26 aabbox3d(): MinEdge(-1,-1,-1), MaxEdge(1,1,1) {}
27 //! Constructor with min edge and max edge.
28 aabbox3d(const vector3d<T>& min, const vector3d<T>& max): MinEdge(min), MaxEdge(max) {}
29 //! Constructor with only one point.
30 aabbox3d(const vector3d<T>& init): MinEdge(init), MaxEdge(init) {}
31 //! Constructor with min edge and max edge as single values, not vectors.
32 aabbox3d(T minx, T miny, T minz, T maxx, T maxy, T maxz): MinEdge(minx, miny, minz), MaxEdge(maxx, maxy, maxz) {}
33
34 // operators
35 //! Equality operator
36 /** \param other box to compare with.
37 \return True if both boxes are equal, else false. */
38 inline bool operator==(const aabbox3d<T>& other) const { return (MinEdge == other.MinEdge && other.MaxEdge == MaxEdge);}
39 //! Inequality operator
40 /** \param other box to compare with.
41 \return True if both boxes are different, else false. */
42 inline bool operator!=(const aabbox3d<T>& other) const { return !(MinEdge == other.MinEdge && other.MaxEdge == MaxEdge);}
43
44 // functions
45
46 //! Resets the bounding box to a one-point box.
47 /** \param x X coord of the point.
48 \param y Y coord of the point.
49 \param z Z coord of the point. */
50 void reset(T x, T y, T z)
51 {
52 MaxEdge.set(x,y,z);
53 MinEdge = MaxEdge;
54 }
55
56 //! Resets the bounding box.
57 /** \param initValue New box to set this one to. */
58 void reset(const aabbox3d<T>& initValue)
59 {
60 *this = initValue;
61 }
62
63 //! Resets the bounding box to a one-point box.
64 /** \param initValue New point. */
65 void reset(const vector3d<T>& initValue)
66 {
67 MaxEdge = initValue;
68 MinEdge = initValue;
69 }
70
71 //! Adds a point to the bounding box
72 /** The box grows bigger, if point was outside of the box.
73 \param p: Point to add into the box. */
74 void addInternalPoint(const vector3d<T>& p)
75 {
76 addInternalPoint(p.X, p.Y, p.Z);
77 }
78
79 //! Adds another bounding box
80 /** The box grows bigger, if the new box was outside of the box.
81 \param b: Other bounding box to add into this box. */
82 void addInternalBox(const aabbox3d<T>& b)
83 {
84 addInternalPoint(b.MaxEdge);
85 addInternalPoint(b.MinEdge);
86 }
87
88 //! Adds a point to the bounding box
89 /** The box grows bigger, if point is outside of the box.
90 \param x X coordinate of the point to add to this box.
91 \param y Y coordinate of the point to add to this box.
92 \param z Z coordinate of the point to add to this box. */
93 void addInternalPoint(T x, T y, T z)
94 {
95 if (x>MaxEdge.X) MaxEdge.X = x;
96 if (y>MaxEdge.Y) MaxEdge.Y = y;
97 if (z>MaxEdge.Z) MaxEdge.Z = z;
98
99 if (x<MinEdge.X) MinEdge.X = x;
100 if (y<MinEdge.Y) MinEdge.Y = y;
101 if (z<MinEdge.Z) MinEdge.Z = z;
102 }
103
104 //! Get center of the bounding box
105 /** \return Center of the bounding box. */
106 vector3d<T> getCenter() const
107 {
108 return (MinEdge + MaxEdge) / 2;
109 }
110
111 //! Get extent of the box (maximal distance of two points in the box)
112 /** \return Extent of the bounding box. */
113 vector3d<T> getExtent() const
114 {
115 return MaxEdge - MinEdge;
116 }
117
118 //! Check if the box is empty.
119 /** This means that there is no space between the min and max edge.
120 \return True if box is empty, else false. */
121 bool isEmpty() const
122 {
123 return MinEdge.equals ( MaxEdge );
124 }
125
126 //! Get the volume enclosed by the box in cubed units
127 T getVolume() const
128 {
129 const vector3d<T> e = getExtent();
130 return e.X * e.Y * e.Z;
131 }
132
133 //! Get the surface area of the box in squared units
134 T getArea() const
135 {
136 const vector3d<T> e = getExtent();
137 return 2*(e.X*e.Y + e.X*e.Z + e.Y*e.Z);
138 }
139
140 //! Stores all 8 edges of the box into an array
141 /** \param edges: Pointer to array of 8 edges. */
142 void getEdges(vector3d<T> *edges) const
143 {
144 const core::vector3d<T> middle = getCenter();
145 const core::vector3d<T> diag = middle - MaxEdge;
146
147 /*
148 Edges are stored in this way:
149 Hey, am I an ascii artist, or what? :) niko.
150 /3--------/7
151 / | / |
152 / | / |
153 1---------5 |
154 | /2- - -|- -6
155 | / | /
156 |/ | /
157 0---------4/
158 */
159
160 edges[0].set(middle.X + diag.X, middle.Y + diag.Y, middle.Z + diag.Z);
161 edges[1].set(middle.X + diag.X, middle.Y - diag.Y, middle.Z + diag.Z);
162 edges[2].set(middle.X + diag.X, middle.Y + diag.Y, middle.Z - diag.Z);
163 edges[3].set(middle.X + diag.X, middle.Y - diag.Y, middle.Z - diag.Z);
164 edges[4].set(middle.X - diag.X, middle.Y + diag.Y, middle.Z + diag.Z);
165 edges[5].set(middle.X - diag.X, middle.Y - diag.Y, middle.Z + diag.Z);
166 edges[6].set(middle.X - diag.X, middle.Y + diag.Y, middle.Z - diag.Z);
167 edges[7].set(middle.X - diag.X, middle.Y - diag.Y, middle.Z - diag.Z);
168 }
169
170 //! Repairs the box.
171 /** Necessary if for example MinEdge and MaxEdge are swapped. */
172 void repair()
173 {
174 T t;
175
176 if (MinEdge.X > MaxEdge.X)
177 { t=MinEdge.X; MinEdge.X = MaxEdge.X; MaxEdge.X=t; }
178 if (MinEdge.Y > MaxEdge.Y)
179 { t=MinEdge.Y; MinEdge.Y = MaxEdge.Y; MaxEdge.Y=t; }
180 if (MinEdge.Z > MaxEdge.Z)
181 { t=MinEdge.Z; MinEdge.Z = MaxEdge.Z; MaxEdge.Z=t; }
182 }
183
184 //! Calculates a new interpolated bounding box.
185 /** d=0 returns other, d=1 returns this, all other values blend between
186 the two boxes.
187 \param other Other box to interpolate between
188 \param d Value between 0.0f and 1.0f.
189 \return Interpolated box. */
190 aabbox3d<T> getInterpolated(const aabbox3d<T>& other, f32 d) const
191 {
192 f32 inv = 1.0f - d;
193 return aabbox3d<T>((other.MinEdge*inv) + (MinEdge*d),
194 (other.MaxEdge*inv) + (MaxEdge*d));
195 }
196
197 //! Determines if a point is within this box.
198 /** Border is included (IS part of the box)!
199 \param p: Point to check.
200 \return True if the point is within the box and false if not */
201 bool isPointInside(const vector3d<T>& p) const
202 {
203 return (p.X >= MinEdge.X && p.X <= MaxEdge.X &&
204 p.Y >= MinEdge.Y && p.Y <= MaxEdge.Y &&
205 p.Z >= MinEdge.Z && p.Z <= MaxEdge.Z);
206 }
207
208 //! Determines if a point is within this box and not its borders.
209 /** Border is excluded (NOT part of the box)!
210 \param p: Point to check.
211 \return True if the point is within the box and false if not. */
212 bool isPointTotalInside(const vector3d<T>& p) const
213 {
214 return (p.X > MinEdge.X && p.X < MaxEdge.X &&
215 p.Y > MinEdge.Y && p.Y < MaxEdge.Y &&
216 p.Z > MinEdge.Z && p.Z < MaxEdge.Z);
217 }
218
219 //! Check if this box is completely inside the 'other' box.
220 /** \param other: Other box to check against.
221 \return True if this box is completly inside the other box,
222 otherwise false. */
223 bool isFullInside(const aabbox3d<T>& other) const
224 {
225 return (MinEdge.X >= other.MinEdge.X && MinEdge.Y >= other.MinEdge.Y && MinEdge.Z >= other.MinEdge.Z &&
226 MaxEdge.X <= other.MaxEdge.X && MaxEdge.Y <= other.MaxEdge.Y && MaxEdge.Z <= other.MaxEdge.Z);
227 }
228
229 //! Determines if the axis-aligned box intersects with another axis-aligned box.
230 /** \param other: Other box to check a intersection with.
231 \return True if there is an intersection with the other box,
232 otherwise false. */
233 bool intersectsWithBox(const aabbox3d<T>& other) const
234 {
235 return (MinEdge.X <= other.MaxEdge.X && MinEdge.Y <= other.MaxEdge.Y && MinEdge.Z <= other.MaxEdge.Z &&
236 MaxEdge.X >= other.MinEdge.X && MaxEdge.Y >= other.MinEdge.Y && MaxEdge.Z >= other.MinEdge.Z);
237 }
238
239 //! Tests if the box intersects with a line
240 /** \param line: Line to test intersection with.
241 \return True if there is an intersection , else false. */
242 bool intersectsWithLine(const line3d<T>& line) const
243 {
244 return intersectsWithLine(line.getMiddle(), line.getVector().normalize(),
245 (T)(line.getLength() * 0.5));
246 }
247
248 //! Tests if the box intersects with a line
249 /** \param linemiddle Center of the line.
250 \param linevect Vector of the line.
251 \param halflength Half length of the line.
252 \return True if there is an intersection, else false. */
253 bool intersectsWithLine(const vector3d<T>& linemiddle,
254 const vector3d<T>& linevect, T halflength) const
255 {
256 const vector3d<T> e = getExtent() * (T)0.5;
257 const vector3d<T> t = getCenter() - linemiddle;
258
259 if ((fabs(t.X) > e.X + halflength * fabs(linevect.X)) ||
260 (fabs(t.Y) > e.Y + halflength * fabs(linevect.Y)) ||
261 (fabs(t.Z) > e.Z + halflength * fabs(linevect.Z)) )
262 return false;
263
264 T r = e.Y * (T)fabs(linevect.Z) + e.Z * (T)fabs(linevect.Y);
265 if (fabs(t.Y*linevect.Z - t.Z*linevect.Y) > r )
266 return false;
267
268 r = e.X * (T)fabs(linevect.Z) + e.Z * (T)fabs(linevect.X);
269 if (fabs(t.Z*linevect.X - t.X*linevect.Z) > r )
270 return false;
271
272 r = e.X * (T)fabs(linevect.Y) + e.Y * (T)fabs(linevect.X);
273 if (fabs(t.X*linevect.Y - t.Y*linevect.X) > r)
274 return false;
275
276 return true;
277 }
278
279 //! Classifies a relation with a plane.
280 /** \param plane Plane to classify relation to.
281 \return Returns ISREL3D_FRONT if the box is in front of the plane,
282 ISREL3D_BACK if the box is behind the plane, and
283 ISREL3D_CLIPPED if it is on both sides of the plane. */
284 EIntersectionRelation3D classifyPlaneRelation(const plane3d<T>& plane) const
285 {
286 vector3d<T> nearPoint(MaxEdge);
287 vector3d<T> farPoint(MinEdge);
288
289 if (plane.Normal.X > (T)0)
290 {
291 nearPoint.X = MinEdge.X;
292 farPoint.X = MaxEdge.X;
293 }
294
295 if (plane.Normal.Y > (T)0)
296 {
297 nearPoint.Y = MinEdge.Y;
298 farPoint.Y = MaxEdge.Y;
299 }
300
301 if (plane.Normal.Z > (T)0)
302 {
303 nearPoint.Z = MinEdge.Z;
304 farPoint.Z = MaxEdge.Z;
305 }
306
307 if (plane.Normal.dotProduct(nearPoint) + plane.D > (T)0)
308 return ISREL3D_FRONT;
309
310 if (plane.Normal.dotProduct(farPoint) + plane.D > (T)0)
311 return ISREL3D_CLIPPED;
312
313 return ISREL3D_BACK;
314 }
315
316 //! The near edge
317 vector3d<T> MinEdge;
318
319 //! The far edge
320 vector3d<T> MaxEdge;
321};
322
323 //! Typedef for a f32 3d bounding box.
324 typedef aabbox3d<f32> aabbox3df;
325 //! Typedef for an integer 3d bounding box.
326 typedef aabbox3d<s32> aabbox3di;
327
328} // end namespace core
329} // end namespace irr
330
331#endif
332