1 | #ifndef __Plane3_H__
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2 | #define __Plane3_H__
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3 |
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4 | #include "Vector3.h"
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5 |
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6 |
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7 | namespace CHCDemoEngine
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8 | {
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9 |
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10 | /** Class describing a plane in 3D space.
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11 | */
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12 | class Plane3
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13 | {
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14 | public:
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15 |
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16 | Plane3() {}
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17 |
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18 | Plane3(const Vector3 &a, const Vector3 &b, const Vector3 &c);
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19 | /** Note: we assume that the normal vector is already normalized.
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20 | */
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21 | Plane3(const Vector3 &normal, const Vector3 &point);
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22 |
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23 | inline void ReverseOrientation()
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24 | {
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25 | mNormal *= -1;
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26 | mD *= -1;
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27 | }
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28 | /** Get distance to a point.
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29 | */
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30 | inline float Distance(const Vector3 &v) const
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31 | {
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32 | return DotProd(v, mNormal) + mD;
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33 | }
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34 |
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35 | enum {BACK_SIDE = -1, INTERSECTS = 0, FRONT_SIDE = 1};
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36 | /** Returns 1 if v is on front side, -1 if on back side, 0 if on plane.
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37 | */
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38 | int Side(const Vector3 &v, float threshold = 1e-6) const;
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39 | /** Finds intersection of line segment between points a and b with plane.
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40 | @param a start point
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41 | @param b end point
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42 | @param t if not NULL, returns parameter value of intersections
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43 | @param coplanar if not NULL, returns true if plane and line segments are coplanar.
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44 | */
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45 | Vector3 FindIntersection(const Vector3 &a,
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46 | const Vector3 &b,
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47 | float *t = NULL,
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48 | bool *coplanar = NULL) const;
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49 |
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50 | /** Finds value of intersection parameter t on line segment from a to b.
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51 | @returns 0 if coplanar, else parameter t
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52 | */
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53 | float FindT(const Vector3 &a, const Vector3 &b) const;
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54 |
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55 | operator const float*() const
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56 | {
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57 | return (const float*) this;
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58 | }
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59 |
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60 | float& operator[] (const int inx)
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61 | {
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62 | return (&mNormal.x)[inx];
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63 | }
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64 |
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65 | const float &operator[] (const int inx) const
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66 | {
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67 | return *(&mNormal.x + inx);
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68 | }
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69 | /** Transforms the plane with the matrix m.
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70 | */
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71 | void Transform(const Matrix4x4 &m);
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72 |
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73 |
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74 | ///////////
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75 | //-- friends
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76 |
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77 | friend bool PlaneIntersection(const Plane3 &a, const Plane3 &b, const Plane3 &c, Vector3 &result);
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78 |
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79 | friend bool PlaneIntersection(const Plane3 &p1, const Plane3 &p2);
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80 |
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81 |
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82 | friend std::ostream &operator<<(std::ostream &s, const Plane3 &p)
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83 | {
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84 | s << p.mNormal << " " << p.mD;
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85 | return s;
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86 | }
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87 |
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88 |
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89 | //protected:
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90 |
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91 | ///////////////
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92 |
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93 | Vector3 mNormal;
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94 | float mD;
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95 | };
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96 |
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97 |
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98 | }
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99 | #endif
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