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00029 #ifndef WFMATH_AXIS_BOX_H
00030 #define WFMATH_AXIS_BOX_H
00031
00032 #include <wfmath/const.h>
00033 #include <wfmath/vector.h>
00034 #include <wfmath/point.h>
00035 #include <wfmath/intersect_decls.h>
00036
00037 namespace WFMath {
00038
00039 template<const int dim> class AxisBox;
00040 template<const int dim> class Ball;
00041
00042 template<const int dim>
00043 bool Intersection(const AxisBox<dim>& a1, const AxisBox<dim>& a2, AxisBox<dim>& out);
00044 template<const int dim>
00045 AxisBox<dim> Union(const AxisBox<dim>& a1, const AxisBox<dim>& a2);
00046
00047 template<const int dim>
00048 std::ostream& operator<<(std::ostream& os, const AxisBox<dim>& m);
00049 template<const int dim>
00050 std::istream& operator>>(std::istream& is, AxisBox<dim>& m);
00051
00052 #ifndef WFMATH_NO_TEMPLATES_AS_TEMPLATE_PARAMETERS
00053
00054 template<const int dim, template<class> class container>
00055 AxisBox<dim> BoundingBox(const container<AxisBox<dim> >& c);
00056
00058 template<const int dim, template<class> class container>
00059 AxisBox<dim> BoundingBox(const container<Point<dim> >& c);
00060 #endif
00061
00063
00067 template<const int dim>
00068 class AxisBox
00069 {
00070 public:
00072 AxisBox() {}
00074 AxisBox(const Point<dim>& p1, const Point<dim>& p2, bool ordered = false)
00075 {setCorners(p1, p2, ordered);}
00077 AxisBox(const AxisBox& a) : m_low(a.m_low), m_high(a.m_high) {}
00079 explicit AxisBox(const AtlasInType& a) {fromAtlas(a);}
00080
00081 friend std::ostream& operator<< <dim>(std::ostream& os, const AxisBox& a);
00082 friend std::istream& operator>> <dim>(std::istream& is, AxisBox& a);
00083
00085 AtlasOutType toAtlas() const;
00087 void fromAtlas(const AtlasInType& a);
00088
00089 AxisBox& operator=(const AxisBox& a)
00090 {m_low = a.m_low; m_high = a.m_high; return *this;}
00091
00092 bool isEqualTo(const AxisBox& b, double epsilon = WFMATH_EPSILON) const;
00093 bool operator==(const AxisBox& a) const {return isEqualTo(a);}
00094 bool operator!=(const AxisBox& a) const {return !isEqualTo(a);}
00095
00096 bool isValid() const {return m_low.isValid() && m_high.isValid();}
00097
00098
00099
00100 int numCorners() const {return 1 << dim;}
00101 Point<dim> getCorner(int i) const;
00102 Point<dim> getCenter() const {return Midpoint(m_low, m_high);}
00103
00105 const Point<dim>& lowCorner() const {return m_low;}
00107 const Point<dim>& highCorner() const {return m_high;}
00108
00110 CoordType lowerBound(const int axis) const {return m_low[axis];}
00112 CoordType upperBound(const int axis) const {return m_high[axis];}
00113
00115
00120 AxisBox& setCorners(const Point<dim>& p1, const Point<dim>& p2,
00121 bool ordered = false);
00122
00123
00124
00125 AxisBox& shift(const Vector<dim>& v)
00126 {m_low += v; m_high += v; return *this;}
00127 AxisBox& moveCornerTo(const Point<dim>& p, int corner)
00128 {return shift(p - getCorner(corner));}
00129 AxisBox& moveCenterTo(const Point<dim>& p)
00130 {return shift(p - getCenter());}
00131
00132
00133
00134
00135
00136 AxisBox boundingBox() const {return *this;}
00137 Ball<dim> boundingSphere() const;
00138 Ball<dim> boundingSphereSloppy() const;
00139
00140 AxisBox toParentCoords(const Point<dim>& origin) const
00141 {return AxisBox(m_low.toParentCoords(origin), m_high.toParentCoords(origin), true);}
00142 AxisBox toParentCoords(const AxisBox<dim>& coords) const
00143 {return AxisBox(m_low.toParentCoords(coords), m_high.toParentCoords(coords), true);}
00144
00145
00146
00147
00148
00149 AxisBox toLocalCoords(const Point<dim>& origin) const
00150 {return AxisBox(m_low.toLocalCoords(origin), m_high.toLocalCoords(origin), true);}
00151 AxisBox toLocalCoords(const AxisBox<dim>& coords) const
00152 {return AxisBox(m_low.toLocalCoords(coords), m_high.toLocalCoords(coords), true);}
00153
00155 friend bool Intersection<dim>(const AxisBox& a1, const AxisBox& a2, AxisBox& out);
00157 friend AxisBox Union<dim>(const AxisBox& a1, const AxisBox& a2);
00158
00159 friend bool Intersect<dim>(const AxisBox& b, const Point<dim>& p, bool proper);
00160 friend bool Contains<dim>(const Point<dim>& p, const AxisBox& b, bool proper);
00161
00162 friend bool Intersect<dim>(const AxisBox& b1, const AxisBox& b2, bool proper);
00163 friend bool Contains<dim>(const AxisBox& outer, const AxisBox& inner, bool proper);
00164
00165 friend bool Intersect<dim>(const Ball<dim>& b, const AxisBox& a, bool proper);
00166 friend bool Contains<dim>(const Ball<dim>& b, const AxisBox& a, bool proper);
00167 friend bool Contains<dim>(const AxisBox& a, const Ball<dim>& b, bool proper);
00168
00169 friend bool Intersect<dim>(const Segment<dim>& s, const AxisBox& b, bool proper);
00170 friend bool Contains<dim>(const Segment<dim>& s, const AxisBox& b, bool proper);
00171
00172 friend bool Intersect<dim>(const RotBox<dim>& r, const AxisBox& b, bool proper);
00173 friend bool Contains<dim>(const RotBox<dim>& r, const AxisBox& b, bool proper);
00174 friend bool Contains<dim>(const AxisBox& b, const RotBox<dim>& r, bool proper);
00175
00176 friend bool Intersect<dim>(const Polygon<dim>& p, const AxisBox& b, bool proper);
00177 friend bool Contains<dim>(const Polygon<dim>& p, const AxisBox& b, bool proper);
00178 friend bool Contains<dim>(const AxisBox& b, const Polygon<dim>& p, bool proper);
00179
00180 private:
00181
00182 Point<dim> m_low, m_high;
00183 };
00184
00185 }
00186
00187 #include <wfmath/axisbox_funcs.h>
00188
00189 #endif // WFMATH_AXIS_BOX_H