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#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>
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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