Library of Assembled Shared Sources
line_2d_parametric.h
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1/** @file
2 * @author Bram de Greve (bram@cocamware.com)
3 * @author Tom De Muer (tom@cocamware.com)
4 *
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7 * The contents of this file are subject to the Common Public Attribution License
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22 * The Initial Developer of the Original Code is Bram de Greve and Tom De Muer.
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41 */
42
43
44
45/** @class lass::prim::impl::Line2DParametric
46 * @brief implementation of 2d line with parametric equation.
47 * @author Bram de Greve [BdG]
48 */
49
50
51
52#ifndef LASS_GUARDIAN_OF_INCLUSION_PRIM_IMPL_LINE_2D_PARAMETRIC_H
53#define LASS_GUARDIAN_OF_INCLUSION_PRIM_IMPL_LINE_2D_PARAMETRIC_H
54
55#include "../prim_common.h"
56
57namespace lass
58{
59namespace prim
60{
61namespace impl
62{
63
64template <typename T, class NormalizingPolicy = Normalized>
66{
67public:
68
69 typedef NormalizingPolicy TNormalizingPolicy;
70
71 typedef Point2D<T> TPoint;
72 typedef typename TPoint::TVector TVector;
73
74 typedef typename TPoint::TValue TValue;
75 typedef typename TPoint::TParam TParam;
76 typedef typename TPoint::TReference TReference;
77 typedef typename TPoint::TConstReference TConstReference;
78 typedef typename TPoint::TNumTraits TNumTraits;
79
80 enum { dimension = TPoint::dimension }; /**< number of dimensions of vector */
81
83 Line2DParametric(const TPoint& iSupport, const TPoint& iPoint);
84 Line2DParametric(const TPoint& iSupport, const TVector& iDir);
85 Line2DParametric(const TVector& iNormal, const TPoint& iSupport);
86 Line2DParametric(const TVector& iNormal, TParam iD);
87
88 const TPoint& support() const;
89 const TVector& direction() const;
90
91 void getCartesian(TVector& oNormal, TReference oD) const;
92 const TVector normal() const;
93 const TValue d() const;
94
95 const TValue equation(const TPoint& iPoint) const;
96 const TValue equation(const TPoint& iPoint, TParam iRelativeTolerance) const;
97
98 const TVector reject(const TPoint& iPoint) const;
99 const TVector reject(const TVector& iVector) const;
100 const TPoint project(const TPoint& iPoint) const;
101 const TVector project(const TVector& iVector) const;
102 const TPoint reflect(const TPoint& iPoint) const;
103 const TVector reflect(const TVector& iVector) const;
104
105 const TPoint point(TParam iT) const;
106 const TValue t(const TPoint& iPoint) const;
107
108 void flip();
109 bool isValid() const;
110
111private:
112
113 TPoint support_;
114 TVector direction_;
115};
116
117
118
119}
120
121}
122
123}
124
125#include "line_2d_parametric.inl"
126
127#endif
128
129// EOF
const TVector reject(const TPoint &iPoint) const
return the vector that, if added to the PROJECTION of iPoint, you get iPoint again.
const TValue equation(const TPoint &iPoint) const
Return value of point in equation.
const TVector reject(const TVector &iVector) const
return the part of iVector that is orthogonal to the line.
Line2DParametric(const TPoint &iSupport, const TVector &iDir)
construct a line through a support point and by two direction vectors.
const TValue t(const TPoint &iPoint) const
return UV pair of parameters
const TPoint & support() const
return support point.
const TValue equation(const TPoint &iPoint, TParam iRelativeTolerance) const
Return value of point in equation.
const TVector project(const TVector &iVector) const
project a vector orthogonally onto the line
Line2DParametric(const TPoint &iSupport, const TPoint &iPoint)
Construct a line through three points.
const TPoint project(const TPoint &iPoint) const
project a point orthogonally onto the line
Line2DParametric()
initializes to an invalid state.
Line2DParametric(const TVector &iNormal, TParam iD)
Construct a line by a cartesian equation N.P + d == 0.
const TVector & direction() const
return direction vector.
const TPoint point(TParam iT) const
return point by filling in the parametric equation: P(t) = S + t * U
bool isValid() const
return true if line is a valid line (no normal or direction vectors that are zero).
const TPoint reflect(const TPoint &iPoint) const
reflect a point orthogonally into the line.
Line2DParametric(const TVector &iNormal, const TPoint &iSupport)
Construct a line through a support point and by a normal vector.
const TVector reflect(const TVector &iVector) const
reflect a vector orthogonally to the line
implementation details of lass::prim
set of geometrical primitives
Definition aabb_2d.h:81
Library for Assembled Shared Sources.
Definition config.h:53