Library of Assembled Shared Sources
plane_3d_combined.h
Go to the documentation of this file.
1/** @file
2 * @author Bram de Greve (bram@cocamware.com)
3 * @author Tom De Muer (tom@cocamware.com)
4 *
5 * *** BEGIN LICENSE INFORMATION ***
6 *
7 * The contents of this file are subject to the Common Public Attribution License
8 * Version 1.0 (the "License"); you may not use this file except in compliance with
9 * the License. You may obtain a copy of the License at
10 * http://lass.sourceforge.net/cpal-license. The License is based on the
11 * Mozilla Public License Version 1.1 but Sections 14 and 15 have been added to cover
12 * use of software over a computer network and provide for limited attribution for
13 * the Original Developer. In addition, Exhibit A has been modified to be consistent
14 * with Exhibit B.
15 *
16 * Software distributed under the License is distributed on an "AS IS" basis, WITHOUT
17 * WARRANTY OF ANY KIND, either express or implied. See the License for the specific
18 * language governing rights and limitations under the License.
19 *
20 * The Original Code is LASS - Library of Assembled Shared Sources.
21 *
22 * The Initial Developer of the Original Code is Bram de Greve and Tom De Muer.
23 * The Original Developer is the Initial Developer.
24 *
25 * All portions of the code written by the Initial Developer are:
26 * Copyright (C) 2004-2011 the Initial Developer.
27 * All Rights Reserved.
28 *
29 * Contributor(s):
30 *
31 * Alternatively, the contents of this file may be used under the terms of the
32 * GNU General Public License Version 2 or later (the GPL), in which case the
33 * provisions of GPL are applicable instead of those above. If you wish to allow use
34 * of your version of this file only under the terms of the GPL and not to allow
35 * others to use your version of this file under the CPAL, indicate your decision by
36 * deleting the provisions above and replace them with the notice and other
37 * provisions required by the GPL License. If you do not delete the provisions above,
38 * a recipient may use your version of this file under either the CPAL or the GPL.
39 *
40 * *** END LICENSE INFORMATION ***
41 */
42
43
44
45
46/** @class lass::prim::impl::Plane3DCombined
47 * @brief implementation of plane 3d with both cartesian and parametric equation,
48 * and plus extra reciprocal vectors and board.
49 * @author Bram de Greve [BdG]
50 */
51
52
53
54#ifndef LASS_GUARDIAN_OF_INCLUSION_PRIM_IMPL_PLANE_3D_COMBINED_H
55#define LASS_GUARDIAN_OF_INCLUSION_PRIM_IMPL_PLANE_3D_COMBINED_H
56
57#include "../prim_common.h"
58
59namespace lass
60{
61namespace prim
62{
63namespace impl
64{
65
66template <typename T, class NormalizingPolicy = Normalized>
68{
69public:
70
71 typedef NormalizingPolicy TNormalizingPolicy;
72
73 typedef Point3D<T> TPoint;
74 typedef typename TPoint::TVector TVector;
75 typedef Point2D<T> TUV;
76
77 typedef typename TPoint::TValue TValue;
78 typedef typename TPoint::TParam TParam;
79 typedef typename TPoint::TReference TReference;
80 typedef typename TPoint::TConstReference TConstReference;
81 typedef typename TPoint::TNumTraits TNumTraits;
82
83 enum { dimension = TPoint::dimension }; /**< number of dimensions of vector */
84
86 Plane3DCombined(const TPoint& iSupport, const TPoint& iPointU, const TPoint& iPointV);
87 Plane3DCombined(const TPoint& iSupport, const TVector& iDirectionU, const TVector& iDirectionV);
88 Plane3DCombined(const TVector& iNormal, const TPoint& iSupport);
89 Plane3DCombined(const TVector& iNormal, TParam iD);
90
91 const TPoint& support() const;
92 void getDirections(TVector& oDirectionU, TVector& oDirectionV) const;
93 const TVector& directionU() const;
94 const TVector& directionV() const;
95
96 void getReciprocals(TVector& oReciprocalU, TVector& oReciprocalV) const;
97 const TVector& reciprocalU() const;
98 const TVector& reciprocalV() const;
99
100 void getCartesian(TVector& oNormal, TReference oD) const;
101 const TVector& normal() const;
102 const TParam d() const;
103
104 const TValue equation(const TPoint& iPoint) const;
105 const TValue equation(const TPoint& iPoint, TParam iRelativeTolerance) const;
106
107 const TVector reject(const TPoint& iPoint) const;
108 const TVector reject(const TVector& iVector) const;
109 const TPoint project(const TPoint& iPoint) const;
110 const TVector project(const TVector& iVector) const;
111 const TPoint reflect(const TPoint& iPoint) const;
112 const TVector reflect(const TVector& iVector) const;
113
114 const TPoint point(TParam iU, TParam iV) const;
115 const TPoint point(const TUV& iUV) const;
116 const TUV uv(const TPoint& iPoint) const;
117
118 void flip();
119 bool isValid() const;
120
121private:
122
123 TPoint support_;
124 TVector directionU_;
125 TVector directionV_;
126 TVector reciprocalU_;
127 TVector reciprocalV_;
128 TVector normal_;
129 TValue d_;
130};
131
132
133
134}
135
136}
137
138}
139
140#include "plane_3d_combined.inl"
141
142#endif
143
144// EOF
void getDirections(TVector &oDirectionU, TVector &oDirectionV) const
return U and V direction vectors
const TVector reject(const TVector &iVector) const
return the part of iVector that is orthogonal to the plane.
const TPoint point(TParam iU, TParam iV) const
return point by filling in the parametric equation: P(u, v) = S + u * U + v * V
const TVector reject(const TPoint &iPoint) const
return the vector that, if added to the PROJECTION of iPoint, you get iPoint again.
const TVector & directionV() const
return V direction vector.
const TVector project(const TVector &iVector) const
project a vector orthogonally onto the plane
const TVector & directionU() const
return U direction vector.
const TVector reflect(const TVector &iVector) const
reflect a vector orthogonally into the plane
const TValue equation(const TPoint &iPoint) const
Return value of point in equation.
const TPoint project(const TPoint &iPoint) const
project a point orthogonally onto the plane
const TVector & reciprocalU() const
return reciprocal for U direction vector.
Plane3DCombined(const TVector &iNormal, const TPoint &iSupport)
Construct a plane through a support point and by a normal vector.
const TPoint point(const TUV &iUV) const
return point by filling in the parametric equation: P(u, v) = S + u * U + v * V
void getReciprocals(TVector &oReciprocalU, TVector &oReciprocalV) const
return reciprocal vectors for U and V direction vectors
Plane3DCombined(const TPoint &iSupport, const TPoint &iPointU, const TPoint &iPointV)
Construct a plane through three points.
Plane3DCombined()
initializes to an invalid state.
const TPoint & support() const
return support point.
Plane3DCombined(const TPoint &iSupport, const TVector &iDirectionU, const TVector &iDirectionV)
construct a plane through a support point and by two direction vectors.
bool isValid() const
return true if plane is a valid plane (no normal or direction vectors that are zero).
const TUV uv(const TPoint &iPoint) const
return UV pair of parameters
Plane3DCombined(const TVector &iNormal, TParam iD)
Construct a plane by a cartesian equation N.P + d == 0.
const TPoint reflect(const TPoint &iPoint) const
reflect a point orthogonally into the plane.
const TValue equation(const TPoint &iPoint, TParam iRelativeTolerance) const
Return value of point in equation.
const TVector & reciprocalV() const
return reciprocal for V direction vector.
implementation details of lass::prim
set of geometrical primitives
Definition aabb_2d.h:81
Library for Assembled Shared Sources.
Definition config.h:53