lass::prim::impl::Line2DCombined< T, NormalizingPolicy > Class Template Reference
implementation of 2d line with both cartesian and parametric equation. More...
#include <line_2d_combined.h>
Public Types | |
| enum | { dimension = TPoint::dimension } |
| typedef NormalizingPolicy | TNormalizingPolicy |
| typedef Point2D< T > | TPoint |
| typedef TPoint::TVector | TVector |
| typedef TPoint::TValue | TValue |
| typedef TPoint::TParam | TParam |
| typedef TPoint::TReference | TReference |
| typedef TPoint::TConstReference | TConstReference |
| typedef TPoint::TNumTraits | TNumTraits |
Public Member Functions | |
| Line2DCombined () | |
| initializes to an invalid state. | |
| Line2DCombined (const TPoint &iSupport, const TPoint &iPoint) | |
| Construct a line through three points. | |
| Line2DCombined (const TPoint &iSupport, const TVector &iDir) | |
| construct a line through a support point and by two direction vectors. | |
| Line2DCombined (const TVector &iNormal, const TPoint &iSupport) | |
| Construct a line through a support point and by a normal vector. | |
| Line2DCombined (const TVector &iNormal, TParam iD) | |
| Construct a line by a cartesian equation N.P + d == 0. | |
| const TPoint & | support () const |
| return support point. | |
| const TVector & | direction () const |
| return direction vector. | |
| void | getCartesian (TVector &oNormal, TReference oD) const |
| const TVector & | normal () const |
| const TParam | d () const |
| const TValue | equation (const TPoint &iPoint) const |
| Return value of point in equation. | |
| const TValue | equation (const TPoint &iPoint, TParam iRelativeTolerance) const |
| Return value of point in equation. | |
| const TVector | reject (const TPoint &iPoint) const |
| return the vector that, if added to the PROJECTION of iPoint, you get iPoint again. | |
| const TVector | reject (const TVector &iVector) const |
| return the part of iVector that is orthogonal to the line. | |
| const TPoint | project (const TPoint &iPoint) const |
| project a point orthogonally onto the line | |
| const TVector | project (const TVector &iVector) const |
| project a vector orthogonally onto the line | |
| const TPoint | reflect (const TPoint &iPoint) const |
| reflect a point orthogonally into the line. | |
| const TVector | reflect (const TVector &iVector) const |
| reflect a vector orthogonally into the line | |
| const TPoint | point (TParam iT) const |
| return point by filling in the parametric equation: P(t) = S + t * U | |
| const TValue | t (const TPoint &iPoint) const |
| return UV pair of parameters | |
| void | flip () |
| const bool | isValid () const |
| return true if line is a valid line (no normal or direction vectors that are zero). | |
Private Attributes | |
| TPoint | support_ |
| TVector | direction_ |
| TVector | normal_ |
| TValue | d_ |
Detailed Description
template<typename T, class NormalizingPolicy = Normalized>
class lass::prim::impl::Line2DCombined< T, NormalizingPolicy >
implementation of 2d line with both cartesian and parametric equation.
Definition at line 65 of file line_2d_combined.h.
Member Typedef Documentation
| typedef NormalizingPolicy lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::TNormalizingPolicy |
Definition at line 69 of file line_2d_combined.h.
| typedef Point2D<T> lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::TPoint |
Definition at line 71 of file line_2d_combined.h.
| typedef TPoint::TVector lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::TVector |
Definition at line 72 of file line_2d_combined.h.
| typedef TPoint::TValue lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::TValue |
Definition at line 74 of file line_2d_combined.h.
| typedef TPoint::TParam lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::TParam |
Definition at line 75 of file line_2d_combined.h.
| typedef TPoint::TReference lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::TReference |
Definition at line 76 of file line_2d_combined.h.
| typedef TPoint::TConstReference lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::TConstReference |
Definition at line 77 of file line_2d_combined.h.
| typedef TPoint::TNumTraits lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::TNumTraits |
Definition at line 78 of file line_2d_combined.h.
Member Enumeration Documentation
| anonymous enum |
Constructor & Destructor Documentation
| lass::prim::impl::Line2DCombined< T, NP >::Line2DCombined | ( | ) | [inline] |
initializes to an invalid state.
Definition at line 63 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::isValid(), and LASS_ASSERT.
| lass::prim::impl::Line2DCombined< T, NP >::Line2DCombined | ( | const TPoint & | iSupport, | |
| const TPoint & | iPoint | |||
| ) | [inline] |
Construct a line through three points.
- support point S is given by the first point iSupport.
- direction vector U is choosen from iSupport to iPointU and iPointV respectively (U = iPoint - iSupport).
- normal vector N is given by the perp of U.
- value d is choosen so that the support point is indeed a point of the line.
Definition at line 82 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::d_, lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::direction_, lass::prim::dot(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::normal_, lass::prim::Vector2D< T >::perp(), and lass::prim::Point2D< T >::position().
| lass::prim::impl::Line2DCombined< T, NP >::Line2DCombined | ( | const TPoint & | iSupport, | |
| const TVector & | iDirection | |||
| ) | [inline] |
construct a line through a support point and by two direction vectors.
- support point S is given by the point iSupport.
- direction vector U is given by iDirection.
- normal vector N is given by the perp of N.
- value d is choosen so that the support point is indeed a point of the line.
Definition at line 100 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::d_, lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::direction_, lass::prim::dot(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::normal_, lass::prim::Vector2D< T >::perp(), and lass::prim::Point2D< T >::position().
| lass::prim::impl::Line2DCombined< T, NP >::Line2DCombined | ( | const TVector & | iNormal, | |
| const TPoint & | iSupport | |||
| ) | [inline] |
Construct a line through a support point and by a normal vector.
- support point S is given by the point iSupport.
- normal vector N is given by the vector iNormal.
- direction vector U is automatically generated so that N is perp of U.
- value d is choosen so that the support point is indeed a point of the line.
Definition at line 118 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::d_, lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::direction_, lass::prim::dot(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::normal_, lass::prim::Vector2D< T >::perp(), and lass::prim::Point2D< T >::position().
| lass::prim::impl::Line2DCombined< T, NP >::Line2DCombined | ( | const TVector & | iNormal, | |
| TParam | iD | |||
| ) | [inline] |
Construct a line by a cartesian equation N.P + d == 0.
- normal vector N is given by the vector iNormal.
- value d is given by the value iD.
- support point S automatically generated so that N.S + d == 0.
- direction vector U is automatically generated so that N is perp of U.
Definition at line 136 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::d_, lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::direction_, lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::normal_, and lass::prim::Vector2D< T >::perp().
Member Function Documentation
| const Line2DCombined< T, NP >::TPoint & lass::prim::impl::Line2DCombined< T, NP >::support | ( | ) | const [inline] |
return support point.
Definition at line 150 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::support_.
| const Line2DCombined< T, NP >::TVector & lass::prim::impl::Line2DCombined< T, NP >::direction | ( | ) | const [inline] |
return direction vector.
Definition at line 160 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::direction_.
| void lass::prim::impl::Line2DCombined< T, NP >::getCartesian | ( | TVector & | oNormal, | |
| TReference | oD | |||
| ) | const [inline] |
Definition at line 168 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::d_, and lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::normal_.
| const Line2DCombined< T, NP >::TVector & lass::prim::impl::Line2DCombined< T, NP >::normal | ( | ) | const [inline] |
Definition at line 177 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::normal_.
| const Line2DCombined< T, NP >::TParam lass::prim::impl::Line2DCombined< T, NP >::d | ( | ) | const [inline] |
Definition at line 185 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::d_.
Referenced by lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::equation().
| const Line2DCombined< T, NP >::TValue lass::prim::impl::Line2DCombined< T, NP >::equation | ( | const TPoint & | iPoint | ) | const [inline] |
Return value of point in equation.
Definition at line 196 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::d_, lass::prim::dot(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::normal_, and lass::prim::Point2D< T >::position().
Referenced by lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::reject().
| const Line2DCombined< T, NP >::TValue lass::prim::impl::Line2DCombined< T, NP >::equation | ( | const TPoint & | iPoint, | |
| TParam | iRelativeTolerance | |||
| ) | const [inline] |
Return value of point in equation.
Definition at line 207 of file line_2d_combined.inl.
References lass::num::almostEqual(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::d(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::d_, lass::prim::dot(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::normal_, lass::prim::Point2D< T >::position(), and lass::num::NumTraits< C >::zero.
| const Line2DCombined< T, NP >::TVector lass::prim::impl::Line2DCombined< T, NP >::reject | ( | const TPoint & | iPoint | ) | const [inline] |
return the vector that, if added to the PROJECTION of iPoint, you get iPoint again.
iPoint == (almost) project(iPoint) + reject(iPoint)
Definition at line 220 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::equation(), and lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::normal_.
Referenced by lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::project(), and lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::reflect().
| const Line2DCombined< T, NP >::TVector lass::prim::impl::Line2DCombined< T, NP >::reject | ( | const TVector & | iVector | ) | const [inline] |
return the part of iVector that is orthogonal to the line.
it's the vector that, if added to the PROJECTION of iVector, you get iVector again. iVector == (almost) project(iVector) + reject(iVector).
Definition at line 233 of file line_2d_combined.inl.
References lass::prim::dot(), and lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::normal_.
| const Line2DCombined< T, NP >::TPoint lass::prim::impl::Line2DCombined< T, NP >::project | ( | const TPoint & | iPoint | ) | const [inline] |
project a point orthogonally onto the line
Definition at line 244 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::reject().
| const Line2DCombined< T, NP >::TVector lass::prim::impl::Line2DCombined< T, NP >::project | ( | const TVector & | iVector | ) | const [inline] |
project a vector orthogonally onto the line
Definition at line 255 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::reject().
| const Line2DCombined< T, NP >::TPoint lass::prim::impl::Line2DCombined< T, NP >::reflect | ( | const TPoint & | iPoint | ) | const [inline] |
reflect a point orthogonally into the line.
Definition at line 266 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::support_.
| const Line2DCombined< T, NP >::TVector lass::prim::impl::Line2DCombined< T, NP >::reflect | ( | const TVector & | iVector | ) | const [inline] |
reflect a vector orthogonally into the line
Definition at line 277 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::reject(), and lass::stde::T.
| const Line2DCombined< T, NP >::TPoint lass::prim::impl::Line2DCombined< T, NP >::point | ( | TParam | iT | ) | const [inline] |
return point by filling in the parametric equation: P(t) = S + t * U
Definition at line 288 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::direction_, and lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::support_.
| const Line2DCombined< T, NP >::TValue lass::prim::impl::Line2DCombined< T, NP >::t | ( | const TPoint & | iPoint | ) | const [inline] |
return UV pair of parameters
Definition at line 299 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::direction_, lass::prim::dot(), and lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::support_.
| void lass::prim::impl::Line2DCombined< T, NP >::flip | ( | ) | [inline] |
| const bool lass::prim::impl::Line2DCombined< T, NP >::isValid | ( | ) | const [inline] |
return true if line is a valid line (no normal or direction vectors that are zero).
Definition at line 319 of file line_2d_combined.inl.
References lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::direction_, lass::prim::Vector2D< T >::isZero(), and lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::normal_.
Referenced by lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::Line2DCombined().
Field Documentation
TPoint lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::support_ [private] |
Definition at line 113 of file line_2d_combined.h.
Referenced by lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::point(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::reflect(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::support(), and lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::t().
TVector lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::direction_ [private] |
Definition at line 114 of file line_2d_combined.h.
Referenced by lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::direction(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::flip(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::isValid(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::Line2DCombined(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::point(), and lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::t().
TVector lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::normal_ [private] |
Definition at line 115 of file line_2d_combined.h.
Referenced by lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::equation(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::flip(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::getCartesian(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::isValid(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::Line2DCombined(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::normal(), and lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::reject().
TValue lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::d_ [private] |
Definition at line 116 of file line_2d_combined.h.
Referenced by lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::d(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::equation(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::flip(), lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::getCartesian(), and lass::prim::impl::Line2DCombined< T, NormalizingPolicy >::Line2DCombined().
The documentation for this class was generated from the following files:
