implementation of 2d line with both cartesian and parametric equation. More...
#include <line_2d_cartesian.h>
Public Member Functions | |
| Line2DCartesian () | |
| initializes to an invalid state. | |
| Line2DCartesian (const TPoint &iSupport, const TPoint &iPoint) | |
| Construct a line through three points. | |
| Line2DCartesian (const TPoint &iSupport, const TVector &iDirection) | |
| construct a line through a support point and by two direction vectors. | |
| Line2DCartesian (const TVector &iNormal, const TPoint &iSupport) | |
| Construct a line through a support point and by a normal vector. | |
| Line2DCartesian (const TVector &iNormal, TParam iD) | |
| Construct a line by a cartesian equation N.P + d == 0. | |
| const TPoint | support () const |
| return generated support point. | |
| const TVector | direction () const |
| return generated direction vector. | |
| 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, snapped to zero by iRelativeTolerance. | |
| 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 parameter in generated parametric equation | |
| const TValue | t (const TPoint &iPoint) const |
| return parameter along generated paremetric equation. | |
| bool | isValid () const |
| return true if line is a valid line (no normal or direction vectors that are zero). | |
Detailed Description
class lass::prim::impl::Line2DCartesian< T, NormalizingPolicy >
implementation of 2d line with both cartesian and parametric equation.
Definition at line 65 of file line_2d_cartesian.h.
Constructor & Destructor Documentation
◆ Line2DCartesian() [1/4]
| lass::prim::impl::Line2DCartesian< T, NP >::Line2DCartesian | ( | const TPoint & | iSupport, |
| const TPoint & | iPoint ) |
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 80 of file line_2d_cartesian.inl.
◆ Line2DCartesian() [2/4]
| lass::prim::impl::Line2DCartesian< T, NP >::Line2DCartesian | ( | const TPoint & | iSupport, |
| const TVector & | iDirection ) |
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 iDir.
- 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 96 of file line_2d_cartesian.inl.
◆ Line2DCartesian() [3/4]
| lass::prim::impl::Line2DCartesian< T, NP >::Line2DCartesian | ( | const TVector & | iNormal, |
| const TPoint & | iSupport ) |
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 112 of file line_2d_cartesian.inl.
◆ Line2DCartesian() [4/4]
| lass::prim::impl::Line2DCartesian< T, NP >::Line2DCartesian | ( | const TVector & | iNormal, |
| TParam | iD ) |
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 128 of file line_2d_cartesian.inl.
Member Function Documentation
◆ support()
| const Line2DCartesian< T, NP >::TPoint lass::prim::impl::Line2DCartesian< T, NP >::support | ( | ) | const |
return generated support point.
- Returns
- -d * N
Definition at line 141 of file line_2d_cartesian.inl.
Referenced by lass::prim::Line2D< T, EquationPolicy, NormalizingPolicy >::distance(), lass::prim::Line2D< T, EquationPolicy, NormalizingPolicy >::intersect(), point(), and t().
◆ reject() [1/2]
| const Line2DCartesian< T, NP >::TVector lass::prim::impl::Line2DCartesian< T, NP >::reject | ( | const TPoint & | iPoint | ) | const |
return the vector that, if added to the PROJECTION of iPoint, you get iPoint again.
iPoint == (almost) project(iPoint) + reject(iPoint)
Definition at line 211 of file line_2d_cartesian.inl.
References equation().
Referenced by project(), project(), reflect(), and reflect().
◆ reject() [2/2]
| const Line2DCartesian< T, NP >::TVector lass::prim::impl::Line2DCartesian< T, NP >::reject | ( | const TVector & | iVector | ) | const |
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 224 of file line_2d_cartesian.inl.
The documentation for this class was generated from the following files:
