17 #ifndef IGNITION_MATH_LINE2_HH_ 18 #define IGNITION_MATH_LINE2_HH_ 38 this->
Set(_ptA, _ptB);
46 public:
Line2(
double _x1,
double _y1,
double _x2,
double _y2)
48 this->
Set(_x1, _y1, _x2, _y2);
66 public:
void Set(
double _x1,
double _y1,
double _x2,
double _y2)
68 this->pts[0].Set(_x1, _y1);
69 this->pts[1].Set(_x2, _y2);
80 return (this->pts[0].X() - this->pts[1].X()) *
81 (_line[0].Y() -_line[1].Y()) -
82 (this->pts[0].Y() - this->pts[1].Y()) *
83 (_line[0].X() - _line[1].X());
93 return (_pt.
Y() - this->pts[0].Y()) *
94 (this->pts[1].X() - this->pts[0].X()) -
95 (_pt.
X() - this->pts[0].X()) *
96 (this->pts[1].Y() - this->pts[0].Y());
106 double _epsilon = 1e-6)
const 109 static_cast<T>(0), _epsilon);
120 double _epsilon = 1e-6)
const 123 static_cast<T>(0), _epsilon);
134 double _epsilon = 1e-6)
const 136 return this->
Parallel(_line, _epsilon) &&
146 double _epsilon = 1e-6)
const 159 double _epsilon = 1e-6)
const 161 return _pt.
X() <=
std::max(this->pts[0].X(),
162 this->pts[1].X()) + _epsilon &&
164 this->pts[1].X()) - _epsilon &&
166 this->pts[1].Y()) + _epsilon &&
168 this->pts[1].Y()) - _epsilon;
177 double _epsilon = 1e-6)
const 180 return this->
Intersect(_line, ignore, _epsilon);
192 double _epsilon = 1e-6)
const 201 if (this->
Within(_line[0], _epsilon))
207 else if (this->
Within(_line[1], _epsilon))
217 _pt.
X((_line[0].X() - _line[1].X()) *
218 (this->pts[0].X() * this->pts[1].Y() -
219 this->pts[0].Y() * this->pts[1].X()) -
220 (this->pts[0].X() - this->pts[1].X()) *
221 (_line[0].X() * _line[1].Y() - _line[0].Y() * _line[1].X()));
223 _pt.
Y((_line[0].Y() - _line[1].Y()) *
224 (this->pts[0].X() * this->pts[1].Y() -
225 this->pts[0].Y() * this->pts[1].X()) -
226 (this->pts[0].Y() - this->pts[1].Y()) *
227 (_line[0].X() * _line[1].Y() - _line[0].Y() * _line[1].X()));
231 if (_pt.
X() <
std::min(this->pts[0].X(), this->pts[1].X()) ||
232 _pt.
X() >
std::max(this->pts[0].X(), this->pts[1].X()) ||
233 _pt.
X() <
std::min(_line[0].X(), _line[1].X()) ||
234 _pt.
X() >
std::max(_line[0].X(), _line[1].X()))
239 if (_pt.
Y() <
std::min(this->pts[0].Y(), this->pts[1].Y()) ||
240 _pt.
Y() >
std::max(this->pts[0].Y(), this->pts[1].Y()) ||
241 _pt.
Y() <
std::min(_line[0].Y(), _line[1].Y()) ||
242 _pt.
Y() >
std::max(_line[0].Y(), _line[1].Y()))
254 return sqrt((this->pts[0].X() - this->pts[1].X()) *
255 (this->pts[0].X() - this->pts[1].X()) +
256 (this->pts[0].Y() - this->pts[1].Y()) *
257 (this->pts[0].Y() - this->pts[1].Y()));
264 if (
math::equal(this->pts[1].X(), this->pts[0].X()))
267 return (this->pts[1].Y() - this->pts[0].Y()) /
268 static_cast<double>(this->pts[1].X() - this->pts[0].X());
276 return this->pts[0] == _line[0] && this->pts[1] == _line[1];
284 return !(*
this == _line);
300 std::ostream &_out,
const Line2<T> &_line)
302 _out << _line[0] <<
" " << _line[1];
bool operator==(const Line2< T > &_line) const
Equality operator.
Definition: Line2.hh:274
bool Collinear(const math::Vector2< T > &_pt, double _epsilon=1e-6) const
Check if the given point is collinear with this line.
Definition: Line2.hh:105
T Length() const
Get the length of the line.
Definition: Line2.hh:252
static const size_t IGN_ONE_SIZE_T
size_t type with a value of 1
Definition: Helpers.hh:216
Line2< float > Line2f
Definition: Line2.hh:312
bool Collinear(const math::Line2< T > &_line, double _epsilon=1e-6) const
Check if the given line is collinear with this line.
Definition: Line2.hh:133
static const double NAN_D
Returns the representation of a quiet not a number (NAN)
Definition: Helpers.hh:255
void Set(double _x1, double _y1, double _x2, double _y2)
Set the start and end point of the line segment.
Definition: Line2.hh:66
bool operator!=(const Line2< T > &_line) const
Inequality operator.
Definition: Line2.hh:282
double Slope() const
Get the slope of the line.
Definition: Line2.hh:262
static const size_t IGN_ZERO_SIZE_T
size_t type with a value of 0
Definition: Helpers.hh:213
Two dimensional (x, y) vector.
Definition: Vector2.hh:29
T X() const
Return the x value.
Definition: Vector2.hh:380
T max(const std::vector< T > &_values)
get the maximum value of vector of values
Definition: Helpers.hh:515
bool Within(const math::Vector2< T > &_pt, double _epsilon=1e-6) const
Check if the given point is between the start and end points of the line segment. ...
Definition: Line2.hh:158
A two dimensional line segment.
Definition: Line2.hh:31
bool equal(const T &_a, const T &_b, const T &_epsilon=T(1e-6))
check if two values are equal, within a tolerance
Definition: Helpers.hh:542
Line2(const math::Vector2< T > &_ptA, const math::Vector2< T > &_ptB)
Constructor.
Definition: Line2.hh:36
bool Parallel(const math::Line2< T > &_line, double _epsilon=1e-6) const
Check if the given line is parallel with this line.
Definition: Line2.hh:119
Line2< double > Line2d
Definition: Line2.hh:311
math::Vector2< T > operator[](size_t _index) const
Get the start or end point.
Definition: Line2.hh:290
bool OnSegment(const math::Vector2< T > &_pt, double _epsilon=1e-6) const
Return whether the given point is on this line segment.
Definition: Line2.hh:145
friend std::ostream & operator<<(std::ostream &_out, const Line2< T > &_line)
Stream extraction operator.
Definition: Line2.hh:299
double CrossProduct(const Vector2< T > &_pt) const
Return the cross product of this line and the given point.
Definition: Line2.hh:91
bool Intersect(const Line2< T > &_line, double _epsilon=1e-6) const
Check if this line intersects the given line segment.
Definition: Line2.hh:176
Line2(double _x1, double _y1, double _x2, double _y2)
Constructor.
Definition: Line2.hh:46
bool Intersect(const Line2< T > &_line, math::Vector2< T > &_pt, double _epsilon=1e-6) const
Check if this line intersects the given line segment.
Definition: Line2.hh:191
double CrossProduct(const Line2< T > &_line) const
Return the cross product of this line and the given line.
Definition: Line2.hh:78
T Y() const
Return the y value.
Definition: Vector2.hh:387
T min(const std::vector< T > &_values)
get the minimum value of vector of values
Definition: Helpers.hh:528
T clamp(T _v, T _min, T _max)
Simple clamping function.
Definition: Helpers.hh:392
Line2< int > Line2i
Definition: Line2.hh:310
void Set(const math::Vector2< T > &_ptA, const math::Vector2< T > &_ptB)
Set the start and end point of the line segment.
Definition: Line2.hh:54