Open CASCADE Technology Reference Manual 8.0.0
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Public Member Functions
gp_Lin2d Class Reference

Describes a line in 2D space. A line is positioned in the plane with an axis (a gp_Ax2d object) which gives the line its origin and unit vector. A line and an axis are similar objects, thus, we can convert one into the other. A line provides direct access to the majority of the edit and query functions available on its positioning axis. In addition, however, a line has specific functions for computing distances and positions. See Also GccAna and Geom2dGcc packages which provide functions for constructing lines defined by geometric constraints gce_MakeLin2d which provides functions for more complex line constructions Geom2d_Line which provides additional functions for constructing lines and works, in particular, with the parametric equations of lines. More...

#include <gp_Lin2d.hxx>

Public Member Functions

constexpr gp_Lin2d () noexcept=default
 Creates a Line corresponding to X axis of the reference coordinate system.
 
constexpr gp_Lin2d (const gp_Ax2d &theA) noexcept
 Creates a line located with theA.
 
constexpr gp_Lin2d (const gp_Pnt2d &theP, const gp_Dir2d &theV) noexcept
 <theP> is the location point (origin) of the line and <theV> is the direction of the line.
 
 gp_Lin2d (const double theA, const double theB, const double theC)
 Creates the line from the equation theA*X + theB*Y + theC = 0.0 Raises ConstructionError if std::sqrt(theA*theA + theB*theB) <= Resolution from gp. Raised if std::sqrt(theA*theA + theB*theB) <= Resolution from gp.
 
constexpr void Reverse () noexcept
 
constexpr gp_Lin2d Reversed () const noexcept
 Reverses the positioning axis of this line. Note:
 
constexpr void SetDirection (const gp_Dir2d &theV) noexcept
 Changes the direction of the line.
 
constexpr void SetLocation (const gp_Pnt2d &theP) noexcept
 Changes the origin of the line.
 
constexpr void SetPosition (const gp_Ax2d &theA) noexcept
 Complete redefinition of the line. The "Location" point of <theA> is the origin of the line. The "Direction" of <theA> is the direction of the line.
 
constexpr void Coefficients (double &theA, double &theB, double &theC) const noexcept
 Returns the normalized coefficients of the line : theA * X + theB * Y + theC = 0.
 
constexpr const gp_Dir2dDirection () const noexcept
 Returns the direction of the line.
 
constexpr const gp_Pnt2dLocation () const noexcept
 Returns the location point (origin) of the line.
 
constexpr const gp_Ax2dPosition () const noexcept
 Returns the axis placement one axis with the same location and direction as <me>.
 
double Angle (const gp_Lin2d &theOther) const
 Computes the angle between two lines in radians.
 
bool Contains (const gp_Pnt2d &theP, const double theLinearTolerance) const noexcept
 Returns true if this line contains the point theP, that is, if the distance between point theP and this line is less than or equal to theLinearTolerance.
 
double Distance (const gp_Pnt2d &theP) const noexcept
 Computes the distance between <me> and the point <theP>.
 
double Distance (const gp_Lin2d &theOther) const noexcept
 Computes the distance between two lines.
 
constexpr double SquareDistance (const gp_Pnt2d &theP) const noexcept
 Computes the square distance between <me> and the point <theP>.
 
double SquareDistance (const gp_Lin2d &theOther) const noexcept
 Computes the square distance between two lines.
 
gp_Lin2d Normal (const gp_Pnt2d &theP) const noexcept
 Computes the line normal to the direction of <me>, passing through the point <theP>.
 
void Mirror (const gp_Pnt2d &theP) noexcept
 
gp_Lin2d Mirrored (const gp_Pnt2d &theP) const noexcept
 Performs the symmetrical transformation of a line with respect to the point <theP> which is the center of the symmetry.
 
void Mirror (const gp_Ax2d &theA) noexcept
 
gp_Lin2d Mirrored (const gp_Ax2d &theA) const noexcept
 Performs the symmetrical transformation of a line with respect to an axis placement which is the axis of the symmetry.
 
void Rotate (const gp_Pnt2d &theP, const double theAng)
 
gp_Lin2d Rotated (const gp_Pnt2d &theP, const double theAng) const
 Rotates a line. theP is the center of the rotation. theAng is the angular value of the rotation in radians.
 
void Scale (const gp_Pnt2d &theP, const double theS)
 
gp_Lin2d Scaled (const gp_Pnt2d &theP, const double theS) const
 Scales a line. theS is the scaling value. Only the origin of the line is modified.
 
void Transform (const gp_Trsf2d &theT) noexcept
 
gp_Lin2d Transformed (const gp_Trsf2d &theT) const noexcept
 Transforms a line with the transformation theT from class Trsf2d.
 
constexpr void Translate (const gp_Vec2d &theV) noexcept
 
constexpr gp_Lin2d Translated (const gp_Vec2d &theV) const noexcept
 Translates a line in the direction of the vector theV. The magnitude of the translation is the vector's magnitude.
 
constexpr void Translate (const gp_Pnt2d &theP1, const gp_Pnt2d &theP2) noexcept
 
constexpr gp_Lin2d Translated (const gp_Pnt2d &theP1, const gp_Pnt2d &theP2) const noexcept
 Translates a line from the point theP1 to the point theP2.
 

Detailed Description

Describes a line in 2D space. A line is positioned in the plane with an axis (a gp_Ax2d object) which gives the line its origin and unit vector. A line and an axis are similar objects, thus, we can convert one into the other. A line provides direct access to the majority of the edit and query functions available on its positioning axis. In addition, however, a line has specific functions for computing distances and positions. See Also GccAna and Geom2dGcc packages which provide functions for constructing lines defined by geometric constraints gce_MakeLin2d which provides functions for more complex line constructions Geom2d_Line which provides additional functions for constructing lines and works, in particular, with the parametric equations of lines.

Constructor & Destructor Documentation

◆ gp_Lin2d() [1/4]

constexpr gp_Lin2d::gp_Lin2d ( )
constexprdefaultnoexcept

Creates a Line corresponding to X axis of the reference coordinate system.

◆ gp_Lin2d() [2/4]

constexpr gp_Lin2d::gp_Lin2d ( const gp_Ax2d & theA)
inlineconstexprnoexcept

Creates a line located with theA.

◆ gp_Lin2d() [3/4]

constexpr gp_Lin2d::gp_Lin2d ( const gp_Pnt2d & theP,
const gp_Dir2d & theV )
inlineconstexprnoexcept

<theP> is the location point (origin) of the line and <theV> is the direction of the line.

◆ gp_Lin2d() [4/4]

gp_Lin2d::gp_Lin2d ( const double theA,
const double theB,
const double theC )

Creates the line from the equation theA*X + theB*Y + theC = 0.0 Raises ConstructionError if std::sqrt(theA*theA + theB*theB) <= Resolution from gp. Raised if std::sqrt(theA*theA + theB*theB) <= Resolution from gp.

Member Function Documentation

◆ Angle()

double gp_Lin2d::Angle ( const gp_Lin2d & theOther) const
inline

Computes the angle between two lines in radians.

◆ Coefficients()

constexpr void gp_Lin2d::Coefficients ( double & theA,
double & theB,
double & theC ) const
inlineconstexprnoexcept

Returns the normalized coefficients of the line : theA * X + theB * Y + theC = 0.

◆ Contains()

bool gp_Lin2d::Contains ( const gp_Pnt2d & theP,
const double theLinearTolerance ) const
inlinenoexcept

Returns true if this line contains the point theP, that is, if the distance between point theP and this line is less than or equal to theLinearTolerance.

◆ Direction()

constexpr const gp_Dir2d & gp_Lin2d::Direction ( ) const
inlineconstexprnoexcept

Returns the direction of the line.

◆ Distance() [1/2]

double gp_Lin2d::Distance ( const gp_Lin2d & theOther) const
inlinenoexcept

Computes the distance between two lines.

◆ Distance() [2/2]

double gp_Lin2d::Distance ( const gp_Pnt2d & theP) const
inlinenoexcept

Computes the distance between <me> and the point <theP>.

◆ Location()

constexpr const gp_Pnt2d & gp_Lin2d::Location ( ) const
inlineconstexprnoexcept

Returns the location point (origin) of the line.

◆ Mirror() [1/2]

void gp_Lin2d::Mirror ( const gp_Ax2d & theA)
noexcept

◆ Mirror() [2/2]

void gp_Lin2d::Mirror ( const gp_Pnt2d & theP)
noexcept

◆ Mirrored() [1/2]

gp_Lin2d gp_Lin2d::Mirrored ( const gp_Ax2d & theA) const
noexcept

Performs the symmetrical transformation of a line with respect to an axis placement which is the axis of the symmetry.

◆ Mirrored() [2/2]

gp_Lin2d gp_Lin2d::Mirrored ( const gp_Pnt2d & theP) const
noexcept

Performs the symmetrical transformation of a line with respect to the point <theP> which is the center of the symmetry.

◆ Normal()

gp_Lin2d gp_Lin2d::Normal ( const gp_Pnt2d & theP) const
inlinenoexcept

Computes the line normal to the direction of <me>, passing through the point <theP>.

◆ Position()

constexpr const gp_Ax2d & gp_Lin2d::Position ( ) const
inlineconstexprnoexcept

Returns the axis placement one axis with the same location and direction as <me>.

◆ Reverse()

constexpr void gp_Lin2d::Reverse ( )
inlineconstexprnoexcept

◆ Reversed()

constexpr gp_Lin2d gp_Lin2d::Reversed ( ) const
inlineconstexprnoexcept

Reverses the positioning axis of this line. Note:

  • Reverse assigns the result to this line, while
  • Reversed creates a new one.

◆ Rotate()

void gp_Lin2d::Rotate ( const gp_Pnt2d & theP,
const double theAng )
inline

◆ Rotated()

gp_Lin2d gp_Lin2d::Rotated ( const gp_Pnt2d & theP,
const double theAng ) const
inline

Rotates a line. theP is the center of the rotation. theAng is the angular value of the rotation in radians.

◆ Scale()

void gp_Lin2d::Scale ( const gp_Pnt2d & theP,
const double theS )
inline

◆ Scaled()

gp_Lin2d gp_Lin2d::Scaled ( const gp_Pnt2d & theP,
const double theS ) const
inline

Scales a line. theS is the scaling value. Only the origin of the line is modified.

◆ SetDirection()

constexpr void gp_Lin2d::SetDirection ( const gp_Dir2d & theV)
inlineconstexprnoexcept

Changes the direction of the line.

◆ SetLocation()

constexpr void gp_Lin2d::SetLocation ( const gp_Pnt2d & theP)
inlineconstexprnoexcept

Changes the origin of the line.

◆ SetPosition()

constexpr void gp_Lin2d::SetPosition ( const gp_Ax2d & theA)
inlineconstexprnoexcept

Complete redefinition of the line. The "Location" point of <theA> is the origin of the line. The "Direction" of <theA> is the direction of the line.

◆ SquareDistance() [1/2]

double gp_Lin2d::SquareDistance ( const gp_Lin2d & theOther) const
inlinenoexcept

Computes the square distance between two lines.

◆ SquareDistance() [2/2]

constexpr double gp_Lin2d::SquareDistance ( const gp_Pnt2d & theP) const
inlineconstexprnoexcept

Computes the square distance between <me> and the point <theP>.

◆ Transform()

void gp_Lin2d::Transform ( const gp_Trsf2d & theT)
inlinenoexcept

◆ Transformed()

gp_Lin2d gp_Lin2d::Transformed ( const gp_Trsf2d & theT) const
inlinenoexcept

Transforms a line with the transformation theT from class Trsf2d.

◆ Translate() [1/2]

constexpr void gp_Lin2d::Translate ( const gp_Pnt2d & theP1,
const gp_Pnt2d & theP2 )
inlineconstexprnoexcept

◆ Translate() [2/2]

constexpr void gp_Lin2d::Translate ( const gp_Vec2d & theV)
inlineconstexprnoexcept

◆ Translated() [1/2]

constexpr gp_Lin2d gp_Lin2d::Translated ( const gp_Pnt2d & theP1,
const gp_Pnt2d & theP2 ) const
inlineconstexprnoexcept

Translates a line from the point theP1 to the point theP2.

◆ Translated() [2/2]

constexpr gp_Lin2d gp_Lin2d::Translated ( const gp_Vec2d & theV) const
inlineconstexprnoexcept

Translates a line in the direction of the vector theV. The magnitude of the translation is the vector's magnitude.


The documentation for this class was generated from the following file: