Describes a line in 3D space. A line is positioned in space with an axis (a gp_Ax1 object) which gives it an origin and a 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 gce_MakeLin which provides functions for more complex line constructions Geom_Line which provides additional functions for constructing lines and works, in particular, with the parametric equations of lines. More...

#include <gp_Lin.hxx>

Public Member Functions
constexpr	gp_Lin () noexcept=default
	Creates a Line corresponding to Z axis of the reference coordinate system.

constexpr	gp_Lin (const gp_Ax1 &theA1) noexcept
	Creates a line defined by axis theA1.

constexpr	gp_Lin (const gp_Pnt &theP, const gp_Dir &theV) noexcept
	Creates a line passing through point theP and parallel to vector theV (theP and theV are, respectively, the origin and the unit vector of the positioning axis of the line).

constexpr void	Reverse () noexcept

constexpr gp_Lin	Reversed () const noexcept
	Reverses the direction of the line. Note:

constexpr void	SetDirection (const gp_Dir &theV) noexcept
	Changes the direction of the line.

constexpr void	SetLocation (const gp_Pnt &theP) noexcept
	Changes the location point (origin) of the line.

constexpr void	SetPosition (const gp_Ax1 &theA1) noexcept
	Complete redefinition of the line. The "Location" point of <theA1> is the origin of the line. The "Direction" of <theA1> is the direction of the line.

constexpr const gp_Dir &	Direction () const noexcept
	Returns the direction of the line.

constexpr const gp_Pnt &	Location () const noexcept
	Returns the location point (origin) of the line.

constexpr const gp_Ax1 &	Position () const noexcept
	Returns the axis placement one axis with the same location and direction as <me>.

double	Angle (const gp_Lin &theOther) const noexcept
	Computes the angle between two lines in radians.

bool	Contains (const gp_Pnt &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_Pnt &theP) const noexcept
	Computes the distance between <me> and the point theP.

double	Distance (const gp_Lin &theOther) const
	Computes the distance between two lines.

double	SquareDistance (const gp_Pnt &theP) const noexcept
	Computes the square distance between <me> and the point theP.

double	SquareDistance (const gp_Lin &theOther) const noexcept
	Computes the square distance between two lines.

gp_Lin	Normal (const gp_Pnt &theP) const
	Computes the line normal to the direction of <me>, passing through the point theP. Raises ConstructionError if the distance between <me> and the point theP is lower or equal to Resolution from gp because there is an infinity of solutions in 3D space.

void	Mirror (const gp_Pnt &theP) noexcept

gp_Lin	Mirrored (const gp_Pnt &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_Ax1 &theA1) noexcept

gp_Lin	Mirrored (const gp_Ax1 &theA1) const noexcept
	Performs the symmetrical transformation of a line with respect to an axis placement which is the axis of the symmetry.

void	Mirror (const gp_Ax2 &theA2) noexcept

gp_Lin	Mirrored (const gp_Ax2 &theA2) const noexcept
	Performs the symmetrical transformation of a line with respect to a plane. The axis placement <theA2> locates the plane of the symmetry: (Location, XDirection, YDirection).

void	Rotate (const gp_Ax1 &theA1, const double theAng)

gp_Lin	Rotated (const gp_Ax1 &theA1, const double theAng) const
	Rotates a line. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians.

void	Scale (const gp_Pnt &theP, const double theS)

gp_Lin	Scaled (const gp_Pnt &theP, const double theS) const
	Scales a line. theS is the scaling value. The "Location" point (origin) of the line is modified. The "Direction" is reversed if the scale is negative.

void	Transform (const gp_Trsf &theT)

gp_Lin	Transformed (const gp_Trsf &theT) const
	Transforms a line with the transformation theT from class Trsf.

constexpr void	Translate (const gp_Vec &theV) noexcept

constexpr gp_Lin	Translated (const gp_Vec &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_Pnt &theP1, const gp_Pnt &theP2) noexcept

constexpr gp_Lin	Translated (const gp_Pnt &theP1, const gp_Pnt &theP2) const noexcept
	Translates a line from the point theP1 to the point theP2.

Detailed Description

Describes a line in 3D space. A line is positioned in space with an axis (a gp_Ax1 object) which gives it an origin and a 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 gce_MakeLin which provides functions for more complex line constructions Geom_Line which provides additional functions for constructing lines and works, in particular, with the parametric equations of lines.

Constructor & Destructor Documentation

◆ gp_Lin() [1/3]

constexpr gp_Lin::gp_Lin ( )

constexprdefaultnoexcept

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

◆ gp_Lin() [2/3]

constexpr gp_Lin::gp_Lin ( const gp_Ax1 & theA1 )

inlineconstexprnoexcept

Creates a line defined by axis theA1.

◆ gp_Lin() [3/3]

constexpr gp_Lin::gp_Lin	(	const gp_Pnt &	theP,
		const gp_Dir &	theV )

inlineconstexprnoexcept

Creates a line passing through point theP and parallel to vector theV (theP and theV are, respectively, the origin and the unit vector of the positioning axis of the line).

Member Function Documentation

◆ Angle()

double gp_Lin::Angle ( const gp_Lin & theOther ) const

inlinenoexcept

Computes the angle between two lines in radians.

◆ Contains()

bool gp_Lin::Contains	(	const gp_Pnt &	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_Dir & gp_Lin::Direction ( ) const

inlineconstexprnoexcept

Returns the direction of the line.

◆ Distance() [1/2]

double gp_Lin::Distance ( const gp_Lin & theOther ) const

Computes the distance between two lines.

◆ Distance() [2/2]

double gp_Lin::Distance ( const gp_Pnt & theP ) const

inlinenoexcept

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

◆ Location()

constexpr const gp_Pnt & gp_Lin::Location ( ) const

inlineconstexprnoexcept

Returns the location point (origin) of the line.

◆ Mirror() [1/3]

void gp_Lin::Mirror ( const gp_Ax1 & theA1 )

noexcept

◆ Mirror() [2/3]

void gp_Lin::Mirror ( const gp_Ax2 & theA2 )

noexcept

◆ Mirror() [3/3]

void gp_Lin::Mirror ( const gp_Pnt & theP )

noexcept

◆ Mirrored() [1/3]

gp_Lin gp_Lin::Mirrored ( const gp_Ax1 & theA1 ) const

noexcept

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

◆ Mirrored() [2/3]

gp_Lin gp_Lin::Mirrored ( const gp_Ax2 & theA2 ) const

noexcept

Performs the symmetrical transformation of a line with respect to a plane. The axis placement <theA2> locates the plane of the symmetry: (Location, XDirection, YDirection).

◆ Mirrored() [3/3]

gp_Lin gp_Lin::Mirrored ( const gp_Pnt & 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_Lin gp_Lin::Normal ( const gp_Pnt & theP ) const

inline

Computes the line normal to the direction of <me>, passing through the point theP. Raises ConstructionError if the distance between <me> and the point theP is lower or equal to Resolution from gp because there is an infinity of solutions in 3D space.

◆ Position()

constexpr const gp_Ax1 & gp_Lin::Position ( ) const

inlineconstexprnoexcept

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

◆ Reverse()

constexpr void gp_Lin::Reverse ( )

inlineconstexprnoexcept

◆ Reversed()

constexpr gp_Lin gp_Lin::Reversed ( ) const

inlineconstexprnoexcept

Reverses the direction of the line. Note:

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

◆ Rotate()

void gp_Lin::Rotate	(	const gp_Ax1 &	theA1,
		const double	theAng )

inline

◆ Rotated()

gp_Lin gp_Lin::Rotated	(	const gp_Ax1 &	theA1,
		const double	theAng ) const

inline

Rotates a line. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians.

◆ Scale()

void gp_Lin::Scale	(	const gp_Pnt &	theP,
		const double	theS )

inline

◆ Scaled()

gp_Lin gp_Lin::Scaled	(	const gp_Pnt &	theP,
		const double	theS ) const

inline

Scales a line. theS is the scaling value. The "Location" point (origin) of the line is modified. The "Direction" is reversed if the scale is negative.

◆ SetDirection()

constexpr void gp_Lin::SetDirection ( const gp_Dir & theV )

inlineconstexprnoexcept

Changes the direction of the line.

◆ SetLocation()

constexpr void gp_Lin::SetLocation ( const gp_Pnt & theP )

inlineconstexprnoexcept

Changes the location point (origin) of the line.

◆ SetPosition()

constexpr void gp_Lin::SetPosition ( const gp_Ax1 & theA1 )

inlineconstexprnoexcept

Complete redefinition of the line. The "Location" point of <theA1> is the origin of the line. The "Direction" of <theA1> is the direction of the line.

◆ SquareDistance() [1/2]

double gp_Lin::SquareDistance ( const gp_Lin & theOther ) const

inlinenoexcept

Computes the square distance between two lines.

◆ SquareDistance() [2/2]

double gp_Lin::SquareDistance ( const gp_Pnt & theP ) const

inlinenoexcept

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

◆ Transform()

void gp_Lin::Transform ( const gp_Trsf & theT )

inline

◆ Transformed()

gp_Lin gp_Lin::Transformed ( const gp_Trsf & theT ) const

inline

Transforms a line with the transformation theT from class Trsf.

◆ Translate() [1/2]

constexpr void gp_Lin::Translate	(	const gp_Pnt &	theP1,
		const gp_Pnt &	theP2 )

inlineconstexprnoexcept

◆ Translate() [2/2]

constexpr void gp_Lin::Translate ( const gp_Vec & theV )

inlineconstexprnoexcept

◆ Translated() [1/2]

constexpr gp_Lin gp_Lin::Translated	(	const gp_Pnt &	theP1,
		const gp_Pnt &	theP2 ) const

inlineconstexprnoexcept

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

◆ Translated() [2/2]

constexpr gp_Lin gp_Lin::Translated ( const gp_Vec & 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:

gp_Lin.hxx

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ gp_Lin() [1/3]

◆ gp_Lin() [2/3]

◆ gp_Lin() [3/3]

Member Function Documentation

◆ Angle()

◆ Contains()

◆ Direction()

◆ Distance() [1/2]

◆ Distance() [2/2]

◆ Location()

◆ Mirror() [1/3]

◆ Mirror() [2/3]

◆ Mirror() [3/3]

◆ Mirrored() [1/3]

◆ Mirrored() [2/3]

◆ Mirrored() [3/3]

◆ Normal()

◆ Position()

◆ Reverse()

◆ Reversed()

◆ Rotate()

◆ Rotated()

◆ Scale()

◆ Scaled()

◆ SetDirection()

◆ SetLocation()

◆ SetPosition()

◆ SquareDistance() [1/2]

◆ SquareDistance() [2/2]

◆ Transform()

◆ Transformed()

◆ Translate() [1/2]

◆ Translate() [2/2]

◆ Translated() [1/2]

◆ Translated() [2/2]