Defines a non-persistent vector in 2D space. More...

#include <gp_Vec2d.hxx>

Public Member Functions
constexpr	gp_Vec2d () noexcept=default
	Creates a zero vector.

constexpr	gp_Vec2d (const gp_Dir2d &theV)
	Creates a unitary vector from a direction theV.

constexpr	gp_Vec2d (const gp_XY &theCoord) noexcept
	Creates a vector with a doublet of coordinates.

constexpr	gp_Vec2d (const double theXv, const double theYv) noexcept
	Creates a point with its two Cartesian coordinates.

constexpr	gp_Vec2d (const gp_Pnt2d &theP1, const gp_Pnt2d &theP2)
	Creates a vector from two points. The length of the vector is the distance between theP1 and theP2.

constexpr void	SetCoord (const int theIndex, const double theXi)
	Changes the coordinate of range theIndex theIndex = 1 => X is modified theIndex = 2 => Y is modified Raises OutOfRange if theIndex != {1, 2}.

constexpr void	SetCoord (const double theXv, const double theYv) noexcept
	For this vector, assigns the values theXv and theYv to its two coordinates.

constexpr void	SetX (const double theX) noexcept
	Assigns the given value to the X coordinate of this vector.

constexpr void	SetY (const double theY) noexcept
	Assigns the given value to the Y coordinate of this vector.

constexpr void	SetXY (const gp_XY &theCoord) noexcept
	Assigns the two coordinates of theCoord to this vector.

constexpr double	Coord (const int theIndex) const
	Returns the coordinate of range theIndex : theIndex = 1 => X is returned theIndex = 2 => Y is returned Raised if theIndex != {1, 2}.

constexpr void	Coord (double &theXv, double &theYv) const noexcept
	For this vector, returns its two coordinates theXv and theYv.

constexpr double	X () const noexcept
	For this vector, returns its X coordinate.

constexpr double	Y () const noexcept
	For this vector, returns its Y coordinate.

constexpr const gp_XY &	XY () const noexcept
	For this vector, returns its two coordinates as a number pair.

bool	IsEqual (const gp_Vec2d &theOther, const double theLinearTolerance, const double theAngularTolerance) const
	Returns True if the two vectors have the same magnitude value and the same direction. The precision values are theLinearTolerance for the magnitude and theAngularTolerance for the direction.

bool	IsNormal (const gp_Vec2d &theOther, const double theAngularTolerance) const
	Returns True if abs(std::abs(<me>.Angle(theOther)) - PI/2.) <= theAngularTolerance Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or theOther.Magnitude() <= Resolution from gp.

bool	IsOpposite (const gp_Vec2d &theOther, const double theAngularTolerance) const
	Returns True if PI - std::abs(<me>.Angle(theOther)) <= theAngularTolerance Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or theOther.Magnitude() <= Resolution from gp.

bool	IsParallel (const gp_Vec2d &theOther, const double theAngularTolerance) const
	Returns true if std::abs(Angle(<me>, theOther)) <= theAngularTolerance or PI - std::abs(Angle(<me>, theOther)) <= theAngularTolerance Two vectors with opposite directions are considered as parallel. Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or theOther.Magnitude() <= Resolution from gp.

double	Angle (const gp_Vec2d &theOther) const
	Computes the angular value between <me> and <theOther> returns the angle value between -PI and PI in radian. The orientation is from <me> to theOther. The positive sense is the trigonometric sense. Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution from gp or theOther.Magnitude() <= Resolution because the angular value is indefinite if one of the vectors has a null magnitude.

double	Magnitude () const
	Computes the magnitude of this vector.

double	SquareMagnitude () const
	Computes the square magnitude of this vector.

void	Add (const gp_Vec2d &theOther)

void	operator+= (const gp_Vec2d &theOther)

gp_Vec2d	Added (const gp_Vec2d &theOther) const
	Adds two vectors.

gp_Vec2d	operator+ (const gp_Vec2d &theOther) const

double	Crossed (const gp_Vec2d &theRight) const
	Computes the crossing product between two vectors.

double	operator^ (const gp_Vec2d &theRight) const

double	CrossMagnitude (const gp_Vec2d &theRight) const
	Computes the magnitude of the cross product between <me> and theRight. Returns \|\| <me> ^ theRight \|\|.

double	CrossSquareMagnitude (const gp_Vec2d &theRight) const
	Computes the square magnitude of the cross product between <me> and theRight. Returns \|\| <me> ^ theRight \|\|**2.

void	Divide (const double theScalar)

void	operator/= (const double theScalar)

gp_Vec2d	Divided (const double theScalar) const
	divides a vector by a scalar

gp_Vec2d	operator/ (const double theScalar) const

double	Dot (const gp_Vec2d &theOther) const
	Computes the scalar product.

double	operator* (const gp_Vec2d &theOther) const

gp_Vec2d	GetNormal () const

void	Multiply (const double theScalar)

void	operator*= (const double theScalar)

gp_Vec2d	Multiplied (const double theScalar) const
	Normalizes a vector Raises an exception if the magnitude of the vector is lower or equal to Resolution from package gp.

gp_Vec2d	operator* (const double theScalar) const

void	Normalize ()

gp_Vec2d	Normalized () const
	Normalizes a vector Raises an exception if the magnitude of the vector is lower or equal to Resolution from package gp. Reverses the direction of a vector.

void	Reverse ()

gp_Vec2d	Reversed () const
	Reverses the direction of a vector.

gp_Vec2d	operator- () const

void	Subtract (const gp_Vec2d &theRight)
	Subtracts two vectors.

void	operator-= (const gp_Vec2d &theRight)

gp_Vec2d	Subtracted (const gp_Vec2d &theRight) const
	Subtracts two vectors.

gp_Vec2d	operator- (const gp_Vec2d &theRight) const

void	SetLinearForm (const double theA1, const gp_Vec2d &theV1, const double theA2, const gp_Vec2d &theV2, const gp_Vec2d &theV3)
	<me> is set to the following linear form : theA1 * theV1 + theA2 * theV2 + theV3

void	SetLinearForm (const double theA1, const gp_Vec2d &theV1, const double theA2, const gp_Vec2d &theV2)
	<me> is set to the following linear form : theA1 * theV1 + theA2 * theV2

void	SetLinearForm (const double theA1, const gp_Vec2d &theV1, const gp_Vec2d &theV2)
	<me> is set to the following linear form : theA1 * theV1 + theV2

void	SetLinearForm (const gp_Vec2d &theV1, const gp_Vec2d &theV2)
	<me> is set to the following linear form : theV1 + theV2

void	Mirror (const gp_Vec2d &theV)
	Performs the symmetrical transformation of a vector with respect to the vector theV which is the center of the symmetry.

gp_Vec2d	Mirrored (const gp_Vec2d &theV) const
	Performs the symmetrical transformation of a vector with respect to the vector theV which is the center of the symmetry.

void	Mirror (const gp_Ax2d &theA1)
	Performs the symmetrical transformation of a vector with respect to an axis placement which is the axis of the symmetry.

gp_Vec2d	Mirrored (const gp_Ax2d &theA1) const
	Performs the symmetrical transformation of a vector with respect to an axis placement which is the axis of the symmetry.

void	Rotate (const double theAng)

gp_Vec2d	Rotated (const double theAng) const
	Rotates a vector. theAng is the angular value of the rotation in radians.

void	Scale (const double theS)

gp_Vec2d	Scaled (const double theS) const
	Scales a vector. theS is the scaling value.

void	Transform (const gp_Trsf2d &theT) noexcept

gp_Vec2d	Transformed (const gp_Trsf2d &theT) const
	Transforms a vector with a Trsf from gp.

Detailed Description

Defines a non-persistent vector in 2D space.

Constructor & Destructor Documentation

◆ gp_Vec2d() [1/5]

constexpr gp_Vec2d::gp_Vec2d ( )

constexprdefaultnoexcept

Creates a zero vector.

◆ gp_Vec2d() [2/5]

constexpr gp_Vec2d::gp_Vec2d ( const gp_Dir2d & theV )

inlineconstexpr

Creates a unitary vector from a direction theV.

◆ gp_Vec2d() [3/5]

constexpr gp_Vec2d::gp_Vec2d ( const gp_XY & theCoord )

inlineconstexprnoexcept

Creates a vector with a doublet of coordinates.

◆ gp_Vec2d() [4/5]

constexpr gp_Vec2d::gp_Vec2d	(	const double	theXv,
		const double	theYv )

inlineconstexprnoexcept

Creates a point with its two Cartesian coordinates.

◆ gp_Vec2d() [5/5]

constexpr gp_Vec2d::gp_Vec2d	(	const gp_Pnt2d &	theP1,
		const gp_Pnt2d &	theP2 )

inlineconstexpr

Creates a vector from two points. The length of the vector is the distance between theP1 and theP2.

Member Function Documentation

◆ Add()

void gp_Vec2d::Add ( const gp_Vec2d & theOther )

inline

◆ Added()

gp_Vec2d gp_Vec2d::Added ( const gp_Vec2d & theOther ) const

inline

Adds two vectors.

◆ Angle()

double gp_Vec2d::Angle ( const gp_Vec2d & theOther ) const

Computes the angular value between <me> and <theOther> returns the angle value between -PI and PI in radian. The orientation is from <me> to theOther. The positive sense is the trigonometric sense. Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution from gp or theOther.Magnitude() <= Resolution because the angular value is indefinite if one of the vectors has a null magnitude.

◆ Coord() [1/2]

constexpr double gp_Vec2d::Coord ( const int theIndex ) const

inlineconstexpr

Returns the coordinate of range theIndex : theIndex = 1 => X is returned theIndex = 2 => Y is returned Raised if theIndex != {1, 2}.

◆ Coord() [2/2]

constexpr void gp_Vec2d::Coord	(	double &	theXv,
		double &	theYv ) const

inlineconstexprnoexcept

For this vector, returns its two coordinates theXv and theYv.

◆ Crossed()

double gp_Vec2d::Crossed ( const gp_Vec2d & theRight ) const

inline

Computes the crossing product between two vectors.

◆ CrossMagnitude()

double gp_Vec2d::CrossMagnitude ( const gp_Vec2d & theRight ) const

inline

Computes the magnitude of the cross product between <me> and theRight. Returns || <me> ^ theRight ||.

◆ CrossSquareMagnitude()

double gp_Vec2d::CrossSquareMagnitude ( const gp_Vec2d & theRight ) const

inline

Computes the square magnitude of the cross product between <me> and theRight. Returns || <me> ^ theRight ||**2.

◆ Divide()

void gp_Vec2d::Divide ( const double theScalar )

inline

◆ Divided()

gp_Vec2d gp_Vec2d::Divided ( const double theScalar ) const

inline

divides a vector by a scalar

◆ Dot()

double gp_Vec2d::Dot ( const gp_Vec2d & theOther ) const

inline

Computes the scalar product.

◆ GetNormal()

gp_Vec2d gp_Vec2d::GetNormal ( ) const

inline

◆ IsEqual()

bool gp_Vec2d::IsEqual	(	const gp_Vec2d &	theOther,
		const double	theLinearTolerance,
		const double	theAngularTolerance ) const

Returns True if the two vectors have the same magnitude value and the same direction. The precision values are theLinearTolerance for the magnitude and theAngularTolerance for the direction.

◆ IsNormal()

bool gp_Vec2d::IsNormal	(	const gp_Vec2d &	theOther,
		const double	theAngularTolerance ) const

inline

Returns True if abs(std::abs(<me>.Angle(theOther)) - PI/2.) <= theAngularTolerance Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or theOther.Magnitude() <= Resolution from gp.

◆ IsOpposite()

bool gp_Vec2d::IsOpposite	(	const gp_Vec2d &	theOther,
		const double	theAngularTolerance ) const

inline

Returns True if PI - std::abs(<me>.Angle(theOther)) <= theAngularTolerance Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or theOther.Magnitude() <= Resolution from gp.

◆ IsParallel()

bool gp_Vec2d::IsParallel	(	const gp_Vec2d &	theOther,
		const double	theAngularTolerance ) const

inline

Returns true if std::abs(Angle(<me>, theOther)) <= theAngularTolerance or PI - std::abs(Angle(<me>, theOther)) <= theAngularTolerance Two vectors with opposite directions are considered as parallel. Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or theOther.Magnitude() <= Resolution from gp.

◆ Magnitude()

double gp_Vec2d::Magnitude ( ) const

inline

Computes the magnitude of this vector.

◆ Mirror() [1/2]

void gp_Vec2d::Mirror ( const gp_Ax2d & theA1 )

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

◆ Mirror() [2/2]

void gp_Vec2d::Mirror ( const gp_Vec2d & theV )

Performs the symmetrical transformation of a vector with respect to the vector theV which is the center of the symmetry.

◆ Mirrored() [1/2]

gp_Vec2d gp_Vec2d::Mirrored ( const gp_Ax2d & theA1 ) const

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

◆ Mirrored() [2/2]

gp_Vec2d gp_Vec2d::Mirrored ( const gp_Vec2d & theV ) const

Performs the symmetrical transformation of a vector with respect to the vector theV which is the center of the symmetry.

◆ Multiplied()

gp_Vec2d gp_Vec2d::Multiplied ( const double theScalar ) const

inline

Normalizes a vector Raises an exception if the magnitude of the vector is lower or equal to Resolution from package gp.

◆ Multiply()

void gp_Vec2d::Multiply ( const double theScalar )

inline

◆ Normalize()

void gp_Vec2d::Normalize ( )

inline

◆ Normalized()

gp_Vec2d gp_Vec2d::Normalized ( ) const

inline

Normalizes a vector Raises an exception if the magnitude of the vector is lower or equal to Resolution from package gp. Reverses the direction of a vector.

◆ operator*() [1/2]

gp_Vec2d gp_Vec2d::operator* ( const double theScalar ) const

inline

◆ operator*() [2/2]

double gp_Vec2d::operator* ( const gp_Vec2d & theOther ) const

inline

◆ operator*=()

void gp_Vec2d::operator*= ( const double theScalar )

inline

◆ operator+()

gp_Vec2d gp_Vec2d::operator+ ( const gp_Vec2d & theOther ) const

inline

◆ operator+=()

void gp_Vec2d::operator+= ( const gp_Vec2d & theOther )

inline

◆ operator-() [1/2]

gp_Vec2d gp_Vec2d::operator- ( ) const

inline

◆ operator-() [2/2]

gp_Vec2d gp_Vec2d::operator- ( const gp_Vec2d & theRight ) const

inline

◆ operator-=()

void gp_Vec2d::operator-= ( const gp_Vec2d & theRight )

inline

◆ operator/()

gp_Vec2d gp_Vec2d::operator/ ( const double theScalar ) const

inline

◆ operator/=()

void gp_Vec2d::operator/= ( const double theScalar )

inline

◆ operator^()

double gp_Vec2d::operator^ ( const gp_Vec2d & theRight ) const

inline

◆ Reverse()

void gp_Vec2d::Reverse ( )

inline

◆ Reversed()

gp_Vec2d gp_Vec2d::Reversed ( ) const

inline

Reverses the direction of a vector.

◆ Rotate()

void gp_Vec2d::Rotate ( const double theAng )

inline

◆ Rotated()

gp_Vec2d gp_Vec2d::Rotated ( const double theAng ) const

inline

Rotates a vector. theAng is the angular value of the rotation in radians.

◆ Scale()

void gp_Vec2d::Scale ( const double theS )

inline

◆ Scaled()

gp_Vec2d gp_Vec2d::Scaled ( const double theS ) const

inline

Scales a vector. theS is the scaling value.

◆ SetCoord() [1/2]

constexpr void gp_Vec2d::SetCoord	(	const double	theXv,
		const double	theYv )

inlineconstexprnoexcept

For this vector, assigns the values theXv and theYv to its two coordinates.

◆ SetCoord() [2/2]

constexpr void gp_Vec2d::SetCoord	(	const int	theIndex,
		const double	theXi )

inlineconstexpr

Changes the coordinate of range theIndex theIndex = 1 => X is modified theIndex = 2 => Y is modified Raises OutOfRange if theIndex != {1, 2}.

◆ SetLinearForm() [1/4]

void gp_Vec2d::SetLinearForm	(	const double	theA1,
		const gp_Vec2d &	theV1,
		const double	theA2,
		const gp_Vec2d &	theV2 )

inline

<me> is set to the following linear form : theA1 * theV1 + theA2 * theV2

◆ SetLinearForm() [2/4]

void gp_Vec2d::SetLinearForm	(	const double	theA1,
		const gp_Vec2d &	theV1,
		const double	theA2,
		const gp_Vec2d &	theV2,
		const gp_Vec2d &	theV3 )

inline

<me> is set to the following linear form : theA1 * theV1 + theA2 * theV2 + theV3

◆ SetLinearForm() [3/4]

void gp_Vec2d::SetLinearForm	(	const double	theA1,
		const gp_Vec2d &	theV1,
		const gp_Vec2d &	theV2 )

inline

<me> is set to the following linear form : theA1 * theV1 + theV2

◆ SetLinearForm() [4/4]

void gp_Vec2d::SetLinearForm	(	const gp_Vec2d &	theV1,
		const gp_Vec2d &	theV2 )

inline

<me> is set to the following linear form : theV1 + theV2

◆ SetX()

constexpr void gp_Vec2d::SetX ( const double theX )

inlineconstexprnoexcept

Assigns the given value to the X coordinate of this vector.

◆ SetXY()

constexpr void gp_Vec2d::SetXY ( const gp_XY & theCoord )

inlineconstexprnoexcept

Assigns the two coordinates of theCoord to this vector.

◆ SetY()

constexpr void gp_Vec2d::SetY ( const double theY )

inlineconstexprnoexcept

Assigns the given value to the Y coordinate of this vector.

◆ SquareMagnitude()

double gp_Vec2d::SquareMagnitude ( ) const

inline

Computes the square magnitude of this vector.

◆ Subtract()

void gp_Vec2d::Subtract ( const gp_Vec2d & theRight )

inline

Subtracts two vectors.

◆ Subtracted()

gp_Vec2d gp_Vec2d::Subtracted ( const gp_Vec2d & theRight ) const

inline

Subtracts two vectors.

◆ Transform()

void gp_Vec2d::Transform ( const gp_Trsf2d & theT )

noexcept

◆ Transformed()

gp_Vec2d gp_Vec2d::Transformed ( const gp_Trsf2d & theT ) const

inline

Transforms a vector with a Trsf from gp.

◆ X()

constexpr double gp_Vec2d::X ( ) const

inlineconstexprnoexcept

For this vector, returns its X coordinate.

◆ XY()

constexpr const gp_XY & gp_Vec2d::XY ( ) const

inlineconstexprnoexcept

For this vector, returns its two coordinates as a number pair.

◆ Y()

constexpr double gp_Vec2d::Y ( ) const

inlineconstexprnoexcept

For this vector, returns its Y coordinate.

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

gp_Vec2d.hxx

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ gp_Vec2d() [1/5]

◆ gp_Vec2d() [2/5]

◆ gp_Vec2d() [3/5]

◆ gp_Vec2d() [4/5]

◆ gp_Vec2d() [5/5]

Member Function Documentation

◆ Add()

◆ Added()

◆ Angle()

◆ Coord() [1/2]

◆ Coord() [2/2]

◆ Crossed()

◆ CrossMagnitude()

◆ CrossSquareMagnitude()

◆ Divide()

◆ Divided()

◆ Dot()

◆ GetNormal()

◆ IsEqual()

◆ IsNormal()

◆ IsOpposite()

◆ IsParallel()

◆ Magnitude()

◆ Mirror() [1/2]

◆ Mirror() [2/2]

◆ Mirrored() [1/2]

◆ Mirrored() [2/2]

◆ Multiplied()

◆ Multiply()

◆ Normalize()

◆ Normalized()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator*=()

◆ operator+()

◆ operator+=()

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator-=()

◆ operator/()

◆ operator/=()

◆ operator^()

◆ Reverse()

◆ Reversed()

◆ Rotate()

◆ Rotated()

◆ Scale()

◆ Scaled()

◆ SetCoord() [1/2]

◆ SetCoord() [2/2]

◆ SetLinearForm() [1/4]

◆ SetLinearForm() [2/4]

◆ SetLinearForm() [3/4]

◆ SetLinearForm() [4/4]

◆ SetX()

◆ SetXY()

◆ SetY()

◆ SquareMagnitude()

◆ Subtract()

◆ Subtracted()

◆ Transform()

◆ Transformed()

◆ X()

◆ XY()

◆ Y()