Open CASCADE Technology  7.3.1.dev
Public Member Functions
gp_Vec Class Reference

Defines a non-persistent vector in 3D space. More...

#include <gp_Vec.hxx>

Public Member Functions

 gp_Vec ()
 Creates a zero vector. More...
 
 gp_Vec (const gp_Dir &V)
 Creates a unitary vector from a direction V. More...
 
 gp_Vec (const gp_XYZ &Coord)
 Creates a vector with a triplet of coordinates. More...
 
 gp_Vec (const Standard_Real Xv, const Standard_Real Yv, const Standard_Real Zv)
 Creates a point with its three cartesian coordinates. More...
 
 gp_Vec (const gp_Pnt &P1, const gp_Pnt &P2)
 Creates a vector from two points. The length of the vector is the distance between P1 and P2. More...
 
void SetCoord (const Standard_Integer Index, const Standard_Real Xi)
 Changes the coordinate of range Index Index = 1 => X is modified Index = 2 => Y is modified Index = 3 => Z is modified Raised if Index != {1, 2, 3}. More...
 
void SetCoord (const Standard_Real Xv, const Standard_Real Yv, const Standard_Real Zv)
 For this vector, assigns. More...
 
void SetX (const Standard_Real X)
 Assigns the given value to the X coordinate of this vector. More...
 
void SetY (const Standard_Real Y)
 Assigns the given value to the X coordinate of this vector. More...
 
void SetZ (const Standard_Real Z)
 Assigns the given value to the X coordinate of this vector. More...
 
void SetXYZ (const gp_XYZ &Coord)
 Assigns the three coordinates of Coord to this vector. More...
 
Standard_Real Coord (const Standard_Integer Index) const
 Returns the coordinate of range Index : Index = 1 => X is returned Index = 2 => Y is returned Index = 3 => Z is returned Raised if Index != {1, 2, 3}. More...
 
void Coord (Standard_Real &Xv, Standard_Real &Yv, Standard_Real &Zv) const
 For this vector returns its three coordinates Xv, Yv, and Zvinline. More...
 
Standard_Real X () const
 For this vector, returns its X coordinate. More...
 
Standard_Real Y () const
 For this vector, returns its Y coordinate. More...
 
Standard_Real Z () const
 For this vector, returns its Z coordinate. More...
 
const gp_XYZXYZ () const
 For this vector, returns. More...
 
Standard_Boolean IsEqual (const gp_Vec &Other, const Standard_Real LinearTolerance, const Standard_Real AngularTolerance) const
 Returns True if the two vectors have the same magnitude value and the same direction. The precision values are LinearTolerance for the magnitude and AngularTolerance for the direction. More...
 
Standard_Boolean IsNormal (const gp_Vec &Other, const Standard_Real AngularTolerance) const
 Returns True if abs(<me>.Angle(Other) - PI/2.) <= AngularTolerance Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or Other.Magnitude() <= Resolution from gp. More...
 
Standard_Boolean IsOpposite (const gp_Vec &Other, const Standard_Real AngularTolerance) const
 Returns True if PI - <me>.Angle(Other) <= AngularTolerance Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or Other.Magnitude() <= Resolution from gp. More...
 
Standard_Boolean IsParallel (const gp_Vec &Other, const Standard_Real AngularTolerance) const
 Returns True if Angle(<me>, Other) <= AngularTolerance or PI - Angle(<me>, Other) <= AngularTolerance This definition means that two parallel vectors cannot define a plane but two vectors with opposite directions are considered as parallel. Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or Other.Magnitude() <= Resolution from gp. More...
 
Standard_Real Angle (const gp_Vec &Other) const
 Computes the angular value between <me> and <Other> Returns the angle value between 0 and PI in radian. Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution from gp or Other.Magnitude() <= Resolution because the angular value is indefinite if one of the vectors has a null magnitude. More...
 
Standard_Real AngleWithRef (const gp_Vec &Other, const gp_Vec &VRef) const
 Computes the angle, in radians, between this vector and vector Other. The result is a value between -Pi and Pi. For this, VRef defines the positive sense of rotation: the angular value is positive, if the cross product this ^ Other has the same orientation as VRef relative to the plane defined by the vectors this and Other. Otherwise, the angular value is negative. Exceptions gp_VectorWithNullMagnitude if the magnitude of this vector, the vector Other, or the vector VRef is less than or equal to gp::Resolution(). Standard_DomainError if this vector, the vector Other, and the vector VRef are coplanar, unless this vector and the vector Other are parallel. More...
 
Standard_Real Magnitude () const
 Computes the magnitude of this vector. More...
 
Standard_Real SquareMagnitude () const
 Computes the square magnitude of this vector. More...
 
void Add (const gp_Vec &Other)
 Adds two vectors. More...
 
void operator+= (const gp_Vec &Other)
 
gp_Vec Added (const gp_Vec &Other) const
 Adds two vectors. More...
 
gp_Vec operator+ (const gp_Vec &Other) const
 
void Subtract (const gp_Vec &Right)
 Subtracts two vectors. More...
 
void operator-= (const gp_Vec &Right)
 
gp_Vec Subtracted (const gp_Vec &Right) const
 Subtracts two vectors. More...
 
gp_Vec operator- (const gp_Vec &Right) const
 
void Multiply (const Standard_Real Scalar)
 Multiplies a vector by a scalar. More...
 
void operator*= (const Standard_Real Scalar)
 
gp_Vec Multiplied (const Standard_Real Scalar) const
 Multiplies a vector by a scalar. More...
 
gp_Vec operator* (const Standard_Real Scalar) const
 
void Divide (const Standard_Real Scalar)
 Divides a vector by a scalar. More...
 
void operator/= (const Standard_Real Scalar)
 
gp_Vec Divided (const Standard_Real Scalar) const
 Divides a vector by a scalar. More...
 
gp_Vec operator/ (const Standard_Real Scalar) const
 
void Cross (const gp_Vec &Right)
 computes the cross product between two vectors More...
 
void operator^= (const gp_Vec &Right)
 
gp_Vec Crossed (const gp_Vec &Right) const
 computes the cross product between two vectors More...
 
gp_Vec operator^ (const gp_Vec &Right) const
 
Standard_Real CrossMagnitude (const gp_Vec &Right) const
 Computes the magnitude of the cross product between <me> and Right. Returns || <me> ^ Right ||. More...
 
Standard_Real CrossSquareMagnitude (const gp_Vec &Right) const
 Computes the square magnitude of the cross product between <me> and Right. Returns || <me> ^ Right ||**2. More...
 
void CrossCross (const gp_Vec &V1, const gp_Vec &V2)
 Computes the triple vector product. <me> ^= (V1 ^ V2) More...
 
gp_Vec CrossCrossed (const gp_Vec &V1, const gp_Vec &V2) const
 Computes the triple vector product. <me> ^ (V1 ^ V2) More...
 
Standard_Real Dot (const gp_Vec &Other) const
 computes the scalar product More...
 
Standard_Real operator* (const gp_Vec &Other) const
 
Standard_Real DotCross (const gp_Vec &V1, const gp_Vec &V2) const
 Computes the triple scalar product <me> * (V1 ^ V2). More...
 
void Normalize ()
 normalizes a vector Raises an exception if the magnitude of the vector is lower or equal to Resolution from gp. More...
 
gp_Vec Normalized () const
 normalizes a vector Raises an exception if the magnitude of the vector is lower or equal to Resolution from gp. More...
 
void Reverse ()
 Reverses the direction of a vector. More...
 
gp_Vec Reversed () const
 Reverses the direction of a vector. More...
 
gp_Vec operator- () const
 
void SetLinearForm (const Standard_Real A1, const gp_Vec &V1, const Standard_Real A2, const gp_Vec &V2, const Standard_Real A3, const gp_Vec &V3, const gp_Vec &V4)
 <me> is set to the following linear form : A1 * V1 + A2 * V2 + A3 * V3 + V4 More...
 
void SetLinearForm (const Standard_Real A1, const gp_Vec &V1, const Standard_Real A2, const gp_Vec &V2, const Standard_Real A3, const gp_Vec &V3)
 <me> is set to the following linear form : A1 * V1 + A2 * V2 + A3 * V3 More...
 
void SetLinearForm (const Standard_Real A1, const gp_Vec &V1, const Standard_Real A2, const gp_Vec &V2, const gp_Vec &V3)
 <me> is set to the following linear form : A1 * V1 + A2 * V2 + V3 More...
 
void SetLinearForm (const Standard_Real A1, const gp_Vec &V1, const Standard_Real A2, const gp_Vec &V2)
 <me> is set to the following linear form : A1 * V1 + A2 * V2 More...
 
void SetLinearForm (const Standard_Real A1, const gp_Vec &V1, const gp_Vec &V2)
 <me> is set to the following linear form : A1 * V1 + V2 More...
 
void SetLinearForm (const gp_Vec &V1, const gp_Vec &V2)
 <me> is set to the following linear form : V1 + V2 More...
 
void Mirror (const gp_Vec &V)
 
gp_Vec Mirrored (const gp_Vec &V) const
 Performs the symmetrical transformation of a vector with respect to the vector V which is the center of the symmetry. More...
 
void Mirror (const gp_Ax1 &A1)
 
gp_Vec Mirrored (const gp_Ax1 &A1) const
 Performs the symmetrical transformation of a vector with respect to an axis placement which is the axis of the symmetry. More...
 
void Mirror (const gp_Ax2 &A2)
 
gp_Vec Mirrored (const gp_Ax2 &A2) const
 Performs the symmetrical transformation of a vector with respect to a plane. The axis placement A2 locates the plane of the symmetry : (Location, XDirection, YDirection). More...
 
void Rotate (const gp_Ax1 &A1, const Standard_Real Ang)
 
gp_Vec Rotated (const gp_Ax1 &A1, const Standard_Real Ang) const
 Rotates a vector. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians. More...
 
void Scale (const Standard_Real S)
 
gp_Vec Scaled (const Standard_Real S) const
 Scales a vector. S is the scaling value. More...
 
void Transform (const gp_Trsf &T)
 Transforms a vector with the transformation T. More...
 
gp_Vec Transformed (const gp_Trsf &T) const
 Transforms a vector with the transformation T. More...
 

Detailed Description

Defines a non-persistent vector in 3D space.

Constructor & Destructor Documentation

◆ gp_Vec() [1/5]

gp_Vec::gp_Vec ( )

Creates a zero vector.

◆ gp_Vec() [2/5]

gp_Vec::gp_Vec ( const gp_Dir V)

Creates a unitary vector from a direction V.

◆ gp_Vec() [3/5]

gp_Vec::gp_Vec ( const gp_XYZ Coord)

Creates a vector with a triplet of coordinates.

◆ gp_Vec() [4/5]

gp_Vec::gp_Vec ( const Standard_Real  Xv,
const Standard_Real  Yv,
const Standard_Real  Zv 
)

Creates a point with its three cartesian coordinates.

◆ gp_Vec() [5/5]

gp_Vec::gp_Vec ( const gp_Pnt P1,
const gp_Pnt P2 
)

Creates a vector from two points. The length of the vector is the distance between P1 and P2.

Member Function Documentation

◆ Add()

void gp_Vec::Add ( const gp_Vec Other)

Adds two vectors.

◆ Added()

gp_Vec gp_Vec::Added ( const gp_Vec Other) const

Adds two vectors.

◆ Angle()

Standard_Real gp_Vec::Angle ( const gp_Vec Other) const

Computes the angular value between <me> and <Other> Returns the angle value between 0 and PI in radian. Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution from gp or Other.Magnitude() <= Resolution because the angular value is indefinite if one of the vectors has a null magnitude.

◆ AngleWithRef()

Standard_Real gp_Vec::AngleWithRef ( const gp_Vec Other,
const gp_Vec VRef 
) const

Computes the angle, in radians, between this vector and vector Other. The result is a value between -Pi and Pi. For this, VRef defines the positive sense of rotation: the angular value is positive, if the cross product this ^ Other has the same orientation as VRef relative to the plane defined by the vectors this and Other. Otherwise, the angular value is negative. Exceptions gp_VectorWithNullMagnitude if the magnitude of this vector, the vector Other, or the vector VRef is less than or equal to gp::Resolution(). Standard_DomainError if this vector, the vector Other, and the vector VRef are coplanar, unless this vector and the vector Other are parallel.

◆ Coord() [1/2]

Standard_Real gp_Vec::Coord ( const Standard_Integer  Index) const

Returns the coordinate of range Index : Index = 1 => X is returned Index = 2 => Y is returned Index = 3 => Z is returned Raised if Index != {1, 2, 3}.

◆ Coord() [2/2]

void gp_Vec::Coord ( Standard_Real Xv,
Standard_Real Yv,
Standard_Real Zv 
) const

For this vector returns its three coordinates Xv, Yv, and Zvinline.

◆ Cross()

void gp_Vec::Cross ( const gp_Vec Right)

computes the cross product between two vectors

◆ CrossCross()

void gp_Vec::CrossCross ( const gp_Vec V1,
const gp_Vec V2 
)

Computes the triple vector product. <me> ^= (V1 ^ V2)

◆ CrossCrossed()

gp_Vec gp_Vec::CrossCrossed ( const gp_Vec V1,
const gp_Vec V2 
) const

Computes the triple vector product. <me> ^ (V1 ^ V2)

◆ Crossed()

gp_Vec gp_Vec::Crossed ( const gp_Vec Right) const

computes the cross product between two vectors

◆ CrossMagnitude()

Standard_Real gp_Vec::CrossMagnitude ( const gp_Vec Right) const

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

◆ CrossSquareMagnitude()

Standard_Real gp_Vec::CrossSquareMagnitude ( const gp_Vec Right) const

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

◆ Divide()

void gp_Vec::Divide ( const Standard_Real  Scalar)

Divides a vector by a scalar.

◆ Divided()

gp_Vec gp_Vec::Divided ( const Standard_Real  Scalar) const

Divides a vector by a scalar.

◆ Dot()

Standard_Real gp_Vec::Dot ( const gp_Vec Other) const

computes the scalar product

◆ DotCross()

Standard_Real gp_Vec::DotCross ( const gp_Vec V1,
const gp_Vec V2 
) const

Computes the triple scalar product <me> * (V1 ^ V2).

◆ IsEqual()

Standard_Boolean gp_Vec::IsEqual ( const gp_Vec Other,
const Standard_Real  LinearTolerance,
const Standard_Real  AngularTolerance 
) const

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

◆ IsNormal()

Standard_Boolean gp_Vec::IsNormal ( const gp_Vec Other,
const Standard_Real  AngularTolerance 
) const

Returns True if abs(<me>.Angle(Other) - PI/2.) <= AngularTolerance Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or Other.Magnitude() <= Resolution from gp.

◆ IsOpposite()

Standard_Boolean gp_Vec::IsOpposite ( const gp_Vec Other,
const Standard_Real  AngularTolerance 
) const

Returns True if PI - <me>.Angle(Other) <= AngularTolerance Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or Other.Magnitude() <= Resolution from gp.

◆ IsParallel()

Standard_Boolean gp_Vec::IsParallel ( const gp_Vec Other,
const Standard_Real  AngularTolerance 
) const

Returns True if Angle(<me>, Other) <= AngularTolerance or PI - Angle(<me>, Other) <= AngularTolerance This definition means that two parallel vectors cannot define a plane but two vectors with opposite directions are considered as parallel. Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or Other.Magnitude() <= Resolution from gp.

◆ Magnitude()

Standard_Real gp_Vec::Magnitude ( ) const

Computes the magnitude of this vector.

◆ Mirror() [1/3]

void gp_Vec::Mirror ( const gp_Vec V)

◆ Mirror() [2/3]

void gp_Vec::Mirror ( const gp_Ax1 A1)

◆ Mirror() [3/3]

void gp_Vec::Mirror ( const gp_Ax2 A2)

◆ Mirrored() [1/3]

gp_Vec gp_Vec::Mirrored ( const gp_Vec V) const

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

◆ Mirrored() [2/3]

gp_Vec gp_Vec::Mirrored ( const gp_Ax1 A1) const

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

◆ Mirrored() [3/3]

gp_Vec gp_Vec::Mirrored ( const gp_Ax2 A2) const

Performs the symmetrical transformation of a vector with respect to a plane. The axis placement A2 locates the plane of the symmetry : (Location, XDirection, YDirection).

◆ Multiplied()

gp_Vec gp_Vec::Multiplied ( const Standard_Real  Scalar) const

Multiplies a vector by a scalar.

◆ Multiply()

void gp_Vec::Multiply ( const Standard_Real  Scalar)

Multiplies a vector by a scalar.

◆ Normalize()

void gp_Vec::Normalize ( )

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

◆ Normalized()

gp_Vec gp_Vec::Normalized ( ) const

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

◆ operator*() [1/2]

gp_Vec gp_Vec::operator* ( const Standard_Real  Scalar) const
inline

◆ operator*() [2/2]

Standard_Real gp_Vec::operator* ( const gp_Vec Other) const
inline

◆ operator*=()

void gp_Vec::operator*= ( const Standard_Real  Scalar)
inline

◆ operator+()

gp_Vec gp_Vec::operator+ ( const gp_Vec Other) const
inline

◆ operator+=()

void gp_Vec::operator+= ( const gp_Vec Other)
inline

◆ operator-() [1/2]

gp_Vec gp_Vec::operator- ( const gp_Vec Right) const
inline

◆ operator-() [2/2]

gp_Vec gp_Vec::operator- ( ) const
inline

◆ operator-=()

void gp_Vec::operator-= ( const gp_Vec Right)
inline

◆ operator/()

gp_Vec gp_Vec::operator/ ( const Standard_Real  Scalar) const
inline

◆ operator/=()

void gp_Vec::operator/= ( const Standard_Real  Scalar)
inline

◆ operator^()

gp_Vec gp_Vec::operator^ ( const gp_Vec Right) const
inline

◆ operator^=()

void gp_Vec::operator^= ( const gp_Vec Right)
inline

◆ Reverse()

void gp_Vec::Reverse ( )

Reverses the direction of a vector.

◆ Reversed()

gp_Vec gp_Vec::Reversed ( ) const

Reverses the direction of a vector.

◆ Rotate()

void gp_Vec::Rotate ( const gp_Ax1 A1,
const Standard_Real  Ang 
)

◆ Rotated()

gp_Vec gp_Vec::Rotated ( const gp_Ax1 A1,
const Standard_Real  Ang 
) const

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

◆ Scale()

void gp_Vec::Scale ( const Standard_Real  S)

◆ Scaled()

gp_Vec gp_Vec::Scaled ( const Standard_Real  S) const

Scales a vector. S is the scaling value.

◆ SetCoord() [1/2]

void gp_Vec::SetCoord ( const Standard_Integer  Index,
const Standard_Real  Xi 
)

Changes the coordinate of range Index Index = 1 => X is modified Index = 2 => Y is modified Index = 3 => Z is modified Raised if Index != {1, 2, 3}.

◆ SetCoord() [2/2]

void gp_Vec::SetCoord ( const Standard_Real  Xv,
const Standard_Real  Yv,
const Standard_Real  Zv 
)

For this vector, assigns.

  • the values Xv, Yv and Zv to its three coordinates.

◆ SetLinearForm() [1/6]

void gp_Vec::SetLinearForm ( const Standard_Real  A1,
const gp_Vec V1,
const Standard_Real  A2,
const gp_Vec V2,
const Standard_Real  A3,
const gp_Vec V3,
const gp_Vec V4 
)

<me> is set to the following linear form : A1 * V1 + A2 * V2 + A3 * V3 + V4

◆ SetLinearForm() [2/6]

void gp_Vec::SetLinearForm ( const Standard_Real  A1,
const gp_Vec V1,
const Standard_Real  A2,
const gp_Vec V2,
const Standard_Real  A3,
const gp_Vec V3 
)

<me> is set to the following linear form : A1 * V1 + A2 * V2 + A3 * V3

◆ SetLinearForm() [3/6]

void gp_Vec::SetLinearForm ( const Standard_Real  A1,
const gp_Vec V1,
const Standard_Real  A2,
const gp_Vec V2,
const gp_Vec V3 
)

<me> is set to the following linear form : A1 * V1 + A2 * V2 + V3

◆ SetLinearForm() [4/6]

void gp_Vec::SetLinearForm ( const Standard_Real  A1,
const gp_Vec V1,
const Standard_Real  A2,
const gp_Vec V2 
)

<me> is set to the following linear form : A1 * V1 + A2 * V2

◆ SetLinearForm() [5/6]

void gp_Vec::SetLinearForm ( const Standard_Real  A1,
const gp_Vec V1,
const gp_Vec V2 
)

<me> is set to the following linear form : A1 * V1 + V2

◆ SetLinearForm() [6/6]

void gp_Vec::SetLinearForm ( const gp_Vec V1,
const gp_Vec V2 
)

<me> is set to the following linear form : V1 + V2

◆ SetX()

void gp_Vec::SetX ( const Standard_Real  X)

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

◆ SetXYZ()

void gp_Vec::SetXYZ ( const gp_XYZ Coord)

Assigns the three coordinates of Coord to this vector.

◆ SetY()

void gp_Vec::SetY ( const Standard_Real  Y)

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

◆ SetZ()

void gp_Vec::SetZ ( const Standard_Real  Z)

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

◆ SquareMagnitude()

Standard_Real gp_Vec::SquareMagnitude ( ) const

Computes the square magnitude of this vector.

◆ Subtract()

void gp_Vec::Subtract ( const gp_Vec Right)

Subtracts two vectors.

◆ Subtracted()

gp_Vec gp_Vec::Subtracted ( const gp_Vec Right) const

Subtracts two vectors.

◆ Transform()

void gp_Vec::Transform ( const gp_Trsf T)

Transforms a vector with the transformation T.

◆ Transformed()

gp_Vec gp_Vec::Transformed ( const gp_Trsf T) const

Transforms a vector with the transformation T.

◆ X()

Standard_Real gp_Vec::X ( ) const

For this vector, returns its X coordinate.

◆ XYZ()

const gp_XYZ& gp_Vec::XYZ ( ) const

For this vector, returns.

  • its three coordinates as a number triple

◆ Y()

Standard_Real gp_Vec::Y ( ) const

For this vector, returns its Y coordinate.

◆ Z()

Standard_Real gp_Vec::Z ( ) const

For this vector, returns its Z coordinate.


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