Detailed Description

A 3-element vector that is represented by double precision floating point x,y,z coordinates.

In this API vectors are considered as row vectors as described in [Foley, J., and A. van Dam, Fundamentals of Interactive Computer Graphics, Addison-Wesley, Reading, MA, 1982]. This is important when you multiply a CVector3 by a CMatrix3 or a CMatrix4.

See also:: CMatrix3, CMatrix4, CTransformation

Example:

        using namespace XSI;
        using namespace MATH;
        Application app;
        Model root = app.GetActiveSceneRoot();

        X3DObject myCube;
        root.AddGeometry( L"Cube", L"MeshSurface",L"",myCube );

        KinematicState  globalKinematicState = myCube.GetKinematics().GetGlobal();
        globalKinematicState.PutParameterValue(L"posy", 4.0);
        globalKinematicState.PutParameterValue(L"posx", 2.0);

        X3DObject myCube2;
        myCube.AddGeometry( L"Cube", L"MeshSurface",L"",myCube2);

        globalKinematicState = myCube2.GetKinematics().GetGlobal();
        globalKinematicState.PutParameterValue(L"posz",3.0);
        globalKinematicState.PutParameterValue(L"rotx",45.0);

        CTransformation localTransformation =
                                myCube.GetKinematics().GetLocal().GetTransform();
        CTransformation globalTransformation = globalKinematicState.GetTransform();

        CVector3 translation(localTransformation.GetTranslation());

        app.LogMessage(L"The translation of the cube relative to its parent: x " +
                        CValue(translation.GetX()).GetAsText() +
                        L" y " +
                        CValue(translation.GetY()).GetAsText() +
                        L" z " +
                        CValue(translation.GetZ()).GetAsText());

        MapObjectPoseToWorldSpace(  globalTransformation, localTransformation);

        translation = localTransformation.GetTranslation();

        app.LogMessage(L"The translation of the cube relative to the origin of the universe: x " +
                      CValue(translation.GetX()).GetAsText() +
                      L" y " + CValue(translation.GetY()).GetAsText() +
                      L" z " + CValue(translation.GetZ()).GetAsText());

#include <xsi_vector3.h>

List of all members.

Public Member Functions
SICPPSDK_INLINE	CVector3 ()
SICPPSDK_INLINE	CVector3 (double in_dX, double in_dY, double in_dZ)
SICPPSDK_INLINE	CVector3 (const CVector3 &in_vector3)
SICPPSDK_INLINE	~CVector3 ()
SICPPSDK_INLINE CVector3 &	operator= (const CVector3 &in_vector3)
SICPPSDK_INLINE bool	operator== (const CVector3 &in_vector3) const
SICPPSDK_INLINE bool	operator!= (const CVector3 &in_vector3) const
SICPPSDK_INLINE CVector3 &	operator~ ()
SICPPSDK_INLINE CVector3 &	operator+= (const CVector3 &in_vector3)
SICPPSDK_INLINE CVector3 &	operator-= (const CVector3 &in_vector3)
SICPPSDK_INLINE CVector3 &	operator*= (const CMatrix3 &in_matrix3)
SICPPSDK_INLINE CVector3 &	operator*= (const CMatrix4 &in_matrix4)
SICPPSDK_INLINE CVector3 &	operator*= (const CTransformation &in_transformation)
SICPPSDK_INLINE CVector3 &	operator*= (const double &in_dAlpha)
SICPPSDK_INLINE double	operator[] (const short &in_sIndex)
SICPPSDK_INLINE CVector3 &	MulByMatrix3InPlace (const CMatrix3 &in_matrix3)
SICPPSDK_INLINE CVector3 &	MulByMatrix3 (const CVector3 &in_vector3, const CMatrix3 &in_matrix3)
SICPPSDK_INLINE CVector3 &	MulByMatrix4InPlace (const CMatrix4 &in_matrix4)
SICPPSDK_INLINE CVector3 &	MulByMatrix4 (const CVector3 &in_vector3, const CMatrix4 &in_matrix4)
SICPPSDK_INLINE CVector3 &	MulByTransformationInPlace (const CTransformation &in_transformation)
CVector3 &	MulByTransformation (const CVector3 &in_vector3, const CTransformation &in_transformation)
SICPPSDK_INLINE CVector3 &	PutNull ()
SICPPSDK_INLINE short	GetMaxComponentIndex () const
SICPPSDK_INLINE double	GetMaxComponent () const
SICPPSDK_INLINE short	GetMinComponentIndex () const
SICPPSDK_INLINE double	GetMinComponent () const
SICPPSDK_INLINE double	GetLength () const
SICPPSDK_INLINE double	GetLengthSquared () const
CStatus	NormalizeInPlace ()
CStatus	Normalize (const CVector3 &in_vector3)
SICPPSDK_INLINE double	Dot (const CVector3 &in_vector3) const
SICPPSDK_INLINE CVector3 &	Cross (const CVector3 &in_vector3A, const CVector3 &in_vector3B)
double	GetAngle (const CVector3 &in_vector3) const
SICPPSDK_INLINE CVector3 &	LinearlyInterpolate (const CVector3 &in_vector3A, const CVector3 &in_vector3B, double in_dAlpha)
CVector3 &	AbsoluteInPlace ()
CVector3 &	Absolute (const CVector3 &in_vector3)
CVector3 &	ClampInPlace (double in_dMinValue, double in_dMaxValue)
SICPPSDK_INLINE CVector3 &	Clamp (double in_dMinValue, double in_dMaxValue, const CVector3 &in_vector3)
SICPPSDK_INLINE bool	EpsilonEquals (const CVector3 &in_vector3, double in_dEpsilon) const
SICPPSDK_INLINE bool	Equals (const CVector3 &in_vector3) const
SICPPSDK_INLINE CVector3 &	ScaleAddInPlace (double in_dS, const CVector3 &in_vector3)
SICPPSDK_INLINE CVector3 &	ScaleAdd (double in_dS, const CVector3 &in_vector3A, const CVector3 &in_vector3B)
SICPPSDK_INLINE CVector3 &	ScaleInPlace (double in_dAlpha)
SICPPSDK_INLINE CVector3 &	Scale (double in_dAlpha, const CVector3 &in_vector3)
SICPPSDK_INLINE CVector3 &	NegateInPlace ()
SICPPSDK_INLINE CVector3 &	Negate (const CVector3 &in_vector3)
SICPPSDK_INLINE CVector3 &	SubInPlace (const CVector3 &in_vector3)
SICPPSDK_INLINE CVector3 &	Sub (const CVector3 &in_vector3A, const CVector3 &in_vector3B)
SICPPSDK_INLINE CVector3 &	AddInPlace (const CVector3 &in_vector3)
SICPPSDK_INLINE CVector3 &	Add (const CVector3 &in_vector3A, const CVector3 &in_vector3B)
void	Get (double &io_dX, double &io_dY, double &io_dZ) const
SICPPSDK_INLINE CVector3 &	Set (double in_dX, double in_dY, double in_dZ)
SICPPSDK_INLINE double	GetZ () const
SICPPSDK_INLINE CVector3 &	PutZ (double in_dZ)
SICPPSDK_INLINE double	GetY () const
SICPPSDK_INLINE CVector3 &	PutY (double in_dY)
SICPPSDK_INLINE double	GetX () const
SICPPSDK_INLINE CVector3 &	PutX (double in_dX)

Constructor & Destructor Documentation

SICPPSDK_INLINE CVector3 ( )

Default constructor.

SICPPSDK_INLINE CVector3	(	double	in_dX,
		double	in_dY,
		double	in_dZ
	)

Constructor.

Parameters:

in_dX	Value of the x component
in_dY	Value of the y component
in_dZ	Value of the z component

SICPPSDK_INLINE CVector3 ( const CVector3 & in_vector3 )

Copy constructor.

Parameters:

in_vector3 constant class object.

SICPPSDK_INLINE ~CVector3 ( )

Default destructor.

Member Function Documentation

SICPPSDK_INLINE CVector3 & operator= ( const CVector3 & in_vector3 )

Assignment operator.

Parameters:

in_vector3 constant class object.

Returns:: A reference to this vector.

SICPPSDK_INLINE bool operator== ( const CVector3 & in_vector3 ) const

Equality operator tests the strict equality of this CVector3 with the specified vector3.

Parameters:

in_vector3 Operand vector.

Returns:: true if equal else false.

See also:: CVector3::Equals

SICPPSDK_INLINE bool operator!= ( const CVector3 & in_vector3 ) const

Inequality operator tests the strict inequality of this CVector3 with the specified vector3.

Parameters:

in_vector3 Operand vector.

Returns:: true if equal else false.

See also:: CVector3::Equals

SICPPSDK_INLINE CVector3 & operator~ ( )

Negates this vector (this = - this).

Returns:: A reference to this vector.

See also:: CVector3::NegateInPlace

SICPPSDK_INLINE CVector3 & operator+= ( const CVector3 & in_vector3 )

Adds the input vector to this one (this = this + in_vector3)

Parameters:

in_vector3 Operand vector..

Returns:: A reference to this vector.

See also:: CVector3::AddInPlace

SICPPSDK_INLINE CVector3 & operator-= ( const CVector3 & in_vector3 )

Subtracts the input vector (in_vector3) from this one (this = this - in_vector3).

Parameters:

in_vector3 Operand vector.

Returns:: A reference to this vector.

See also:: CVector3::SubInPlace

SICPPSDK_INLINE CVector3 & operator*= ( const CMatrix3 & in_matrix3 )

Right-multiplies this vector by the matrix m in place (this = this . m ).

Parameters:

in_matrix3 Operand matrix.

Returns:: A reference to this vector.

See also:: CVector3::MulByMatrix3InPlace

SICPPSDK_INLINE CVector3 & operator*= ( const CMatrix4 & in_matrix4 )

Right-multiplies this vector by the matrix m in place (this = this . m ).

Parameters:

in_matrix4 Operand matrix.

Returns:: A reference to this vector.

See also:: CVector3::MulByMatrix4InPlace

SICPPSDK_INLINE CVector3 & operator*= ( const CTransformation & in_transformation )

Right-multiplies this vector by the transformation t in place (this = this . t).

Parameters:

in_transformation transformation operand.

Returns:: A reference to this vector.

See also:: CVector3::MulByTransformationInPlace

SICPPSDK_INLINE CVector3 & operator*= ( const double & in_dAlpha )

Scales this vector by the input scalar (alpha) (this = alpha * this).

Parameters:

in_dAlpha Scalar multiplicator.

Returns:: A reference to this vector.

See also:: CVector3::ScaleInPlace

SICPPSDK_INLINE double operator[] ( const short & in_sIndex )

Read-only accessors to the X,Y,Z components.

Parameters:

in_sIndex 0,1,2 for X,Y and Z values.

Returns:: The value of the specified component. If the index supplied is out of range the function returns DBL_MAX.

See also:: CVector3::GetX(), CVector3::GetY(), CVector3::GetZ()

SICPPSDK_INLINE CVector3 & MulByMatrix3InPlace ( const CMatrix3 & in_matrix3 )

Right-multiplies this vector by the matrix m in place (this = this . m ).

Parameters:

in_matrix3 Operand matrix.

Returns:: A reference to this vector.

SICPPSDK_INLINE CVector3 & MulByMatrix3	(	const CVector3 &	in_vector3,
		const CMatrix3 &	in_matrix3
	)

Right-multiplies the vector v by the matrix m and store the result in this vector (this = v . m ).

Parameters:

in_vector3	Operand vector
in_matrix3	Operand matrix.

Returns:: A reference to this vector.

SICPPSDK_INLINE CVector3 & MulByMatrix4InPlace ( const CMatrix4 & in_matrix4 )

Right-multiplies this vector by the matrix m in place (this = this . m ).

Parameters:

in_matrix4 Operand matrix.

Returns:: A reference to this vector.

SICPPSDK_INLINE CVector3 & MulByMatrix4	(	const CVector3 &	in_vector3,
		const CMatrix4 &	in_matrix4
	)

Right-multiplies the vector v by the matrix m and store the result in this vector (this = v . m ).

Parameters:

in_vector3	Operand vector
in_matrix4	Operand matrix.

Returns:: A reference to this vector.

SICPPSDK_INLINE CVector3 & MulByTransformationInPlace ( const CTransformation & in_transformation )

Right-multiplies this vector by the transformation t in place (this = this . t).

Parameters:

in_transformation transformation operand.

Returns:: A reference to this vector.

CVector3& MulByTransformation	(	const CVector3 &	in_vector3,
		const CTransformation &	in_transformation
	)

Right-multiplies the vector v by the transformation t and stores the result in this vector (this = v . t ).

Parameters:

in_vector3	transformation operand.
in_transformation	transformation operand.

Returns:: A reference to this vector.

SICPPSDK_INLINE CVector3 & PutNull ( )

Sets this vector to a null vector.

Returns:: A reference to this vector.

SICPPSDK_INLINE short GetMaxComponentIndex ( ) const

Returns the index of the maximum component of this vector.

Returns:: Index of the maximum component of this vector.

SICPPSDK_INLINE double GetMaxComponent ( ) const

Returns the maximum component value of this vector.

Returns:: Maximum component value of this vector.

SICPPSDK_INLINE short GetMinComponentIndex ( ) const

Returns the index of the minimum component of this vector.

Returns:: Index of the minimum component of this vector.

SICPPSDK_INLINE double GetMinComponent ( ) const

Returns the minimum component value of this vector.

Returns:: Minimum component value of this vector.

SICPPSDK_INLINE double GetLength ( ) const

Returns the length of this vector.

Returns:: Length of this vector.

SICPPSDK_INLINE double GetLengthSquared ( ) const

Returns the squared length of this vector.

Returns:: Squared length of this vector.

CStatus NormalizeInPlace ( )

Normalizes this vector in place.

Returns:: CStatus::OK if the normalization has been computed,

CStatus Normalize ( const CVector3 & in_vector3 )

Sets the value of this vector to the normalization of inputed vector.

Parameters:

in_vector3 vector operand.

Returns:: CStatus::OK if the normalization has been computed.

SICPPSDK_INLINE double Dot ( const CVector3 & in_vector3 ) const

Returns the dot product of this vector and the inputed vector.

Parameters:

in_vector3 vector operand.

Returns:: Dot product of this vector and vector in_vector3.

SICPPSDK_INLINE CVector3 & Cross	(	const CVector3 &	in_vector3A,
		const CVector3 &	in_vector3B
	)

Sets this vector to the vector cross product of vectors A and B.

Parameters:

in_vector3A	vector operand.
in_vector3B	vector operand.

Returns:: A reference to this vector.

double GetAngle ( const CVector3 & in_vector3 ) const

Returns the angle (in radians) between this vector and the inputed vector.

Parameters:

in_vector3 vector operand.

Returns:: Angle (in radians) between this vector and the inputed vector.

SICPPSDK_INLINE CVector3 & LinearlyInterpolate	(	const CVector3 &	in_vector3A,
		const CVector3 &	in_vector3B,
		double	in_dAlpha
	)

Linearly interpolates between vectors A and B and places the result into this vector: this = (1-alpha)*A + alpha*B.

Parameters:

in_vector3A	vector operand.
in_vector3B	vector operand.
in_dAlpha	Scalar interpolator Possible Values: [0.0, 1.0] Domain of validity

Returns:: A reference to this vector.

CVector3& AbsoluteInPlace ( )

Sets each component of this vector3 to its absolute value.

Returns:: A reference to this vector.

CVector3& Absolute ( const CVector3 & in_vector3 )

Sets each component of the specified MATH::CVector3 to its absolute value and places the modified values into this vector.

Parameters:

in_vector3 Vector to convert to absolute

Returns:: A reference to this vector.

CVector3& ClampInPlace	(	double	in_dMinValue,
		double	in_dMaxValue
	)

Clamps this vector3's components to the range [MinValue, MaxValue].

Parameters:

in_dMinValue	Lower bound of the clamping domain.
in_dMaxValue	Higher bound of the clamping domain.

Returns:: A reference to this vector.

SICPPSDK_INLINE CVector3& Clamp	(	double	in_dMinValue,
		double	in_dMaxValue,
		const CVector3 &	in_vector3
	)

Clamps the specified vector3's components to the range [MinValue, MaxValue] and places the values into this vector3.

Parameters:

in_dMinValue	Lower bound of the clamping domain.
in_dMaxValue	Higher bound of the clamping domain.
in_vector3	Operand vector.

Returns:: A reference to this vector.

SICPPSDK_INLINE bool EpsilonEquals	(	const CVector3 &	in_vector3,
		double	in_dEpsilon
	)		const

Tests the equality of this vector3 with the specified vector3, with a tolerance of Epsilon.

Parameters:

in_vector3	Operand vector.
in_dEpsilon	Error margin Possible Values: [0, +INF[ should be a positive value

Returns:: true if equal else false.

SICPPSDK_INLINE bool Equals ( const CVector3 & in_vector3 ) const

Tests the strict equality of this vector3 with the specified vector3.

Parameters:

in_vector3 Operand vector.

Returns:: true if equal else false.

SICPPSDK_INLINE CVector3 & ScaleAddInPlace	(	double	in_dS,
		const CVector3 &	in_vector3
	)

Sets the value of this vector to the scalar multiplication of itself by s and then adds vector3 v. (this = s*this + v)

Parameters:

in_dS	Scalar multiplicator.
in_vector3	Operand vector.

Returns:: A reference to this vector.

SICPPSDK_INLINE CVector3 & ScaleAdd	(	double	in_dS,
		const CVector3 &	in_vector3A,
		const CVector3 &	in_vector3B
	)

Sets the value of this vector3 to the scalar multiplication of vector3 A by s and then adds vector3 B. (this = s*v1 + v2).

Parameters:

in_dS	Scalar multiplicator.
in_vector3A	Operand vector.
in_vector3B	Operand vector.

Returns:: A reference to this vector.

SICPPSDK_INLINE CVector3 & ScaleInPlace ( double in_dAlpha )

Scales this vector by the input scalar (alpha) (this = alpha * this).

Parameters:

in_dAlpha Scalar multiplicator.

Returns:: A reference to this vector.

SICPPSDK_INLINE CVector3 & Scale	(	double	in_dAlpha,
		const CVector3 &	in_vector3
	)

Scales the input vector (v) by (alpha) store the result into this one (this = alpha * v).

Parameters:

in_dAlpha	Scalar multiplicator.
in_vector3	Operand vector.

Returns:: A reference to this vector.

SICPPSDK_INLINE CVector3 & NegateInPlace ( )

Negates this vector (this = - this).

Returns:: A reference to this vector.

SICPPSDK_INLINE CVector3 & Negate ( const CVector3 & in_vector3 )

Negates the input vector (v) store the result into this one (this = - v).

Parameters:

in_vector3 Operand vector.

Returns:: A reference to this vector.

SICPPSDK_INLINE CVector3 & SubInPlace ( const CVector3 & in_vector3 )

Subtracts the input vector3 (v) from this one (this = this - v).

Parameters:

in_vector3 Operand vector.

Returns:: A reference to this vector.

SICPPSDK_INLINE CVector3 & Sub	(	const CVector3 &	in_vector3A,
		const CVector3 &	in_vector3B
	)

Subtracts the input vector3 (in_vector3B) from the input vector3 (in_vector3A) and stores the result in this one (this = A - B).

Parameters:

in_vector3A	Operand vector.
in_vector3B	Operand vector.

Returns:: A reference to this vector.

SICPPSDK_INLINE CVector3 & AddInPlace ( const CVector3 & in_vector3 )

Adds the input vector to this one (this = this + in_vector3).

Parameters:

in_vector3 Operand vector.

Returns:: A reference to this vector.

SICPPSDK_INLINE CVector3 & Add	(	const CVector3 &	in_vector3A,
		const CVector3 &	in_vector3B
	)

Adds both input vectors and stores the result in this one. (this = A + B)

Parameters:

in_vector3A	Operand vector.
in_vector3B	Operand vector.

Returns:: A reference to this vector.

SICPPSDK_INLINE void Get	(	double &	io_dX,
		double &	io_dY,
		double &	io_dZ
	)		const

Returns the X, Y and Z values of the vector.

Parameters:

io_dX	X value to get in the vector.
io_dY	Y value to get in the vector.
io_dZ	Z value to get in the vector.

SICPPSDK_INLINE CVector3 & Set	(	double	in_dX,
		double	in_dY,
		double	in_dZ
	)

Sets the X, Y and Z values of the vector.

Parameters:

in_dX	X value to set in the vector.
in_dY	Y value to set in the vector.
in_dZ	Z value to set in the vector.

Returns:: A reference to the vector.

SICPPSDK_INLINE double GetZ ( ) const

Returns the Z value of this vector.

Returns:: Z value of this vector.

SICPPSDK_INLINE CVector3 & PutZ ( double in_dZ )

Sets the Z value of this vector.

Parameters:

in_dZ z value.

Returns:: A reference to this vector.

SICPPSDK_INLINE double GetY ( ) const

Returns the Y value of this vector.

Returns:: Y value of this vector.

SICPPSDK_INLINE CVector3 & PutY ( double in_dY )

Sets the Y value of this vector.

Parameters:

in_dY y value.

Returns:: A reference to this vector.

SICPPSDK_INLINE double GetX ( ) const

Returns the X value of this vector.

Returns:: X value of this vector.

SICPPSDK_INLINE CVector3 & PutX ( double in_dX )

Sets the X value of this vector.

Parameters:

in_dX x value.

Returns:: A reference to this vector.

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

xsi_vector3.h

Detailed Description

Public Member Functions

Constructor & Destructor Documentation

Member Function Documentation