Describes how to construct the following elementary transformations
More...

#include <Geom_Transformation.hxx>

Inheritance diagram for Geom_Transformation:

Public Member Functions
	Geom_Transformation ()
	Creates an identity transformation. More...

	Geom_Transformation (const gp_Trsf &T)
	Creates a transient copy of T. More...

void	SetMirror (const gp_Pnt &P)
	Makes the transformation into a symmetrical transformation with respect to a point P. P is the center of the symmetry. More...

void	SetMirror (const gp_Ax1 &A1)
	Makes the transformation into a symmetrical transformation with respect to an axis A1. A1 is the center of the axial symmetry. More...

void	SetMirror (const gp_Ax2 &A2)
	Makes the transformation into a symmetrical transformation with respect to a plane. The plane of the symmetry is defined with the axis placement A2. It is the plane (Location, XDirection, YDirection). More...

void	SetRotation (const gp_Ax1 &A1, const Standard_Real Ang)
	Makes the transformation into a rotation. A1 is the axis rotation and Ang is the angular value of the rotation in radians. More...

void	SetScale (const gp_Pnt &P, const Standard_Real S)
	Makes the transformation into a scale. P is the center of the scale and S is the scaling value. More...

void	SetTransformation (const gp_Ax3 &FromSystem1, const gp_Ax3 &ToSystem2)
	Makes a transformation allowing passage from the coordinate <br> system "FromSystem1" to the coordinate system "ToSystem2". Example : In a C++ implementation : Real x1, y1, z1; // are the coordinates of a point in the // local system FromSystem1 Real x2, y2, z2; // are the coordinates of a point in the // local system ToSystem2 gp_Pnt P1 (x1, y1, z1) Geom_Transformation T; T.SetTransformation (FromSystem1, ToSystem2); gp_Pnt P2 = P1.Transformed (T); P2.Coord (x2, y2, z2); More...

void	SetTransformation (const gp_Ax3 &ToSystem)
	Makes the transformation allowing passage from the basic coordinate system {P(0.,0.,0.), VX (1.,0.,0.), VY (0.,1.,0.), VZ (0., 0. ,1.) } to the local coordinate system defined with the Ax2 ToSystem. Same utilisation as the previous method. FromSystem1 is defaulted to the absolute coordinate system. More...

void	SetTranslation (const gp_Vec &V)
	Makes the transformation into a translation. V is the vector of the translation. More...

void	SetTranslation (const gp_Pnt &P1, const gp_Pnt &P2)
	Makes the transformation into a translation from the point P1 to the point P2. More...

void	SetTrsf (const gp_Trsf &T)
	Converts the gp_Trsf transformation T into this transformation. More...

Standard_Boolean	IsNegative () const
	Checks whether this transformation is an indirect <br> transformation: returns true if the determinant of the matrix of the vectorial part of the transformation is less than 0. More...

gp_TrsfForm	Form () const
	Returns the nature of this transformation as a value <br> of the gp_TrsfForm enumeration. More...

Standard_Real	ScaleFactor () const
	Returns the scale value of the transformation. More...

const gp_Trsf &	Trsf () const
	Returns a non transient copy of <me>. More...

Standard_Real	Value (const Standard_Integer Row, const Standard_Integer Col) const
	Returns the coefficients of the global matrix of tranformation. It is a 3 rows X 4 columns matrix. Raised if Row < 1 or Row > 3 or Col < 1 or Col > 4 Computes the reverse transformation. More...

void	Invert ()
	Raised if the the transformation is singular. This means that the ScaleFactor is lower or equal to Resolution from package gp. More...

Handle_Geom_Transformation	Inverted () const
	Raised if the the transformation is singular. This means that the ScaleFactor is lower or equal to Resolution from package gp. More...

Handle_Geom_Transformation	Multiplied (const Handle< Geom_Transformation > &Other) const
	Computes the transformation composed with Other and <me>. <me> * Other. Returns a new transformation More...

void	Multiply (const Handle< Geom_Transformation > &Other)
	Computes the transformation composed with Other and <me> . <me> = <me> * Other. More...

void	Power (const Standard_Integer N)
	Computes the following composition of transformations if N > 0 <me> * <me> * .......* <me>. if N = 0 Identity if N < 0 <me>.Invert() * .........* <me>.Invert() Raised if N < 0 and if the transformation is not inversible More...

Handle_Geom_Transformation	Powered (const Standard_Integer N) const
	Raised if N < 0 and if the transformation is not inversible More...

void	PreMultiply (const Handle< Geom_Transformation > &Other)
	Computes the matrix of the transformation composed with <me> and Other. <me> = Other * <me> More...

void	Transforms (Standard_Real &X, Standard_Real &Y, Standard_Real &Z) const
	Applies the transformation <me> to the triplet {X, Y, Z}. More...

Handle_Geom_Transformation	Copy () const
	Creates a new object which is a copy of this transformation. More...

Public Member Functions inherited from MMgt_TShared
virtual void	Delete () const
	Memory deallocator for transient classes. More...

Public Member Functions inherited from Standard_Transient
	Standard_Transient ()
	Empty constructor. More...

	Standard_Transient (const Standard_Transient &)
	Copy constructor – does nothing. More...

Standard_Transient &	operator= (const Standard_Transient &)
	Assignment operator, needed to avoid copying reference counter. More...

virtual	~Standard_Transient ()
	Destructor must be virtual. More...

virtual void	ShallowDump (Standard_OStream &) const

virtual const Handle_Standard_Type &	DynamicType () const
	Returns a type information object about this object. More...

Standard_Boolean	IsInstance (const Handle_Standard_Type &theType) const
	Returns a true value if this is an instance of Type. More...

Standard_Boolean	IsInstance (const Standard_CString theTypeName) const
	Returns a true value if this is an instance of TypeName. More...

Standard_Boolean	IsKind (const Handle_Standard_Type &theType) const
	Returns true if this is an instance of Type or an instance of any class that inherits from Type. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More...

Standard_Boolean	IsKind (const Standard_CString theTypeName) const
	Returns true if this is an instance of TypeName or an instance of any class that inherits from TypeName. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More...

virtual Handle_Standard_Transient	This () const
	Returns a Handle which references this object. Must never be called to objects created in stack. More...

Standard_Integer	GetRefCount () const
	Get the reference counter of this object. More...

Detailed Description

Describes how to construct the following elementary transformations

translations,
rotations,
symmetries,
scales.
The Transformation class can also be used to
construct complex transformations by combining these
elementary transformations.
However, these transformations can never change
the type of an object. For example, the projection
transformation can change a circle into an ellipse, and
therefore change the real type of the object. Such a
transformation is forbidden in this environment and
cannot be a Geom_Transformation.
The transformation can be represented as follow :

V1 V2 V3 T
| a11 a12 a13 a14 | | x | | x'|
| a21 a22 a23 a24 | | y | | y'|
| a31 a32 a33 a34 | | z | = | z'|
| 0 0 0 1 | | 1 | | 1 |

where {V1, V2, V3} defines the vectorial part of the
transformation and T defines the translation part of
the transformation.
Note: Geom_Transformation transformations
provide the same kind of "geometric" services as
gp_Trsf ones but have more complex data structures.
The geometric objects provided by the Geom
package use gp_Trsf transformations in the syntaxes
Transform and Transformed.
Geom_Transformation transformations are used in
a context where they can be shared by several
objects contained inside a common data structure.

Constructor & Destructor Documentation

Geom_Transformation::Geom_Transformation ( )

Creates an identity transformation.

Geom_Transformation::Geom_Transformation ( const gp_Trsf & T )

Creates a transient copy of T.

Member Function Documentation

Handle_Geom_Transformation Geom_Transformation::Copy ( ) const

Creates a new object which is a copy of this transformation.

gp_TrsfForm Geom_Transformation::Form ( ) const

 Returns the nature of this transformation as a value <br>

of the gp_TrsfForm enumeration.

void Geom_Transformation::Invert ( )

Raised if the the transformation is singular. This means that
the ScaleFactor is lower or equal to Resolution from
package gp.

Handle_Geom_Transformation Geom_Transformation::Inverted ( ) const

Raised if the the transformation is singular. This means that
the ScaleFactor is lower or equal to Resolution from
package gp.

Standard_Boolean Geom_Transformation::IsNegative ( ) const

 Checks whether this transformation is an indirect <br>

transformation: returns true if the determinant of the
matrix of the vectorial part of the transformation is less than 0.

Handle_Geom_Transformation Geom_Transformation::Multiplied ( const Handle< Geom_Transformation > & Other ) const

Computes the transformation composed with Other and <me>.
<me> * Other.
Returns a new transformation

void Geom_Transformation::Multiply ( const Handle< Geom_Transformation > & Other )

Computes the transformation composed with Other and <me> .
<me> = <me> * Other.

void Geom_Transformation::Power ( const Standard_Integer N )

Computes the following composition of transformations
if N > 0 <me> * <me> * .......* <me>.
if N = 0 Identity
if N < 0 <me>.Invert() * .........* <me>.Invert()
Raised if N < 0 and if the transformation is not inversible

Handle_Geom_Transformation Geom_Transformation::Powered ( const Standard_Integer N ) const

Raised if N < 0 and if the transformation is not inversible

void Geom_Transformation::PreMultiply ( const Handle< Geom_Transformation > & Other )

Computes the matrix of the transformation composed with
<me> and Other. <me> = Other * <me>

Standard_Real Geom_Transformation::ScaleFactor ( ) const

Returns the scale value of the transformation.

void Geom_Transformation::SetMirror ( const gp_Pnt & P )

Makes the transformation into a symmetrical transformation
with respect to a point P.
P is the center of the symmetry.

void Geom_Transformation::SetMirror ( const gp_Ax1 & A1 )

Makes the transformation into a symmetrical transformation
with respect to an axis A1.
A1 is the center of the axial symmetry.

void Geom_Transformation::SetMirror ( const gp_Ax2 & A2 )

Makes the transformation into a symmetrical transformation
with respect to a plane. The plane of the symmetry is
defined with the axis placement A2. It is the plane
(Location, XDirection, YDirection).

void Geom_Transformation::SetRotation	(	const gp_Ax1 &	A1,
		const Standard_Real	Ang
	)

Makes the transformation into a rotation.
A1 is the axis rotation and Ang is the angular value
of the rotation in radians.

void Geom_Transformation::SetScale	(	const gp_Pnt &	P,
		const Standard_Real	S
	)

Makes the transformation into a scale. P is the center of
the scale and S is the scaling value.

void Geom_Transformation::SetTransformation	(	const gp_Ax3 &	FromSystem1,
		const gp_Ax3 &	ToSystem2
	)

Makes a transformation allowing passage from the coordinate <br>

system "FromSystem1" to the coordinate system "ToSystem2".
Example :
In a C++ implementation :
Real x1, y1, z1; // are the coordinates of a point in the
// local system FromSystem1
Real x2, y2, z2; // are the coordinates of a point in the
// local system ToSystem2
gp_Pnt P1 (x1, y1, z1)
Geom_Transformation T;
T.SetTransformation (FromSystem1, ToSystem2);
gp_Pnt P2 = P1.Transformed (T);
P2.Coord (x2, y2, z2);

void Geom_Transformation::SetTransformation ( const gp_Ax3 & ToSystem )

Makes the transformation allowing passage from the basic
coordinate system
{P(0.,0.,0.), VX (1.,0.,0.), VY (0.,1.,0.), VZ (0., 0. ,1.) }
to the local coordinate system defined with the Ax2 ToSystem.
Same utilisation as the previous method. FromSystem1 is
defaulted to the absolute coordinate system.

void Geom_Transformation::SetTranslation ( const gp_Vec & V )

Makes the transformation into a translation.
V is the vector of the translation.

void Geom_Transformation::SetTranslation	(	const gp_Pnt &	P1,
		const gp_Pnt &	P2
	)

Makes the transformation into a translation from the point
P1 to the point P2.

void Geom_Transformation::SetTrsf ( const gp_Trsf & T )

Converts the gp_Trsf transformation T into this transformation.

void Geom_Transformation::Transforms	(	Standard_Real &	X,
		Standard_Real &	Y,
		Standard_Real &	Z
	)		const

Applies the transformation <me> to the triplet {X, Y, Z}.

const gp_Trsf& Geom_Transformation::Trsf ( ) const

Returns a non transient copy of <me>.

Standard_Real Geom_Transformation::Value	(	const Standard_Integer	Row,
		const Standard_Integer	Col
	)		const

Returns the coefficients of the global matrix of tranformation.
It is a 3 rows X 4 columns matrix.
Raised if Row < 1 or Row > 3 or Col < 1 or Col > 4
Computes the reverse transformation.

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

Geom_Transformation.hxx

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation