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-- File: Geom2d_Transformation.cdl
-- Created: Wed Mar 24 18:23:20 1993
-- Author: JCV
-- <fid@sdsun2>
-- Copyright: Matra Datavision 1993
---Copyright: Matra Datavision 1991
class Transformation from Geom2d inherits TShared from MMgt
--- Purpose :
-- The class Transformation allows to create Translation,
-- Rotation, Symmetry, Scaling and complex transformations
-- obtained by combination of the previous elementary
-- transformations.
-- 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 Geom2d_Transformation.
-- The transformation can be represented as follow :
--
-- V1 V2 T
-- | a11 a12 a14 | | x | | x'|
-- | a21 a22 a24 | | y | | y'|
-- | 0 0 1 | | 1 | | 1 |
--
-- where {V1, V2} defines the vectorial part of the
-- transformation and T defines the translation part of
-- the transformation.
-- - Geom2d_Transformation transformations provide
-- the same kind of "geometric" services as
-- gp_Trsf2d ones but have more complex data
-- structures. The geometric objects provided by the
-- Geom2d package use gp_Trsf2d transformations
-- in the syntaxes Transform and Transformed.
-- - Geom2d_Transformation transformations are
-- used in a context where they can be shared by
-- several objects contained inside a common data structure.
uses Ax2d from gp,
Pnt2d from gp,
Trsf2d from gp,
TrsfForm from gp,
Vec2d from gp
raises ConstructionError from Standard,
OutOfRange from Standard
is
Create returns mutable Transformation;
--- Purpose : Creates an identity transformation.
Create (T : Trsf2d) returns mutable Transformation;
--- Purpose : Creates a persistent copy of T.
SetMirror (me : mutable; P : Pnt2d);
--- Purpose :
-- Makes the transformation into a symmetrical transformation
-- with respect to a point P.
-- P is the center of the symmetry.
SetMirror (me : mutable; A : Ax2d);
--- Purpose :
-- Makes the transformation into a symmetrical transformation
-- with respect to an axis A.
-- A is the center of the axial symmetry.
SetRotation (me : mutable; P : Pnt2d; Ang : Real);
--- Purpose : Assigns to this transformation the geometric
-- properties of a rotation at angle Ang (in radians) about point P.
SetScale (me : mutable; P : Pnt2d; S : Real);
--- Purpose :
-- Makes the transformation into a scale. P is the center of
-- the scale and S is the scaling value.
SetTransformation (me : mutable; FromSystem1, ToSystem2 : Ax2d);
--- Purpose :
-- Makes a transformation allowing passage from the coordinate
-- system "FromSystem1" to the coordinate system "ToSystem2".
SetTransformation (me : mutable; ToSystem : Ax2d);
--- Purpose :
-- Makes the transformation allowing passage from the basic
-- coordinate system
-- {P(0.,0.,0.), VX (1.,0.,0.), VY (0.,1.,0.)}
-- to the local coordinate system defined with the Ax2d ToSystem.
SetTranslation (me : mutable; V : Vec2d);
--- Purpose :
-- Makes the transformation into a translation.
-- V is the vector of the translation.
SetTranslation(me : mutable; P1, P2 : Pnt2d);
--- Purpose :
-- Makes the transformation into a translation from the point
-- P1 to the point P2.
SetTrsf2d (me : mutable; T : Trsf2d);
--- Purpose :
-- Makes the transformation into a transformation T from
-- package gp.
IsNegative (me) returns Boolean;
--- Purpose : Checks whether this transformation is an indirect
-- transformation: returns true if the determinant of the
-- matrix of the vectorial part of the transformation is less than 0.
Form (me) returns TrsfForm;
--- Purpose : Returns the nature of this transformation as a value
-- of the gp_TrsfForm enumeration.
-- Returns the nature of the transformation. It can be
-- Identity, Rotation, Translation, PntMirror, Ax1Mirror,
-- Scale, CompoundTrsf
ScaleFactor (me) returns Real;
--- Purpose : Returns the scale value of the transformation.
Trsf2d (me) returns Trsf2d;
--- Purpose : Converts this transformation into a gp_Trsf2d transformation.
-- Returns a non persistent copy of <me>.
-- -C++: return const&
Value (me; Row, Col : Integer) returns Real
--- Purpose :
-- Returns the coefficients of the global matrix of tranformation.
-- It is a 2 rows X 3 columns matrix.
raises OutOfRange;
--- Purpose :
-- Raised if Row < 1 or Row > 2 or Col < 1 or Col > 2
--- Purpose :
-- Computes the reverse transformation.
Invert (me : mutable)
---Purpose: Computes the inverse of this transformation.
-- and assigns the result to this transformatio
raises ConstructionError;
--- Purpose :
-- Raised if the the transformation is singular. This means that
-- the ScaleFactor is lower or equal to Resolution from
-- package gp.
Inverted (me) returns mutable Transformation
raises ConstructionError;
---Purpose: Computes the inverse of this transformation and creates a new one.
-- Raises ConstructionError if the the transformation is singular. This means that
-- the ScaleFactor is lower or equal to Resolution from package gp.
Multiplied (me; Other : Transformation) returns mutable Transformation;
--- Purpose :
-- Computes the transformation composed with Other and <me>.
-- <me> * Other.
-- Returns a new transformation
---C++: alias operator *
Multiply (me : mutable; Other : Transformation);
--- Purpose :
-- Computes the transformation composed with Other and <me> .
-- <me> = <me> * Other.
---C++: alias operator *=
--- Purpose :
-- Computes the following composition of transformations
-- if N > 0 <me> * <me> * .......* <me>.
-- if N = 0 Identity
-- if N < 0 <me>.Invert() * .........* <me>.Invert()
Power (me : mutable; N : Integer)
raises ConstructionError;
--- Purpose :
-- Raised if N < 0 and if the transformation is not inversible
Powered (me; N : Integer) returns Transformation
raises ConstructionError;
--- Purpose :
-- Raised if N < 0 and if the transformation is not inversible
PreMultiply (me : mutable; Other : Transformation);
--- Purpose :
-- Computes the matrix of the transformation composed with
-- <me> and Other. <me> = Other * <me>
Transforms (me; X, Y : in out Real);
--- Purpose :
-- Applies the transformation <me> to the triplet {X, Y}.
Copy (me) returns mutable Transformation;
--- Purpose: Creates a new object, which is a copy of this transformation.
fields
gpTrsf2d : Trsf2d;
end;
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