[occt.git] / src / Geom2d / Geom2d_Hyperbola.cdl

-- Created on: 1993-03-24
-- Created by: JCV
-- Copyright (c) 1993-1999 Matra Datavision
-- Copyright (c) 1999-2014 OPEN CASCADE SAS
--
-- This file is part of Open CASCADE Technology software library.
--
-- This library is free software; you can redistribute it and/or modify it under
-- the terms of the GNU Lesser General Public License version 2.1 as published
-- by the Free Software Foundation, with special exception defined in the file
-- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
-- distribution for complete text of the license and disclaimer of any warranty.
--
-- Alternatively, this file may be used under the terms of Open CASCADE
-- commercial license or contractual agreement.

class Hyperbola from Geom2d inherits Conic from Geom2d 

    	--- Purpose : Describes a branch of a hyperbola in the plane (2D space).
    	-- A hyperbola is defined by its major and minor radii
    	-- and, as with any conic curve, is positioned in the
    	-- plane with a coordinate system (gp_Ax22d object) where:
    	-- - the origin is the center of the hyperbola,
    	-- - the "X Direction" defines the major axis, and
    	-- - the "Y Direction" defines the minor axis.
    	--   This coordinate system is the local coordinate
    	-- system of the hyperbola.
    	-- The branch of the hyperbola described is the one
    	-- located on the positive side of the major axis.
    	-- The orientation (direct or indirect) of the local
    	-- coordinate system gives an explicit orientation to the
    	-- hyperbola, determining the direction in which the
    	-- parameter increases along the hyperbola.
    	-- The Geom2d_Hyperbola hyperbola is parameterized as follows:
    	-- P(U) = O + MajRad*Cosh(U)*XDir + MinRad*Sinh(U)*YDir
    	-- where:
    	-- - P is the point of parameter U,
    	-- - O, XDir and YDir are respectively the origin, "X
    	--   Direction" and "Y Direction" of its local coordinate system,
    	-- - MajRad and MinRad are the major and minor radii of the hyperbola.
    	-- The "X Axis" of the local coordinate system therefore
    	-- defines the origin of the parameter of the hyperbola.
    	-- The parameter range is ] -infinite,+infinite [.
    	-- The following diagram illustrates the respective
    	-- positions, in the plane of the hyperbola, of the three
    	-- branches of hyperbolas constructed using the
    	-- functions OtherBranch, ConjugateBranch1 and
    	-- ConjugateBranch2:
    	--                 ^YAxis
    	--                 |
    	--           FirstConjugateBranch
    	--                 |
    	--     Other         |          Main
    	-- --------------------- C
    	-- --------------------->XAxis
    	--     Branch       |         
    	-- Branch
    	--                 |
    	--           SecondConjugateBranch
    	--                 |
    	-- Warning
    	-- The value of the major radius (on the major axis) can
    	-- be less than the value of the minor radius (on the minor axis).
    	-- See Also
    	-- GCE2d_MakeHyperbola which provides functions for
    	-- more complex hyperbola constructions
    	-- gp_Ax22d
    	-- gp_Hypr2d for an equivalent, non-parameterized data structure
	

uses Ax2d     from gp,
     Ax22d    from gp,
     Hypr2d   from gp, 
     Pnt2d    from gp, 
     Trsf2d   from gp, 
     Vec2d    from gp,
     Geometry from Geom2d


raises ConstructionError from Standard, 
       DomainError       from Standard,
       RangeError        from Standard


is

  Create (H : Hypr2d)   returns Hyperbola;
        --- Purpose : Creates  an Hyperbola from a non persistent one from package gp


  Create (MajorAxis : Ax2d; MajorRadius, MinorRadius : Real;
          Sense: Boolean from Standard = Standard_True)
     returns Hyperbola
	--- Purpose :
	--  MajorAxis is the "XAxis" of the hyperbola.
	--  The YAxis is in the direct sense if "Sense" is True;
        --  The major radius of the hyperbola is on this "XAxis" and 
        --  the minor radius is on the "YAxis" of the hyperbola.
     raises ConstructionError;
	--- Purpose : Raised if MajorRadius < 0.0 or if MinorRadius < 0.0

  Create (Axis : Ax22d; MajorRadius, MinorRadius : Real)
     returns Hyperbola
	--- Purpose :
	--  The XDirection of "Axis" is the "XAxis" of the hyperbola and 
	--  the YDirection of "Axis" is the "YAxis".
        --  The major radius of the hyperbola is on this "XAxis" and 
        --  the minor radius is on the "YAxis" of the hyperbola.
     raises ConstructionError;
	--- Purpose : Raised if MajorRadius < 0.0 or if MinorRadius < 0.0


  SetHypr2d (me : mutable; H : Hypr2d);
    	--- Purpose: Converts the gp_Hypr2d hyperbola H into this hyperbola.


  SetMajorRadius (me : mutable; MajorRadius : Real)
     raises ConstructionError;
	---Purpose : Assigns a value to the major or minor radius of this hyperbola.
    	--  Exceptions
    	-- Standard_ConstructionError if:
    	-- - MajorRadius is less than 0.0,
    	-- - MinorRadius is less than 0.0.

  SetMinorRadius (me : mutable; MinorRadius : Real)
     raises ConstructionError;
	--- Purpose : Assigns a value to the major or minor radius of this hyperbola.
    	--  Exceptions
    	-- Standard_ConstructionError if:
    	-- - MajorRadius is less than 0.0,
    	-- - MinorRadius is less than 0.0.

  Hypr2d (me)  returns Hypr2d;
        --- Purpose : Converts this hyperbola into a gp_Hypr2d one.
      

  ReversedParameter(me; U : Real) returns Real is redefined static;
	---Purpose: Computes the parameter on the reversed hyperbola,
    	-- for the point of parameter U on this hyperbola.
    	-- For a hyperbola, the returned value is -U.


  FirstParameter (me)   returns Real is redefined static;
        --- Purpose : Returns RealFirst from Standard.


  LastParameter (me)   returns Real is redefined static;
        --- Purpose : returns RealLast from Standard.


  IsClosed (me)   returns Boolean is redefined static;
        --- Purpose : Returns False.


  IsPeriodic (me)   returns Boolean is redefined static;
        --- Purpose : return False for an hyperbola.


  Asymptote1 (me)  returns Ax2d
	--- Purpose :
	--  In the local coordinate system of the hyperbola the 
	--  equation of the hyperbola is (X*X)/(A*A) - (Y*Y)/(B*B) = 1.0
	--  and the equation of the first asymptote is Y = (B/A)*X
	--  where A is the major radius of the hyperbola and B is the
	--  minor radius of the hyperbola.
     raises ConstructionError;
        --- Purpose : Raised if MajorRadius = 0.0


  Asymptote2 (me)    returns Ax2d
	--- Purpose :
	--  In the local coordinate system of the hyperbola the 
	--  equation of the hyperbola is (X*X)/(A*A) - (Y*Y)/(B*B) = 1.0
	--  and the equation of the first asymptote is Y = -(B/A)*X.
	--  where A is the major radius of the hyperbola and B is the
	--  minor radius of the hyperbola.
     raises ConstructionError;
        --- Purpose : raised if MajorRadius = 0.0


  ConjugateBranch1 (me)   returns Hypr2d;
	--- Purpose : Computes the first conjugate branch relative to this hyperbola.
    	-- Note: The diagram given under the class purpose
    	-- indicates where these two branches of hyperbola are
    	-- positioned in relation to this branch of hyperbola.
	
  ConjugateBranch2 (me)  returns Hypr2d;
	--- Purpose : Computes the second conjugate branch relative to this hyperbola.
    	-- Note: The diagram given under the class purpose
    	-- indicates where these two branches of hyperbola are
    	-- positioned in relation to this branch of hyperbola.
	

  Directrix1 (me)   returns Ax2d;
        --- Purpose :
        --  This directrix is the line normal to the XAxis of the hyperbola
        --  in the local plane (Z = 0) at a distance d = MajorRadius / e 
        --  from the center of the hyperbola, where e is the eccentricity of
        --  the hyperbola.
        --  This line is parallel to the "YAxis". The intersection point
        --  between directrix1 and the "XAxis" is the location point of the
        --  directrix1. This point is on the positive side of the "XAxis".


  Directrix2 (me)   returns Ax2d;
        --- Purpose :
        --  This line is obtained by the symmetrical transformation 
        --  of "Directrix1" with respect to the "YAxis" of the hyperbola.


  Eccentricity (me)   returns Real
	--- Purpose :
	--  Returns the excentricity of the hyperbola (e > 1).
	--  If f is the distance between the location of the hyperbola
	--  and the Focus1 then the eccentricity e = f / MajorRadius.
     raises DomainError is redefined static;
        --- Purpose : raised if MajorRadius = 0.0


  Focal (me)   returns Real;
	--- Purpose :
	--  Computes the focal distance. It is the distance between the
        --  two focus of the hyperbola.


  Focus1 (me)   returns Pnt2d;
	--- Purpose :
	--  Returns the first focus of the hyperbola. This focus is on the
        --  positive side of the "XAxis" of the hyperbola.


  Focus2 (me)  returns Pnt2d;
        --- Purpose :
	--  Returns the second focus of the hyperbola. This focus is on the
        --  negative side of the "XAxis" of the hyperbola.


  MajorRadius (me)  returns Real;
    	---Purpose: Returns the major or minor radius of this hyperbola.
    	-- The major radius is also the distance between the
    	-- center of the hyperbola and the apex of the main
    	-- branch (located on the "X Axis" of the hyperbola).
 

  MinorRadius (me)  returns Real;
    	---Purpose: Returns the major or minor radius of this hyperbola.
    	-- The minor radius is also the distance between the
    	-- center of the hyperbola and the apex of a conjugate
    	-- branch (located on the "Y Axis" of the hyperbola).
        
  OtherBranch (me)   returns Hypr2d;
        --- Purpose :
	--  Computes the "other" branch of this hyperbola. This
    	-- is a symmetrical branch with respect to the center of this hyperbola.
    	-- Note: The diagram given under the class purpose
    	-- indicates where the "other" branch is positioned in
    	-- relation to this branch of the hyperbola.  
    	--   ^ YAxis
    	-- |
    	-- FirstConjugateBranch
    	--   |
    	-- Other   | Main
    	-- ---------------------------- C
    	-- ------------------------------------------&gtXAxis
    	-- Branch |  Branch
    	--   |
    	-- |
    	-- SecondConjugateBranch
    	--   |
    	-- Warning
    	-- The major radius can be less than the minor radius. 

  Parameter (me)  returns Real
        --- Purpose : Computes the parameter of this hyperbola.
    	-- The parameter is:
    	-- p = (e*e - 1) * MajorRadius
    	-- where e is the eccentricity of this hyperbola and
    	-- MajorRadius its major radius.
    	-- Exceptions
    	-- Standard_DomainError if the major radius of this
    	-- hyperbola is null.
             raises DomainError;


  D0(me; U : Real; P : out Pnt2d) is redefined static;
	---Purpose: Returns in P the point of parameter U.
        --  P = C + MajorRadius * Cosh (U) * XDir +
        --          MinorRadius * Sinh (U) * YDir
        --  where C is the center of the hyperbola , XDir the XDirection and
        --  YDir the YDirection of the hyperbola's local coordinate system.


  D1 (me; U : Real; P : out Pnt2d; V1 : out Vec2d) is redefined static;
        --- Purpose :
        --  Returns the point P of parameter U and the first derivative V1.


  D2 (me; U : Real; P : out Pnt2d; V1, V2 : out Vec2d) is redefined static;
        --- Purpose :
        --  Returns the point P of parameter U, the first and second 
        --  derivatives V1 and V2.


  D3 (me; U : Real; P : out Pnt2d; V1, V2, V3 : out Vec2d) is redefined static;
        --- Purpose :
        --  Returns the point P of parameter U, the first second and 
        --  third derivatives V1 V2 and V3.
  

  DN (me; U : Real; N : Integer)   returns Vec2d
        --- Purpose : For the point of parameter U of this hyperbola,
    	-- computes the vector corresponding to the Nth derivative.
    	-- Exceptions Standard_RangeError if N is less than 1.
            raises RangeError is redefined static;


  Transform (me : mutable; T : Trsf2d) is redefined static;

    	---Purpose: Applies the transformation T to this hyperbola.

  Copy (me)  returns like me is redefined static;
    	---Purpose: Creates a new object which is a copy of this hyperbola.
        
fields

     majorRadius : Real;
     minorRadius : Real;

end;
Commit	Line	Data
b311480e	1	-- Created on: 1993-03-24
	2	-- Created by: JCV
	3	-- Copyright (c) 1993-1999 Matra Datavision
973c2be1	4	-- Copyright (c) 1999-2014 OPEN CASCADE SAS
b311480e	5	--
973c2be1	6	-- This file is part of Open CASCADE Technology software library.
b311480e	7	--
d5f74e42	8	-- This library is free software; you can redistribute it and/or modify it under
d5f74e42	9	-- the terms of the GNU Lesser General Public License version 2.1 as published
973c2be1	10	-- by the Free Software Foundation, with special exception defined in the file
	11	-- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
	12	-- distribution for complete text of the license and disclaimer of any warranty.
b311480e	13	--
973c2be1	14	-- Alternatively, this file may be used under the terms of Open CASCADE
973c2be1	15	-- commercial license or contractual agreement.
7fd59977	16
	17	class Hyperbola from Geom2d inherits Conic from Geom2d
	18
	19	--- Purpose : Describes a branch of a hyperbola in the plane (2D space).
	20	-- A hyperbola is defined by its major and minor radii
	21	-- and, as with any conic curve, is positioned in the
	22	-- plane with a coordinate system (gp_Ax22d object) where:
	23	-- - the origin is the center of the hyperbola,
	24	-- - the "X Direction" defines the major axis, and
	25	-- - the "Y Direction" defines the minor axis.
	26	-- This coordinate system is the local coordinate
	27	-- system of the hyperbola.
	28	-- The branch of the hyperbola described is the one
	29	-- located on the positive side of the major axis.
	30	-- The orientation (direct or indirect) of the local
	31	-- coordinate system gives an explicit orientation to the
	32	-- hyperbola, determining the direction in which the
	33	-- parameter increases along the hyperbola.
	34	-- The Geom2d_Hyperbola hyperbola is parameterized as follows:
	35	-- P(U) = O + MajRadCosh(U)XDir + MinRadSinh(U)YDir
	36	-- where:
	37	-- - P is the point of parameter U,
	38	-- - O, XDir and YDir are respectively the origin, "X
	39	-- Direction" and "Y Direction" of its local coordinate system,
	40	-- - MajRad and MinRad are the major and minor radii of the hyperbola.
	41	-- The "X Axis" of the local coordinate system therefore
	42	-- defines the origin of the parameter of the hyperbola.
	43	-- The parameter range is ] -infinite,+infinite [.
	44	-- The following diagram illustrates the respective
	45	-- positions, in the plane of the hyperbola, of the three
	46	-- branches of hyperbolas constructed using the
	47	-- functions OtherBranch, ConjugateBranch1 and
	48	-- ConjugateBranch2:
	49	-- ^YAxis
	50	-- \|
	51	-- FirstConjugateBranch
	52	-- \|
	53	-- Other \| Main
	54	-- --------------------- C
	55	-- --------------------->XAxis
	56	-- Branch \|
	57	-- Branch
	58	-- \|
	59	-- SecondConjugateBranch
	60	-- \|
	61	-- Warning
	62	-- The value of the major radius (on the major axis) can
	63	-- be less than the value of the minor radius (on the minor axis).
	64	-- See Also
	65	-- GCE2d_MakeHyperbola which provides functions for
	66	-- more complex hyperbola constructions
	67	-- gp_Ax22d
	68	-- gp_Hypr2d for an equivalent, non-parameterized data structure
	69
	70
	71	uses Ax2d from gp,
	72	Ax22d from gp,
	73	Hypr2d from gp,
	74	Pnt2d from gp,
	75	Trsf2d from gp,
	76	Vec2d from gp,
	77	Geometry from Geom2d
	78
	79
80	raises ConstructionError from Standard,
81	DomainError from Standard,
82	RangeError from Standard
83
84
85	is
86
6e33d3ce	87	Create (H : Hypr2d) returns Hyperbola;
7fd59977	88	--- Purpose : Creates an Hyperbola from a non persistent one from package gp
	89
	90
	91	Create (MajorAxis : Ax2d; MajorRadius, MinorRadius : Real;
	92	Sense: Boolean from Standard = Standard_True)
6e33d3ce	93	returns Hyperbola
7fd59977	94	--- Purpose :
	95	-- MajorAxis is the "XAxis" of the hyperbola.
	96	-- The YAxis is in the direct sense if "Sense" is True;
	97	-- The major radius of the hyperbola is on this "XAxis" and
	98	-- the minor radius is on the "YAxis" of the hyperbola.
	99	raises ConstructionError;
	100	--- Purpose : Raised if MajorRadius < 0.0 or if MinorRadius < 0.0
	101
	102	Create (Axis : Ax22d; MajorRadius, MinorRadius : Real)
6e33d3ce	103	returns Hyperbola
7fd59977	104	--- Purpose :
	105	-- The XDirection of "Axis" is the "XAxis" of the hyperbola and
	106	-- the YDirection of "Axis" is the "YAxis".
	107	-- The major radius of the hyperbola is on this "XAxis" and
	108	-- the minor radius is on the "YAxis" of the hyperbola.
	109	raises ConstructionError;
	110	--- Purpose : Raised if MajorRadius < 0.0 or if MinorRadius < 0.0
	111
	112
	113
	114	SetHypr2d (me : mutable; H : Hypr2d);
	115	--- Purpose: Converts the gp_Hypr2d hyperbola H into this hyperbola.
	116
	117
	118
	119	SetMajorRadius (me : mutable; MajorRadius : Real)
	120	raises ConstructionError;
	121	---Purpose : Assigns a value to the major or minor radius of this hyperbola.
	122	-- Exceptions
	123	-- Standard_ConstructionError if:
	124	-- - MajorRadius is less than 0.0,
	125	-- - MinorRadius is less than 0.0.
	126
	127	SetMinorRadius (me : mutable; MinorRadius : Real)
	128	raises ConstructionError;
	129	--- Purpose : Assigns a value to the major or minor radius of this hyperbola.
	130	-- Exceptions
	131	-- Standard_ConstructionError if:
	132	-- - MajorRadius is less than 0.0,
	133	-- - MinorRadius is less than 0.0.
	134
	135	Hypr2d (me) returns Hypr2d;
	136	--- Purpose : Converts this hyperbola into a gp_Hypr2d one.
	137
	138
	139
	140	ReversedParameter(me; U : Real) returns Real is redefined static;
	141	---Purpose: Computes the parameter on the reversed hyperbola,
	142	-- for the point of parameter U on this hyperbola.
	143	-- For a hyperbola, the returned value is -U.
	144
	145
	146	FirstParameter (me) returns Real is redefined static;
	147	--- Purpose : Returns RealFirst from Standard.
	148
	149
	150	LastParameter (me) returns Real is redefined static;
	151	--- Purpose : returns RealLast from Standard.
	152
	153
	154	IsClosed (me) returns Boolean is redefined static;
	155	--- Purpose : Returns False.
	156
	157
	158	IsPeriodic (me) returns Boolean is redefined static;
	159	--- Purpose : return False for an hyperbola.
	160
	161
	162	Asymptote1 (me) returns Ax2d
	163	--- Purpose :
	164	-- In the local coordinate system of the hyperbola the
	165	-- equation of the hyperbola is (XX)/(AA) - (YY)/(BB) = 1.0
	166	-- and the equation of the first asymptote is Y = (B/A)*X
	167	-- where A is the major radius of the hyperbola and B is the
168	-- minor radius of the hyperbola.
169	raises ConstructionError;
170	--- Purpose : Raised if MajorRadius = 0.0
171
172
173	Asymptote2 (me) returns Ax2d
174	--- Purpose :
175	-- In the local coordinate system of the hyperbola the
176	-- equation of the hyperbola is (XX)/(AA) - (YY)/(BB) = 1.0
177	-- and the equation of the first asymptote is Y = -(B/A)*X.
178	-- where A is the major radius of the hyperbola and B is the
179	-- minor radius of the hyperbola.
180	raises ConstructionError;
181	--- Purpose : raised if MajorRadius = 0.0
182
183
184	ConjugateBranch1 (me) returns Hypr2d;
185	--- Purpose : Computes the first conjugate branch relative to this hyperbola.
186	-- Note: The diagram given under the class purpose
187	-- indicates where these two branches of hyperbola are
188	-- positioned in relation to this branch of hyperbola.
189
190	ConjugateBranch2 (me) returns Hypr2d;
191	--- Purpose : Computes the second conjugate branch relative to this hyperbola.
192	-- Note: The diagram given under the class purpose
193	-- indicates where these two branches of hyperbola are
194	-- positioned in relation to this branch of hyperbola.
195
196
197	Directrix1 (me) returns Ax2d;
198	--- Purpose :
199	-- This directrix is the line normal to the XAxis of the hyperbola
200	-- in the local plane (Z = 0) at a distance d = MajorRadius / e
201	-- from the center of the hyperbola, where e is the eccentricity of
202	-- the hyperbola.
203	-- This line is parallel to the "YAxis". The intersection point
204	-- between directrix1 and the "XAxis" is the location point of the
205	-- directrix1. This point is on the positive side of the "XAxis".
206
207
208	Directrix2 (me) returns Ax2d;
209	--- Purpose :
210	-- This line is obtained by the symmetrical transformation
211	-- of "Directrix1" with respect to the "YAxis" of the hyperbola.
212
213
214	Eccentricity (me) returns Real
215	--- Purpose :
216	-- Returns the excentricity of the hyperbola (e > 1).
217	-- If f is the distance between the location of the hyperbola
218	-- and the Focus1 then the eccentricity e = f / MajorRadius.
219	raises DomainError is redefined static;
220	--- Purpose : raised if MajorRadius = 0.0
221
222
223	Focal (me) returns Real;
224	--- Purpose :
225	-- Computes the focal distance. It is the distance between the
226	-- two focus of the hyperbola.
227
228
229	Focus1 (me) returns Pnt2d;
230	--- Purpose :
231	-- Returns the first focus of the hyperbola. This focus is on the
232	-- positive side of the "XAxis" of the hyperbola.
233
234
235	Focus2 (me) returns Pnt2d;
236	--- Purpose :
237	-- Returns the second focus of the hyperbola. This focus is on the
238	-- negative side of the "XAxis" of the hyperbola.
239
240
241	MajorRadius (me) returns Real;
242	---Purpose: Returns the major or minor radius of this hyperbola.
243	-- The major radius is also the distance between the
244	-- center of the hyperbola and the apex of the main
245	-- branch (located on the "X Axis" of the hyperbola).
246
247
248	MinorRadius (me) returns Real;
249	---Purpose: Returns the major or minor radius of this hyperbola.
250	-- The minor radius is also the distance between the
251	-- center of the hyperbola and the apex of a conjugate
252	-- branch (located on the "Y Axis" of the hyperbola).
253
254	OtherBranch (me) returns Hypr2d;
255	--- Purpose :
256	-- Computes the "other" branch of this hyperbola. This
257	-- is a symmetrical branch with respect to the center of this hyperbola.
258	-- Note: The diagram given under the class purpose
259	-- indicates where the "other" branch is positioned in
260	-- relation to this branch of the hyperbola.
261	-- ^ YAxis
262	-- \|
263	-- FirstConjugateBranch
264	-- \|
265	-- Other \| Main
266	-- ---------------------------- C
267	-- ------------------------------------------&gtXAxis
268	-- Branch \| Branch
269	-- \|
270	-- \|
271	-- SecondConjugateBranch
272	-- \|
273	-- Warning
274	-- The major radius can be less than the minor radius.
275
276	Parameter (me) returns Real
277	--- Purpose : Computes the parameter of this hyperbola.
278	-- The parameter is:
279	-- p = (ee - 1) MajorRadius
280	-- where e is the eccentricity of this hyperbola and
281	-- MajorRadius its major radius.
282	-- Exceptions
283	-- Standard_DomainError if the major radius of this
284	-- hyperbola is null.
285	raises DomainError;
286
287
288	D0(me; U : Real; P : out Pnt2d) is redefined static;
289	---Purpose: Returns in P the point of parameter U.
290	-- P = C + MajorRadius * Cosh (U) * XDir +
291	-- MinorRadius * Sinh (U) * YDir
292	-- where C is the center of the hyperbola , XDir the XDirection and
293	-- YDir the YDirection of the hyperbola's local coordinate system.
294
295
296	D1 (me; U : Real; P : out Pnt2d; V1 : out Vec2d) is redefined static;
297	--- Purpose :
298	-- Returns the point P of parameter U and the first derivative V1.
299
300
301	D2 (me; U : Real; P : out Pnt2d; V1, V2 : out Vec2d) is redefined static;
302	--- Purpose :
303	-- Returns the point P of parameter U, the first and second
304	-- derivatives V1 and V2.
305
306
307	D3 (me; U : Real; P : out Pnt2d; V1, V2, V3 : out Vec2d) is redefined static;
308	--- Purpose :
309	-- Returns the point P of parameter U, the first second and
310	-- third derivatives V1 V2 and V3.
311
312
313
314	DN (me; U : Real; N : Integer) returns Vec2d
315	--- Purpose : For the point of parameter U of this hyperbola,
316	-- computes the vector corresponding to the Nth derivative.
317	-- Exceptions Standard_RangeError if N is less than 1.
318	raises RangeError is redefined static;
319
320
321
322	Transform (me : mutable; T : Trsf2d) is redefined static;
323
324	---Purpose: Applies the transformation T to this hyperbola.
325
6e33d3ce	326	Copy (me) returns like me is redefined static;
7fd59977	327	---Purpose: Creates a new object which is a copy of this hyperbola.
	328
	329	fields
	330
	331	majorRadius : Real;
	332	minorRadius : Real;
	333
	334	end;
	335