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

-- Created on: 1993-03-24
-- Created by: JCV
-- Copyright (c) 1993-1999 Matra Datavision
-- Copyright (c) 1999-2012 OPEN CASCADE SAS
--
-- The content of this file is subject to the Open CASCADE Technology Public
-- License Version 6.5 (the "License"). You may not use the content of this file
-- except in compliance with the License. Please obtain a copy of the License
-- at http://www.opencascade.org and read it completely before using this file.
--
-- The Initial Developer of the Original Code is Open CASCADE S.A.S., having its
-- main offices at: 1, place des Freres Montgolfier, 78280 Guyancourt, France.
--
-- The Original Code and all software distributed under the License is
-- distributed on an "AS IS" basis, without warranty of any kind, and the
-- Initial Developer hereby disclaims all such warranties, including without
-- limitation, any warranties of merchantability, fitness for a particular
-- purpose or non-infringement. Please see the License for the specific terms
-- and conditions governing the rights and limitations under the License.


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 mutable 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 mutable 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 mutable 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 mutable 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
	4	-- Copyright (c) 1999-2012 OPEN CASCADE SAS
	5	--
	6	-- The content of this file is subject to the Open CASCADE Technology Public
	7	-- License Version 6.5 (the "License"). You may not use the content of this file
	8	-- except in compliance with the License. Please obtain a copy of the License
	9	-- at http://www.opencascade.org and read it completely before using this file.
	10	--
	11	-- The Initial Developer of the Original Code is Open CASCADE S.A.S., having its
	12	-- main offices at: 1, place des Freres Montgolfier, 78280 Guyancourt, France.
	13	--
	14	-- The Original Code and all software distributed under the License is
	15	-- distributed on an "AS IS" basis, without warranty of any kind, and the
	16	-- Initial Developer hereby disclaims all such warranties, including without
	17	-- limitation, any warranties of merchantability, fitness for a particular
	18	-- purpose or non-infringement. Please see the License for the specific terms
	19	-- and conditions governing the rights and limitations under the License.
	20
7fd59977	21
7fd59977	22
	23
	24	class Hyperbola from Geom2d inherits Conic from Geom2d
	25
	26	--- Purpose : Describes a branch of a hyperbola in the plane (2D space).
	27	-- A hyperbola is defined by its major and minor radii
	28	-- and, as with any conic curve, is positioned in the
	29	-- plane with a coordinate system (gp_Ax22d object) where:
	30	-- - the origin is the center of the hyperbola,
	31	-- - the "X Direction" defines the major axis, and
	32	-- - the "Y Direction" defines the minor axis.
	33	-- This coordinate system is the local coordinate
	34	-- system of the hyperbola.
	35	-- The branch of the hyperbola described is the one
	36	-- located on the positive side of the major axis.
	37	-- The orientation (direct or indirect) of the local
	38	-- coordinate system gives an explicit orientation to the
	39	-- hyperbola, determining the direction in which the
	40	-- parameter increases along the hyperbola.
	41	-- The Geom2d_Hyperbola hyperbola is parameterized as follows:
	42	-- P(U) = O + MajRadCosh(U)XDir + MinRadSinh(U)YDir
	43	-- where:
	44	-- - P is the point of parameter U,
	45	-- - O, XDir and YDir are respectively the origin, "X
	46	-- Direction" and "Y Direction" of its local coordinate system,
	47	-- - MajRad and MinRad are the major and minor radii of the hyperbola.
	48	-- The "X Axis" of the local coordinate system therefore
	49	-- defines the origin of the parameter of the hyperbola.
	50	-- The parameter range is ] -infinite,+infinite [.
	51	-- The following diagram illustrates the respective
	52	-- positions, in the plane of the hyperbola, of the three
	53	-- branches of hyperbolas constructed using the
	54	-- functions OtherBranch, ConjugateBranch1 and
	55	-- ConjugateBranch2:
	56	-- ^YAxis
	57	-- \|
	58	-- FirstConjugateBranch
	59	-- \|
	60	-- Other \| Main
	61	-- --------------------- C
	62	-- --------------------->XAxis
	63	-- Branch \|
	64	-- Branch
	65	-- \|
	66	-- SecondConjugateBranch
	67	-- \|
	68	-- Warning
	69	-- The value of the major radius (on the major axis) can
	70	-- be less than the value of the minor radius (on the minor axis).
	71	-- See Also
	72	-- GCE2d_MakeHyperbola which provides functions for
	73	-- more complex hyperbola constructions
	74	-- gp_Ax22d
	75	-- gp_Hypr2d for an equivalent, non-parameterized data structure
	76
	77
	78	uses Ax2d from gp,
	79	Ax22d from gp,
	80	Hypr2d from gp,
	81	Pnt2d from gp,
	82	Trsf2d from gp,
	83	Vec2d from gp,
	84	Geometry from Geom2d
	85
86
87	raises ConstructionError from Standard,
88	DomainError from Standard,
89	RangeError from Standard
90
91
92	is
93
94	Create (H : Hypr2d) returns mutable Hyperbola;
95	--- Purpose : Creates an Hyperbola from a non persistent one from package gp
96
97
98	Create (MajorAxis : Ax2d; MajorRadius, MinorRadius : Real;
99	Sense: Boolean from Standard = Standard_True)
100	returns mutable Hyperbola
101	--- Purpose :
102	-- MajorAxis is the "XAxis" of the hyperbola.
103	-- The YAxis is in the direct sense if "Sense" is True;
104	-- The major radius of the hyperbola is on this "XAxis" and
105	-- the minor radius is on the "YAxis" of the hyperbola.
106	raises ConstructionError;
107	--- Purpose : Raised if MajorRadius < 0.0 or if MinorRadius < 0.0
108
109	Create (Axis : Ax22d; MajorRadius, MinorRadius : Real)
110	returns mutable Hyperbola
111	--- Purpose :
112	-- The XDirection of "Axis" is the "XAxis" of the hyperbola and
113	-- the YDirection of "Axis" is the "YAxis".
114	-- The major radius of the hyperbola is on this "XAxis" and
115	-- the minor radius is on the "YAxis" of the hyperbola.
116	raises ConstructionError;
117	--- Purpose : Raised if MajorRadius < 0.0 or if MinorRadius < 0.0
118
119
120
121	SetHypr2d (me : mutable; H : Hypr2d);
122	--- Purpose: Converts the gp_Hypr2d hyperbola H into this hyperbola.
123
124
125
126	SetMajorRadius (me : mutable; MajorRadius : Real)
127	raises ConstructionError;
128	---Purpose : Assigns a value to the major or minor radius of this hyperbola.
129	-- Exceptions
130	-- Standard_ConstructionError if:
131	-- - MajorRadius is less than 0.0,
132	-- - MinorRadius is less than 0.0.
133
134	SetMinorRadius (me : mutable; MinorRadius : Real)
135	raises ConstructionError;
136	--- Purpose : Assigns a value to the major or minor radius of this hyperbola.
137	-- Exceptions
138	-- Standard_ConstructionError if:
139	-- - MajorRadius is less than 0.0,
140	-- - MinorRadius is less than 0.0.
141
142	Hypr2d (me) returns Hypr2d;
143	--- Purpose : Converts this hyperbola into a gp_Hypr2d one.
144
145
146
147	ReversedParameter(me; U : Real) returns Real is redefined static;
148	---Purpose: Computes the parameter on the reversed hyperbola,
149	-- for the point of parameter U on this hyperbola.
150	-- For a hyperbola, the returned value is -U.
151
152
153	FirstParameter (me) returns Real is redefined static;
154	--- Purpose : Returns RealFirst from Standard.
155
156
157	LastParameter (me) returns Real is redefined static;
158	--- Purpose : returns RealLast from Standard.
159
160
161	IsClosed (me) returns Boolean is redefined static;
162	--- Purpose : Returns False.
163
164
165	IsPeriodic (me) returns Boolean is redefined static;
166	--- Purpose : return False for an hyperbola.
167
168
169	Asymptote1 (me) returns Ax2d
170	--- Purpose :
171	-- In the local coordinate system of the hyperbola the
172	-- equation of the hyperbola is (XX)/(AA) - (YY)/(BB) = 1.0
173	-- and the equation of the first asymptote is Y = (B/A)*X
174	-- where A is the major radius of the hyperbola and B is the
175	-- minor radius of the hyperbola.
176	raises ConstructionError;
177	--- Purpose : Raised if MajorRadius = 0.0
178
179
180	Asymptote2 (me) returns Ax2d
181	--- Purpose :
182	-- In the local coordinate system of the hyperbola the
183	-- equation of the hyperbola is (XX)/(AA) - (YY)/(BB) = 1.0
184	-- and the equation of the first asymptote is Y = -(B/A)*X.
185	-- where A is the major radius of the hyperbola and B is the
186	-- minor radius of the hyperbola.
187	raises ConstructionError;
188	--- Purpose : raised if MajorRadius = 0.0
189
190
191	ConjugateBranch1 (me) returns Hypr2d;
192	--- Purpose : Computes the first conjugate branch relative to this hyperbola.
193	-- Note: The diagram given under the class purpose
194	-- indicates where these two branches of hyperbola are
195	-- positioned in relation to this branch of hyperbola.
196
197	ConjugateBranch2 (me) returns Hypr2d;
198	--- Purpose : Computes the second conjugate branch relative to this hyperbola.
199	-- Note: The diagram given under the class purpose
200	-- indicates where these two branches of hyperbola are
201	-- positioned in relation to this branch of hyperbola.
202
203
204	Directrix1 (me) returns Ax2d;
205	--- Purpose :
206	-- This directrix is the line normal to the XAxis of the hyperbola
207	-- in the local plane (Z = 0) at a distance d = MajorRadius / e
208	-- from the center of the hyperbola, where e is the eccentricity of
209	-- the hyperbola.
210	-- This line is parallel to the "YAxis". The intersection point
211	-- between directrix1 and the "XAxis" is the location point of the
212	-- directrix1. This point is on the positive side of the "XAxis".
213
214
215	Directrix2 (me) returns Ax2d;
216	--- Purpose :
217	-- This line is obtained by the symmetrical transformation
218	-- of "Directrix1" with respect to the "YAxis" of the hyperbola.
219
220
221	Eccentricity (me) returns Real
222	--- Purpose :
223	-- Returns the excentricity of the hyperbola (e > 1).
224	-- If f is the distance between the location of the hyperbola
225	-- and the Focus1 then the eccentricity e = f / MajorRadius.
226	raises DomainError is redefined static;
227	--- Purpose : raised if MajorRadius = 0.0
228
229
230	Focal (me) returns Real;
231	--- Purpose :
232	-- Computes the focal distance. It is the distance between the
233	-- two focus of the hyperbola.
234
235
236	Focus1 (me) returns Pnt2d;
237	--- Purpose :
238	-- Returns the first focus of the hyperbola. This focus is on the
239	-- positive side of the "XAxis" of the hyperbola.
240
241
242	Focus2 (me) returns Pnt2d;
243	--- Purpose :
244	-- Returns the second focus of the hyperbola. This focus is on the
245	-- negative side of the "XAxis" of the hyperbola.
246
247
248	MajorRadius (me) returns Real;
249	---Purpose: Returns the major or minor radius of this hyperbola.
250	-- The major radius is also the distance between the
251	-- center of the hyperbola and the apex of the main
252	-- branch (located on the "X Axis" of the hyperbola).
253
254
255	MinorRadius (me) returns Real;
256	---Purpose: Returns the major or minor radius of this hyperbola.
257	-- The minor radius is also the distance between the
258	-- center of the hyperbola and the apex of a conjugate
259	-- branch (located on the "Y Axis" of the hyperbola).
260
261	OtherBranch (me) returns Hypr2d;
262	--- Purpose :
263	-- Computes the "other" branch of this hyperbola. This
264	-- is a symmetrical branch with respect to the center of this hyperbola.
265	-- Note: The diagram given under the class purpose
266	-- indicates where the "other" branch is positioned in
267	-- relation to this branch of the hyperbola.
268	-- ^ YAxis
269	-- \|
270	-- FirstConjugateBranch
271	-- \|
272	-- Other \| Main
273	-- ---------------------------- C
274	-- ------------------------------------------&gtXAxis
275	-- Branch \| Branch
276	-- \|
277	-- \|
278	-- SecondConjugateBranch
279	-- \|
280	-- Warning
281	-- The major radius can be less than the minor radius.
282
283	Parameter (me) returns Real
284	--- Purpose : Computes the parameter of this hyperbola.
285	-- The parameter is:
286	-- p = (ee - 1) MajorRadius
287	-- where e is the eccentricity of this hyperbola and
288	-- MajorRadius its major radius.
289	-- Exceptions
290	-- Standard_DomainError if the major radius of this
291	-- hyperbola is null.
292	raises DomainError;
293
294
295	D0(me; U : Real; P : out Pnt2d) is redefined static;
296	---Purpose: Returns in P the point of parameter U.
297	-- P = C + MajorRadius * Cosh (U) * XDir +
298	-- MinorRadius * Sinh (U) * YDir
299	-- where C is the center of the hyperbola , XDir the XDirection and
300	-- YDir the YDirection of the hyperbola's local coordinate system.
301
302
303	D1 (me; U : Real; P : out Pnt2d; V1 : out Vec2d) is redefined static;
304	--- Purpose :
305	-- Returns the point P of parameter U and the first derivative V1.
306
307
308	D2 (me; U : Real; P : out Pnt2d; V1, V2 : out Vec2d) is redefined static;
309	--- Purpose :
310	-- Returns the point P of parameter U, the first and second
311	-- derivatives V1 and V2.
312
313
314	D3 (me; U : Real; P : out Pnt2d; V1, V2, V3 : out Vec2d) is redefined static;
315	--- Purpose :
316	-- Returns the point P of parameter U, the first second and
317	-- third derivatives V1 V2 and V3.
318
319
320
321	DN (me; U : Real; N : Integer) returns Vec2d
322	--- Purpose : For the point of parameter U of this hyperbola,
323	-- computes the vector corresponding to the Nth derivative.
324	-- Exceptions Standard_RangeError if N is less than 1.
325	raises RangeError is redefined static;
326
327
328
329	Transform (me : mutable; T : Trsf2d) is redefined static;
330
331	---Purpose: Applies the transformation T to this hyperbola.
332
333	Copy (me) returns mutable like me is redefined static;
334	---Purpose: Creates a new object which is a copy of this hyperbola.
335
336	fields
337
338	majorRadius : Real;
339	minorRadius : Real;
340
341	end;
342