-- File:	DistBetweenPCurvesGen.cdl
-- Created:	Wed Oct 21 16:37:20 1992
-- Author:	Laurent BUCHARD
--		<lbr@sdsun2>
---Copyright:	 Matra Datavision 1992


generic class DistBetweenPCurvesGen from IntCurve (
    TheCurve        as any;
    TheCurveTool    as any) -- as CurveTool from IntCurve(TheCurve)
    
    
inherits FunctionSetWithDerivatives from math


       ---Purpose: provides a set of 2 function of 2 variables.
       --             f1(u,v) = X1(u) - X2(v)
       --             f2(u,v) = Y1(u) - Y2(v)
       --          where (X1(u),Y1(u)) = ParamCurve1.Value(u)
       --          and   (X2(v),Y2(v)) = ParamCurve2.Value(v)
       --          
       --          The Jacobian Matrix is : 
       --          
       --       |   df1   df1  |        |  T1x(u)     - T2x(v) |
       --       |   ---   ---  |   =    |                      |
       --       |   du    dv   |        |  T1y(u)     - T2y(v) |
       --       |              |       
       --       |              |        
       --       |   df2   df2  |        
       --       |   ---   ---  |        
       --       |   du    dv   |        
       --       
       --       where T1(u) = (T1x(u),T1y(u)) is the tangent vector at
       --             the curve1 at the parameter u.
       --       and
       --             T2(u) = (T2x(u),T2y(u)) is the tangent vector at
       --             the curve2 at the parameter u.


       ---Level: Internal 

uses   Vector    from math,
       Matrix    from math

is 

    Create(curve1: TheCurve; 
           curve2: TheCurve) 
    
    returns DistBetweenPCurvesGen;
    

    NbVariables(me) 
    	---Purpose: returns 2.
    returns Integer from Standard
    is static;


    NbEquations(me)
    	---Purpose: returns 2.
    returns Integer from Standard
    is static;
    
    Value(me: in out; X: Vector; F: out Vector)
    	---Purpose: computes the values <F> of the Functions for the 
    	--          variable <X>.
    	--          returns True if the computation was done successfully, 
    	--          False otherwise.

    returns Boolean
    is static;

 
    Derivatives(me: in out; X: Vector; D: out Matrix)
    	---Purpose: returns the values <D> of the derivatives for the 
    	--          variable <X>.
    	--          returns True if the computation was done successfully, 
    	--          False otherwise.

    returns Boolean
    is static;
    
    Values(me: in out; X: Vector; F: out Vector; D: out Matrix)
    	---Purpose: returns the values <F> of the functions and the derivatives
    	--          <D> for the variable <X>.
    	--          returns True if the computation was done successfully, 
    	--          False otherwise.

    returns Boolean
    is static;
    
    
fields 
    
    thecurve1 : Address from Standard; --- TheCurve;
    thecurve2 : Address from Standard; --- TheCurve;
    
    
end DistBetweenPCurvesGen;