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generic_chebyshev_polynomials.ads
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-- --
-- package Copyright (c) Dmitry A. Kazakov --
-- Generic_Chebyshev_Polynomials Luebeck --
-- Interface Spring, 2009 --
-- --
-- Last revision : 15:03 28 Mar 2009 --
-- --
-- This library is free software; you can redistribute it and/or --
-- modify it under the terms of the GNU General Public License as --
-- published by the Free Software Foundation; either version 2 of --
-- the License, or (at your option) any later version. This library --
-- is distributed in the hope that it will be useful, but WITHOUT --
-- ANY WARRANTY; without even the implied warranty of --
-- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU --
-- General Public License for more details. You should have --
-- received a copy of the GNU General Public License along with --
-- this library; if not, write to the Free Software Foundation, --
-- Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. --
-- --
-- As a special exception, if other files instantiate generics from --
-- this unit, or you link this unit with other files to produce an --
-- executable, this unit does not by itself cause the resulting --
-- executable to be covered by the GNU General Public License. This --
-- exception does not however invalidate any other reasons why the --
-- executable file might be covered by the GNU Public License. --
--____________________________________________________________________--
--
-- This package provides means to sum Chebyshev series:
--
-- Sum_T - First kind Chebyshev series Tn
-- Sum_Even_T - Even first kind Chebyshev series T2n
-- Sum_Odd_T - Odd first kind Chebyshev series T2n+1
-- Sum_Shifted_T - Shifted first kind Chebyshev series T*n
--
generic
type Number is digits <>;
package Generic_Chebyshev_Polynomials is
--
-- Coefficients -- Of a Chebyshev series
--
type Coefficients is array (Natural range <>) of Number'Base;
--
-- Sum_T -- Sum of Chebyshev series Tn
--
-- X - The argument
-- A - The coefficients
--
-- Returns :
--
-- Sum An Tn(X)
-- n=0..N
--
function Sum_T (X : Number'Base; A : Coefficients)
return Number'Base;
--
-- Sum_Even_T -- Sum of Chebyshev series T2n
--
-- X - The argument
-- A - The coefficients
--
-- Returns :
--
-- Sum An T2n(X)
-- n=0..N
--
function Sum_Even_T (X : Number'Base; A : Coefficients)
return Number'Base;
--
-- T_Odd -- Sum of Chebyshev series T2n+1
--
-- X - The argument
-- A - The coefficients
--
-- Returns :
--
-- Sum An T2n+1(X)
-- n=0..N
--
function Sum_Odd_T (X : Number'Base; A : Coefficients)
return Number'Base;
--
-- T_Shifted -- Sum of shifted Chebyshev series T*2n
--
-- X - The argument
-- C - The coefficients
--
-- Returns :
--
-- Sum An T*n(X)
-- n=0..N
--
function Sum_Shifted_T (X : Number'Base; A : Coefficients)
return Number'Base;
end Generic_Chebyshev_Polynomials;