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Annotation of OpenXM_contrib/PHC/Ada/Schubert/chebychev_polynomials.ads, Revision 1.1

1.1     ! maekawa     1: with Standard_Floating_Numbers;          use Standard_Floating_Numbers;
        !             2: with Standard_Floating_Vectors;          use Standard_Floating_Vectors;
        !             3:
        !             4: package Chebychev_Polynomials is
        !             5:
        !             6: -- DESCRIPTION :
        !             7: --   This is a simple implementation to generate, differentiate and
        !             8: --   evaluate Chebychev polynomials.  The polynomials are represented
        !             9: --   as vectors of range 0..d, with d their degree.
        !            10:
        !            11:   function Create ( k : natural ) return Vector;
        !            12:
        !            13:   -- DESCRIPTION :
        !            14:   --   Creates the kth Chebychev polynomial.
        !            15:
        !            16:   function Eval ( k : natural; x : double_float ) return double_float;
        !            17:
        !            18:   -- DESCRIPTION :
        !            19:   --   Evaluates the kth Chebychev polynomial at x.
        !            20:
        !            21:   -- REQUIRED : x lies in [-1,+1].
        !            22:
        !            23:   function Eval ( p : Vector; x : double_float ) return double_float;
        !            24:
        !            25:   -- DESCRIPTION :
        !            26:   --   Evaluates the polynomial at x.
        !            27:
        !            28:   function Diff ( p : Vector ) return Vector;
        !            29:
        !            30:   -- DESCRIPTION :
        !            31:   --   Returns the 1st derivative of p.
        !            32:
        !            33:   function Diff ( p : Vector; k : natural ) return Vector;
        !            34:
        !            35:   -- DESCRIPTION :
        !            36:   --   Returns the kth derivative of the polynomial p.
        !            37:
        !            38:   function Int ( p : Vector ) return Vector;
        !            39:
        !            40:   -- DESCRIPTION :
        !            41:   --   Returns the antiderivative of p.
        !            42:
        !            43:   function Int ( p : Vector; k : natural ) return Vector;
        !            44:
        !            45:   -- DESCRIPTION :
        !            46:   --   Returns the kth antiderivative of p.
        !            47:
        !            48: end Chebychev_Polynomials;