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Annotation of OpenXM_contrib/PHC/Ada/Math_Lib/Polynomials/generic_polynomial_functions.ads, Revision 1.1

1.1     ! maekawa     1: with Abstract_Ring;
        !             2: with Generic_Vectors;
        !             3: with Generic_Polynomials;
        !             4:
        !             5: generic
        !             6:
        !             7:   with package Ring is new Abstract_Ring(<>);
        !             8:   with package Vectors is new Generic_Vectors(Ring);
        !             9:   with package Polynomials is new Generic_Polynomials(Ring);
        !            10:
        !            11: package Generic_Polynomial_Functions is
        !            12:
        !            13: -- DESCRIPTION :
        !            14: --   Besides the term by term evaluation, two special data structures are
        !            15: --   provided for efficient evaluation of polynomials in several variables.
        !            16:
        !            17:   use Ring,Vectors,Polynomials;
        !            18:
        !            19: -- FUNCTION TYPE :
        !            20:
        !            21:   type Evaluator is access function ( x : Vector ) return number;
        !            22:
        !            23: -- DATA STRUCTURES :
        !            24:
        !            25:   type Eval_Poly is private;
        !            26:   type Eval_Coeff_Poly is private;
        !            27:
        !            28: -- CONSTRUCTORS :
        !            29:
        !            30:   function Create ( p : Poly ) return Eval_Poly;
        !            31:   function Create ( p : Poly ) return Eval_Coeff_Poly;
        !            32:
        !            33:   procedure Diff ( p : in Poly; i : in integer;
        !            34:                    cp : out Eval_Coeff_Poly; m : out Vector );
        !            35:     -- evaluable coefficient polynomial of the partial derivative,
        !            36:     -- with m the multiplication factors of the coefficients of p
        !            37:
        !            38:   function Coeff ( p : Poly ) return Vector;    -- returns coefficient vector
        !            39:
        !            40: -- EVALUATORS :
        !            41:
        !            42:   function Eval ( p : Poly; x : number; i : integer ) return Poly;
        !            43:      -- return p(x1,..,xi=x,..,xn);
        !            44:      -- Number_of_Unknowns(Eval(p,x,i)) = Number_of_Unknowns(p)-1
        !            45:
        !            46:   function Eval ( d : Degrees; c : number; x : Vector ) return number;
        !            47:                                                             -- return c*x**d
        !            48:   function Eval ( t : Term; c : number; x : Vector ) return number;
        !            49:                                              -- return c*x**d, with d = t.dg
        !            50:   function Eval ( t : Term; x : Vector ) return number;
        !            51:
        !            52:   function Eval ( p : Poly; x : Vector ) return number;       -- return p(x)
        !            53:   function Eval ( p : Poly; c,x : Vector ) return number;
        !            54:                      -- return p(c,x), with c = vector of coefficients for p
        !            55:
        !            56:   function Eval ( p : Eval_Poly; x : Vector ) return number;  -- return p(x)
        !            57:   function Eval ( p : Eval_Coeff_Poly; c,x : Vector ) return number;
        !            58:      -- return p(c,x), with c = vector of coefficients for p
        !            59:
        !            60: -- DESTRUCTORS : deallocate memory.
        !            61:
        !            62:   procedure Clear ( p : in out Eval_Poly );
        !            63:   procedure Clear ( p : in out Eval_Coeff_Poly );
        !            64:
        !            65: private
        !            66:
        !            67:   type Eval_Poly_Rep;
        !            68:   type Eval_Coeff_Poly_Rep;
        !            69:
        !            70:   type Eval_Poly is access Eval_Poly_Rep;
        !            71:   type Eval_Coeff_Poly is access Eval_Coeff_Poly_Rep;
        !            72:
        !            73: end Generic_Polynomial_Functions;