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Annotation of OpenXM_contrib/PHC/Ada/Schubert/chebychev_polynomials.ads, Revision 1.1.1.1

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;