Return to osculating_planes.ads CVS log

Up to [local] / OpenXM_contrib / PHC / Ada / Schubert

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

1.1       maekawa     1: with Standard_Floating_Numbers;          use Standard_Floating_Numbers;
                      2: with Standard_Floating_Matrices;         use Standard_Floating_Matrices;
                      3:
                      4: package Osculating_Planes is
                      5:
                      6: -- DESCRIPTION :
                      7: --   This package provides routines for generating osculating planes.
                      8:
                      9:   function Standard_Basis ( n,d : natural; s : double_float ) return Matrix;
                     10:
                     11:   -- DESCRIPTION :
                     12:   --   Returns a d-plane in n-space using the standard monomial basis.
                     13:   --   The first column contains the first n standard monomials.
                     14:   --   The kth column contains the kth derivative, scaled such that the
                     15:   --   diagonal elements are all one.  All polynomials are evaluated at s.
                     16:
                     17:   function Chebychev_Basis ( n,d : natural; s : double_float ) return Matrix;
                     18:
                     19:   -- DESCRIPTION :
                     20:   --   Returns a d-plane in n-space using the Chebychev polynomials.
                     21:   --   The first column contains the first n Chebychev polynomials.
                     22:   --   The kth column contains the kth derivative, scaled such that the
                     23:   --   diagonal elements are all one.  All polynomials are evaluated at s.
                     24:
                     25:   function Orthogonal_Basis ( n,d : natural; s : double_float ) return Matrix;
                     26:
                     27:   -- DESCRIPTION :
                     28:   --   Returns a d-plane in n-space as an orthognal matrix.
                     29:
                     30:   procedure Sampled_Chebychev_Basis
                     31:                                ( n,d,m : in natural; mat : out Matrix;
                     32:                   s,ratio : out double_float );
                     33:
                     34:   -- DESCRIPTION :
                     35:   --   Generates m values for s and keeps the one with lowest ratio
                     36:   --   max/min for all d-minors in the matrix.
                     37:
                     38: end Osculating_Planes;