SPLINE(VI) 10/20/73 SPLINE(VI)





SPLINE(VI)                  10/20/73                   SPLINE(VI)







NAME

     spline - interpolate smooth curve



SYNOPSIS

     spline [ option ] ...



DESCRIPTION

     Spline takes pairs of numbers from  the  standard  input  as

     abcissas and ordinates of a function.  It produces a similar

     set, which is approximately equally spaced and includes  the

     input  set, on the standard output.  The cubic spline output

     (R.  W.  Hamming,  Numerical  Methods  for   Engineers   and

     Scientists,  2nd ed., 349ff) has two continuous derivatives,

     and sufficiently many points to look  smooth  when  plotted,

     for example by plot (I).



     The following options are recognized,  each  as  a  separate

     argument.



     a     Supply abscissas automatically (they are missing  from

          the  input);  spacing is given by the next argument, or

          is assumed to be 1 if next argument is not a number.



     n     Output approximately n points, where n is given by the

          next argument.  (Default n = 100.)



     p     Make output periodic, i.e. match derivatives at  ends.

          First and last input values should normally agree.



     x     Next 1 (or  2)  arguments  are  lower  (and  upper)  x

          limits.



SEE ALSO

     plot(I)



AUTHOR

     M. D. McIlroy



BUGS

     A limit of 1000 input points is enforced silently.
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