contfrac-package {contfrac}R Documentation

Continued fractions

Description

Various utilities for manipulating continued fractions

Details

Package: contfrac
Type: Package
Version: 1.0
Date: 2008-04-04
License: GPL

Author(s)

Robin K. S. Hankin

Maintainer: <rksh1@cam.ac.uk>

References

Examples

  # Some convergents of pi:
  jj <- convergents(c(3,7,15,1,292))
  jj$A / jj$B - pi

  # An identity of Euler's:
  jj <- GCF(a=seq(from=2,by=2,len=30), b=seq(from=3,by=2,len=30), b0=1) 
  jj - 1/(exp(0.5)-1)   # should be small

  # Now a continued fraction representation of tan(z):
  tan_cf <- function(z,n=14){ GCF(c(z,rep(-z^2,n-1)), seq(from=1,by=2,len=n)) }

  tan_cf(1+1i) - tan(1+1i)   # should be small

[Package contfrac version 1.1-7 Index]