fract.icn: Program to approximate real number as a fraction

October 26, 1999; Ralph E. Griswold
This file is in the public domain.
This program produces successive rational approximations to a real
number.

The options supported are:

     -n r    real number to be approximated, default .6180339887498948482
                (see below)

     -l i    limit on number of approximations, default 100 (unlikely to
                be reached).
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This program was translated from a C program by Gregg Townsend.  His
documentation includes the following remarks.

 rational mode based on a calculator algorithm posted by:

     Joseph D. Rudmin  (duke!dukempd!jdr)
     Duke University Physics Dept.
     Aug 19, 1987

 n.b. for an interesting sequence try "fract .6180339887498948482".
 Do you know why?  (Hint: "Leonardo of Pisa").

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