view scripts/elfun/gcd.m @ 904:3470f1e25a79

[project @ 1994-11-09 21:22:15 by jwe]
author jwe
date Wed, 09 Nov 1994 21:22:15 +0000
parents 6544b83ef9e9
children 9fc405c8c06c
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function [g, v] = gcd (a, ...)
  
# [g [, v]] = gcd (a) returns the greatest common divisor g of the
# entries of the integer vector a, and an integer vector v such that
# g = v(1) * a(k) + ... + v(k) * a(k).
#
# [g [, v]] = gcd (a1, ..., ak) is the same with a = [a1, ..., ak].
  
# Written by KH (Kurt.Hornik@ci.tuwien.ac.at) on Sep 16, 1994
# Copyright Dept of Statistics and Probability Theory TU Wien

  if (nargin > 1)
    va_start;
    for k = 2:nargin;
      a = [a, va_arg ()];
    endfor
  endif
  
  if (round (a) != a)
    error ("gcd:  all arguments must be integer");
  endif
  
  g = abs (a(1));
  v = sign (a(1));
  for k = 1:(length (a) - 1)
    x = [g, 1, 0];
    y = [abs (a(k+1)), 0, 1];
    while (y(1) > 0)
      r = x - y * floor (x(1) / y(1));
      x = y;
      y = r;
    endwhile
    g = x(1);
    v = [x(2) * v, x(3) * sign (a(k+1))];
  endfor
    
endfunction