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Release calc version 2.11.0t10.5.1
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/*
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* unixfrac - represent a fraction as a sum of distince unit fractions
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*
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* Copyright (C) 1999 David I. Bell
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*
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* Calc is open software; you can redistribute it and/or modify it under
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* the terms of the version 2.1 of the GNU Lesser General Public License
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* as published by the Free Software Foundation.
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*
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* Calc is distributed in the hope that it will be useful, but WITHOUT
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* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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* or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
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* Public License for more details.
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*
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* A copy of version 2.1 of the GNU Lesser General Public License is
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* distributed with calc under the filename COPYING-LGPL. You should have
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* received a copy with calc; if not, write to Free Software Foundation, Inc.
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* 59 Temple Place, Suite 330, Boston, MA 02111-1307, USA.
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*
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* @(#) $Revision: 29.1 $
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* @(#) $Id: unitfrac.cal,v 29.1 1999/12/14 09:15:34 chongo Exp $
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* @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/unitfrac.cal,v $
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*
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* Under source code control: 1990/02/15 01:50:38
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* File existed as early as: before 1990
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*
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* Share and enjoy! :-) http://reality.sgi.com/chongo/tech/comp/calc/
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*/
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/*
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* Represent a fraction as sum of distinct unit fractions.
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* The output is the unit fractions themselves, and in square brackets,
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* the number of digits in the numerator and denominator of the value left
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* to be found. Numbers larger than 3.5 become very difficult to calculate.
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*/
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define unitfrac(x)
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{
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local d, di, n;
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if (x <= 0)
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quit "Non-positive argument";
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d = 2;
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do {
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n = int(1 / x) + 1;
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if (n > d)
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d = n;
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di = 1/d;
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print ' [': digits(num(x)): '/': digits(den(x)): ']',, di;
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x -= di;
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d++;
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} while ((num(x) > 1) || (x == di) || (x == 1));
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print ' [1/1]',, x;
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}
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