/*
 * rational fractions
 *
 * Copyright (C) 2009 emlix GmbH, Oskar Schirmer <oskar@scara.com>
 *
 * helper functions when coping with rational numbers
 */

#include <linux/rational.h>
#include <linux/compiler.h>
#include <linux/export.h>

/*
 * calculate best rational approximation for a given fraction
 * taking into account restricted register size, e.g. to find
 * appropriate values for a pll with 5 bit denominator and
 * 8 bit numerator register fields, trying to set up with a
 * frequency ratio of 3.1415, one would say:
 *
 * rational_best_approximation(31415, 10000,
 *		(1 << 8) - 1, (1 << 5) - 1, &n, &d);
 *
 * you may look at given_numerator as a fixed point number,
 * with the fractional part size described in given_denominator.
 *
 * for theoretical background, see:
 * http://en.wikipedia.org/wiki/Continued_fraction
 */

void rational_best_approximation(
	unsigned long given_numerator, unsigned long given_denominator,
	unsigned long max_numerator, unsigned long max_denominator,
	unsigned long *best_numerator, unsigned long *best_denominator)
{
	unsigned long n, d, n0, d0, n1, d1;
	n = given_numerator;
	d = given_denominator;
	n0 = d1 = 0;
	n1 = d0 = 1;
	for (;;) {
		unsigned long t, a;
		if ((n1 > max_numerator) || (d1 > max_denominator)) {
			n1 = n0;
			d1 = d0;
			break;
		}
		if (d == 0)
			break;
		t = d;
		a = n / d;
		d = n % d;
		n = t;
		t = n0 + a * n1;
		n0 = n1;
		n1 = t;
		t = d0 + a * d1;
		d0 = d1;
		d1 = t;
	}
	*best_numerator = n1;
	*best_denominator = d1;
}

EXPORT_SYMBOL(rational_best_approximation);
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<tr><th>author</th><td>Linus Torvalds &lt;torvalds@linux-foundation.org&gt;</td><td class='right'>2016-10-15 12:17:50 -0700</td></tr>
<tr><th>committer</th><td>Linus Torvalds &lt;torvalds@linux-foundation.org&gt;</td><td class='right'>2016-10-15 12:17:50 -0700</td></tr>
<tr><th>commit</th><td colspan='2' class='oid'><a href='/cgit.cgi/linux/net-next.git/commit/tools/perf/util/bpf-loader.h?h=nds-private-remove&amp;id=1001354ca34179f3db924eb66672442a173147dc'>1001354ca34179f3db924eb66672442a173147dc</a> (<a href='/cgit.cgi/linux/net-next.git/patch/tools/perf/util/bpf-loader.h?id=1001354ca34179f3db924eb66672442a173147dc'>patch</a>)</td></tr>
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<div class='commit-subject'>Linux 4.9-rc1</div><div class='commit-msg'></div><div class='diffstat-header'><a href='/cgit.cgi/linux/net-next.git/diff/?h=nds-private-remove&amp;id=1001354ca34179f3db924eb66672442a173147dc'>Diffstat</a> (limited to 'tools/perf/util/bpf-loader.h')</div><table summary='diffstat' class='diffstat'>