https://github.com/torvalds/linux
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- v5.5
- v5.4-rc8
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- v5.2
- v5.19-rc8
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- v5.19-rc1
- v5.19
- v5.18-rc7
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- v5.18
- v5.17-rc8
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- v5.17-rc1
- v5.17
- v5.16-rc8
- v5.16-rc7
- v5.16-rc6
- v5.16-rc5
- v5.16-rc4
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- v5.16-rc1
- v5.16
- v5.15-rc7
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- v5.15-rc5
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- v5.15-rc1
- v5.15
- v5.14-rc7
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- v5.14-rc5
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- v5.14-rc2
- v5.14-rc1
- v5.14
- v5.13-rc7
- v5.13-rc6
- v5.13-rc5
- v5.13-rc4
- v5.13-rc3
- v5.13-rc2
- v5.13-rc1
- v5.13
- v5.12-rc8
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- v5.12-rc5
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- v5.12-rc3
- v5.12-rc2
- v5.12-rc1
- v5.12
- v5.11-rc7
- v5.11-rc6
- v5.11-rc5
- v5.11-rc4
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- v5.11-rc2
- v5.11-rc1
- v5.11
- v5.10-rc7
- v5.10-rc6
- v5.10-rc5
- v5.10-rc4
- v5.10-rc3
- v5.10-rc2
- v5.10-rc1
- v5.10
- v5.1-rc7
- v5.1-rc6
- v5.1-rc5
- v5.1-rc4
- v5.1-rc3
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- v5.1
- v5.0-rc8
- v5.0-rc7
- v5.0-rc6
- v5.0-rc5
- v5.0-rc4
- v5.0-rc3
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- v5.0
- v4.9-rc8
- v4.9-rc7
- v4.9-rc6
- v4.9-rc5
- v4.9-rc4
- v4.9-rc3
- v4.9-rc2
- v4.9-rc1
- v4.9
- v4.8-rc8
- v4.8-rc7
- v4.8-rc6
- v4.8-rc5
- v4.8-rc4
- v4.8-rc3
- v4.8-rc2
- v4.8-rc1
- v4.8
- v4.7-rc7
- v4.7-rc6
- v4.7-rc5
- v4.7-rc4
- v4.7-rc3
- v4.7-rc2
- v4.7-rc1
- v4.7
- v4.6-rc7
- v4.6-rc6
- v4.6-rc5
- v4.6-rc4
- v4.6-rc3
- v4.6-rc2
- v4.6-rc1
- v4.6
- v4.5-rc7
- v4.5-rc6
- v4.5-rc5
- v4.5-rc4
- v4.5-rc3
- v4.5-rc2
- v4.5-rc1
- v4.5
- v4.4-rc8
- v4.4-rc7
- v4.4-rc6
- v4.4-rc5
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- v4.4-rc3
- v4.4-rc2
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- v4.4
- v4.3-rc7
- v4.3-rc6
- v4.3-rc5
- v4.3-rc4
- v4.3-rc3
- v4.3-rc2
- v4.3-rc1
- v4.3
- v4.20-rc7
- v4.20-rc6
- v4.20-rc5
- v4.20-rc4
- v4.20-rc3
- v4.20-rc2
- v4.20-rc1
- v4.20
- v4.2-rc8
- v4.2-rc7
- v4.2-rc6
- v4.2-rc5
- v4.2-rc4
- v4.2-rc3
- v4.2-rc2
- v4.2-rc1
- v4.2
- v4.19-rc8
- v4.19-rc7
- v4.19-rc6
- v4.19-rc5
- v4.19-rc4
- v4.19-rc3
- v4.19-rc2
- v4.19-rc1
- v4.19
- v4.18-rc8
- v4.18-rc7
- v4.18-rc6
- v4.18-rc5
- v4.18-rc4
- v4.18-rc3
- v4.18-rc2
- v4.18-rc1
- v4.18
- v4.17-rc7
- v4.17-rc6
- v4.17-rc5
- v4.17-rc4
- v4.17-rc3
- v4.17-rc2
- v4.17-rc1
- v4.17
- v4.16-rc7
- v4.16-rc6
- v4.16-rc5
- v4.16-rc4
- v4.16-rc3
- v4.16-rc2
- v4.16-rc1
- v4.16
- v4.15-rc9
- v4.15-rc8
- v4.15-rc7
- v4.15-rc6
- v4.15-rc5
- v4.15-rc4
- v4.15-rc3
- v4.15-rc2
- v4.15-rc1
- v4.15
- v4.14-rc8
- v4.14-rc7
- v4.14-rc6
- v4.14-rc5
- v4.14-rc4
- v4.14-rc3
- v4.14-rc2
- v4.14-rc1
- v4.14
- v4.13-rc7
- v4.13-rc6
- v4.13-rc5
- v4.13-rc4
- v4.13-rc3
- v4.13-rc2
- v4.13-rc1
- v4.13
- v4.12-rc7
- v4.12-rc6
- v4.12-rc5
- v4.12-rc4
- v4.12-rc3
- v4.12-rc2
- v4.12-rc1
- v4.12
- v4.11-rc8
- v4.11-rc7
- v4.11-rc6
- v4.11-rc5
- v4.11-rc4
- v4.11-rc3
- v4.11-rc2
- v4.11-rc1
- v4.11
- v4.10-rc8
- v4.10-rc7
- v4.10-rc6
- v4.10-rc5
- v4.10-rc4
- v4.10-rc3
- v4.10-rc2
- v4.10-rc1
- v4.10
- v4.1-rc8
- v4.1-rc7
- v4.1-rc6
- v4.1-rc5
- v4.1-rc4
- v4.1-rc3
- v4.1-rc2
- v4.1-rc1
- v4.1
- v4.0-rc7
- v4.0-rc6
- v4.0-rc5
- v4.0-rc4
- v4.0-rc3
- v4.0-rc2
- v4.0-rc1
- v4.0
- v3.9-rc8
- v3.9-rc7
- v3.9-rc6
- v3.9-rc5
- v3.9-rc4
- v3.9-rc3
- v3.9-rc2
- v3.9-rc1
- v3.9
- v3.8-rc7
- v3.8-rc6
- v3.8-rc5
- v3.8-rc4
- v3.8-rc3
- v3.8-rc2
- v3.8-rc1
- v3.8
- v3.7-rc8
- v3.7-rc7
- v3.7-rc6
- v3.7-rc5
- v3.7-rc4
- v3.7-rc3
- v3.7-rc2
- v3.7-rc1
- v3.7
- v3.6-rc7
- v3.6-rc6
- v3.6-rc5
- v3.6-rc4
- v3.6-rc3
- v3.6-rc2
- v3.6-rc1
- v3.6
- v3.5-rc7
- v3.5-rc6
- v3.5-rc5
- v3.5-rc4
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- v3.5-rc1
- v3.5
- v3.4-rc7
- v3.4-rc6
- v3.4-rc5
- v3.4-rc4
- v3.4-rc3
- v3.4-rc2
- v3.4-rc1
- v3.4
- v3.3-rc7
- v3.3-rc6
- v3.3-rc5
- v3.3-rc4
- v3.3-rc3
- v3.3-rc2
- v3.3-rc1
- v3.3
- v3.2-rc7
- v3.2-rc6
- v3.2-rc5
- v3.2-rc4
- v3.2-rc3
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- v3.2-rc1
- v3.2
- v3.19-rc7
- v3.19-rc6
- v3.19-rc5
- v3.19-rc4
- v3.19-rc3
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- v3.19-rc1
- v3.19
- v3.18-rc7
- v3.18-rc6
- v3.18-rc5
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- v3.18
- v3.17-rc7
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- v3.17-rc5
- v3.17-rc4
- v3.17-rc3
- v3.17-rc2
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- v3.17
- v3.16-rc7
- v3.16-rc6
- v3.16-rc5
- v3.16-rc4
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- v3.16-rc1
- v3.16
- v3.15-rc8
- v3.15-rc7
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- v3.15-rc5
- v3.15-rc4
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- v3.15-rc2
- v3.15-rc1
- v3.15
- v3.14-rc8
- v3.14-rc7
- v3.14-rc6
- v3.14-rc5
- v3.14-rc4
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- v3.14
- v3.13-rc8
- v3.13-rc7
- v3.13-rc6
- v3.13-rc5
- v3.13-rc4
- v3.13-rc3
- v3.13-rc2
- v3.13-rc1
- v3.13
- v3.12-rc7
- v3.12-rc6
- v3.12-rc5
- v3.12-rc4
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- v3.12-rc2
- v3.12-rc1
- v3.12
- v3.11-rc7
- v3.11-rc6
- v3.11-rc5
- v3.11-rc4
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- v3.11-rc1
- v3.11
- v3.10-rc7
- v3.10-rc6
- v3.10-rc5
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- v3.10-rc3
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- v3.10
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- v3.0-rc7
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- v2.6.39-rc7
- v2.6.39-rc6
- v2.6.39-rc5
- v2.6.39-rc4
- v2.6.39-rc3
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- v2.6.39
- v2.6.38-rc8
- v2.6.38-rc7
- v2.6.38-rc6
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- v2.6.38-rc4
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- v2.6.38
- v2.6.37-rc8
- v2.6.37-rc7
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- v2.6.37
- v2.6.36-rc8
- v2.6.36-rc7
- v2.6.36-rc6
- v2.6.36-rc5
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- v2.6.36
- v2.6.35-rc6
- v2.6.35-rc5
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- v2.6.34-rc7
- v2.6.34-rc6
- v2.6.34-rc5
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- v2.6.33-rc8
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- v2.6.31-rc9
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- v2.6.16
- v2.6.15-rc7
- v2.6.15-rc6
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Tip revision: 19f949f52599ba7c3f67a5897ac6be14bfcb1200 authored by Linus Torvalds on 18 February 2013, 23:58:34 UTC
Linux 3.8
Linux 3.8
Tip revision: 19f949f
rational.c
/*
* 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);