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author | Andy Shevchenko <andriy.shevchenko@linux.intel.com> | 2019-05-15 01:43:05 +0300 |
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committer | Linus Torvalds <torvalds@linux-foundation.org> | 2019-05-15 05:52:49 +0300 |
commit | 2c64e9cb0b6b858901e9a386860d7d929d1cbaeb (patch) | |
tree | 749da0ef8f5d478680a523c877fb0e16fc18409c /lib/math/rational.c | |
parent | b5c56e0cdd62979dd538e5363b06be5bdf735a09 (diff) | |
download | linux-2c64e9cb0b6b858901e9a386860d7d929d1cbaeb.tar.xz |
lib: Move mathematic helpers to separate folder
For better maintenance and expansion move the mathematic helpers to the
separate folder.
No functional change intended.
Note, the int_sqrt() is not used as a part of lib, so, moved to regular
obj.
Link: http://lkml.kernel.org/r/20190323172531.80025-1-andriy.shevchenko@linux.intel.com
Signed-off-by: Andy Shevchenko <andriy.shevchenko@linux.intel.com>
Signed-off-by: Mauro Carvalho Chehab <mchehab+samsung@kernel.org>
Cc: Randy Dunlap <rdunlap@infradead.org>
Cc: Thierry Reding <thierry.reding@gmail.com>
Cc: Lee Jones <lee.jones@linaro.org>
Cc: Daniel Thompson <daniel.thompson@linaro.org>
Cc: Ray Jui <rjui@broadcom.com>
[mchehab+samsung@kernel.org: fix broken doc references for div64.c and gcd.c]
Link: http://lkml.kernel.org/r/734f49bae5d4052b3c25691dfefad59bea2e5843.1555580999.git.mchehab+samsung@kernel.org
Signed-off-by: Andrew Morton <akpm@linux-foundation.org>
Signed-off-by: Linus Torvalds <torvalds@linux-foundation.org>
Diffstat (limited to 'lib/math/rational.c')
-rw-r--r-- | lib/math/rational.c | 65 |
1 files changed, 65 insertions, 0 deletions
diff --git a/lib/math/rational.c b/lib/math/rational.c new file mode 100644 index 000000000000..ba7443677c90 --- /dev/null +++ b/lib/math/rational.c @@ -0,0 +1,65 @@ +// SPDX-License-Identifier: GPL-2.0 +/* + * 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); |