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d2829224 FF |
1 | #include <linux/kernel.h> |
2 | #include <linux/gcd.h> | |
8bc3bcc9 | 3 | #include <linux/export.h> |
d2829224 | 4 | |
fff7fb0b ZZ |
5 | /* |
6 | * This implements the binary GCD algorithm. (Often attributed to Stein, | |
7 | * but as Knuth has noted, appears in a first-century Chinese math text.) | |
8 | * | |
9 | * This is faster than the division-based algorithm even on x86, which | |
10 | * has decent hardware division. | |
11 | */ | |
12 | ||
13 | #if !defined(CONFIG_CPU_NO_EFFICIENT_FFS) && !defined(CPU_NO_EFFICIENT_FFS) | |
14 | ||
15 | /* If __ffs is available, the even/odd algorithm benchmarks slower. */ | |
341e9a32 RD |
16 | |
17 | /** | |
18 | * gcd - calculate and return the greatest common divisor of 2 unsigned longs | |
19 | * @a: first value | |
20 | * @b: second value | |
21 | */ | |
d2829224 FF |
22 | unsigned long gcd(unsigned long a, unsigned long b) |
23 | { | |
fff7fb0b ZZ |
24 | unsigned long r = a | b; |
25 | ||
26 | if (!a || !b) | |
27 | return r; | |
d2829224 | 28 | |
fff7fb0b ZZ |
29 | b >>= __ffs(b); |
30 | if (b == 1) | |
31 | return r & -r; | |
e9687567 | 32 | |
fff7fb0b ZZ |
33 | for (;;) { |
34 | a >>= __ffs(a); | |
35 | if (a == 1) | |
36 | return r & -r; | |
37 | if (a == b) | |
38 | return a << __ffs(r); | |
39 | ||
40 | if (a < b) | |
41 | swap(a, b); | |
42 | a -= b; | |
d2829224 | 43 | } |
d2829224 | 44 | } |
fff7fb0b ZZ |
45 | |
46 | #else | |
47 | ||
48 | /* If normalization is done by loops, the even/odd algorithm is a win. */ | |
49 | unsigned long gcd(unsigned long a, unsigned long b) | |
50 | { | |
51 | unsigned long r = a | b; | |
52 | ||
53 | if (!a || !b) | |
54 | return r; | |
55 | ||
56 | /* Isolate lsbit of r */ | |
57 | r &= -r; | |
58 | ||
59 | while (!(b & r)) | |
60 | b >>= 1; | |
61 | if (b == r) | |
62 | return r; | |
63 | ||
64 | for (;;) { | |
65 | while (!(a & r)) | |
66 | a >>= 1; | |
67 | if (a == r) | |
68 | return r; | |
69 | if (a == b) | |
70 | return a; | |
71 | ||
72 | if (a < b) | |
73 | swap(a, b); | |
74 | a -= b; | |
75 | a >>= 1; | |
76 | if (a & r) | |
77 | a += b; | |
78 | a >>= 1; | |
79 | } | |
80 | } | |
81 | ||
82 | #endif | |
83 | ||
d2829224 | 84 | EXPORT_SYMBOL_GPL(gcd); |