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1 /*
2 * Reciprocal divide
3 *
4 * Used with permission from original authors
5 * Hannes Frederic Sowa and Daniel Borkmann
6 *
7 * This algorithm is based on the paper "Division by Invariant
8 * Integers Using Multiplication" by Torbjörn Granlund and Peter
9 * L. Montgomery.
10 *
11 * The assembler implementation from Agner Fog, which this code is
12 * based on, can be found here:
13 * http://www.agner.org/optimize/asmlib.zip
14 *
15 * This optimization for A/B is helpful if the divisor B is mostly
16 * runtime invariant. The reciprocal of B is calculated in the
17 * slow-path with reciprocal_value(). The fast-path can then just use
18 * a much faster multiplication operation with a variable dividend A
19 * to calculate the division A/B.
20 */
21
22 #ifndef _RTE_RECIPROCAL_H_
23 #define _RTE_RECIPROCAL_H_
24
25 #include <stdint.h>
26
27 struct rte_reciprocal {
28 uint32_t m;
29 uint8_t sh1, sh2;
30 };
31
32 static inline uint32_t rte_reciprocal_divide(uint32_t a, struct rte_reciprocal R)
33 {
34 uint32_t t = (uint32_t)(((uint64_t)a * R.m) >> 32);
35
36 return (t + ((a - t) >> R.sh1)) >> R.sh2;
37 }
38
39 struct rte_reciprocal rte_reciprocal_value(uint32_t d);
40
41 #endif /* _RTE_RECIPROCAL_H_ */