FAST_DIVIDE32(3)

FAST_DIVIDE32(3) | Library Functions Manual | FAST_DIVIDE32(3)

# NAME

`fast_divide32`, `fast_divide32_prepare`, `fast_remainder32` —
fast 32bit division and remainder

# SYNOPSIS

`#include <sys/bitops.h>`

uint32_t
`fast_divide32`(uint32_t v, uint32_t div, uint32_t m, uint8_t s1, uint8_t s2);

uint32_t
`fast_remainder32`(uint32_t v, uint32_t div, uint32_t m, uint8_t s1, uint8_t s2);

void
`fast_divide32_prepare`(uint32_t div, uint32_t *m, uint8_t *s1, uint8_t *s2);

# DESCRIPTION

The `fast_divide32` and `fast_remainder32` functions compute the equivalent of v / div and v % div using optimised CPU instructions. The constants m, s1, and s2 must first be preset for a given value of div with the `fast_divide32_prepare` function.

# RATIONALE

These functions are useful for inner loops and other performance-sensitive tasks. The functions expand to code that is typically slightly larger than a plain division instruction, but requires less time to execute. The code for constant div arguments should be equivalent to the assembly created by GCC.

# EXAMPLES

The following example computes q = a / b and r = a % b:

    uint32_t a, b, q, r, m;
    uint8_t s1, s2;

    fast_divide32_prepare(b, &m, &s1, &s2);

    q = fast_divide32(a, b, m, s1, s2);
    r = fast_remainder32(a, b, m, s1, s2);

# SEE ALSO

bitops(3), div(3), remainder(3)

Torbjörn Granlund and Peter L. Montgomery, Division by Invariant Integers Using Multiplication, ACM SIGPLAN Notices, Issue 6, Volume 29, http://gmplib.org/~tege/divcnst-pldi94.pdf, 61-72, June 1994.

# HISTORY

The `fast_divide32` function appeared in NetBSD 6.0.

May 10, 2011 | NetBSD 9.3