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Commit 2359172a authored by George Spelvin's avatar George Spelvin Committed by Linus Torvalds
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lib: vsprintf: optimize division by 10000



The same multiply-by-inverse technique can be used to convert division by
10000 to a 32x32->64-bit multiply.

Signed-off-by: default avatarGeorge Spelvin <linux@horizon.com>
Cc: Denys Vlasenko <vda.linux@googlemail.com>
Cc: Michal Nazarewicz <mina86@mina86.com>
Signed-off-by: default avatarAndrew Morton <akpm@linux-foundation.org>
Signed-off-by: default avatarLinus Torvalds <torvalds@linux-foundation.org>
parent e49317d4
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+33 −27
Original line number Diff line number Diff line
@@ -245,17 +245,32 @@ char *put_dec(char *buf, unsigned long long n)

/* See comment in put_dec_full9 for choice of constants */
static noinline_for_stack
char *put_dec_full4(char *buf, unsigned q)
void put_dec_full4(char *buf, unsigned q)
{
	unsigned r;
	r      = (q * 0xccd) >> 15;
	*buf++ = (q - 10 * r) + '0';
	buf[0] = (q - 10 * r) + '0';
	q      = (r * 0xcd) >> 11;
	*buf++ = (r - 10 * q)  + '0';
	buf[1] = (r - 10 * q)  + '0';
	r      = (q * 0xcd) >> 11;
	*buf++ = (q - 10 * r)  + '0';
	*buf++ = r + '0';
	return buf;
	buf[2] = (q - 10 * r)  + '0';
	buf[3] = r + '0';
}

/*
 * Call put_dec_full4 on x % 10000, return x / 10000.
 * The approximation x/10000 == (x * 0x346DC5D7) >> 43
 * holds for all x < 1,128,869,999.  The largest value this
 * helper will ever be asked to convert is 1,125,520,955.
 * (d1 in the put_dec code, assuming n is all-ones).
 */
static
unsigned put_dec_helper4(char *buf, unsigned x)
{
        uint32_t q = (x * (uint64_t)0x346DC5D7) >> 43;

        put_dec_full4(buf, x - q * 10000);
        return q;
}

/* Based on code by Douglas W. Jones found at
@@ -277,28 +292,19 @@ char *put_dec(char *buf, unsigned long long n)
	d3  = (h >> 16); /* implicit "& 0xffff" */

	q   = 656 * d3 + 7296 * d2 + 5536 * d1 + ((uint32_t)n & 0xffff);
	q = put_dec_helper4(buf, q);

	q += 7671 * d3 + 9496 * d2 + 6 * d1;
	q = put_dec_helper4(buf+4, q);

	q += 4749 * d3 + 42 * d2;
	q = put_dec_helper4(buf+8, q);

	buf = put_dec_full4(buf, q % 10000);
	q   = q / 10000;

	d1  = q + 7671 * d3 + 9496 * d2 + 6 * d1;
	buf = put_dec_full4(buf, d1 % 10000);
	q   = d1 / 10000;

	d2  = q + 4749 * d3 + 42 * d2;
	buf = put_dec_full4(buf, d2 % 10000);
	q   = d2 / 10000;

	d3  = q + 281 * d3;
	if (!d3)
		goto done;
	buf = put_dec_full4(buf, d3 % 10000);
	q   = d3 / 10000;
	if (!q)
		goto done;
	buf = put_dec_full4(buf, q);
 done:
	while (buf[-1] == '0')
	q += 281 * d3;
	buf += 12;
	if (q)
		buf = put_dec_trunc8(buf, q);
	else while (buf[-1] == '0')
		--buf;

	return buf;