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: George Spelvin <linux@horizon.com> Cc: Denys Vlasenko <vda.linux@googlemail.com> Cc: Michal Nazarewicz <mina86@mina86.com> Signed-off-by: Andrew Morton <akpm@linux-foundation.org> Signed-off-by: Linus Torvalds <torvalds@linux-foundation.org>
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@ -245,17 +245,32 @@ char *put_dec(char *buf, unsigned long long n)
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/* See comment in put_dec_full9 for choice of constants */
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static noinline_for_stack
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char *put_dec_full4(char *buf, unsigned q)
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void put_dec_full4(char *buf, unsigned q)
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{
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unsigned r;
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r = (q * 0xccd) >> 15;
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*buf++ = (q - 10 * r) + '0';
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buf[0] = (q - 10 * r) + '0';
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q = (r * 0xcd) >> 11;
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*buf++ = (r - 10 * q) + '0';
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buf[1] = (r - 10 * q) + '0';
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r = (q * 0xcd) >> 11;
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*buf++ = (q - 10 * r) + '0';
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*buf++ = r + '0';
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return buf;
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buf[2] = (q - 10 * r) + '0';
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buf[3] = r + '0';
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}
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/*
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* Call put_dec_full4 on x % 10000, return x / 10000.
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* The approximation x/10000 == (x * 0x346DC5D7) >> 43
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* holds for all x < 1,128,869,999. The largest value this
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* helper will ever be asked to convert is 1,125,520,955.
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* (d1 in the put_dec code, assuming n is all-ones).
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*/
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static
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unsigned put_dec_helper4(char *buf, unsigned x)
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{
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uint32_t q = (x * (uint64_t)0x346DC5D7) >> 43;
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put_dec_full4(buf, x - q * 10000);
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return q;
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}
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/* Based on code by Douglas W. Jones found at
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@ -277,28 +292,19 @@ char *put_dec(char *buf, unsigned long long n)
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d3 = (h >> 16); /* implicit "& 0xffff" */
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q = 656 * d3 + 7296 * d2 + 5536 * d1 + ((uint32_t)n & 0xffff);
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q = put_dec_helper4(buf, q);
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buf = put_dec_full4(buf, q % 10000);
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q = q / 10000;
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q += 7671 * d3 + 9496 * d2 + 6 * d1;
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q = put_dec_helper4(buf+4, q);
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d1 = q + 7671 * d3 + 9496 * d2 + 6 * d1;
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buf = put_dec_full4(buf, d1 % 10000);
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q = d1 / 10000;
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q += 4749 * d3 + 42 * d2;
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q = put_dec_helper4(buf+8, q);
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d2 = q + 4749 * d3 + 42 * d2;
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buf = put_dec_full4(buf, d2 % 10000);
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q = d2 / 10000;
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d3 = q + 281 * d3;
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if (!d3)
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goto done;
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buf = put_dec_full4(buf, d3 % 10000);
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q = d3 / 10000;
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if (!q)
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goto done;
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buf = put_dec_full4(buf, q);
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done:
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while (buf[-1] == '0')
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q += 281 * d3;
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buf += 12;
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if (q)
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buf = put_dec_trunc8(buf, q);
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else while (buf[-1] == '0')
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--buf;
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return buf;
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