^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1) // SPDX-License-Identifier: GPL-2.0
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 2) /*
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 3) * Copyright (C) 2013 Davidlohr Bueso <davidlohr.bueso@hp.com>
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 4) *
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 5) * Based on the shift-and-subtract algorithm for computing integer
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 6) * square root from Guy L. Steele.
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 7) */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 8)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 9) #include <linux/kernel.h>
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 10) #include <linux/export.h>
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 11) #include <linux/bitops.h>
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 12)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 13) /**
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 14) * int_sqrt - computes the integer square root
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 15) * @x: integer of which to calculate the sqrt
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 16) *
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 17) * Computes: floor(sqrt(x))
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 18) */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 19) unsigned long int_sqrt(unsigned long x)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 20) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 21) unsigned long b, m, y = 0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 22)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 23) if (x <= 1)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 24) return x;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 25)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 26) m = 1UL << (__fls(x) & ~1UL);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 27) while (m != 0) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 28) b = y + m;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 29) y >>= 1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 30)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 31) if (x >= b) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 32) x -= b;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 33) y += m;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 34) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 35) m >>= 2;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 36) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 37)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 38) return y;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 39) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 40) EXPORT_SYMBOL(int_sqrt);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 41)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 42) #if BITS_PER_LONG < 64
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 43) /**
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 44) * int_sqrt64 - strongly typed int_sqrt function when minimum 64 bit input
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 45) * is expected.
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 46) * @x: 64bit integer of which to calculate the sqrt
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 47) */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 48) u32 int_sqrt64(u64 x)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 49) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 50) u64 b, m, y = 0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 51)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 52) if (x <= ULONG_MAX)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 53) return int_sqrt((unsigned long) x);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 54)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 55) m = 1ULL << ((fls64(x) - 1) & ~1ULL);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 56) while (m != 0) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 57) b = y + m;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 58) y >>= 1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 59)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 60) if (x >= b) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 61) x -= b;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 62) y += m;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 63) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 64) m >>= 2;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 65) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 66)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 67) return y;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 68) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 69) EXPORT_SYMBOL(int_sqrt64);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 70) #endif