1*4882a593Smuzhiyun /*
2*4882a593Smuzhiyun * Copyright (C) 2003 Bernardo Innocenti <bernie@develer.com>
3*4882a593Smuzhiyun *
4*4882a593Smuzhiyun * Based on former do_div() implementation from asm-parisc/div64.h:
5*4882a593Smuzhiyun * Copyright (C) 1999 Hewlett-Packard Co
6*4882a593Smuzhiyun * Copyright (C) 1999 David Mosberger-Tang <davidm@hpl.hp.com>
7*4882a593Smuzhiyun *
8*4882a593Smuzhiyun *
9*4882a593Smuzhiyun * Generic C version of 64bit/32bit division and modulo, with
10*4882a593Smuzhiyun * 64bit result and 32bit remainder.
11*4882a593Smuzhiyun *
12*4882a593Smuzhiyun * The fast case for (n>>32 == 0) is handled inline by do_div().
13*4882a593Smuzhiyun *
14*4882a593Smuzhiyun * Code generated for this function might be very inefficient
15*4882a593Smuzhiyun * for some CPUs. __div64_32() can be overridden by linking arch-specific
16*4882a593Smuzhiyun * assembly versions such as arch/ppc/lib/div64.S and arch/sh/lib/div64.S
17*4882a593Smuzhiyun * or by defining a preprocessor macro in arch/include/asm/div64.h.
18*4882a593Smuzhiyun */
19*4882a593Smuzhiyun
20*4882a593Smuzhiyun #include <linux/compat.h>
21*4882a593Smuzhiyun #include <linux/kernel.h>
22*4882a593Smuzhiyun #include <linux/math64.h>
23*4882a593Smuzhiyun
24*4882a593Smuzhiyun /* Not needed on 64bit architectures */
25*4882a593Smuzhiyun #if BITS_PER_LONG == 32
26*4882a593Smuzhiyun
27*4882a593Smuzhiyun #ifndef __div64_32
__div64_32(uint64_t * n,uint32_t base)28*4882a593Smuzhiyun uint32_t __attribute__((weak)) __div64_32(uint64_t *n, uint32_t base)
29*4882a593Smuzhiyun {
30*4882a593Smuzhiyun uint64_t rem = *n;
31*4882a593Smuzhiyun uint64_t b = base;
32*4882a593Smuzhiyun uint64_t res, d = 1;
33*4882a593Smuzhiyun uint32_t high = rem >> 32;
34*4882a593Smuzhiyun
35*4882a593Smuzhiyun /* Reduce the thing a bit first */
36*4882a593Smuzhiyun res = 0;
37*4882a593Smuzhiyun if (high >= base) {
38*4882a593Smuzhiyun high /= base;
39*4882a593Smuzhiyun res = (uint64_t) high << 32;
40*4882a593Smuzhiyun rem -= (uint64_t) (high*base) << 32;
41*4882a593Smuzhiyun }
42*4882a593Smuzhiyun
43*4882a593Smuzhiyun while ((int64_t)b > 0 && b < rem) {
44*4882a593Smuzhiyun b = b+b;
45*4882a593Smuzhiyun d = d+d;
46*4882a593Smuzhiyun }
47*4882a593Smuzhiyun
48*4882a593Smuzhiyun do {
49*4882a593Smuzhiyun if (rem >= b) {
50*4882a593Smuzhiyun rem -= b;
51*4882a593Smuzhiyun res += d;
52*4882a593Smuzhiyun }
53*4882a593Smuzhiyun b >>= 1;
54*4882a593Smuzhiyun d >>= 1;
55*4882a593Smuzhiyun } while (d);
56*4882a593Smuzhiyun
57*4882a593Smuzhiyun *n = res;
58*4882a593Smuzhiyun return rem;
59*4882a593Smuzhiyun }
60*4882a593Smuzhiyun EXPORT_SYMBOL(__div64_32);
61*4882a593Smuzhiyun #endif
62*4882a593Smuzhiyun
63*4882a593Smuzhiyun #ifndef div_s64_rem
div_s64_rem(s64 dividend,s32 divisor,s32 * remainder)64*4882a593Smuzhiyun s64 div_s64_rem(s64 dividend, s32 divisor, s32 *remainder)
65*4882a593Smuzhiyun {
66*4882a593Smuzhiyun u64 quotient;
67*4882a593Smuzhiyun
68*4882a593Smuzhiyun if (dividend < 0) {
69*4882a593Smuzhiyun quotient = div_u64_rem(-dividend, abs(divisor), (u32 *)remainder);
70*4882a593Smuzhiyun *remainder = -*remainder;
71*4882a593Smuzhiyun if (divisor > 0)
72*4882a593Smuzhiyun quotient = -quotient;
73*4882a593Smuzhiyun } else {
74*4882a593Smuzhiyun quotient = div_u64_rem(dividend, abs(divisor), (u32 *)remainder);
75*4882a593Smuzhiyun if (divisor < 0)
76*4882a593Smuzhiyun quotient = -quotient;
77*4882a593Smuzhiyun }
78*4882a593Smuzhiyun return quotient;
79*4882a593Smuzhiyun }
80*4882a593Smuzhiyun EXPORT_SYMBOL(div_s64_rem);
81*4882a593Smuzhiyun #endif
82*4882a593Smuzhiyun
83*4882a593Smuzhiyun /**
84*4882a593Smuzhiyun * div64_u64_rem - unsigned 64bit divide with 64bit divisor and remainder
85*4882a593Smuzhiyun * @dividend: 64bit dividend
86*4882a593Smuzhiyun * @divisor: 64bit divisor
87*4882a593Smuzhiyun * @remainder: 64bit remainder
88*4882a593Smuzhiyun *
89*4882a593Smuzhiyun * This implementation is a comparable to algorithm used by div64_u64.
90*4882a593Smuzhiyun * But this operation, which includes math for calculating the remainder,
91*4882a593Smuzhiyun * is kept distinct to avoid slowing down the div64_u64 operation on 32bit
92*4882a593Smuzhiyun * systems.
93*4882a593Smuzhiyun */
94*4882a593Smuzhiyun #ifndef div64_u64_rem
div64_u64_rem(u64 dividend,u64 divisor,u64 * remainder)95*4882a593Smuzhiyun u64 div64_u64_rem(u64 dividend, u64 divisor, u64 *remainder)
96*4882a593Smuzhiyun {
97*4882a593Smuzhiyun u32 high = divisor >> 32;
98*4882a593Smuzhiyun u64 quot;
99*4882a593Smuzhiyun
100*4882a593Smuzhiyun if (high == 0) {
101*4882a593Smuzhiyun u32 rem32;
102*4882a593Smuzhiyun quot = div_u64_rem(dividend, divisor, &rem32);
103*4882a593Smuzhiyun *remainder = rem32;
104*4882a593Smuzhiyun } else {
105*4882a593Smuzhiyun int n = 1 + fls(high);
106*4882a593Smuzhiyun quot = div_u64(dividend >> n, divisor >> n);
107*4882a593Smuzhiyun
108*4882a593Smuzhiyun if (quot != 0)
109*4882a593Smuzhiyun quot--;
110*4882a593Smuzhiyun
111*4882a593Smuzhiyun *remainder = dividend - quot * divisor;
112*4882a593Smuzhiyun if (*remainder >= divisor) {
113*4882a593Smuzhiyun quot++;
114*4882a593Smuzhiyun *remainder -= divisor;
115*4882a593Smuzhiyun }
116*4882a593Smuzhiyun }
117*4882a593Smuzhiyun
118*4882a593Smuzhiyun return quot;
119*4882a593Smuzhiyun }
120*4882a593Smuzhiyun EXPORT_SYMBOL(div64_u64_rem);
121*4882a593Smuzhiyun #endif
122*4882a593Smuzhiyun
123*4882a593Smuzhiyun /**
124*4882a593Smuzhiyun * div64_u64 - unsigned 64bit divide with 64bit divisor
125*4882a593Smuzhiyun * @dividend: 64bit dividend
126*4882a593Smuzhiyun * @divisor: 64bit divisor
127*4882a593Smuzhiyun *
128*4882a593Smuzhiyun * This implementation is a modified version of the algorithm proposed
129*4882a593Smuzhiyun * by the book 'Hacker's Delight'. The original source and full proof
130*4882a593Smuzhiyun * can be found here and is available for use without restriction.
131*4882a593Smuzhiyun *
132*4882a593Smuzhiyun * 'http://www.hackersdelight.org/hdcodetxt/divDouble.c.txt'
133*4882a593Smuzhiyun */
134*4882a593Smuzhiyun #ifndef div64_u64
div64_u64(u64 dividend,u64 divisor)135*4882a593Smuzhiyun u64 div64_u64(u64 dividend, u64 divisor)
136*4882a593Smuzhiyun {
137*4882a593Smuzhiyun u32 high = divisor >> 32;
138*4882a593Smuzhiyun u64 quot;
139*4882a593Smuzhiyun
140*4882a593Smuzhiyun if (high == 0) {
141*4882a593Smuzhiyun quot = div_u64(dividend, divisor);
142*4882a593Smuzhiyun } else {
143*4882a593Smuzhiyun int n = 1 + fls(high);
144*4882a593Smuzhiyun quot = div_u64(dividend >> n, divisor >> n);
145*4882a593Smuzhiyun
146*4882a593Smuzhiyun if (quot != 0)
147*4882a593Smuzhiyun quot--;
148*4882a593Smuzhiyun if ((dividend - quot * divisor) >= divisor)
149*4882a593Smuzhiyun quot++;
150*4882a593Smuzhiyun }
151*4882a593Smuzhiyun
152*4882a593Smuzhiyun return quot;
153*4882a593Smuzhiyun }
154*4882a593Smuzhiyun EXPORT_SYMBOL(div64_u64);
155*4882a593Smuzhiyun #endif
156*4882a593Smuzhiyun
157*4882a593Smuzhiyun /**
158*4882a593Smuzhiyun * div64_s64 - signed 64bit divide with 64bit divisor
159*4882a593Smuzhiyun * @dividend: 64bit dividend
160*4882a593Smuzhiyun * @divisor: 64bit divisor
161*4882a593Smuzhiyun */
162*4882a593Smuzhiyun #ifndef div64_s64
div64_s64(s64 dividend,s64 divisor)163*4882a593Smuzhiyun s64 div64_s64(s64 dividend, s64 divisor)
164*4882a593Smuzhiyun {
165*4882a593Smuzhiyun s64 quot, t;
166*4882a593Smuzhiyun
167*4882a593Smuzhiyun quot = div64_u64(abs(dividend), abs(divisor));
168*4882a593Smuzhiyun t = (dividend ^ divisor) >> 63;
169*4882a593Smuzhiyun
170*4882a593Smuzhiyun return (quot ^ t) - t;
171*4882a593Smuzhiyun }
172*4882a593Smuzhiyun EXPORT_SYMBOL(div64_s64);
173*4882a593Smuzhiyun #endif
174*4882a593Smuzhiyun
175*4882a593Smuzhiyun #endif /* BITS_PER_LONG == 32 */
176*4882a593Smuzhiyun
177*4882a593Smuzhiyun /*
178*4882a593Smuzhiyun * Iterative div/mod for use when dividend is not expected to be much
179*4882a593Smuzhiyun * bigger than divisor.
180*4882a593Smuzhiyun */
iter_div_u64_rem(u64 dividend,u32 divisor,u64 * remainder)181*4882a593Smuzhiyun u32 iter_div_u64_rem(u64 dividend, u32 divisor, u64 *remainder)
182*4882a593Smuzhiyun {
183*4882a593Smuzhiyun return __iter_div_u64_rem(dividend, divisor, remainder);
184*4882a593Smuzhiyun }
185*4882a593Smuzhiyun EXPORT_SYMBOL(iter_div_u64_rem);
186