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Diffstat (limited to 'lib/math/div64.c')
-rw-r--r-- | lib/math/div64.c | 192 |
1 files changed, 192 insertions, 0 deletions
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1 | // SPDX-License-Identifier: GPL-2.0 | ||
2 | /* | ||
3 | * Copyright (C) 2003 Bernardo Innocenti <bernie@develer.com> | ||
4 | * | ||
5 | * Based on former do_div() implementation from asm-parisc/div64.h: | ||
6 | * Copyright (C) 1999 Hewlett-Packard Co | ||
7 | * Copyright (C) 1999 David Mosberger-Tang <davidm@hpl.hp.com> | ||
8 | * | ||
9 | * | ||
10 | * Generic C version of 64bit/32bit division and modulo, with | ||
11 | * 64bit result and 32bit remainder. | ||
12 | * | ||
13 | * The fast case for (n>>32 == 0) is handled inline by do_div(). | ||
14 | * | ||
15 | * Code generated for this function might be very inefficient | ||
16 | * for some CPUs. __div64_32() can be overridden by linking arch-specific | ||
17 | * assembly versions such as arch/ppc/lib/div64.S and arch/sh/lib/div64.S | ||
18 | * or by defining a preprocessor macro in arch/include/asm/div64.h. | ||
19 | */ | ||
20 | |||
21 | #include <linux/export.h> | ||
22 | #include <linux/kernel.h> | ||
23 | #include <linux/math64.h> | ||
24 | |||
25 | /* Not needed on 64bit architectures */ | ||
26 | #if BITS_PER_LONG == 32 | ||
27 | |||
28 | #ifndef __div64_32 | ||
29 | uint32_t __attribute__((weak)) __div64_32(uint64_t *n, uint32_t base) | ||
30 | { | ||
31 | uint64_t rem = *n; | ||
32 | uint64_t b = base; | ||
33 | uint64_t res, d = 1; | ||
34 | uint32_t high = rem >> 32; | ||
35 | |||
36 | /* Reduce the thing a bit first */ | ||
37 | res = 0; | ||
38 | if (high >= base) { | ||
39 | high /= base; | ||
40 | res = (uint64_t) high << 32; | ||
41 | rem -= (uint64_t) (high*base) << 32; | ||
42 | } | ||
43 | |||
44 | while ((int64_t)b > 0 && b < rem) { | ||
45 | b = b+b; | ||
46 | d = d+d; | ||
47 | } | ||
48 | |||
49 | do { | ||
50 | if (rem >= b) { | ||
51 | rem -= b; | ||
52 | res += d; | ||
53 | } | ||
54 | b >>= 1; | ||
55 | d >>= 1; | ||
56 | } while (d); | ||
57 | |||
58 | *n = res; | ||
59 | return rem; | ||
60 | } | ||
61 | EXPORT_SYMBOL(__div64_32); | ||
62 | #endif | ||
63 | |||
64 | /** | ||
65 | * div_s64_rem - signed 64bit divide with 64bit divisor and remainder | ||
66 | * @dividend: 64bit dividend | ||
67 | * @divisor: 64bit divisor | ||
68 | * @remainder: 64bit remainder | ||
69 | */ | ||
70 | #ifndef div_s64_rem | ||
71 | s64 div_s64_rem(s64 dividend, s32 divisor, s32 *remainder) | ||
72 | { | ||
73 | u64 quotient; | ||
74 | |||
75 | if (dividend < 0) { | ||
76 | quotient = div_u64_rem(-dividend, abs(divisor), (u32 *)remainder); | ||
77 | *remainder = -*remainder; | ||
78 | if (divisor > 0) | ||
79 | quotient = -quotient; | ||
80 | } else { | ||
81 | quotient = div_u64_rem(dividend, abs(divisor), (u32 *)remainder); | ||
82 | if (divisor < 0) | ||
83 | quotient = -quotient; | ||
84 | } | ||
85 | return quotient; | ||
86 | } | ||
87 | EXPORT_SYMBOL(div_s64_rem); | ||
88 | #endif | ||
89 | |||
90 | /** | ||
91 | * div64_u64_rem - unsigned 64bit divide with 64bit divisor and remainder | ||
92 | * @dividend: 64bit dividend | ||
93 | * @divisor: 64bit divisor | ||
94 | * @remainder: 64bit remainder | ||
95 | * | ||
96 | * This implementation is a comparable to algorithm used by div64_u64. | ||
97 | * But this operation, which includes math for calculating the remainder, | ||
98 | * is kept distinct to avoid slowing down the div64_u64 operation on 32bit | ||
99 | * systems. | ||
100 | */ | ||
101 | #ifndef div64_u64_rem | ||
102 | u64 div64_u64_rem(u64 dividend, u64 divisor, u64 *remainder) | ||
103 | { | ||
104 | u32 high = divisor >> 32; | ||
105 | u64 quot; | ||
106 | |||
107 | if (high == 0) { | ||
108 | u32 rem32; | ||
109 | quot = div_u64_rem(dividend, divisor, &rem32); | ||
110 | *remainder = rem32; | ||
111 | } else { | ||
112 | int n = fls(high); | ||
113 | quot = div_u64(dividend >> n, divisor >> n); | ||
114 | |||
115 | if (quot != 0) | ||
116 | quot--; | ||
117 | |||
118 | *remainder = dividend - quot * divisor; | ||
119 | if (*remainder >= divisor) { | ||
120 | quot++; | ||
121 | *remainder -= divisor; | ||
122 | } | ||
123 | } | ||
124 | |||
125 | return quot; | ||
126 | } | ||
127 | EXPORT_SYMBOL(div64_u64_rem); | ||
128 | #endif | ||
129 | |||
130 | /** | ||
131 | * div64_u64 - unsigned 64bit divide with 64bit divisor | ||
132 | * @dividend: 64bit dividend | ||
133 | * @divisor: 64bit divisor | ||
134 | * | ||
135 | * This implementation is a modified version of the algorithm proposed | ||
136 | * by the book 'Hacker's Delight'. The original source and full proof | ||
137 | * can be found here and is available for use without restriction. | ||
138 | * | ||
139 | * 'http://www.hackersdelight.org/hdcodetxt/divDouble.c.txt' | ||
140 | */ | ||
141 | #ifndef div64_u64 | ||
142 | u64 div64_u64(u64 dividend, u64 divisor) | ||
143 | { | ||
144 | u32 high = divisor >> 32; | ||
145 | u64 quot; | ||
146 | |||
147 | if (high == 0) { | ||
148 | quot = div_u64(dividend, divisor); | ||
149 | } else { | ||
150 | int n = fls(high); | ||
151 | quot = div_u64(dividend >> n, divisor >> n); | ||
152 | |||
153 | if (quot != 0) | ||
154 | quot--; | ||
155 | if ((dividend - quot * divisor) >= divisor) | ||
156 | quot++; | ||
157 | } | ||
158 | |||
159 | return quot; | ||
160 | } | ||
161 | EXPORT_SYMBOL(div64_u64); | ||
162 | #endif | ||
163 | |||
164 | /** | ||
165 | * div64_s64 - signed 64bit divide with 64bit divisor | ||
166 | * @dividend: 64bit dividend | ||
167 | * @divisor: 64bit divisor | ||
168 | */ | ||
169 | #ifndef div64_s64 | ||
170 | s64 div64_s64(s64 dividend, s64 divisor) | ||
171 | { | ||
172 | s64 quot, t; | ||
173 | |||
174 | quot = div64_u64(abs(dividend), abs(divisor)); | ||
175 | t = (dividend ^ divisor) >> 63; | ||
176 | |||
177 | return (quot ^ t) - t; | ||
178 | } | ||
179 | EXPORT_SYMBOL(div64_s64); | ||
180 | #endif | ||
181 | |||
182 | #endif /* BITS_PER_LONG == 32 */ | ||
183 | |||
184 | /* | ||
185 | * Iterative div/mod for use when dividend is not expected to be much | ||
186 | * bigger than divisor. | ||
187 | */ | ||
188 | u32 iter_div_u64_rem(u64 dividend, u32 divisor, u64 *remainder) | ||
189 | { | ||
190 | return __iter_div_u64_rem(dividend, divisor, remainder); | ||
191 | } | ||
192 | EXPORT_SYMBOL(iter_div_u64_rem); | ||