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b2441318 | 1 | /* SPDX-License-Identifier: GPL-2.0 */ |
2418f4f2 RZ |
2 | #ifndef _LINUX_MATH64_H |
3 | #define _LINUX_MATH64_H | |
4 | ||
5 | #include <linux/types.h> | |
605a140a | 6 | #include <linux/math.h> |
b874b835 | 7 | #include <vdso/math64.h> |
2418f4f2 RZ |
8 | #include <asm/div64.h> |
9 | ||
10 | #if BITS_PER_LONG == 64 | |
11 | ||
c2853c8d AS |
12 | #define div64_long(x, y) div64_s64((x), (y)) |
13 | #define div64_ul(x, y) div64_u64((x), (y)) | |
f910381a | 14 | |
2418f4f2 RZ |
15 | /** |
16 | * div_u64_rem - unsigned 64bit divide with 32bit divisor with remainder | |
078843f7 RD |
17 | * @dividend: unsigned 64bit dividend |
18 | * @divisor: unsigned 32bit divisor | |
19 | * @remainder: pointer to unsigned 32bit remainder | |
20 | * | |
21 | * Return: sets ``*remainder``, then returns dividend / divisor | |
2418f4f2 RZ |
22 | * |
23 | * This is commonly provided by 32bit archs to provide an optimized 64bit | |
24 | * divide. | |
25 | */ | |
26 | static inline u64 div_u64_rem(u64 dividend, u32 divisor, u32 *remainder) | |
27 | { | |
28 | *remainder = dividend % divisor; | |
29 | return dividend / divisor; | |
30 | } | |
31 | ||
d28a1de5 | 32 | /** |
2418f4f2 | 33 | * div_s64_rem - signed 64bit divide with 32bit divisor with remainder |
078843f7 RD |
34 | * @dividend: signed 64bit dividend |
35 | * @divisor: signed 32bit divisor | |
36 | * @remainder: pointer to signed 32bit remainder | |
37 | * | |
38 | * Return: sets ``*remainder``, then returns dividend / divisor | |
2418f4f2 RZ |
39 | */ |
40 | static inline s64 div_s64_rem(s64 dividend, s32 divisor, s32 *remainder) | |
41 | { | |
42 | *remainder = dividend % divisor; | |
43 | return dividend / divisor; | |
44 | } | |
45 | ||
d28a1de5 | 46 | /** |
eb18cba7 | 47 | * div64_u64_rem - unsigned 64bit divide with 64bit divisor and remainder |
078843f7 RD |
48 | * @dividend: unsigned 64bit dividend |
49 | * @divisor: unsigned 64bit divisor | |
50 | * @remainder: pointer to unsigned 64bit remainder | |
51 | * | |
52 | * Return: sets ``*remainder``, then returns dividend / divisor | |
eb18cba7 MS |
53 | */ |
54 | static inline u64 div64_u64_rem(u64 dividend, u64 divisor, u64 *remainder) | |
55 | { | |
56 | *remainder = dividend % divisor; | |
57 | return dividend / divisor; | |
58 | } | |
59 | ||
d28a1de5 | 60 | /** |
6f6d6a1a | 61 | * div64_u64 - unsigned 64bit divide with 64bit divisor |
078843f7 RD |
62 | * @dividend: unsigned 64bit dividend |
63 | * @divisor: unsigned 64bit divisor | |
64 | * | |
65 | * Return: dividend / divisor | |
6f6d6a1a RZ |
66 | */ |
67 | static inline u64 div64_u64(u64 dividend, u64 divisor) | |
68 | { | |
69 | return dividend / divisor; | |
70 | } | |
71 | ||
d28a1de5 | 72 | /** |
658716d1 | 73 | * div64_s64 - signed 64bit divide with 64bit divisor |
078843f7 RD |
74 | * @dividend: signed 64bit dividend |
75 | * @divisor: signed 64bit divisor | |
76 | * | |
77 | * Return: dividend / divisor | |
658716d1 BB |
78 | */ |
79 | static inline s64 div64_s64(s64 dividend, s64 divisor) | |
80 | { | |
81 | return dividend / divisor; | |
82 | } | |
83 | ||
2418f4f2 RZ |
84 | #elif BITS_PER_LONG == 32 |
85 | ||
c2853c8d AS |
86 | #define div64_long(x, y) div_s64((x), (y)) |
87 | #define div64_ul(x, y) div_u64((x), (y)) | |
f910381a | 88 | |
2418f4f2 RZ |
89 | #ifndef div_u64_rem |
90 | static inline u64 div_u64_rem(u64 dividend, u32 divisor, u32 *remainder) | |
91 | { | |
92 | *remainder = do_div(dividend, divisor); | |
93 | return dividend; | |
94 | } | |
95 | #endif | |
96 | ||
97 | #ifndef div_s64_rem | |
98 | extern s64 div_s64_rem(s64 dividend, s32 divisor, s32 *remainder); | |
99 | #endif | |
100 | ||
eb18cba7 MS |
101 | #ifndef div64_u64_rem |
102 | extern u64 div64_u64_rem(u64 dividend, u64 divisor, u64 *remainder); | |
103 | #endif | |
104 | ||
6f6d6a1a | 105 | #ifndef div64_u64 |
f3002134 | 106 | extern u64 div64_u64(u64 dividend, u64 divisor); |
6f6d6a1a RZ |
107 | #endif |
108 | ||
658716d1 BB |
109 | #ifndef div64_s64 |
110 | extern s64 div64_s64(s64 dividend, s64 divisor); | |
111 | #endif | |
112 | ||
2418f4f2 RZ |
113 | #endif /* BITS_PER_LONG */ |
114 | ||
115 | /** | |
116 | * div_u64 - unsigned 64bit divide with 32bit divisor | |
078843f7 RD |
117 | * @dividend: unsigned 64bit dividend |
118 | * @divisor: unsigned 32bit divisor | |
2418f4f2 RZ |
119 | * |
120 | * This is the most common 64bit divide and should be used if possible, | |
121 | * as many 32bit archs can optimize this variant better than a full 64bit | |
122 | * divide. | |
a898db21 LB |
123 | * |
124 | * Return: dividend / divisor | |
2418f4f2 RZ |
125 | */ |
126 | #ifndef div_u64 | |
127 | static inline u64 div_u64(u64 dividend, u32 divisor) | |
128 | { | |
129 | u32 remainder; | |
130 | return div_u64_rem(dividend, divisor, &remainder); | |
131 | } | |
132 | #endif | |
133 | ||
134 | /** | |
135 | * div_s64 - signed 64bit divide with 32bit divisor | |
078843f7 RD |
136 | * @dividend: signed 64bit dividend |
137 | * @divisor: signed 32bit divisor | |
a898db21 LB |
138 | * |
139 | * Return: dividend / divisor | |
2418f4f2 RZ |
140 | */ |
141 | #ifndef div_s64 | |
142 | static inline s64 div_s64(s64 dividend, s32 divisor) | |
143 | { | |
144 | s32 remainder; | |
145 | return div_s64_rem(dividend, divisor, &remainder); | |
146 | } | |
147 | #endif | |
148 | ||
f595ec96 JF |
149 | u32 iter_div_u64_rem(u64 dividend, u32 divisor, u64 *remainder); |
150 | ||
9e3d6223 PZ |
151 | #ifndef mul_u32_u32 |
152 | /* | |
153 | * Many a GCC version messes this up and generates a 64x64 mult :-( | |
154 | */ | |
155 | static inline u64 mul_u32_u32(u32 a, u32 b) | |
156 | { | |
157 | return (u64)a * b; | |
158 | } | |
159 | #endif | |
160 | ||
be5e610c PZ |
161 | #if defined(CONFIG_ARCH_SUPPORTS_INT128) && defined(__SIZEOF_INT128__) |
162 | ||
163 | #ifndef mul_u64_u32_shr | |
8739c681 | 164 | static __always_inline u64 mul_u64_u32_shr(u64 a, u32 mul, unsigned int shift) |
be5e610c PZ |
165 | { |
166 | return (u64)(((unsigned __int128)a * mul) >> shift); | |
167 | } | |
168 | #endif /* mul_u64_u32_shr */ | |
169 | ||
35181e86 HZ |
170 | #ifndef mul_u64_u64_shr |
171 | static inline u64 mul_u64_u64_shr(u64 a, u64 mul, unsigned int shift) | |
172 | { | |
173 | return (u64)(((unsigned __int128)a * mul) >> shift); | |
174 | } | |
175 | #endif /* mul_u64_u64_shr */ | |
176 | ||
be5e610c PZ |
177 | #else |
178 | ||
179 | #ifndef mul_u64_u32_shr | |
8739c681 | 180 | static __always_inline u64 mul_u64_u32_shr(u64 a, u32 mul, unsigned int shift) |
be5e610c PZ |
181 | { |
182 | u32 ah, al; | |
183 | u64 ret; | |
184 | ||
185 | al = a; | |
186 | ah = a >> 32; | |
187 | ||
9e3d6223 | 188 | ret = mul_u32_u32(al, mul) >> shift; |
be5e610c | 189 | if (ah) |
9e3d6223 | 190 | ret += mul_u32_u32(ah, mul) << (32 - shift); |
be5e610c PZ |
191 | |
192 | return ret; | |
193 | } | |
194 | #endif /* mul_u64_u32_shr */ | |
195 | ||
35181e86 HZ |
196 | #ifndef mul_u64_u64_shr |
197 | static inline u64 mul_u64_u64_shr(u64 a, u64 b, unsigned int shift) | |
198 | { | |
199 | union { | |
200 | u64 ll; | |
201 | struct { | |
202 | #ifdef __BIG_ENDIAN | |
203 | u32 high, low; | |
204 | #else | |
205 | u32 low, high; | |
206 | #endif | |
207 | } l; | |
208 | } rl, rm, rn, rh, a0, b0; | |
209 | u64 c; | |
210 | ||
211 | a0.ll = a; | |
212 | b0.ll = b; | |
213 | ||
9e3d6223 PZ |
214 | rl.ll = mul_u32_u32(a0.l.low, b0.l.low); |
215 | rm.ll = mul_u32_u32(a0.l.low, b0.l.high); | |
216 | rn.ll = mul_u32_u32(a0.l.high, b0.l.low); | |
217 | rh.ll = mul_u32_u32(a0.l.high, b0.l.high); | |
35181e86 HZ |
218 | |
219 | /* | |
220 | * Each of these lines computes a 64-bit intermediate result into "c", | |
221 | * starting at bits 32-95. The low 32-bits go into the result of the | |
222 | * multiplication, the high 32-bits are carried into the next step. | |
223 | */ | |
224 | rl.l.high = c = (u64)rl.l.high + rm.l.low + rn.l.low; | |
225 | rh.l.low = c = (c >> 32) + rm.l.high + rn.l.high + rh.l.low; | |
226 | rh.l.high = (c >> 32) + rh.l.high; | |
227 | ||
228 | /* | |
229 | * The 128-bit result of the multiplication is in rl.ll and rh.ll, | |
230 | * shift it right and throw away the high part of the result. | |
231 | */ | |
232 | if (shift == 0) | |
233 | return rl.ll; | |
234 | if (shift < 64) | |
235 | return (rl.ll >> shift) | (rh.ll << (64 - shift)); | |
236 | return rh.ll >> (shift & 63); | |
237 | } | |
238 | #endif /* mul_u64_u64_shr */ | |
239 | ||
be5e610c PZ |
240 | #endif |
241 | ||
605a140a IS |
242 | #ifndef mul_s64_u64_shr |
243 | static inline u64 mul_s64_u64_shr(s64 a, u64 b, unsigned int shift) | |
244 | { | |
245 | u64 ret; | |
246 | ||
247 | /* | |
248 | * Extract the sign before the multiplication and put it back | |
249 | * afterwards if needed. | |
250 | */ | |
251 | ret = mul_u64_u64_shr(abs(a), b, shift); | |
252 | ||
253 | if (a < 0) | |
254 | ret = -((s64) ret); | |
255 | ||
256 | return ret; | |
257 | } | |
258 | #endif /* mul_s64_u64_shr */ | |
259 | ||
381d585c HZ |
260 | #ifndef mul_u64_u32_div |
261 | static inline u64 mul_u64_u32_div(u64 a, u32 mul, u32 divisor) | |
262 | { | |
263 | union { | |
264 | u64 ll; | |
265 | struct { | |
266 | #ifdef __BIG_ENDIAN | |
267 | u32 high, low; | |
268 | #else | |
269 | u32 low, high; | |
270 | #endif | |
271 | } l; | |
272 | } u, rl, rh; | |
273 | ||
274 | u.ll = a; | |
9e3d6223 PZ |
275 | rl.ll = mul_u32_u32(u.l.low, mul); |
276 | rh.ll = mul_u32_u32(u.l.high, mul) + rl.l.high; | |
381d585c HZ |
277 | |
278 | /* Bits 32-63 of the result will be in rh.l.low. */ | |
279 | rl.l.high = do_div(rh.ll, divisor); | |
280 | ||
281 | /* Bits 0-31 of the result will be in rl.l.low. */ | |
282 | do_div(rl.ll, divisor); | |
283 | ||
284 | rl.l.high = rh.l.low; | |
285 | return rl.ll; | |
286 | } | |
287 | #endif /* mul_u64_u32_div */ | |
288 | ||
3dc167ba ON |
289 | u64 mul_u64_u64_div_u64(u64 a, u64 mul, u64 div); |
290 | ||
090f13ca LB |
291 | /** |
292 | * DIV64_U64_ROUND_UP - unsigned 64bit divide with 64bit divisor rounded up | |
293 | * @ll: unsigned 64bit dividend | |
294 | * @d: unsigned 64bit divisor | |
295 | * | |
296 | * Divide unsigned 64bit dividend by unsigned 64bit divisor | |
297 | * and round up. | |
298 | * | |
299 | * Return: dividend / divisor rounded up | |
300 | */ | |
68600f62 RG |
301 | #define DIV64_U64_ROUND_UP(ll, d) \ |
302 | ({ u64 _tmp = (d); div64_u64((ll) + _tmp - 1, _tmp); }) | |
303 | ||
cb8be119 SH |
304 | /** |
305 | * DIV64_U64_ROUND_CLOSEST - unsigned 64bit divide with 64bit divisor rounded to nearest integer | |
306 | * @dividend: unsigned 64bit dividend | |
307 | * @divisor: unsigned 64bit divisor | |
308 | * | |
309 | * Divide unsigned 64bit dividend by unsigned 64bit divisor | |
310 | * and round to closest integer. | |
311 | * | |
312 | * Return: dividend / divisor rounded to nearest integer | |
313 | */ | |
314 | #define DIV64_U64_ROUND_CLOSEST(dividend, divisor) \ | |
315 | ({ u64 _tmp = (divisor); div64_u64((dividend) + _tmp / 2, _tmp); }) | |
316 | ||
d28a1de5 | 317 | /** |
2c861b73 PR |
318 | * DIV_U64_ROUND_CLOSEST - unsigned 64bit divide with 32bit divisor rounded to nearest integer |
319 | * @dividend: unsigned 64bit dividend | |
320 | * @divisor: unsigned 32bit divisor | |
321 | * | |
322 | * Divide unsigned 64bit dividend by unsigned 32bit divisor | |
323 | * and round to closest integer. | |
324 | * | |
325 | * Return: dividend / divisor rounded to nearest integer | |
326 | */ | |
327 | #define DIV_U64_ROUND_CLOSEST(dividend, divisor) \ | |
328 | ({ u32 _tmp = (divisor); div_u64((u64)(dividend) + _tmp / 2, _tmp); }) | |
329 | ||
d28a1de5 | 330 | /** |
af60459a CZ |
331 | * DIV_S64_ROUND_CLOSEST - signed 64bit divide with 32bit divisor rounded to nearest integer |
332 | * @dividend: signed 64bit dividend | |
333 | * @divisor: signed 32bit divisor | |
334 | * | |
335 | * Divide signed 64bit dividend by signed 32bit divisor | |
336 | * and round to closest integer. | |
337 | * | |
338 | * Return: dividend / divisor rounded to nearest integer | |
339 | */ | |
340 | #define DIV_S64_ROUND_CLOSEST(dividend, divisor)( \ | |
341 | { \ | |
342 | s64 __x = (dividend); \ | |
343 | s32 __d = (divisor); \ | |
344 | ((__x > 0) == (__d > 0)) ? \ | |
345 | div_s64((__x + (__d / 2)), __d) : \ | |
346 | div_s64((__x - (__d / 2)), __d); \ | |
347 | } \ | |
348 | ) | |
2418f4f2 | 349 | #endif /* _LINUX_MATH64_H */ |