xref: /OK3568_Linux_fs/kernel/include/linux/math64.h (revision 4882a59341e53eb6f0b4789bf948001014eff981)
1*4882a593Smuzhiyun /* SPDX-License-Identifier: GPL-2.0 */
2*4882a593Smuzhiyun #ifndef _LINUX_MATH64_H
3*4882a593Smuzhiyun #define _LINUX_MATH64_H
4*4882a593Smuzhiyun 
5*4882a593Smuzhiyun #include <linux/types.h>
6*4882a593Smuzhiyun #include <vdso/math64.h>
7*4882a593Smuzhiyun #include <asm/div64.h>
8*4882a593Smuzhiyun 
9*4882a593Smuzhiyun #if BITS_PER_LONG == 64
10*4882a593Smuzhiyun 
11*4882a593Smuzhiyun #define div64_long(x, y) div64_s64((x), (y))
12*4882a593Smuzhiyun #define div64_ul(x, y)   div64_u64((x), (y))
13*4882a593Smuzhiyun 
14*4882a593Smuzhiyun /**
15*4882a593Smuzhiyun  * div_u64_rem - unsigned 64bit divide with 32bit divisor with remainder
16*4882a593Smuzhiyun  * @dividend: unsigned 64bit dividend
17*4882a593Smuzhiyun  * @divisor: unsigned 32bit divisor
18*4882a593Smuzhiyun  * @remainder: pointer to unsigned 32bit remainder
19*4882a593Smuzhiyun  *
20*4882a593Smuzhiyun  * Return: sets ``*remainder``, then returns dividend / divisor
21*4882a593Smuzhiyun  *
22*4882a593Smuzhiyun  * This is commonly provided by 32bit archs to provide an optimized 64bit
23*4882a593Smuzhiyun  * divide.
24*4882a593Smuzhiyun  */
div_u64_rem(u64 dividend,u32 divisor,u32 * remainder)25*4882a593Smuzhiyun static inline u64 div_u64_rem(u64 dividend, u32 divisor, u32 *remainder)
26*4882a593Smuzhiyun {
27*4882a593Smuzhiyun 	*remainder = dividend % divisor;
28*4882a593Smuzhiyun 	return dividend / divisor;
29*4882a593Smuzhiyun }
30*4882a593Smuzhiyun 
31*4882a593Smuzhiyun /*
32*4882a593Smuzhiyun  * div_s64_rem - signed 64bit divide with 32bit divisor with remainder
33*4882a593Smuzhiyun  * @dividend: signed 64bit dividend
34*4882a593Smuzhiyun  * @divisor: signed 32bit divisor
35*4882a593Smuzhiyun  * @remainder: pointer to signed 32bit remainder
36*4882a593Smuzhiyun  *
37*4882a593Smuzhiyun  * Return: sets ``*remainder``, then returns dividend / divisor
38*4882a593Smuzhiyun  */
div_s64_rem(s64 dividend,s32 divisor,s32 * remainder)39*4882a593Smuzhiyun static inline s64 div_s64_rem(s64 dividend, s32 divisor, s32 *remainder)
40*4882a593Smuzhiyun {
41*4882a593Smuzhiyun 	*remainder = dividend % divisor;
42*4882a593Smuzhiyun 	return dividend / divisor;
43*4882a593Smuzhiyun }
44*4882a593Smuzhiyun 
45*4882a593Smuzhiyun /*
46*4882a593Smuzhiyun  * div64_u64_rem - unsigned 64bit divide with 64bit divisor and remainder
47*4882a593Smuzhiyun  * @dividend: unsigned 64bit dividend
48*4882a593Smuzhiyun  * @divisor: unsigned 64bit divisor
49*4882a593Smuzhiyun  * @remainder: pointer to unsigned 64bit remainder
50*4882a593Smuzhiyun  *
51*4882a593Smuzhiyun  * Return: sets ``*remainder``, then returns dividend / divisor
52*4882a593Smuzhiyun  */
div64_u64_rem(u64 dividend,u64 divisor,u64 * remainder)53*4882a593Smuzhiyun static inline u64 div64_u64_rem(u64 dividend, u64 divisor, u64 *remainder)
54*4882a593Smuzhiyun {
55*4882a593Smuzhiyun 	*remainder = dividend % divisor;
56*4882a593Smuzhiyun 	return dividend / divisor;
57*4882a593Smuzhiyun }
58*4882a593Smuzhiyun 
59*4882a593Smuzhiyun /*
60*4882a593Smuzhiyun  * div64_u64 - unsigned 64bit divide with 64bit divisor
61*4882a593Smuzhiyun  * @dividend: unsigned 64bit dividend
62*4882a593Smuzhiyun  * @divisor: unsigned 64bit divisor
63*4882a593Smuzhiyun  *
64*4882a593Smuzhiyun  * Return: dividend / divisor
65*4882a593Smuzhiyun  */
div64_u64(u64 dividend,u64 divisor)66*4882a593Smuzhiyun static inline u64 div64_u64(u64 dividend, u64 divisor)
67*4882a593Smuzhiyun {
68*4882a593Smuzhiyun 	return dividend / divisor;
69*4882a593Smuzhiyun }
70*4882a593Smuzhiyun 
71*4882a593Smuzhiyun /*
72*4882a593Smuzhiyun  * div64_s64 - signed 64bit divide with 64bit divisor
73*4882a593Smuzhiyun  * @dividend: signed 64bit dividend
74*4882a593Smuzhiyun  * @divisor: signed 64bit divisor
75*4882a593Smuzhiyun  *
76*4882a593Smuzhiyun  * Return: dividend / divisor
77*4882a593Smuzhiyun  */
div64_s64(s64 dividend,s64 divisor)78*4882a593Smuzhiyun static inline s64 div64_s64(s64 dividend, s64 divisor)
79*4882a593Smuzhiyun {
80*4882a593Smuzhiyun 	return dividend / divisor;
81*4882a593Smuzhiyun }
82*4882a593Smuzhiyun 
83*4882a593Smuzhiyun #elif BITS_PER_LONG == 32
84*4882a593Smuzhiyun 
85*4882a593Smuzhiyun #define div64_long(x, y) div_s64((x), (y))
86*4882a593Smuzhiyun #define div64_ul(x, y)   div_u64((x), (y))
87*4882a593Smuzhiyun 
88*4882a593Smuzhiyun #ifndef div_u64_rem
div_u64_rem(u64 dividend,u32 divisor,u32 * remainder)89*4882a593Smuzhiyun static inline u64 div_u64_rem(u64 dividend, u32 divisor, u32 *remainder)
90*4882a593Smuzhiyun {
91*4882a593Smuzhiyun 	*remainder = do_div(dividend, divisor);
92*4882a593Smuzhiyun 	return dividend;
93*4882a593Smuzhiyun }
94*4882a593Smuzhiyun #endif
95*4882a593Smuzhiyun 
96*4882a593Smuzhiyun #ifndef div_s64_rem
97*4882a593Smuzhiyun extern s64 div_s64_rem(s64 dividend, s32 divisor, s32 *remainder);
98*4882a593Smuzhiyun #endif
99*4882a593Smuzhiyun 
100*4882a593Smuzhiyun #ifndef div64_u64_rem
101*4882a593Smuzhiyun extern u64 div64_u64_rem(u64 dividend, u64 divisor, u64 *remainder);
102*4882a593Smuzhiyun #endif
103*4882a593Smuzhiyun 
104*4882a593Smuzhiyun #ifndef div64_u64
105*4882a593Smuzhiyun extern u64 div64_u64(u64 dividend, u64 divisor);
106*4882a593Smuzhiyun #endif
107*4882a593Smuzhiyun 
108*4882a593Smuzhiyun #ifndef div64_s64
109*4882a593Smuzhiyun extern s64 div64_s64(s64 dividend, s64 divisor);
110*4882a593Smuzhiyun #endif
111*4882a593Smuzhiyun 
112*4882a593Smuzhiyun #endif /* BITS_PER_LONG */
113*4882a593Smuzhiyun 
114*4882a593Smuzhiyun /**
115*4882a593Smuzhiyun  * div_u64 - unsigned 64bit divide with 32bit divisor
116*4882a593Smuzhiyun  * @dividend: unsigned 64bit dividend
117*4882a593Smuzhiyun  * @divisor: unsigned 32bit divisor
118*4882a593Smuzhiyun  *
119*4882a593Smuzhiyun  * This is the most common 64bit divide and should be used if possible,
120*4882a593Smuzhiyun  * as many 32bit archs can optimize this variant better than a full 64bit
121*4882a593Smuzhiyun  * divide.
122*4882a593Smuzhiyun  */
123*4882a593Smuzhiyun #ifndef div_u64
div_u64(u64 dividend,u32 divisor)124*4882a593Smuzhiyun static inline u64 div_u64(u64 dividend, u32 divisor)
125*4882a593Smuzhiyun {
126*4882a593Smuzhiyun 	u32 remainder;
127*4882a593Smuzhiyun 	return div_u64_rem(dividend, divisor, &remainder);
128*4882a593Smuzhiyun }
129*4882a593Smuzhiyun #endif
130*4882a593Smuzhiyun 
131*4882a593Smuzhiyun /**
132*4882a593Smuzhiyun  * div_s64 - signed 64bit divide with 32bit divisor
133*4882a593Smuzhiyun  * @dividend: signed 64bit dividend
134*4882a593Smuzhiyun  * @divisor: signed 32bit divisor
135*4882a593Smuzhiyun  */
136*4882a593Smuzhiyun #ifndef div_s64
div_s64(s64 dividend,s32 divisor)137*4882a593Smuzhiyun static inline s64 div_s64(s64 dividend, s32 divisor)
138*4882a593Smuzhiyun {
139*4882a593Smuzhiyun 	s32 remainder;
140*4882a593Smuzhiyun 	return div_s64_rem(dividend, divisor, &remainder);
141*4882a593Smuzhiyun }
142*4882a593Smuzhiyun #endif
143*4882a593Smuzhiyun 
144*4882a593Smuzhiyun u32 iter_div_u64_rem(u64 dividend, u32 divisor, u64 *remainder);
145*4882a593Smuzhiyun 
146*4882a593Smuzhiyun #ifndef mul_u32_u32
147*4882a593Smuzhiyun /*
148*4882a593Smuzhiyun  * Many a GCC version messes this up and generates a 64x64 mult :-(
149*4882a593Smuzhiyun  */
mul_u32_u32(u32 a,u32 b)150*4882a593Smuzhiyun static inline u64 mul_u32_u32(u32 a, u32 b)
151*4882a593Smuzhiyun {
152*4882a593Smuzhiyun 	return (u64)a * b;
153*4882a593Smuzhiyun }
154*4882a593Smuzhiyun #endif
155*4882a593Smuzhiyun 
156*4882a593Smuzhiyun #if defined(CONFIG_ARCH_SUPPORTS_INT128) && defined(__SIZEOF_INT128__)
157*4882a593Smuzhiyun 
158*4882a593Smuzhiyun #ifndef mul_u64_u32_shr
mul_u64_u32_shr(u64 a,u32 mul,unsigned int shift)159*4882a593Smuzhiyun static inline u64 mul_u64_u32_shr(u64 a, u32 mul, unsigned int shift)
160*4882a593Smuzhiyun {
161*4882a593Smuzhiyun 	return (u64)(((unsigned __int128)a * mul) >> shift);
162*4882a593Smuzhiyun }
163*4882a593Smuzhiyun #endif /* mul_u64_u32_shr */
164*4882a593Smuzhiyun 
165*4882a593Smuzhiyun #ifndef mul_u64_u64_shr
mul_u64_u64_shr(u64 a,u64 mul,unsigned int shift)166*4882a593Smuzhiyun static inline u64 mul_u64_u64_shr(u64 a, u64 mul, unsigned int shift)
167*4882a593Smuzhiyun {
168*4882a593Smuzhiyun 	return (u64)(((unsigned __int128)a * mul) >> shift);
169*4882a593Smuzhiyun }
170*4882a593Smuzhiyun #endif /* mul_u64_u64_shr */
171*4882a593Smuzhiyun 
172*4882a593Smuzhiyun #else
173*4882a593Smuzhiyun 
174*4882a593Smuzhiyun #ifndef mul_u64_u32_shr
mul_u64_u32_shr(u64 a,u32 mul,unsigned int shift)175*4882a593Smuzhiyun static inline u64 mul_u64_u32_shr(u64 a, u32 mul, unsigned int shift)
176*4882a593Smuzhiyun {
177*4882a593Smuzhiyun 	u32 ah, al;
178*4882a593Smuzhiyun 	u64 ret;
179*4882a593Smuzhiyun 
180*4882a593Smuzhiyun 	al = a;
181*4882a593Smuzhiyun 	ah = a >> 32;
182*4882a593Smuzhiyun 
183*4882a593Smuzhiyun 	ret = mul_u32_u32(al, mul) >> shift;
184*4882a593Smuzhiyun 	if (ah)
185*4882a593Smuzhiyun 		ret += mul_u32_u32(ah, mul) << (32 - shift);
186*4882a593Smuzhiyun 
187*4882a593Smuzhiyun 	return ret;
188*4882a593Smuzhiyun }
189*4882a593Smuzhiyun #endif /* mul_u64_u32_shr */
190*4882a593Smuzhiyun 
191*4882a593Smuzhiyun #ifndef mul_u64_u64_shr
mul_u64_u64_shr(u64 a,u64 b,unsigned int shift)192*4882a593Smuzhiyun static inline u64 mul_u64_u64_shr(u64 a, u64 b, unsigned int shift)
193*4882a593Smuzhiyun {
194*4882a593Smuzhiyun 	union {
195*4882a593Smuzhiyun 		u64 ll;
196*4882a593Smuzhiyun 		struct {
197*4882a593Smuzhiyun #ifdef __BIG_ENDIAN
198*4882a593Smuzhiyun 			u32 high, low;
199*4882a593Smuzhiyun #else
200*4882a593Smuzhiyun 			u32 low, high;
201*4882a593Smuzhiyun #endif
202*4882a593Smuzhiyun 		} l;
203*4882a593Smuzhiyun 	} rl, rm, rn, rh, a0, b0;
204*4882a593Smuzhiyun 	u64 c;
205*4882a593Smuzhiyun 
206*4882a593Smuzhiyun 	a0.ll = a;
207*4882a593Smuzhiyun 	b0.ll = b;
208*4882a593Smuzhiyun 
209*4882a593Smuzhiyun 	rl.ll = mul_u32_u32(a0.l.low, b0.l.low);
210*4882a593Smuzhiyun 	rm.ll = mul_u32_u32(a0.l.low, b0.l.high);
211*4882a593Smuzhiyun 	rn.ll = mul_u32_u32(a0.l.high, b0.l.low);
212*4882a593Smuzhiyun 	rh.ll = mul_u32_u32(a0.l.high, b0.l.high);
213*4882a593Smuzhiyun 
214*4882a593Smuzhiyun 	/*
215*4882a593Smuzhiyun 	 * Each of these lines computes a 64-bit intermediate result into "c",
216*4882a593Smuzhiyun 	 * starting at bits 32-95.  The low 32-bits go into the result of the
217*4882a593Smuzhiyun 	 * multiplication, the high 32-bits are carried into the next step.
218*4882a593Smuzhiyun 	 */
219*4882a593Smuzhiyun 	rl.l.high = c = (u64)rl.l.high + rm.l.low + rn.l.low;
220*4882a593Smuzhiyun 	rh.l.low = c = (c >> 32) + rm.l.high + rn.l.high + rh.l.low;
221*4882a593Smuzhiyun 	rh.l.high = (c >> 32) + rh.l.high;
222*4882a593Smuzhiyun 
223*4882a593Smuzhiyun 	/*
224*4882a593Smuzhiyun 	 * The 128-bit result of the multiplication is in rl.ll and rh.ll,
225*4882a593Smuzhiyun 	 * shift it right and throw away the high part of the result.
226*4882a593Smuzhiyun 	 */
227*4882a593Smuzhiyun 	if (shift == 0)
228*4882a593Smuzhiyun 		return rl.ll;
229*4882a593Smuzhiyun 	if (shift < 64)
230*4882a593Smuzhiyun 		return (rl.ll >> shift) | (rh.ll << (64 - shift));
231*4882a593Smuzhiyun 	return rh.ll >> (shift & 63);
232*4882a593Smuzhiyun }
233*4882a593Smuzhiyun #endif /* mul_u64_u64_shr */
234*4882a593Smuzhiyun 
235*4882a593Smuzhiyun #endif
236*4882a593Smuzhiyun 
237*4882a593Smuzhiyun #ifndef mul_u64_u32_div
mul_u64_u32_div(u64 a,u32 mul,u32 divisor)238*4882a593Smuzhiyun static inline u64 mul_u64_u32_div(u64 a, u32 mul, u32 divisor)
239*4882a593Smuzhiyun {
240*4882a593Smuzhiyun 	union {
241*4882a593Smuzhiyun 		u64 ll;
242*4882a593Smuzhiyun 		struct {
243*4882a593Smuzhiyun #ifdef __BIG_ENDIAN
244*4882a593Smuzhiyun 			u32 high, low;
245*4882a593Smuzhiyun #else
246*4882a593Smuzhiyun 			u32 low, high;
247*4882a593Smuzhiyun #endif
248*4882a593Smuzhiyun 		} l;
249*4882a593Smuzhiyun 	} u, rl, rh;
250*4882a593Smuzhiyun 
251*4882a593Smuzhiyun 	u.ll = a;
252*4882a593Smuzhiyun 	rl.ll = mul_u32_u32(u.l.low, mul);
253*4882a593Smuzhiyun 	rh.ll = mul_u32_u32(u.l.high, mul) + rl.l.high;
254*4882a593Smuzhiyun 
255*4882a593Smuzhiyun 	/* Bits 32-63 of the result will be in rh.l.low. */
256*4882a593Smuzhiyun 	rl.l.high = do_div(rh.ll, divisor);
257*4882a593Smuzhiyun 
258*4882a593Smuzhiyun 	/* Bits 0-31 of the result will be in rl.l.low.	*/
259*4882a593Smuzhiyun 	do_div(rl.ll, divisor);
260*4882a593Smuzhiyun 
261*4882a593Smuzhiyun 	rl.l.high = rh.l.low;
262*4882a593Smuzhiyun 	return rl.ll;
263*4882a593Smuzhiyun }
264*4882a593Smuzhiyun #endif /* mul_u64_u32_div */
265*4882a593Smuzhiyun 
266*4882a593Smuzhiyun u64 mul_u64_u64_div_u64(u64 a, u64 mul, u64 div);
267*4882a593Smuzhiyun 
268*4882a593Smuzhiyun #define DIV64_U64_ROUND_UP(ll, d)	\
269*4882a593Smuzhiyun 	({ u64 _tmp = (d); div64_u64((ll) + _tmp - 1, _tmp); })
270*4882a593Smuzhiyun 
271*4882a593Smuzhiyun /**
272*4882a593Smuzhiyun  * DIV64_U64_ROUND_CLOSEST - unsigned 64bit divide with 64bit divisor rounded to nearest integer
273*4882a593Smuzhiyun  * @dividend: unsigned 64bit dividend
274*4882a593Smuzhiyun  * @divisor: unsigned 64bit divisor
275*4882a593Smuzhiyun  *
276*4882a593Smuzhiyun  * Divide unsigned 64bit dividend by unsigned 64bit divisor
277*4882a593Smuzhiyun  * and round to closest integer.
278*4882a593Smuzhiyun  *
279*4882a593Smuzhiyun  * Return: dividend / divisor rounded to nearest integer
280*4882a593Smuzhiyun  */
281*4882a593Smuzhiyun #define DIV64_U64_ROUND_CLOSEST(dividend, divisor)	\
282*4882a593Smuzhiyun 	({ u64 _tmp = (divisor); div64_u64((dividend) + _tmp / 2, _tmp); })
283*4882a593Smuzhiyun 
284*4882a593Smuzhiyun /*
285*4882a593Smuzhiyun  * DIV_S64_ROUND_CLOSEST - signed 64bit divide with 32bit divisor rounded to nearest integer
286*4882a593Smuzhiyun  * @dividend: signed 64bit dividend
287*4882a593Smuzhiyun  * @divisor: signed 32bit divisor
288*4882a593Smuzhiyun  *
289*4882a593Smuzhiyun  * Divide signed 64bit dividend by signed 32bit divisor
290*4882a593Smuzhiyun  * and round to closest integer.
291*4882a593Smuzhiyun  *
292*4882a593Smuzhiyun  * Return: dividend / divisor rounded to nearest integer
293*4882a593Smuzhiyun  */
294*4882a593Smuzhiyun #define DIV_S64_ROUND_CLOSEST(dividend, divisor)(	\
295*4882a593Smuzhiyun {							\
296*4882a593Smuzhiyun 	s64 __x = (dividend);				\
297*4882a593Smuzhiyun 	s32 __d = (divisor);				\
298*4882a593Smuzhiyun 	((__x > 0) == (__d > 0)) ?			\
299*4882a593Smuzhiyun 		div_s64((__x + (__d / 2)), __d) :	\
300*4882a593Smuzhiyun 		div_s64((__x - (__d / 2)), __d);	\
301*4882a593Smuzhiyun }							\
302*4882a593Smuzhiyun )
303*4882a593Smuzhiyun #endif /* _LINUX_MATH64_H */
304