xref: /openbmc/u-boot/include/linux/math64.h (revision 3fea9536)
19eefe2a2SStefan Roese #ifndef _LINUX_MATH64_H
29eefe2a2SStefan Roese #define _LINUX_MATH64_H
39eefe2a2SStefan Roese 
4*0342e335SPeng Fan #include <div64.h>
5*0342e335SPeng Fan #include <linux/bitops.h>
69eefe2a2SStefan Roese #include <linux/types.h>
79eefe2a2SStefan Roese 
89eefe2a2SStefan Roese #if BITS_PER_LONG == 64
99eefe2a2SStefan Roese 
10*0342e335SPeng Fan #define div64_long(x, y) div64_s64((x), (y))
11*0342e335SPeng Fan #define div64_ul(x, y)   div64_u64((x), (y))
12*0342e335SPeng Fan 
139eefe2a2SStefan Roese /**
149eefe2a2SStefan Roese  * div_u64_rem - unsigned 64bit divide with 32bit divisor with remainder
159eefe2a2SStefan Roese  *
169eefe2a2SStefan Roese  * This is commonly provided by 32bit archs to provide an optimized 64bit
179eefe2a2SStefan Roese  * divide.
189eefe2a2SStefan Roese  */
div_u64_rem(u64 dividend,u32 divisor,u32 * remainder)199eefe2a2SStefan Roese static inline u64 div_u64_rem(u64 dividend, u32 divisor, u32 *remainder)
209eefe2a2SStefan Roese {
219eefe2a2SStefan Roese 	*remainder = dividend % divisor;
229eefe2a2SStefan Roese 	return dividend / divisor;
239eefe2a2SStefan Roese }
249eefe2a2SStefan Roese 
259eefe2a2SStefan Roese /**
269eefe2a2SStefan Roese  * div_s64_rem - signed 64bit divide with 32bit divisor with remainder
279eefe2a2SStefan Roese  */
div_s64_rem(s64 dividend,s32 divisor,s32 * remainder)289eefe2a2SStefan Roese static inline s64 div_s64_rem(s64 dividend, s32 divisor, s32 *remainder)
299eefe2a2SStefan Roese {
309eefe2a2SStefan Roese 	*remainder = dividend % divisor;
319eefe2a2SStefan Roese 	return dividend / divisor;
329eefe2a2SStefan Roese }
339eefe2a2SStefan Roese 
349eefe2a2SStefan Roese /**
35*0342e335SPeng Fan  * div64_u64_rem - unsigned 64bit divide with 64bit divisor and remainder
36*0342e335SPeng Fan  */
div64_u64_rem(u64 dividend,u64 divisor,u64 * remainder)37*0342e335SPeng Fan static inline u64 div64_u64_rem(u64 dividend, u64 divisor, u64 *remainder)
38*0342e335SPeng Fan {
39*0342e335SPeng Fan 	*remainder = dividend % divisor;
40*0342e335SPeng Fan 	return dividend / divisor;
41*0342e335SPeng Fan }
42*0342e335SPeng Fan 
43*0342e335SPeng Fan /**
449eefe2a2SStefan Roese  * div64_u64 - unsigned 64bit divide with 64bit divisor
459eefe2a2SStefan Roese  */
div64_u64(u64 dividend,u64 divisor)469eefe2a2SStefan Roese static inline u64 div64_u64(u64 dividend, u64 divisor)
479eefe2a2SStefan Roese {
489eefe2a2SStefan Roese 	return dividend / divisor;
499eefe2a2SStefan Roese }
509eefe2a2SStefan Roese 
51*0342e335SPeng Fan /**
52*0342e335SPeng Fan  * div64_s64 - signed 64bit divide with 64bit divisor
53*0342e335SPeng Fan  */
div64_s64(s64 dividend,s64 divisor)54*0342e335SPeng Fan static inline s64 div64_s64(s64 dividend, s64 divisor)
55*0342e335SPeng Fan {
56*0342e335SPeng Fan 	return dividend / divisor;
57*0342e335SPeng Fan }
58*0342e335SPeng Fan 
599eefe2a2SStefan Roese #elif BITS_PER_LONG == 32
609eefe2a2SStefan Roese 
61*0342e335SPeng Fan #define div64_long(x, y) div_s64((x), (y))
62*0342e335SPeng Fan #define div64_ul(x, y)   div_u64((x), (y))
63*0342e335SPeng Fan 
649eefe2a2SStefan Roese #ifndef div_u64_rem
div_u64_rem(u64 dividend,u32 divisor,u32 * remainder)659eefe2a2SStefan Roese static inline u64 div_u64_rem(u64 dividend, u32 divisor, u32 *remainder)
669eefe2a2SStefan Roese {
679eefe2a2SStefan Roese 	*remainder = do_div(dividend, divisor);
689eefe2a2SStefan Roese 	return dividend;
699eefe2a2SStefan Roese }
709eefe2a2SStefan Roese #endif
719eefe2a2SStefan Roese 
729eefe2a2SStefan Roese #ifndef div_s64_rem
739eefe2a2SStefan Roese extern s64 div_s64_rem(s64 dividend, s32 divisor, s32 *remainder);
749eefe2a2SStefan Roese #endif
759eefe2a2SStefan Roese 
76*0342e335SPeng Fan #ifndef div64_u64_rem
77*0342e335SPeng Fan extern u64 div64_u64_rem(u64 dividend, u64 divisor, u64 *remainder);
78*0342e335SPeng Fan #endif
79*0342e335SPeng Fan 
809eefe2a2SStefan Roese #ifndef div64_u64
819eefe2a2SStefan Roese extern u64 div64_u64(u64 dividend, u64 divisor);
829eefe2a2SStefan Roese #endif
839eefe2a2SStefan Roese 
84*0342e335SPeng Fan #ifndef div64_s64
85*0342e335SPeng Fan extern s64 div64_s64(s64 dividend, s64 divisor);
86*0342e335SPeng Fan #endif
87*0342e335SPeng Fan 
889eefe2a2SStefan Roese #endif /* BITS_PER_LONG */
899eefe2a2SStefan Roese 
909eefe2a2SStefan Roese /**
919eefe2a2SStefan Roese  * div_u64 - unsigned 64bit divide with 32bit divisor
929eefe2a2SStefan Roese  *
939eefe2a2SStefan Roese  * This is the most common 64bit divide and should be used if possible,
949eefe2a2SStefan Roese  * as many 32bit archs can optimize this variant better than a full 64bit
959eefe2a2SStefan Roese  * divide.
969eefe2a2SStefan Roese  */
979eefe2a2SStefan Roese #ifndef div_u64
div_u64(u64 dividend,u32 divisor)989eefe2a2SStefan Roese static inline u64 div_u64(u64 dividend, u32 divisor)
999eefe2a2SStefan Roese {
1009eefe2a2SStefan Roese 	u32 remainder;
1019eefe2a2SStefan Roese 	return div_u64_rem(dividend, divisor, &remainder);
1029eefe2a2SStefan Roese }
1039eefe2a2SStefan Roese #endif
1049eefe2a2SStefan Roese 
1059eefe2a2SStefan Roese /**
1069eefe2a2SStefan Roese  * div_s64 - signed 64bit divide with 32bit divisor
1079eefe2a2SStefan Roese  */
1089eefe2a2SStefan Roese #ifndef div_s64
div_s64(s64 dividend,s32 divisor)1099eefe2a2SStefan Roese static inline s64 div_s64(s64 dividend, s32 divisor)
1109eefe2a2SStefan Roese {
1119eefe2a2SStefan Roese 	s32 remainder;
1129eefe2a2SStefan Roese 	return div_s64_rem(dividend, divisor, &remainder);
1139eefe2a2SStefan Roese }
1149eefe2a2SStefan Roese #endif
1159eefe2a2SStefan Roese 
1169eefe2a2SStefan Roese u32 iter_div_u64_rem(u64 dividend, u32 divisor, u64 *remainder);
1179eefe2a2SStefan Roese 
118*0342e335SPeng Fan static __always_inline u32
__iter_div_u64_rem(u64 dividend,u32 divisor,u64 * remainder)119*0342e335SPeng Fan __iter_div_u64_rem(u64 dividend, u32 divisor, u64 *remainder)
120*0342e335SPeng Fan {
121*0342e335SPeng Fan 	u32 ret = 0;
122*0342e335SPeng Fan 
123*0342e335SPeng Fan 	while (dividend >= divisor) {
124*0342e335SPeng Fan 		/* The following asm() prevents the compiler from
125*0342e335SPeng Fan 		   optimising this loop into a modulo operation.  */
126*0342e335SPeng Fan 		asm("" : "+rm"(dividend));
127*0342e335SPeng Fan 
128*0342e335SPeng Fan 		dividend -= divisor;
129*0342e335SPeng Fan 		ret++;
130*0342e335SPeng Fan 	}
131*0342e335SPeng Fan 
132*0342e335SPeng Fan 	*remainder = dividend;
133*0342e335SPeng Fan 
134*0342e335SPeng Fan 	return ret;
135*0342e335SPeng Fan }
136*0342e335SPeng Fan 
137*0342e335SPeng Fan #ifndef mul_u32_u32
138*0342e335SPeng Fan /*
139*0342e335SPeng Fan  * Many a GCC version messes this up and generates a 64x64 mult :-(
140*0342e335SPeng Fan  */
mul_u32_u32(u32 a,u32 b)141*0342e335SPeng Fan static inline u64 mul_u32_u32(u32 a, u32 b)
142*0342e335SPeng Fan {
143*0342e335SPeng Fan 	return (u64)a * b;
144*0342e335SPeng Fan }
145*0342e335SPeng Fan #endif
146*0342e335SPeng Fan 
147*0342e335SPeng Fan #if defined(CONFIG_ARCH_SUPPORTS_INT128) && defined(__SIZEOF_INT128__)
148*0342e335SPeng Fan 
149*0342e335SPeng Fan #ifndef mul_u64_u32_shr
mul_u64_u32_shr(u64 a,u32 mul,unsigned int shift)150*0342e335SPeng Fan static inline u64 mul_u64_u32_shr(u64 a, u32 mul, unsigned int shift)
151*0342e335SPeng Fan {
152*0342e335SPeng Fan 	return (u64)(((unsigned __int128)a * mul) >> shift);
153*0342e335SPeng Fan }
154*0342e335SPeng Fan #endif /* mul_u64_u32_shr */
155*0342e335SPeng Fan 
156*0342e335SPeng Fan #ifndef mul_u64_u64_shr
mul_u64_u64_shr(u64 a,u64 mul,unsigned int shift)157*0342e335SPeng Fan static inline u64 mul_u64_u64_shr(u64 a, u64 mul, unsigned int shift)
158*0342e335SPeng Fan {
159*0342e335SPeng Fan 	return (u64)(((unsigned __int128)a * mul) >> shift);
160*0342e335SPeng Fan }
161*0342e335SPeng Fan #endif /* mul_u64_u64_shr */
162*0342e335SPeng Fan 
163*0342e335SPeng Fan #else
164*0342e335SPeng Fan 
165*0342e335SPeng Fan #ifndef mul_u64_u32_shr
mul_u64_u32_shr(u64 a,u32 mul,unsigned int shift)166*0342e335SPeng Fan static inline u64 mul_u64_u32_shr(u64 a, u32 mul, unsigned int shift)
167*0342e335SPeng Fan {
168*0342e335SPeng Fan 	u32 ah, al;
169*0342e335SPeng Fan 	u64 ret;
170*0342e335SPeng Fan 
171*0342e335SPeng Fan 	al = a;
172*0342e335SPeng Fan 	ah = a >> 32;
173*0342e335SPeng Fan 
174*0342e335SPeng Fan 	ret = mul_u32_u32(al, mul) >> shift;
175*0342e335SPeng Fan 	if (ah)
176*0342e335SPeng Fan 		ret += mul_u32_u32(ah, mul) << (32 - shift);
177*0342e335SPeng Fan 
178*0342e335SPeng Fan 	return ret;
179*0342e335SPeng Fan }
180*0342e335SPeng Fan #endif /* mul_u64_u32_shr */
181*0342e335SPeng Fan 
182*0342e335SPeng Fan #ifndef mul_u64_u64_shr
mul_u64_u64_shr(u64 a,u64 b,unsigned int shift)183*0342e335SPeng Fan static inline u64 mul_u64_u64_shr(u64 a, u64 b, unsigned int shift)
184*0342e335SPeng Fan {
185*0342e335SPeng Fan 	union {
186*0342e335SPeng Fan 		u64 ll;
187*0342e335SPeng Fan 		struct {
188*0342e335SPeng Fan #ifdef __BIG_ENDIAN
189*0342e335SPeng Fan 			u32 high, low;
190*0342e335SPeng Fan #else
191*0342e335SPeng Fan 			u32 low, high;
192*0342e335SPeng Fan #endif
193*0342e335SPeng Fan 		} l;
194*0342e335SPeng Fan 	} rl, rm, rn, rh, a0, b0;
195*0342e335SPeng Fan 	u64 c;
196*0342e335SPeng Fan 
197*0342e335SPeng Fan 	a0.ll = a;
198*0342e335SPeng Fan 	b0.ll = b;
199*0342e335SPeng Fan 
200*0342e335SPeng Fan 	rl.ll = mul_u32_u32(a0.l.low, b0.l.low);
201*0342e335SPeng Fan 	rm.ll = mul_u32_u32(a0.l.low, b0.l.high);
202*0342e335SPeng Fan 	rn.ll = mul_u32_u32(a0.l.high, b0.l.low);
203*0342e335SPeng Fan 	rh.ll = mul_u32_u32(a0.l.high, b0.l.high);
204*0342e335SPeng Fan 
205*0342e335SPeng Fan 	/*
206*0342e335SPeng Fan 	 * Each of these lines computes a 64-bit intermediate result into "c",
207*0342e335SPeng Fan 	 * starting at bits 32-95.  The low 32-bits go into the result of the
208*0342e335SPeng Fan 	 * multiplication, the high 32-bits are carried into the next step.
209*0342e335SPeng Fan 	 */
210*0342e335SPeng Fan 	rl.l.high = c = (u64)rl.l.high + rm.l.low + rn.l.low;
211*0342e335SPeng Fan 	rh.l.low = c = (c >> 32) + rm.l.high + rn.l.high + rh.l.low;
212*0342e335SPeng Fan 	rh.l.high = (c >> 32) + rh.l.high;
213*0342e335SPeng Fan 
214*0342e335SPeng Fan 	/*
215*0342e335SPeng Fan 	 * The 128-bit result of the multiplication is in rl.ll and rh.ll,
216*0342e335SPeng Fan 	 * shift it right and throw away the high part of the result.
217*0342e335SPeng Fan 	 */
218*0342e335SPeng Fan 	if (shift == 0)
219*0342e335SPeng Fan 		return rl.ll;
220*0342e335SPeng Fan 	if (shift < 64)
221*0342e335SPeng Fan 		return (rl.ll >> shift) | (rh.ll << (64 - shift));
222*0342e335SPeng Fan 	return rh.ll >> (shift & 63);
223*0342e335SPeng Fan }
224*0342e335SPeng Fan #endif /* mul_u64_u64_shr */
225*0342e335SPeng Fan 
226*0342e335SPeng Fan #endif
227*0342e335SPeng Fan 
228*0342e335SPeng Fan #ifndef mul_u64_u32_div
mul_u64_u32_div(u64 a,u32 mul,u32 divisor)229*0342e335SPeng Fan static inline u64 mul_u64_u32_div(u64 a, u32 mul, u32 divisor)
230*0342e335SPeng Fan {
231*0342e335SPeng Fan 	union {
232*0342e335SPeng Fan 		u64 ll;
233*0342e335SPeng Fan 		struct {
234*0342e335SPeng Fan #ifdef __BIG_ENDIAN
235*0342e335SPeng Fan 			u32 high, low;
236*0342e335SPeng Fan #else
237*0342e335SPeng Fan 			u32 low, high;
238*0342e335SPeng Fan #endif
239*0342e335SPeng Fan 		} l;
240*0342e335SPeng Fan 	} u, rl, rh;
241*0342e335SPeng Fan 
242*0342e335SPeng Fan 	u.ll = a;
243*0342e335SPeng Fan 	rl.ll = mul_u32_u32(u.l.low, mul);
244*0342e335SPeng Fan 	rh.ll = mul_u32_u32(u.l.high, mul) + rl.l.high;
245*0342e335SPeng Fan 
246*0342e335SPeng Fan 	/* Bits 32-63 of the result will be in rh.l.low. */
247*0342e335SPeng Fan 	rl.l.high = do_div(rh.ll, divisor);
248*0342e335SPeng Fan 
249*0342e335SPeng Fan 	/* Bits 0-31 of the result will be in rl.l.low.	*/
250*0342e335SPeng Fan 	do_div(rl.ll, divisor);
251*0342e335SPeng Fan 
252*0342e335SPeng Fan 	rl.l.high = rh.l.low;
253*0342e335SPeng Fan 	return rl.ll;
254*0342e335SPeng Fan }
255*0342e335SPeng Fan #endif /* mul_u64_u32_div */
256*0342e335SPeng Fan 
2579eefe2a2SStefan Roese #endif /* _LINUX_MATH64_H */
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