linux/include/linux/math64.h
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   1#ifndef _LINUX_MATH64_H
   2#define _LINUX_MATH64_H
   3
   4#include <linux/types.h>
   5#include <asm/div64.h>
   6
   7#if BITS_PER_LONG == 64
   8
   9#define div64_long(x, y) div64_s64((x), (y))
  10#define div64_ul(x, y)   div64_u64((x), (y))
  11
  12/**
  13 * div_u64_rem - unsigned 64bit divide with 32bit divisor with remainder
  14 *
  15 * This is commonly provided by 32bit archs to provide an optimized 64bit
  16 * divide.
  17 */
  18static inline u64 div_u64_rem(u64 dividend, u32 divisor, u32 *remainder)
  19{
  20        *remainder = dividend % divisor;
  21        return dividend / divisor;
  22}
  23
  24/**
  25 * div_s64_rem - signed 64bit divide with 32bit divisor with remainder
  26 */
  27static inline s64 div_s64_rem(s64 dividend, s32 divisor, s32 *remainder)
  28{
  29        *remainder = dividend % divisor;
  30        return dividend / divisor;
  31}
  32
  33/**
  34 * div64_u64_rem - unsigned 64bit divide with 64bit divisor and remainder
  35 */
  36static inline u64 div64_u64_rem(u64 dividend, u64 divisor, u64 *remainder)
  37{
  38        *remainder = dividend % divisor;
  39        return dividend / divisor;
  40}
  41
  42/**
  43 * div64_u64 - unsigned 64bit divide with 64bit divisor
  44 */
  45static inline u64 div64_u64(u64 dividend, u64 divisor)
  46{
  47        return dividend / divisor;
  48}
  49
  50/**
  51 * div64_s64 - signed 64bit divide with 64bit divisor
  52 */
  53static inline s64 div64_s64(s64 dividend, s64 divisor)
  54{
  55        return dividend / divisor;
  56}
  57
  58#elif BITS_PER_LONG == 32
  59
  60#define div64_long(x, y) div_s64((x), (y))
  61#define div64_ul(x, y)   div_u64((x), (y))
  62
  63#ifndef div_u64_rem
  64static inline u64 div_u64_rem(u64 dividend, u32 divisor, u32 *remainder)
  65{
  66        *remainder = do_div(dividend, divisor);
  67        return dividend;
  68}
  69#endif
  70
  71#ifndef div_s64_rem
  72extern s64 div_s64_rem(s64 dividend, s32 divisor, s32 *remainder);
  73#endif
  74
  75#ifndef div64_u64_rem
  76extern u64 div64_u64_rem(u64 dividend, u64 divisor, u64 *remainder);
  77#endif
  78
  79#ifndef div64_u64
  80extern u64 div64_u64(u64 dividend, u64 divisor);
  81#endif
  82
  83#ifndef div64_s64
  84extern s64 div64_s64(s64 dividend, s64 divisor);
  85#endif
  86
  87#endif /* BITS_PER_LONG */
  88
  89/**
  90 * div_u64 - unsigned 64bit divide with 32bit divisor
  91 *
  92 * This is the most common 64bit divide and should be used if possible,
  93 * as many 32bit archs can optimize this variant better than a full 64bit
  94 * divide.
  95 */
  96#ifndef div_u64
  97static inline u64 div_u64(u64 dividend, u32 divisor)
  98{
  99        u32 remainder;
 100        return div_u64_rem(dividend, divisor, &remainder);
 101}
 102#endif
 103
 104/**
 105 * div_s64 - signed 64bit divide with 32bit divisor
 106 */
 107#ifndef div_s64
 108static inline s64 div_s64(s64 dividend, s32 divisor)
 109{
 110        s32 remainder;
 111        return div_s64_rem(dividend, divisor, &remainder);
 112}
 113#endif
 114
 115u32 iter_div_u64_rem(u64 dividend, u32 divisor, u64 *remainder);
 116
 117static __always_inline u32
 118__iter_div_u64_rem(u64 dividend, u32 divisor, u64 *remainder)
 119{
 120        u32 ret = 0;
 121
 122        while (dividend >= divisor) {
 123                /* The following asm() prevents the compiler from
 124                   optimising this loop into a modulo operation.  */
 125                asm("" : "+rm"(dividend));
 126
 127                dividend -= divisor;
 128                ret++;
 129        }
 130
 131        *remainder = dividend;
 132
 133        return ret;
 134}
 135
 136#if defined(CONFIG_ARCH_SUPPORTS_INT128) && defined(__SIZEOF_INT128__)
 137
 138#ifndef mul_u64_u32_shr
 139static inline u64 mul_u64_u32_shr(u64 a, u32 mul, unsigned int shift)
 140{
 141        return (u64)(((unsigned __int128)a * mul) >> shift);
 142}
 143#endif /* mul_u64_u32_shr */
 144
 145#ifndef mul_u64_u64_shr
 146static inline u64 mul_u64_u64_shr(u64 a, u64 mul, unsigned int shift)
 147{
 148        return (u64)(((unsigned __int128)a * mul) >> shift);
 149}
 150#endif /* mul_u64_u64_shr */
 151
 152#else
 153
 154#ifndef mul_u64_u32_shr
 155static inline u64 mul_u64_u32_shr(u64 a, u32 mul, unsigned int shift)
 156{
 157        u32 ah, al;
 158        u64 ret;
 159
 160        al = a;
 161        ah = a >> 32;
 162
 163        ret = ((u64)al * mul) >> shift;
 164        if (ah)
 165                ret += ((u64)ah * mul) << (32 - shift);
 166
 167        return ret;
 168}
 169#endif /* mul_u64_u32_shr */
 170
 171#ifndef mul_u64_u64_shr
 172static inline u64 mul_u64_u64_shr(u64 a, u64 b, unsigned int shift)
 173{
 174        union {
 175                u64 ll;
 176                struct {
 177#ifdef __BIG_ENDIAN
 178                        u32 high, low;
 179#else
 180                        u32 low, high;
 181#endif
 182                } l;
 183        } rl, rm, rn, rh, a0, b0;
 184        u64 c;
 185
 186        a0.ll = a;
 187        b0.ll = b;
 188
 189        rl.ll = (u64)a0.l.low * b0.l.low;
 190        rm.ll = (u64)a0.l.low * b0.l.high;
 191        rn.ll = (u64)a0.l.high * b0.l.low;
 192        rh.ll = (u64)a0.l.high * b0.l.high;
 193
 194        /*
 195         * Each of these lines computes a 64-bit intermediate result into "c",
 196         * starting at bits 32-95.  The low 32-bits go into the result of the
 197         * multiplication, the high 32-bits are carried into the next step.
 198         */
 199        rl.l.high = c = (u64)rl.l.high + rm.l.low + rn.l.low;
 200        rh.l.low = c = (c >> 32) + rm.l.high + rn.l.high + rh.l.low;
 201        rh.l.high = (c >> 32) + rh.l.high;
 202
 203        /*
 204         * The 128-bit result of the multiplication is in rl.ll and rh.ll,
 205         * shift it right and throw away the high part of the result.
 206         */
 207        if (shift == 0)
 208                return rl.ll;
 209        if (shift < 64)
 210                return (rl.ll >> shift) | (rh.ll << (64 - shift));
 211        return rh.ll >> (shift & 63);
 212}
 213#endif /* mul_u64_u64_shr */
 214
 215#endif
 216
 217#ifndef mul_u64_u32_div
 218static inline u64 mul_u64_u32_div(u64 a, u32 mul, u32 divisor)
 219{
 220        union {
 221                u64 ll;
 222                struct {
 223#ifdef __BIG_ENDIAN
 224                        u32 high, low;
 225#else
 226                        u32 low, high;
 227#endif
 228                } l;
 229        } u, rl, rh;
 230
 231        u.ll = a;
 232        rl.ll = (u64)u.l.low * mul;
 233        rh.ll = (u64)u.l.high * mul + rl.l.high;
 234
 235        /* Bits 32-63 of the result will be in rh.l.low. */
 236        rl.l.high = do_div(rh.ll, divisor);
 237
 238        /* Bits 0-31 of the result will be in rl.l.low. */
 239        do_div(rl.ll, divisor);
 240
 241        rl.l.high = rh.l.low;
 242        return rl.ll;
 243}
 244#endif /* mul_u64_u32_div */
 245
 246#endif /* _LINUX_MATH64_H */
 247