qemu/include/qemu/host-utils.h
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   1/*
   2 * Utility compute operations used by translated code.
   3 *
   4 * Copyright (c) 2007 Thiemo Seufer
   5 * Copyright (c) 2007 Jocelyn Mayer
   6 *
   7 * Permission is hereby granted, free of charge, to any person obtaining a copy
   8 * of this software and associated documentation files (the "Software"), to deal
   9 * in the Software without restriction, including without limitation the rights
  10 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
  11 * copies of the Software, and to permit persons to whom the Software is
  12 * furnished to do so, subject to the following conditions:
  13 *
  14 * The above copyright notice and this permission notice shall be included in
  15 * all copies or substantial portions of the Software.
  16 *
  17 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
  18 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
  19 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
  20 * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
  21 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
  22 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
  23 * THE SOFTWARE.
  24 */
  25#ifndef HOST_UTILS_H
  26#define HOST_UTILS_H 1
  27
  28#include "qemu/bswap.h"
  29
  30#ifdef CONFIG_INT128
  31static inline void mulu64(uint64_t *plow, uint64_t *phigh,
  32                          uint64_t a, uint64_t b)
  33{
  34    __uint128_t r = (__uint128_t)a * b;
  35    *plow = r;
  36    *phigh = r >> 64;
  37}
  38
  39static inline void muls64(uint64_t *plow, uint64_t *phigh,
  40                          int64_t a, int64_t b)
  41{
  42    __int128_t r = (__int128_t)a * b;
  43    *plow = r;
  44    *phigh = r >> 64;
  45}
  46
  47/* compute with 96 bit intermediate result: (a*b)/c */
  48static inline uint64_t muldiv64(uint64_t a, uint32_t b, uint32_t c)
  49{
  50    return (__int128_t)a * b / c;
  51}
  52
  53static inline int divu128(uint64_t *plow, uint64_t *phigh, uint64_t divisor)
  54{
  55    if (divisor == 0) {
  56        return 1;
  57    } else {
  58        __uint128_t dividend = ((__uint128_t)*phigh << 64) | *plow;
  59        __uint128_t result = dividend / divisor;
  60        *plow = result;
  61        *phigh = dividend % divisor;
  62        return result > UINT64_MAX;
  63    }
  64}
  65
  66static inline int divs128(int64_t *plow, int64_t *phigh, int64_t divisor)
  67{
  68    if (divisor == 0) {
  69        return 1;
  70    } else {
  71        __int128_t dividend = ((__int128_t)*phigh << 64) | *plow;
  72        __int128_t result = dividend / divisor;
  73        *plow = result;
  74        *phigh = dividend % divisor;
  75        return result != *plow;
  76    }
  77}
  78#else
  79void muls64(uint64_t *phigh, uint64_t *plow, int64_t a, int64_t b);
  80void mulu64(uint64_t *phigh, uint64_t *plow, uint64_t a, uint64_t b);
  81int divu128(uint64_t *plow, uint64_t *phigh, uint64_t divisor);
  82int divs128(int64_t *plow, int64_t *phigh, int64_t divisor);
  83
  84static inline uint64_t muldiv64(uint64_t a, uint32_t b, uint32_t c)
  85{
  86    union {
  87        uint64_t ll;
  88        struct {
  89#ifdef HOST_WORDS_BIGENDIAN
  90            uint32_t high, low;
  91#else
  92            uint32_t low, high;
  93#endif
  94        } l;
  95    } u, res;
  96    uint64_t rl, rh;
  97
  98    u.ll = a;
  99    rl = (uint64_t)u.l.low * (uint64_t)b;
 100    rh = (uint64_t)u.l.high * (uint64_t)b;
 101    rh += (rl >> 32);
 102    res.l.high = rh / c;
 103    res.l.low = (((rh % c) << 32) + (rl & 0xffffffff)) / c;
 104    return res.ll;
 105}
 106#endif
 107
 108/**
 109 * clz32 - count leading zeros in a 32-bit value.
 110 * @val: The value to search
 111 *
 112 * Returns 32 if the value is zero.  Note that the GCC builtin is
 113 * undefined if the value is zero.
 114 */
 115static inline int clz32(uint32_t val)
 116{
 117#if QEMU_GNUC_PREREQ(3, 4)
 118    return val ? __builtin_clz(val) : 32;
 119#else
 120    /* Binary search for the leading one bit.  */
 121    int cnt = 0;
 122
 123    if (!(val & 0xFFFF0000U)) {
 124        cnt += 16;
 125        val <<= 16;
 126    }
 127    if (!(val & 0xFF000000U)) {
 128        cnt += 8;
 129        val <<= 8;
 130    }
 131    if (!(val & 0xF0000000U)) {
 132        cnt += 4;
 133        val <<= 4;
 134    }
 135    if (!(val & 0xC0000000U)) {
 136        cnt += 2;
 137        val <<= 2;
 138    }
 139    if (!(val & 0x80000000U)) {
 140        cnt++;
 141        val <<= 1;
 142    }
 143    if (!(val & 0x80000000U)) {
 144        cnt++;
 145    }
 146    return cnt;
 147#endif
 148}
 149
 150/**
 151 * clo32 - count leading ones in a 32-bit value.
 152 * @val: The value to search
 153 *
 154 * Returns 32 if the value is -1.
 155 */
 156static inline int clo32(uint32_t val)
 157{
 158    return clz32(~val);
 159}
 160
 161/**
 162 * clz64 - count leading zeros in a 64-bit value.
 163 * @val: The value to search
 164 *
 165 * Returns 64 if the value is zero.  Note that the GCC builtin is
 166 * undefined if the value is zero.
 167 */
 168static inline int clz64(uint64_t val)
 169{
 170#if QEMU_GNUC_PREREQ(3, 4)
 171    return val ? __builtin_clzll(val) : 64;
 172#else
 173    int cnt = 0;
 174
 175    if (!(val >> 32)) {
 176        cnt += 32;
 177    } else {
 178        val >>= 32;
 179    }
 180
 181    return cnt + clz32(val);
 182#endif
 183}
 184
 185/**
 186 * clo64 - count leading ones in a 64-bit value.
 187 * @val: The value to search
 188 *
 189 * Returns 64 if the value is -1.
 190 */
 191static inline int clo64(uint64_t val)
 192{
 193    return clz64(~val);
 194}
 195
 196/**
 197 * ctz32 - count trailing zeros in a 32-bit value.
 198 * @val: The value to search
 199 *
 200 * Returns 32 if the value is zero.  Note that the GCC builtin is
 201 * undefined if the value is zero.
 202 */
 203static inline int ctz32(uint32_t val)
 204{
 205#if QEMU_GNUC_PREREQ(3, 4)
 206    return val ? __builtin_ctz(val) : 32;
 207#else
 208    /* Binary search for the trailing one bit.  */
 209    int cnt;
 210
 211    cnt = 0;
 212    if (!(val & 0x0000FFFFUL)) {
 213        cnt += 16;
 214        val >>= 16;
 215    }
 216    if (!(val & 0x000000FFUL)) {
 217        cnt += 8;
 218        val >>= 8;
 219    }
 220    if (!(val & 0x0000000FUL)) {
 221        cnt += 4;
 222        val >>= 4;
 223    }
 224    if (!(val & 0x00000003UL)) {
 225        cnt += 2;
 226        val >>= 2;
 227    }
 228    if (!(val & 0x00000001UL)) {
 229        cnt++;
 230        val >>= 1;
 231    }
 232    if (!(val & 0x00000001UL)) {
 233        cnt++;
 234    }
 235
 236    return cnt;
 237#endif
 238}
 239
 240/**
 241 * cto32 - count trailing ones in a 32-bit value.
 242 * @val: The value to search
 243 *
 244 * Returns 32 if the value is -1.
 245 */
 246static inline int cto32(uint32_t val)
 247{
 248    return ctz32(~val);
 249}
 250
 251/**
 252 * ctz64 - count trailing zeros in a 64-bit value.
 253 * @val: The value to search
 254 *
 255 * Returns 64 if the value is zero.  Note that the GCC builtin is
 256 * undefined if the value is zero.
 257 */
 258static inline int ctz64(uint64_t val)
 259{
 260#if QEMU_GNUC_PREREQ(3, 4)
 261    return val ? __builtin_ctzll(val) : 64;
 262#else
 263    int cnt;
 264
 265    cnt = 0;
 266    if (!((uint32_t)val)) {
 267        cnt += 32;
 268        val >>= 32;
 269    }
 270
 271    return cnt + ctz32(val);
 272#endif
 273}
 274
 275/**
 276 * cto64 - count trailing ones in a 64-bit value.
 277 * @val: The value to search
 278 *
 279 * Returns 64 if the value is -1.
 280 */
 281static inline int cto64(uint64_t val)
 282{
 283    return ctz64(~val);
 284}
 285
 286/**
 287 * clrsb32 - count leading redundant sign bits in a 32-bit value.
 288 * @val: The value to search
 289 *
 290 * Returns the number of bits following the sign bit that are equal to it.
 291 * No special cases; output range is [0-31].
 292 */
 293static inline int clrsb32(uint32_t val)
 294{
 295#if QEMU_GNUC_PREREQ(4, 7)
 296    return __builtin_clrsb(val);
 297#else
 298    return clz32(val ^ ((int32_t)val >> 1)) - 1;
 299#endif
 300}
 301
 302/**
 303 * clrsb64 - count leading redundant sign bits in a 64-bit value.
 304 * @val: The value to search
 305 *
 306 * Returns the number of bits following the sign bit that are equal to it.
 307 * No special cases; output range is [0-63].
 308 */
 309static inline int clrsb64(uint64_t val)
 310{
 311#if QEMU_GNUC_PREREQ(4, 7)
 312    return __builtin_clrsbll(val);
 313#else
 314    return clz64(val ^ ((int64_t)val >> 1)) - 1;
 315#endif
 316}
 317
 318/**
 319 * ctpop8 - count the population of one bits in an 8-bit value.
 320 * @val: The value to search
 321 */
 322static inline int ctpop8(uint8_t val)
 323{
 324#if QEMU_GNUC_PREREQ(3, 4)
 325    return __builtin_popcount(val);
 326#else
 327    val = (val & 0x55) + ((val >> 1) & 0x55);
 328    val = (val & 0x33) + ((val >> 2) & 0x33);
 329    val = (val & 0x0f) + ((val >> 4) & 0x0f);
 330
 331    return val;
 332#endif
 333}
 334
 335/**
 336 * ctpop16 - count the population of one bits in a 16-bit value.
 337 * @val: The value to search
 338 */
 339static inline int ctpop16(uint16_t val)
 340{
 341#if QEMU_GNUC_PREREQ(3, 4)
 342    return __builtin_popcount(val);
 343#else
 344    val = (val & 0x5555) + ((val >> 1) & 0x5555);
 345    val = (val & 0x3333) + ((val >> 2) & 0x3333);
 346    val = (val & 0x0f0f) + ((val >> 4) & 0x0f0f);
 347    val = (val & 0x00ff) + ((val >> 8) & 0x00ff);
 348
 349    return val;
 350#endif
 351}
 352
 353/**
 354 * ctpop32 - count the population of one bits in a 32-bit value.
 355 * @val: The value to search
 356 */
 357static inline int ctpop32(uint32_t val)
 358{
 359#if QEMU_GNUC_PREREQ(3, 4)
 360    return __builtin_popcount(val);
 361#else
 362    val = (val & 0x55555555) + ((val >>  1) & 0x55555555);
 363    val = (val & 0x33333333) + ((val >>  2) & 0x33333333);
 364    val = (val & 0x0f0f0f0f) + ((val >>  4) & 0x0f0f0f0f);
 365    val = (val & 0x00ff00ff) + ((val >>  8) & 0x00ff00ff);
 366    val = (val & 0x0000ffff) + ((val >> 16) & 0x0000ffff);
 367
 368    return val;
 369#endif
 370}
 371
 372/**
 373 * ctpop64 - count the population of one bits in a 64-bit value.
 374 * @val: The value to search
 375 */
 376static inline int ctpop64(uint64_t val)
 377{
 378#if QEMU_GNUC_PREREQ(3, 4)
 379    return __builtin_popcountll(val);
 380#else
 381    val = (val & 0x5555555555555555ULL) + ((val >>  1) & 0x5555555555555555ULL);
 382    val = (val & 0x3333333333333333ULL) + ((val >>  2) & 0x3333333333333333ULL);
 383    val = (val & 0x0f0f0f0f0f0f0f0fULL) + ((val >>  4) & 0x0f0f0f0f0f0f0f0fULL);
 384    val = (val & 0x00ff00ff00ff00ffULL) + ((val >>  8) & 0x00ff00ff00ff00ffULL);
 385    val = (val & 0x0000ffff0000ffffULL) + ((val >> 16) & 0x0000ffff0000ffffULL);
 386    val = (val & 0x00000000ffffffffULL) + ((val >> 32) & 0x00000000ffffffffULL);
 387
 388    return val;
 389#endif
 390}
 391
 392/**
 393 * revbit8 - reverse the bits in an 8-bit value.
 394 * @x: The value to modify.
 395 */
 396static inline uint8_t revbit8(uint8_t x)
 397{
 398    /* Assign the correct nibble position.  */
 399    x = ((x & 0xf0) >> 4)
 400      | ((x & 0x0f) << 4);
 401    /* Assign the correct bit position.  */
 402    x = ((x & 0x88) >> 3)
 403      | ((x & 0x44) >> 1)
 404      | ((x & 0x22) << 1)
 405      | ((x & 0x11) << 3);
 406    return x;
 407}
 408
 409/**
 410 * revbit16 - reverse the bits in a 16-bit value.
 411 * @x: The value to modify.
 412 */
 413static inline uint16_t revbit16(uint16_t x)
 414{
 415    /* Assign the correct byte position.  */
 416    x = bswap16(x);
 417    /* Assign the correct nibble position.  */
 418    x = ((x & 0xf0f0) >> 4)
 419      | ((x & 0x0f0f) << 4);
 420    /* Assign the correct bit position.  */
 421    x = ((x & 0x8888) >> 3)
 422      | ((x & 0x4444) >> 1)
 423      | ((x & 0x2222) << 1)
 424      | ((x & 0x1111) << 3);
 425    return x;
 426}
 427
 428/**
 429 * revbit32 - reverse the bits in a 32-bit value.
 430 * @x: The value to modify.
 431 */
 432static inline uint32_t revbit32(uint32_t x)
 433{
 434    /* Assign the correct byte position.  */
 435    x = bswap32(x);
 436    /* Assign the correct nibble position.  */
 437    x = ((x & 0xf0f0f0f0u) >> 4)
 438      | ((x & 0x0f0f0f0fu) << 4);
 439    /* Assign the correct bit position.  */
 440    x = ((x & 0x88888888u) >> 3)
 441      | ((x & 0x44444444u) >> 1)
 442      | ((x & 0x22222222u) << 1)
 443      | ((x & 0x11111111u) << 3);
 444    return x;
 445}
 446
 447/**
 448 * revbit64 - reverse the bits in a 64-bit value.
 449 * @x: The value to modify.
 450 */
 451static inline uint64_t revbit64(uint64_t x)
 452{
 453    /* Assign the correct byte position.  */
 454    x = bswap64(x);
 455    /* Assign the correct nibble position.  */
 456    x = ((x & 0xf0f0f0f0f0f0f0f0ull) >> 4)
 457      | ((x & 0x0f0f0f0f0f0f0f0full) << 4);
 458    /* Assign the correct bit position.  */
 459    x = ((x & 0x8888888888888888ull) >> 3)
 460      | ((x & 0x4444444444444444ull) >> 1)
 461      | ((x & 0x2222222222222222ull) << 1)
 462      | ((x & 0x1111111111111111ull) << 3);
 463    return x;
 464}
 465
 466/* Host type specific sizes of these routines.  */
 467
 468#if ULONG_MAX == UINT32_MAX
 469# define clzl   clz32
 470# define ctzl   ctz32
 471# define clol   clo32
 472# define ctol   cto32
 473# define ctpopl ctpop32
 474# define revbitl revbit32
 475#elif ULONG_MAX == UINT64_MAX
 476# define clzl   clz64
 477# define ctzl   ctz64
 478# define clol   clo64
 479# define ctol   cto64
 480# define ctpopl ctpop64
 481# define revbitl revbit64
 482#else
 483# error Unknown sizeof long
 484#endif
 485
 486static inline bool is_power_of_2(uint64_t value)
 487{
 488    if (!value) {
 489        return 0;
 490    }
 491
 492    return !(value & (value - 1));
 493}
 494
 495/* round down to the nearest power of 2*/
 496static inline int64_t pow2floor(int64_t value)
 497{
 498    if (!is_power_of_2(value)) {
 499        value = 0x8000000000000000ULL >> clz64(value);
 500    }
 501    return value;
 502}
 503
 504/* round up to the nearest power of 2 (0 if overflow) */
 505static inline uint64_t pow2ceil(uint64_t value)
 506{
 507    uint8_t nlz = clz64(value);
 508
 509    if (is_power_of_2(value)) {
 510        return value;
 511    }
 512    if (!nlz) {
 513        return 0;
 514    }
 515    return 1ULL << (64 - nlz);
 516}
 517
 518#endif
 519