linux/include/linux/jiffies.h
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   1#ifndef _LINUX_JIFFIES_H
   2#define _LINUX_JIFFIES_H
   3
   4#include <linux/kernel.h>
   5#include <linux/types.h>
   6#include <linux/time.h>
   7#include <linux/timex.h>
   8#include <asm/param.h>                  /* for HZ */
   9#include <asm/div64.h>
  10
  11#ifndef div_long_long_rem
  12#define div_long_long_rem(dividend,divisor,remainder) \
  13({                                                      \
  14        u64 result = dividend;                          \
  15        *remainder = do_div(result,divisor);            \
  16        result;                                         \
  17})
  18#endif
  19
  20/*
  21 * The following defines establish the engineering parameters of the PLL
  22 * model. The HZ variable establishes the timer interrupt frequency, 100 Hz
  23 * for the SunOS kernel, 256 Hz for the Ultrix kernel and 1024 Hz for the
  24 * OSF/1 kernel. The SHIFT_HZ define expresses the same value as the
  25 * nearest power of two in order to avoid hardware multiply operations.
  26 */
  27#if HZ >= 12 && HZ < 24
  28# define SHIFT_HZ       4
  29#elif HZ >= 24 && HZ < 48
  30# define SHIFT_HZ       5
  31#elif HZ >= 48 && HZ < 96
  32# define SHIFT_HZ       6
  33#elif HZ >= 96 && HZ < 192
  34# define SHIFT_HZ       7
  35#elif HZ >= 192 && HZ < 384
  36# define SHIFT_HZ       8
  37#elif HZ >= 384 && HZ < 768
  38# define SHIFT_HZ       9
  39#elif HZ >= 768 && HZ < 1536
  40# define SHIFT_HZ       10
  41#else
  42# error You lose.
  43#endif
  44
  45/* LATCH is used in the interval timer and ftape setup. */
  46#define LATCH  ((CLOCK_TICK_RATE + HZ/2) / HZ)  /* For divider */
  47
  48/* Suppose we want to devide two numbers NOM and DEN: NOM/DEN, the we can
  49 * improve accuracy by shifting LSH bits, hence calculating:
  50 *     (NOM << LSH) / DEN
  51 * This however means trouble for large NOM, because (NOM << LSH) may no
  52 * longer fit in 32 bits. The following way of calculating this gives us
  53 * some slack, under the following conditions:
  54 *   - (NOM / DEN) fits in (32 - LSH) bits.
  55 *   - (NOM % DEN) fits in (32 - LSH) bits.
  56 */
  57#define SH_DIV(NOM,DEN,LSH) (   ((NOM / DEN) << LSH)                    \
  58                             + (((NOM % DEN) << LSH) + DEN / 2) / DEN)
  59
  60/* HZ is the requested value. ACTHZ is actual HZ ("<< 8" is for accuracy) */
  61#define ACTHZ (SH_DIV (CLOCK_TICK_RATE, LATCH, 8))
  62
  63/* TICK_NSEC is the time between ticks in nsec assuming real ACTHZ */
  64#define TICK_NSEC (SH_DIV (1000000UL * 1000, ACTHZ, 8))
  65
  66/* TICK_USEC is the time between ticks in usec assuming fake USER_HZ */
  67#define TICK_USEC ((1000000UL + USER_HZ/2) / USER_HZ)
  68
  69/* TICK_USEC_TO_NSEC is the time between ticks in nsec assuming real ACTHZ and  */
  70/* a value TUSEC for TICK_USEC (can be set bij adjtimex)                */
  71#define TICK_USEC_TO_NSEC(TUSEC) (SH_DIV (TUSEC * USER_HZ * 1000, ACTHZ, 8))
  72
  73/* some arch's have a small-data section that can be accessed register-relative
  74 * but that can only take up to, say, 4-byte variables. jiffies being part of
  75 * an 8-byte variable may not be correctly accessed unless we force the issue
  76 */
  77#define __jiffy_data  __attribute__((section(".data")))
  78
  79/*
  80 * The 64-bit value is not volatile - you MUST NOT read it
  81 * without sampling the sequence number in xtime_lock.
  82 * get_jiffies_64() will do this for you as appropriate.
  83 */
  84extern u64 __jiffy_data jiffies_64;
  85extern unsigned long volatile __jiffy_data jiffies;
  86
  87#if (BITS_PER_LONG < 64)
  88u64 get_jiffies_64(void);
  89#else
  90static inline u64 get_jiffies_64(void)
  91{
  92        return (u64)jiffies;
  93}
  94#endif
  95
  96/*
  97 *      These inlines deal with timer wrapping correctly. You are 
  98 *      strongly encouraged to use them
  99 *      1. Because people otherwise forget
 100 *      2. Because if the timer wrap changes in future you won't have to
 101 *         alter your driver code.
 102 *
 103 * time_after(a,b) returns true if the time a is after time b.
 104 *
 105 * Do this with "<0" and ">=0" to only test the sign of the result. A
 106 * good compiler would generate better code (and a really good compiler
 107 * wouldn't care). Gcc is currently neither.
 108 */
 109#define time_after(a,b)         \
 110        (typecheck(unsigned long, a) && \
 111         typecheck(unsigned long, b) && \
 112         ((long)(b) - (long)(a) < 0))
 113#define time_before(a,b)        time_after(b,a)
 114
 115#define time_after_eq(a,b)      \
 116        (typecheck(unsigned long, a) && \
 117         typecheck(unsigned long, b) && \
 118         ((long)(a) - (long)(b) >= 0))
 119#define time_before_eq(a,b)     time_after_eq(b,a)
 120
 121/*
 122 * Have the 32 bit jiffies value wrap 5 minutes after boot
 123 * so jiffies wrap bugs show up earlier.
 124 */
 125#define INITIAL_JIFFIES ((unsigned long)(unsigned int) (-300*HZ))
 126
 127/*
 128 * Change timeval to jiffies, trying to avoid the
 129 * most obvious overflows..
 130 *
 131 * And some not so obvious.
 132 *
 133 * Note that we don't want to return MAX_LONG, because
 134 * for various timeout reasons we often end up having
 135 * to wait "jiffies+1" in order to guarantee that we wait
 136 * at _least_ "jiffies" - so "jiffies+1" had better still
 137 * be positive.
 138 */
 139#define MAX_JIFFY_OFFSET ((~0UL >> 1)-1)
 140
 141/*
 142 * We want to do realistic conversions of time so we need to use the same
 143 * values the update wall clock code uses as the jiffies size.  This value
 144 * is: TICK_NSEC (which is defined in timex.h).  This
 145 * is a constant and is in nanoseconds.  We will used scaled math
 146 * with a set of scales defined here as SEC_JIFFIE_SC,  USEC_JIFFIE_SC and
 147 * NSEC_JIFFIE_SC.  Note that these defines contain nothing but
 148 * constants and so are computed at compile time.  SHIFT_HZ (computed in
 149 * timex.h) adjusts the scaling for different HZ values.
 150
 151 * Scaled math???  What is that?
 152 *
 153 * Scaled math is a way to do integer math on values that would,
 154 * otherwise, either overflow, underflow, or cause undesired div
 155 * instructions to appear in the execution path.  In short, we "scale"
 156 * up the operands so they take more bits (more precision, less
 157 * underflow), do the desired operation and then "scale" the result back
 158 * by the same amount.  If we do the scaling by shifting we avoid the
 159 * costly mpy and the dastardly div instructions.
 160
 161 * Suppose, for example, we want to convert from seconds to jiffies
 162 * where jiffies is defined in nanoseconds as NSEC_PER_JIFFIE.  The
 163 * simple math is: jiff = (sec * NSEC_PER_SEC) / NSEC_PER_JIFFIE; We
 164 * observe that (NSEC_PER_SEC / NSEC_PER_JIFFIE) is a constant which we
 165 * might calculate at compile time, however, the result will only have
 166 * about 3-4 bits of precision (less for smaller values of HZ).
 167 *
 168 * So, we scale as follows:
 169 * jiff = (sec) * (NSEC_PER_SEC / NSEC_PER_JIFFIE);
 170 * jiff = ((sec) * ((NSEC_PER_SEC * SCALE)/ NSEC_PER_JIFFIE)) / SCALE;
 171 * Then we make SCALE a power of two so:
 172 * jiff = ((sec) * ((NSEC_PER_SEC << SCALE)/ NSEC_PER_JIFFIE)) >> SCALE;
 173 * Now we define:
 174 * #define SEC_CONV = ((NSEC_PER_SEC << SCALE)/ NSEC_PER_JIFFIE))
 175 * jiff = (sec * SEC_CONV) >> SCALE;
 176 *
 177 * Often the math we use will expand beyond 32-bits so we tell C how to
 178 * do this and pass the 64-bit result of the mpy through the ">> SCALE"
 179 * which should take the result back to 32-bits.  We want this expansion
 180 * to capture as much precision as possible.  At the same time we don't
 181 * want to overflow so we pick the SCALE to avoid this.  In this file,
 182 * that means using a different scale for each range of HZ values (as
 183 * defined in timex.h).
 184 *
 185 * For those who want to know, gcc will give a 64-bit result from a "*"
 186 * operator if the result is a long long AND at least one of the
 187 * operands is cast to long long (usually just prior to the "*" so as
 188 * not to confuse it into thinking it really has a 64-bit operand,
 189 * which, buy the way, it can do, but it take more code and at least 2
 190 * mpys).
 191
 192 * We also need to be aware that one second in nanoseconds is only a
 193 * couple of bits away from overflowing a 32-bit word, so we MUST use
 194 * 64-bits to get the full range time in nanoseconds.
 195
 196 */
 197
 198/*
 199 * Here are the scales we will use.  One for seconds, nanoseconds and
 200 * microseconds.
 201 *
 202 * Within the limits of cpp we do a rough cut at the SEC_JIFFIE_SC and
 203 * check if the sign bit is set.  If not, we bump the shift count by 1.
 204 * (Gets an extra bit of precision where we can use it.)
 205 * We know it is set for HZ = 1024 and HZ = 100 not for 1000.
 206 * Haven't tested others.
 207
 208 * Limits of cpp (for #if expressions) only long (no long long), but
 209 * then we only need the most signicant bit.
 210 */
 211
 212#define SEC_JIFFIE_SC (31 - SHIFT_HZ)
 213#if !((((NSEC_PER_SEC << 2) / TICK_NSEC) << (SEC_JIFFIE_SC - 2)) & 0x80000000)
 214#undef SEC_JIFFIE_SC
 215#define SEC_JIFFIE_SC (32 - SHIFT_HZ)
 216#endif
 217#define NSEC_JIFFIE_SC (SEC_JIFFIE_SC + 29)
 218#define USEC_JIFFIE_SC (SEC_JIFFIE_SC + 19)
 219#define SEC_CONVERSION ((unsigned long)((((u64)NSEC_PER_SEC << SEC_JIFFIE_SC) +\
 220                                TICK_NSEC -1) / (u64)TICK_NSEC))
 221
 222#define NSEC_CONVERSION ((unsigned long)((((u64)1 << NSEC_JIFFIE_SC) +\
 223                                        TICK_NSEC -1) / (u64)TICK_NSEC))
 224#define USEC_CONVERSION  \
 225                    ((unsigned long)((((u64)NSEC_PER_USEC << USEC_JIFFIE_SC) +\
 226                                        TICK_NSEC -1) / (u64)TICK_NSEC))
 227/*
 228 * USEC_ROUND is used in the timeval to jiffie conversion.  See there
 229 * for more details.  It is the scaled resolution rounding value.  Note
 230 * that it is a 64-bit value.  Since, when it is applied, we are already
 231 * in jiffies (albit scaled), it is nothing but the bits we will shift
 232 * off.
 233 */
 234#define USEC_ROUND (u64)(((u64)1 << USEC_JIFFIE_SC) - 1)
 235/*
 236 * The maximum jiffie value is (MAX_INT >> 1).  Here we translate that
 237 * into seconds.  The 64-bit case will overflow if we are not careful,
 238 * so use the messy SH_DIV macro to do it.  Still all constants.
 239 */
 240#if BITS_PER_LONG < 64
 241# define MAX_SEC_IN_JIFFIES \
 242        (long)((u64)((u64)MAX_JIFFY_OFFSET * TICK_NSEC) / NSEC_PER_SEC)
 243#else   /* take care of overflow on 64 bits machines */
 244# define MAX_SEC_IN_JIFFIES \
 245        (SH_DIV((MAX_JIFFY_OFFSET >> SEC_JIFFIE_SC) * TICK_NSEC, NSEC_PER_SEC, 1) - 1)
 246
 247#endif
 248
 249/*
 250 * Convert jiffies to milliseconds and back.
 251 *
 252 * Avoid unnecessary multiplications/divisions in the
 253 * two most common HZ cases:
 254 */
 255static inline unsigned int jiffies_to_msecs(const unsigned long j)
 256{
 257#if HZ <= 1000 && !(1000 % HZ)
 258        return (1000 / HZ) * j;
 259#elif HZ > 1000 && !(HZ % 1000)
 260        return (j + (HZ / 1000) - 1)/(HZ / 1000);
 261#else
 262        return (j * 1000) / HZ;
 263#endif
 264}
 265
 266static inline unsigned int jiffies_to_usecs(const unsigned long j)
 267{
 268#if HZ <= 1000000 && !(1000000 % HZ)
 269        return (1000000 / HZ) * j;
 270#elif HZ > 1000000 && !(HZ % 1000000)
 271        return (j + (HZ / 1000000) - 1)/(HZ / 1000000);
 272#else
 273        return (j * 1000000) / HZ;
 274#endif
 275}
 276
 277static inline unsigned long msecs_to_jiffies(const unsigned int m)
 278{
 279        if (m > jiffies_to_msecs(MAX_JIFFY_OFFSET))
 280                return MAX_JIFFY_OFFSET;
 281#if HZ <= 1000 && !(1000 % HZ)
 282        return (m + (1000 / HZ) - 1) / (1000 / HZ);
 283#elif HZ > 1000 && !(HZ % 1000)
 284        return m * (HZ / 1000);
 285#else
 286        return (m * HZ + 999) / 1000;
 287#endif
 288}
 289
 290static inline unsigned long usecs_to_jiffies(const unsigned int u)
 291{
 292        if (u > jiffies_to_usecs(MAX_JIFFY_OFFSET))
 293                return MAX_JIFFY_OFFSET;
 294#if HZ <= 1000000 && !(1000000 % HZ)
 295        return (u + (1000000 / HZ) - 1) / (1000000 / HZ);
 296#elif HZ > 1000000 && !(HZ % 1000000)
 297        return u * (HZ / 1000000);
 298#else
 299        return (u * HZ + 999999) / 1000000;
 300#endif
 301}
 302
 303/*
 304 * The TICK_NSEC - 1 rounds up the value to the next resolution.  Note
 305 * that a remainder subtract here would not do the right thing as the
 306 * resolution values don't fall on second boundries.  I.e. the line:
 307 * nsec -= nsec % TICK_NSEC; is NOT a correct resolution rounding.
 308 *
 309 * Rather, we just shift the bits off the right.
 310 *
 311 * The >> (NSEC_JIFFIE_SC - SEC_JIFFIE_SC) converts the scaled nsec
 312 * value to a scaled second value.
 313 */
 314static __inline__ unsigned long
 315timespec_to_jiffies(const struct timespec *value)
 316{
 317        unsigned long sec = value->tv_sec;
 318        long nsec = value->tv_nsec + TICK_NSEC - 1;
 319
 320        if (sec >= MAX_SEC_IN_JIFFIES){
 321                sec = MAX_SEC_IN_JIFFIES;
 322                nsec = 0;
 323        }
 324        return (((u64)sec * SEC_CONVERSION) +
 325                (((u64)nsec * NSEC_CONVERSION) >>
 326                 (NSEC_JIFFIE_SC - SEC_JIFFIE_SC))) >> SEC_JIFFIE_SC;
 327
 328}
 329
 330static __inline__ void
 331jiffies_to_timespec(const unsigned long jiffies, struct timespec *value)
 332{
 333        /*
 334         * Convert jiffies to nanoseconds and separate with
 335         * one divide.
 336         */
 337        u64 nsec = (u64)jiffies * TICK_NSEC;
 338        value->tv_sec = div_long_long_rem(nsec, NSEC_PER_SEC, &value->tv_nsec);
 339}
 340
 341/* Same for "timeval"
 342 *
 343 * Well, almost.  The problem here is that the real system resolution is
 344 * in nanoseconds and the value being converted is in micro seconds.
 345 * Also for some machines (those that use HZ = 1024, in-particular),
 346 * there is a LARGE error in the tick size in microseconds.
 347
 348 * The solution we use is to do the rounding AFTER we convert the
 349 * microsecond part.  Thus the USEC_ROUND, the bits to be shifted off.
 350 * Instruction wise, this should cost only an additional add with carry
 351 * instruction above the way it was done above.
 352 */
 353static __inline__ unsigned long
 354timeval_to_jiffies(const struct timeval *value)
 355{
 356        unsigned long sec = value->tv_sec;
 357        long usec = value->tv_usec;
 358
 359        if (sec >= MAX_SEC_IN_JIFFIES){
 360                sec = MAX_SEC_IN_JIFFIES;
 361                usec = 0;
 362        }
 363        return (((u64)sec * SEC_CONVERSION) +
 364                (((u64)usec * USEC_CONVERSION + USEC_ROUND) >>
 365                 (USEC_JIFFIE_SC - SEC_JIFFIE_SC))) >> SEC_JIFFIE_SC;
 366}
 367
 368static __inline__ void
 369jiffies_to_timeval(const unsigned long jiffies, struct timeval *value)
 370{
 371        /*
 372         * Convert jiffies to nanoseconds and separate with
 373         * one divide.
 374         */
 375        u64 nsec = (u64)jiffies * TICK_NSEC;
 376        value->tv_sec = div_long_long_rem(nsec, NSEC_PER_SEC, &value->tv_usec);
 377        value->tv_usec /= NSEC_PER_USEC;
 378}
 379
 380/*
 381 * Convert jiffies/jiffies_64 to clock_t and back.
 382 */
 383static inline clock_t jiffies_to_clock_t(long x)
 384{
 385#if (TICK_NSEC % (NSEC_PER_SEC / USER_HZ)) == 0
 386        return x / (HZ / USER_HZ);
 387#else
 388        u64 tmp = (u64)x * TICK_NSEC;
 389        do_div(tmp, (NSEC_PER_SEC / USER_HZ));
 390        return (long)tmp;
 391#endif
 392}
 393
 394static inline unsigned long clock_t_to_jiffies(unsigned long x)
 395{
 396#if (HZ % USER_HZ)==0
 397        if (x >= ~0UL / (HZ / USER_HZ))
 398                return ~0UL;
 399        return x * (HZ / USER_HZ);
 400#else
 401        u64 jif;
 402
 403        /* Don't worry about loss of precision here .. */
 404        if (x >= ~0UL / HZ * USER_HZ)
 405                return ~0UL;
 406
 407        /* .. but do try to contain it here */
 408        jif = x * (u64) HZ;
 409        do_div(jif, USER_HZ);
 410        return jif;
 411#endif
 412}
 413
 414static inline u64 jiffies_64_to_clock_t(u64 x)
 415{
 416#if (TICK_NSEC % (NSEC_PER_SEC / USER_HZ)) == 0
 417        do_div(x, HZ / USER_HZ);
 418#else
 419        /*
 420         * There are better ways that don't overflow early,
 421         * but even this doesn't overflow in hundreds of years
 422         * in 64 bits, so..
 423         */
 424        x *= TICK_NSEC;
 425        do_div(x, (NSEC_PER_SEC / USER_HZ));
 426#endif
 427        return x;
 428}
 429
 430static inline u64 nsec_to_clock_t(u64 x)
 431{
 432#if (NSEC_PER_SEC % USER_HZ) == 0
 433        do_div(x, (NSEC_PER_SEC / USER_HZ));
 434#elif (USER_HZ % 512) == 0
 435        x *= USER_HZ/512;
 436        do_div(x, (NSEC_PER_SEC / 512));
 437#else
 438        /*
 439         * max relative error 5.7e-8 (1.8s per year) for USER_HZ <= 1024,
 440         * overflow after 64.99 years.
 441         * exact for HZ=60, 72, 90, 120, 144, 180, 300, 600, 900, ...
 442         */
 443        x *= 9;
 444        do_div(x, (unsigned long)((9ull * NSEC_PER_SEC + (USER_HZ/2))
 445                                  / USER_HZ));
 446#endif
 447        return x;
 448}
 449
 450#endif
 451
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