linux/include/linux/jiffies.h
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   1#ifndef _LINUX_JIFFIES_H
   2#define _LINUX_JIFFIES_H
   3
   4#include <linux/calc64.h>
   5#include <linux/kernel.h>
   6#include <linux/types.h>
   7#include <linux/time.h>
   8#include <linux/timex.h>
   9#include <asm/param.h>                  /* for HZ */
  10
  11/*
  12 * The following defines establish the engineering parameters of the PLL
  13 * model. The HZ variable establishes the timer interrupt frequency, 100 Hz
  14 * for the SunOS kernel, 256 Hz for the Ultrix kernel and 1024 Hz for the
  15 * OSF/1 kernel. The SHIFT_HZ define expresses the same value as the
  16 * nearest power of two in order to avoid hardware multiply operations.
  17 */
  18#if HZ >= 12 && HZ < 24
  19# define SHIFT_HZ       4
  20#elif HZ >= 24 && HZ < 48
  21# define SHIFT_HZ       5
  22#elif HZ >= 48 && HZ < 96
  23# define SHIFT_HZ       6
  24#elif HZ >= 96 && HZ < 192
  25# define SHIFT_HZ       7
  26#elif HZ >= 192 && HZ < 384
  27# define SHIFT_HZ       8
  28#elif HZ >= 384 && HZ < 768
  29# define SHIFT_HZ       9
  30#elif HZ >= 768 && HZ < 1536
  31# define SHIFT_HZ       10
  32#else
  33# error You lose.
  34#endif
  35
  36/* LATCH is used in the interval timer and ftape setup. */
  37#define LATCH  ((CLOCK_TICK_RATE + HZ/2) / HZ)  /* For divider */
  38
  39#define LATCH_HPET ((HPET_TICK_RATE + HZ/2) / HZ)
  40
  41/* Suppose we want to devide two numbers NOM and DEN: NOM/DEN, the we can
  42 * improve accuracy by shifting LSH bits, hence calculating:
  43 *     (NOM << LSH) / DEN
  44 * This however means trouble for large NOM, because (NOM << LSH) may no
  45 * longer fit in 32 bits. The following way of calculating this gives us
  46 * some slack, under the following conditions:
  47 *   - (NOM / DEN) fits in (32 - LSH) bits.
  48 *   - (NOM % DEN) fits in (32 - LSH) bits.
  49 */
  50#define SH_DIV(NOM,DEN,LSH) (   (((NOM) / (DEN)) << (LSH))              \
  51                             + ((((NOM) % (DEN)) << (LSH)) + (DEN) / 2) / (DEN))
  52
  53/* HZ is the requested value. ACTHZ is actual HZ ("<< 8" is for accuracy) */
  54#define ACTHZ (SH_DIV (CLOCK_TICK_RATE, LATCH, 8))
  55
  56#define ACTHZ_HPET (SH_DIV (HPET_TICK_RATE, LATCH_HPET, 8))
  57
  58/* TICK_NSEC is the time between ticks in nsec assuming real ACTHZ */
  59#define TICK_NSEC (SH_DIV (1000000UL * 1000, ACTHZ, 8))
  60
  61#define TICK_NSEC_HPET (SH_DIV(1000000UL * 1000, ACTHZ_HPET, 8))
  62
  63/* TICK_USEC is the time between ticks in usec assuming fake USER_HZ */
  64#define TICK_USEC ((1000000UL + USER_HZ/2) / USER_HZ)
  65
  66/* TICK_USEC_TO_NSEC is the time between ticks in nsec assuming real ACTHZ and  */
  67/* a value TUSEC for TICK_USEC (can be set bij adjtimex)                */
  68#define TICK_USEC_TO_NSEC(TUSEC) (SH_DIV (TUSEC * USER_HZ * 1000, ACTHZ, 8))
  69
  70/* some arch's have a small-data section that can be accessed register-relative
  71 * but that can only take up to, say, 4-byte variables. jiffies being part of
  72 * an 8-byte variable may not be correctly accessed unless we force the issue
  73 */
  74#define __jiffy_data  __attribute__((section(".data")))
  75
  76/*
  77 * The 64-bit value is not volatile - you MUST NOT read it
  78 * without sampling the sequence number in xtime_lock.
  79 * get_jiffies_64() will do this for you as appropriate.
  80 */
  81extern u64 __jiffy_data jiffies_64;
  82extern unsigned long volatile __jiffy_data jiffies;
  83
  84#if (BITS_PER_LONG < 64)
  85u64 get_jiffies_64(void);
  86#else
  87static inline u64 get_jiffies_64(void)
  88{
  89        return (u64)jiffies;
  90}
  91#endif
  92
  93/*
  94 *      These inlines deal with timer wrapping correctly. You are 
  95 *      strongly encouraged to use them
  96 *      1. Because people otherwise forget
  97 *      2. Because if the timer wrap changes in future you won't have to
  98 *         alter your driver code.
  99 *
 100 * time_after(a,b) returns true if the time a is after time b.
 101 *
 102 * Do this with "<0" and ">=0" to only test the sign of the result. A
 103 * good compiler would generate better code (and a really good compiler
 104 * wouldn't care). Gcc is currently neither.
 105 */
 106#define time_after(a,b)         \
 107        (typecheck(unsigned long, a) && \
 108         typecheck(unsigned long, b) && \
 109         ((long)(b) - (long)(a) < 0))
 110#define time_before(a,b)        time_after(b,a)
 111
 112#define time_after_eq(a,b)      \
 113        (typecheck(unsigned long, a) && \
 114         typecheck(unsigned long, b) && \
 115         ((long)(a) - (long)(b) >= 0))
 116#define time_before_eq(a,b)     time_after_eq(b,a)
 117
 118/*
 119 * Have the 32 bit jiffies value wrap 5 minutes after boot
 120 * so jiffies wrap bugs show up earlier.
 121 */
 122#define INITIAL_JIFFIES ((unsigned long)(unsigned int) (-300*HZ))
 123
 124/*
 125 * Change timeval to jiffies, trying to avoid the
 126 * most obvious overflows..
 127 *
 128 * And some not so obvious.
 129 *
 130 * Note that we don't want to return MAX_LONG, because
 131 * for various timeout reasons we often end up having
 132 * to wait "jiffies+1" in order to guarantee that we wait
 133 * at _least_ "jiffies" - so "jiffies+1" had better still
 134 * be positive.
 135 */
 136#define MAX_JIFFY_OFFSET ((~0UL >> 1)-1)
 137
 138/*
 139 * We want to do realistic conversions of time so we need to use the same
 140 * values the update wall clock code uses as the jiffies size.  This value
 141 * is: TICK_NSEC (which is defined in timex.h).  This
 142 * is a constant and is in nanoseconds.  We will used scaled math
 143 * with a set of scales defined here as SEC_JIFFIE_SC,  USEC_JIFFIE_SC and
 144 * NSEC_JIFFIE_SC.  Note that these defines contain nothing but
 145 * constants and so are computed at compile time.  SHIFT_HZ (computed in
 146 * timex.h) adjusts the scaling for different HZ values.
 147
 148 * Scaled math???  What is that?
 149 *
 150 * Scaled math is a way to do integer math on values that would,
 151 * otherwise, either overflow, underflow, or cause undesired div
 152 * instructions to appear in the execution path.  In short, we "scale"
 153 * up the operands so they take more bits (more precision, less
 154 * underflow), do the desired operation and then "scale" the result back
 155 * by the same amount.  If we do the scaling by shifting we avoid the
 156 * costly mpy and the dastardly div instructions.
 157
 158 * Suppose, for example, we want to convert from seconds to jiffies
 159 * where jiffies is defined in nanoseconds as NSEC_PER_JIFFIE.  The
 160 * simple math is: jiff = (sec * NSEC_PER_SEC) / NSEC_PER_JIFFIE; We
 161 * observe that (NSEC_PER_SEC / NSEC_PER_JIFFIE) is a constant which we
 162 * might calculate at compile time, however, the result will only have
 163 * about 3-4 bits of precision (less for smaller values of HZ).
 164 *
 165 * So, we scale as follows:
 166 * jiff = (sec) * (NSEC_PER_SEC / NSEC_PER_JIFFIE);
 167 * jiff = ((sec) * ((NSEC_PER_SEC * SCALE)/ NSEC_PER_JIFFIE)) / SCALE;
 168 * Then we make SCALE a power of two so:
 169 * jiff = ((sec) * ((NSEC_PER_SEC << SCALE)/ NSEC_PER_JIFFIE)) >> SCALE;
 170 * Now we define:
 171 * #define SEC_CONV = ((NSEC_PER_SEC << SCALE)/ NSEC_PER_JIFFIE))
 172 * jiff = (sec * SEC_CONV) >> SCALE;
 173 *
 174 * Often the math we use will expand beyond 32-bits so we tell C how to
 175 * do this and pass the 64-bit result of the mpy through the ">> SCALE"
 176 * which should take the result back to 32-bits.  We want this expansion
 177 * to capture as much precision as possible.  At the same time we don't
 178 * want to overflow so we pick the SCALE to avoid this.  In this file,
 179 * that means using a different scale for each range of HZ values (as
 180 * defined in timex.h).
 181 *
 182 * For those who want to know, gcc will give a 64-bit result from a "*"
 183 * operator if the result is a long long AND at least one of the
 184 * operands is cast to long long (usually just prior to the "*" so as
 185 * not to confuse it into thinking it really has a 64-bit operand,
 186 * which, buy the way, it can do, but it take more code and at least 2
 187 * mpys).
 188
 189 * We also need to be aware that one second in nanoseconds is only a
 190 * couple of bits away from overflowing a 32-bit word, so we MUST use
 191 * 64-bits to get the full range time in nanoseconds.
 192
 193 */
 194
 195/*
 196 * Here are the scales we will use.  One for seconds, nanoseconds and
 197 * microseconds.
 198 *
 199 * Within the limits of cpp we do a rough cut at the SEC_JIFFIE_SC and
 200 * check if the sign bit is set.  If not, we bump the shift count by 1.
 201 * (Gets an extra bit of precision where we can use it.)
 202 * We know it is set for HZ = 1024 and HZ = 100 not for 1000.
 203 * Haven't tested others.
 204
 205 * Limits of cpp (for #if expressions) only long (no long long), but
 206 * then we only need the most signicant bit.
 207 */
 208
 209#define SEC_JIFFIE_SC (31 - SHIFT_HZ)
 210#if !((((NSEC_PER_SEC << 2) / TICK_NSEC) << (SEC_JIFFIE_SC - 2)) & 0x80000000)
 211#undef SEC_JIFFIE_SC
 212#define SEC_JIFFIE_SC (32 - SHIFT_HZ)
 213#endif
 214#define NSEC_JIFFIE_SC (SEC_JIFFIE_SC + 29)
 215#define USEC_JIFFIE_SC (SEC_JIFFIE_SC + 19)
 216#define SEC_CONVERSION ((unsigned long)((((u64)NSEC_PER_SEC << SEC_JIFFIE_SC) +\
 217                                TICK_NSEC -1) / (u64)TICK_NSEC))
 218
 219#define NSEC_CONVERSION ((unsigned long)((((u64)1 << NSEC_JIFFIE_SC) +\
 220                                        TICK_NSEC -1) / (u64)TICK_NSEC))
 221#define USEC_CONVERSION  \
 222                    ((unsigned long)((((u64)NSEC_PER_USEC << USEC_JIFFIE_SC) +\
 223                                        TICK_NSEC -1) / (u64)TICK_NSEC))
 224/*
 225 * USEC_ROUND is used in the timeval to jiffie conversion.  See there
 226 * for more details.  It is the scaled resolution rounding value.  Note
 227 * that it is a 64-bit value.  Since, when it is applied, we are already
 228 * in jiffies (albit scaled), it is nothing but the bits we will shift
 229 * off.
 230 */
 231#define USEC_ROUND (u64)(((u64)1 << USEC_JIFFIE_SC) - 1)
 232/*
 233 * The maximum jiffie value is (MAX_INT >> 1).  Here we translate that
 234 * into seconds.  The 64-bit case will overflow if we are not careful,
 235 * so use the messy SH_DIV macro to do it.  Still all constants.
 236 */
 237#if BITS_PER_LONG < 64
 238# define MAX_SEC_IN_JIFFIES \
 239        (long)((u64)((u64)MAX_JIFFY_OFFSET * TICK_NSEC) / NSEC_PER_SEC)
 240#else   /* take care of overflow on 64 bits machines */
 241# define MAX_SEC_IN_JIFFIES \
 242        (SH_DIV((MAX_JIFFY_OFFSET >> SEC_JIFFIE_SC) * TICK_NSEC, NSEC_PER_SEC, 1) - 1)
 243
 244#endif
 245
 246/*
 247 * Convert jiffies to milliseconds and back.
 248 *
 249 * Avoid unnecessary multiplications/divisions in the
 250 * two most common HZ cases:
 251 */
 252static inline unsigned int jiffies_to_msecs(const unsigned long j)
 253{
 254#if HZ <= MSEC_PER_SEC && !(MSEC_PER_SEC % HZ)
 255        return (MSEC_PER_SEC / HZ) * j;
 256#elif HZ > MSEC_PER_SEC && !(HZ % MSEC_PER_SEC)
 257        return (j + (HZ / MSEC_PER_SEC) - 1)/(HZ / MSEC_PER_SEC);
 258#else
 259        return (j * MSEC_PER_SEC) / HZ;
 260#endif
 261}
 262
 263static inline unsigned int jiffies_to_usecs(const unsigned long j)
 264{
 265#if HZ <= USEC_PER_SEC && !(USEC_PER_SEC % HZ)
 266        return (USEC_PER_SEC / HZ) * j;
 267#elif HZ > USEC_PER_SEC && !(HZ % USEC_PER_SEC)
 268        return (j + (HZ / USEC_PER_SEC) - 1)/(HZ / USEC_PER_SEC);
 269#else
 270        return (j * USEC_PER_SEC) / HZ;
 271#endif
 272}
 273
 274static inline unsigned long msecs_to_jiffies(const unsigned int m)
 275{
 276        if (m > jiffies_to_msecs(MAX_JIFFY_OFFSET))
 277                return MAX_JIFFY_OFFSET;
 278#if HZ <= MSEC_PER_SEC && !(MSEC_PER_SEC % HZ)
 279        return (m + (MSEC_PER_SEC / HZ) - 1) / (MSEC_PER_SEC / HZ);
 280#elif HZ > MSEC_PER_SEC && !(HZ % MSEC_PER_SEC)
 281        return m * (HZ / MSEC_PER_SEC);
 282#else
 283        return (m * HZ + MSEC_PER_SEC - 1) / MSEC_PER_SEC;
 284#endif
 285}
 286
 287static inline unsigned long usecs_to_jiffies(const unsigned int u)
 288{
 289        if (u > jiffies_to_usecs(MAX_JIFFY_OFFSET))
 290                return MAX_JIFFY_OFFSET;
 291#if HZ <= USEC_PER_SEC && !(USEC_PER_SEC % HZ)
 292        return (u + (USEC_PER_SEC / HZ) - 1) / (USEC_PER_SEC / HZ);
 293#elif HZ > USEC_PER_SEC && !(HZ % USEC_PER_SEC)
 294        return u * (HZ / USEC_PER_SEC);
 295#else
 296        return (u * HZ + USEC_PER_SEC - 1) / USEC_PER_SEC;
 297#endif
 298}
 299
 300/*
 301 * The TICK_NSEC - 1 rounds up the value to the next resolution.  Note
 302 * that a remainder subtract here would not do the right thing as the
 303 * resolution values don't fall on second boundries.  I.e. the line:
 304 * nsec -= nsec % TICK_NSEC; is NOT a correct resolution rounding.
 305 *
 306 * Rather, we just shift the bits off the right.
 307 *
 308 * The >> (NSEC_JIFFIE_SC - SEC_JIFFIE_SC) converts the scaled nsec
 309 * value to a scaled second value.
 310 */
 311static __inline__ unsigned long
 312timespec_to_jiffies(const struct timespec *value)
 313{
 314        unsigned long sec = value->tv_sec;
 315        long nsec = value->tv_nsec + TICK_NSEC - 1;
 316
 317        if (sec >= MAX_SEC_IN_JIFFIES){
 318                sec = MAX_SEC_IN_JIFFIES;
 319                nsec = 0;
 320        }
 321        return (((u64)sec * SEC_CONVERSION) +
 322                (((u64)nsec * NSEC_CONVERSION) >>
 323                 (NSEC_JIFFIE_SC - SEC_JIFFIE_SC))) >> SEC_JIFFIE_SC;
 324
 325}
 326
 327static __inline__ void
 328jiffies_to_timespec(const unsigned long jiffies, struct timespec *value)
 329{
 330        /*
 331         * Convert jiffies to nanoseconds and separate with
 332         * one divide.
 333         */
 334        u64 nsec = (u64)jiffies * TICK_NSEC;
 335        value->tv_sec = div_long_long_rem(nsec, NSEC_PER_SEC, &value->tv_nsec);
 336}
 337
 338/* Same for "timeval"
 339 *
 340 * Well, almost.  The problem here is that the real system resolution is
 341 * in nanoseconds and the value being converted is in micro seconds.
 342 * Also for some machines (those that use HZ = 1024, in-particular),
 343 * there is a LARGE error in the tick size in microseconds.
 344
 345 * The solution we use is to do the rounding AFTER we convert the
 346 * microsecond part.  Thus the USEC_ROUND, the bits to be shifted off.
 347 * Instruction wise, this should cost only an additional add with carry
 348 * instruction above the way it was done above.
 349 */
 350static __inline__ unsigned long
 351timeval_to_jiffies(const struct timeval *value)
 352{
 353        unsigned long sec = value->tv_sec;
 354        long usec = value->tv_usec;
 355
 356        if (sec >= MAX_SEC_IN_JIFFIES){
 357                sec = MAX_SEC_IN_JIFFIES;
 358                usec = 0;
 359        }
 360        return (((u64)sec * SEC_CONVERSION) +
 361                (((u64)usec * USEC_CONVERSION + USEC_ROUND) >>
 362                 (USEC_JIFFIE_SC - SEC_JIFFIE_SC))) >> SEC_JIFFIE_SC;
 363}
 364
 365static __inline__ void
 366jiffies_to_timeval(const unsigned long jiffies, struct timeval *value)
 367{
 368        /*
 369         * Convert jiffies to nanoseconds and separate with
 370         * one divide.
 371         */
 372        u64 nsec = (u64)jiffies * TICK_NSEC;
 373        long tv_usec;
 374
 375        value->tv_sec = div_long_long_rem(nsec, NSEC_PER_SEC, &tv_usec);
 376        tv_usec /= NSEC_PER_USEC;
 377        value->tv_usec = tv_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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