Python-2.7.3/Modules/datetimemodule.c

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   1 /*  C implementation for the date/time type documented at
   2  *  http://www.zope.org/Members/fdrake/DateTimeWiki/FrontPage
   3  */
   4 
   5 #define PY_SSIZE_T_CLEAN
   6 
   7 #include "Python.h"
   8 #include "modsupport.h"
   9 #include "structmember.h"
  10 
  11 #include <time.h>
  12 
  13 #include "timefuncs.h"
  14 
  15 /* Differentiate between building the core module and building extension
  16  * modules.
  17  */
  18 #ifndef Py_BUILD_CORE
  19 #define Py_BUILD_CORE
  20 #endif
  21 #include "datetime.h"
  22 #undef Py_BUILD_CORE
  23 
  24 /* We require that C int be at least 32 bits, and use int virtually
  25  * everywhere.  In just a few cases we use a temp long, where a Python
  26  * API returns a C long.  In such cases, we have to ensure that the
  27  * final result fits in a C int (this can be an issue on 64-bit boxes).
  28  */
  29 #if SIZEOF_INT < 4
  30 #       error "datetime.c requires that C int have at least 32 bits"
  31 #endif
  32 
  33 #define MINYEAR 1
  34 #define MAXYEAR 9999
  35 #define MAXORDINAL 3652059 /* date(9999,12,31).toordinal() */
  36 
  37 /* Nine decimal digits is easy to communicate, and leaves enough room
  38  * so that two delta days can be added w/o fear of overflowing a signed
  39  * 32-bit int, and with plenty of room left over to absorb any possible
  40  * carries from adding seconds.
  41  */
  42 #define MAX_DELTA_DAYS 999999999
  43 
  44 /* Rename the long macros in datetime.h to more reasonable short names. */
  45 #define GET_YEAR                PyDateTime_GET_YEAR
  46 #define GET_MONTH               PyDateTime_GET_MONTH
  47 #define GET_DAY                 PyDateTime_GET_DAY
  48 #define DATE_GET_HOUR           PyDateTime_DATE_GET_HOUR
  49 #define DATE_GET_MINUTE         PyDateTime_DATE_GET_MINUTE
  50 #define DATE_GET_SECOND         PyDateTime_DATE_GET_SECOND
  51 #define DATE_GET_MICROSECOND    PyDateTime_DATE_GET_MICROSECOND
  52 
  53 /* Date accessors for date and datetime. */
  54 #define SET_YEAR(o, v)          (((o)->data[0] = ((v) & 0xff00) >> 8), \
  55                  ((o)->data[1] = ((v) & 0x00ff)))
  56 #define SET_MONTH(o, v)         (PyDateTime_GET_MONTH(o) = (v))
  57 #define SET_DAY(o, v)           (PyDateTime_GET_DAY(o) = (v))
  58 
  59 /* Date/Time accessors for datetime. */
  60 #define DATE_SET_HOUR(o, v)     (PyDateTime_DATE_GET_HOUR(o) = (v))
  61 #define DATE_SET_MINUTE(o, v)   (PyDateTime_DATE_GET_MINUTE(o) = (v))
  62 #define DATE_SET_SECOND(o, v)   (PyDateTime_DATE_GET_SECOND(o) = (v))
  63 #define DATE_SET_MICROSECOND(o, v)      \
  64     (((o)->data[7] = ((v) & 0xff0000) >> 16), \
  65      ((o)->data[8] = ((v) & 0x00ff00) >> 8), \
  66      ((o)->data[9] = ((v) & 0x0000ff)))
  67 
  68 /* Time accessors for time. */
  69 #define TIME_GET_HOUR           PyDateTime_TIME_GET_HOUR
  70 #define TIME_GET_MINUTE         PyDateTime_TIME_GET_MINUTE
  71 #define TIME_GET_SECOND         PyDateTime_TIME_GET_SECOND
  72 #define TIME_GET_MICROSECOND    PyDateTime_TIME_GET_MICROSECOND
  73 #define TIME_SET_HOUR(o, v)     (PyDateTime_TIME_GET_HOUR(o) = (v))
  74 #define TIME_SET_MINUTE(o, v)   (PyDateTime_TIME_GET_MINUTE(o) = (v))
  75 #define TIME_SET_SECOND(o, v)   (PyDateTime_TIME_GET_SECOND(o) = (v))
  76 #define TIME_SET_MICROSECOND(o, v)      \
  77     (((o)->data[3] = ((v) & 0xff0000) >> 16), \
  78      ((o)->data[4] = ((v) & 0x00ff00) >> 8), \
  79      ((o)->data[5] = ((v) & 0x0000ff)))
  80 
  81 /* Delta accessors for timedelta. */
  82 #define GET_TD_DAYS(o)          (((PyDateTime_Delta *)(o))->days)
  83 #define GET_TD_SECONDS(o)       (((PyDateTime_Delta *)(o))->seconds)
  84 #define GET_TD_MICROSECONDS(o)  (((PyDateTime_Delta *)(o))->microseconds)
  85 
  86 #define SET_TD_DAYS(o, v)       ((o)->days = (v))
  87 #define SET_TD_SECONDS(o, v)    ((o)->seconds = (v))
  88 #define SET_TD_MICROSECONDS(o, v) ((o)->microseconds = (v))
  89 
  90 /* p is a pointer to a time or a datetime object; HASTZINFO(p) returns
  91  * p->hastzinfo.
  92  */
  93 #define HASTZINFO(p)            (((_PyDateTime_BaseTZInfo *)(p))->hastzinfo)
  94 
  95 /* M is a char or int claiming to be a valid month.  The macro is equivalent
  96  * to the two-sided Python test
  97  *      1 <= M <= 12
  98  */
  99 #define MONTH_IS_SANE(M) ((unsigned int)(M) - 1 < 12)
 100 
 101 /* Forward declarations. */
 102 static PyTypeObject PyDateTime_DateType;
 103 static PyTypeObject PyDateTime_DateTimeType;
 104 static PyTypeObject PyDateTime_DeltaType;
 105 static PyTypeObject PyDateTime_TimeType;
 106 static PyTypeObject PyDateTime_TZInfoType;
 107 
 108 /* ---------------------------------------------------------------------------
 109  * Math utilities.
 110  */
 111 
 112 /* k = i+j overflows iff k differs in sign from both inputs,
 113  * iff k^i has sign bit set and k^j has sign bit set,
 114  * iff (k^i)&(k^j) has sign bit set.
 115  */
 116 #define SIGNED_ADD_OVERFLOWED(RESULT, I, J) \
 117     ((((RESULT) ^ (I)) & ((RESULT) ^ (J))) < 0)
 118 
 119 /* Compute Python divmod(x, y), returning the quotient and storing the
 120  * remainder into *r.  The quotient is the floor of x/y, and that's
 121  * the real point of this.  C will probably truncate instead (C99
 122  * requires truncation; C89 left it implementation-defined).
 123  * Simplification:  we *require* that y > 0 here.  That's appropriate
 124  * for all the uses made of it.  This simplifies the code and makes
 125  * the overflow case impossible (divmod(LONG_MIN, -1) is the only
 126  * overflow case).
 127  */
 128 static int
 129 divmod(int x, int y, int *r)
 130 {
 131     int quo;
 132 
 133     assert(y > 0);
 134     quo = x / y;
 135     *r = x - quo * y;
 136     if (*r < 0) {
 137         --quo;
 138         *r += y;
 139     }
 140     assert(0 <= *r && *r < y);
 141     return quo;
 142 }
 143 
 144 /* Round a double to the nearest long.  |x| must be small enough to fit
 145  * in a C long; this is not checked.
 146  */
 147 static long
 148 round_to_long(double x)
 149 {
 150     if (x >= 0.0)
 151         x = floor(x + 0.5);
 152     else
 153         x = ceil(x - 0.5);
 154     return (long)x;
 155 }
 156 
 157 /* ---------------------------------------------------------------------------
 158  * General calendrical helper functions
 159  */
 160 
 161 /* For each month ordinal in 1..12, the number of days in that month,
 162  * and the number of days before that month in the same year.  These
 163  * are correct for non-leap years only.
 164  */
 165 static int _days_in_month[] = {
 166     0, /* unused; this vector uses 1-based indexing */
 167     31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31
 168 };
 169 
 170 static int _days_before_month[] = {
 171     0, /* unused; this vector uses 1-based indexing */
 172     0, 31, 59, 90, 120, 151, 181, 212, 243, 273, 304, 334
 173 };
 174 
 175 /* year -> 1 if leap year, else 0. */
 176 static int
 177 is_leap(int year)
 178 {
 179     /* Cast year to unsigned.  The result is the same either way, but
 180      * C can generate faster code for unsigned mod than for signed
 181      * mod (especially for % 4 -- a good compiler should just grab
 182      * the last 2 bits when the LHS is unsigned).
 183      */
 184     const unsigned int ayear = (unsigned int)year;
 185     return ayear % 4 == 0 && (ayear % 100 != 0 || ayear % 400 == 0);
 186 }
 187 
 188 /* year, month -> number of days in that month in that year */
 189 static int
 190 days_in_month(int year, int month)
 191 {
 192     assert(month >= 1);
 193     assert(month <= 12);
 194     if (month == 2 && is_leap(year))
 195         return 29;
 196     else
 197         return _days_in_month[month];
 198 }
 199 
 200 /* year, month -> number of days in year preceeding first day of month */
 201 static int
 202 days_before_month(int year, int month)
 203 {
 204     int days;
 205 
 206     assert(month >= 1);
 207     assert(month <= 12);
 208     days = _days_before_month[month];
 209     if (month > 2 && is_leap(year))
 210         ++days;
 211     return days;
 212 }
 213 
 214 /* year -> number of days before January 1st of year.  Remember that we
 215  * start with year 1, so days_before_year(1) == 0.
 216  */
 217 static int
 218 days_before_year(int year)
 219 {
 220     int y = year - 1;
 221     /* This is incorrect if year <= 0; we really want the floor
 222      * here.  But so long as MINYEAR is 1, the smallest year this
 223      * can see is 0 (this can happen in some normalization endcases),
 224      * so we'll just special-case that.
 225      */
 226     assert (year >= 0);
 227     if (y >= 0)
 228         return y*365 + y/4 - y/100 + y/400;
 229     else {
 230         assert(y == -1);
 231         return -366;
 232     }
 233 }
 234 
 235 /* Number of days in 4, 100, and 400 year cycles.  That these have
 236  * the correct values is asserted in the module init function.
 237  */
 238 #define DI4Y    1461    /* days_before_year(5); days in 4 years */
 239 #define DI100Y  36524   /* days_before_year(101); days in 100 years */
 240 #define DI400Y  146097  /* days_before_year(401); days in 400 years  */
 241 
 242 /* ordinal -> year, month, day, considering 01-Jan-0001 as day 1. */
 243 static void
 244 ord_to_ymd(int ordinal, int *year, int *month, int *day)
 245 {
 246     int n, n1, n4, n100, n400, leapyear, preceding;
 247 
 248     /* ordinal is a 1-based index, starting at 1-Jan-1.  The pattern of
 249      * leap years repeats exactly every 400 years.  The basic strategy is
 250      * to find the closest 400-year boundary at or before ordinal, then
 251      * work with the offset from that boundary to ordinal.  Life is much
 252      * clearer if we subtract 1 from ordinal first -- then the values
 253      * of ordinal at 400-year boundaries are exactly those divisible
 254      * by DI400Y:
 255      *
 256      *    D  M   Y            n              n-1
 257      *    -- --- ----        ----------     ----------------
 258      *    31 Dec -400        -DI400Y       -DI400Y -1
 259      *     1 Jan -399         -DI400Y +1   -DI400Y      400-year boundary
 260      *    ...
 261      *    30 Dec  000        -1             -2
 262      *    31 Dec  000         0             -1
 263      *     1 Jan  001         1              0          400-year boundary
 264      *     2 Jan  001         2              1
 265      *     3 Jan  001         3              2
 266      *    ...
 267      *    31 Dec  400         DI400Y        DI400Y -1
 268      *     1 Jan  401         DI400Y +1     DI400Y      400-year boundary
 269      */
 270     assert(ordinal >= 1);
 271     --ordinal;
 272     n400 = ordinal / DI400Y;
 273     n = ordinal % DI400Y;
 274     *year = n400 * 400 + 1;
 275 
 276     /* Now n is the (non-negative) offset, in days, from January 1 of
 277      * year, to the desired date.  Now compute how many 100-year cycles
 278      * precede n.
 279      * Note that it's possible for n100 to equal 4!  In that case 4 full
 280      * 100-year cycles precede the desired day, which implies the
 281      * desired day is December 31 at the end of a 400-year cycle.
 282      */
 283     n100 = n / DI100Y;
 284     n = n % DI100Y;
 285 
 286     /* Now compute how many 4-year cycles precede it. */
 287     n4 = n / DI4Y;
 288     n = n % DI4Y;
 289 
 290     /* And now how many single years.  Again n1 can be 4, and again
 291      * meaning that the desired day is December 31 at the end of the
 292      * 4-year cycle.
 293      */
 294     n1 = n / 365;
 295     n = n % 365;
 296 
 297     *year += n100 * 100 + n4 * 4 + n1;
 298     if (n1 == 4 || n100 == 4) {
 299         assert(n == 0);
 300         *year -= 1;
 301         *month = 12;
 302         *day = 31;
 303         return;
 304     }
 305 
 306     /* Now the year is correct, and n is the offset from January 1.  We
 307      * find the month via an estimate that's either exact or one too
 308      * large.
 309      */
 310     leapyear = n1 == 3 && (n4 != 24 || n100 == 3);
 311     assert(leapyear == is_leap(*year));
 312     *month = (n + 50) >> 5;
 313     preceding = (_days_before_month[*month] + (*month > 2 && leapyear));
 314     if (preceding > n) {
 315         /* estimate is too large */
 316         *month -= 1;
 317         preceding -= days_in_month(*year, *month);
 318     }
 319     n -= preceding;
 320     assert(0 <= n);
 321     assert(n < days_in_month(*year, *month));
 322 
 323     *day = n + 1;
 324 }
 325 
 326 /* year, month, day -> ordinal, considering 01-Jan-0001 as day 1. */
 327 static int
 328 ymd_to_ord(int year, int month, int day)
 329 {
 330     return days_before_year(year) + days_before_month(year, month) + day;
 331 }
 332 
 333 /* Day of week, where Monday==0, ..., Sunday==6.  1/1/1 was a Monday. */
 334 static int
 335 weekday(int year, int month, int day)
 336 {
 337     return (ymd_to_ord(year, month, day) + 6) % 7;
 338 }
 339 
 340 /* Ordinal of the Monday starting week 1 of the ISO year.  Week 1 is the
 341  * first calendar week containing a Thursday.
 342  */
 343 static int
 344 iso_week1_monday(int year)
 345 {
 346     int first_day = ymd_to_ord(year, 1, 1);     /* ord of 1/1 */
 347     /* 0 if 1/1 is a Monday, 1 if a Tue, etc. */
 348     int first_weekday = (first_day + 6) % 7;
 349     /* ordinal of closest Monday at or before 1/1 */
 350     int week1_monday  = first_day - first_weekday;
 351 
 352     if (first_weekday > 3)      /* if 1/1 was Fri, Sat, Sun */
 353         week1_monday += 7;
 354     return week1_monday;
 355 }
 356 
 357 /* ---------------------------------------------------------------------------
 358  * Range checkers.
 359  */
 360 
 361 /* Check that -MAX_DELTA_DAYS <= days <= MAX_DELTA_DAYS.  If so, return 0.
 362  * If not, raise OverflowError and return -1.
 363  */
 364 static int
 365 check_delta_day_range(int days)
 366 {
 367     if (-MAX_DELTA_DAYS <= days && days <= MAX_DELTA_DAYS)
 368         return 0;
 369     PyErr_Format(PyExc_OverflowError,
 370                  "days=%d; must have magnitude <= %d",
 371                  days, MAX_DELTA_DAYS);
 372     return -1;
 373 }
 374 
 375 /* Check that date arguments are in range.  Return 0 if they are.  If they
 376  * aren't, raise ValueError and return -1.
 377  */
 378 static int
 379 check_date_args(int year, int month, int day)
 380 {
 381 
 382     if (year < MINYEAR || year > MAXYEAR) {
 383         PyErr_SetString(PyExc_ValueError,
 384                         "year is out of range");
 385         return -1;
 386     }
 387     if (month < 1 || month > 12) {
 388         PyErr_SetString(PyExc_ValueError,
 389                         "month must be in 1..12");
 390         return -1;
 391     }
 392     if (day < 1 || day > days_in_month(year, month)) {
 393         PyErr_SetString(PyExc_ValueError,
 394                         "day is out of range for month");
 395         return -1;
 396     }
 397     return 0;
 398 }
 399 
 400 /* Check that time arguments are in range.  Return 0 if they are.  If they
 401  * aren't, raise ValueError and return -1.
 402  */
 403 static int
 404 check_time_args(int h, int m, int s, int us)
 405 {
 406     if (h < 0 || h > 23) {
 407         PyErr_SetString(PyExc_ValueError,
 408                         "hour must be in 0..23");
 409         return -1;
 410     }
 411     if (m < 0 || m > 59) {
 412         PyErr_SetString(PyExc_ValueError,
 413                         "minute must be in 0..59");
 414         return -1;
 415     }
 416     if (s < 0 || s > 59) {
 417         PyErr_SetString(PyExc_ValueError,
 418                         "second must be in 0..59");
 419         return -1;
 420     }
 421     if (us < 0 || us > 999999) {
 422         PyErr_SetString(PyExc_ValueError,
 423                         "microsecond must be in 0..999999");
 424         return -1;
 425     }
 426     return 0;
 427 }
 428 
 429 /* ---------------------------------------------------------------------------
 430  * Normalization utilities.
 431  */
 432 
 433 /* One step of a mixed-radix conversion.  A "hi" unit is equivalent to
 434  * factor "lo" units.  factor must be > 0.  If *lo is less than 0, or
 435  * at least factor, enough of *lo is converted into "hi" units so that
 436  * 0 <= *lo < factor.  The input values must be such that int overflow
 437  * is impossible.
 438  */
 439 static void
 440 normalize_pair(int *hi, int *lo, int factor)
 441 {
 442     assert(factor > 0);
 443     assert(lo != hi);
 444     if (*lo < 0 || *lo >= factor) {
 445         const int num_hi = divmod(*lo, factor, lo);
 446         const int new_hi = *hi + num_hi;
 447         assert(! SIGNED_ADD_OVERFLOWED(new_hi, *hi, num_hi));
 448         *hi = new_hi;
 449     }
 450     assert(0 <= *lo && *lo < factor);
 451 }
 452 
 453 /* Fiddle days (d), seconds (s), and microseconds (us) so that
 454  *      0 <= *s < 24*3600
 455  *      0 <= *us < 1000000
 456  * The input values must be such that the internals don't overflow.
 457  * The way this routine is used, we don't get close.
 458  */
 459 static void
 460 normalize_d_s_us(int *d, int *s, int *us)
 461 {
 462     if (*us < 0 || *us >= 1000000) {
 463         normalize_pair(s, us, 1000000);
 464         /* |s| can't be bigger than about
 465          * |original s| + |original us|/1000000 now.
 466          */
 467 
 468     }
 469     if (*s < 0 || *s >= 24*3600) {
 470         normalize_pair(d, s, 24*3600);
 471         /* |d| can't be bigger than about
 472          * |original d| +
 473          * (|original s| + |original us|/1000000) / (24*3600) now.
 474          */
 475     }
 476     assert(0 <= *s && *s < 24*3600);
 477     assert(0 <= *us && *us < 1000000);
 478 }
 479 
 480 /* Fiddle years (y), months (m), and days (d) so that
 481  *      1 <= *m <= 12
 482  *      1 <= *d <= days_in_month(*y, *m)
 483  * The input values must be such that the internals don't overflow.
 484  * The way this routine is used, we don't get close.
 485  */
 486 static int
 487 normalize_y_m_d(int *y, int *m, int *d)
 488 {
 489     int dim;            /* # of days in month */
 490 
 491     /* This gets muddy:  the proper range for day can't be determined
 492      * without knowing the correct month and year, but if day is, e.g.,
 493      * plus or minus a million, the current month and year values make
 494      * no sense (and may also be out of bounds themselves).
 495      * Saying 12 months == 1 year should be non-controversial.
 496      */
 497     if (*m < 1 || *m > 12) {
 498         --*m;
 499         normalize_pair(y, m, 12);
 500         ++*m;
 501         /* |y| can't be bigger than about
 502          * |original y| + |original m|/12 now.
 503          */
 504     }
 505     assert(1 <= *m && *m <= 12);
 506 
 507     /* Now only day can be out of bounds (year may also be out of bounds
 508      * for a datetime object, but we don't care about that here).
 509      * If day is out of bounds, what to do is arguable, but at least the
 510      * method here is principled and explainable.
 511      */
 512     dim = days_in_month(*y, *m);
 513     if (*d < 1 || *d > dim) {
 514         /* Move day-1 days from the first of the month.  First try to
 515          * get off cheap if we're only one day out of range
 516          * (adjustments for timezone alone can't be worse than that).
 517          */
 518         if (*d == 0) {
 519             --*m;
 520             if (*m > 0)
 521                 *d = days_in_month(*y, *m);
 522             else {
 523                 --*y;
 524                 *m = 12;
 525                 *d = 31;
 526             }
 527         }
 528         else if (*d == dim + 1) {
 529             /* move forward a day */
 530             ++*m;
 531             *d = 1;
 532             if (*m > 12) {
 533                 *m = 1;
 534                 ++*y;
 535             }
 536         }
 537         else {
 538             int ordinal = ymd_to_ord(*y, *m, 1) +
 539                                       *d - 1;
 540             if (ordinal < 1 || ordinal > MAXORDINAL) {
 541                 goto error;
 542             } else {
 543                 ord_to_ymd(ordinal, y, m, d);
 544                 return 0;
 545             }
 546         }
 547     }
 548     assert(*m > 0);
 549     assert(*d > 0);
 550     if (MINYEAR <= *y && *y <= MAXYEAR)
 551         return 0;
 552  error:
 553     PyErr_SetString(PyExc_OverflowError,
 554             "date value out of range");
 555     return -1;
 556 
 557 }
 558 
 559 /* Fiddle out-of-bounds months and days so that the result makes some kind
 560  * of sense.  The parameters are both inputs and outputs.  Returns < 0 on
 561  * failure, where failure means the adjusted year is out of bounds.
 562  */
 563 static int
 564 normalize_date(int *year, int *month, int *day)
 565 {
 566     return normalize_y_m_d(year, month, day);
 567 }
 568 
 569 /* Force all the datetime fields into range.  The parameters are both
 570  * inputs and outputs.  Returns < 0 on error.
 571  */
 572 static int
 573 normalize_datetime(int *year, int *month, int *day,
 574                    int *hour, int *minute, int *second,
 575                    int *microsecond)
 576 {
 577     normalize_pair(second, microsecond, 1000000);
 578     normalize_pair(minute, second, 60);
 579     normalize_pair(hour, minute, 60);
 580     normalize_pair(day, hour, 24);
 581     return normalize_date(year, month, day);
 582 }
 583 
 584 /* ---------------------------------------------------------------------------
 585  * Basic object allocation:  tp_alloc implementations.  These allocate
 586  * Python objects of the right size and type, and do the Python object-
 587  * initialization bit.  If there's not enough memory, they return NULL after
 588  * setting MemoryError.  All data members remain uninitialized trash.
 589  *
 590  * We abuse the tp_alloc "nitems" argument to communicate whether a tzinfo
 591  * member is needed.  This is ugly, imprecise, and possibly insecure.
 592  * tp_basicsize for the time and datetime types is set to the size of the
 593  * struct that has room for the tzinfo member, so subclasses in Python will
 594  * allocate enough space for a tzinfo member whether or not one is actually
 595  * needed.  That's the "ugly and imprecise" parts.  The "possibly insecure"
 596  * part is that PyType_GenericAlloc() (which subclasses in Python end up
 597  * using) just happens today to effectively ignore the nitems argument
 598  * when tp_itemsize is 0, which it is for these type objects.  If that
 599  * changes, perhaps the callers of tp_alloc slots in this file should
 600  * be changed to force a 0 nitems argument unless the type being allocated
 601  * is a base type implemented in this file (so that tp_alloc is time_alloc
 602  * or datetime_alloc below, which know about the nitems abuse).
 603  */
 604 
 605 static PyObject *
 606 time_alloc(PyTypeObject *type, Py_ssize_t aware)
 607 {
 608     PyObject *self;
 609 
 610     self = (PyObject *)
 611         PyObject_MALLOC(aware ?
 612                         sizeof(PyDateTime_Time) :
 613                 sizeof(_PyDateTime_BaseTime));
 614     if (self == NULL)
 615         return (PyObject *)PyErr_NoMemory();
 616     PyObject_INIT(self, type);
 617     return self;
 618 }
 619 
 620 static PyObject *
 621 datetime_alloc(PyTypeObject *type, Py_ssize_t aware)
 622 {
 623     PyObject *self;
 624 
 625     self = (PyObject *)
 626         PyObject_MALLOC(aware ?
 627                         sizeof(PyDateTime_DateTime) :
 628                 sizeof(_PyDateTime_BaseDateTime));
 629     if (self == NULL)
 630         return (PyObject *)PyErr_NoMemory();
 631     PyObject_INIT(self, type);
 632     return self;
 633 }
 634 
 635 /* ---------------------------------------------------------------------------
 636  * Helpers for setting object fields.  These work on pointers to the
 637  * appropriate base class.
 638  */
 639 
 640 /* For date and datetime. */
 641 static void
 642 set_date_fields(PyDateTime_Date *self, int y, int m, int d)
 643 {
 644     self->hashcode = -1;
 645     SET_YEAR(self, y);
 646     SET_MONTH(self, m);
 647     SET_DAY(self, d);
 648 }
 649 
 650 /* ---------------------------------------------------------------------------
 651  * Create various objects, mostly without range checking.
 652  */
 653 
 654 /* Create a date instance with no range checking. */
 655 static PyObject *
 656 new_date_ex(int year, int month, int day, PyTypeObject *type)
 657 {
 658     PyDateTime_Date *self;
 659 
 660     self = (PyDateTime_Date *) (type->tp_alloc(type, 0));
 661     if (self != NULL)
 662         set_date_fields(self, year, month, day);
 663     return (PyObject *) self;
 664 }
 665 
 666 #define new_date(year, month, day) \
 667     new_date_ex(year, month, day, &PyDateTime_DateType)
 668 
 669 /* Create a datetime instance with no range checking. */
 670 static PyObject *
 671 new_datetime_ex(int year, int month, int day, int hour, int minute,
 672              int second, int usecond, PyObject *tzinfo, PyTypeObject *type)
 673 {
 674     PyDateTime_DateTime *self;
 675     char aware = tzinfo != Py_None;
 676 
 677     self = (PyDateTime_DateTime *) (type->tp_alloc(type, aware));
 678     if (self != NULL) {
 679         self->hastzinfo = aware;
 680         set_date_fields((PyDateTime_Date *)self, year, month, day);
 681         DATE_SET_HOUR(self, hour);
 682         DATE_SET_MINUTE(self, minute);
 683         DATE_SET_SECOND(self, second);
 684         DATE_SET_MICROSECOND(self, usecond);
 685         if (aware) {
 686             Py_INCREF(tzinfo);
 687             self->tzinfo = tzinfo;
 688         }
 689     }
 690     return (PyObject *)self;
 691 }
 692 
 693 #define new_datetime(y, m, d, hh, mm, ss, us, tzinfo)           \
 694     new_datetime_ex(y, m, d, hh, mm, ss, us, tzinfo,            \
 695                     &PyDateTime_DateTimeType)
 696 
 697 /* Create a time instance with no range checking. */
 698 static PyObject *
 699 new_time_ex(int hour, int minute, int second, int usecond,
 700             PyObject *tzinfo, PyTypeObject *type)
 701 {
 702     PyDateTime_Time *self;
 703     char aware = tzinfo != Py_None;
 704 
 705     self = (PyDateTime_Time *) (type->tp_alloc(type, aware));
 706     if (self != NULL) {
 707         self->hastzinfo = aware;
 708         self->hashcode = -1;
 709         TIME_SET_HOUR(self, hour);
 710         TIME_SET_MINUTE(self, minute);
 711         TIME_SET_SECOND(self, second);
 712         TIME_SET_MICROSECOND(self, usecond);
 713         if (aware) {
 714             Py_INCREF(tzinfo);
 715             self->tzinfo = tzinfo;
 716         }
 717     }
 718     return (PyObject *)self;
 719 }
 720 
 721 #define new_time(hh, mm, ss, us, tzinfo)                \
 722     new_time_ex(hh, mm, ss, us, tzinfo, &PyDateTime_TimeType)
 723 
 724 /* Create a timedelta instance.  Normalize the members iff normalize is
 725  * true.  Passing false is a speed optimization, if you know for sure
 726  * that seconds and microseconds are already in their proper ranges.  In any
 727  * case, raises OverflowError and returns NULL if the normalized days is out
 728  * of range).
 729  */
 730 static PyObject *
 731 new_delta_ex(int days, int seconds, int microseconds, int normalize,
 732              PyTypeObject *type)
 733 {
 734     PyDateTime_Delta *self;
 735 
 736     if (normalize)
 737         normalize_d_s_us(&days, &seconds, &microseconds);
 738     assert(0 <= seconds && seconds < 24*3600);
 739     assert(0 <= microseconds && microseconds < 1000000);
 740 
 741     if (check_delta_day_range(days) < 0)
 742         return NULL;
 743 
 744     self = (PyDateTime_Delta *) (type->tp_alloc(type, 0));
 745     if (self != NULL) {
 746         self->hashcode = -1;
 747         SET_TD_DAYS(self, days);
 748         SET_TD_SECONDS(self, seconds);
 749         SET_TD_MICROSECONDS(self, microseconds);
 750     }
 751     return (PyObject *) self;
 752 }
 753 
 754 #define new_delta(d, s, us, normalize)  \
 755     new_delta_ex(d, s, us, normalize, &PyDateTime_DeltaType)
 756 
 757 /* ---------------------------------------------------------------------------
 758  * tzinfo helpers.
 759  */
 760 
 761 /* Ensure that p is None or of a tzinfo subclass.  Return 0 if OK; if not
 762  * raise TypeError and return -1.
 763  */
 764 static int
 765 check_tzinfo_subclass(PyObject *p)
 766 {
 767     if (p == Py_None || PyTZInfo_Check(p))
 768         return 0;
 769     PyErr_Format(PyExc_TypeError,
 770                  "tzinfo argument must be None or of a tzinfo subclass, "
 771                  "not type '%s'",
 772                  Py_TYPE(p)->tp_name);
 773     return -1;
 774 }
 775 
 776 /* Return tzinfo.methname(tzinfoarg), without any checking of results.
 777  * If tzinfo is None, returns None.
 778  */
 779 static PyObject *
 780 call_tzinfo_method(PyObject *tzinfo, char *methname, PyObject *tzinfoarg)
 781 {
 782     PyObject *result;
 783 
 784     assert(tzinfo && methname && tzinfoarg);
 785     assert(check_tzinfo_subclass(tzinfo) >= 0);
 786     if (tzinfo == Py_None) {
 787         result = Py_None;
 788         Py_INCREF(result);
 789     }
 790     else
 791         result = PyObject_CallMethod(tzinfo, methname, "O", tzinfoarg);
 792     return result;
 793 }
 794 
 795 /* If self has a tzinfo member, return a BORROWED reference to it.  Else
 796  * return NULL, which is NOT AN ERROR.  There are no error returns here,
 797  * and the caller must not decref the result.
 798  */
 799 static PyObject *
 800 get_tzinfo_member(PyObject *self)
 801 {
 802     PyObject *tzinfo = NULL;
 803 
 804     if (PyDateTime_Check(self) && HASTZINFO(self))
 805         tzinfo = ((PyDateTime_DateTime *)self)->tzinfo;
 806     else if (PyTime_Check(self) && HASTZINFO(self))
 807         tzinfo = ((PyDateTime_Time *)self)->tzinfo;
 808 
 809     return tzinfo;
 810 }
 811 
 812 /* Call getattr(tzinfo, name)(tzinfoarg), and extract an int from the
 813  * result.  tzinfo must be an instance of the tzinfo class.  If the method
 814  * returns None, this returns 0 and sets *none to 1.  If the method doesn't
 815  * return None or timedelta, TypeError is raised and this returns -1.  If it
 816  * returnsa timedelta and the value is out of range or isn't a whole number
 817  * of minutes, ValueError is raised and this returns -1.
 818  * Else *none is set to 0 and the integer method result is returned.
 819  */
 820 static int
 821 call_utc_tzinfo_method(PyObject *tzinfo, char *name, PyObject *tzinfoarg,
 822                        int *none)
 823 {
 824     PyObject *u;
 825     int result = -1;
 826 
 827     assert(tzinfo != NULL);
 828     assert(PyTZInfo_Check(tzinfo));
 829     assert(tzinfoarg != NULL);
 830 
 831     *none = 0;
 832     u = call_tzinfo_method(tzinfo, name, tzinfoarg);
 833     if (u == NULL)
 834         return -1;
 835 
 836     else if (u == Py_None) {
 837         result = 0;
 838         *none = 1;
 839     }
 840     else if (PyDelta_Check(u)) {
 841         const int days = GET_TD_DAYS(u);
 842         if (days < -1 || days > 0)
 843             result = 24*60;             /* trigger ValueError below */
 844         else {
 845             /* next line can't overflow because we know days
 846              * is -1 or 0 now
 847              */
 848             int ss = days * 24 * 3600 + GET_TD_SECONDS(u);
 849             result = divmod(ss, 60, &ss);
 850             if (ss || GET_TD_MICROSECONDS(u)) {
 851                 PyErr_Format(PyExc_ValueError,
 852                              "tzinfo.%s() must return a "
 853                              "whole number of minutes",
 854                              name);
 855                 result = -1;
 856             }
 857         }
 858     }
 859     else {
 860         PyErr_Format(PyExc_TypeError,
 861                      "tzinfo.%s() must return None or "
 862                      "timedelta, not '%s'",
 863                      name, Py_TYPE(u)->tp_name);
 864     }
 865 
 866     Py_DECREF(u);
 867     if (result < -1439 || result > 1439) {
 868         PyErr_Format(PyExc_ValueError,
 869                      "tzinfo.%s() returned %d; must be in "
 870                      "-1439 .. 1439",
 871                      name, result);
 872         result = -1;
 873     }
 874     return result;
 875 }
 876 
 877 /* Call tzinfo.utcoffset(tzinfoarg), and extract an integer from the
 878  * result.  tzinfo must be an instance of the tzinfo class.  If utcoffset()
 879  * returns None, call_utcoffset returns 0 and sets *none to 1.  If uctoffset()
 880  * doesn't return None or timedelta, TypeError is raised and this returns -1.
 881  * If utcoffset() returns an invalid timedelta (out of range, or not a whole
 882  * # of minutes), ValueError is raised and this returns -1.  Else *none is
 883  * set to 0 and the offset is returned (as int # of minutes east of UTC).
 884  */
 885 static int
 886 call_utcoffset(PyObject *tzinfo, PyObject *tzinfoarg, int *none)
 887 {
 888     return call_utc_tzinfo_method(tzinfo, "utcoffset", tzinfoarg, none);
 889 }
 890 
 891 /* Call tzinfo.name(tzinfoarg), and return the offset as a timedelta or None.
 892  */
 893 static PyObject *
 894 offset_as_timedelta(PyObject *tzinfo, char *name, PyObject *tzinfoarg) {
 895     PyObject *result;
 896 
 897     assert(tzinfo && name && tzinfoarg);
 898     if (tzinfo == Py_None) {
 899         result = Py_None;
 900         Py_INCREF(result);
 901     }
 902     else {
 903         int none;
 904         int offset = call_utc_tzinfo_method(tzinfo, name, tzinfoarg,
 905                                             &none);
 906         if (offset < 0 && PyErr_Occurred())
 907             return NULL;
 908         if (none) {
 909             result = Py_None;
 910             Py_INCREF(result);
 911         }
 912         else
 913             result = new_delta(0, offset * 60, 0, 1);
 914     }
 915     return result;
 916 }
 917 
 918 /* Call tzinfo.dst(tzinfoarg), and extract an integer from the
 919  * result.  tzinfo must be an instance of the tzinfo class.  If dst()
 920  * returns None, call_dst returns 0 and sets *none to 1.  If dst()
 921  & doesn't return None or timedelta, TypeError is raised and this
 922  * returns -1.  If dst() returns an invalid timedelta for a UTC offset,
 923  * ValueError is raised and this returns -1.  Else *none is set to 0 and
 924  * the offset is returned (as an int # of minutes east of UTC).
 925  */
 926 static int
 927 call_dst(PyObject *tzinfo, PyObject *tzinfoarg, int *none)
 928 {
 929     return call_utc_tzinfo_method(tzinfo, "dst", tzinfoarg, none);
 930 }
 931 
 932 /* Call tzinfo.tzname(tzinfoarg), and return the result.  tzinfo must be
 933  * an instance of the tzinfo class or None.  If tzinfo isn't None, and
 934  * tzname() doesn't return None or a string, TypeError is raised and this
 935  * returns NULL.
 936  */
 937 static PyObject *
 938 call_tzname(PyObject *tzinfo, PyObject *tzinfoarg)
 939 {
 940     PyObject *result;
 941 
 942     assert(tzinfo != NULL);
 943     assert(check_tzinfo_subclass(tzinfo) >= 0);
 944     assert(tzinfoarg != NULL);
 945 
 946     if (tzinfo == Py_None) {
 947         result = Py_None;
 948         Py_INCREF(result);
 949     }
 950     else
 951         result = PyObject_CallMethod(tzinfo, "tzname", "O", tzinfoarg);
 952 
 953     if (result != NULL && result != Py_None && ! PyString_Check(result)) {
 954         PyErr_Format(PyExc_TypeError, "tzinfo.tzname() must "
 955                      "return None or a string, not '%s'",
 956                      Py_TYPE(result)->tp_name);
 957         Py_DECREF(result);
 958         result = NULL;
 959     }
 960     return result;
 961 }
 962 
 963 typedef enum {
 964               /* an exception has been set; the caller should pass it on */
 965           OFFSET_ERROR,
 966 
 967           /* type isn't date, datetime, or time subclass */
 968           OFFSET_UNKNOWN,
 969 
 970           /* date,
 971            * datetime with !hastzinfo
 972            * datetime with None tzinfo,
 973            * datetime where utcoffset() returns None
 974            * time with !hastzinfo
 975            * time with None tzinfo,
 976            * time where utcoffset() returns None
 977            */
 978           OFFSET_NAIVE,
 979 
 980           /* time or datetime where utcoffset() doesn't return None */
 981           OFFSET_AWARE
 982 } naivety;
 983 
 984 /* Classify an object as to whether it's naive or offset-aware.  See
 985  * the "naivety" typedef for details.  If the type is aware, *offset is set
 986  * to minutes east of UTC (as returned by the tzinfo.utcoffset() method).
 987  * If the type is offset-naive (or unknown, or error), *offset is set to 0.
 988  * tzinfoarg is the argument to pass to the tzinfo.utcoffset() method.
 989  */
 990 static naivety
 991 classify_utcoffset(PyObject *op, PyObject *tzinfoarg, int *offset)
 992 {
 993     int none;
 994     PyObject *tzinfo;
 995 
 996     assert(tzinfoarg != NULL);
 997     *offset = 0;
 998     tzinfo = get_tzinfo_member(op);     /* NULL means no tzinfo, not error */
 999     if (tzinfo == Py_None)
1000         return OFFSET_NAIVE;
1001     if (tzinfo == NULL) {
1002         /* note that a datetime passes the PyDate_Check test */
1003         return (PyTime_Check(op) || PyDate_Check(op)) ?
1004                OFFSET_NAIVE : OFFSET_UNKNOWN;
1005     }
1006     *offset = call_utcoffset(tzinfo, tzinfoarg, &none);
1007     if (*offset == -1 && PyErr_Occurred())
1008         return OFFSET_ERROR;
1009     return none ? OFFSET_NAIVE : OFFSET_AWARE;
1010 }
1011 
1012 /* Classify two objects as to whether they're naive or offset-aware.
1013  * This isn't quite the same as calling classify_utcoffset() twice:  for
1014  * binary operations (comparison and subtraction), we generally want to
1015  * ignore the tzinfo members if they're identical.  This is by design,
1016  * so that results match "naive" expectations when mixing objects from a
1017  * single timezone.  So in that case, this sets both offsets to 0 and
1018  * both naiveties to OFFSET_NAIVE.
1019  * The function returns 0 if everything's OK, and -1 on error.
1020  */
1021 static int
1022 classify_two_utcoffsets(PyObject *o1, int *offset1, naivety *n1,
1023                         PyObject *tzinfoarg1,
1024                         PyObject *o2, int *offset2, naivety *n2,
1025                         PyObject *tzinfoarg2)
1026 {
1027     if (get_tzinfo_member(o1) == get_tzinfo_member(o2)) {
1028         *offset1 = *offset2 = 0;
1029         *n1 = *n2 = OFFSET_NAIVE;
1030     }
1031     else {
1032         *n1 = classify_utcoffset(o1, tzinfoarg1, offset1);
1033         if (*n1 == OFFSET_ERROR)
1034             return -1;
1035         *n2 = classify_utcoffset(o2, tzinfoarg2, offset2);
1036         if (*n2 == OFFSET_ERROR)
1037             return -1;
1038     }
1039     return 0;
1040 }
1041 
1042 /* repr is like "someclass(arg1, arg2)".  If tzinfo isn't None,
1043  * stuff
1044  *     ", tzinfo=" + repr(tzinfo)
1045  * before the closing ")".
1046  */
1047 static PyObject *
1048 append_keyword_tzinfo(PyObject *repr, PyObject *tzinfo)
1049 {
1050     PyObject *temp;
1051 
1052     assert(PyString_Check(repr));
1053     assert(tzinfo);
1054     if (tzinfo == Py_None)
1055         return repr;
1056     /* Get rid of the trailing ')'. */
1057     assert(PyString_AsString(repr)[PyString_Size(repr)-1] == ')');
1058     temp = PyString_FromStringAndSize(PyString_AsString(repr),
1059                                       PyString_Size(repr) - 1);
1060     Py_DECREF(repr);
1061     if (temp == NULL)
1062         return NULL;
1063     repr = temp;
1064 
1065     /* Append ", tzinfo=". */
1066     PyString_ConcatAndDel(&repr, PyString_FromString(", tzinfo="));
1067 
1068     /* Append repr(tzinfo). */
1069     PyString_ConcatAndDel(&repr, PyObject_Repr(tzinfo));
1070 
1071     /* Add a closing paren. */
1072     PyString_ConcatAndDel(&repr, PyString_FromString(")"));
1073     return repr;
1074 }
1075 
1076 /* ---------------------------------------------------------------------------
1077  * String format helpers.
1078  */
1079 
1080 static PyObject *
1081 format_ctime(PyDateTime_Date *date, int hours, int minutes, int seconds)
1082 {
1083     static const char *DayNames[] = {
1084         "Mon", "Tue", "Wed", "Thu", "Fri", "Sat", "Sun"
1085     };
1086     static const char *MonthNames[] = {
1087         "Jan", "Feb", "Mar", "Apr", "May", "Jun",
1088         "Jul", "Aug", "Sep", "Oct", "Nov", "Dec"
1089     };
1090 
1091     char buffer[128];
1092     int wday = weekday(GET_YEAR(date), GET_MONTH(date), GET_DAY(date));
1093 
1094     PyOS_snprintf(buffer, sizeof(buffer), "%s %s %2d %02d:%02d:%02d %04d",
1095                   DayNames[wday], MonthNames[GET_MONTH(date) - 1],
1096                   GET_DAY(date), hours, minutes, seconds,
1097                   GET_YEAR(date));
1098     return PyString_FromString(buffer);
1099 }
1100 
1101 /* Add an hours & minutes UTC offset string to buf.  buf has no more than
1102  * buflen bytes remaining.  The UTC offset is gotten by calling
1103  * tzinfo.uctoffset(tzinfoarg).  If that returns None, \0 is stored into
1104  * *buf, and that's all.  Else the returned value is checked for sanity (an
1105  * integer in range), and if that's OK it's converted to an hours & minutes
1106  * string of the form
1107  *   sign HH sep MM
1108  * Returns 0 if everything is OK.  If the return value from utcoffset() is
1109  * bogus, an appropriate exception is set and -1 is returned.
1110  */
1111 static int
1112 format_utcoffset(char *buf, size_t buflen, const char *sep,
1113                 PyObject *tzinfo, PyObject *tzinfoarg)
1114 {
1115     int offset;
1116     int hours;
1117     int minutes;
1118     char sign;
1119     int none;
1120 
1121     assert(buflen >= 1);
1122 
1123     offset = call_utcoffset(tzinfo, tzinfoarg, &none);
1124     if (offset == -1 && PyErr_Occurred())
1125         return -1;
1126     if (none) {
1127         *buf = '\0';
1128         return 0;
1129     }
1130     sign = '+';
1131     if (offset < 0) {
1132         sign = '-';
1133         offset = - offset;
1134     }
1135     hours = divmod(offset, 60, &minutes);
1136     PyOS_snprintf(buf, buflen, "%c%02d%s%02d", sign, hours, sep, minutes);
1137     return 0;
1138 }
1139 
1140 static PyObject *
1141 make_freplacement(PyObject *object)
1142 {
1143     char freplacement[64];
1144     if (PyTime_Check(object))
1145         sprintf(freplacement, "%06d", TIME_GET_MICROSECOND(object));
1146     else if (PyDateTime_Check(object))
1147         sprintf(freplacement, "%06d", DATE_GET_MICROSECOND(object));
1148     else
1149         sprintf(freplacement, "%06d", 0);
1150 
1151     return PyString_FromStringAndSize(freplacement, strlen(freplacement));
1152 }
1153 
1154 /* I sure don't want to reproduce the strftime code from the time module,
1155  * so this imports the module and calls it.  All the hair is due to
1156  * giving special meanings to the %z, %Z and %f format codes via a
1157  * preprocessing step on the format string.
1158  * tzinfoarg is the argument to pass to the object's tzinfo method, if
1159  * needed.
1160  */
1161 static PyObject *
1162 wrap_strftime(PyObject *object, const char *format, size_t format_len,
1163                 PyObject *timetuple, PyObject *tzinfoarg)
1164 {
1165     PyObject *result = NULL;            /* guilty until proved innocent */
1166 
1167     PyObject *zreplacement = NULL;      /* py string, replacement for %z */
1168     PyObject *Zreplacement = NULL;      /* py string, replacement for %Z */
1169     PyObject *freplacement = NULL;      /* py string, replacement for %f */
1170 
1171     const char *pin;            /* pointer to next char in input format */
1172     char ch;                    /* next char in input format */
1173 
1174     PyObject *newfmt = NULL;            /* py string, the output format */
1175     char *pnew;         /* pointer to available byte in output format */
1176     size_t totalnew;            /* number bytes total in output format buffer,
1177                                exclusive of trailing \0 */
1178     size_t usednew;     /* number bytes used so far in output format buffer */
1179 
1180     const char *ptoappend;      /* ptr to string to append to output buffer */
1181     size_t ntoappend;           /* # of bytes to append to output buffer */
1182 
1183     assert(object && format && timetuple);
1184 
1185     /* Give up if the year is before 1900.
1186      * Python strftime() plays games with the year, and different
1187      * games depending on whether envar PYTHON2K is set.  This makes
1188      * years before 1900 a nightmare, even if the platform strftime
1189      * supports them (and not all do).
1190      * We could get a lot farther here by avoiding Python's strftime
1191      * wrapper and calling the C strftime() directly, but that isn't
1192      * an option in the Python implementation of this module.
1193      */
1194     {
1195         long year;
1196         PyObject *pyyear = PySequence_GetItem(timetuple, 0);
1197         if (pyyear == NULL) return NULL;
1198         assert(PyInt_Check(pyyear));
1199         year = PyInt_AsLong(pyyear);
1200         Py_DECREF(pyyear);
1201         if (year < 1900) {
1202             PyErr_Format(PyExc_ValueError, "year=%ld is before "
1203                          "1900; the datetime strftime() "
1204                          "methods require year >= 1900",
1205                          year);
1206             return NULL;
1207         }
1208     }
1209 
1210     /* Scan the input format, looking for %z/%Z/%f escapes, building
1211      * a new format.  Since computing the replacements for those codes
1212      * is expensive, don't unless they're actually used.
1213      */
1214     if (format_len > INT_MAX - 1) {
1215         PyErr_NoMemory();
1216         goto Done;
1217     }
1218 
1219     totalnew = format_len + 1;          /* realistic if no %z/%Z/%f */
1220     newfmt = PyString_FromStringAndSize(NULL, totalnew);
1221     if (newfmt == NULL) goto Done;
1222     pnew = PyString_AsString(newfmt);
1223     usednew = 0;
1224 
1225     pin = format;
1226     while ((ch = *pin++) != '\0') {
1227         if (ch != '%') {
1228             ptoappend = pin - 1;
1229             ntoappend = 1;
1230         }
1231         else if ((ch = *pin++) == '\0') {
1232             /* There's a lone trailing %; doesn't make sense. */
1233             PyErr_SetString(PyExc_ValueError, "strftime format "
1234                             "ends with raw %");
1235             goto Done;
1236         }
1237         /* A % has been seen and ch is the character after it. */
1238         else if (ch == 'z') {
1239             if (zreplacement == NULL) {
1240                 /* format utcoffset */
1241                 char buf[100];
1242                 PyObject *tzinfo = get_tzinfo_member(object);
1243                 zreplacement = PyString_FromString("");
1244                 if (zreplacement == NULL) goto Done;
1245                 if (tzinfo != Py_None && tzinfo != NULL) {
1246                     assert(tzinfoarg != NULL);
1247                     if (format_utcoffset(buf,
1248                                          sizeof(buf),
1249                                          "",
1250                                          tzinfo,
1251                                          tzinfoarg) < 0)
1252                         goto Done;
1253                     Py_DECREF(zreplacement);
1254                     zreplacement = PyString_FromString(buf);
1255                     if (zreplacement == NULL) goto Done;
1256                 }
1257             }
1258             assert(zreplacement != NULL);
1259             ptoappend = PyString_AS_STRING(zreplacement);
1260             ntoappend = PyString_GET_SIZE(zreplacement);
1261         }
1262         else if (ch == 'Z') {
1263             /* format tzname */
1264             if (Zreplacement == NULL) {
1265                 PyObject *tzinfo = get_tzinfo_member(object);
1266                 Zreplacement = PyString_FromString("");
1267                 if (Zreplacement == NULL) goto Done;
1268                 if (tzinfo != Py_None && tzinfo != NULL) {
1269                     PyObject *temp;
1270                     assert(tzinfoarg != NULL);
1271                     temp = call_tzname(tzinfo, tzinfoarg);
1272                     if (temp == NULL) goto Done;
1273                     if (temp != Py_None) {
1274                         assert(PyString_Check(temp));
1275                         /* Since the tzname is getting
1276                          * stuffed into the format, we
1277                          * have to double any % signs
1278                          * so that strftime doesn't
1279                          * treat them as format codes.
1280                          */
1281                         Py_DECREF(Zreplacement);
1282                         Zreplacement = PyObject_CallMethod(
1283                             temp, "replace",
1284                             "ss", "%", "%%");
1285                         Py_DECREF(temp);
1286                         if (Zreplacement == NULL)
1287                             goto Done;
1288                         if (!PyString_Check(Zreplacement)) {
1289                             PyErr_SetString(PyExc_TypeError, "tzname.replace() did not return a string");
1290                             goto Done;
1291                         }
1292                     }
1293                     else
1294                         Py_DECREF(temp);
1295                 }
1296             }
1297             assert(Zreplacement != NULL);
1298             ptoappend = PyString_AS_STRING(Zreplacement);
1299             ntoappend = PyString_GET_SIZE(Zreplacement);
1300         }
1301         else if (ch == 'f') {
1302             /* format microseconds */
1303             if (freplacement == NULL) {
1304                 freplacement = make_freplacement(object);
1305                 if (freplacement == NULL)
1306                     goto Done;
1307             }
1308             assert(freplacement != NULL);
1309             assert(PyString_Check(freplacement));
1310             ptoappend = PyString_AS_STRING(freplacement);
1311             ntoappend = PyString_GET_SIZE(freplacement);
1312         }
1313         else {
1314             /* percent followed by neither z nor Z */
1315             ptoappend = pin - 2;
1316             ntoappend = 2;
1317         }
1318 
1319         /* Append the ntoappend chars starting at ptoappend to
1320          * the new format.
1321          */
1322         assert(ptoappend != NULL);
1323         assert(ntoappend >= 0);
1324         if (ntoappend == 0)
1325             continue;
1326         while (usednew + ntoappend > totalnew) {
1327             size_t bigger = totalnew << 1;
1328             if ((bigger >> 1) != totalnew) { /* overflow */
1329                 PyErr_NoMemory();
1330                 goto Done;
1331             }
1332             if (_PyString_Resize(&newfmt, bigger) < 0)
1333                 goto Done;
1334             totalnew = bigger;
1335             pnew = PyString_AsString(newfmt) + usednew;
1336         }
1337         memcpy(pnew, ptoappend, ntoappend);
1338         pnew += ntoappend;
1339         usednew += ntoappend;
1340         assert(usednew <= totalnew);
1341     }  /* end while() */
1342 
1343     if (_PyString_Resize(&newfmt, usednew) < 0)
1344         goto Done;
1345     {
1346         PyObject *time = PyImport_ImportModuleNoBlock("time");
1347         if (time == NULL)
1348             goto Done;
1349         result = PyObject_CallMethod(time, "strftime", "OO",
1350                                      newfmt, timetuple);
1351         Py_DECREF(time);
1352     }
1353  Done:
1354     Py_XDECREF(freplacement);
1355     Py_XDECREF(zreplacement);
1356     Py_XDECREF(Zreplacement);
1357     Py_XDECREF(newfmt);
1358     return result;
1359 }
1360 
1361 static char *
1362 isoformat_date(PyDateTime_Date *dt, char buffer[], int bufflen)
1363 {
1364     int x;
1365     x = PyOS_snprintf(buffer, bufflen,
1366                       "%04d-%02d-%02d",
1367                       GET_YEAR(dt), GET_MONTH(dt), GET_DAY(dt));
1368     assert(bufflen >= x);
1369     return buffer + x;
1370 }
1371 
1372 static char *
1373 isoformat_time(PyDateTime_DateTime *dt, char buffer[], int bufflen)
1374 {
1375     int x;
1376     int us = DATE_GET_MICROSECOND(dt);
1377 
1378     x = PyOS_snprintf(buffer, bufflen,
1379                       "%02d:%02d:%02d",
1380                       DATE_GET_HOUR(dt),
1381                       DATE_GET_MINUTE(dt),
1382                       DATE_GET_SECOND(dt));
1383     assert(bufflen >= x);
1384     if (us)
1385         x += PyOS_snprintf(buffer + x, bufflen - x, ".%06d", us);
1386     assert(bufflen >= x);
1387     return buffer + x;
1388 }
1389 
1390 /* ---------------------------------------------------------------------------
1391  * Wrap functions from the time module.  These aren't directly available
1392  * from C.  Perhaps they should be.
1393  */
1394 
1395 /* Call time.time() and return its result (a Python float). */
1396 static PyObject *
1397 time_time(void)
1398 {
1399     PyObject *result = NULL;
1400     PyObject *time = PyImport_ImportModuleNoBlock("time");
1401 
1402     if (time != NULL) {
1403         result = PyObject_CallMethod(time, "time", "()");
1404         Py_DECREF(time);
1405     }
1406     return result;
1407 }
1408 
1409 /* Build a time.struct_time.  The weekday and day number are automatically
1410  * computed from the y,m,d args.
1411  */
1412 static PyObject *
1413 build_struct_time(int y, int m, int d, int hh, int mm, int ss, int dstflag)
1414 {
1415     PyObject *time;
1416     PyObject *result = NULL;
1417 
1418     time = PyImport_ImportModuleNoBlock("time");
1419     if (time != NULL) {
1420         result = PyObject_CallMethod(time, "struct_time",
1421                                      "((iiiiiiiii))",
1422                                      y, m, d,
1423                                      hh, mm, ss,
1424                                      weekday(y, m, d),
1425                                      days_before_month(y, m) + d,
1426                                      dstflag);
1427         Py_DECREF(time);
1428     }
1429     return result;
1430 }
1431 
1432 /* ---------------------------------------------------------------------------
1433  * Miscellaneous helpers.
1434  */
1435 
1436 /* For obscure reasons, we need to use tp_richcompare instead of tp_compare.
1437  * The comparisons here all most naturally compute a cmp()-like result.
1438  * This little helper turns that into a bool result for rich comparisons.
1439  */
1440 static PyObject *
1441 diff_to_bool(int diff, int op)
1442 {
1443     PyObject *result;
1444     int istrue;
1445 
1446     switch (op) {
1447         case Py_EQ: istrue = diff == 0; break;
1448         case Py_NE: istrue = diff != 0; break;
1449         case Py_LE: istrue = diff <= 0; break;
1450         case Py_GE: istrue = diff >= 0; break;
1451         case Py_LT: istrue = diff < 0; break;
1452         case Py_GT: istrue = diff > 0; break;
1453         default:
1454             assert(! "op unknown");
1455             istrue = 0; /* To shut up compiler */
1456     }
1457     result = istrue ? Py_True : Py_False;
1458     Py_INCREF(result);
1459     return result;
1460 }
1461 
1462 /* Raises a "can't compare" TypeError and returns NULL. */
1463 static PyObject *
1464 cmperror(PyObject *a, PyObject *b)
1465 {
1466     PyErr_Format(PyExc_TypeError,
1467                  "can't compare %s to %s",
1468                  Py_TYPE(a)->tp_name, Py_TYPE(b)->tp_name);
1469     return NULL;
1470 }
1471 
1472 /* ---------------------------------------------------------------------------
1473  * Cached Python objects; these are set by the module init function.
1474  */
1475 
1476 /* Conversion factors. */
1477 static PyObject *us_per_us = NULL;      /* 1 */
1478 static PyObject *us_per_ms = NULL;      /* 1000 */
1479 static PyObject *us_per_second = NULL;  /* 1000000 */
1480 static PyObject *us_per_minute = NULL;  /* 1e6 * 60 as Python int */
1481 static PyObject *us_per_hour = NULL;    /* 1e6 * 3600 as Python long */
1482 static PyObject *us_per_day = NULL;     /* 1e6 * 3600 * 24 as Python long */
1483 static PyObject *us_per_week = NULL;    /* 1e6*3600*24*7 as Python long */
1484 static PyObject *seconds_per_day = NULL; /* 3600*24 as Python int */
1485 
1486 /* ---------------------------------------------------------------------------
1487  * Class implementations.
1488  */
1489 
1490 /*
1491  * PyDateTime_Delta implementation.
1492  */
1493 
1494 /* Convert a timedelta to a number of us,
1495  *      (24*3600*self.days + self.seconds)*1000000 + self.microseconds
1496  * as a Python int or long.
1497  * Doing mixed-radix arithmetic by hand instead is excruciating in C,
1498  * due to ubiquitous overflow possibilities.
1499  */
1500 static PyObject *
1501 delta_to_microseconds(PyDateTime_Delta *self)
1502 {
1503     PyObject *x1 = NULL;
1504     PyObject *x2 = NULL;
1505     PyObject *x3 = NULL;
1506     PyObject *result = NULL;
1507 
1508     x1 = PyInt_FromLong(GET_TD_DAYS(self));
1509     if (x1 == NULL)
1510         goto Done;
1511     x2 = PyNumber_Multiply(x1, seconds_per_day);        /* days in seconds */
1512     if (x2 == NULL)
1513         goto Done;
1514     Py_DECREF(x1);
1515     x1 = NULL;
1516 
1517     /* x2 has days in seconds */
1518     x1 = PyInt_FromLong(GET_TD_SECONDS(self));          /* seconds */
1519     if (x1 == NULL)
1520         goto Done;
1521     x3 = PyNumber_Add(x1, x2);          /* days and seconds in seconds */
1522     if (x3 == NULL)
1523         goto Done;
1524     Py_DECREF(x1);
1525     Py_DECREF(x2);
1526     x2 = NULL;
1527 
1528     /* x3 has days+seconds in seconds */
1529     x1 = PyNumber_Multiply(x3, us_per_second);          /* us */
1530     if (x1 == NULL)
1531         goto Done;
1532     Py_DECREF(x3);
1533     x3 = NULL;
1534 
1535     /* x1 has days+seconds in us */
1536     x2 = PyInt_FromLong(GET_TD_MICROSECONDS(self));
1537     if (x2 == NULL)
1538         goto Done;
1539     result = PyNumber_Add(x1, x2);
1540 
1541 Done:
1542     Py_XDECREF(x1);
1543     Py_XDECREF(x2);
1544     Py_XDECREF(x3);
1545     return result;
1546 }
1547 
1548 /* Convert a number of us (as a Python int or long) to a timedelta.
1549  */
1550 static PyObject *
1551 microseconds_to_delta_ex(PyObject *pyus, PyTypeObject *type)
1552 {
1553     int us;
1554     int s;
1555     int d;
1556     long temp;
1557 
1558     PyObject *tuple = NULL;
1559     PyObject *num = NULL;
1560     PyObject *result = NULL;
1561 
1562     tuple = PyNumber_Divmod(pyus, us_per_second);
1563     if (tuple == NULL)
1564         goto Done;
1565 
1566     num = PyTuple_GetItem(tuple, 1);            /* us */
1567     if (num == NULL)
1568         goto Done;
1569     temp = PyLong_AsLong(num);
1570     num = NULL;
1571     if (temp == -1 && PyErr_Occurred())
1572         goto Done;
1573     assert(0 <= temp && temp < 1000000);
1574     us = (int)temp;
1575     if (us < 0) {
1576         /* The divisor was positive, so this must be an error. */
1577         assert(PyErr_Occurred());
1578         goto Done;
1579     }
1580 
1581     num = PyTuple_GetItem(tuple, 0);            /* leftover seconds */
1582     if (num == NULL)
1583         goto Done;
1584     Py_INCREF(num);
1585     Py_DECREF(tuple);
1586 
1587     tuple = PyNumber_Divmod(num, seconds_per_day);
1588     if (tuple == NULL)
1589         goto Done;
1590     Py_DECREF(num);
1591 
1592     num = PyTuple_GetItem(tuple, 1);            /* seconds */
1593     if (num == NULL)
1594         goto Done;
1595     temp = PyLong_AsLong(num);
1596     num = NULL;
1597     if (temp == -1 && PyErr_Occurred())
1598         goto Done;
1599     assert(0 <= temp && temp < 24*3600);
1600     s = (int)temp;
1601 
1602     if (s < 0) {
1603         /* The divisor was positive, so this must be an error. */
1604         assert(PyErr_Occurred());
1605         goto Done;
1606     }
1607 
1608     num = PyTuple_GetItem(tuple, 0);            /* leftover days */
1609     if (num == NULL)
1610         goto Done;
1611     Py_INCREF(num);
1612     temp = PyLong_AsLong(num);
1613     if (temp == -1 && PyErr_Occurred())
1614         goto Done;
1615     d = (int)temp;
1616     if ((long)d != temp) {
1617         PyErr_SetString(PyExc_OverflowError, "normalized days too "
1618                         "large to fit in a C int");
1619         goto Done;
1620     }
1621     result = new_delta_ex(d, s, us, 0, type);
1622 
1623 Done:
1624     Py_XDECREF(tuple);
1625     Py_XDECREF(num);
1626     return result;
1627 }
1628 
1629 #define microseconds_to_delta(pymicros) \
1630     microseconds_to_delta_ex(pymicros, &PyDateTime_DeltaType)
1631 
1632 static PyObject *
1633 multiply_int_timedelta(PyObject *intobj, PyDateTime_Delta *delta)
1634 {
1635     PyObject *pyus_in;
1636     PyObject *pyus_out;
1637     PyObject *result;
1638 
1639     pyus_in = delta_to_microseconds(delta);
1640     if (pyus_in == NULL)
1641         return NULL;
1642 
1643     pyus_out = PyNumber_Multiply(pyus_in, intobj);
1644     Py_DECREF(pyus_in);
1645     if (pyus_out == NULL)
1646         return NULL;
1647 
1648     result = microseconds_to_delta(pyus_out);
1649     Py_DECREF(pyus_out);
1650     return result;
1651 }
1652 
1653 static PyObject *
1654 divide_timedelta_int(PyDateTime_Delta *delta, PyObject *intobj)
1655 {
1656     PyObject *pyus_in;
1657     PyObject *pyus_out;
1658     PyObject *result;
1659 
1660     pyus_in = delta_to_microseconds(delta);
1661     if (pyus_in == NULL)
1662         return NULL;
1663 
1664     pyus_out = PyNumber_FloorDivide(pyus_in, intobj);
1665     Py_DECREF(pyus_in);
1666     if (pyus_out == NULL)
1667         return NULL;
1668 
1669     result = microseconds_to_delta(pyus_out);
1670     Py_DECREF(pyus_out);
1671     return result;
1672 }
1673 
1674 static PyObject *
1675 delta_add(PyObject *left, PyObject *right)
1676 {
1677     PyObject *result = Py_NotImplemented;
1678 
1679     if (PyDelta_Check(left) && PyDelta_Check(right)) {
1680         /* delta + delta */
1681         /* The C-level additions can't overflow because of the
1682          * invariant bounds.
1683          */
1684         int days = GET_TD_DAYS(left) + GET_TD_DAYS(right);
1685         int seconds = GET_TD_SECONDS(left) + GET_TD_SECONDS(right);
1686         int microseconds = GET_TD_MICROSECONDS(left) +
1687                            GET_TD_MICROSECONDS(right);
1688         result = new_delta(days, seconds, microseconds, 1);
1689     }
1690 
1691     if (result == Py_NotImplemented)
1692         Py_INCREF(result);
1693     return result;
1694 }
1695 
1696 static PyObject *
1697 delta_negative(PyDateTime_Delta *self)
1698 {
1699     return new_delta(-GET_TD_DAYS(self),
1700                      -GET_TD_SECONDS(self),
1701                      -GET_TD_MICROSECONDS(self),
1702                      1);
1703 }
1704 
1705 static PyObject *
1706 delta_positive(PyDateTime_Delta *self)
1707 {
1708     /* Could optimize this (by returning self) if this isn't a
1709      * subclass -- but who uses unary + ?  Approximately nobody.
1710      */
1711     return new_delta(GET_TD_DAYS(self),
1712                      GET_TD_SECONDS(self),
1713                      GET_TD_MICROSECONDS(self),
1714                      0);
1715 }
1716 
1717 static PyObject *
1718 delta_abs(PyDateTime_Delta *self)
1719 {
1720     PyObject *result;
1721 
1722     assert(GET_TD_MICROSECONDS(self) >= 0);
1723     assert(GET_TD_SECONDS(self) >= 0);
1724 
1725     if (GET_TD_DAYS(self) < 0)
1726         result = delta_negative(self);
1727     else
1728         result = delta_positive(self);
1729 
1730     return result;
1731 }
1732 
1733 static PyObject *
1734 delta_subtract(PyObject *left, PyObject *right)
1735 {
1736     PyObject *result = Py_NotImplemented;
1737 
1738     if (PyDelta_Check(left) && PyDelta_Check(right)) {
1739         /* delta - delta */
1740         /* The C-level additions can't overflow because of the
1741          * invariant bounds.
1742          */
1743         int days = GET_TD_DAYS(left) - GET_TD_DAYS(right);
1744         int seconds = GET_TD_SECONDS(left) - GET_TD_SECONDS(right);
1745         int microseconds = GET_TD_MICROSECONDS(left) -
1746                            GET_TD_MICROSECONDS(right);
1747         result = new_delta(days, seconds, microseconds, 1);
1748     }
1749 
1750     if (result == Py_NotImplemented)
1751         Py_INCREF(result);
1752     return result;
1753 }
1754 
1755 /* This is more natural as a tp_compare, but doesn't work then:  for whatever
1756  * reason, Python's try_3way_compare ignores tp_compare unless
1757  * PyInstance_Check returns true, but these aren't old-style classes.
1758  */
1759 static PyObject *
1760 delta_richcompare(PyDateTime_Delta *self, PyObject *other, int op)
1761 {
1762     int diff = 42;      /* nonsense */
1763 
1764     if (PyDelta_Check(other)) {
1765         diff = GET_TD_DAYS(self) - GET_TD_DAYS(other);
1766         if (diff == 0) {
1767             diff = GET_TD_SECONDS(self) - GET_TD_SECONDS(other);
1768             if (diff == 0)
1769                 diff = GET_TD_MICROSECONDS(self) -
1770                        GET_TD_MICROSECONDS(other);
1771         }
1772     }
1773     else if (op == Py_EQ || op == Py_NE)
1774         diff = 1;               /* any non-zero value will do */
1775 
1776     else /* stop this from falling back to address comparison */
1777         return cmperror((PyObject *)self, other);
1778 
1779     return diff_to_bool(diff, op);
1780 }
1781 
1782 static PyObject *delta_getstate(PyDateTime_Delta *self);
1783 
1784 static long
1785 delta_hash(PyDateTime_Delta *self)
1786 {
1787     if (self->hashcode == -1) {
1788         PyObject *temp = delta_getstate(self);
1789         if (temp != NULL) {
1790             self->hashcode = PyObject_Hash(temp);
1791             Py_DECREF(temp);
1792         }
1793     }
1794     return self->hashcode;
1795 }
1796 
1797 static PyObject *
1798 delta_multiply(PyObject *left, PyObject *right)
1799 {
1800     PyObject *result = Py_NotImplemented;
1801 
1802     if (PyDelta_Check(left)) {
1803         /* delta * ??? */
1804         if (PyInt_Check(right) || PyLong_Check(right))
1805             result = multiply_int_timedelta(right,
1806                             (PyDateTime_Delta *) left);
1807     }
1808     else if (PyInt_Check(left) || PyLong_Check(left))
1809         result = multiply_int_timedelta(left,
1810                                         (PyDateTime_Delta *) right);
1811 
1812     if (result == Py_NotImplemented)
1813         Py_INCREF(result);
1814     return result;
1815 }
1816 
1817 static PyObject *
1818 delta_divide(PyObject *left, PyObject *right)
1819 {
1820     PyObject *result = Py_NotImplemented;
1821 
1822     if (PyDelta_Check(left)) {
1823         /* delta * ??? */
1824         if (PyInt_Check(right) || PyLong_Check(right))
1825             result = divide_timedelta_int(
1826                             (PyDateTime_Delta *)left,
1827                             right);
1828     }
1829 
1830     if (result == Py_NotImplemented)
1831         Py_INCREF(result);
1832     return result;
1833 }
1834 
1835 /* Fold in the value of the tag ("seconds", "weeks", etc) component of a
1836  * timedelta constructor.  sofar is the # of microseconds accounted for
1837  * so far, and there are factor microseconds per current unit, the number
1838  * of which is given by num.  num * factor is added to sofar in a
1839  * numerically careful way, and that's the result.  Any fractional
1840  * microseconds left over (this can happen if num is a float type) are
1841  * added into *leftover.
1842  * Note that there are many ways this can give an error (NULL) return.
1843  */
1844 static PyObject *
1845 accum(const char* tag, PyObject *sofar, PyObject *num, PyObject *factor,
1846       double *leftover)
1847 {
1848     PyObject *prod;
1849     PyObject *sum;
1850 
1851     assert(num != NULL);
1852 
1853     if (PyInt_Check(num) || PyLong_Check(num)) {
1854         prod = PyNumber_Multiply(num, factor);
1855         if (prod == NULL)
1856             return NULL;
1857         sum = PyNumber_Add(sofar, prod);
1858         Py_DECREF(prod);
1859         return sum;
1860     }
1861 
1862     if (PyFloat_Check(num)) {
1863         double dnum;
1864         double fracpart;
1865         double intpart;
1866         PyObject *x;
1867         PyObject *y;
1868 
1869         /* The Plan:  decompose num into an integer part and a
1870          * fractional part, num = intpart + fracpart.
1871          * Then num * factor ==
1872          *      intpart * factor + fracpart * factor
1873          * and the LHS can be computed exactly in long arithmetic.
1874          * The RHS is again broken into an int part and frac part.
1875          * and the frac part is added into *leftover.
1876          */
1877         dnum = PyFloat_AsDouble(num);
1878         if (dnum == -1.0 && PyErr_Occurred())
1879             return NULL;
1880         fracpart = modf(dnum, &intpart);
1881         x = PyLong_FromDouble(intpart);
1882         if (x == NULL)
1883             return NULL;
1884 
1885         prod = PyNumber_Multiply(x, factor);
1886         Py_DECREF(x);
1887         if (prod == NULL)
1888             return NULL;
1889 
1890         sum = PyNumber_Add(sofar, prod);
1891         Py_DECREF(prod);
1892         if (sum == NULL)
1893             return NULL;
1894 
1895         if (fracpart == 0.0)
1896             return sum;
1897         /* So far we've lost no information.  Dealing with the
1898          * fractional part requires float arithmetic, and may
1899          * lose a little info.
1900          */
1901         assert(PyInt_Check(factor) || PyLong_Check(factor));
1902         if (PyInt_Check(factor))
1903             dnum = (double)PyInt_AsLong(factor);
1904         else
1905             dnum = PyLong_AsDouble(factor);
1906 
1907         dnum *= fracpart;
1908         fracpart = modf(dnum, &intpart);
1909         x = PyLong_FromDouble(intpart);
1910         if (x == NULL) {
1911             Py_DECREF(sum);
1912             return NULL;
1913         }
1914 
1915         y = PyNumber_Add(sum, x);
1916         Py_DECREF(sum);
1917         Py_DECREF(x);
1918         *leftover += fracpart;
1919         return y;
1920     }
1921 
1922     PyErr_Format(PyExc_TypeError,
1923                  "unsupported type for timedelta %s component: %s",
1924                  tag, Py_TYPE(num)->tp_name);
1925     return NULL;
1926 }
1927 
1928 static PyObject *
1929 delta_new(PyTypeObject *type, PyObject *args, PyObject *kw)
1930 {
1931     PyObject *self = NULL;
1932 
1933     /* Argument objects. */
1934     PyObject *day = NULL;
1935     PyObject *second = NULL;
1936     PyObject *us = NULL;
1937     PyObject *ms = NULL;
1938     PyObject *minute = NULL;
1939     PyObject *hour = NULL;
1940     PyObject *week = NULL;
1941 
1942     PyObject *x = NULL;         /* running sum of microseconds */
1943     PyObject *y = NULL;         /* temp sum of microseconds */
1944     double leftover_us = 0.0;
1945 
1946     static char *keywords[] = {
1947         "days", "seconds", "microseconds", "milliseconds",
1948         "minutes", "hours", "weeks", NULL
1949     };
1950 
1951     if (PyArg_ParseTupleAndKeywords(args, kw, "|OOOOOOO:__new__",
1952                                     keywords,
1953                                     &day, &second, &us,
1954                                     &ms, &minute, &hour, &week) == 0)
1955         goto Done;
1956 
1957     x = PyInt_FromLong(0);
1958     if (x == NULL)
1959         goto Done;
1960 
1961 #define CLEANUP         \
1962     Py_DECREF(x);       \
1963     x = y;              \
1964     if (x == NULL)      \
1965         goto Done
1966 
1967     if (us) {
1968         y = accum("microseconds", x, us, us_per_us, &leftover_us);
1969         CLEANUP;
1970     }
1971     if (ms) {
1972         y = accum("milliseconds", x, ms, us_per_ms, &leftover_us);
1973         CLEANUP;
1974     }
1975     if (second) {
1976         y = accum("seconds", x, second, us_per_second, &leftover_us);
1977         CLEANUP;
1978     }
1979     if (minute) {
1980         y = accum("minutes", x, minute, us_per_minute, &leftover_us);
1981         CLEANUP;
1982     }
1983     if (hour) {
1984         y = accum("hours", x, hour, us_per_hour, &leftover_us);
1985         CLEANUP;
1986     }
1987     if (day) {
1988         y = accum("days", x, day, us_per_day, &leftover_us);
1989         CLEANUP;
1990     }
1991     if (week) {
1992         y = accum("weeks", x, week, us_per_week, &leftover_us);
1993         CLEANUP;
1994     }
1995     if (leftover_us) {
1996         /* Round to nearest whole # of us, and add into x. */
1997         PyObject *temp = PyLong_FromLong(round_to_long(leftover_us));
1998         if (temp == NULL) {
1999             Py_DECREF(x);
2000             goto Done;
2001         }
2002         y = PyNumber_Add(x, temp);
2003         Py_DECREF(temp);
2004         CLEANUP;
2005     }
2006 
2007     self = microseconds_to_delta_ex(x, type);
2008     Py_DECREF(x);
2009 Done:
2010     return self;
2011 
2012 #undef CLEANUP
2013 }
2014 
2015 static int
2016 delta_nonzero(PyDateTime_Delta *self)
2017 {
2018     return (GET_TD_DAYS(self) != 0
2019         || GET_TD_SECONDS(self) != 0
2020         || GET_TD_MICROSECONDS(self) != 0);
2021 }
2022 
2023 static PyObject *
2024 delta_repr(PyDateTime_Delta *self)
2025 {
2026     if (GET_TD_MICROSECONDS(self) != 0)
2027         return PyString_FromFormat("%s(%d, %d, %d)",
2028                                    Py_TYPE(self)->tp_name,
2029                                    GET_TD_DAYS(self),
2030                                    GET_TD_SECONDS(self),
2031                                    GET_TD_MICROSECONDS(self));
2032     if (GET_TD_SECONDS(self) != 0)
2033         return PyString_FromFormat("%s(%d, %d)",
2034                                    Py_TYPE(self)->tp_name,
2035                                    GET_TD_DAYS(self),
2036                                    GET_TD_SECONDS(self));
2037 
2038     return PyString_FromFormat("%s(%d)",
2039                                Py_TYPE(self)->tp_name,
2040                                GET_TD_DAYS(self));
2041 }
2042 
2043 static PyObject *
2044 delta_str(PyDateTime_Delta *self)
2045 {
2046     int days = GET_TD_DAYS(self);
2047     int seconds = GET_TD_SECONDS(self);
2048     int us = GET_TD_MICROSECONDS(self);
2049     int hours;
2050     int minutes;
2051     char buf[100];
2052     char *pbuf = buf;
2053     size_t buflen = sizeof(buf);
2054     int n;
2055 
2056     minutes = divmod(seconds, 60, &seconds);
2057     hours = divmod(minutes, 60, &minutes);
2058 
2059     if (days) {
2060         n = PyOS_snprintf(pbuf, buflen, "%d day%s, ", days,
2061                           (days == 1 || days == -1) ? "" : "s");
2062         if (n < 0 || (size_t)n >= buflen)
2063             goto Fail;
2064         pbuf += n;
2065         buflen -= (size_t)n;
2066     }
2067 
2068     n = PyOS_snprintf(pbuf, buflen, "%d:%02d:%02d",
2069                       hours, minutes, seconds);
2070     if (n < 0 || (size_t)n >= buflen)
2071         goto Fail;
2072     pbuf += n;
2073     buflen -= (size_t)n;
2074 
2075     if (us) {
2076         n = PyOS_snprintf(pbuf, buflen, ".%06d", us);
2077         if (n < 0 || (size_t)n >= buflen)
2078             goto Fail;
2079         pbuf += n;
2080     }
2081 
2082     return PyString_FromStringAndSize(buf, pbuf - buf);
2083 
2084  Fail:
2085     PyErr_SetString(PyExc_SystemError, "goofy result from PyOS_snprintf");
2086     return NULL;
2087 }
2088 
2089 /* Pickle support, a simple use of __reduce__. */
2090 
2091 /* __getstate__ isn't exposed */
2092 static PyObject *
2093 delta_getstate(PyDateTime_Delta *self)
2094 {
2095     return Py_BuildValue("iii", GET_TD_DAYS(self),
2096                                 GET_TD_SECONDS(self),
2097                                 GET_TD_MICROSECONDS(self));
2098 }
2099 
2100 static PyObject *
2101 delta_total_seconds(PyObject *self)
2102 {
2103     PyObject *total_seconds;
2104     PyObject *total_microseconds;
2105     PyObject *one_million;
2106 
2107     total_microseconds = delta_to_microseconds((PyDateTime_Delta *)self);
2108     if (total_microseconds == NULL)
2109         return NULL;
2110 
2111     one_million = PyLong_FromLong(1000000L);
2112     if (one_million == NULL) {
2113         Py_DECREF(total_microseconds);
2114         return NULL;
2115     }
2116 
2117     total_seconds = PyNumber_TrueDivide(total_microseconds, one_million);
2118 
2119     Py_DECREF(total_microseconds);
2120     Py_DECREF(one_million);
2121     return total_seconds;
2122 }
2123 
2124 static PyObject *
2125 delta_reduce(PyDateTime_Delta* self)
2126 {
2127     return Py_BuildValue("ON", Py_TYPE(self), delta_getstate(self));
2128 }
2129 
2130 #define OFFSET(field)  offsetof(PyDateTime_Delta, field)
2131 
2132 static PyMemberDef delta_members[] = {
2133 
2134     {"days",         T_INT, OFFSET(days),         READONLY,
2135      PyDoc_STR("Number of days.")},
2136 
2137     {"seconds",      T_INT, OFFSET(seconds),      READONLY,
2138      PyDoc_STR("Number of seconds (>= 0 and less than 1 day).")},
2139 
2140     {"microseconds", T_INT, OFFSET(microseconds), READONLY,
2141      PyDoc_STR("Number of microseconds (>= 0 and less than 1 second).")},
2142     {NULL}
2143 };
2144 
2145 static PyMethodDef delta_methods[] = {
2146     {"total_seconds", (PyCFunction)delta_total_seconds, METH_NOARGS,
2147      PyDoc_STR("Total seconds in the duration.")},
2148 
2149     {"__reduce__", (PyCFunction)delta_reduce, METH_NOARGS,
2150      PyDoc_STR("__reduce__() -> (cls, state)")},
2151 
2152     {NULL,      NULL},
2153 };
2154 
2155 static char delta_doc[] =
2156 PyDoc_STR("Difference between two datetime values.");
2157 
2158 static PyNumberMethods delta_as_number = {
2159     delta_add,                                  /* nb_add */
2160     delta_subtract,                             /* nb_subtract */
2161     delta_multiply,                             /* nb_multiply */
2162     delta_divide,                               /* nb_divide */
2163     0,                                          /* nb_remainder */
2164     0,                                          /* nb_divmod */
2165     0,                                          /* nb_power */
2166     (unaryfunc)delta_negative,                  /* nb_negative */
2167     (unaryfunc)delta_positive,                  /* nb_positive */
2168     (unaryfunc)delta_abs,                       /* nb_absolute */
2169     (inquiry)delta_nonzero,                     /* nb_nonzero */
2170     0,                                          /*nb_invert*/
2171     0,                                          /*nb_lshift*/
2172     0,                                          /*nb_rshift*/
2173     0,                                          /*nb_and*/
2174     0,                                          /*nb_xor*/
2175     0,                                          /*nb_or*/
2176     0,                                          /*nb_coerce*/
2177     0,                                          /*nb_int*/
2178     0,                                          /*nb_long*/
2179     0,                                          /*nb_float*/
2180     0,                                          /*nb_oct*/
2181     0,                                          /*nb_hex*/
2182     0,                                          /*nb_inplace_add*/
2183     0,                                          /*nb_inplace_subtract*/
2184     0,                                          /*nb_inplace_multiply*/
2185     0,                                          /*nb_inplace_divide*/
2186     0,                                          /*nb_inplace_remainder*/
2187     0,                                          /*nb_inplace_power*/
2188     0,                                          /*nb_inplace_lshift*/
2189     0,                                          /*nb_inplace_rshift*/
2190     0,                                          /*nb_inplace_and*/
2191     0,                                          /*nb_inplace_xor*/
2192     0,                                          /*nb_inplace_or*/
2193     delta_divide,                               /* nb_floor_divide */
2194     0,                                          /* nb_true_divide */
2195     0,                                          /* nb_inplace_floor_divide */
2196     0,                                          /* nb_inplace_true_divide */
2197 };
2198 
2199 static PyTypeObject PyDateTime_DeltaType = {
2200     PyVarObject_HEAD_INIT(NULL, 0)
2201     "datetime.timedelta",                               /* tp_name */
2202     sizeof(PyDateTime_Delta),                           /* tp_basicsize */
2203     0,                                                  /* tp_itemsize */
2204     0,                                                  /* tp_dealloc */
2205     0,                                                  /* tp_print */
2206     0,                                                  /* tp_getattr */
2207     0,                                                  /* tp_setattr */
2208     0,                                                  /* tp_compare */
2209     (reprfunc)delta_repr,                               /* tp_repr */
2210     &delta_as_number,                                   /* tp_as_number */
2211     0,                                                  /* tp_as_sequence */
2212     0,                                                  /* tp_as_mapping */
2213     (hashfunc)delta_hash,                               /* tp_hash */
2214     0,                                                  /* tp_call */
2215     (reprfunc)delta_str,                                /* tp_str */
2216     PyObject_GenericGetAttr,                            /* tp_getattro */
2217     0,                                                  /* tp_setattro */
2218     0,                                                  /* tp_as_buffer */
2219     Py_TPFLAGS_DEFAULT | Py_TPFLAGS_CHECKTYPES |
2220         Py_TPFLAGS_BASETYPE,                            /* tp_flags */
2221     delta_doc,                                          /* tp_doc */
2222     0,                                                  /* tp_traverse */
2223     0,                                                  /* tp_clear */
2224     (richcmpfunc)delta_richcompare,                     /* tp_richcompare */
2225     0,                                                  /* tp_weaklistoffset */
2226     0,                                                  /* tp_iter */
2227     0,                                                  /* tp_iternext */
2228     delta_methods,                                      /* tp_methods */
2229     delta_members,                                      /* tp_members */
2230     0,                                                  /* tp_getset */
2231     0,                                                  /* tp_base */
2232     0,                                                  /* tp_dict */
2233     0,                                                  /* tp_descr_get */
2234     0,                                                  /* tp_descr_set */
2235     0,                                                  /* tp_dictoffset */
2236     0,                                                  /* tp_init */
2237     0,                                                  /* tp_alloc */
2238     delta_new,                                          /* tp_new */
2239     0,                                                  /* tp_free */
2240 };
2241 
2242 /*
2243  * PyDateTime_Date implementation.
2244  */
2245 
2246 /* Accessor properties. */
2247 
2248 static PyObject *
2249 date_year(PyDateTime_Date *self, void *unused)
2250 {
2251     return PyInt_FromLong(GET_YEAR(self));
2252 }
2253 
2254 static PyObject *
2255 date_month(PyDateTime_Date *self, void *unused)
2256 {
2257     return PyInt_FromLong(GET_MONTH(self));
2258 }
2259 
2260 static PyObject *
2261 date_day(PyDateTime_Date *self, void *unused)
2262 {
2263     return PyInt_FromLong(GET_DAY(self));
2264 }
2265 
2266 static PyGetSetDef date_getset[] = {
2267     {"year",        (getter)date_year},
2268     {"month",       (getter)date_month},
2269     {"day",         (getter)date_day},
2270     {NULL}
2271 };
2272 
2273 /* Constructors. */
2274 
2275 static char *date_kws[] = {"year", "month", "day", NULL};
2276 
2277 static PyObject *
2278 date_new(PyTypeObject *type, PyObject *args, PyObject *kw)
2279 {
2280     PyObject *self = NULL;
2281     PyObject *state;
2282     int year;
2283     int month;
2284     int day;
2285 
2286     /* Check for invocation from pickle with __getstate__ state */
2287     if (PyTuple_GET_SIZE(args) == 1 &&
2288         PyString_Check(state = PyTuple_GET_ITEM(args, 0)) &&
2289         PyString_GET_SIZE(state) == _PyDateTime_DATE_DATASIZE &&
2290         MONTH_IS_SANE(PyString_AS_STRING(state)[2]))
2291     {
2292         PyDateTime_Date *me;
2293 
2294         me = (PyDateTime_Date *) (type->tp_alloc(type, 0));
2295         if (me != NULL) {
2296             char *pdata = PyString_AS_STRING(state);
2297             memcpy(me->data, pdata, _PyDateTime_DATE_DATASIZE);
2298             me->hashcode = -1;
2299         }
2300         return (PyObject *)me;
2301     }
2302 
2303     if (PyArg_ParseTupleAndKeywords(args, kw, "iii", date_kws,
2304                                     &year, &month, &day)) {
2305         if (check_date_args(year, month, day) < 0)
2306             return NULL;
2307         self = new_date_ex(year, month, day, type);
2308     }
2309     return self;
2310 }
2311 
2312 /* Return new date from localtime(t). */
2313 static PyObject *
2314 date_local_from_time_t(PyObject *cls, double ts)
2315 {
2316     struct tm *tm;
2317     time_t t;
2318     PyObject *result = NULL;
2319 
2320     t = _PyTime_DoubleToTimet(ts);
2321     if (t == (time_t)-1 && PyErr_Occurred())
2322         return NULL;
2323     tm = localtime(&t);
2324     if (tm)
2325         result = PyObject_CallFunction(cls, "iii",
2326                                        tm->tm_year + 1900,
2327                                        tm->tm_mon + 1,
2328                                        tm->tm_mday);
2329     else
2330         PyErr_SetString(PyExc_ValueError,
2331                         "timestamp out of range for "
2332                         "platform localtime() function");
2333     return result;
2334 }
2335 
2336 /* Return new date from current time.
2337  * We say this is equivalent to fromtimestamp(time.time()), and the
2338  * only way to be sure of that is to *call* time.time().  That's not
2339  * generally the same as calling C's time.
2340  */
2341 static PyObject *
2342 date_today(PyObject *cls, PyObject *dummy)
2343 {
2344     PyObject *time;
2345     PyObject *result;
2346 
2347     time = time_time();
2348     if (time == NULL)
2349         return NULL;
2350 
2351     /* Note well:  today() is a class method, so this may not call
2352      * date.fromtimestamp.  For example, it may call
2353      * datetime.fromtimestamp.  That's why we need all the accuracy
2354      * time.time() delivers; if someone were gonzo about optimization,
2355      * date.today() could get away with plain C time().
2356      */
2357     result = PyObject_CallMethod(cls, "fromtimestamp", "O", time);
2358     Py_DECREF(time);
2359     return result;
2360 }
2361 
2362 /* Return new date from given timestamp (Python timestamp -- a double). */
2363 static PyObject *
2364 date_fromtimestamp(PyObject *cls, PyObject *args)
2365 {
2366     double timestamp;
2367     PyObject *result = NULL;
2368 
2369     if (PyArg_ParseTuple(args, "d:fromtimestamp", &timestamp))
2370         result = date_local_from_time_t(cls, timestamp);
2371     return result;
2372 }
2373 
2374 /* Return new date from proleptic Gregorian ordinal.  Raises ValueError if
2375  * the ordinal is out of range.
2376  */
2377 static PyObject *
2378 date_fromordinal(PyObject *cls, PyObject *args)
2379 {
2380     PyObject *result = NULL;
2381     int ordinal;
2382 
2383     if (PyArg_ParseTuple(args, "i:fromordinal", &ordinal)) {
2384         int year;
2385         int month;
2386         int day;
2387 
2388         if (ordinal < 1)
2389             PyErr_SetString(PyExc_ValueError, "ordinal must be "
2390                                               ">= 1");
2391         else {
2392             ord_to_ymd(ordinal, &year, &month, &day);
2393             result = PyObject_CallFunction(cls, "iii",
2394                                            year, month, day);
2395         }
2396     }
2397     return result;
2398 }
2399 
2400 /*
2401  * Date arithmetic.
2402  */
2403 
2404 /* date + timedelta -> date.  If arg negate is true, subtract the timedelta
2405  * instead.
2406  */
2407 static PyObject *
2408 add_date_timedelta(PyDateTime_Date *date, PyDateTime_Delta *delta, int negate)
2409 {
2410     PyObject *result = NULL;
2411     int year = GET_YEAR(date);
2412     int month = GET_MONTH(date);
2413     int deltadays = GET_TD_DAYS(delta);
2414     /* C-level overflow is impossible because |deltadays| < 1e9. */
2415     int day = GET_DAY(date) + (negate ? -deltadays : deltadays);
2416 
2417     if (normalize_date(&year, &month, &day) >= 0)
2418         result = new_date(year, month, day);
2419     return result;
2420 }
2421 
2422 static PyObject *
2423 date_add(PyObject *left, PyObject *right)
2424 {
2425     if (PyDateTime_Check(left) || PyDateTime_Check(right)) {
2426         Py_INCREF(Py_NotImplemented);
2427         return Py_NotImplemented;
2428     }
2429     if (PyDate_Check(left)) {
2430         /* date + ??? */
2431         if (PyDelta_Check(right))
2432             /* date + delta */
2433             return add_date_timedelta((PyDateTime_Date *) left,
2434                                       (PyDateTime_Delta *) right,
2435                                       0);
2436     }
2437     else {
2438         /* ??? + date
2439          * 'right' must be one of us, or we wouldn't have been called
2440          */
2441         if (PyDelta_Check(left))
2442             /* delta + date */
2443             return add_date_timedelta((PyDateTime_Date *) right,
2444                                       (PyDateTime_Delta *) left,
2445                                       0);
2446     }
2447     Py_INCREF(Py_NotImplemented);
2448     return Py_NotImplemented;
2449 }
2450 
2451 static PyObject *
2452 date_subtract(PyObject *left, PyObject *right)
2453 {
2454     if (PyDateTime_Check(left) || PyDateTime_Check(right)) {
2455         Py_INCREF(Py_NotImplemented);
2456         return Py_NotImplemented;
2457     }
2458     if (PyDate_Check(left)) {
2459         if (PyDate_Check(right)) {
2460             /* date - date */
2461             int left_ord = ymd_to_ord(GET_YEAR(left),
2462                                       GET_MONTH(left),
2463                                       GET_DAY(left));
2464             int right_ord = ymd_to_ord(GET_YEAR(right),
2465                                        GET_MONTH(right),
2466                                        GET_DAY(right));
2467             return new_delta(left_ord - right_ord, 0, 0, 0);
2468         }
2469         if (PyDelta_Check(right)) {
2470             /* date - delta */
2471             return add_date_timedelta((PyDateTime_Date *) left,
2472                                       (PyDateTime_Delta *) right,
2473                                       1);
2474         }
2475     }
2476     Py_INCREF(Py_NotImplemented);
2477     return Py_NotImplemented;
2478 }
2479 
2480 
2481 /* Various ways to turn a date into a string. */
2482 
2483 static PyObject *
2484 date_repr(PyDateTime_Date *self)
2485 {
2486     char buffer[1028];
2487     const char *type_name;
2488 
2489     type_name = Py_TYPE(self)->tp_name;
2490     PyOS_snprintf(buffer, sizeof(buffer), "%s(%d, %d, %d)",
2491                   type_name,
2492                   GET_YEAR(self), GET_MONTH(self), GET_DAY(self));
2493 
2494     return PyString_FromString(buffer);
2495 }
2496 
2497 static PyObject *
2498 date_isoformat(PyDateTime_Date *self)
2499 {
2500     char buffer[128];
2501 
2502     isoformat_date(self, buffer, sizeof(buffer));
2503     return PyString_FromString(buffer);
2504 }
2505 
2506 /* str() calls the appropriate isoformat() method. */
2507 static PyObject *
2508 date_str(PyDateTime_Date *self)
2509 {
2510     return PyObject_CallMethod((PyObject *)self, "isoformat", "()");
2511 }
2512 
2513 
2514 static PyObject *
2515 date_ctime(PyDateTime_Date *self)
2516 {
2517     return format_ctime(self, 0, 0, 0);
2518 }
2519 
2520 static PyObject *
2521 date_strftime(PyDateTime_Date *self, PyObject *args, PyObject *kw)
2522 {
2523     /* This method can be inherited, and needs to call the
2524      * timetuple() method appropriate to self's class.
2525      */
2526     PyObject *result;
2527     PyObject *tuple;
2528     const char *format;
2529     Py_ssize_t format_len;
2530     static char *keywords[] = {"format", NULL};
2531 
2532     if (! PyArg_ParseTupleAndKeywords(args, kw, "s#:strftime", keywords,
2533                                       &format, &format_len))
2534         return NULL;
2535 
2536     tuple = PyObject_CallMethod((PyObject *)self, "timetuple", "()");
2537     if (tuple == NULL)
2538         return NULL;
2539     result = wrap_strftime((PyObject *)self, format, format_len, tuple,
2540                            (PyObject *)self);
2541     Py_DECREF(tuple);
2542     return result;
2543 }
2544 
2545 static PyObject *
2546 date_format(PyDateTime_Date *self, PyObject *args)
2547 {
2548     PyObject *format;
2549 
2550     if (!PyArg_ParseTuple(args, "O:__format__", &format))
2551         return NULL;
2552 
2553     /* Check for str or unicode */
2554     if (PyString_Check(format)) {
2555         /* If format is zero length, return str(self) */
2556         if (PyString_GET_SIZE(format) == 0)
2557             return PyObject_Str((PyObject *)self);
2558     } else if (PyUnicode_Check(format)) {
2559         /* If format is zero length, return str(self) */
2560         if (PyUnicode_GET_SIZE(format) == 0)
2561             return PyObject_Unicode((PyObject *)self);
2562     } else {
2563         PyErr_Format(PyExc_ValueError,
2564                      "__format__ expects str or unicode, not %.200s",
2565                      Py_TYPE(format)->tp_name);
2566         return NULL;
2567     }
2568     return PyObject_CallMethod((PyObject *)self, "strftime", "O", format);
2569 }
2570 
2571 /* ISO methods. */
2572 
2573 static PyObject *
2574 date_isoweekday(PyDateTime_Date *self)
2575 {
2576     int dow = weekday(GET_YEAR(self), GET_MONTH(self), GET_DAY(self));
2577 
2578     return PyInt_FromLong(dow + 1);
2579 }
2580 
2581 static PyObject *
2582 date_isocalendar(PyDateTime_Date *self)
2583 {
2584     int  year         = GET_YEAR(self);
2585     int  week1_monday = iso_week1_monday(year);
2586     int today         = ymd_to_ord(year, GET_MONTH(self), GET_DAY(self));
2587     int  week;
2588     int  day;
2589 
2590     week = divmod(today - week1_monday, 7, &day);
2591     if (week < 0) {
2592         --year;
2593         week1_monday = iso_week1_monday(year);
2594         week = divmod(today - week1_monday, 7, &day);
2595     }
2596     else if (week >= 52 && today >= iso_week1_monday(year + 1)) {
2597         ++year;
2598         week = 0;
2599     }
2600     return Py_BuildValue("iii", year, week + 1, day + 1);
2601 }
2602 
2603 /* Miscellaneous methods. */
2604 
2605 /* This is more natural as a tp_compare, but doesn't work then:  for whatever
2606  * reason, Python's try_3way_compare ignores tp_compare unless
2607  * PyInstance_Check returns true, but these aren't old-style classes.
2608  */
2609 static PyObject *
2610 date_richcompare(PyDateTime_Date *self, PyObject *other, int op)
2611 {
2612     int diff = 42;      /* nonsense */
2613 
2614     if (PyDate_Check(other))
2615         diff = memcmp(self->data, ((PyDateTime_Date *)other)->data,
2616                       _PyDateTime_DATE_DATASIZE);
2617 
2618     else if (PyObject_HasAttrString(other, "timetuple")) {
2619         /* A hook for other kinds of date objects. */
2620         Py_INCREF(Py_NotImplemented);
2621         return Py_NotImplemented;
2622     }
2623     else if (op == Py_EQ || op == Py_NE)
2624         diff = 1;               /* any non-zero value will do */
2625 
2626     else /* stop this from falling back to address comparison */
2627         return cmperror((PyObject *)self, other);
2628 
2629     return diff_to_bool(diff, op);
2630 }
2631 
2632 static PyObject *
2633 date_timetuple(PyDateTime_Date *self)
2634 {
2635     return build_struct_time(GET_YEAR(self),
2636                              GET_MONTH(self),
2637                              GET_DAY(self),
2638                              0, 0, 0, -1);
2639 }
2640 
2641 static PyObject *
2642 date_replace(PyDateTime_Date *self, PyObject *args, PyObject *kw)
2643 {
2644     PyObject *clone;
2645     PyObject *tuple;
2646     int year = GET_YEAR(self);
2647     int month = GET_MONTH(self);
2648     int day = GET_DAY(self);
2649 
2650     if (! PyArg_ParseTupleAndKeywords(args, kw, "|iii:replace", date_kws,
2651                                       &year, &month, &day))
2652         return NULL;
2653     tuple = Py_BuildValue("iii", year, month, day);
2654     if (tuple == NULL)
2655         return NULL;
2656     clone = date_new(Py_TYPE(self), tuple, NULL);
2657     Py_DECREF(tuple);
2658     return clone;
2659 }
2660 
2661 static PyObject *date_getstate(PyDateTime_Date *self);
2662 
2663 static long
2664 date_hash(PyDateTime_Date *self)
2665 {
2666     if (self->hashcode == -1) {
2667         PyObject *temp = date_getstate(self);
2668         if (temp != NULL) {
2669             self->hashcode = PyObject_Hash(temp);
2670             Py_DECREF(temp);
2671         }
2672     }
2673     return self->hashcode;
2674 }
2675 
2676 static PyObject *
2677 date_toordinal(PyDateTime_Date *self)
2678 {
2679     return PyInt_FromLong(ymd_to_ord(GET_YEAR(self), GET_MONTH(self),
2680                                      GET_DAY(self)));
2681 }
2682 
2683 static PyObject *
2684 date_weekday(PyDateTime_Date *self)
2685 {
2686     int dow = weekday(GET_YEAR(self), GET_MONTH(self), GET_DAY(self));
2687 
2688     return PyInt_FromLong(dow);
2689 }
2690 
2691 /* Pickle support, a simple use of __reduce__. */
2692 
2693 /* __getstate__ isn't exposed */
2694 static PyObject *
2695 date_getstate(PyDateTime_Date *self)
2696 {
2697     return Py_BuildValue(
2698         "(N)",
2699         PyString_FromStringAndSize((char *)self->data,
2700                                    _PyDateTime_DATE_DATASIZE));
2701 }
2702 
2703 static PyObject *
2704 date_reduce(PyDateTime_Date *self, PyObject *arg)
2705 {
2706     return Py_BuildValue("(ON)", Py_TYPE(self), date_getstate(self));
2707 }
2708 
2709 static PyMethodDef date_methods[] = {
2710 
2711     /* Class methods: */
2712 
2713     {"fromtimestamp", (PyCFunction)date_fromtimestamp, METH_VARARGS |
2714                                                        METH_CLASS,
2715      PyDoc_STR("timestamp -> local date from a POSIX timestamp (like "
2716                "time.time()).")},
2717 
2718     {"fromordinal", (PyCFunction)date_fromordinal,      METH_VARARGS |
2719                                                     METH_CLASS,
2720      PyDoc_STR("int -> date corresponding to a proleptic Gregorian "
2721                "ordinal.")},
2722 
2723     {"today",         (PyCFunction)date_today,   METH_NOARGS | METH_CLASS,
2724      PyDoc_STR("Current date or datetime:  same as "
2725                "self.__class__.fromtimestamp(time.time()).")},
2726 
2727     /* Instance methods: */
2728 
2729     {"ctime",       (PyCFunction)date_ctime,        METH_NOARGS,
2730      PyDoc_STR("Return ctime() style string.")},
2731 
2732     {"strftime",        (PyCFunction)date_strftime,     METH_VARARGS | METH_KEYWORDS,
2733      PyDoc_STR("format -> strftime() style string.")},
2734 
2735     {"__format__",      (PyCFunction)date_format,       METH_VARARGS,
2736      PyDoc_STR("Formats self with strftime.")},
2737 
2738     {"timetuple",   (PyCFunction)date_timetuple,    METH_NOARGS,
2739      PyDoc_STR("Return time tuple, compatible with time.localtime().")},
2740 
2741     {"isocalendar", (PyCFunction)date_isocalendar,  METH_NOARGS,
2742      PyDoc_STR("Return a 3-tuple containing ISO year, week number, and "
2743                "weekday.")},
2744 
2745     {"isoformat",   (PyCFunction)date_isoformat,        METH_NOARGS,
2746      PyDoc_STR("Return string in ISO 8601 format, YYYY-MM-DD.")},
2747 
2748     {"isoweekday",  (PyCFunction)date_isoweekday,   METH_NOARGS,
2749      PyDoc_STR("Return the day of the week represented by the date.\n"
2750                "Monday == 1 ... Sunday == 7")},
2751 
2752     {"toordinal",   (PyCFunction)date_toordinal,    METH_NOARGS,
2753      PyDoc_STR("Return proleptic Gregorian ordinal.  January 1 of year "
2754                "1 is day 1.")},
2755 
2756     {"weekday",     (PyCFunction)date_weekday,      METH_NOARGS,
2757      PyDoc_STR("Return the day of the week represented by the date.\n"
2758                "Monday == 0 ... Sunday == 6")},
2759 
2760     {"replace",     (PyCFunction)date_replace,      METH_VARARGS | METH_KEYWORDS,
2761      PyDoc_STR("Return date with new specified fields.")},
2762 
2763     {"__reduce__", (PyCFunction)date_reduce,        METH_NOARGS,
2764      PyDoc_STR("__reduce__() -> (cls, state)")},
2765 
2766     {NULL,      NULL}
2767 };
2768 
2769 static char date_doc[] =
2770 PyDoc_STR("date(year, month, day) --> date object");
2771 
2772 static PyNumberMethods date_as_number = {
2773     date_add,                                           /* nb_add */
2774     date_subtract,                                      /* nb_subtract */
2775     0,                                                  /* nb_multiply */
2776     0,                                                  /* nb_divide */
2777     0,                                                  /* nb_remainder */
2778     0,                                                  /* nb_divmod */
2779     0,                                                  /* nb_power */
2780     0,                                                  /* nb_negative */
2781     0,                                                  /* nb_positive */
2782     0,                                                  /* nb_absolute */
2783     0,                                                  /* nb_nonzero */
2784 };
2785 
2786 static PyTypeObject PyDateTime_DateType = {
2787     PyVarObject_HEAD_INIT(NULL, 0)
2788     "datetime.date",                                    /* tp_name */
2789     sizeof(PyDateTime_Date),                            /* tp_basicsize */
2790     0,                                                  /* tp_itemsize */
2791     0,                                                  /* tp_dealloc */
2792     0,                                                  /* tp_print */
2793     0,                                                  /* tp_getattr */
2794     0,                                                  /* tp_setattr */
2795     0,                                                  /* tp_compare */
2796     (reprfunc)date_repr,                                /* tp_repr */
2797     &date_as_number,                                    /* tp_as_number */
2798     0,                                                  /* tp_as_sequence */
2799     0,                                                  /* tp_as_mapping */
2800     (hashfunc)date_hash,                                /* tp_hash */
2801     0,                                                  /* tp_call */
2802     (reprfunc)date_str,                                 /* tp_str */
2803     PyObject_GenericGetAttr,                            /* tp_getattro */
2804     0,                                                  /* tp_setattro */
2805     0,                                                  /* tp_as_buffer */
2806     Py_TPFLAGS_DEFAULT | Py_TPFLAGS_CHECKTYPES |
2807     Py_TPFLAGS_BASETYPE,                                /* tp_flags */
2808     date_doc,                                           /* tp_doc */
2809     0,                                                  /* tp_traverse */
2810     0,                                                  /* tp_clear */
2811     (richcmpfunc)date_richcompare,                      /* tp_richcompare */
2812     0,                                                  /* tp_weaklistoffset */
2813     0,                                                  /* tp_iter */
2814     0,                                                  /* tp_iternext */
2815     date_methods,                                       /* tp_methods */
2816     0,                                                  /* tp_members */
2817     date_getset,                                        /* tp_getset */
2818     0,                                                  /* tp_base */
2819     0,                                                  /* tp_dict */
2820     0,                                                  /* tp_descr_get */
2821     0,                                                  /* tp_descr_set */
2822     0,                                                  /* tp_dictoffset */
2823     0,                                                  /* tp_init */
2824     0,                                                  /* tp_alloc */
2825     date_new,                                           /* tp_new */
2826     0,                                                  /* tp_free */
2827 };
2828 
2829 /*
2830  * PyDateTime_TZInfo implementation.
2831  */
2832 
2833 /* This is a pure abstract base class, so doesn't do anything beyond
2834  * raising NotImplemented exceptions.  Real tzinfo classes need
2835  * to derive from this.  This is mostly for clarity, and for efficiency in
2836  * datetime and time constructors (their tzinfo arguments need to
2837  * be subclasses of this tzinfo class, which is easy and quick to check).
2838  *
2839  * Note:  For reasons having to do with pickling of subclasses, we have
2840  * to allow tzinfo objects to be instantiated.  This wasn't an issue
2841  * in the Python implementation (__init__() could raise NotImplementedError
2842  * there without ill effect), but doing so in the C implementation hit a
2843  * brick wall.
2844  */
2845 
2846 static PyObject *
2847 tzinfo_nogo(const char* methodname)
2848 {
2849     PyErr_Format(PyExc_NotImplementedError,
2850                  "a tzinfo subclass must implement %s()",
2851                  methodname);
2852     return NULL;
2853 }
2854 
2855 /* Methods.  A subclass must implement these. */
2856 
2857 static PyObject *
2858 tzinfo_tzname(PyDateTime_TZInfo *self, PyObject *dt)
2859 {
2860     return tzinfo_nogo("tzname");
2861 }
2862 
2863 static PyObject *
2864 tzinfo_utcoffset(PyDateTime_TZInfo *self, PyObject *dt)
2865 {
2866     return tzinfo_nogo("utcoffset");
2867 }
2868 
2869 static PyObject *
2870 tzinfo_dst(PyDateTime_TZInfo *self, PyObject *dt)
2871 {
2872     return tzinfo_nogo("dst");
2873 }
2874 
2875 static PyObject *
2876 tzinfo_fromutc(PyDateTime_TZInfo *self, PyDateTime_DateTime *dt)
2877 {
2878     int y, m, d, hh, mm, ss, us;
2879 
2880     PyObject *result;
2881     int off, dst;
2882     int none;
2883     int delta;
2884 
2885     if (! PyDateTime_Check(dt)) {
2886         PyErr_SetString(PyExc_TypeError,
2887                         "fromutc: argument must be a datetime");
2888         return NULL;
2889     }
2890     if (! HASTZINFO(dt) || dt->tzinfo != (PyObject *)self) {
2891         PyErr_SetString(PyExc_ValueError, "fromutc: dt.tzinfo "
2892                         "is not self");
2893         return NULL;
2894     }
2895 
2896     off = call_utcoffset(dt->tzinfo, (PyObject *)dt, &none);
2897     if (off == -1 && PyErr_Occurred())
2898         return NULL;
2899     if (none) {
2900         PyErr_SetString(PyExc_ValueError, "fromutc: non-None "
2901                         "utcoffset() result required");
2902         return NULL;
2903     }
2904 
2905     dst = call_dst(dt->tzinfo, (PyObject *)dt, &none);
2906     if (dst == -1 && PyErr_Occurred())
2907         return NULL;
2908     if (none) {
2909         PyErr_SetString(PyExc_ValueError, "fromutc: non-None "
2910                         "dst() result required");
2911         return NULL;
2912     }
2913 
2914     y = GET_YEAR(dt);
2915     m = GET_MONTH(dt);
2916     d = GET_DAY(dt);
2917     hh = DATE_GET_HOUR(dt);
2918     mm = DATE_GET_MINUTE(dt);
2919     ss = DATE_GET_SECOND(dt);
2920     us = DATE_GET_MICROSECOND(dt);
2921 
2922     delta = off - dst;
2923     mm += delta;
2924     if ((mm < 0 || mm >= 60) &&
2925         normalize_datetime(&y, &m, &d, &hh, &mm, &ss, &us) < 0)
2926         return NULL;
2927     result = new_datetime(y, m, d, hh, mm, ss, us, dt->tzinfo);
2928     if (result == NULL)
2929         return result;
2930 
2931     dst = call_dst(dt->tzinfo, result, &none);
2932     if (dst == -1 && PyErr_Occurred())
2933         goto Fail;
2934     if (none)
2935         goto Inconsistent;
2936     if (dst == 0)
2937         return result;
2938 
2939     mm += dst;
2940     if ((mm < 0 || mm >= 60) &&
2941         normalize_datetime(&y, &m, &d, &hh, &mm, &ss, &us) < 0)
2942         goto Fail;
2943     Py_DECREF(result);
2944     result = new_datetime(y, m, d, hh, mm, ss, us, dt->tzinfo);
2945     return result;
2946 
2947 Inconsistent:
2948     PyErr_SetString(PyExc_ValueError, "fromutc: tz.dst() gave"
2949                     "inconsistent results; cannot convert");
2950 
2951     /* fall thru to failure */
2952 Fail:
2953     Py_DECREF(result);
2954     return NULL;
2955 }
2956 
2957 /*
2958  * Pickle support.  This is solely so that tzinfo subclasses can use
2959  * pickling -- tzinfo itself is supposed to be uninstantiable.
2960  */
2961 
2962 static PyObject *
2963 tzinfo_reduce(PyObject *self)
2964 {
2965     PyObject *args, *state, *tmp;
2966     PyObject *getinitargs, *getstate;
2967 
2968     tmp = PyTuple_New(0);
2969     if (tmp == NULL)
2970         return NULL;
2971 
2972     getinitargs = PyObject_GetAttrString(self, "__getinitargs__");
2973     if (getinitargs != NULL) {
2974         args = PyObject_CallObject(getinitargs, tmp);
2975         Py_DECREF(getinitargs);
2976         if (args == NULL) {
2977             Py_DECREF(tmp);
2978             return NULL;
2979         }
2980     }
2981     else {
2982         PyErr_Clear();
2983         args = tmp;
2984         Py_INCREF(args);
2985     }
2986 
2987     getstate = PyObject_GetAttrString(self, "__getstate__");
2988     if (getstate != NULL) {
2989         state = PyObject_CallObject(getstate, tmp);
2990         Py_DECREF(getstate);
2991         if (state == NULL) {
2992             Py_DECREF(args);
2993             Py_DECREF(tmp);
2994             return NULL;
2995         }
2996     }
2997     else {
2998         PyObject **dictptr;
2999         PyErr_Clear();
3000         state = Py_None;
3001         dictptr = _PyObject_GetDictPtr(self);
3002         if (dictptr && *dictptr && PyDict_Size(*dictptr))
3003             state = *dictptr;
3004         Py_INCREF(state);
3005     }
3006 
3007     Py_DECREF(tmp);
3008 
3009     if (state == Py_None) {
3010         Py_DECREF(state);
3011         return Py_BuildValue("(ON)", Py_TYPE(self), args);
3012     }
3013     else
3014         return Py_BuildValue("(ONN)", Py_TYPE(self), args, state);
3015 }
3016 
3017 static PyMethodDef tzinfo_methods[] = {
3018 
3019     {"tzname",          (PyCFunction)tzinfo_tzname,             METH_O,
3020      PyDoc_STR("datetime -> string name of time zone.")},
3021 
3022     {"utcoffset",       (PyCFunction)tzinfo_utcoffset,          METH_O,
3023      PyDoc_STR("datetime -> minutes east of UTC (negative for "
3024                "west of UTC).")},
3025 
3026     {"dst",             (PyCFunction)tzinfo_dst,                METH_O,
3027      PyDoc_STR("datetime -> DST offset in minutes east of UTC.")},
3028 
3029     {"fromutc",         (PyCFunction)tzinfo_fromutc,            METH_O,
3030      PyDoc_STR("datetime in UTC -> datetime in local time.")},
3031 
3032     {"__reduce__",  (PyCFunction)tzinfo_reduce,             METH_NOARGS,
3033      PyDoc_STR("-> (cls, state)")},
3034 
3035     {NULL, NULL}
3036 };
3037 
3038 static char tzinfo_doc[] =
3039 PyDoc_STR("Abstract base class for time zone info objects.");
3040 
3041 statichere PyTypeObject PyDateTime_TZInfoType = {
3042     PyObject_HEAD_INIT(NULL)
3043     0,                                          /* ob_size */
3044     "datetime.tzinfo",                          /* tp_name */
3045     sizeof(PyDateTime_TZInfo),                  /* tp_basicsize */
3046     0,                                          /* tp_itemsize */
3047     0,                                          /* tp_dealloc */
3048     0,                                          /* tp_print */
3049     0,                                          /* tp_getattr */
3050     0,                                          /* tp_setattr */
3051     0,                                          /* tp_compare */
3052     0,                                          /* tp_repr */
3053     0,                                          /* tp_as_number */
3054     0,                                          /* tp_as_sequence */
3055     0,                                          /* tp_as_mapping */
3056     0,                                          /* tp_hash */
3057     0,                                          /* tp_call */
3058     0,                                          /* tp_str */
3059     PyObject_GenericGetAttr,                    /* tp_getattro */
3060     0,                                          /* tp_setattro */
3061     0,                                          /* tp_as_buffer */
3062     Py_TPFLAGS_DEFAULT | Py_TPFLAGS_CHECKTYPES |
3063     Py_TPFLAGS_BASETYPE,                        /* tp_flags */
3064     tzinfo_doc,                                 /* tp_doc */
3065     0,                                          /* tp_traverse */
3066     0,                                          /* tp_clear */
3067     0,                                          /* tp_richcompare */
3068     0,                                          /* tp_weaklistoffset */
3069     0,                                          /* tp_iter */
3070     0,                                          /* tp_iternext */
3071     tzinfo_methods,                             /* tp_methods */
3072     0,                                          /* tp_members */
3073     0,                                          /* tp_getset */
3074     0,                                          /* tp_base */
3075     0,                                          /* tp_dict */
3076     0,                                          /* tp_descr_get */
3077     0,                                          /* tp_descr_set */
3078     0,                                          /* tp_dictoffset */
3079     0,                                          /* tp_init */
3080     0,                                          /* tp_alloc */
3081     PyType_GenericNew,                          /* tp_new */
3082     0,                                          /* tp_free */
3083 };
3084 
3085 /*
3086  * PyDateTime_Time implementation.
3087  */
3088 
3089 /* Accessor properties.
3090  */
3091 
3092 static PyObject *
3093 time_hour(PyDateTime_Time *self, void *unused)
3094 {
3095     return PyInt_FromLong(TIME_GET_HOUR(self));
3096 }
3097 
3098 static PyObject *
3099 time_minute(PyDateTime_Time *self, void *unused)
3100 {
3101     return PyInt_FromLong(TIME_GET_MINUTE(self));
3102 }
3103 
3104 /* The name time_second conflicted with some platform header file. */
3105 static PyObject *
3106 py_time_second(PyDateTime_Time *self, void *unused)
3107 {
3108     return PyInt_FromLong(TIME_GET_SECOND(self));
3109 }
3110 
3111 static PyObject *
3112 time_microsecond(PyDateTime_Time *self, void *unused)
3113 {
3114     return PyInt_FromLong(TIME_GET_MICROSECOND(self));
3115 }
3116 
3117 static PyObject *
3118 time_tzinfo(PyDateTime_Time *self, void *unused)
3119 {
3120     PyObject *result = HASTZINFO(self) ? self->tzinfo : Py_None;
3121     Py_INCREF(result);
3122     return result;
3123 }
3124 
3125 static PyGetSetDef time_getset[] = {
3126     {"hour",        (getter)time_hour},
3127     {"minute",      (getter)time_minute},
3128     {"second",      (getter)py_time_second},
3129     {"microsecond", (getter)time_microsecond},
3130     {"tzinfo",          (getter)time_tzinfo},
3131     {NULL}
3132 };
3133 
3134 /*
3135  * Constructors.
3136  */
3137 
3138 static char *time_kws[] = {"hour", "minute", "second", "microsecond",
3139                            "tzinfo", NULL};
3140 
3141 static PyObject *
3142 time_new(PyTypeObject *type, PyObject *args, PyObject *kw)
3143 {
3144     PyObject *self = NULL;
3145     PyObject *state;
3146     int hour = 0;
3147     int minute = 0;
3148     int second = 0;
3149     int usecond = 0;
3150     PyObject *tzinfo = Py_None;
3151 
3152     /* Check for invocation from pickle with __getstate__ state */
3153     if (PyTuple_GET_SIZE(args) >= 1 &&
3154         PyTuple_GET_SIZE(args) <= 2 &&
3155         PyString_Check(state = PyTuple_GET_ITEM(args, 0)) &&
3156         PyString_GET_SIZE(state) == _PyDateTime_TIME_DATASIZE &&
3157         ((unsigned char) (PyString_AS_STRING(state)[0])) < 24)
3158     {
3159         PyDateTime_Time *me;
3160         char aware;
3161 
3162         if (PyTuple_GET_SIZE(args) == 2) {
3163             tzinfo = PyTuple_GET_ITEM(args, 1);
3164             if (check_tzinfo_subclass(tzinfo) < 0) {
3165                 PyErr_SetString(PyExc_TypeError, "bad "
3166                     "tzinfo state arg");
3167                 return NULL;
3168             }
3169         }
3170         aware = (char)(tzinfo != Py_None);
3171         me = (PyDateTime_Time *) (type->tp_alloc(type, aware));
3172         if (me != NULL) {
3173             char *pdata = PyString_AS_STRING(state);
3174 
3175             memcpy(me->data, pdata, _PyDateTime_TIME_DATASIZE);
3176             me->hashcode = -1;
3177             me->hastzinfo = aware;
3178             if (aware) {
3179                 Py_INCREF(tzinfo);
3180                 me->tzinfo = tzinfo;
3181             }
3182         }
3183         return (PyObject *)me;
3184     }
3185 
3186     if (PyArg_ParseTupleAndKeywords(args, kw, "|iiiiO", time_kws,
3187                                     &hour, &minute, &second, &usecond,
3188                                     &tzinfo)) {
3189         if (check_time_args(hour, minute, second, usecond) < 0)
3190             return NULL;
3191         if (check_tzinfo_subclass(tzinfo) < 0)
3192             return NULL;
3193         self = new_time_ex(hour, minute, second, usecond, tzinfo,
3194                            type);
3195     }
3196     return self;
3197 }
3198 
3199 /*
3200  * Destructor.
3201  */
3202 
3203 static void
3204 time_dealloc(PyDateTime_Time *self)
3205 {
3206     if (HASTZINFO(self)) {
3207         Py_XDECREF(self->tzinfo);
3208     }
3209     Py_TYPE(self)->tp_free((PyObject *)self);
3210 }
3211 
3212 /*
3213  * Indirect access to tzinfo methods.
3214  */
3215 
3216 /* These are all METH_NOARGS, so don't need to check the arglist. */
3217 static PyObject *
3218 time_utcoffset(PyDateTime_Time *self, PyObject *unused) {
3219     return offset_as_timedelta(HASTZINFO(self) ? self->tzinfo : Py_None,
3220                                "utcoffset", Py_None);
3221 }
3222 
3223 static PyObject *
3224 time_dst(PyDateTime_Time *self, PyObject *unused) {
3225     return offset_as_timedelta(HASTZINFO(self) ? self->tzinfo : Py_None,
3226                                "dst", Py_None);
3227 }
3228 
3229 static PyObject *
3230 time_tzname(PyDateTime_Time *self, PyObject *unused) {
3231     return call_tzname(HASTZINFO(self) ? self->tzinfo : Py_None,
3232                        Py_None);
3233 }
3234 
3235 /*
3236  * Various ways to turn a time into a string.
3237  */
3238 
3239 static PyObject *
3240 time_repr(PyDateTime_Time *self)
3241 {
3242     char buffer[100];
3243     const char *type_name = Py_TYPE(self)->tp_name;
3244     int h = TIME_GET_HOUR(self);
3245     int m = TIME_GET_MINUTE(self);
3246     int s = TIME_GET_SECOND(self);
3247     int us = TIME_GET_MICROSECOND(self);
3248     PyObject *result = NULL;
3249 
3250     if (us)
3251         PyOS_snprintf(buffer, sizeof(buffer),
3252                       "%s(%d, %d, %d, %d)", type_name, h, m, s, us);
3253     else if (s)
3254         PyOS_snprintf(buffer, sizeof(buffer),
3255                       "%s(%d, %d, %d)", type_name, h, m, s);
3256     else
3257         PyOS_snprintf(buffer, sizeof(buffer),
3258                       "%s(%d, %d)", type_name, h, m);
3259     result = PyString_FromString(buffer);
3260     if (result != NULL && HASTZINFO(self))
3261         result = append_keyword_tzinfo(result, self->tzinfo);
3262     return result;
3263 }
3264 
3265 static PyObject *
3266 time_str(PyDateTime_Time *self)
3267 {
3268     return PyObject_CallMethod((PyObject *)self, "isoformat", "()");
3269 }
3270 
3271 static PyObject *
3272 time_isoformat(PyDateTime_Time *self, PyObject *unused)
3273 {
3274     char buf[100];
3275     PyObject *result;
3276     /* Reuse the time format code from the datetime type. */
3277     PyDateTime_DateTime datetime;
3278     PyDateTime_DateTime *pdatetime = &datetime;
3279 
3280     /* Copy over just the time bytes. */
3281     memcpy(pdatetime->data + _PyDateTime_DATE_DATASIZE,
3282            self->data,
3283            _PyDateTime_TIME_DATASIZE);
3284 
3285     isoformat_time(pdatetime, buf, sizeof(buf));
3286     result = PyString_FromString(buf);
3287     if (result == NULL || ! HASTZINFO(self) || self->tzinfo == Py_None)
3288         return result;
3289 
3290     /* We need to append the UTC offset. */
3291     if (format_utcoffset(buf, sizeof(buf), ":", self->tzinfo,
3292                          Py_None) < 0) {
3293         Py_DECREF(result);
3294         return NULL;
3295     }
3296     PyString_ConcatAndDel(&result, PyString_FromString(buf));
3297     return result;
3298 }
3299 
3300 static PyObject *
3301 time_strftime(PyDateTime_Time *self, PyObject *args, PyObject *kw)
3302 {
3303     PyObject *result;
3304     PyObject *tuple;
3305     const char *format;
3306     Py_ssize_t format_len;
3307     static char *keywords[] = {"format", NULL};
3308 
3309     if (! PyArg_ParseTupleAndKeywords(args, kw, "s#:strftime", keywords,
3310                                       &format, &format_len))
3311         return NULL;
3312 
3313     /* Python's strftime does insane things with the year part of the
3314      * timetuple.  The year is forced to (the otherwise nonsensical)
3315      * 1900 to worm around that.
3316      */
3317     tuple = Py_BuildValue("iiiiiiiii",
3318                           1900, 1, 1, /* year, month, day */
3319                   TIME_GET_HOUR(self),
3320                   TIME_GET_MINUTE(self),
3321                   TIME_GET_SECOND(self),
3322                   0, 1, -1); /* weekday, daynum, dst */
3323     if (tuple == NULL)
3324         return NULL;
3325     assert(PyTuple_Size(tuple) == 9);
3326     result = wrap_strftime((PyObject *)self, format, format_len, tuple,
3327                            Py_None);
3328     Py_DECREF(tuple);
3329     return result;
3330 }
3331 
3332 /*
3333  * Miscellaneous methods.
3334  */
3335 
3336 /* This is more natural as a tp_compare, but doesn't work then:  for whatever
3337  * reason, Python's try_3way_compare ignores tp_compare unless
3338  * PyInstance_Check returns true, but these aren't old-style classes.
3339  */
3340 static PyObject *
3341 time_richcompare(PyDateTime_Time *self, PyObject *other, int op)
3342 {
3343     int diff;
3344     naivety n1, n2;
3345     int offset1, offset2;
3346 
3347     if (! PyTime_Check(other)) {
3348         if (op == Py_EQ || op == Py_NE) {
3349             PyObject *result = op == Py_EQ ? Py_False : Py_True;
3350             Py_INCREF(result);
3351             return result;
3352         }
3353         /* Stop this from falling back to address comparison. */
3354         return cmperror((PyObject *)self, other);
3355     }
3356     if (classify_two_utcoffsets((PyObject *)self, &offset1, &n1, Py_None,
3357                                  other, &offset2, &n2, Py_None) < 0)
3358         return NULL;
3359     assert(n1 != OFFSET_UNKNOWN && n2 != OFFSET_UNKNOWN);
3360     /* If they're both naive, or both aware and have the same offsets,
3361      * we get off cheap.  Note that if they're both naive, offset1 ==
3362      * offset2 == 0 at this point.
3363      */
3364     if (n1 == n2 && offset1 == offset2) {
3365         diff = memcmp(self->data, ((PyDateTime_Time *)other)->data,
3366                       _PyDateTime_TIME_DATASIZE);
3367         return diff_to_bool(diff, op);
3368     }
3369 
3370     if (n1 == OFFSET_AWARE && n2 == OFFSET_AWARE) {
3371         assert(offset1 != offset2);             /* else last "if" handled it */
3372         /* Convert everything except microseconds to seconds.  These
3373          * can't overflow (no more than the # of seconds in 2 days).
3374          */
3375         offset1 = TIME_GET_HOUR(self) * 3600 +
3376                   (TIME_GET_MINUTE(self) - offset1) * 60 +
3377                   TIME_GET_SECOND(self);
3378         offset2 = TIME_GET_HOUR(other) * 3600 +
3379                   (TIME_GET_MINUTE(other) - offset2) * 60 +
3380                   TIME_GET_SECOND(other);
3381         diff = offset1 - offset2;
3382         if (diff == 0)
3383             diff = TIME_GET_MICROSECOND(self) -
3384                    TIME_GET_MICROSECOND(other);
3385         return diff_to_bool(diff, op);
3386     }
3387 
3388     assert(n1 != n2);
3389     PyErr_SetString(PyExc_TypeError,
3390                     "can't compare offset-naive and "
3391                     "offset-aware times");
3392     return NULL;
3393 }
3394 
3395 static long
3396 time_hash(PyDateTime_Time *self)
3397 {
3398     if (self->hashcode == -1) {
3399         naivety n;
3400         int offset;
3401         PyObject *temp;
3402 
3403         n = classify_utcoffset((PyObject *)self, Py_None, &offset);
3404         assert(n != OFFSET_UNKNOWN);
3405         if (n == OFFSET_ERROR)
3406             return -1;
3407 
3408         /* Reduce this to a hash of another object. */
3409         if (offset == 0)
3410             temp = PyString_FromStringAndSize((char *)self->data,
3411                                     _PyDateTime_TIME_DATASIZE);
3412         else {
3413             int hour;
3414             int minute;
3415 
3416             assert(n == OFFSET_AWARE);
3417             assert(HASTZINFO(self));
3418             hour = divmod(TIME_GET_HOUR(self) * 60 +
3419                             TIME_GET_MINUTE(self) - offset,
3420                           60,
3421                           &minute);
3422             if (0 <= hour && hour < 24)
3423                 temp = new_time(hour, minute,
3424                                 TIME_GET_SECOND(self),
3425                                 TIME_GET_MICROSECOND(self),
3426                                 Py_None);
3427             else
3428                 temp = Py_BuildValue("iiii",
3429                            hour, minute,
3430                            TIME_GET_SECOND(self),
3431                            TIME_GET_MICROSECOND(self));
3432         }
3433         if (temp != NULL) {
3434             self->hashcode = PyObject_Hash(temp);
3435             Py_DECREF(temp);
3436         }
3437     }
3438     return self->hashcode;
3439 }
3440 
3441 static PyObject *
3442 time_replace(PyDateTime_Time *self, PyObject *args, PyObject *kw)
3443 {
3444     PyObject *clone;
3445     PyObject *tuple;
3446     int hh = TIME_GET_HOUR(self);
3447     int mm = TIME_GET_MINUTE(self);
3448     int ss = TIME_GET_SECOND(self);
3449     int us = TIME_GET_MICROSECOND(self);
3450     PyObject *tzinfo = HASTZINFO(self) ? self->tzinfo : Py_None;
3451 
3452     if (! PyArg_ParseTupleAndKeywords(args, kw, "|iiiiO:replace",
3453                                       time_kws,
3454                                       &hh, &mm, &ss, &us, &tzinfo))
3455         return NULL;
3456     tuple = Py_BuildValue("iiiiO", hh, mm, ss, us, tzinfo);
3457     if (tuple == NULL)
3458         return NULL;
3459     clone = time_new(Py_TYPE(self), tuple, NULL);
3460     Py_DECREF(tuple);
3461     return clone;
3462 }
3463 
3464 static int
3465 time_nonzero(PyDateTime_Time *self)
3466 {
3467     int offset;
3468     int none;
3469 
3470     if (TIME_GET_SECOND(self) || TIME_GET_MICROSECOND(self)) {
3471         /* Since utcoffset is in whole minutes, nothing can
3472          * alter the conclusion that this is nonzero.
3473          */
3474         return 1;
3475     }
3476     offset = 0;
3477     if (HASTZINFO(self) && self->tzinfo != Py_None) {
3478         offset = call_utcoffset(self->tzinfo, Py_None, &none);
3479         if (offset == -1 && PyErr_Occurred())
3480             return -1;
3481     }
3482     return (TIME_GET_MINUTE(self) - offset + TIME_GET_HOUR(self)*60) != 0;
3483 }
3484 
3485 /* Pickle support, a simple use of __reduce__. */
3486 
3487 /* Let basestate be the non-tzinfo data string.
3488  * If tzinfo is None, this returns (basestate,), else (basestate, tzinfo).
3489  * So it's a tuple in any (non-error) case.
3490  * __getstate__ isn't exposed.
3491  */
3492 static PyObject *
3493 time_getstate(PyDateTime_Time *self)
3494 {
3495     PyObject *basestate;
3496     PyObject *result = NULL;
3497 
3498     basestate =  PyString_FromStringAndSize((char *)self->data,
3499                                             _PyDateTime_TIME_DATASIZE);
3500     if (basestate != NULL) {
3501         if (! HASTZINFO(self) || self->tzinfo == Py_None)
3502             result = PyTuple_Pack(1, basestate);
3503         else
3504             result = PyTuple_Pack(2, basestate, self->tzinfo);
3505         Py_DECREF(basestate);
3506     }
3507     return result;
3508 }
3509 
3510 static PyObject *
3511 time_reduce(PyDateTime_Time *self, PyObject *arg)
3512 {
3513     return Py_BuildValue("(ON)", Py_TYPE(self), time_getstate(self));
3514 }
3515 
3516 static PyMethodDef time_methods[] = {
3517 
3518     {"isoformat",   (PyCFunction)time_isoformat,        METH_NOARGS,
3519      PyDoc_STR("Return string in ISO 8601 format, HH:MM:SS[.mmmmmm]"
3520                "[+HH:MM].")},
3521 
3522     {"strftime",        (PyCFunction)time_strftime,     METH_VARARGS | METH_KEYWORDS,
3523      PyDoc_STR("format -> strftime() style string.")},
3524 
3525     {"__format__",      (PyCFunction)date_format,       METH_VARARGS,
3526      PyDoc_STR("Formats self with strftime.")},
3527 
3528     {"utcoffset",       (PyCFunction)time_utcoffset,    METH_NOARGS,
3529      PyDoc_STR("Return self.tzinfo.utcoffset(self).")},
3530 
3531     {"tzname",          (PyCFunction)time_tzname,       METH_NOARGS,
3532      PyDoc_STR("Return self.tzinfo.tzname(self).")},
3533 
3534     {"dst",             (PyCFunction)time_dst,          METH_NOARGS,
3535      PyDoc_STR("Return self.tzinfo.dst(self).")},
3536 
3537     {"replace",     (PyCFunction)time_replace,          METH_VARARGS | METH_KEYWORDS,
3538      PyDoc_STR("Return time with new specified fields.")},
3539 
3540     {"__reduce__", (PyCFunction)time_reduce,        METH_NOARGS,
3541      PyDoc_STR("__reduce__() -> (cls, state)")},
3542 
3543     {NULL,      NULL}
3544 };
3545 
3546 static char time_doc[] =
3547 PyDoc_STR("time([hour[, minute[, second[, microsecond[, tzinfo]]]]]) --> a time object\n\
3548 \n\
3549 All arguments are optional. tzinfo may be None, or an instance of\n\
3550 a tzinfo subclass. The remaining arguments may be ints or longs.\n");
3551 
3552 static PyNumberMethods time_as_number = {
3553     0,                                          /* nb_add */
3554     0,                                          /* nb_subtract */
3555     0,                                          /* nb_multiply */
3556     0,                                          /* nb_divide */
3557     0,                                          /* nb_remainder */
3558     0,                                          /* nb_divmod */
3559     0,                                          /* nb_power */
3560     0,                                          /* nb_negative */
3561     0,                                          /* nb_positive */
3562     0,                                          /* nb_absolute */
3563     (inquiry)time_nonzero,                      /* nb_nonzero */
3564 };
3565 
3566 statichere PyTypeObject PyDateTime_TimeType = {
3567     PyObject_HEAD_INIT(NULL)
3568     0,                                          /* ob_size */
3569     "datetime.time",                            /* tp_name */
3570     sizeof(PyDateTime_Time),                    /* tp_basicsize */
3571     0,                                          /* tp_itemsize */
3572     (destructor)time_dealloc,                   /* tp_dealloc */
3573     0,                                          /* tp_print */
3574     0,                                          /* tp_getattr */
3575     0,                                          /* tp_setattr */
3576     0,                                          /* tp_compare */
3577     (reprfunc)time_repr,                        /* tp_repr */
3578     &time_as_number,                            /* tp_as_number */
3579     0,                                          /* tp_as_sequence */
3580     0,                                          /* tp_as_mapping */
3581     (hashfunc)time_hash,                        /* tp_hash */
3582     0,                                          /* tp_call */
3583     (reprfunc)time_str,                         /* tp_str */
3584     PyObject_GenericGetAttr,                    /* tp_getattro */
3585     0,                                          /* tp_setattro */
3586     0,                                          /* tp_as_buffer */
3587     Py_TPFLAGS_DEFAULT | Py_TPFLAGS_CHECKTYPES |
3588     Py_TPFLAGS_BASETYPE,                        /* tp_flags */
3589     time_doc,                                   /* tp_doc */
3590     0,                                          /* tp_traverse */
3591     0,                                          /* tp_clear */
3592     (richcmpfunc)time_richcompare,              /* tp_richcompare */
3593     0,                                          /* tp_weaklistoffset */
3594     0,                                          /* tp_iter */
3595     0,                                          /* tp_iternext */
3596     time_methods,                               /* tp_methods */
3597     0,                                          /* tp_members */
3598     time_getset,                                /* tp_getset */
3599     0,                                          /* tp_base */
3600     0,                                          /* tp_dict */
3601     0,                                          /* tp_descr_get */
3602     0,                                          /* tp_descr_set */
3603     0,                                          /* tp_dictoffset */
3604     0,                                          /* tp_init */
3605     time_alloc,                                 /* tp_alloc */
3606     time_new,                                   /* tp_new */
3607     0,                                          /* tp_free */
3608 };
3609 
3610 /*
3611  * PyDateTime_DateTime implementation.
3612  */
3613 
3614 /* Accessor properties.  Properties for day, month, and year are inherited
3615  * from date.
3616  */
3617 
3618 static PyObject *
3619 datetime_hour(PyDateTime_DateTime *self, void *unused)
3620 {
3621     return PyInt_FromLong(DATE_GET_HOUR(self));
3622 }
3623 
3624 static PyObject *
3625 datetime_minute(PyDateTime_DateTime *self, void *unused)
3626 {
3627     return PyInt_FromLong(DATE_GET_MINUTE(self));
3628 }
3629 
3630 static PyObject *
3631 datetime_second(PyDateTime_DateTime *self, void *unused)
3632 {
3633     return PyInt_FromLong(DATE_GET_SECOND(self));
3634 }
3635 
3636 static PyObject *
3637 datetime_microsecond(PyDateTime_DateTime *self, void *unused)
3638 {
3639     return PyInt_FromLong(DATE_GET_MICROSECOND(self));
3640 }
3641 
3642 static PyObject *
3643 datetime_tzinfo(PyDateTime_DateTime *self, void *unused)
3644 {
3645     PyObject *result = HASTZINFO(self) ? self->tzinfo : Py_None;
3646     Py_INCREF(result);
3647     return result;
3648 }
3649 
3650 static PyGetSetDef datetime_getset[] = {
3651     {"hour",        (getter)datetime_hour},
3652     {"minute",      (getter)datetime_minute},
3653     {"second",      (getter)datetime_second},
3654     {"microsecond", (getter)datetime_microsecond},
3655     {"tzinfo",          (getter)datetime_tzinfo},
3656     {NULL}
3657 };
3658 
3659 /*
3660  * Constructors.
3661  */
3662 
3663 static char *datetime_kws[] = {
3664     "year", "month", "day", "hour", "minute", "second",
3665     "microsecond", "tzinfo", NULL
3666 };
3667 
3668 static PyObject *
3669 datetime_new(PyTypeObject *type, PyObject *args, PyObject *kw)
3670 {
3671     PyObject *self = NULL;
3672     PyObject *state;
3673     int year;
3674     int month;
3675     int day;
3676     int hour = 0;
3677     int minute = 0;
3678     int second = 0;
3679     int usecond = 0;
3680     PyObject *tzinfo = Py_None;
3681 
3682     /* Check for invocation from pickle with __getstate__ state */
3683     if (PyTuple_GET_SIZE(args) >= 1 &&
3684         PyTuple_GET_SIZE(args) <= 2 &&
3685         PyString_Check(state = PyTuple_GET_ITEM(args, 0)) &&
3686         PyString_GET_SIZE(state) == _PyDateTime_DATETIME_DATASIZE &&
3687         MONTH_IS_SANE(PyString_AS_STRING(state)[2]))
3688     {
3689         PyDateTime_DateTime *me;
3690         char aware;
3691 
3692         if (PyTuple_GET_SIZE(args) == 2) {
3693             tzinfo = PyTuple_GET_ITEM(args, 1);
3694             if (check_tzinfo_subclass(tzinfo) < 0) {
3695                 PyErr_SetString(PyExc_TypeError, "bad "
3696                     "tzinfo state arg");
3697                 return NULL;
3698             }
3699         }
3700         aware = (char)(tzinfo != Py_None);
3701         me = (PyDateTime_DateTime *) (type->tp_alloc(type , aware));
3702         if (me != NULL) {
3703             char *pdata = PyString_AS_STRING(state);
3704 
3705             memcpy(me->data, pdata, _PyDateTime_DATETIME_DATASIZE);
3706             me->hashcode = -1;
3707             me->hastzinfo = aware;
3708             if (aware) {
3709                 Py_INCREF(tzinfo);
3710                 me->tzinfo = tzinfo;
3711             }
3712         }
3713         return (PyObject *)me;
3714     }
3715 
3716     if (PyArg_ParseTupleAndKeywords(args, kw, "iii|iiiiO", datetime_kws,
3717                                     &year, &month, &day, &hour, &minute,
3718                                     &second, &usecond, &tzinfo)) {
3719         if (check_date_args(year, month, day) < 0)
3720             return NULL;
3721         if (check_time_args(hour, minute, second, usecond) < 0)
3722             return NULL;
3723         if (check_tzinfo_subclass(tzinfo) < 0)
3724             return NULL;
3725         self = new_datetime_ex(year, month, day,
3726                                 hour, minute, second, usecond,
3727                                 tzinfo, type);
3728     }
3729     return self;
3730 }
3731 
3732 /* TM_FUNC is the shared type of localtime() and gmtime(). */
3733 typedef struct tm *(*TM_FUNC)(const time_t *timer);
3734 
3735 /* Internal helper.
3736  * Build datetime from a time_t and a distinct count of microseconds.
3737  * Pass localtime or gmtime for f, to control the interpretation of timet.
3738  */
3739 static PyObject *
3740 datetime_from_timet_and_us(PyObject *cls, TM_FUNC f, time_t timet, int us,
3741                            PyObject *tzinfo)
3742 {
3743     struct tm *tm;
3744     PyObject *result = NULL;
3745 
3746     tm = f(&timet);
3747     if (tm) {
3748         /* The platform localtime/gmtime may insert leap seconds,
3749          * indicated by tm->tm_sec > 59.  We don't care about them,
3750          * except to the extent that passing them on to the datetime
3751          * constructor would raise ValueError for a reason that
3752          * made no sense to the user.
3753          */
3754         if (tm->tm_sec > 59)
3755             tm->tm_sec = 59;
3756         result = PyObject_CallFunction(cls, "iiiiiiiO",
3757                                        tm->tm_year + 1900,
3758                                        tm->tm_mon + 1,
3759                                        tm->tm_mday,
3760                                        tm->tm_hour,
3761                                        tm->tm_min,
3762                                        tm->tm_sec,
3763                                        us,
3764                                        tzinfo);
3765     }
3766     else
3767         PyErr_SetString(PyExc_ValueError,
3768                         "timestamp out of range for "
3769                         "platform localtime()/gmtime() function");
3770     return result;
3771 }
3772 
3773 /* Internal helper.
3774  * Build datetime from a Python timestamp.  Pass localtime or gmtime for f,
3775  * to control the interpretation of the timestamp.  Since a double doesn't
3776  * have enough bits to cover a datetime's full range of precision, it's
3777  * better to call datetime_from_timet_and_us provided you have a way
3778  * to get that much precision (e.g., C time() isn't good enough).
3779  */
3780 static PyObject *
3781 datetime_from_timestamp(PyObject *cls, TM_FUNC f, double timestamp,
3782                         PyObject *tzinfo)
3783 {
3784     time_t timet;
3785     double fraction;
3786     int us;
3787 
3788     timet = _PyTime_DoubleToTimet(timestamp);
3789     if (timet == (time_t)-1 && PyErr_Occurred())
3790         return NULL;
3791     fraction = timestamp - (double)timet;
3792     us = (int)round_to_long(fraction * 1e6);
3793     if (us < 0) {
3794         /* Truncation towards zero is not what we wanted
3795            for negative numbers (Python's mod semantics) */
3796         timet -= 1;
3797         us += 1000000;
3798     }
3799     /* If timestamp is less than one microsecond smaller than a
3800      * full second, round up. Otherwise, ValueErrors are raised
3801      * for some floats. */
3802     if (us == 1000000) {
3803         timet += 1;
3804         us = 0;
3805     }
3806     return datetime_from_timet_and_us(cls, f, timet, us, tzinfo);
3807 }
3808 
3809 /* Internal helper.
3810  * Build most accurate possible datetime for current time.  Pass localtime or
3811  * gmtime for f as appropriate.
3812  */
3813 static PyObject *
3814 datetime_best_possible(PyObject *cls, TM_FUNC f, PyObject *tzinfo)
3815 {
3816 #ifdef HAVE_GETTIMEOFDAY
3817     struct timeval t;
3818 
3819 #ifdef GETTIMEOFDAY_NO_TZ
3820     gettimeofday(&t);
3821 #else
3822     gettimeofday(&t, (struct timezone *)NULL);
3823 #endif
3824     return datetime_from_timet_and_us(cls, f, t.tv_sec, (int)t.tv_usec,
3825                                       tzinfo);
3826 
3827 #else   /* ! HAVE_GETTIMEOFDAY */
3828     /* No flavor of gettimeofday exists on this platform.  Python's
3829      * time.time() does a lot of other platform tricks to get the
3830      * best time it can on the platform, and we're not going to do
3831      * better than that (if we could, the better code would belong
3832      * in time.time()!)  We're limited by the precision of a double,
3833      * though.
3834      */
3835     PyObject *time;
3836     double dtime;
3837 
3838     time = time_time();
3839     if (time == NULL)
3840         return NULL;
3841     dtime = PyFloat_AsDouble(time);
3842     Py_DECREF(time);
3843     if (dtime == -1.0 && PyErr_Occurred())
3844         return NULL;
3845     return datetime_from_timestamp(cls, f, dtime, tzinfo);
3846 #endif  /* ! HAVE_GETTIMEOFDAY */
3847 }
3848 
3849 /* Return best possible local time -- this isn't constrained by the
3850  * precision of a timestamp.
3851  */
3852 static PyObject *
3853 datetime_now(PyObject *cls, PyObject *args, PyObject *kw)
3854 {
3855     PyObject *self;
3856     PyObject *tzinfo = Py_None;
3857     static char *keywords[] = {"tz", NULL};
3858 
3859     if (! PyArg_ParseTupleAndKeywords(args, kw, "|O:now", keywords,
3860                                       &tzinfo))
3861         return NULL;
3862     if (check_tzinfo_subclass(tzinfo) < 0)
3863         return NULL;
3864 
3865     self = datetime_best_possible(cls,
3866                                   tzinfo == Py_None ? localtime : gmtime,
3867                                   tzinfo);
3868     if (self != NULL && tzinfo != Py_None) {
3869         /* Convert UTC to tzinfo's zone. */
3870         PyObject *temp = self;
3871         self = PyObject_CallMethod(tzinfo, "fromutc", "O", self);
3872         Py_DECREF(temp);
3873     }
3874     return self;
3875 }
3876 
3877 /* Return best possible UTC time -- this isn't constrained by the
3878  * precision of a timestamp.
3879  */
3880 static PyObject *
3881 datetime_utcnow(PyObject *cls, PyObject *dummy)
3882 {
3883     return datetime_best_possible(cls, gmtime, Py_None);
3884 }
3885 
3886 /* Return new local datetime from timestamp (Python timestamp -- a double). */
3887 static PyObject *
3888 datetime_fromtimestamp(PyObject *cls, PyObject *args, PyObject *kw)
3889 {
3890     PyObject *self;
3891     double timestamp;
3892     PyObject *tzinfo = Py_None;
3893     static char *keywords[] = {"timestamp", "tz", NULL};
3894 
3895     if (! PyArg_ParseTupleAndKeywords(args, kw, "d|O:fromtimestamp",
3896                                       keywords, &timestamp, &tzinfo))
3897         return NULL;
3898     if (check_tzinfo_subclass(tzinfo) < 0)
3899         return NULL;
3900 
3901     self = datetime_from_timestamp(cls,
3902                                    tzinfo == Py_None ? localtime : gmtime,
3903                                    timestamp,
3904                                    tzinfo);
3905     if (self != NULL && tzinfo != Py_None) {
3906         /* Convert UTC to tzinfo's zone. */
3907         PyObject *temp = self;
3908         self = PyObject_CallMethod(tzinfo, "fromutc", "O", self);
3909         Py_DECREF(temp);
3910     }
3911     return self;
3912 }
3913 
3914 /* Return new UTC datetime from timestamp (Python timestamp -- a double). */
3915 static PyObject *
3916 datetime_utcfromtimestamp(PyObject *cls, PyObject *args)
3917 {
3918     double timestamp;
3919     PyObject *result = NULL;
3920 
3921     if (PyArg_ParseTuple(args, "d:utcfromtimestamp", &timestamp))
3922         result = datetime_from_timestamp(cls, gmtime, timestamp,
3923                                          Py_None);
3924     return result;
3925 }
3926 
3927 /* Return new datetime from time.strptime(). */
3928 static PyObject *
3929 datetime_strptime(PyObject *cls, PyObject *args)
3930 {
3931     static PyObject *module = NULL;
3932     PyObject *result = NULL, *obj, *st = NULL, *frac = NULL;
3933     const char *string, *format;
3934 
3935     if (!PyArg_ParseTuple(args, "ss:strptime", &string, &format))
3936         return NULL;
3937 
3938     if (module == NULL &&
3939         (module = PyImport_ImportModuleNoBlock("_strptime")) == NULL)
3940         return NULL;
3941 
3942     /* _strptime._strptime returns a two-element tuple.  The first
3943        element is a time.struct_time object.  The second is the
3944        microseconds (which are not defined for time.struct_time). */
3945     obj = PyObject_CallMethod(module, "_strptime", "ss", string, format);
3946     if (obj != NULL) {
3947         int i, good_timetuple = 1;
3948         long int ia[7];
3949         if (PySequence_Check(obj) && PySequence_Size(obj) == 2) {
3950             st = PySequence_GetItem(obj, 0);
3951             frac = PySequence_GetItem(obj, 1);
3952             if (st == NULL || frac == NULL)
3953                 good_timetuple = 0;
3954             /* copy y/m/d/h/m/s values out of the
3955                time.struct_time */
3956             if (good_timetuple &&
3957                 PySequence_Check(st) &&
3958                 PySequence_Size(st) >= 6) {
3959                 for (i=0; i < 6; i++) {
3960                     PyObject *p = PySequence_GetItem(st, i);
3961                     if (p == NULL) {
3962                         good_timetuple = 0;
3963                         break;
3964                     }
3965                     if (PyInt_Check(p))
3966                         ia[i] = PyInt_AsLong(p);
3967                     else
3968                         good_timetuple = 0;
3969                     Py_DECREF(p);
3970                 }
3971             }
3972             else
3973                 good_timetuple = 0;
3974             /* follow that up with a little dose of microseconds */
3975             if (good_timetuple && PyInt_Check(frac))
3976                 ia[6] = PyInt_AsLong(frac);
3977             else
3978                 good_timetuple = 0;
3979         }
3980         else
3981             good_timetuple = 0;
3982         if (good_timetuple)
3983             result = PyObject_CallFunction(cls, "iiiiiii",
3984                                            ia[0], ia[1], ia[2],
3985                                            ia[3], ia[4], ia[5],
3986                                            ia[6]);
3987         else
3988             PyErr_SetString(PyExc_ValueError,
3989                 "unexpected value from _strptime._strptime");
3990     }
3991     Py_XDECREF(obj);
3992     Py_XDECREF(st);
3993     Py_XDECREF(frac);
3994     return result;
3995 }
3996 
3997 /* Return new datetime from date/datetime and time arguments. */
3998 static PyObject *
3999 datetime_combine(PyObject *cls, PyObject *args, PyObject *kw)
4000 {
4001     static char *keywords[] = {"date", "time", NULL};
4002     PyObject *date;
4003     PyObject *time;
4004     PyObject *result = NULL;
4005 
4006     if (PyArg_ParseTupleAndKeywords(args, kw, "O!O!:combine", keywords,
4007                                     &PyDateTime_DateType, &date,
4008                                     &PyDateTime_TimeType, &time)) {
4009         PyObject *tzinfo = Py_None;
4010 
4011         if (HASTZINFO(time))
4012             tzinfo = ((PyDateTime_Time *)time)->tzinfo;
4013         result = PyObject_CallFunction(cls, "iiiiiiiO",
4014                                         GET_YEAR(date),
4015                                         GET_MONTH(date),
4016                                         GET_DAY(date),
4017                                         TIME_GET_HOUR(time),
4018                                         TIME_GET_MINUTE(time),
4019                                         TIME_GET_SECOND(time),
4020                                         TIME_GET_MICROSECOND(time),
4021                                         tzinfo);
4022     }
4023     return result;
4024 }
4025 
4026 /*
4027  * Destructor.
4028  */
4029 
4030 static void
4031 datetime_dealloc(PyDateTime_DateTime *self)
4032 {
4033     if (HASTZINFO(self)) {
4034         Py_XDECREF(self->tzinfo);
4035     }
4036     Py_TYPE(self)->tp_free((PyObject *)self);
4037 }
4038 
4039 /*
4040  * Indirect access to tzinfo methods.
4041  */
4042 
4043 /* These are all METH_NOARGS, so don't need to check the arglist. */
4044 static PyObject *
4045 datetime_utcoffset(PyDateTime_DateTime *self, PyObject *unused) {
4046     return offset_as_timedelta(HASTZINFO(self) ? self->tzinfo : Py_None,
4047                                "utcoffset", (PyObject *)self);
4048 }
4049 
4050 static PyObject *
4051 datetime_dst(PyDateTime_DateTime *self, PyObject *unused) {
4052     return offset_as_timedelta(HASTZINFO(self) ? self->tzinfo : Py_None,
4053                                "dst", (PyObject *)self);
4054 }
4055 
4056 static PyObject *
4057 datetime_tzname(PyDateTime_DateTime *self, PyObject *unused) {
4058     return call_tzname(HASTZINFO(self) ? self->tzinfo : Py_None,
4059                        (PyObject *)self);
4060 }
4061 
4062 /*
4063  * datetime arithmetic.
4064  */
4065 
4066 /* factor must be 1 (to add) or -1 (to subtract).  The result inherits
4067  * the tzinfo state of date.
4068  */
4069 static PyObject *
4070 add_datetime_timedelta(PyDateTime_DateTime *date, PyDateTime_Delta *delta,
4071                        int factor)
4072 {
4073     /* Note that the C-level additions can't overflow, because of
4074      * invariant bounds on the member values.
4075      */
4076     int year = GET_YEAR(date);
4077     int month = GET_MONTH(date);
4078     int day = GET_DAY(date) + GET_TD_DAYS(delta) * factor;
4079     int hour = DATE_GET_HOUR(date);
4080     int minute = DATE_GET_MINUTE(date);
4081     int second = DATE_GET_SECOND(date) + GET_TD_SECONDS(delta) * factor;
4082     int microsecond = DATE_GET_MICROSECOND(date) +
4083                       GET_TD_MICROSECONDS(delta) * factor;
4084 
4085     assert(factor == 1 || factor == -1);
4086     if (normalize_datetime(&year, &month, &day,
4087                            &hour, &minute, &second, &microsecond) < 0)
4088         return NULL;
4089     else
4090         return new_datetime(year, month, day,
4091                             hour, minute, second, microsecond,
4092                             HASTZINFO(date) ? date->tzinfo : Py_None);
4093 }
4094 
4095 static PyObject *
4096 datetime_add(PyObject *left, PyObject *right)
4097 {
4098     if (PyDateTime_Check(left)) {
4099         /* datetime + ??? */
4100         if (PyDelta_Check(right))
4101             /* datetime + delta */
4102             return add_datetime_timedelta(
4103                             (PyDateTime_DateTime *)left,
4104                             (PyDateTime_Delta *)right,
4105                             1);
4106     }
4107     else if (PyDelta_Check(left)) {
4108         /* delta + datetime */
4109         return add_datetime_timedelta((PyDateTime_DateTime *) right,
4110                                       (PyDateTime_Delta *) left,
4111                                       1);
4112     }
4113     Py_INCREF(Py_NotImplemented);
4114     return Py_NotImplemented;
4115 }
4116 
4117 static PyObject *
4118 datetime_subtract(PyObject *left, PyObject *right)
4119 {
4120     PyObject *result = Py_NotImplemented;
4121 
4122     if (PyDateTime_Check(left)) {
4123         /* datetime - ??? */
4124         if (PyDateTime_Check(right)) {
4125             /* datetime - datetime */
4126             naivety n1, n2;
4127             int offset1, offset2;
4128             int delta_d, delta_s, delta_us;
4129 
4130             if (classify_two_utcoffsets(left, &offset1, &n1, left,
4131                                         right, &offset2, &n2,
4132                                         right) < 0)
4133                 return NULL;
4134             assert(n1 != OFFSET_UNKNOWN && n2 != OFFSET_UNKNOWN);
4135             if (n1 != n2) {
4136                 PyErr_SetString(PyExc_TypeError,
4137                     "can't subtract offset-naive and "
4138                     "offset-aware datetimes");
4139                 return NULL;
4140             }
4141             delta_d = ymd_to_ord(GET_YEAR(left),
4142                                  GET_MONTH(left),
4143                                  GET_DAY(left)) -
4144                       ymd_to_ord(GET_YEAR(right),
4145                                  GET_MONTH(right),
4146                                  GET_DAY(right));
4147             /* These can't overflow, since the values are
4148              * normalized.  At most this gives the number of
4149              * seconds in one day.
4150              */
4151             delta_s = (DATE_GET_HOUR(left) -
4152                        DATE_GET_HOUR(right)) * 3600 +
4153                       (DATE_GET_MINUTE(left) -
4154                        DATE_GET_MINUTE(right)) * 60 +
4155                       (DATE_GET_SECOND(left) -
4156                        DATE_GET_SECOND(right));
4157             delta_us = DATE_GET_MICROSECOND(left) -
4158                        DATE_GET_MICROSECOND(right);
4159             /* (left - offset1) - (right - offset2) =
4160              * (left - right) + (offset2 - offset1)
4161              */
4162             delta_s += (offset2 - offset1) * 60;
4163             result = new_delta(delta_d, delta_s, delta_us, 1);
4164         }
4165         else if (PyDelta_Check(right)) {
4166             /* datetime - delta */
4167             result = add_datetime_timedelta(
4168                             (PyDateTime_DateTime *)left,
4169                             (PyDateTime_Delta *)right,
4170                             -1);
4171         }
4172     }
4173 
4174     if (result == Py_NotImplemented)
4175         Py_INCREF(result);
4176     return result;
4177 }
4178 
4179 /* Various ways to turn a datetime into a string. */
4180 
4181 static PyObject *
4182 datetime_repr(PyDateTime_DateTime *self)
4183 {
4184     char buffer[1000];
4185     const char *type_name = Py_TYPE(self)->tp_name;
4186     PyObject *baserepr;
4187 
4188     if (DATE_GET_MICROSECOND(self)) {
4189         PyOS_snprintf(buffer, sizeof(buffer),
4190                       "%s(%d, %d, %d, %d, %d, %d, %d)",
4191                       type_name,
4192                       GET_YEAR(self), GET_MONTH(self), GET_DAY(self),
4193                       DATE_GET_HOUR(self), DATE_GET_MINUTE(self),
4194                       DATE_GET_SECOND(self),
4195                       DATE_GET_MICROSECOND(self));
4196     }
4197     else if (DATE_GET_SECOND(self)) {
4198         PyOS_snprintf(buffer, sizeof(buffer),
4199                       "%s(%d, %d, %d, %d, %d, %d)",
4200                       type_name,
4201                       GET_YEAR(self), GET_MONTH(self), GET_DAY(self),
4202                       DATE_GET_HOUR(self), DATE_GET_MINUTE(self),
4203                       DATE_GET_SECOND(self));
4204     }
4205     else {
4206         PyOS_snprintf(buffer, sizeof(buffer),
4207                       "%s(%d, %d, %d, %d, %d)",
4208                       type_name,
4209                       GET_YEAR(self), GET_MONTH(self), GET_DAY(self),
4210                       DATE_GET_HOUR(self), DATE_GET_MINUTE(self));
4211     }
4212     baserepr = PyString_FromString(buffer);
4213     if (baserepr == NULL || ! HASTZINFO(self))
4214         return baserepr;
4215     return append_keyword_tzinfo(baserepr, self->tzinfo);
4216 }
4217 
4218 static PyObject *
4219 datetime_str(PyDateTime_DateTime *self)
4220 {
4221     return PyObject_CallMethod((PyObject *)self, "isoformat", "(s)", " ");
4222 }
4223 
4224 static PyObject *
4225 datetime_isoformat(PyDateTime_DateTime *self, PyObject *args, PyObject *kw)
4226 {
4227     char sep = 'T';
4228     static char *keywords[] = {"sep", NULL};
4229     char buffer[100];
4230     char *cp;
4231     PyObject *result;
4232 
4233     if (!PyArg_ParseTupleAndKeywords(args, kw, "|c:isoformat", keywords,
4234                                      &sep))
4235         return NULL;
4236     cp = isoformat_date((PyDateTime_Date *)self, buffer, sizeof(buffer));
4237     assert(cp != NULL);
4238     *cp++ = sep;
4239     cp = isoformat_time(self, cp, sizeof(buffer) - (cp - buffer));
4240     result = PyString_FromStringAndSize(buffer, cp - buffer);
4241     if (result == NULL || ! HASTZINFO(self))
4242         return result;
4243 
4244     /* We need to append the UTC offset. */
4245     if (format_utcoffset(buffer, sizeof(buffer), ":", self->tzinfo,
4246                          (PyObject *)self) < 0) {
4247         Py_DECREF(result);
4248         return NULL;
4249     }
4250     PyString_ConcatAndDel(&result, PyString_FromString(buffer));
4251     return result;
4252 }
4253 
4254 static PyObject *
4255 datetime_ctime(PyDateTime_DateTime *self)
4256 {
4257     return format_ctime((PyDateTime_Date *)self,
4258                         DATE_GET_HOUR(self),
4259                         DATE_GET_MINUTE(self),
4260                         DATE_GET_SECOND(self));
4261 }
4262 
4263 /* Miscellaneous methods. */
4264 
4265 /* This is more natural as a tp_compare, but doesn't work then:  for whatever
4266  * reason, Python's try_3way_compare ignores tp_compare unless
4267  * PyInstance_Check returns true, but these aren't old-style classes.
4268  */
4269 static PyObject *
4270 datetime_richcompare(PyDateTime_DateTime *self, PyObject *other, int op)
4271 {
4272     int diff;
4273     naivety n1, n2;
4274     int offset1, offset2;
4275 
4276     if (! PyDateTime_Check(other)) {
4277         /* If other has a "timetuple" attr, that's an advertised
4278          * hook for other classes to ask to get comparison control.
4279          * However, date instances have a timetuple attr, and we
4280          * don't want to allow that comparison.  Because datetime
4281          * is a subclass of date, when mixing date and datetime
4282          * in a comparison, Python gives datetime the first shot
4283          * (it's the more specific subtype).  So we can stop that
4284          * combination here reliably.
4285          */
4286         if (PyObject_HasAttrString(other, "timetuple") &&
4287             ! PyDate_Check(other)) {
4288             /* A hook for other kinds of datetime objects. */
4289             Py_INCREF(Py_NotImplemented);
4290             return Py_NotImplemented;
4291         }
4292         if (op == Py_EQ || op == Py_NE) {
4293             PyObject *result = op == Py_EQ ? Py_False : Py_True;
4294             Py_INCREF(result);
4295             return result;
4296         }
4297         /* Stop this from falling back to address comparison. */
4298         return cmperror((PyObject *)self, other);
4299     }
4300 
4301     if (classify_two_utcoffsets((PyObject *)self, &offset1, &n1,
4302                                 (PyObject *)self,
4303                                  other, &offset2, &n2,
4304                                  other) < 0)
4305         return NULL;
4306     assert(n1 != OFFSET_UNKNOWN && n2 != OFFSET_UNKNOWN);
4307     /* If they're both naive, or both aware and have the same offsets,
4308      * we get off cheap.  Note that if they're both naive, offset1 ==
4309      * offset2 == 0 at this point.
4310      */
4311     if (n1 == n2 && offset1 == offset2) {
4312         diff = memcmp(self->data, ((PyDateTime_DateTime *)other)->data,
4313                       _PyDateTime_DATETIME_DATASIZE);
4314         return diff_to_bool(diff, op);
4315     }
4316 
4317     if (n1 == OFFSET_AWARE && n2 == OFFSET_AWARE) {
4318         PyDateTime_Delta *delta;
4319 
4320         assert(offset1 != offset2);             /* else last "if" handled it */
4321         delta = (PyDateTime_Delta *)datetime_subtract((PyObject *)self,
4322                                                        other);
4323         if (delta == NULL)
4324             return NULL;
4325         diff = GET_TD_DAYS(delta);
4326         if (diff == 0)
4327             diff = GET_TD_SECONDS(delta) |
4328                    GET_TD_MICROSECONDS(delta);
4329         Py_DECREF(delta);
4330         return diff_to_bool(diff, op);
4331     }
4332 
4333     assert(n1 != n2);
4334     PyErr_SetString(PyExc_TypeError,
4335                     "can't compare offset-naive and "
4336                     "offset-aware datetimes");
4337     return NULL;
4338 }
4339 
4340 static long
4341 datetime_hash(PyDateTime_DateTime *self)
4342 {
4343     if (self->hashcode == -1) {
4344         naivety n;
4345         int offset;
4346         PyObject *temp;
4347 
4348         n = classify_utcoffset((PyObject *)self, (PyObject *)self,
4349                                &offset);
4350         assert(n != OFFSET_UNKNOWN);
4351         if (n == OFFSET_ERROR)
4352             return -1;
4353 
4354         /* Reduce this to a hash of another object. */
4355         if (n == OFFSET_NAIVE)
4356             temp = PyString_FromStringAndSize(
4357                             (char *)self->data,
4358                             _PyDateTime_DATETIME_DATASIZE);
4359         else {
4360             int days;
4361             int seconds;
4362 
4363             assert(n == OFFSET_AWARE);
4364             assert(HASTZINFO(self));
4365             days = ymd_to_ord(GET_YEAR(self),
4366                               GET_MONTH(self),
4367                               GET_DAY(self));
4368             seconds = DATE_GET_HOUR(self) * 3600 +
4369                       (DATE_GET_MINUTE(self) - offset) * 60 +
4370                       DATE_GET_SECOND(self);
4371             temp = new_delta(days,
4372                              seconds,
4373                              DATE_GET_MICROSECOND(self),
4374                              1);
4375         }
4376         if (temp != NULL) {
4377             self->hashcode = PyObject_Hash(temp);
4378             Py_DECREF(temp);
4379         }
4380     }
4381     return self->hashcode;
4382 }
4383 
4384 static PyObject *
4385 datetime_replace(PyDateTime_DateTime *self, PyObject *args, PyObject *kw)
4386 {
4387     PyObject *clone;
4388     PyObject *tuple;
4389     int y = GET_YEAR(self);
4390     int m = GET_MONTH(self);
4391     int d = GET_DAY(self);
4392     int hh = DATE_GET_HOUR(self);
4393     int mm = DATE_GET_MINUTE(self);
4394     int ss = DATE_GET_SECOND(self);
4395     int us = DATE_GET_MICROSECOND(self);
4396     PyObject *tzinfo = HASTZINFO(self) ? self->tzinfo : Py_None;
4397 
4398     if (! PyArg_ParseTupleAndKeywords(args, kw, "|iiiiiiiO:replace",
4399                                       datetime_kws,
4400                                       &y, &m, &d, &hh, &mm, &ss, &us,
4401                                       &tzinfo))
4402         return NULL;
4403     tuple = Py_BuildValue("iiiiiiiO", y, m, d, hh, mm, ss, us, tzinfo);
4404     if (tuple == NULL)
4405         return NULL;
4406     clone = datetime_new(Py_TYPE(self), tuple, NULL);
4407     Py_DECREF(tuple);
4408     return clone;
4409 }
4410 
4411 static PyObject *
4412 datetime_astimezone(PyDateTime_DateTime *self, PyObject *args, PyObject *kw)
4413 {
4414     int y, m, d, hh, mm, ss, us;
4415     PyObject *result;
4416     int offset, none;
4417 
4418     PyObject *tzinfo;
4419     static char *keywords[] = {"tz", NULL};
4420 
4421     if (! PyArg_ParseTupleAndKeywords(args, kw, "O!:astimezone", keywords,
4422                                       &PyDateTime_TZInfoType, &tzinfo))
4423         return NULL;
4424 
4425     if (!HASTZINFO(self) || self->tzinfo == Py_None)
4426         goto NeedAware;
4427 
4428     /* Conversion to self's own time zone is a NOP. */
4429     if (self->tzinfo == tzinfo) {
4430         Py_INCREF(self);
4431         return (PyObject *)self;
4432     }
4433 
4434     /* Convert self to UTC. */
4435     offset = call_utcoffset(self->tzinfo, (PyObject *)self, &none);
4436     if (offset == -1 && PyErr_Occurred())
4437         return NULL;
4438     if (none)
4439         goto NeedAware;
4440 
4441     y = GET_YEAR(self);
4442     m = GET_MONTH(self);
4443     d = GET_DAY(self);
4444     hh = DATE_GET_HOUR(self);
4445     mm = DATE_GET_MINUTE(self);
4446     ss = DATE_GET_SECOND(self);
4447     us = DATE_GET_MICROSECOND(self);
4448 
4449     mm -= offset;
4450     if ((mm < 0 || mm >= 60) &&
4451         normalize_datetime(&y, &m, &d, &hh, &mm, &ss, &us) < 0)
4452         return NULL;
4453 
4454     /* Attach new tzinfo and let fromutc() do the rest. */
4455     result = new_datetime(y, m, d, hh, mm, ss, us, tzinfo);
4456     if (result != NULL) {
4457         PyObject *temp = result;
4458 
4459         result = PyObject_CallMethod(tzinfo, "fromutc", "O", temp);
4460         Py_DECREF(temp);
4461     }
4462     return result;
4463 
4464 NeedAware:
4465     PyErr_SetString(PyExc_ValueError, "astimezone() cannot be applied to "
4466                                       "a naive datetime");
4467     return NULL;
4468 }
4469 
4470 static PyObject *
4471 datetime_timetuple(PyDateTime_DateTime *self)
4472 {
4473     int dstflag = -1;
4474 
4475     if (HASTZINFO(self) && self->tzinfo != Py_None) {
4476         int none;
4477 
4478         dstflag = call_dst(self->tzinfo, (PyObject *)self, &none);
4479         if (dstflag == -1 && PyErr_Occurred())
4480             return NULL;
4481 
4482         if (none)
4483             dstflag = -1;
4484         else if (dstflag != 0)
4485             dstflag = 1;
4486 
4487     }
4488     return build_struct_time(GET_YEAR(self),
4489                              GET_MONTH(self),
4490                              GET_DAY(self),
4491                              DATE_GET_HOUR(self),
4492                              DATE_GET_MINUTE(self),
4493                              DATE_GET_SECOND(self),
4494                              dstflag);
4495 }
4496 
4497 static PyObject *
4498 datetime_getdate(PyDateTime_DateTime *self)
4499 {
4500     return new_date(GET_YEAR(self),
4501                     GET_MONTH(self),
4502                     GET_DAY(self));
4503 }
4504 
4505 static PyObject *
4506 datetime_gettime(PyDateTime_DateTime *self)
4507 {
4508     return new_time(DATE_GET_HOUR(self),
4509                     DATE_GET_MINUTE(self),
4510                     DATE_GET_SECOND(self),
4511                     DATE_GET_MICROSECOND(self),
4512                     Py_None);
4513 }
4514 
4515 static PyObject *
4516 datetime_gettimetz(PyDateTime_DateTime *self)
4517 {
4518     return new_time(DATE_GET_HOUR(self),
4519                     DATE_GET_MINUTE(self),
4520                     DATE_GET_SECOND(self),
4521                     DATE_GET_MICROSECOND(self),
4522                     HASTZINFO(self) ? self->tzinfo : Py_None);
4523 }
4524 
4525 static PyObject *
4526 datetime_utctimetuple(PyDateTime_DateTime *self)
4527 {
4528     int y = GET_YEAR(self);
4529     int m = GET_MONTH(self);
4530     int d = GET_DAY(self);
4531     int hh = DATE_GET_HOUR(self);
4532     int mm = DATE_GET_MINUTE(self);
4533     int ss = DATE_GET_SECOND(self);
4534     int us = 0;         /* microseconds are ignored in a timetuple */
4535     int offset = 0;
4536 
4537     if (HASTZINFO(self) && self->tzinfo != Py_None) {
4538         int none;
4539 
4540         offset = call_utcoffset(self->tzinfo, (PyObject *)self, &none);
4541         if (offset == -1 && PyErr_Occurred())
4542             return NULL;
4543     }
4544     /* Even if offset is 0, don't call timetuple() -- tm_isdst should be
4545      * 0 in a UTC timetuple regardless of what dst() says.
4546      */
4547     if (offset) {
4548         /* Subtract offset minutes & normalize. */
4549         int stat;
4550 
4551         mm -= offset;
4552         stat = normalize_datetime(&y, &m, &d, &hh, &mm, &ss, &us);
4553         if (stat < 0) {
4554             /* At the edges, it's possible we overflowed
4555              * beyond MINYEAR or MAXYEAR.
4556              */
4557             if (PyErr_ExceptionMatches(PyExc_OverflowError))
4558                 PyErr_Clear();
4559             else
4560                 return NULL;
4561         }
4562     }
4563     return build_struct_time(y, m, d, hh, mm, ss, 0);
4564 }
4565 
4566 /* Pickle support, a simple use of __reduce__. */
4567 
4568 /* Let basestate be the non-tzinfo data string.
4569  * If tzinfo is None, this returns (basestate,), else (basestate, tzinfo).
4570  * So it's a tuple in any (non-error) case.
4571  * __getstate__ isn't exposed.
4572  */
4573 static PyObject *
4574 datetime_getstate(PyDateTime_DateTime *self)
4575 {
4576     PyObject *basestate;
4577     PyObject *result = NULL;
4578 
4579     basestate = PyString_FromStringAndSize((char *)self->data,
4580                                       _PyDateTime_DATETIME_DATASIZE);
4581     if (basestate != NULL) {
4582         if (! HASTZINFO(self) || self->tzinfo == Py_None)
4583             result = PyTuple_Pack(1, basestate);
4584         else
4585             result = PyTuple_Pack(2, basestate, self->tzinfo);
4586         Py_DECREF(basestate);
4587     }
4588     return result;
4589 }
4590 
4591 static PyObject *
4592 datetime_reduce(PyDateTime_DateTime *self, PyObject *arg)
4593 {
4594     return Py_BuildValue("(ON)", Py_TYPE(self), datetime_getstate(self));
4595 }
4596 
4597 static PyMethodDef datetime_methods[] = {
4598 
4599     /* Class methods: */
4600 
4601     {"now",         (PyCFunction)datetime_now,
4602      METH_VARARGS | METH_KEYWORDS | METH_CLASS,
4603      PyDoc_STR("[tz] -> new datetime with tz's local day and time.")},
4604 
4605     {"utcnow",         (PyCFunction)datetime_utcnow,
4606      METH_NOARGS | METH_CLASS,
4607      PyDoc_STR("Return a new datetime representing UTC day and time.")},
4608 
4609     {"fromtimestamp", (PyCFunction)datetime_fromtimestamp,
4610      METH_VARARGS | METH_KEYWORDS | METH_CLASS,
4611      PyDoc_STR("timestamp[, tz] -> tz's local time from POSIX timestamp.")},
4612 
4613     {"utcfromtimestamp", (PyCFunction)datetime_utcfromtimestamp,
4614      METH_VARARGS | METH_CLASS,
4615      PyDoc_STR("timestamp -> UTC datetime from a POSIX timestamp "
4616                "(like time.time()).")},
4617 
4618     {"strptime", (PyCFunction)datetime_strptime,
4619      METH_VARARGS | METH_CLASS,
4620      PyDoc_STR("string, format -> new datetime parsed from a string "
4621                "(like time.strptime()).")},
4622 
4623     {"combine", (PyCFunction)datetime_combine,
4624      METH_VARARGS | METH_KEYWORDS | METH_CLASS,
4625      PyDoc_STR("date, time -> datetime with same date and time fields")},
4626 
4627     /* Instance methods: */
4628 
4629     {"date",   (PyCFunction)datetime_getdate, METH_NOARGS,
4630      PyDoc_STR("Return date object with same year, month and day.")},
4631 
4632     {"time",   (PyCFunction)datetime_gettime, METH_NOARGS,
4633      PyDoc_STR("Return time object with same time but with tzinfo=None.")},
4634 
4635     {"timetz",   (PyCFunction)datetime_gettimetz, METH_NOARGS,
4636      PyDoc_STR("Return time object with same time and tzinfo.")},
4637 
4638     {"ctime",       (PyCFunction)datetime_ctime,        METH_NOARGS,
4639      PyDoc_STR("Return ctime() style string.")},
4640 
4641     {"timetuple",   (PyCFunction)datetime_timetuple, METH_NOARGS,
4642      PyDoc_STR("Return time tuple, compatible with time.localtime().")},
4643 
4644     {"utctimetuple",   (PyCFunction)datetime_utctimetuple, METH_NOARGS,
4645      PyDoc_STR("Return UTC time tuple, compatible with time.localtime().")},
4646 
4647     {"isoformat",   (PyCFunction)datetime_isoformat, METH_VARARGS | METH_KEYWORDS,
4648      PyDoc_STR("[sep] -> string in ISO 8601 format, "
4649                "YYYY-MM-DDTHH:MM:SS[.mmmmmm][+HH:MM].\n\n"
4650                "sep is used to separate the year from the time, and "
4651                "defaults to 'T'.")},
4652 
4653     {"utcoffset",       (PyCFunction)datetime_utcoffset, METH_NOARGS,
4654      PyDoc_STR("Return self.tzinfo.utcoffset(self).")},
4655 
4656     {"tzname",          (PyCFunction)datetime_tzname,   METH_NOARGS,
4657      PyDoc_STR("Return self.tzinfo.tzname(self).")},
4658 
4659     {"dst",             (PyCFunction)datetime_dst, METH_NOARGS,
4660      PyDoc_STR("Return self.tzinfo.dst(self).")},
4661 
4662     {"replace",     (PyCFunction)datetime_replace,      METH_VARARGS | METH_KEYWORDS,
4663      PyDoc_STR("Return datetime with new specified fields.")},
4664 
4665     {"astimezone",  (PyCFunction)datetime_astimezone, METH_VARARGS | METH_KEYWORDS,
4666      PyDoc_STR("tz -> convert to local time in new timezone tz\n")},
4667 
4668     {"__reduce__", (PyCFunction)datetime_reduce,     METH_NOARGS,
4669      PyDoc_STR("__reduce__() -> (cls, state)")},
4670 
4671     {NULL,      NULL}
4672 };
4673 
4674 static char datetime_doc[] =
4675 PyDoc_STR("datetime(year, month, day[, hour[, minute[, second[, microsecond[,tzinfo]]]]])\n\
4676 \n\
4677 The year, month and day arguments are required. tzinfo may be None, or an\n\
4678 instance of a tzinfo subclass. The remaining arguments may be ints or longs.\n");
4679 
4680 static PyNumberMethods datetime_as_number = {
4681     datetime_add,                               /* nb_add */
4682     datetime_subtract,                          /* nb_subtract */
4683     0,                                          /* nb_multiply */
4684     0,                                          /* nb_divide */
4685     0,                                          /* nb_remainder */
4686     0,                                          /* nb_divmod */
4687     0,                                          /* nb_power */
4688     0,                                          /* nb_negative */
4689     0,                                          /* nb_positive */
4690     0,                                          /* nb_absolute */
4691     0,                                          /* nb_nonzero */
4692 };
4693 
4694 statichere PyTypeObject PyDateTime_DateTimeType = {
4695     PyObject_HEAD_INIT(NULL)
4696     0,                                          /* ob_size */
4697     "datetime.datetime",                        /* tp_name */
4698     sizeof(PyDateTime_DateTime),                /* tp_basicsize */
4699     0,                                          /* tp_itemsize */
4700     (destructor)datetime_dealloc,               /* tp_dealloc */
4701     0,                                          /* tp_print */
4702     0,                                          /* tp_getattr */
4703     0,                                          /* tp_setattr */
4704     0,                                          /* tp_compare */
4705     (reprfunc)datetime_repr,                    /* tp_repr */
4706     &datetime_as_number,                        /* tp_as_number */
4707     0,                                          /* tp_as_sequence */
4708     0,                                          /* tp_as_mapping */
4709     (hashfunc)datetime_hash,                    /* tp_hash */
4710     0,                                          /* tp_call */
4711     (reprfunc)datetime_str,                     /* tp_str */
4712     PyObject_GenericGetAttr,                    /* tp_getattro */
4713     0,                                          /* tp_setattro */
4714     0,                                          /* tp_as_buffer */
4715     Py_TPFLAGS_DEFAULT | Py_TPFLAGS_CHECKTYPES |
4716     Py_TPFLAGS_BASETYPE,                        /* tp_flags */
4717     datetime_doc,                               /* tp_doc */
4718     0,                                          /* tp_traverse */
4719     0,                                          /* tp_clear */
4720     (richcmpfunc)datetime_richcompare,          /* tp_richcompare */
4721     0,                                          /* tp_weaklistoffset */
4722     0,                                          /* tp_iter */
4723     0,                                          /* tp_iternext */
4724     datetime_methods,                           /* tp_methods */
4725     0,                                          /* tp_members */
4726     datetime_getset,                            /* tp_getset */
4727     &PyDateTime_DateType,                       /* tp_base */
4728     0,                                          /* tp_dict */
4729     0,                                          /* tp_descr_get */
4730     0,                                          /* tp_descr_set */
4731     0,                                          /* tp_dictoffset */
4732     0,                                          /* tp_init */
4733     datetime_alloc,                             /* tp_alloc */
4734     datetime_new,                               /* tp_new */
4735     0,                                          /* tp_free */
4736 };
4737 
4738 /* ---------------------------------------------------------------------------
4739  * Module methods and initialization.
4740  */
4741 
4742 static PyMethodDef module_methods[] = {
4743     {NULL, NULL}
4744 };
4745 
4746 /* C API.  Clients get at this via PyDateTime_IMPORT, defined in
4747  * datetime.h.
4748  */
4749 static PyDateTime_CAPI CAPI = {
4750     &PyDateTime_DateType,
4751     &PyDateTime_DateTimeType,
4752     &PyDateTime_TimeType,
4753     &PyDateTime_DeltaType,
4754     &PyDateTime_TZInfoType,
4755     new_date_ex,
4756     new_datetime_ex,
4757     new_time_ex,
4758     new_delta_ex,
4759     datetime_fromtimestamp,
4760     date_fromtimestamp
4761 };
4762 
4763 
4764 PyMODINIT_FUNC
4765 initdatetime(void)
4766 {
4767     PyObject *m;        /* a module object */
4768     PyObject *d;        /* its dict */
4769     PyObject *x;
4770 
4771     m = Py_InitModule3("datetime", module_methods,
4772                        "Fast implementation of the datetime type.");
4773     if (m == NULL)
4774         return;
4775 
4776     if (PyType_Ready(&PyDateTime_DateType) < 0)
4777         return;
4778     if (PyType_Ready(&PyDateTime_DateTimeType) < 0)
4779         return;
4780     if (PyType_Ready(&PyDateTime_DeltaType) < 0)
4781         return;
4782     if (PyType_Ready(&PyDateTime_TimeType) < 0)
4783         return;
4784     if (PyType_Ready(&PyDateTime_TZInfoType) < 0)
4785         return;
4786 
4787     /* timedelta values */
4788     d = PyDateTime_DeltaType.tp_dict;
4789 
4790     x = new_delta(0, 0, 1, 0);
4791     if (x == NULL || PyDict_SetItemString(d, "resolution", x) < 0)
4792         return;
4793     Py_DECREF(x);
4794 
4795     x = new_delta(-MAX_DELTA_DAYS, 0, 0, 0);
4796     if (x == NULL || PyDict_SetItemString(d, "min", x) < 0)
4797         return;
4798     Py_DECREF(x);
4799 
4800     x = new_delta(MAX_DELTA_DAYS, 24*3600-1, 1000000-1, 0);
4801     if (x == NULL || PyDict_SetItemString(d, "max", x) < 0)
4802         return;
4803     Py_DECREF(x);
4804 
4805     /* date values */
4806     d = PyDateTime_DateType.tp_dict;
4807 
4808     x = new_date(1, 1, 1);
4809     if (x == NULL || PyDict_SetItemString(d, "min", x) < 0)
4810         return;
4811     Py_DECREF(x);
4812 
4813     x = new_date(MAXYEAR, 12, 31);
4814     if (x == NULL || PyDict_SetItemString(d, "max", x) < 0)
4815         return;
4816     Py_DECREF(x);
4817 
4818     x = new_delta(1, 0, 0, 0);
4819     if (x == NULL || PyDict_SetItemString(d, "resolution", x) < 0)
4820         return;
4821     Py_DECREF(x);
4822 
4823     /* time values */
4824     d = PyDateTime_TimeType.tp_dict;
4825 
4826     x = new_time(0, 0, 0, 0, Py_None);
4827     if (x == NULL || PyDict_SetItemString(d, "min", x) < 0)
4828         return;
4829     Py_DECREF(x);
4830 
4831     x = new_time(23, 59, 59, 999999, Py_None);
4832     if (x == NULL || PyDict_SetItemString(d, "max", x) < 0)
4833         return;
4834     Py_DECREF(x);
4835 
4836     x = new_delta(0, 0, 1, 0);
4837     if (x == NULL || PyDict_SetItemString(d, "resolution", x) < 0)
4838         return;
4839     Py_DECREF(x);
4840 
4841     /* datetime values */
4842     d = PyDateTime_DateTimeType.tp_dict;
4843 
4844     x = new_datetime(1, 1, 1, 0, 0, 0, 0, Py_None);
4845     if (x == NULL || PyDict_SetItemString(d, "min", x) < 0)
4846         return;
4847     Py_DECREF(x);
4848 
4849     x = new_datetime(MAXYEAR, 12, 31, 23, 59, 59, 999999, Py_None);
4850     if (x == NULL || PyDict_SetItemString(d, "max", x) < 0)
4851         return;
4852     Py_DECREF(x);
4853 
4854     x = new_delta(0, 0, 1, 0);
4855     if (x == NULL || PyDict_SetItemString(d, "resolution", x) < 0)
4856         return;
4857     Py_DECREF(x);
4858 
4859     /* module initialization */
4860     PyModule_AddIntConstant(m, "MINYEAR", MINYEAR);
4861     PyModule_AddIntConstant(m, "MAXYEAR", MAXYEAR);
4862 
4863     Py_INCREF(&PyDateTime_DateType);
4864     PyModule_AddObject(m, "date", (PyObject *) &PyDateTime_DateType);
4865 
4866     Py_INCREF(&PyDateTime_DateTimeType);
4867     PyModule_AddObject(m, "datetime",
4868                        (PyObject *)&PyDateTime_DateTimeType);
4869 
4870     Py_INCREF(&PyDateTime_TimeType);
4871     PyModule_AddObject(m, "time", (PyObject *) &PyDateTime_TimeType);
4872 
4873     Py_INCREF(&PyDateTime_DeltaType);
4874     PyModule_AddObject(m, "timedelta", (PyObject *) &PyDateTime_DeltaType);
4875 
4876     Py_INCREF(&PyDateTime_TZInfoType);
4877     PyModule_AddObject(m, "tzinfo", (PyObject *) &PyDateTime_TZInfoType);
4878 
4879     x = PyCapsule_New(&CAPI, PyDateTime_CAPSULE_NAME, NULL);
4880     if (x == NULL)
4881         return;
4882     PyModule_AddObject(m, "datetime_CAPI", x);
4883 
4884     /* A 4-year cycle has an extra leap day over what we'd get from
4885      * pasting together 4 single years.
4886      */
4887     assert(DI4Y == 4 * 365 + 1);
4888     assert(DI4Y == days_before_year(4+1));
4889 
4890     /* Similarly, a 400-year cycle has an extra leap day over what we'd
4891      * get from pasting together 4 100-year cycles.
4892      */
4893     assert(DI400Y == 4 * DI100Y + 1);
4894     assert(DI400Y == days_before_year(400+1));
4895 
4896     /* OTOH, a 100-year cycle has one fewer leap day than we'd get from
4897      * pasting together 25 4-year cycles.
4898      */
4899     assert(DI100Y == 25 * DI4Y - 1);
4900     assert(DI100Y == days_before_year(100+1));
4901 
4902     us_per_us = PyInt_FromLong(1);
4903     us_per_ms = PyInt_FromLong(1000);
4904     us_per_second = PyInt_FromLong(1000000);
4905     us_per_minute = PyInt_FromLong(60000000);
4906     seconds_per_day = PyInt_FromLong(24 * 3600);
4907     if (us_per_us == NULL || us_per_ms == NULL || us_per_second == NULL ||
4908         us_per_minute == NULL || seconds_per_day == NULL)
4909         return;
4910 
4911     /* The rest are too big for 32-bit ints, but even
4912      * us_per_week fits in 40 bits, so doubles should be exact.
4913      */
4914     us_per_hour = PyLong_FromDouble(3600000000.0);
4915     us_per_day = PyLong_FromDouble(86400000000.0);
4916     us_per_week = PyLong_FromDouble(604800000000.0);
4917     if (us_per_hour == NULL || us_per_day == NULL || us_per_week == NULL)
4918         return;
4919 }
4920 
4921 /* ---------------------------------------------------------------------------
4922 Some time zone algebra.  For a datetime x, let
4923     x.n = x stripped of its timezone -- its naive time.
4924     x.o = x.utcoffset(), and assuming that doesn't raise an exception or
4925       return None
4926     x.d = x.dst(), and assuming that doesn't raise an exception or
4927       return None
4928     x.s = x's standard offset, x.o - x.d
4929 
4930 Now some derived rules, where k is a duration (timedelta).
4931 
4932 1. x.o = x.s + x.d
4933    This follows from the definition of x.s.
4934 
4935 2. If x and y have the same tzinfo member, x.s = y.s.
4936    This is actually a requirement, an assumption we need to make about
4937    sane tzinfo classes.
4938 
4939 3. The naive UTC time corresponding to x is x.n - x.o.
4940    This is again a requirement for a sane tzinfo class.
4941 
4942 4. (x+k).s = x.s
4943    This follows from #2, and that datimetimetz+timedelta preserves tzinfo.
4944 
4945 5. (x+k).n = x.n + k
4946    Again follows from how arithmetic is defined.
4947 
4948 Now we can explain tz.fromutc(x).  Let's assume it's an interesting case
4949 (meaning that the various tzinfo methods exist, and don't blow up or return
4950 None when called).
4951 
4952 The function wants to return a datetime y with timezone tz, equivalent to x.
4953 x is already in UTC.
4954 
4955 By #3, we want
4956 
4957     y.n - y.o = x.n                             [1]
4958 
4959 The algorithm starts by attaching tz to x.n, and calling that y.  So
4960 x.n = y.n at the start.  Then it wants to add a duration k to y, so that [1]
4961 becomes true; in effect, we want to solve [2] for k:
4962 
4963    (y+k).n - (y+k).o = x.n                      [2]
4964 
4965 By #1, this is the same as
4966 
4967    (y+k).n - ((y+k).s + (y+k).d) = x.n          [3]
4968 
4969 By #5, (y+k).n = y.n + k, which equals x.n + k because x.n=y.n at the start.
4970 Substituting that into [3],
4971 
4972    x.n + k - (y+k).s - (y+k).d = x.n; the x.n terms cancel, leaving
4973    k - (y+k).s - (y+k).d = 0; rearranging,
4974    k = (y+k).s - (y+k).d; by #4, (y+k).s == y.s, so
4975    k = y.s - (y+k).d
4976 
4977 On the RHS, (y+k).d can't be computed directly, but y.s can be, and we
4978 approximate k by ignoring the (y+k).d term at first.  Note that k can't be
4979 very large, since all offset-returning methods return a duration of magnitude
4980 less than 24 hours.  For that reason, if y is firmly in std time, (y+k).d must
4981 be 0, so ignoring it has no consequence then.
4982 
4983 In any case, the new value is
4984 
4985     z = y + y.s                                 [4]
4986 
4987 It's helpful to step back at look at [4] from a higher level:  it's simply
4988 mapping from UTC to tz's standard time.
4989 
4990 At this point, if
4991 
4992     z.n - z.o = x.n                             [5]
4993 
4994 we have an equivalent time, and are almost done.  The insecurity here is
4995 at the start of daylight time.  Picture US Eastern for concreteness.  The wall
4996 time jumps from 1:59 to 3:00, and wall hours of the form 2:MM don't make good
4997 sense then.  The docs ask that an Eastern tzinfo class consider such a time to
4998 be EDT (because it's "after 2"), which is a redundant spelling of 1:MM EST
4999 on the day DST starts.  We want to return the 1:MM EST spelling because that's
5000 the only spelling that makes sense on the local wall clock.
5001 
5002 In fact, if [5] holds at this point, we do have the standard-time spelling,
5003 but that takes a bit of proof.  We first prove a stronger result.  What's the
5004 difference between the LHS and RHS of [5]?  Let
5005 
5006     diff = x.n - (z.n - z.o)                    [6]
5007 
5008 Now
5009     z.n =                       by [4]
5010     (y + y.s).n =               by #5
5011     y.n + y.s =                 since y.n = x.n
5012     x.n + y.s =                 since z and y are have the same tzinfo member,
5013                                     y.s = z.s by #2
5014     x.n + z.s
5015 
5016 Plugging that back into [6] gives
5017 
5018     diff =
5019     x.n - ((x.n + z.s) - z.o) =     expanding
5020     x.n - x.n - z.s + z.o =         cancelling
5021     - z.s + z.o =                   by #2
5022     z.d
5023 
5024 So diff = z.d.
5025 
5026 If [5] is true now, diff = 0, so z.d = 0 too, and we have the standard-time
5027 spelling we wanted in the endcase described above.  We're done.  Contrarily,
5028 if z.d = 0, then we have a UTC equivalent, and are also done.
5029 
5030 If [5] is not true now, diff = z.d != 0, and z.d is the offset we need to
5031 add to z (in effect, z is in tz's standard time, and we need to shift the
5032 local clock into tz's daylight time).
5033 
5034 Let
5035 
5036     z' = z + z.d = z + diff                     [7]
5037 
5038 and we can again ask whether
5039 
5040     z'.n - z'.o = x.n                           [8]
5041 
5042 If so, we're done.  If not, the tzinfo class is insane, according to the
5043 assumptions we've made.  This also requires a bit of proof.  As before, let's
5044 compute the difference between the LHS and RHS of [8] (and skipping some of
5045 the justifications for the kinds of substitutions we've done several times
5046 already):
5047 
5048     diff' = x.n - (z'.n - z'.o) =           replacing z'.n via [7]
5049         x.n  - (z.n + diff - z'.o) =    replacing diff via [6]
5050         x.n - (z.n + x.n - (z.n - z.o) - z'.o) =
5051         x.n - z.n - x.n + z.n - z.o + z'.o =    cancel x.n
5052         - z.n + z.n - z.o + z'.o =              cancel z.n
5053         - z.o + z'.o =                      #1 twice
5054         -z.s - z.d + z'.s + z'.d =          z and z' have same tzinfo
5055         z'.d - z.d
5056 
5057 So z' is UTC-equivalent to x iff z'.d = z.d at this point.  If they are equal,
5058 we've found the UTC-equivalent so are done.  In fact, we stop with [7] and
5059 return z', not bothering to compute z'.d.
5060 
5061 How could z.d and z'd differ?  z' = z + z.d [7], so merely moving z' by
5062 a dst() offset, and starting *from* a time already in DST (we know z.d != 0),
5063 would have to change the result dst() returns:  we start in DST, and moving
5064 a little further into it takes us out of DST.
5065 
5066 There isn't a sane case where this can happen.  The closest it gets is at
5067 the end of DST, where there's an hour in UTC with no spelling in a hybrid
5068 tzinfo class.  In US Eastern, that's 5:MM UTC = 0:MM EST = 1:MM EDT.  During
5069 that hour, on an Eastern clock 1:MM is taken as being in standard time (6:MM
5070 UTC) because the docs insist on that, but 0:MM is taken as being in daylight
5071 time (4:MM UTC).  There is no local time mapping to 5:MM UTC.  The local
5072 clock jumps from 1:59 back to 1:00 again, and repeats the 1:MM hour in
5073 standard time.  Since that's what the local clock *does*, we want to map both
5074 UTC hours 5:MM and 6:MM to 1:MM Eastern.  The result is ambiguous
5075 in local time, but so it goes -- it's the way the local clock works.
5076 
5077 When x = 5:MM UTC is the input to this algorithm, x.o=0, y.o=-5 and y.d=0,
5078 so z=0:MM.  z.d=60 (minutes) then, so [5] doesn't hold and we keep going.
5079 z' = z + z.d = 1:MM then, and z'.d=0, and z'.d - z.d = -60 != 0 so [8]
5080 (correctly) concludes that z' is not UTC-equivalent to x.
5081 
5082 Because we know z.d said z was in daylight time (else [5] would have held and
5083 we would have stopped then), and we know z.d != z'.d (else [8] would have held
5084 and we would have stopped then), and there are only 2 possible values dst() can
5085 return in Eastern, it follows that z'.d must be 0 (which it is in the example,
5086 but the reasoning doesn't depend on the example -- it depends on there being
5087 two possible dst() outcomes, one zero and the other non-zero).  Therefore
5088 z' must be in standard time, and is the spelling we want in this case.
5089 
5090 Note again that z' is not UTC-equivalent as far as the hybrid tzinfo class is
5091 concerned (because it takes z' as being in standard time rather than the
5092 daylight time we intend here), but returning it gives the real-life "local
5093 clock repeats an hour" behavior when mapping the "unspellable" UTC hour into
5094 tz.
5095 
5096 When the input is 6:MM, z=1:MM and z.d=0, and we stop at once, again with
5097 the 1:MM standard time spelling we want.
5098 
5099 So how can this break?  One of the assumptions must be violated.  Two
5100 possibilities:
5101 
5102 1) [2] effectively says that y.s is invariant across all y belong to a given
5103    time zone.  This isn't true if, for political reasons or continental drift,
5104    a region decides to change its base offset from UTC.
5105 
5106 2) There may be versions of "double daylight" time where the tail end of
5107    the analysis gives up a step too early.  I haven't thought about that
5108    enough to say.
5109 
5110 In any case, it's clear that the default fromutc() is strong enough to handle
5111 "almost all" time zones:  so long as the standard offset is invariant, it
5112 doesn't matter if daylight time transition points change from year to year, or
5113 if daylight time is skipped in some years; it doesn't matter how large or
5114 small dst() may get within its bounds; and it doesn't even matter if some
5115 perverse time zone returns a negative dst()).  So a breaking case must be
5116 pretty bizarre, and a tzinfo subclass can override fromutc() if it is.
5117 --------------------------------------------------------------------------- */