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1 /*
2  * Copyright (c) 1989 The Regents of the University of California.
3  * All rights reserved.
4  *
5  * Copyright (c) 2011 The FreeBSD Foundation
6  * All rights reserved.
7  * Portions of this software were developed by David Chisnall
8  * under sponsorship from the FreeBSD Foundation.
9  *
10  * Redistribution and use in source and binary forms are permitted
11  * provided that the above copyright notice and this paragraph are
12  * duplicated in all such forms and that any documentation,
13  * advertising materials, and other materials related to such
14  * distribution and use acknowledge that the software was developed
15  * by the University of California, Berkeley. The name of the
16  * University may not be used to endorse or promote products derived
17  * from this software without specific prior written permission.
18  * THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY EXPRESS OR
19  * IMPLIED WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED
20  * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
21  */
22
23 #ifndef lint
24 #ifndef NOID
25 static const char       elsieid[] = "@(#)strftime.3     8.3";
26 /*
27  * Based on the UCB version with the ID appearing below.
28  * This is ANSIish only when "multibyte character == plain character".
29  */
30 #endif /* !defined NOID */
31 #endif /* !defined lint */
32
33 #include "namespace.h"
34 #include "private.h"
35
36 #if defined(LIBC_SCCS) && !defined(lint)
37 static const char       sccsid[] = "@(#)strftime.c      5.4 (Berkeley) 3/14/89";
38 #endif /* LIBC_SCCS and not lint */
39 #include <sys/cdefs.h>
40 __FBSDID("$FreeBSD$");
41
42 #include "tzfile.h"
43 #include <fcntl.h>
44 #include <sys/stat.h>
45 #include "un-namespace.h"
46 #include "timelocal.h"
47
48 static char *   _add(const char *, char *, const char *);
49 static char *   _conv(int, const char *, char *, const char *, locale_t);
50 static char *   _fmt(const char *, const struct tm *, char *, const char *,
51                         int *, locale_t);
52 static char *   _yconv(int, int, int, int, char *, const char *, locale_t);
53
54 extern char *   tzname[];
55
56 #ifndef YEAR_2000_NAME
57 #define YEAR_2000_NAME  "CHECK_STRFTIME_FORMATS_FOR_TWO_DIGIT_YEARS"
58 #endif /* !defined YEAR_2000_NAME */
59
60 #define IN_NONE 0
61 #define IN_SOME 1
62 #define IN_THIS 2
63 #define IN_ALL  3
64
65 #define PAD_DEFAULT     0
66 #define PAD_LESS        1
67 #define PAD_SPACE       2
68 #define PAD_ZERO        3
69
70 static const char fmt_padding[][4][5] = {
71         /* DEFAULT,     LESS,   SPACE,  ZERO */
72 #define PAD_FMT_MONTHDAY        0
73 #define PAD_FMT_HMS             0
74 #define PAD_FMT_CENTURY         0
75 #define PAD_FMT_SHORTYEAR       0
76 #define PAD_FMT_MONTH           0
77 #define PAD_FMT_WEEKOFYEAR      0
78 #define PAD_FMT_DAYOFMONTH      0
79         { "%02d",       "%d",   "%2d",  "%02d" },
80 #define PAD_FMT_SDAYOFMONTH     1
81 #define PAD_FMT_SHMS            1
82         { "%2d",        "%d",   "%2d",  "%02d" },
83 #define PAD_FMT_DAYOFYEAR       2
84         { "%03d",       "%d",   "%3d",  "%03d" },
85 #define PAD_FMT_YEAR            3
86         { "%04d",       "%d",   "%4d",  "%04d" }
87 };
88
89 size_t
90 strftime_l(char * __restrict s, size_t maxsize, const char * __restrict format,
91     const struct tm * __restrict t, locale_t loc)
92 {
93         char *  p;
94         int     warn;
95         FIX_LOCALE(loc);
96
97         tzset();
98         warn = IN_NONE;
99         p = _fmt(((format == NULL) ? "%c" : format), t, s, s + maxsize, &warn, loc);
100 #ifndef NO_RUN_TIME_WARNINGS_ABOUT_YEAR_2000_PROBLEMS_THANK_YOU
101         if (warn != IN_NONE && getenv(YEAR_2000_NAME) != NULL) {
102                 (void) fprintf_l(stderr, loc, "\n");
103                 if (format == NULL)
104                         (void) fputs("NULL strftime format ", stderr);
105                 else    (void) fprintf_l(stderr, loc, "strftime format \"%s\" ",
106                                 format);
107                 (void) fputs("yields only two digits of years in ", stderr);
108                 if (warn == IN_SOME)
109                         (void) fputs("some locales", stderr);
110                 else if (warn == IN_THIS)
111                         (void) fputs("the current locale", stderr);
112                 else    (void) fputs("all locales", stderr);
113                 (void) fputs("\n", stderr);
114         }
115 #endif /* !defined NO_RUN_TIME_WARNINGS_ABOUT_YEAR_2000_PROBLEMS_THANK_YOU */
116         if (p == s + maxsize)
117                 return (0);
118         *p = '\0';
119         return p - s;
120 }
121
122 size_t
123 strftime(char * __restrict s, size_t maxsize, const char * __restrict format,
124     const struct tm * __restrict t)
125 {
126         return strftime_l(s, maxsize, format, t, __get_locale());
127 }
128
129 static char *
130 _fmt(const char *format, const struct tm * const t, char *pt,
131     const char * const ptlim, int *warnp, locale_t loc)
132 {
133         int Ealternative, Oalternative, PadIndex;
134         struct lc_time_T *tptr = __get_current_time_locale(loc);
135
136         for ( ; *format; ++format) {
137                 if (*format == '%') {
138                         Ealternative = 0;
139                         Oalternative = 0;
140                         PadIndex         = PAD_DEFAULT;
141 label:
142                         switch (*++format) {
143                         case '\0':
144                                 --format;
145                                 break;
146                         case 'A':
147                                 pt = _add((t->tm_wday < 0 ||
148                                         t->tm_wday >= DAYSPERWEEK) ?
149                                         "?" : tptr->weekday[t->tm_wday],
150                                         pt, ptlim);
151                                 continue;
152                         case 'a':
153                                 pt = _add((t->tm_wday < 0 ||
154                                         t->tm_wday >= DAYSPERWEEK) ?
155                                         "?" : tptr->wday[t->tm_wday],
156                                         pt, ptlim);
157                                 continue;
158                         case 'B':
159                                 pt = _add((t->tm_mon < 0 ||
160                                         t->tm_mon >= MONSPERYEAR) ?
161                                         "?" : (Oalternative ? tptr->alt_month :
162                                         tptr->month)[t->tm_mon],
163                                         pt, ptlim);
164                                 continue;
165                         case 'b':
166                         case 'h':
167                                 pt = _add((t->tm_mon < 0 ||
168                                         t->tm_mon >= MONSPERYEAR) ?
169                                         "?" : tptr->mon[t->tm_mon],
170                                         pt, ptlim);
171                                 continue;
172                         case 'C':
173                                 /*
174                                  * %C used to do a...
175                                  *      _fmt("%a %b %e %X %Y", t);
176                                  * ...whereas now POSIX 1003.2 calls for
177                                  * something completely different.
178                                  * (ado, 1993-05-24)
179                                  */
180                                 pt = _yconv(t->tm_year, TM_YEAR_BASE, 1, 0,
181                                         pt, ptlim, loc);
182                                 continue;
183                         case 'c':
184                                 {
185                                 int warn2 = IN_SOME;
186
187                                 pt = _fmt(tptr->c_fmt, t, pt, ptlim, &warn2, loc);
188                                 if (warn2 == IN_ALL)
189                                         warn2 = IN_THIS;
190                                 if (warn2 > *warnp)
191                                         *warnp = warn2;
192                                 }
193                                 continue;
194                         case 'D':
195                                 pt = _fmt("%m/%d/%y", t, pt, ptlim, warnp, loc);
196                                 continue;
197                         case 'd':
198                                 pt = _conv(t->tm_mday,
199                                         fmt_padding[PAD_FMT_DAYOFMONTH][PadIndex],
200                                         pt, ptlim, loc);
201                                 continue;
202                         case 'E':
203                                 if (Ealternative || Oalternative)
204                                         break;
205                                 Ealternative++;
206                                 goto label;
207                         case 'O':
208                                 /*
209                                  * C99 locale modifiers.
210                                  * The sequences
211                                  *      %Ec %EC %Ex %EX %Ey %EY
212                                  *      %Od %oe %OH %OI %Om %OM
213                                  *      %OS %Ou %OU %OV %Ow %OW %Oy
214                                  * are supposed to provide alternate
215                                  * representations.
216                                  *
217                                  * FreeBSD extension
218                                  *      %OB
219                                  */
220                                 if (Ealternative || Oalternative)
221                                         break;
222                                 Oalternative++;
223                                 goto label;
224                         case 'e':
225                                 pt = _conv(t->tm_mday,
226                                         fmt_padding[PAD_FMT_SDAYOFMONTH][PadIndex],
227                                         pt, ptlim, loc);
228                                 continue;
229                         case 'F':
230                                 pt = _fmt("%Y-%m-%d", t, pt, ptlim, warnp, loc);
231                                 continue;
232                         case 'H':
233                                 pt = _conv(t->tm_hour, fmt_padding[PAD_FMT_HMS][PadIndex],
234                                         pt, ptlim, loc);
235                                 continue;
236                         case 'I':
237                                 pt = _conv((t->tm_hour % 12) ?
238                                         (t->tm_hour % 12) : 12,
239                                         fmt_padding[PAD_FMT_HMS][PadIndex],
240                                         pt, ptlim, loc);
241                                 continue;
242                         case 'j':
243                                 pt = _conv(t->tm_yday + 1,
244                                         fmt_padding[PAD_FMT_DAYOFYEAR][PadIndex],
245                                         pt, ptlim, loc);
246                                 continue;
247                         case 'k':
248                                 /*
249                                  * This used to be...
250                                  *      _conv(t->tm_hour % 12 ?
251                                  *              t->tm_hour % 12 : 12, 2, ' ');
252                                  * ...and has been changed to the below to
253                                  * match SunOS 4.1.1 and Arnold Robbins'
254                                  * strftime version 3.0. That is, "%k" and
255                                  * "%l" have been swapped.
256                                  * (ado, 1993-05-24)
257                                  */
258                                 pt = _conv(t->tm_hour, fmt_padding[PAD_FMT_SHMS][PadIndex],
259                                         pt, ptlim, loc);
260                                 continue;
261 #ifdef KITCHEN_SINK
262                         case 'K':
263                                 /*
264                                 ** After all this time, still unclaimed!
265                                 */
266                                 pt = _add("kitchen sink", pt, ptlim);
267                                 continue;
268 #endif /* defined KITCHEN_SINK */
269                         case 'l':
270                                 /*
271                                  * This used to be...
272                                  *      _conv(t->tm_hour, 2, ' ');
273                                  * ...and has been changed to the below to
274                                  * match SunOS 4.1.1 and Arnold Robbin's
275                                  * strftime version 3.0. That is, "%k" and
276                                  * "%l" have been swapped.
277                                  * (ado, 1993-05-24)
278                                  */
279                                 pt = _conv((t->tm_hour % 12) ?
280                                         (t->tm_hour % 12) : 12,
281                                         fmt_padding[PAD_FMT_SHMS][PadIndex],
282                                         pt, ptlim, loc);
283                                 continue;
284                         case 'M':
285                                 pt = _conv(t->tm_min, fmt_padding[PAD_FMT_HMS][PadIndex],
286                                         pt, ptlim, loc);
287                                 continue;
288                         case 'm':
289                                 pt = _conv(t->tm_mon + 1,
290                                         fmt_padding[PAD_FMT_MONTH][PadIndex],
291                                         pt, ptlim, loc);
292                                 continue;
293                         case 'n':
294                                 pt = _add("\n", pt, ptlim);
295                                 continue;
296                         case 'p':
297                                 pt = _add((t->tm_hour >= (HOURSPERDAY / 2)) ?
298                                         tptr->pm : tptr->am,
299                                         pt, ptlim);
300                                 continue;
301                         case 'R':
302                                 pt = _fmt("%H:%M", t, pt, ptlim, warnp, loc);
303                                 continue;
304                         case 'r':
305                                 pt = _fmt(tptr->ampm_fmt, t, pt, ptlim,
306                                         warnp, loc);
307                                 continue;
308                         case 'S':
309                                 pt = _conv(t->tm_sec, fmt_padding[PAD_FMT_HMS][PadIndex],
310                                         pt, ptlim, loc);
311                                 continue;
312                         case 's':
313                                 {
314                                         struct tm       tm;
315                                         char            buf[INT_STRLEN_MAXIMUM(
316                                                                 time_t) + 1];
317                                         time_t          mkt;
318
319                                         tm = *t;
320                                         mkt = mktime(&tm);
321                                         if (TYPE_SIGNED(time_t))
322                                                 (void) sprintf_l(buf, loc, "%ld",
323                                                         (long) mkt);
324                                         else    (void) sprintf_l(buf, loc, "%lu",
325                                                         (unsigned long) mkt);
326                                         pt = _add(buf, pt, ptlim);
327                                 }
328                                 continue;
329                         case 'T':
330                                 pt = _fmt("%H:%M:%S", t, pt, ptlim, warnp, loc);
331                                 continue;
332                         case 't':
333                                 pt = _add("\t", pt, ptlim);
334                                 continue;
335                         case 'U':
336                                 pt = _conv((t->tm_yday + DAYSPERWEEK -
337                                         t->tm_wday) / DAYSPERWEEK,
338                                         fmt_padding[PAD_FMT_WEEKOFYEAR][PadIndex],
339                                         pt, ptlim, loc);
340                                 continue;
341                         case 'u':
342                                 /*
343                                  * From Arnold Robbins' strftime version 3.0:
344                                  * "ISO 8601: Weekday as a decimal number
345                                  * [1 (Monday) - 7]"
346                                  * (ado, 1993-05-24)
347                                  */
348                                 pt = _conv((t->tm_wday == 0) ?
349                                         DAYSPERWEEK : t->tm_wday,
350                                         "%d", pt, ptlim, loc);
351                                 continue;
352                         case 'V':       /* ISO 8601 week number */
353                         case 'G':       /* ISO 8601 year (four digits) */
354                         case 'g':       /* ISO 8601 year (two digits) */
355 /*
356  * From Arnold Robbins' strftime version 3.0: "the week number of the
357  * year (the first Monday as the first day of week 1) as a decimal number
358  * (01-53)."
359  * (ado, 1993-05-24)
360  *
361  * From "http://www.ft.uni-erlangen.de/~mskuhn/iso-time.html" by Markus Kuhn:
362  * "Week 01 of a year is per definition the first week which has the
363  * Thursday in this year, which is equivalent to the week which contains
364  * the fourth day of January. In other words, the first week of a new year
365  * is the week which has the majority of its days in the new year. Week 01
366  * might also contain days from the previous year and the week before week
367  * 01 of a year is the last week (52 or 53) of the previous year even if
368  * it contains days from the new year. A week starts with Monday (day 1)
369  * and ends with Sunday (day 7). For example, the first week of the year
370  * 1997 lasts from 1996-12-30 to 1997-01-05..."
371  * (ado, 1996-01-02)
372  */
373                                 {
374                                         int     year;
375                                         int     base;
376                                         int     yday;
377                                         int     wday;
378                                         int     w;
379
380                                         year = t->tm_year;
381                                         base = TM_YEAR_BASE;
382                                         yday = t->tm_yday;
383                                         wday = t->tm_wday;
384                                         for ( ; ; ) {
385                                                 int     len;
386                                                 int     bot;
387                                                 int     top;
388
389                                                 len = isleap_sum(year, base) ?
390                                                         DAYSPERLYEAR :
391                                                         DAYSPERNYEAR;
392                                                 /*
393                                                  * What yday (-3 ... 3) does
394                                                  * the ISO year begin on?
395                                                  */
396                                                 bot = ((yday + 11 - wday) %
397                                                         DAYSPERWEEK) - 3;
398                                                 /*
399                                                  * What yday does the NEXT
400                                                  * ISO year begin on?
401                                                  */
402                                                 top = bot -
403                                                         (len % DAYSPERWEEK);
404                                                 if (top < -3)
405                                                         top += DAYSPERWEEK;
406                                                 top += len;
407                                                 if (yday >= top) {
408                                                         ++base;
409                                                         w = 1;
410                                                         break;
411                                                 }
412                                                 if (yday >= bot) {
413                                                         w = 1 + ((yday - bot) /
414                                                                 DAYSPERWEEK);
415                                                         break;
416                                                 }
417                                                 --base;
418                                                 yday += isleap_sum(year, base) ?
419                                                         DAYSPERLYEAR :
420                                                         DAYSPERNYEAR;
421                                         }
422 #ifdef XPG4_1994_04_09
423                                         if ((w == 52 &&
424                                                 t->tm_mon == TM_JANUARY) ||
425                                                 (w == 1 &&
426                                                 t->tm_mon == TM_DECEMBER))
427                                                         w = 53;
428 #endif /* defined XPG4_1994_04_09 */
429                                         if (*format == 'V')
430                                                 pt = _conv(w, fmt_padding[PAD_FMT_WEEKOFYEAR][PadIndex],
431                                                         pt, ptlim, loc);
432                                         else if (*format == 'g') {
433                                                 *warnp = IN_ALL;
434                                                 pt = _yconv(year, base, 0, 1,
435                                                         pt, ptlim, loc);
436                                         } else  pt = _yconv(year, base, 1, 1,
437                                                         pt, ptlim, loc);
438                                 }
439                                 continue;
440                         case 'v':
441                                 /*
442                                  * From Arnold Robbins' strftime version 3.0:
443                                  * "date as dd-bbb-YYYY"
444                                  * (ado, 1993-05-24)
445                                  */
446                                 pt = _fmt("%e-%b-%Y", t, pt, ptlim, warnp, loc);
447                                 continue;
448                         case 'W':
449                                 pt = _conv((t->tm_yday + DAYSPERWEEK -
450                                         (t->tm_wday ?
451                                         (t->tm_wday - 1) :
452                                         (DAYSPERWEEK - 1))) / DAYSPERWEEK,
453                                         fmt_padding[PAD_FMT_WEEKOFYEAR][PadIndex],
454                                         pt, ptlim, loc);
455                                 continue;
456                         case 'w':
457                                 pt = _conv(t->tm_wday, "%d", pt, ptlim, loc);
458                                 continue;
459                         case 'X':
460                                 pt = _fmt(tptr->X_fmt, t, pt, ptlim, warnp, loc);
461                                 continue;
462                         case 'x':
463                                 {
464                                 int     warn2 = IN_SOME;
465
466                                 pt = _fmt(tptr->x_fmt, t, pt, ptlim, &warn2, loc);
467                                 if (warn2 == IN_ALL)
468                                         warn2 = IN_THIS;
469                                 if (warn2 > *warnp)
470                                         *warnp = warn2;
471                                 }
472                                 continue;
473                         case 'y':
474                                 *warnp = IN_ALL;
475                                 pt = _yconv(t->tm_year, TM_YEAR_BASE, 0, 1,
476                                         pt, ptlim, loc);
477                                 continue;
478                         case 'Y':
479                                 pt = _yconv(t->tm_year, TM_YEAR_BASE, 1, 1,
480                                         pt, ptlim, loc);
481                                 continue;
482                         case 'Z':
483 #ifdef TM_ZONE
484                                 if (t->TM_ZONE != NULL)
485                                         pt = _add(t->TM_ZONE, pt, ptlim);
486                                 else
487 #endif /* defined TM_ZONE */
488                                 if (t->tm_isdst >= 0)
489                                         pt = _add(tzname[t->tm_isdst != 0],
490                                                 pt, ptlim);
491                                 /*
492                                  * C99 says that %Z must be replaced by the
493                                  * empty string if the time zone is not
494                                  * determinable.
495                                  */
496                                 continue;
497                         case 'z':
498                                 {
499                                 int             diff;
500                                 char const *    sign;
501
502                                 if (t->tm_isdst < 0)
503                                         continue;
504 #ifdef TM_GMTOFF
505                                 diff = t->TM_GMTOFF;
506 #else /* !defined TM_GMTOFF */
507                                 /*
508                                  * C99 says that the UTC offset must
509                                  * be computed by looking only at
510                                  * tm_isdst. This requirement is
511                                  * incorrect, since it means the code
512                                  * must rely on magic (in this case
513                                  * altzone and timezone), and the
514                                  * magic might not have the correct
515                                  * offset. Doing things correctly is
516                                  * tricky and requires disobeying C99;
517                                  * see GNU C strftime for details.
518                                  * For now, punt and conform to the
519                                  * standard, even though it's incorrect.
520                                  *
521                                  * C99 says that %z must be replaced by the
522                                  * empty string if the time zone is not
523                                  * determinable, so output nothing if the
524                                  * appropriate variables are not available.
525                                  */
526                                 if (t->tm_isdst == 0)
527 #ifdef USG_COMPAT
528                                         diff = -timezone;
529 #else /* !defined USG_COMPAT */
530                                         continue;
531 #endif /* !defined USG_COMPAT */
532                                 else
533 #ifdef ALTZONE
534                                         diff = -altzone;
535 #else /* !defined ALTZONE */
536                                         continue;
537 #endif /* !defined ALTZONE */
538 #endif /* !defined TM_GMTOFF */
539                                 if (diff < 0) {
540                                         sign = "-";
541                                         diff = -diff;
542                                 } else
543                                         sign = "+";
544                                 pt = _add(sign, pt, ptlim);
545                                 diff /= SECSPERMIN;
546                                 diff = (diff / MINSPERHOUR) * 100 +
547                                         (diff % MINSPERHOUR);
548                                 pt = _conv(diff,
549                                         fmt_padding[PAD_FMT_YEAR][PadIndex],
550                                         pt, ptlim, loc);
551                                 }
552                                 continue;
553                         case '+':
554                                 pt = _fmt(tptr->date_fmt, t, pt, ptlim,
555                                         warnp, loc);
556                                 continue;
557                         case '-':
558                                 if (PadIndex != PAD_DEFAULT)
559                                         break;
560                                 PadIndex = PAD_LESS;
561                                 goto label;
562                         case '_':
563                                 if (PadIndex != PAD_DEFAULT)
564                                         break;
565                                 PadIndex = PAD_SPACE;
566                                 goto label;
567                         case '0':
568                                 if (PadIndex != PAD_DEFAULT)
569                                         break;
570                                 PadIndex = PAD_ZERO;
571                                 goto label;
572                         case '%':
573                         /*
574                          * X311J/88-090 (4.12.3.5): if conversion char is
575                          * undefined, behavior is undefined. Print out the
576                          * character itself as printf(3) also does.
577                          */
578                         default:
579                                 break;
580                         }
581                 }
582                 if (pt == ptlim)
583                         break;
584                 *pt++ = *format;
585         }
586         return (pt);
587 }
588
589 static char *
590 _conv(const int n, const char * const format, char * const pt,
591     const char * const ptlim, locale_t  loc)
592 {
593         char    buf[INT_STRLEN_MAXIMUM(int) + 1];
594
595         (void) sprintf_l(buf, loc, format, n);
596         return _add(buf, pt, ptlim);
597 }
598
599 static char *
600 _add(const char *str, char *pt, const char * const ptlim)
601 {
602         while (pt < ptlim && (*pt = *str++) != '\0')
603                 ++pt;
604         return (pt);
605 }
606
607 /*
608  * POSIX and the C Standard are unclear or inconsistent about
609  * what %C and %y do if the year is negative or exceeds 9999.
610  * Use the convention that %C concatenated with %y yields the
611  * same output as %Y, and that %Y contains at least 4 bytes,
612  * with more only if necessary.
613  */
614
615 static char *
616 _yconv(const int a, const int b, const int convert_top, const int convert_yy,
617     char *pt, const char * const ptlim, locale_t  loc)
618 {
619         register int    lead;
620         register int    trail;
621
622 #define DIVISOR 100
623         trail = a % DIVISOR + b % DIVISOR;
624         lead = a / DIVISOR + b / DIVISOR + trail / DIVISOR;
625         trail %= DIVISOR;
626         if (trail < 0 && lead > 0) {
627                 trail += DIVISOR;
628                 --lead;
629         } else if (lead < 0 && trail > 0) {
630                 trail -= DIVISOR;
631                 ++lead;
632         }
633         if (convert_top) {
634                 if (lead == 0 && trail < 0)
635                         pt = _add("-0", pt, ptlim);
636                 else    pt = _conv(lead, "%02d", pt, ptlim, loc);
637         }
638         if (convert_yy)
639                 pt = _conv(((trail < 0) ? -trail : trail), "%02d", pt,
640                      ptlim, loc);
641         return (pt);
642 }