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-rw-r--r--leapseconds.awk195
1 files changed, 155 insertions, 40 deletions
diff --git a/leapseconds.awk b/leapseconds.awk
index 242e9d64098f..1fe50120afda 100644
--- a/leapseconds.awk
+++ b/leapseconds.awk
@@ -1,43 +1,59 @@
-# Generate the 'leapseconds' file from 'leap-seconds.list'.
+# Generate zic format 'leapseconds' from NIST format 'leap-seconds.list'.
# This file is in the public domain.
+# This program uses awk arithmetic. POSIX requires awk to support
+# exact integer arithmetic only through 10**10, which means for NTP
+# timestamps this program works only to the year 2216, which is the
+# year 1900 plus 10**10 seconds. However, in practice
+# POSIX-conforming awk implementations invariably use IEEE-754 double
+# and so support exact integers through 2**53. By the year 2216,
+# POSIX will almost surely require at least 2**53 for awk, so for NTP
+# timestamps this program should be good until the year 285,428,681
+# (the year 1900 plus 2**53 seconds). By then leap seconds will be
+# long obsolete, as the Earth will likely slow down so much that
+# there will be more than 25 hours per day and so some other scheme
+# will be needed.
+
BEGIN {
print "# Allowance for leap seconds added to each time zone file."
print ""
print "# This file is in the public domain."
print ""
print "# This file is generated automatically from the data in the public-domain"
- print "# leap-seconds.list file, which can be copied from"
+ print "# NIST format leap-seconds.list file, which can be copied from"
print "# <ftp://ftp.nist.gov/pub/time/leap-seconds.list>"
- print "# or <ftp://ftp.boulder.nist.gov/pub/time/leap-seconds.list>"
- print "# or <ftp://tycho.usno.navy.mil/pub/ntp/leap-seconds.list>."
+ print "# or <ftp://ftp.boulder.nist.gov/pub/time/leap-seconds.list>."
print "# For more about leap-seconds.list, please see"
print "# The NTP Timescale and Leap Seconds"
print "# <https://www.eecis.udel.edu/~mills/leap.html>."
print ""
- print "# The International Earth Rotation and Reference Systems Service"
+ print "# The rules for leap seconds are specified in Annex 1 (Time scales) of:"
+ print "# Standard-frequency and time-signal emissions."
+ print "# International Telecommunication Union - Radiocommunication Sector"
+ print "# (ITU-R) Recommendation TF.460-6 (02/2002)"
+ print "# <https://www.itu.int/rec/R-REC-TF.460-6-200202-I/>."
+ print "# The International Earth Rotation and Reference Systems Service (IERS)"
print "# periodically uses leap seconds to keep UTC to within 0.9 s of UT1"
- print "# (which measures the true angular orientation of the earth in space)"
+ print "# (a proxy for Earth's angle in space as measured by astronomers)"
print "# and publishes leap second data in a copyrighted file"
print "# <https://hpiers.obspm.fr/iers/bul/bulc/Leap_Second.dat>."
print "# See: Levine J. Coordinated Universal Time and the leap second."
print "# URSI Radio Sci Bull. 2016;89(4):30-6. doi:10.23919/URSIRSB.2016.7909995"
print "# <https://ieeexplore.ieee.org/document/7909995>."
print ""
- print "# There were no leap seconds before 1972, because the official mechanism"
- print "# accounting for the discrepancy between atomic time and the earth's rotation"
- print "# did not exist. The first (\"1 Jan 1972\") data line in leap-seconds.list"
+ print "# There were no leap seconds before 1972, as no official mechanism"
+ print "# accounted for the discrepancy between atomic time (TAI) and the earth's"
+ print "# rotation. The first (\"1 Jan 1972\") data line in leap-seconds.list"
print "# does not denote a leap second; it denotes the start of the current definition"
- print"# of UTC."
- print ""
- print "# The correction (+ or -) is made at the given time, so lines"
- print "# will typically look like:"
- print "# Leap YEAR MON DAY 23:59:60 + R/S"
- print "# or"
- print "# Leap YEAR MON DAY 23:59:59 - R/S"
+ print "# of UTC."
print ""
- print "# If the leap second is Rolling (R) the given time is local time (unused here)."
+ print "# All leap-seconds are Stationary (S) at the given UTC time."
+ print "# The correction (+ or -) is made at the given time, so in the unlikely"
+ print "# event of a negative leap second, a line would look like this:"
+ print "# Leap YEAR MON DAY 23:59:59 - S"
+ print "# Typical lines look like this:"
+ print "# Leap YEAR MON DAY 23:59:60 + S"
monthabbr[ 1] = "Jan"
monthabbr[ 2] = "Feb"
@@ -51,45 +67,34 @@ BEGIN {
monthabbr[10] = "Oct"
monthabbr[11] = "Nov"
monthabbr[12] = "Dec"
- for (i in monthabbr) {
- monthnum[monthabbr[i]] = i
- monthlen[i] = 31
- }
- monthlen[2] = 28
- monthlen[4] = monthlen[6] = monthlen[9] = monthlen[11] = 30
+
+ # Strip trailing CR, in case the input has CRLF form a la NIST.
+ RS = "\r?\n"
+
+ sstamp_init()
}
-/^#\tUpdated through/ || /^#\tFile expires on:/ {
+/^#[ \t]*[Uu]pdated through/ || /^#[ \t]*[Ff]ile expires on/ {
last_lines = last_lines $0 "\n"
}
/^#[$][ \t]/ { updated = $2 }
/^#[@][ \t]/ { expires = $2 }
-/^#/ { next }
+/^[ \t]*#/ { next }
{
NTP_timestamp = $1
TAI_minus_UTC = $2
- hash_mark = $3
- one = $4
- month = $5
- year = $6
if (old_TAI_minus_UTC) {
if (old_TAI_minus_UTC < TAI_minus_UTC) {
sign = "23:59:60\t+"
} else {
sign = "23:59:59\t-"
}
- m = monthnum[month] - 1
- if (m == 0) {
- year--;
- m = 12
- }
- month = monthabbr[m]
- day = monthlen[m]
- day += m == 2 && year % 4 == 0 && (year % 100 != 0 || year % 400 == 0)
- printf "Leap\t%s\t%s\t%s\t%s\tS\n", year, month, day, sign
+ sstamp_to_ymdhMs(NTP_timestamp - 1, ss_NTP)
+ printf "Leap\t%d\t%s\t%d\t%s\tS\n", \
+ ss_year, monthabbr[ss_month], ss_mday, sign
}
old_TAI_minus_UTC = TAI_minus_UTC
}
@@ -102,7 +107,117 @@ END {
print ""
print "# POSIX timestamps for the data in this file:"
- printf "#updated %s\n", updated - epoch_minus_NTP
- printf "#expires %s\n", expires - epoch_minus_NTP
+ sstamp_to_ymdhMs(updated, ss_NTP)
+ printf "#updated %d (%.4d-%.2d-%.2d %.2d:%.2d:%.2d UTC)\n", \
+ updated - epoch_minus_NTP, \
+ ss_year, ss_month, ss_mday, ss_hour, ss_min, ss_sec
+ sstamp_to_ymdhMs(expires, ss_NTP)
+ printf "#expires %d (%.4d-%.2d-%.2d %.2d:%.2d:%.2d UTC)\n", \
+ expires - epoch_minus_NTP, \
+ ss_year, ss_month, ss_mday, ss_hour, ss_min, ss_sec
+
printf "\n%s", last_lines
}
+
+# sstamp_to_ymdhMs - convert seconds timestamp to date and time
+#
+# Call as:
+#
+# sstamp_to_ymdhMs(sstamp, epoch_days)
+#
+# where:
+#
+# sstamp - is the seconds timestamp.
+# epoch_days - is the timestamp epoch in Gregorian days since 1600-03-01.
+# ss_NTP is appropriate for an NTP sstamp.
+#
+# Both arguments should be nonnegative integers.
+# On return, the following variables are set based on sstamp:
+#
+# ss_year - Gregorian calendar year
+# ss_month - month of the year (1-January to 12-December)
+# ss_mday - day of the month (1-31)
+# ss_hour - hour (0-23)
+# ss_min - minute (0-59)
+# ss_sec - second (0-59)
+# ss_wday - day of week (0-Sunday to 6-Saturday)
+#
+# The function sstamp_init should be called prior to using sstamp_to_ymdhMs.
+
+function sstamp_init()
+{
+ # Days in month N, where March is month 0 and January month 10.
+ ss_mon_days[ 0] = 31
+ ss_mon_days[ 1] = 30
+ ss_mon_days[ 2] = 31
+ ss_mon_days[ 3] = 30
+ ss_mon_days[ 4] = 31
+ ss_mon_days[ 5] = 31
+ ss_mon_days[ 6] = 30
+ ss_mon_days[ 7] = 31
+ ss_mon_days[ 8] = 30
+ ss_mon_days[ 9] = 31
+ ss_mon_days[10] = 31
+
+ # Counts of days in a Gregorian year, quad-year, century, and quad-century.
+ ss_year_days = 365
+ ss_quadyear_days = ss_year_days * 4 + 1
+ ss_century_days = ss_quadyear_days * 25 - 1
+ ss_quadcentury_days = ss_century_days * 4 + 1
+
+ # Standard day epochs, suitable for epoch_days.
+ # ss_MJD = 94493
+ # ss_POSIX = 135080
+ ss_NTP = 109513
+}
+
+function sstamp_to_ymdhMs(sstamp, epoch_days, \
+ quadcentury, century, quadyear, year, month, day)
+{
+ ss_hour = int(sstamp / 3600) % 24
+ ss_min = int(sstamp / 60) % 60
+ ss_sec = sstamp % 60
+
+ # Start with a count of days since 1600-03-01 Gregorian.
+ day = epoch_days + int(sstamp / (24 * 60 * 60))
+
+ # Compute a year-month-day date with days of the month numbered
+ # 0-30, months (March-February) numbered 0-11, and years that start
+ # start March 1 and end after the last day of February. A quad-year
+ # starts on March 1 of a year evenly divisible by 4 and ends after
+ # the last day of February 4 years later. A century starts on and
+ # ends before March 1 in years evenly divisible by 100.
+ # A quad-century starts on and ends before March 1 in years divisible
+ # by 400. While the number of days in a quad-century is a constant,
+ # the number of days in each other time period can vary by 1.
+ # Any variation is in the last day of the time period (there might
+ # or might not be a February 29) where it is easy to deal with.
+
+ quadcentury = int(day / ss_quadcentury_days)
+ day -= quadcentury * ss_quadcentury_days
+ ss_wday = (day + 3) % 7
+ century = int(day / ss_century_days)
+ century -= century == 4
+ day -= century * ss_century_days
+ quadyear = int(day / ss_quadyear_days)
+ day -= quadyear * ss_quadyear_days
+ year = int(day / ss_year_days)
+ year -= year == 4
+ day -= year * ss_year_days
+ for (month = 0; month < 11; month++) {
+ if (day < ss_mon_days[month])
+ break
+ day -= ss_mon_days[month]
+ }
+
+ # Convert the date to a conventional day of month (1-31),
+ # month (1-12, January-December) and Gregorian year.
+ ss_mday = day + 1
+ if (month <= 9) {
+ ss_month = month + 3
+ } else {
+ ss_month = month - 9
+ year++
+ }
+ ss_year = 1600 + quadcentury * 400 + century * 100 + quadyear * 4 + year
+}