Computing the duration of the period between two UTC times, using
SRFI-19 mechanisms:

scheme@(guile-user)> (use-modules (srfi srfi-19))
scheme@(guile-user)> (define t0 (date->time-utc (make-date 0 59 59 23 30 6 2012 
0))) 
scheme@(guile-user)> (define t1 (date->time-utc (make-date 0 1 0 0 1 7 2012 0)))
scheme@(guile-user)> (time-difference t1 t0)
$1 = #<time type: time-duration nanosecond: 0 second: 2>

The two times are 2012-06-30T23:59:59 and 2012-07-01T00:00:01, so at
first glance one would expect the duration to be 2 s as shown above,
the two seconds being 23:59:59 and 00:00:00.  But in fact there was
a leap second 2012-06-30T23:59:60, so the duration of this period is
actually 3 s.  The SRFI-19 library is aware of this leap second, and
will compute the duration correctly if it's translated into TAI:

scheme@(guile-user)> (time-difference (time-utc->time-tai t1) 
(time-utc->time-tai t0))
$2 = #<time type: time-duration nanosecond: 0 second: 3>

The original computation in UTC space should yield a result of 3 s,
not the 2 s that it did.  Since 1972, the seconds of UTC are of exactly
the same duration as the seconds of TAI.  (They're also phase-locked to
TAI seconds.)  Thus the period of three TAI seconds is also a period of
three UTC seconds.  It is not somehow squeezed into two UTC seconds.

-zefram



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