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Time Utilities

Overview

Uptime in Zephyr is based on the a tick counter. With the default CONFIG_TICKLESS_KERNEL this counter advances at a nominally constant rate from zero at the instant the system started. The POSIX equivalent to this counter is something like CLOCK_MONOTONIC or, in Linux, CLOCK_MONOTONIC_RAW. k_uptime_get() provides a millisecond representation of this time.

Applications often need to correlate the Zephyr internal time with external time scales used in daily life, such as local time or Coordinated Universal Time. These systems interpret time in different ways and may have discontinuities due to leap seconds and local time offsets like daylight saving time.

Because of these discontinuities, as well as significant inaccuracies in the clocks underlying the cycle counter, the offset between time estimated from the Zephyr clock and the actual time in a “real” civil time scale is not constant and can vary widely over the runtime of a Zephyr application.

The time utilities API supports:

• converting between time representations

• synchronizing and aligning time scales

For terminology and concepts that support these functions see Concepts Underlying Time Support in Zephyr.

Time Utility APIs

Representation Transformation

Time scale instants can be represented in multiple ways including:

• Seconds since an epoch. POSIX representations of time in this form include time_t and struct timespec, which are generally interpreted as a representation of “UNIX Time”.

• Calendar time as a year, month, day, hour, minutes, and seconds relative to an epoch. POSIX representations of time in this form include struct tm.

Keep in mind that these are simply time representations that must be interpreted relative to a time scale which may be local time, UTC, or some other continuous or discontinuous scale.

Some necessary transformations are available in standard C library routines. For example, time_t measuring seconds since the POSIX EPOCH is converted to struct tm representing calendar time with gmtime(). Sub-second timestamps like struct timespec can also use this to produce the calendar time representation and deal with sub-second offsets separately.

The inverse transformation is not standardized: APIs like mktime() expect information about time zones. Zephyr provides this transformation with timeutil_timegm() and timeutil_timegm64().

Time Representation APIs

Time Scale Synchronization

There are several factors that affect synchronizing time scales:

• The rate of discrete instant representation change. For example Zephyr uptime is tracked in ticks which advance at events that nominally occur at CONFIG_SYS_CLOCK_TICKS_PER_SEC Hertz, while an external time source may provide data in whole or fractional seconds (e.g. microseconds).

• The absolute offset required to align the two scales at a single instant.

• The relative error between observable instants in each scale, required to align multiple instants consistently. For example a reference clock that’s conditioned by a 1-pulse-per-second GPS signal will be much more accurate than a Zephyr system clock driven by a RC oscillator with a +/- 250 ppm error.

Synchronization or alignment between time scales is done with a multi-step process:

• An instant in a time scale is represented by an (unsigned) 64-bit integer, assumed to advance at a fixed nominal rate.

• timeutil_sync_config records the nominal rates of a reference time scale/source (e.g. TAI) and a local time source (e.g. k_uptime_ticks()).

• timeutil_sync_instant records the representation of a single instant in both the reference and local time scales.

• timeutil_sync_state provides storage for an initial instant, a recently received second observation, and a skew that can adjust for relative errors in the actual rate of each time scale.

• timeutil_sync_ref_from_local() and timeutil_sync_local_from_ref() convert instants in one time scale to another taking into account skew that can be estimated from the two instances stored in the state structure by timeutil_sync_estimate_skew().

Time Synchronization APIs

Concepts Underlying Time Support in Zephyr

Terms from ISO/TC 154/WG 5 N0038 (ISO/WD 8601-1) and elsewhere:

• A time axis is a representation of time as an ordered sequence of instants.

• A time scale is a way of representing an instant relative to an origin that serves as the epoch.

• A time scale is monotonic (increasing) if the representation of successive time instants never decreases in value.

• A time scale is continuous if the representation has no abrupt changes in value, e.g. jumping forward or back when going between successive instants.

• Civil time generally refers to time scales that legally defined by civil authorities, like local governments, often to align local midnight to solar time.

Relevant Time Scales

International Atomic Time (TAI) is a time scale based on averaging clocks that count in SI seconds. TAI is a monotonic and continuous time scale.

Universal Time (UT) is a time scale based on Earth’s rotation. UT is a discontinuous time scale as it requires occasional adjustments (leap seconds) to maintain alignment to changes in Earth’s rotation. Thus the difference between TAI and UT varies over time. There are several variants of UT, with UTC being the most common.

UT times are independent of location. UT is the basis for Standard Time (or “local time”) which is the time at a particular location. Standard time has a fixed offset from UT at any given instant, primarily influenced by longitude, but the offset may be adjusted (“daylight saving time”) to align standard time to the local solar time. In a sense local time is “more discontinuous” than UT.

POSIX Time is a time scale that counts seconds since the “POSIX epoch” at 1970-01-01T00:00:00Z (i.e. the start of 1970 UTC). UNIX Time is an extension of POSIX time using negative values to represent times before the POSIX epoch. Both of these scales assume that every day has exactly 86400 seconds. In normal use instants in these scales correspond to times in the UTC scale, so they inherit the discontinuity.

The continuous analogue is UNIX Leap Time which is UNIX time plus all leap-second corrections added after the POSIX epoch (when TAI-UTC was 8 s).

Example of Time Scale Differences

A positive leap second was introduced at the end of 2016, increasing the difference between TAI and UTC from 36 seconds to 37 seconds. There was no leap second introduced at the end of 1999, when the difference between TAI and UTC was only 32 seconds. The following table shows relevant civil and epoch times in several scales:

UTC Date	UNIX time	TAI Date	TAI-UTC	UNIX Leap Time
1970-01-01T00:00:00Z	0	1970-01-01T00:00:08	+8	0
1999-12-31T23:59:28Z	946684768	2000-01-01T00:00:00	+32	946684792
1999-12-31T23:59:59Z	946684799	2000-01-01T00:00:31	+32	946684823
2000-01-01T00:00:00Z	946684800	2000-01-01T00:00:32	+32	946684824
2016-12-31T23:59:59Z	1483228799	2017-01-01T00:00:35	+36	1483228827
2016-12-31T23:59:60Z	undefined	2017-01-01T00:00:36	+36	1483228828
2017-01-01T00:00:00Z	1483228800	2017-01-01T00:00:37	+37	1483228829

Functional Requirements

The Zephyr tick counter has no concept of leap seconds or standard time offsets and is a continuous time scale. However it can be relatively inaccurate, with drifts as much as three minutes per hour (assuming an RC timer with 5% tolerance).

There are two stages required to support conversion between Zephyr time and common human time scales:

• Translation between the continuous but inaccurate Zephyr time scale and an accurate external stable time scale;

• Translation between the stable time scale and the (possibly discontinuous) civil time scale.

The API around timeutil_sync_state_update() supports the first step of converting between continuous time scales.

The second step requires external information including schedules of leap seconds and local time offset changes. This may be best provided by an external library, and is not currently part of the time utility APIs.

Selecting an External Source and Time Scale

If an application requires civil time accuracy within several seconds then UTC could be used as the stable time source. However, if the external source adjusts to a leap second there will be a discontinuity: the elapsed time between two observations taken at 1 Hz is not equal to the numeric difference between their timestamps.

For precise activities a continuous scale that is independent of local and solar adjustments simplifies things considerably. Suitable continuous scales include:

• GPS time: epoch of 1980-01-06T00:00:00Z, continuous following TAI with an offset of TAI-GPS=19 s.

• Bluetooth Mesh time: epoch of 2000-01-01T00:00:00Z, continuous following TAI with an offset of -32.

• UNIX Leap Time: epoch of 1970-01-01T00:00:00Z, continuous following TAI with an offset of -8.

Because C and Zephyr library functions support conversion between integral and calendar time representations using the UNIX epoch, UNIX Leap Time is an ideal choice for the external time scale.

The mechanism used to populate synchronization points is not relevant: it may involve reading from a local high-precision RTC peripheral, exchanging packets over a network using a protocol like NTP or PTP, or processing NMEA messages received a GPS with or without a 1pps signal.