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NTP WG                                                        J. BurbankInternet-Draft                                                  W. KaschObsoletes: RFC4330,RFC 1305                                    JHU/APL(if approved)                                             J. Martin, Ed.Intended status: Standards Track                                DaedelusExpires: April 12, 2010                                         D. Mills                                                             U. Delaware                                                         October 9, 2009Network Time Protocol Version 4 Protocol And Algorithms Specificationdraft-ietf-ntp-ntpv4-proto-13Status of this Memo   This Internet-Draft is submitted to IETF in full conformance with the   provisions ofBCP 78 andBCP 79.  This document may contain material   from IETF Documents or IETF Contributions published or made publicly   available before November 10, 2008.  The person(s) controlling the   copyright in some of this material may not have granted the IETF   Trust the right to allow modifications of such material outside the   IETF Standards Process.  Without obtaining an adequate license from   the person(s) controlling the copyright in such materials, this   document may not be modified outside the IETF Standards Process, and   derivative works of it may not be created outside the IETF Standards   Process, except to format it for publication as an RFC or to   translate it into languages other than English.   Internet-Drafts are working documents of the Internet Engineering   Task Force (IETF), its areas, and its working groups.  Note that   other groups may also distribute working documents as Internet-   Drafts.   Internet-Drafts are draft documents valid for a maximum of six months   and may be updated, replaced, or obsoleted by other documents at any   time.  It is inappropriate to use Internet-Drafts as reference   material or to cite them other than as "work in progress."   The list of current Internet-Drafts can be accessed athttp://www.ietf.org/ietf/1id-abstracts.txt.   The list of Internet-Draft Shadow Directories can be accessed athttp://www.ietf.org/shadow.html.   This Internet-Draft will expire on April 12, 2010.Copyright NoticeBurbank, et al.          Expires April 12, 2010                 [Page 1]

Internet-Draft             NTPv4 Specification              October 2009   Copyright (c) 2009 IETF Trust and the persons identified as the   document authors.  All rights reserved.   This document is subject toBCP 78 and the IETF Trust's Legal   Provisions Relating to IETF Documents in effect on the date of   publication of this document (http://trustee.ietf.org/license-info).   Please review these documents carefully, as they describe your rights   and restrictions with respect to this document.Abstract   The Network Time Protocol (NTP) is widely used to synchronize   computer clocks in the Internet.  This document describes NTP Version   4 (NTPv4), which is backwards compatible with NTP Version 3 (NTPv3)   described inRFC 1305, as well as previous versions of the protocol.   NTPv4 includes a modified protocol header to accommodate the Internet   Protocol Version 6 address family.  NTPv4 includes fundamental   improvements in the mitigation and discipline algorithms which extend   the potential accuracy to the tens of microseconds with modern   workstations and fast LANs.  It includes a dynamic server discovery   scheme, so that in many cases specific server configuration is not   required.  It corrects certain errors in the NTPv3 design and   implementation and includes an optional extension mechanism.Burbank, et al.          Expires April 12, 2010                 [Page 2]

Internet-Draft             NTPv4 Specification              October 2009Table of Contents1.  Introduction  . . . . . . . . . . . . . . . . . . . . . . . .51.1.  Requirements Notation . . . . . . . . . . . . . . . . . .62.  Modes of Operation  . . . . . . . . . . . . . . . . . . . . .63.  Protocol Modes  . . . . . . . . . . . . . . . . . . . . . . .73.1.  Dynamic Server Discovery  . . . . . . . . . . . . . . . .84.  Definitions . . . . . . . . . . . . . . . . . . . . . . . . .95.  Implementation Model  . . . . . . . . . . . . . . . . . . . .116.  Data Types  . . . . . . . . . . . . . . . . . . . . . . . . .137.  Data Structures . . . . . . . . . . . . . . . . . . . . . . .177.1.  Structure Conventions . . . . . . . . . . . . . . . . . .177.2.  Global Parameters . . . . . . . . . . . . . . . . . . . .177.3.  Packet Header Variables . . . . . . . . . . . . . . . . .187.4.  The Kiss-o'-Death Packet  . . . . . . . . . . . . . . . .257.5.  NTP Extension Field Format  . . . . . . . . . . . . . . .268.  On Wire Protocol  . . . . . . . . . . . . . . . . . . . . . .279.  Peer Process  . . . . . . . . . . . . . . . . . . . . . . . .319.1.  Peer Process Variables  . . . . . . . . . . . . . . . . .329.2.  Peer Process Operations . . . . . . . . . . . . . . . . .3410. Clock Filter Algorithm  . . . . . . . . . . . . . . . . . . .3811. System Process  . . . . . . . . . . . . . . . . . . . . . . .4011.1. System Process Variables  . . . . . . . . . . . . . . . .4111.2. System Process Operations . . . . . . . . . . . . . . . .4211.2.1.  Selection Algorithm  . . . . . . . . . . . . . . . .4411.2.2.  Cluster Algorithm  . . . . . . . . . . . . . . . . .4511.2.3.  Combine Algorithm  . . . . . . . . . . . . . . . . .4611.3. Clock Discipline Algorithm  . . . . . . . . . . . . . . .4812. Clock Adjust Process  . . . . . . . . . . . . . . . . . . . .5213. Poll Process  . . . . . . . . . . . . . . . . . . . . . . . .5213.1. Poll Process Variables  . . . . . . . . . . . . . . . . .5213.2. Poll Process Operations . . . . . . . . . . . . . . . . .5314. Simple Network Time Protocol (SNTP) . . . . . . . . . . . . .5515. Security Considerations . . . . . . . . . . . . . . . . . . .5616. IANA Considerations . . . . . . . . . . . . . . . . . . . . .5917. Acknowledgements  . . . . . . . . . . . . . . . . . . . . . .6018. References  . . . . . . . . . . . . . . . . . . . . . . . . .6018.1. Normative References  . . . . . . . . . . . . . . . . . .6018.2. Informative References  . . . . . . . . . . . . . . . . .60Appendix A.  Code Skeleton  . . . . . . . . . . . . . . . . . . .61A.1.  Global Definitions  . . . . . . . . . . . . . . . . . . .62A.1.1.   Definitions, Constants, Parameters . . . . . . . . .62A.1.2.   Packet Data Structures . . . . . . . . . . . . . . .65A.1.3.   Association Data Structures  . . . . . . . . . . . .66A.1.4.   System Data Structures . . . . . . . . . . . . . . .69A.1.5.   Local Clock Data Structures  . . . . . . . . . . . .70A.1.6.   Function Prototypes  . . . . . . . . . . . . . . . .70A.2.  Main Program and Utility Routines . . . . . . . . . . . .71Burbank, et al.          Expires April 12, 2010                 [Page 3]

Internet-Draft             NTPv4 Specification              October 2009A.3.  Kernel Input/Output Interface . . . . . . . . . . . . . .74A.4.  Kernel System Clock Interface . . . . . . . . . . . . . .74A.5.  Peer Process  . . . . . . . . . . . . . . . . . . . . . .76A.5.1.   receive()  . . . . . . . . . . . . . . . . . . . . .77A.5.2.   clock_filter() . . . . . . . . . . . . . . . . . . .84A.5.3.   fast_xmit()  . . . . . . . . . . . . . . . . . . . .88A.5.4.   access() . . . . . . . . . . . . . . . . . . . . . .89A.5.5.   System Process . . . . . . . . . . . . . . . . . . .89A.5.6.   Clock Adjust Process . . . . . . . . . . . . . . . .104A.5.7.   Poll Process . . . . . . . . . . . . . . . . . . . .105   Authors' Addresses  . . . . . . . . . . . . . . . . . . . . . . .112Burbank, et al.          Expires April 12, 2010                 [Page 4]

Internet-Draft             NTPv4 Specification              October 20091.  Introduction   This document defines the Network Time Protocol Version 4 (NTPv4),   which is widely used to synchronize system clocks among a set of   distributed time servers and clients.  It describes the core   architecture, protocol, state machines, data structures and   algorithms.  NTPv4 introduces new functionality to NTPv3, as   described in [RFC1305], and functionality expanded from SNTPv4 as   described in [RFC4330] (SNTPv4 is a subset of NTPv4).  This document   obsoletes [RFC1305], and [RFC4330].  While certain minor changes have   been made in some protocol header fields, these do not affect the   interoperability between NTPv4 and previous versions of NTP and SNTP.   The NTP subnet model includes a number of widely accessible primary   time servers synchronized by wire or radio to national standards.   The purpose of the NTP protocol is to convey timekeeping information   from these primary servers to secondary time servers and clients via   both private networks and the public Internet.  Precisely tuned   algorithms mitigate errors that may result from network disruptions,   server failures and possible hostile actions.  Servers and clients   are configured such that values flow towards clients from the primary   servers at the root via branching secondary servers.   The NTPv4 design overcomes significant shortcomings in the NTPv3   design, corrects certain bugs and incorporates new features.  In   particular, expanded NTP timestamp definitions encourage the use of   the floating double data type throughout the implementation.  As a   result, the time resolution is better than one nanosecond and   frequency resolution is less than one nanosecond per second.   Additional improvements include a new clock discipline algorithm   which is more responsive to system clock hardware frequency   fluctuations.  Typical primary servers using modern machines are   precise within a few tens of microseconds.  Typical secondary servers   and clients on fast LANs are within a few hundred microseconds with   poll intervals up to 1024 seconds, which was the maximum with NTPv3.   With NTPv4, servers and clients are precise within a few tens of   milliseconds with poll intervals up to 36 hours.   The main body of this document describes the core protocol and data   structures necessary to interoperate between conforming   implementations.Appendix A contains a full featured example in the   form of a skeleton program, including data structures and code   segments for the core algorithms as well as the mitigation algorithms   used to enhance reliability and accuracy.  While the skeleton program   and other descriptions in this document apply to a particular   implementation, they are not intended as the only way the required   functions can be implemented.  While the NTPv3 symmetric key   authentication scheme described in this document has been carriedBurbank, et al.          Expires April 12, 2010                 [Page 5]

Internet-Draft             NTPv4 Specification              October 2009   over from NTPv3, the Autokey public key authentication scheme new to   NTPv4 is described in [I-D.ietf-ntp-autokey].   The NTP protocol includes modes of operation described inSection 2   using data types described inSection 6 and data structures described   inSection 7.  The implementation model described inSection 5 is   based on a threaded, multi-process architecture, although other   architectures could be used as well.  The on-wire protocol described   inSection 8 is based on a returnable-time design which depends only   on measured clock offsets, but does not require reliable message   delivery.  Reliable message delivery such as TCP[RFC0793] can   actually make the delivered NTP packet less reliable since retries   would increase the delay value and other errors.  The synchronization   subnet is a self-organizing, hierarchical, master-slave network with   synchronization paths determined by a shortest-path spanning tree and   defined metric.  While multiple masters (primary servers) may exist,   there is no requirement for an election protocol.   This document includes material from [ref9], which contains flow   charts and equations unsuited for RFC format.  There is much   additional information in [ref7], including an extensive technical   analysis and performance assessment of the protocol and algorithms in   this document.  The reference implementation is available at   www.ntp.org.   The remainder of this document contains numerous variables and   mathematical expressions.  Some variables take the form of Greek   characters, which are spelled out by their full case-sensitive name.   For example DELTA refers to the uppercase Greek character, while   delta refers to the lowercase character.  Furthermore, subscripts are   denoted with '_', for example theta_i refers to the lowercase Greek   character theta with subscript i, or phonetically theta sub i.  In   this document all time values are in seconds (s), and all frequencies   will be specified as fractional frequency offsets (FFO) (pure   number).  It is often convenient to express these FFOs in parts per   million (ppm).1.1.  Requirements Notation   The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",   "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this   document are to be interpreted as described in [RFC2119].2.  Modes of Operation   An NTP implementation operates as a primary server, secondary server   or client.  A primary server is synchronized to a reference clockBurbank, et al.          Expires April 12, 2010                 [Page 6]

Internet-Draft             NTPv4 Specification              October 2009   directly traceable to UTC (eg, GPS, Galileo, etc).  A client   synchronizes to one or more upstream servers, but does not provide   synchronization to dependent clients.  A secondary server has one or   more upstream servers and one or more downstream servers or clients.   All servers and clients who are fully NTPv4 compliant MUST implement   the entire suite of algorithms described in this document.  In order   to maintain stability in large NTP subnets, secondary servers SHOULD   be fully NTPv4 compliant.  Alternative algorithms MAY be used, but   their output MUST be identical to the algorithms described in this   specification.3.  Protocol Modes   There are three NTP protocol variants, symmetric, client/server and   broadcast.  Each is associated with an association mode (a   description of the relationship between two NTP speakers) as shown in   Figure 1.  In addition, persistent associations are mobilized upon   startup and are never demobilized.  Ephemeral associations are   mobilized upon the arrival of a packet and are demobilized upon error   or timeout.               +-------------------+--------------+-------------+               |  Association Mode | Assoc. Mode  | Packet Mode |               +-------------------+--------------+-------------+               | Symmetric Active  |       1      | 1 or 2      |               | Symmetric Passive |       2      | 1           |               | Client            |       3      | 4           |               | Server            |       4      | 3           |               | Broadcast Server  |       5      | 5           |               | Broadcast Client  |       6      | N/A         |               +-------------------+--------------+-------------+                  Figure 1: Association and Packet Modes   In the client/server variant a persistent client sends packet mode 4   packets to a server, which returns packet mode 3 packets.  Servers   provide synchronization to one or more clients, but do not accept   synchronization from them.  A server can also be a reference clock   driver which obtains time directly from a standard source such as a   GPS receiver or telephone modem service.  In this variant, clients   pull synchronization from servers.   In the symmetric variant a peer operates as both a server and client   using either a symmetric active or symmetric passive association.  A   persistent symmetric active association sends symmetric active (mode   1) packets to a symmetric active peer association.  Alternatively, an   ephemeral symmetric passive association can be mobilized upon arrivalBurbank, et al.          Expires April 12, 2010                 [Page 7]

Internet-Draft             NTPv4 Specification              October 2009   of a symmetric active packet with no matching association.  That   association sends symmetric passive (mode 2) packets and persists   until error or timeout.  Peers both push and pull synchronization to   and from each other.  For the purposes of this document, a peer   operates like a client, so references to client imply peer as well.   In the broadcast variant a persistent broadcast server association   sends periodic broadcast server (mode 5) packets which can be   received by multiple clients.  Upon reception of a broadcast server   packet without a matching association, an ephemeral broadcast client   (mode 6) association is mobilized and persists until error or   timeout.  It is useful to provide an initial volley where the client   operating in client mode exchanges several packets with the server,   so as to calibrate the propagation delay and to run the Autokey   security protocol, after which the client reverts to broadcast client   mode.  A broadcast server pushes synchronization to clients and other   servers.   Following loosely the conventions established by the telephone   industry, the level of each server in the hierarchy is defined by a   stratum number.  Primary servers are assigned stratum one; secondary   servers at each lower level are assigned stratum numbers one greater   than the preceding level.  As the stratum number increases, its   accuracy degrades depending on the particular network path and system   clock stability.  Mean errors, measured by synchronization distances,   increase approximately in proportion to stratum numbers and measured   roundtrip delay.   As a standard practice, timing network topology should be organized   to avoid timing loops and minimize the synchronization distance.  In   NTP the subnet topology is determined using a variant of the Bellman-   Ford distributed routing algorithm, which computes the shortest-path   spanning tree rooted on the primary servers.  As a result of this   design, the algorithm automatically reorganizes the subnet, so as to   produce the most accurate and reliable time, even when there are   failures in the timing network.3.1.  Dynamic Server Discovery   There are two special associations, manycast client and manycast   server, which provide a dynamic server discovery function.  There are   two types of manycast client associations, persistent and ephemeral.   The persistent manycast client sends client (mode 3) packets to a   designated IPv4 or IPv6 broadcast or multicast group address.   Designated manycast servers within range of the time-to-live (TTL)   field in the packet header listen for packets with that address.  If   a server is suitable for synchronization, it returns an ordinary   server (mode 4) packet using the client's unicast address.  UponBurbank, et al.          Expires April 12, 2010                 [Page 8]

Internet-Draft             NTPv4 Specification              October 2009   receiving this packet, the client mobilizes an ephemeral client (mode   3) association.  The ephemeral client association persists until   error or timeout.   A manycast client continues sending packets to search for a minimum   number of associations.  It starts with a TTL equal to one and   continuously adding one to it until the minimum number of   associations is made or when the TTL reaches a maximum value.  If the   TTL reaches its maximum value and yet not enough associations are   mobilized, the client stops transmission for a time-out period to   clear all associations, and then repeats the search cycle.  If a   minimum number of associations has been mobilized, then the client   starts transmitting one packet per time-out period to maintain the   associations.  Field constraints limit the minimum value to 1 and the   maximum to 255.  These limits may be tuned for individual application   needs.   The ephemeral associations compete among themselves.  As new   ephemeral associations are mobilized, the client runs the mitigation   algorithms described inSection 10 andSection 11.2 for the best   candidates out of the population, the remaining ephemeral   associations are timed out and demobilized.  In this way the   population includes only the best candidates that have most recently   responded with an NTP packet to discipline the system clock.4.  Definitions   A number of technical terms are defined in this section.  A timescale   is a frame of reference where time is expressed as the value of a   monotonically increasing binary counter with an indefinite number of   bits.  It counts in seconds and fractions of a second, when a decimal   point is employed.  The Coordinated Universal Time (UTC) timescale is   defined by ITU-R TF.460[ITU-R_TF.460].  Under the auspices of the   Metre Convention of 1865, in 1975 the CGPM[CGPM] strongly endorsed   the use of UTC as the basis for civil time.   The Coordinated Universal Time (UTC) timescale represents mean solar   time as disseminated by national standards laboratories.  The system   time is represented by the system clock maintained by the hardware   and operating system.  The goal of the NTP algorithms is to minimize   both the time difference and frequency difference between UTC and the   system clock.  When these differences have been reduced below nominal   tolerances, the system clock is said to be synchronized to UTC.   The date of an event is the UTC time at which the event takes place.   Dates are ephemeral values designated with upper case T. Running time   is another timescale that is coincident to the synchronizationBurbank, et al.          Expires April 12, 2010                 [Page 9]

Internet-Draft             NTPv4 Specification              October 2009   function of the NTP program.   A timestamp T(t) represents either the UTC date or time offset from   UTC at running time t.  Which meaning is intended should be clear   from the context.  Let T(t) be the time offset, R(t) the frequency   offset, D(t) the aging rate (first derivative of R(t) with respect to   t).  Then, if T(t_0) is the UTC time offset determined at t = t_0,   the UTC time offset at time t is   T(t) = T(t_0) + R(t_0)(t-t_0) + 1/2 * D(t_0)(t-t_0)^2 + e,   where e is a stochastic error term discussed later in this document.   While the D(t) term is important when characterizing precision   oscillators, it is ordinarily neglected for computer oscillators.  In   this document all time values are in seconds (s) and all frequency   values are in seconds-per-second (s/s).  It is sometimes convenient   to express frequency offsets in parts-per-million (PPM), where 1 PPM   is equal to 10^(-6) seconds/second.   It is important in computer timekeeping applications to assess the   performance of the timekeeping function.  The NTP performance model   includes four statistics which are updated each time a client makes a   measurement with a server.  The offset (theta) represents the   maximum-likelihood time offset of the server clock relative to the   system clock.  The delay (delta) represents the round trip delay   between the client and server.  The dispersion (epsilon) represents   the maximum error inherent in the measurement.  It increases at a   rate equal to the maximum disciplined system clock frequency   tolerance (PHI), typically 15 PPM.  The jitter (psi) is defined as   the root-mean-square (RMS) average of the most recent offset   differences, represents the nominal error in estimating the offset.   While the theta, delta, epsilon, and psi statistics represent   measurements of the system clock relative to each server clock   separately, the NTP protocol includes mechanisms to combine the   statistics of several servers to more accurately discipline and   calibrate the system clock.  The system offset (THETA) represents the   maximum-likelihood offset estimate for the server population.  The   system jitter (PSI) represents the nominal error in estimating the   system offset.  The delta and epsilon statistics are accumulated at   each stratum level from the reference clock to produce the root delay   (DELTA) and root dispersion (EPSILON) statistics.  The   synchronization distance (LAMBDA) equal to EPSILON + DELTA / 2   represents the maximum error due all causes.  The detailed   formulations of these statistics are given inSection 11.2.  They are   available to the dependent applications in order to assess the   performance of the synchronization function.Burbank, et al.          Expires April 12, 2010                [Page 10]

Internet-Draft             NTPv4 Specification              October 20095.  Implementation Model   Figure 2 shows the architecture of a typical, multi-threaded   implementation.  It includes two processes dedicated to each server,   a peer process to receive messages from the server or reference clock   and a poll process to transmit messages to the server or reference   clock.   .....................................................................   . Remote   .   Peer/Poll  .              System          .  Clock   .   . Servers  .   Processes  .              Process         .Discipline.   .          .              .                              . Process  .   .+--------+. +-----------+. +------------+               .          .   .|        |->|           |. |            |               .          .   .|Server 1|  |Peer/Poll 1|->|            |               .          .   .|        |<-|           |. |            |               .          .   .+--------+. +-----------+. |            |               .          .   .          .       ^      . |            |               .          .   .          .       |      . |            |               .          .   .+--------+. +-----------+. |            |  +-----------+.          .   .|        |->|           |. | Selection  |->|           |. +------+ .   .|Server 2|  |Peer/Poll 2|->|    and     |  | Combine   |->| Loop | .   .|        |<-|           |. | Cluster    |  | Algorithm |. |Filter| .   .+--------+. +-----------+. | Algorithms |->|           |. +------+ .   .          .       ^      . |            |  +-----------+.    |     .   .          .       |      . |            |               .    |     .   .+--------+. +-----------+. |            |               .    |     .   .|        |->|           |. |            |               .    |     .   .|Server 3|  |Peer/Poll 3|->|            |               .    |     .   .|        |<-|           |. |            |               .    |     .   .+--------+. +-----------+. +------------+               .    |     .   ....................^.........................................|......                       |                                    .    V     .                       |                                    . +-----+  .                       +--------------------------------------| VFO |  .                                                            . +-----+  .                                                            .  Clock   .                                                            .  Adjust  .                                                            .  Process .                                                            ............                      Figure 2: Implementation Model   These processes operate on a common data structure, called an   association, which contains the statistics described above along with   various other data described inSection 9.  A client sends packets to   one or more servers and then processes returned packets when they are   received.  The server interchanges source and destination addressesBurbank, et al.          Expires April 12, 2010                [Page 11]

Internet-Draft             NTPv4 Specification              October 2009   and ports, overwrites certain fields in the packet and returns it   immediately (in the client/server mode) or at some time later (in the   symmetric modes).  As each NTP message is received, the offset theta   between the peer clock and the system clock is computed along with   the associated statistics delta, epsilon and psi.   The system process includes the selection, cluster and combine   algorithms that mitigate among the various servers and reference   clocks to determine the most accurate and reliable candidates to   synchronize the system clock.  The selection algorithm uses Byzantine   fault detection principles to discard the presumably incorrect   candidates called "falsetickers" from the incident population,   leaving only good candidates called "truechimers".  A truechimer is a   clock that maintains timekeeping accuracy to a previously published   and trusted standard, while a falseticker is a clock that shows   misleading or inconsistent time.  The cluster algorithm uses   statistical principles to find the most accurate set of truechimers.   The combine algorithm computes the final clock offset by   statistically averaging the surviving truechimers.   The clock discipline process is a system process that controls the   time and frequency of the system clock, here represented as a   variable frequency oscillator (VFO).  Timestamps struck from the VFO   close the feedback loop which maintains the system clock time.   Associated with the clock discipline process is the clock adjust   process, which runs once each second to inject a computed time offset   and maintain constant frequency.  The RMS average of past time offset   differences represents the nominal error or system clock jitter.  The   RMS average of past frequency offset differences represents the   oscillator frequency stability or frequency wander.  These terms are   given precise interpretation inSection 11.3.   A client sends messages to each server with a poll interval of 2^tau   seconds, as determined by the poll exponent tau.  In NTPv4, tau   ranges from 4 (16 s) through 17 (36 h).  The value of tau is   determined by the clock discipline algorithm to match the loop time   constant T_c = 2^tau.  In client/server mode the server responds   immediately; however, in symmetric modes each of two peers manages   tau as a function of current system offset and system jitter, so may   not agree with the same value.  It is important that the dynamic   behavior of the clock discipline algorithm be carefully controlled in   order to maintain stability in the NTP subnet at large.  This   requires that the peers agree on a common tau equal to the minimum   poll exponent of both peers.  The NTP protocol includes provisions to   properly negotiate this value.   The implementation model includes some means to set and adjust the   system clock.  The operating system is assumed to provide twoBurbank, et al.          Expires April 12, 2010                [Page 12]

Internet-Draft             NTPv4 Specification              October 2009   functions, one to set the time directly, for example the Unix   settimeofday() function, and another to adjust the time in small   increments advancing or retarding the time by a designated amount,   for example the Unix adjtime() function.  In this and following   references, parentheses following a name indicate reference to a   function rather than a simple variable.  In the intended design the   clock discipline process uses the adjtime() function if the   adjustment is less than a designated threshold, and the   settimeofday() function if above the threshold.  The manner in which   this is done and the value of the threshold as described inSection 10.6.  Data Types   All NTP time values are represented in twos-complement format, with   bits numbered in big-endian (as described inAppendix A of [RFC0791])   fashion from zero starting at the left, or high-order, position.   There are three NTP time formats, a 128-bit date format, a 64-bit   timestamp format and a 32-bit short format, as shown in Figure 3.   The 128-bit date format is used where sufficient storage and word   size are available.  It includes a 64-bit signed seconds field   spanning 584 billion years and a 64-bit fraction field resolving .05   attosecond (i.e., 0.5e-18).  For convenience in mapping between   formats, the seconds field is divided into a 32-bit Era Number field   and a 32-bit Era Offset field.  Eras cannot be produced by NTP   directly, nor is there need to do so.  When necessary, they can be   derived from external means, such as the filesystem or dedicated   hardware.Burbank, et al.          Expires April 12, 2010                [Page 13]

Internet-Draft             NTPv4 Specification              October 2009       0                   1                   2                   3       0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |          Seconds              |           Fraction            |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+                               NTP Short Format       0                   1                   2                   3       0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |                            Seconds                            |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |                            Fraction                           |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+                             NTP Timestamp Format       0                   1                   2                   3       0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |                           Era Number                          |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |                           Era Offset                          |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |                                                               |      |                           Fraction                            |      |                                                               |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+                              NTP Date Format                        Figure 3: NTP Time Formats   The 64-bit timestamp format is used in packet headers and other   places with limited word size.  It includes a 32-bit unsigned seconds   field spanning 136 years and a 32-bit fraction field resolving 232   picoseconds.  The 32-bit short format is used in delay and dispersion   header fields where the full resolution and range of the other   formats are not justified.  It includes a 16-bit unsigned seconds   field and a 16-bit fraction field.   In the date and timestamp formats the prime epoch, or base date of   era 0, is 0 h 1 January 1900 UTC, when all bits are zero.  It should   be noted that strictly speaking, UTC did not exist prior to 1 January   1972, but it is convenient to assume it has existed for all eternity,   even if all knowledge of historic leap seconds has been lost.  Dates   are relative to the prime epoch; values greater than zero representBurbank, et al.          Expires April 12, 2010                [Page 14]

Internet-Draft             NTPv4 Specification              October 2009   times after that date; values less than zero represent times before   it.  Note that the Era Offset field of the date format and the   Seconds field of the timestamp format have the same interpretation.   Timestamps are unsigned values and operations on them produce a   result in the same or adjacent eras.  Era 0 includes dates from the   prime epoch to some time in 2036, when the timestamp field wraps   around and the base date for era 1 is established.  In either format   a value of zero is a special case representing unknown or   unsynchronized time.  Figure 4 shows a number of historic NTP dates   together with their corresponding Modified Julian Day (MJD), NTP era   and NTP timestamp.   +-------------+------------+-----+---------------+------------------+   | Date        | MJD        | NTP | NTP Timestamp | Epoch            |   |             |            | Era | Era Offset    |                  |   +-------------+------------+-----+---------------+------------------+   | 1 Jan -4712 | -2,400,001 | -49 | 1,795,583,104 | 1st day Julian   |   | 1 Jan -1    | -679,306   | -14 | 139,775,744   | 2 BCE            |   | 1 Jan 0     | -678,491   | -14 | 171,311,744   | 1 BCE            |   | 1 Jan 1     | -678,575   | -14 | 202,939,144   | 1 CE             |   | 4 Oct 1582  | -100,851   | -3  | 2,873,647,488 | Last day Julian  |   | 15 Oct 1582 | -100,840   | -3  | 2,874,597,888 | First day        |   |             |            |     |               | Gregorian        |   | 31 Dec 1899 | 15019      | -1  | 4,294,880,896 | Last day NTP Era |   |             |            |     |               | -1               |   | 1 Jan 1900  | 15020      | 0   | 0             | First day NTP    |   |             |            |     |               | Era 0            |   | 1 Jan 1970  | 40,587     | 0   | 2,208,988,800 | First day UNIX   |   | 1 Jan 1972  | 41,317     | 0   | 2,272,060,800 | First day UTC    |   | 31 Dec 1999 | 51,543     | 0   | 3,155,587,200 | Last day 20th    |   |             |            |     |               | Century          |   | 8 Feb 2036  | 64,731     | 1   | 63,104        | First day NTP    |   |             |            |     |               | Era 1            |   +-------------+------------+-----+---------------+------------------+                 Figure 4: Interesting Historic NTP Dates   Let p be the number of significant bits in the second fraction.  The   clock resolution is defined 2^(-p), in seconds.  In order to minimize   bias and help make timestamps unpredictable to an intruder, the non-   significant bits should be set to an unbiased random bit string.  The   clock precision is defined as the running time to read the system   clock, in seconds.  Note that the precision defined in this way can   be larger or smaller than the resolution.  The term rho, representing   the precision used in the protocol, is the larger of the two.   The only arithmetic operation permitted on dates and timestamps isBurbank, et al.          Expires April 12, 2010                [Page 15]

Internet-Draft             NTPv4 Specification              October 2009   twos-complement subtraction, yielding a 127-bit or 63-bit signed   result.  It is critical that the first-order differences between two   dates preserve the full 128-bit precision and the first-order   differences between two timestamps preserve the full 64-bit   precision.  However, the differences are ordinarily small compared to   the seconds span, so they can be converted to floating double format   for further processing and without compromising the precision.   It is important to note that twos-complement arithmetic does not   distinguish between signed and unsigned values (although comparisons   can take sign into account); only the conditional branch instructions   do.  Thus, although the distinction is made between signed dates and   unsigned timestamps, they are processed the same way.  A perceived   hazard with 64-bit timestamp calculations spanning an era, such as   possible in 2036, might result in over-run.  In point of fact, if the   client is set within 68 years of the server before the protocol is   started, correct values are obtained even if the client and server   are in adjacent eras.   Some time values are represented in exponent format, including the   precision, time constant and poll interval.  These are in 8-bit   signed integer format in log2 (log base 2) seconds.  The only   arithmetic operations permitted on them are increment and decrement.   For the purpose of this document and to simplify the presentation, a   reference to one of these variables by name means the exponentiated   value, e.g., the poll interval is 1024 s, while reference by name and   exponent means the actual value, e.g., the poll exponent is 10.   To convert system time in any format to NTP date and timestamp   formats requires that the number of seconds s from the prime epoch to   the system time be determined.  To determine the integer era and   timestamp given s,   era = s / 2^(32) and timestamp = s - era * 2^(32),   which works for positive and negative dates.  To determine s given   the era and timestamp,   s = era * 2^(32) + timestamp.   Converting between NTP and system time can be a little messy, and   beyond the scope of this document.  Note that the number of days in   era 0 is one more than the number of days in most other eras and this   won't happen again until the year 2400 in era 3.   In the description of state variables to follow, explicit reference   to integer type implies a 32-bit unsigned integer.  This simplifies   bounds checks, since only the upper limit needs to be defined.Burbank, et al.          Expires April 12, 2010                [Page 16]

Internet-Draft             NTPv4 Specification              October 2009   Without explicit reference, the default type is 64-bit floating   double.  Exceptions will be noted as necessary.7.  Data Structures   The NTP protocol state machines are defined in the following   sections.  State variables are separated into classes according to   their function in packet headers, peer and poll processes, the system   process and the clock discipline process.  Packet variables represent   the NTP header values in transmitted and received packets.  Peer and   poll variables represent the contents of the association for each   server separately.  System variables represent the state of the   server as seen by its dependent clients.  Clock discipline variables   represent the internal workings of the clock discipline algorithm.   An example is described inAppendix A.7.1.  Structure Conventions   In order to distinguish between different variables of the same name   but used in different processes, the naming convention summarized in   Figure 5 is adopted.  A receive packet variable v is a member of the   packet structure r with fully qualified name r.v.  In a similar   manner x.v is a transmit packet variable, p.v is a peer variable, s.v   is a system variable and c.v is a clock discipline variable.  There   is a set of peer variables for each association; there is only one   set of system and clock variables.                   +------+---------------------------------+                   | Name | Description                     |                   +------+---------------------------------+                   | r.   | receive packet header variable  |                   | x.   | transmit packet header variable |                   | p.   | peer/poll variable              |                   | s.   | system variable                 |                   | c.   | clock discipline variable       |                   +------+---------------------------------+                       Figure 5: Prefix Conventions7.2.  Global Parameters   In addition to the variable classes a number of global parameters are   defined in this document, including those shown with values in   Figure 6.Burbank, et al.          Expires April 12, 2010                [Page 17]

Internet-Draft             NTPv4 Specification              October 2009            +-----------+-------+----------------------------------+            | Name      | Value | Description                      |            +-----------+-------+----------------------------------+            | PORT      | 123   | NTP port number                  |            | VERSION   | 4     | NTP version number                   |            | TOLERANCE | 15e-6 | frequency tolerance PHI (s/s)    |            | MINPOLL   | 4     | minimum poll exponent (16 s)     |            | MAXPOLL   | 17    | maximum poll exponent (36 h)     |            | MAXDISP   | 16    | maximum dispersion (16 s)        |            | MINDISP   | .005  | minimum dispersion increment (s) |            | MAXDIST   | 1     | distance threshold (1 s)         |            | MAXSTRAT  | 16    | maximum stratum number           |            +-----------+-------+----------------------------------+                        Figure 6: Global Parameters   While these are the only global parameters needed for   interoperability, a larger collection is necessary in any   implementation.Appendix A.1.1 contains those used by the skeleton   for the mitigation algorithms, clock discipline algorithm and related   implementation-dependent functions.  Some of these parameter values   are cast in stone, like the NTP port number assigned by the IANA and   the version number assigned NTPv4 itself.  Others like the frequency   tolerance (also called PHI), involve an assumption about the worst   case behavior of a system clock once synchronized and then allowed to   drift when its sources have become unreachable.  The minimum and   maximum parameters define the limits of state variables as described   in later sections of this document.   While shown with fixed values in this document, some implementations   may make them variables adjustable by configuration commands.  For   instance, the reference implementation computes the value of   PRECISION as log2 of the minimum time in several iterations to read   the system clock.7.3.  Packet Header Variables   The most important state variables from an external point of view are   the packet header variables described in Figure 7 and below.  The NTP   packet header consists of an integral number of 32-bit (4 octet)   words in network byte order.  The packet format consists of three   components, the header itself, one or more optional extension fields   and an optional message authentication code (MAC).  The header   component is identical to the NTPv3 header and previous versions.   The optional extension fields are used by the Autokey public key   cryptographic algorithms described in [I-D.ietf-ntp-autokey].  The   optional MAC is used by both Autokey and the symmetric key   cryptographic algorithm described in this RFC.Burbank, et al.          Expires April 12, 2010                [Page 18]

Internet-Draft             NTPv4 Specification              October 2009               +-----------+------------+-----------------------+               | Name      | Formula    | Description           |               +-----------+------------+-----------------------+               | leap      | leap       | leap indicator (LI)   |               | version   | version    | version number (VN)   |               | mode      | mode       | mode                  |               | stratum   | stratum    | stratum               |               | poll      | poll       | poll exponent         |               | precision | rho        | precision exponent    |               | rootdelay | delta_r    | root delay            |               | rootdisp  | epsilon_r  | root dispersion       |               | refid     | refid      | reference ID          |               | reftime   | reftime    | reference timestamp   |               | org       | T1         | origin timestamp      |               | rec       | T2         | receive timestamp     |               | xmt       | T3         | transmit timestamp    |               | dst       | T4         | destination timestamp |               | keyid     | keyid      | key ID                |               | dgst      | dgst       | message digest        |               +-----------+------------+-----------------------+                     Figure 7: Packet Header Variables   The NTP packet is a UDP datagram[RFC0768].  Some fields use multiple   words and others are packed in smaller fields within a word.  The NTP   packet header shown in Figure 8 has 12 words followed by optional   extension fields and finally an optional message authentication code   (MAC) consisting of the key identifier field and message digest   field.Burbank, et al.          Expires April 12, 2010                [Page 19]

Internet-Draft             NTPv4 Specification              October 2009       0                   1                   2                   3       0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |LI | VN  |Mode |    Stratum     |     Poll      |  Precision   |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |                         Root Delay                            |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |                         Root Dispersion                       |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |                          Reference ID                         |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |                                                               |      +                     Reference Timestamp (64)                  +      |                                                               |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |                                                               |      +                      Origin Timestamp (64)                    +      |                                                               |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |                                                               |      +                      Receive Timestamp (64)                   +      |                                                               |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |                                                               |      +                      Transmit Timestamp (64)                  +      |                                                               |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |                                                               |      .                                                               .      .                    Extension Field 1 (variable)               .      .                                                               .      |                                                               |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |                                                               |      .                                                               .      .                    Extension Field 2 (variable)               .      .                                                               .      |                                                               |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |                          Key Identifier                       |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |                                                               |      |                            dgst (128)                         |      |                                                               |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+                      Figure 8: Packet Header FormatBurbank, et al.          Expires April 12, 2010                [Page 20]

Internet-Draft             NTPv4 Specification              October 2009   The extension fields are used to add optional capabilities, for   example, the Autokey security protocol [I-D.ietf-ntp-autokey].  The   extension field format is presented in order that the packet can be   parsed without knowledge of the extension field functions.  The MAC   is used by both Autokey and the symmetric key authentication scheme.   A list of the packet header variables is shown in Figure 7 and   described in detail below.  Except for a minor variation when using   the IPv6 address family, these fields are backwards compatible with   NTPv3.  The packet header fields apply to both transmitted packets (x   prefix) and received packets (r prefix).  In Figure 8 the size of   some multiple-word fields is shown in bits if not the default 32   bits.  The basic header extends from the beginning of the packet to   the end of the Transmit Timestamp field.   The fields and associated packet variables (in parentheses) are   interpreted as follows:   LI Leap Indicator (leap): 2-bit integer warning of an impending leap   second to be inserted or deleted in the last minute of the current   month with values defined in Figure 9.           +-------+----------------------------------------+           | Value | Meaning                                |           +-------+----------------------------------------+           | 0     | no warning                             |           | 1     | last minute of the day has 61 seconds  |           | 2     | last minute of the day has 59 seconds  |           | 3     | unknown (clock unsynchronized)         |           +-------+----------------------------------------+                         Figure 9: Leap Indicator   VN Version Number (version): 3-bit integer representing the NTP   version number, currently 4.   Mode (mode): 3-bit integer representing the mode, with values defined   in Figure 10.Burbank, et al.          Expires April 12, 2010                [Page 21]

Internet-Draft             NTPv4 Specification              October 2009                      +-------+--------------------------+                      | Value | Meaning                  |                      +-------+--------------------------+                      | 0     | reserved                 |                      | 1     | symmetric active         |                      | 2     | symmetric passive        |                      | 3     | client                   |                      | 4     | server                   |                      | 5     | broadcast                |                      | 6     | NTP control message      |                      | 7     | reserved for private use |                      +-------+--------------------------+                       Figure 10: Association Modes   Stratum (stratum): 8-bit integer representing the stratum, with   values defined in Figure 11.        +--------+-----------------------------------------------------+        | Value  | Meaning                                             |        +--------+-----------------------------------------------------+        | 0      | unspecified or invalid                              |        | 1      | primary server (e.g., equipped with a GPS receiver) |        | 2-15   | secondary server (via NTP)                          |        | 16     | unsynchronized                                      |        | 17-255 | reserved                                            |        +--------+-----------------------------------------------------+                         Figure 11: Packet Stratum   It is customary to map the stratum value 0 in received packets to   MAXSTRAT (16) in the peer variable p.stratum and to map p.stratum   values of MAXSTRAT or greater to 0 in transmitted packets.  This   allows reference clocks, which normally appear at stratum 0, to be   conveniently mitigated using the same clock selection algorithms used   for external sources (SeeAppendix A.5.5.1 for an example).   Poll: 8-bit signed integer representing the maximum interval between   successive messages, in log2 seconds.  Suggested default limits for   minimum and maximum poll intervals are 6 and 10, respectively.   Precision: 8-bit signed integer representing the precision of the   system clock, in log2 seconds.  For instance a value of -18   corresponds to a precision of about one microsecond.  The precision   can be determined when the service first starts up as the minimum   time of several iterations to read the system clock.   Root Delay (rootdelay): Total round trip delay to the referenceBurbank, et al.          Expires April 12, 2010                [Page 22]

Internet-Draft             NTPv4 Specification              October 2009   clock, in NTP short format.   Root Dispersion (rootdisp): Total dispersion to the reference clock,   in NTP short format.   Reference ID (refid): 32-bit code identifying the particular server   or reference clock.  The interpretation depends on the value in the   stratum field.  For packet stratum 0 (unspecified or invalid) this is   a four-character ASCII[RFC1345] string, called the kiss code, used   for debugging and monitoring purposes.  For stratum 1 (reference   clock) this is a four-octet, left-justified, zero-padded ASCII string   assigned to the reference clock.  The authoritative list of Reference   Identifiers is maintained by IANA, however any string beginning with   the ASCII character "X" is reserved for unregistered experimentation   and development.  The identifiers in Figure 12 have been used as   ASCII identifiers:     +------+----------------------------------------------------------+     | ID   | Clock Source                                             |     +------+----------------------------------------------------------+     | GOES | Geosynchronous Orbit Environment Satellite               |     | GPS  | Global Position System                                   |     | GAL  | Galileo Positioning System                               |     | PPS  | Generic pulse-per-second                                 |     | IRIG | Inter-Range Instrumentation Group                        |     | WWVB | LF Radio WWVB Ft. Collins, CO 60 kHz                     |     | DCF  | LF Radio DCF77 Mainflingen, DE 77.5 kHz                  |     | HBG  | LF Radio HBG Prangins, HB 75 kHz                         |     | MSF  | LF Radio MSF Anthorn, UK 60 kHz                          |     | JJY  | LF Radio JJY Fukushima, JP 40 kHz, Saga, JP 60 kHz       |     | LORC | MF Radio LORAN C station, 100 kHz                        |     | TDF  | MF Radio Allouis, FR 162 kHz                             |     | CHU  | HF Radio CHU Ottawa, Ontario                             |     | WWV  | HF Radio WWV Ft. Collins, CO                             |     | WWVH | HF Radio WWVH Kauai, HI                                  |     | NIST | NIST telephone modem                                     |     | ACTS | NIST telephone modem                                     |     | USNO | USNO telephone modem                                     |     | PTB  | European telephone modem                                 |     +------+----------------------------------------------------------+                     Figure 12: Reference Identifiers   Above stratum 1 (secondary servers and clients) this is the reference   identifier of the server and can be used to detect timing loops.  If   using the IPv4 address family, the identifier is the four-octet IPv4   address.  If using the IPv6 address family, it is the first four   octets of the MD5 hash of the IPv6 address.  Note that, when usingBurbank, et al.          Expires April 12, 2010                [Page 23]

Internet-Draft             NTPv4 Specification              October 2009   the IPv6 address family on an NTPv4 server with a NTPv3 client, the   Reference Identifier field appears to be a random value and a timing   loop might not be detected.   Reference Timestamp: Time when the system clock was last set or   corrected, in NTP timestamp format.   Origin Timestamp (org): Time at the client when the request departed   for the server, in NTP timestamp format.   Receive Timestamp (rec): Time at the server when the request arrived   from the client, in NTP timestamp format.   Transmit Timestamp (xmt): Time at the server when the response left   for the client, in NTP timestamp format.   Destination Timestamp (dst): Time at the client when the reply   arrived from the server, in NTP timestamp format.   Note: Destination Timestamp field is not included as a header field;   it is determined upon arrival of the packet and made available in the   packet buffer data structure.   If NTP has access to the physical layer, then the timestamps are   associated with the beginning of the symbol after the start of frame.   Otherwise, implementations should attempt to associate the timestamp   to the earliest accessible point in the frame.   The MAC consists of the Key Identifier followed by the Message   Digest.  The message digest, or cryptosum, is calculated as in   [RFC1321] over all NTP header and optional extension fields, but not   the MAC itself.   Extension Field n: SeeSection 7.5 for a description of the format of   this field.   Key Identifier (keyid): 32-bit unsigned integer used by the client   and server to designate a secret 128-bit MD5 key.   Message Digest (digest): 128-bit MD5 hash computed over the key   followed by the NTP packet header and extensions fieds (but not the   Key Identifier or Message Digest fields).   It should be noted that the MAC computation used here differs from   those defined in [RFC1305] and [RFC4330] but is consistent with how   existing implementations generate a MAC.Burbank, et al.          Expires April 12, 2010                [Page 24]

Internet-Draft             NTPv4 Specification              October 20097.4.  The Kiss-o'-Death Packet   If the Stratum field is 0, which implies unspecified or invalid, the   Reference Identifier field can be used to convey messages useful for   status reporting and access control.  These are called Kiss-o'-Death   (KoD) packets and the ASCII messages they convey are called kiss   codes.  The KoD packets got their name because an early use was to   tell clients to stop sending packets that violate server access   controls.  The kiss codes can provide useful information for an   intelligent client, either NTPv4 or SNTPv4.  Kiss codes are encoded   in four-character ASCII strings left justified and zero filled.  The   strings are designed for character displays and log files.  A list of   the currently-defined kiss codes is given in Figure 13.  Recipients   of kiss codes MUST inspect them and in the following cases take these   actions:   a.  For kiss codes: DENY, RSTR the client MUST demobilize any       associations to that server and stop sending packets to that       server;   b.  For kiss code: RATE the client MUST immediately reduce its       polling interval to that server and continue to reduce it each       time it receives a RATE kiss code.   c.  Kiss codes beginning with the ASCII character "X" are for       unregistered experimentation and development and MUST be ignored       if not recognized.   d.  Other than the above conditions, KoD packets have no protocol       significance and are discarded after inspection.Burbank, et al.          Expires April 12, 2010                [Page 25]

Internet-Draft             NTPv4 Specification              October 2009   +------+------------------------------------------------------------+   | Code |                           Meaning                          |   +------+------------------------------------------------------------+   | ACST | The association belongs to a unicast server                |   | AUTH | Server authentication failed                               |   | AUTO | Autokey sequence failed                                    |   | BCST | The association belongs to a broadcast server              |   | CRYP | Cryptographic authentication or identification failed      |   | DENY | Access denied by remote server                             |   | DROP | Lost peer in symmetric mode                                |   | RSTR | Access denied due to local policy                          |   | INIT | The association has not yet synchronized for the first     |   |      | time                                                       |   | MCST | The association belongs to a dynamically discovered server |   | NKEY | No key found. Either the key was never installed or is     |   |      | not trusted                                                |   | RATE | Rate exceeded. The server has temporarily denied access    |   |      | because the client exceeded the rate threshold             |   | RMOT | Alteration of association from a remote host running       |   |      | ntpdc.                                                     |   | STEP | A step change in system time has occurred, but the         |   |      | association has not yet resynchronized                     |   +------+------------------------------------------------------------+                           Figure 13: Kiss Codes   The Receive Timestamp and the Transmit Timestamp (set by the server)   are undefined when in a KoD packet and MUST NOT be relied upon to   have valid values and MUST be discarded.7.5.  NTP Extension Field Format   In NTPv4 one or more extension fields can be inserted after the   header and before the MAC, which is always present when an extension   field is present.  Other than defining the field format, this   document makes no use of the field contents.  An extension field   contains a request or response message in the format shown in   Figure 14.Burbank, et al.          Expires April 12, 2010                [Page 26]

Internet-Draft             NTPv4 Specification              October 2009       0                   1                   2                   3       0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |          Field Type           |            Length             |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      .                                                               .      .                            Value                              .      .                                                               .      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+      |                       Padding (as needed)                     |      +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+                     Figure 14: Extension Field Format   All extension fields are zero-padded to a word (4 octets) boundary.   The Field Type field is specific to the defined function and is not   elaborated here.  While the minimum field length containing required   fields is 4 words (16 octets), a maximum field length remains to be   established.   The Length field is a 16-bit unsigned integer which indicates the   length of the entire extension field in octets, including the Padding   field.8.  On Wire Protocol   The heart of the NTP on-wire protocol is the core mechanism which   exchanges time values between servers, peers and clients.  It is   inherently resistant to lost or duplicate packets.  Data integrity is   provided by the IP and UDP checksums.  No flow control or   retransmission facilities are provided or necessary.  The protocol   uses timestamps, either extracted from packet headers or struck from   the system clock upon the arrival or departure of a packet.   Timestamps are precision data and should be restruck in case of link   level retransmission and corrected for the time to compute a MAC on   transmit.   NTP messages make use of two different communication modes, one-to-   one and one-to-many, commonly referred to as unicast and broadcast.   For the purposes of this document, the term broadcast is interpreted   as any available one-to-many mechanism.  For IPv4 this equates to   either IPv4 broadcast or IPv4 multicast.  For IPv6 this equates to   IPv6 multicast.  For this purpose, IANA has allocated the IPv4   multicast address 224.0.1.1 and the IPv6 multicast address ending   :101, with prefix determined by scoping rules.  Any other non-   allocated multicast address may also be used in addition to these   allocated multicast addresses.Burbank, et al.          Expires April 12, 2010                [Page 27]

Internet-Draft             NTPv4 Specification              October 2009   The on-wire protocol uses four timestamps numbered t1 through t4 and   three state variables org, rec and xmt, as shown in Figure 15.  This   figure shows the most general case where each of two peers, A and B,   independently measure the offset and delay relative to the other.   For purposes of illustration the packet timestamps are shown in lower   case, while the state variables are shown in upper case.  The state   variables are copied from the packet timestamps upon arrival or   departure of a packet.Burbank, et al.          Expires April 12, 2010                [Page 28]

Internet-Draft             NTPv4 Specification              October 2009             t2            t3           t6            t7        +---------+   +---------+   +---------+   +---------+        |    0    |   |    t1   |   |   t3    |   |    t5   |        +---------+   +---------+   +---------+   +---------+        |    0    |   |    t2   |   |   t4    |   |    t6   |  Packet        +---------+   +---------+   +---------+   +---------+ Timestamps        |   t1    |   |t3=clock |   |   t5    |   |t7=clock |        +---------+   +---------+   +---------+   +---------+        |t2=clock |                 |t6=clock |        +---------+                 +---------+                                                               Peer B        +---------+   +---------+   +---------+   +---------+   org  |   T1    |   |    T1   |   | t5<>T1? |   |    T5   |        +---------+   +---------+   +---------+   +---------+   State   rec  |   T2    |   |    T2   |   |   T6    |   |    T6   | Variables        +---------+   +---------+   +---------+   +---------+   xmt  |    0    |   |    T3   |   |  t3=T3? |   |    T7   |        +---------+   +---------+   +---------+   +---------+                  t2      t3                 t6          t7        ---------------------------------------------------------                 /\         \                 /\            \                 /           \                /              \                /             \              /                \               /               \/           /                 \/        ---------------------------------------------------------             t1                t4         t5                  t8            t1            t4            t5             t8        +---------+   +---------+   +---------+   +---------+        |    0    |   |    t1   |   |   t3    |   |    t5   |        +---------+   +---------+   +---------+   +---------+        |    0    |   |    t2   |   |   t4    |   |    t6   |  Packet        +---------+   +---------+   +---------+   +---------+ Timestamps        |t1=clock |   |    t3   |   |t5=clock |   |    t7   |        +---------+   +---------+   +---------+   +---------+                      |t4=clock |                 |t8=clock |                      +---------+                 +---------+                                                               Peer A        +---------+   +---------+   +---------+   +---------+   org  |    0    |   |  t3<>0? |   |   T3    |   | t7<>T3? |        +---------+   +---------+   +---------+   +---------+   State   rec  |    0    |   |    T4   |   |   T4    |   |    T8   | Variables        +---------+   +---------+   +---------+   +---------+   xmt  |   T1    |   |  t1=T1? |   |   T5    |   |  t5=T5? |        +---------+   +---------+   +---------+   +---------+Burbank, et al.          Expires April 12, 2010                [Page 29]

Internet-Draft             NTPv4 Specification              October 2009                        Figure 15: On-Wire Protocol   In the figure the first packet transmitted by A contains only the   origin timestamp t1, which is then copied to T1.  B receives the   packet at t2 and copies t1 to T1 and the receive timestamp t2 to T2.   At this time or some time later at t3, B sends a packet to A   containing t1 and t2 and in addition the transmit timestamp t3.  All   three timestamps are copied to the corresponding state variables.  A   receives the packet at t4 containing the three timestamps t1, t2 and   t3 and in addition the destination timestamp t4.  These four   timestamps are used to compute the offset and delay of B relative to   A, as described below.   Before the xmt and org state variables are updated, two sanity checks   are performed in order to protect against duplicate, bogus or   replayed packets.  In the exchange above, a packet is duplicate or   replay if the transmit timestamp t3 in the packet matches the org   state variable T3.  A packet is bogus if the origin timestamp t1 in   the packet does not match the xmt state variable T1.  In either of   these cases the state variables are updated, then the packet is   discarded.  To protect against replay of the last transmitted packet,   the xmt state variable is set to zero immediately after a successful   bogus check.   The four most recent timestamps, T1 through T4, are used to compute   the offset of B relative to A   theta = T(B) - T(A) = 1/2 * [(T2-T1) + (T3-T4)]   and the round trip delay   delta = T(ABA) = (T4-T1) - (T3-T2).   Note that the quantities within parentheses are computed from 64-bit   unsigned timestamps and result in signed values with 63 significant   bits plus sign.  These values can represent dates from 68 years in   the past to 68 years in the future.  However, the offset and delay   are computed as sums and differences of these values, which contain   62 significant bits and two sign bits, so can represent unambiguous   values from 34 years in the past to 34 years in the future.  In other   words, the time of the client must be set within 34 years of the   server before the service is started.  This is a fundamental   limitation with 64-bit integer arithmetic.   In implementations where floating double arithmetic is available, the   first-order differences can be converted to floating double and the   second-order sums and differences computed in that arithmetic.  Since   the second-order terms are typically very small relative to theBurbank, et al.          Expires April 12, 2010                [Page 30]

Internet-Draft             NTPv4 Specification              October 2009   timestamp magnitudes, there is no loss in significance, yet the   unambiguous range is restored from 34 years to 68 years.   In some scenarios where the initial frequency offset of the client is   relatively large and the actual propagation time small, it is   possible for the delay computation to becomes negative.  For   instance, if the frequency difference is 100 PPM and the interval   T4-T1 is 64 s, the apparent delay is -6.4 ms.  Since negative values   are misleading in subsequent computations, the value of delta should   be clamped not less than s.rho, where s.rho is the system precision   described inSection 11.1, expressed in seconds.   The discussion above assumes the most general case where two   symmetric peers independently measure the offsets and delays between   them.  In the case of a stateless server, the protocol can be   simplified.  A stateless server copies T3 and T4 from the client   packet to T1 and T2 of the server packet and tacks on the transmit   timestamp T3 before sending it to the client.  Additional details for   filling in the remaining protocol fields are given in aSection 9 and   following sections and in the appendix.   Note that the on-wire protocol as described resists replay of a   server response packet.  However, it does not resist replay of the   client request packet, which would result in a server reply packet   with new values of T2 and T3 and result in incorrect offset and   delay.  This vulnerability can be avoided by setting the xmt state   variable to zero after computing the offset and delay.9.  Peer Process   The process descriptions to follow include a listing of the important   state variables followed by an overview of the process operations   implemented as routines.  Frequent reference is made to the skeleton   in the appendix.  The skeleton includes C-language fragments that   describe the functions in more detail.  It includes the parameters,   variables and declarations necessary for a conforming NTPv4   implementation.  However, many additional variables and routines may   be necessary in a working implementation.   The peer process is called upon arrival of a server or peer packet.   It runs the on-wire protocol to determine the clock offset and round   trip delay and in addition computes statistics used by the system and   poll processes.  Peer variables are instantiated in the association   data structure when the structure is initialized and updated by   arriving packets.  There is a peer process, poll process and   association for each server.Burbank, et al.          Expires April 12, 2010                [Page 31]

Internet-Draft             NTPv4 Specification              October 20099.1.  Peer Process Variables   Figure 16, Figure 17, Figure 18 and Figure 19 summarize the common   names, formula names and a short description of the peer variables.   The common names and formula names are interchangeable; formula names   are intended to increase readability of equations in this   specification.  Unless noted otherwise, all peer variables have   assumed prefix p.                 +---------+----------+-----------------------+                 | Name    | Formula  | Description           |                 +---------+----------+-----------------------+                 | srcaddr | srcaddr  | source address        |                 | srcport | srcport  | source port           |                 | dstaddr | dstaddr  | destination address   |                 | dstport | destport | destination port      |                 | keyid   | keyid    | key identifier key ID |                 +---------+----------+-----------------------+              Figure 16: Peer Process Configuration Variables                +-----------+------------+---------------------+                | Name      | Formula    | Description         |                +-----------+------------+---------------------+                | leap      | leap       | leap indicator      |                | version   | version    | version number      |                | mode      | mode       | mode                |                | stratum   | stratum    | stratum             |                | ppoll     | ppoll      | peer poll exponent  |                | rootdelay | delta_r    | root delay          |                | rootdisp  | epsilon_r  | root dispersion     |                | refid     | refid      | reference ID        |                | reftime   | reftime    | reference timestamp |                +-----------+------------+---------------------+                 Figure 17: Peer Process Packet Variables                     +------+---------+--------------------+                     | Name | Formula | Description        |                     +------+---------+--------------------+                     | org  | T1      | origin timestamp   |                     | rec  | T2      | receive timestamp  |                     | xmt  | T3      | transmit timestamp |                     | t    | t       | packet time        |                     +------+---------+--------------------+Burbank, et al.          Expires April 12, 2010                [Page 32]

Internet-Draft             NTPv4 Specification              October 2009                Figure 18: Peer Process Timestamp Variables                     +--------+---------+-----------------+                     | Name   | Formula | Description     |                     +--------+---------+-----------------+                     | offset | theta   | clock offset    |                     | delay  | delta   | roundtrip delay |                     | disp   | epsilon | dispersion      |                     | jitter | psi     | jitter          |                     | filter | filter  | clock filter    |                     | tp     | t_p     | filter time     |                     +--------+---------+-----------------+               Figure 19: Peer Process Statistics Variables   The following configuration variables are normally initialized when   the association is mobilized, either from a configuration file or   upon the arrival of the first packet for an unknown association.   srcaddr: IP address of the remote server or reference clock.  This   becomes the destination IP address in packets sent from this   association.   srcport: UDP port number of the server or reference clock.  This   becomes the destination port number in packets sent from this   association.  When operating in symmetric modes (1 and 2) this field   must contain the NTP port number PORT (123) assigned by the IANA.  In   other modes it can contain any number consistent with local policy.   dstaddr: IP address of the client.  This becomes the source IP   address in packets sent from this association.   dstport: UDP port number of the client, ordinarily the NTP port   number PORT (123) assigned by the IANA.  This becomes the source port   number in packets sent from this association.   keyid: Symmetric key ID for the 128-bit MD5 key used to generate and   verify the MAC.  The client and server or peer can use different   values, but they must map to the same key.   The variables defined in Figure 17 are updated from the packet header   as each packet arrives.  They are interpreted in the same way as the   packet variables of the same names.  It is convenient for later   processing to convert the NTP short format packet values r.rootdelay   and r.rootdisp to floating doubles as peer variables.   The variables defined in Figure 18 include the timestamps exchangedBurbank, et al.          Expires April 12, 2010                [Page 33]

Internet-Draft             NTPv4 Specification              October 2009   by the on-wire protocol inSection 8.  The t variable is the seconds   counter c.t associated with these values.  The c.t variable is   maintained by the clock adjust process described inSection 12.  It   counts the seconds since the service was started.  The variables   defined in Figure 19 include the statistics computed by the   clock_filter() routine described inSection 10.  The tp variable is   the seconds counter associated with these values.9.2.  Peer Process Operations   The receive routine defines the process flow upon the arrival of a   packet.  An example is described by the receive() routine inAppendix A.5.1.  There is no specific method required for access   control, although it is recommended that implementations include such   a scheme, which is similar to many others now in widespread use.  The   access() routine inAppendix A.5.4 describes a method of implementing   access restrictions using an access control list (ACL).  Format   checks require correct field length and alignment, acceptable version   number (1-4) and correct extension field syntax, if present.   There is no specific requirement for authentication; however, if   authentication is implemented, then the MD5 keyed hash algorithm   described in [RFC1321] must be supported.   Next, the association table is searched for matching source address   and source port, for example using the find_assoc() routine inAppendix A.5.1.  Figure 20 is a dispatch table where the columns   correspond to the packet mode and rows correspond to the association   mode.  The intersection of the association and packet modes   dispatches processing to one of the following steps.           +------------------+---------------------------------------+           |                  |              Packet Mode              |           +------------------+-------+-------+-------+-------+-------+           | Association Mode |   1   |   2   |   3   |   4   |   5   |           +------------------+-------+-------+-------+-------+-------+           | No Association 0 | NEWPS | DSCRD | FXMIT | MANY  | NEWBC |           | Symm. Active   1 | PROC  | PROC  | DSCRD | DSCRD | DSCRD |           | Symm. Passive  2 | PROC  | ERR   | DSCRD | DSCRD | DSCRD |           | Client         3 | DSCRD | DSCRD | DSCRD | PROC  | DSCRD |           | Server         4 | DSCRD | DSCRD | DSCRD | DSCRD | DSCRD |           | Broadcast      5 | DSCRD | DSCRD | DSCRD | DSCRD | DSCRD |           | Bcast Client   6 | DSCRD | DSCRD | DSCRD | DSCRD | PROC  |           +------------------+-------+-------+-------+-------+-------+                      Figure 20: Peer Dispatch Table   DSCRD.  This indicates a nonfatal violation of protocol as the resultBurbank, et al.          Expires April 12, 2010                [Page 34]

Internet-Draft             NTPv4 Specification              October 2009   of a programming error, long delayed packet or replayed packet.  The   peer process discards the packet and exits.   ERR.  This indicates a fatal violation of protocol as the result of a   programming error, long delayed packet or replayed packet.  The peer   process discards the packet, demobilizes the symmetric passive   association and exits.   FXMIT.  This indicates a client (mode 3) packet matching no   association (mode 0).  If the destination address is not a broadcast   address, the server constructs a server (mode 4) packet and returns   it to the client without retaining state.  The server packet header   is constructed.  An example is described by the fast_xmit() routine   inAppendix A.5.3.  The packet header is assembled from the receive   packet and system variables as shown in Figure 21.  If the   s.rootdelay and s.rootdisp system variables are stored in floating   double, they must be converted to NTP short format first.                   +-----------------------------------+                   | Packet Variable -->   Variable    |                   +-----------------------------------+                   | r.leap        -->     p.leap      |                   | r.mode        -->     p.mode      |                   | r.stratum     -->     p.stratum   |                   | r.poll        -->     p.ppoll     |                   | r.rootdelay   -->     p.rootdelay |                   | r.rootdisp    -->     p.rootdisp  |                   | r.refid       -->     p.refid     |                   | r.reftime     -->     p.reftime   |                   | r.keyid       -->     p.keyid     |                   +-----------------------------------+                     Figure 21: Receive Packet Header   Note that, if authentication fails, the server returns a special   message called a crypto-NAK.  This message includes the normal NTP   header data shown in Figure 8, but with a MAC consisting of four   octets of zeros.  The client MAY accept or reject the data in the   message.  After these actions the peer process exits.   If the destination address is a multicast address, the sender is   operating in manycast client mode.  If the packet is valid and the   server stratum is less than the client stratum, the server sends an   ordinary server (mode 4) packet, but using its unicast destination   address.  A crypto-NAK is not sent if authentication fails.  After   these actions the peer process exits.   MANY: This indicates a server (mode 4) packet matching noBurbank, et al.          Expires April 12, 2010                [Page 35]

Internet-Draft             NTPv4 Specification              October 2009   association.  Ordinarily, this can happen only as the result of a   manycast server reply to a previously sent multicast client packet.   If the packet is valid, an ordinary client (mode 3) association is   mobilized and operation continues as if the association was mobilized   by the configuration file.   NEWBC.  This indicates a broadcast (mode 5) packet matching no   association.  The client mobilizes either a client (mode 3) or   broadcast client (mode 6) association.  Examples are shown in the   mobilize() and clear() routines inAppendix A.2.  Then the packet is   validated and the peer variables initialized.  An example is provided   by the packet() routine inAppendix A.5.1.1.   If the implementation supports no additional security or calibration   functions, the association mode is set to broadcast client (mode 6)   and the peer process exits.  Implementations supporting public key   authentication MAY run the Autokey or equivalent security protocol.   Implementations SHOULD set the association mode to 3 and run a short   client/server exchange to determine the propagation delay.  Following   the exchange the association mode is set to 6 and the peer process   continues in listen-only mode.  Note the distinction between a mode-6   packet, which is reserved for the NTP monitor and control functions,   and a mode-6 association.   NEWPS.  This indicates a symmetric active (mode 1) packet matching no   association.  The client mobilizes a symmetric passive (mode 2)   association.  An example is shown in the mobilize() and clear()   routines inAppendix A.2.  Processing continues in the PROC section   below.   PROC.  This indicates a packet matching an existing association.  The   packet timestamps are carefully checked to avoid invalid, duplicate   or bogus packets.  Additional checks are summarized in Figure 22.   Note that all packets, including a crypto-NAK, are considered valid   only if they survive these tests.Burbank, et al.          Expires April 12, 2010                [Page 36]

Internet-Draft             NTPv4 Specification              October 2009   +--------------------------+----------------------------------------+   | Packet Type              | Description                            |   +--------------------------+----------------------------------------+   | 1 duplicate packet       | The packet is at best an old duplicate |   |                          | or at worst a replay by a hacker.      |   |                          | This can happen in symmetric modes if  |   |                          | the poll intervals are uneven.         |   | 2 bogus packet           |                                        |   | 3 invalid                | One or more timestamp fields are       |   |                          | invalid. This normally happens in      |   |                          | symmetric modes when one peer sends    |   |                          | the first packet to the other and      |   |                          | before the other has received its      |   |                          | first reply.                           |   | 4 access denied          | The access controls have blacklisted   |   |                          | the source.                            |   | 5 authentication failure | The cryptographic message digest does  |   |                          | not match the MAC.                     |   | 6 unsynchronized         | The server is not synchronized to a    |   |                          | valid source.                          |   | 7 bad header data        | One or more header fields are invalid. |   +--------------------------+----------------------------------------+                      Figure 22: Packet Error Checks   Processing continues by coping the packet variables to the peer   variables as shown in Figure 21.  An example is described by the   packet() routine inAppendix A.5.1.1.  The receive() routine   implements tests 1-5 in Figure 22; the packet() routine implements   tests 6-7.  If errors are found the packet is discarded and the peer   process exits.   The on-wire protocol calculates the clock offset theta and round trip   delay delta from the four most recent timestamps as described inSection 8.  While it is in principle possible to do all calculations   except the first-order timestamp differences in fixed-point   arithmetic, it is much easier to convert the first-order differences   to floating doubles and do the remaining calculations in that   arithmetic, and this will be assumed in the following description.   Next, the 8-bit p.reach shift register in the poll process described   inSection 13 is used to determine whether the server is reachable   and the data are fresh.  The register is shifted left by one bit when   a packet is sent and the rightmost bit is set to zero.  As valid   packets arrive, the rightmost bit is set to one.  If the register   contains any nonzero bits, the server is considered reachable;   otherwise, it is unreachable.  Since the peer poll interval might   have changed since the last packet, the host poll interval isBurbank, et al.          Expires April 12, 2010                [Page 37]

Internet-Draft             NTPv4 Specification              October 2009   reviewed.  An example is provided by the poll_update() routine inAppendix A.5.7.2.   The dispersion statistic epsilon(t) represents the maximum error due   to the frequency tolerance and time since the last packet was sent.   It is initialized   epsilon(t_0) = r.rho + s.rho + PHI * (T4-T1)   when the measurement is made at t_0 according to the seconds counter.   Here r.rho is the packet precision described inSection 7.3 and s.rho   is the system precision described inSection 11.1, both expressed in   seconds.  These terms are necessary to account for the uncertainty in   reading the system clock in both the server and the client.   The dispersion then grows at constant rate PHI; in other words, at   time t, epsilon(t) = epsilon(t_0) + PHI * (t-t_0).  With the default   value PHI = 15 PPM, this amounts to about 1.3 s per day.  With this   understanding, the argument t will be dropped and the dispersion   represented simply as epsilon.  The remaining statistics are computed   by the clock filter algorithm described in the next section.10.  Clock Filter Algorithm   The clock filter algorithm is part of the peer process.  It grooms   the stream of on-wire data to select the samples most likely to   represent accurate time.  The algorithm produces the variables shown   in Figure 19, including the offset (theta), delay (delta), dispersion   (epsilon), jitter (psi) and time of arrival (t).  These data are used   by the mitigation algorithms to determine the best and final offset   used to discipline the system clock.  They are also used to determine   the server health and whether it is suitable for synchronization.   The clock filter algorithm saves the most recent sample tuples   (theta, delta, epsilon, t) in the filter structure, which functions   as an 8-stage shift register.  The tuples are saved in the order that   packets arrive.  Here t is the packet time of arrival according to   the seconds counter and should not be confused with the peer variable   tp.   The following scheme is used to insure sufficient samples are in the   filter and that old stale data are discarded.  Initially, the tuples   of all stages are set to the dummy tuple (0, MAXDISP, MAXDISP, 0).   As valid packets arrive, tuples are shifted into the filter causing   old tuples to be discarded, so eventually only valid tuples remain.   If the three low order bits of the reach register are zero,   indicating three poll intervals have expired with no valid packetsBurbank, et al.          Expires April 12, 2010                [Page 38]

Internet-Draft             NTPv4 Specification              October 2009   received, the poll process calls the clock filter algorithm with a   dummy tuple just as if the tuple had arrived from the network.  If   this persists for eight poll intervals, the register returns to the   initial condition.   In the next step the shift register stages are copied to a temporary   list and the list sorted by increasing delta.  Let i index the stages   starting with the lowest delta.  If the first tuple epoch t_0 is not   later than the last valid sample epoch tp, the routine exits without   affecting the current peer variables.  Otherwise, let epsilon_i be   the dispersion of the ith entry, then                     i=n-1                     ---     epsilon_i      epsilon =       \     ----------                      /        (i+1)                     ---     2                     i=0   is the peer dispersion p.disp.  Note the overload of epsilon, whether   input to the clock filter or output, the meaning should be clear from   context.   The observer should note (a) if all stages contain the dummy tuple   with dispersion MAXDISP, the computed dispersion is a little less   than 16 s, (b) each time a valid tuple is shifted into the register,   the dispersion drops by a little less than half, depending on the   valid tuples dispersion, (c) after the fourth valid packet the   dispersion is usually a little less than 1 s, which is the assumed   value of the MAXDIST parameter used by the selection algorithm to   determine whether the peer variables are acceptable or not.   Let the first stage offset in the sorted list be theta_0; then, for   the other stages in any order, the jitter is the RMS average                          +-----                 -----+^1/2                          |  n-1                      |                          |  ---                      |                  1       |  \                     2  |      psi   =  -------- * |  /    (theta_0-theta_j)   |                (n-1)     |  ---                      |                          |  j=1                      |                          +-----                 -----+   where n is the number of valid tuples in the filter (n > 1).  In   order to insure consistency and avoid divide exceptions in other   computations, the psi is bounded from below by the system precision   s.rho expressed in seconds.  While not in general considered a major   factor in ranking server quality, jitter is a valuable indicator of   fundamental timekeeping performance and network congestion state.  OfBurbank, et al.          Expires April 12, 2010                [Page 39]

Internet-Draft             NTPv4 Specification              October 2009   particular importance to the mitigation algorithms is the peer   synchronization distance, which is computed from the delay and   dispersion.   lambda = (delta / 2) + epsilon.   Note that epsilon and therefore lambda increase at rate PHI.  The   lambda is not a state variable, since lambda is recalculated at each   use.  It is a component of the root synchronization distance used by   the mitigation algorithms as a metric to evaluate the quality of time   available from each server.   It is important to note that, unlike NTPv3, NTPv4 associations do not   show a timeout condition by setting the stratum to 16 and leap   indicator to 3.  The association variables retain the values   determined upon arrival of the last packet.  In NTPv4 lambda   increases with time, so eventually the synchronization distance   exceeds the distance threshold MAXDIST, in which case the association   is considered unfit for synchronization.   An example implementation of the clock filter algorithm is shown in   the clock_filter() routine ofAppendix A.5.2.11.  System Process   As each new sample (theta, delta, epsilon, jitter, t) is produced by   the clock filter algorithm, all peer processes are scanned by the   mitigation algorithms consisting of the selection, cluster, combine   and clock discipline algorithms in the system process.  The selection   algorithm scans all associations and casts off the falsetickers,   which have demonstrably incorrect time, leaving the truechimers as   result.  In a series of rounds the cluster algorithm discards the   association statistically furthest from the centroid until a   specified minimum number of survivors remain.  The combine algorithm   produces the best and final statistics on a weighted average basis.   The final offset is passed to the clock discipline algorithm to steer   the system clock to the correct time.   The cluster algorithm selects one of the survivors as the system   peer.  The associated statistics (theta, delta, epsilon, jitter, t)   are used to construct the system variables inherited by dependent   servers and clients and made available to other applications running   on the same machine.Burbank, et al.          Expires April 12, 2010                [Page 40]

Internet-Draft             NTPv4 Specification              October 200911.1.  System Process Variables   Figure 23 summarizes the common names, formula names and a short   description of each system variable.  Unless noted otherwise, all   variables have assumed prefix s.                +-----------+------------+------------------------+                | Name      | Formula    | Description            |                +-----------+------------+------------------------+                | t         | t          | update time            |                | p         | p          | system peer identifier |                | leap      | leap       | leap indicator         |                | stratum   | stratum    | stratum                |                | precision | rho        | precision              |                | offset    | THETA      | combined offset        |                | jitter    | PSI        | combined jitter        |                | rootdelay | DELTA      | root delay             |                | rootdisp  | EPSILON    | root dispersion        |                | v         | v          | survivor list          |                | refid     | refid      | reference ID           |                | reftime   | reftime    | reference time         |                | NMIN      | 3          | minimum survivors      |                | CMIN      | 1          | minimum candidates     |                +-----------+------------+------------------------+                    Figure 23: System Process Variables   Except for the t, p, offset and jitter variables and the NMIN and   CMIN constants, the variables have the same format and interpretation   as the peer variables of the same name.  The NMIN and CMIN parameters   are used by the selection and cluster algorithms described in the   next section.   The t variable is the seconds counter at the time of the last update.   An example is shown by the clock_update() routine inAppendix A.5.5.4.  The p variable is the system peer identifier   determined by the cluster() routine inSection 11.2.2.  The precision   variable has the same format as the packet variable of the same name.   The precision is defined as the larger of the resolution and time to   read the clock, in log2 units.  For instance, the precision of a   mains-frequency clock incrementing at 60 Hz is 16 ms, even when the   system clock hardware representation is to the nanosecond.   The offset and jitter variables are determined by the combine   algorithm inSection 11.2.3.  These values represent the best and   final offset and jitter used to discipline the system clock.   Initially, all variables are cleared to zero, then the leap is set to   3 (unsynchronized) and stratum is set to MAXSTRAT (16).  RememberBurbank, et al.          Expires April 12, 2010                [Page 41]

Internet-Draft             NTPv4 Specification              October 2009   that MAXSTRAT is mapped to zero in the transmitted packet.11.2.  System Process Operations   Figure 24 summarizes the system process operations performed by the   clock select routine.  The selection algorithm described inSection 11.2.1 produces a majority clique of presumed correct   candidates (truechimers) based on agreement principles.  The cluster   algorithm described inSection 11.2.2 discards outlyers to produce   the most accurate survivors.  The combine algorithm described inSection 11.2.3 provides the best and final offset for the clock   discipline algorithm.  An example is described inAppendix A.5.5.6.   If the selection algorithm cannot produce a majority clique, or if it   cannot produce at least CMIN survivors, the system process exits   without disciplining the system clock.  If successful, the cluster   algorithm selects the statistically best candidate as the system peer   and its variables are inherited as the system variables.Burbank, et al.          Expires April 12, 2010                [Page 42]

Internet-Draft             NTPv4 Specification              October 2009                          +-----------------+                          | clock_select()  |                          +-----------------+   ................................|...........   .                               V          .   .      yes +---------+ +-----------------+ .   .       +--| accept? | | scan candidates | .   .       |  +---------+ |                 | .   .       V        no |  |                 | .   .  +---------+      |  |                 | .   .  | add peer|      |  |                 | .   .  +----------      |  |                 | .   .       |           V  |                 | .   .       +---------->-->|                 | .   .                      |                 | .   . Selection Algorithm  +-----------------+ .   .................................|..........                                    V                       no +-------------------+            +-------------|     survivors?    |            |             +-------------------+            |                       | yes            |                       V            |             +-------------------+            |             | Cluster Algorithm |            |             +-------------------+            |                       |            |                       V            V         yes +-------------------+            |<------------|     n < CMIN?     |            |             +-------------------+            V                       |     +-----------------+            V no     |   s.p = NULL    |  +-------------------+     +-----------------+  |   s.p = v_0.p     |            |             +-------------------+            V                       |     +-----------------+            V     | return (UNSYNC) |  +-------------------+     +-----------------+  |   return (SYNC)   |                          +-------------------+                      Figure 24: Clock Select RoutineBurbank, et al.          Expires April 12, 2010                [Page 43]

Internet-Draft             NTPv4 Specification              October 200911.2.1.  Selection Algorithm   Note that the selection and cluster algorithms are described   separately, but combined in the code skeleton.  The selection   algorithm operates to find an intersection interval containing a   majority clique of truechimers using Byzantine agreement principles   originally proposed by Marzullo [ref6], but modified to improve   accuracy.  An overview of the algorithm is given below and described   in the first half of the clock_select() routine inAppendix A.5.5.1.   First, those servers which are unusable according to the rules of the   protocol are detected and discarded as shown by the accept() routine   inAppendix A.5.5.3.  Next, a set of tuples (p, type, edge) is   generated for the remaining candidates.  Here, p is the association   identifier and type identifies the upper (+1), middle (0) and lower   (-1) endpoints of a correctness interval centered on theta for that   candidate.  This results in three tuples, lowpoint (p, -1, theta -   lambda), midpoint (p, 0, theta) and highpoint (p, +1, theta +   lambda), where lambda is the root synchronization distance.  An   example of this calculation is shown by the rootdist() routine inAppendix A.5.1.1.  The steps of the algorithm are:   1.  For each of m associations, place three tuples as defined above   on the candidate list.   2.  Sort the tuples on the list by the edge component.  Order the   lowpoint, midpoint and highpoint of these intervals from lowest to   highest.  Set the number of falsetickers f = 0.   3.  Set the number of midpoints d = 0.  Set c = 0.  Scan from lowest   endpoint to highest.  Add one to c for every lowpoint, subtract one   for every highpoint, add one to d for every midpoint.  If c >= m - f,   stop; set l = current lowpoint.   4.  Set c = 0.  Scan from highest endpoint to lowest.  Add one to c   for every highpoint, subtract one for every lowpoint, add one to d   for every midpoint.  If c >= m - f, stop; set u = current highpoint.   5.  Is d = f and l < u?  If yes, then follow step 5A; else, follow   step 5B.   5A. Success: the intersection interval is [l, u].   5B. Add one to f.  Is f < (m / 2)?  If yes, then go to step 3 again.   If no, then go to step 6.   6.  Failure; a majority clique could not be found.  There are no   suitable candidates to discipline the system clock.Burbank, et al.          Expires April 12, 2010                [Page 44]

Internet-Draft             NTPv4 Specification              October 2009   The algorithm is described in detail inAppendix A.5.5.1.  Note that   it starts with the assumption that there are no falsetickers (f = 0)   and attempts to find a nonempty intersection interval containing the   midpoints of all correct servers, i.e., truechimers.  If a nonempty   interval cannot be found, it increases the number of assumed   falsetickers by one and tries again.  If a nonempty interval is found   and the number of falsetickers is less than the number of   truechimers, a majority clique has been found and the midpoint of   each truechimer (theta) represents the candidates available to the   cluster algorithm.   If a majority clique is not found, or if the number of truechimers is   less than CMIN, there are insufficient candidates to discipline the   system clock.  CMIN defines the minimum number of servers consistent   with the correctness requirements.  Suspicious operators would set   CMIN to insure multiple redundant servers are available for the   algorithms to mitigate properly.  However, for historic reasons the   default value for CMIN is one.11.2.2.  Cluster Algorithm   The candidates of the majority clique are placed on the survivor list   v in the form of tuples (p, theta_p, psi_p, lambda_p), where p is an   association identifier, theta_p, psi_p, and stratum_p the current   offset, jitter and stratum of association p, respectively, and   lambda_p is a merit factor equal to stratum_p * MAXDIST + lambda,   where lambda is the root synchronization distance for association p.   The list is processed by the cluster algorithm below.  An example is   shown by the second half of the clock_select() algorithm inAppendix A.5.5.1.   1.  Let (p, theta_p, psi_p, lambda_p) represent a survivor candidate.   2.  Sort the candidates by increasing lambda_p.  Let n be the number   of candidates and NMIN the minimum required number of survivors.   3.  For each candidate compute the selection jitter psi_s:             +-----                       -----+^1/2             |        n-1                      |             |        ---                      |             |   1    \                     2  |     psi_s = | ---- * /  (theta_s - theta_j)   |             |  n-1   ---                      |             |        j=1                      |             +-----                       -----+   4.  Select psi_max as the candidate with maximum psi_s.Burbank, et al.          Expires April 12, 2010                [Page 45]

Internet-Draft             NTPv4 Specification              October 2009   5.  Select psi_min as the candidate with minimum psi_p.   6.  Is psi_max < psi_min or n <= NMIN?  If yes, follow step 6A;   otherwise, follow step 6B.   6A. Done.  The remaining candidates on the survivor list are ranked   in the order of preference.  The first entry on the list represents   the system peer; its variables are used later to update the system   variables.   6B. Delete the outlyer candidate with psi_max; reduce n by one and go   back to step 3.   The algorithm operates in a series of rounds where each round   discards the statistical outlyer with maximum selection jitter psi_s.   However, if psi_s is less than the minimum peer jitter psi_p, no   improvement is possible by discarding outlyers.  This and the minimum   number of survivors represent the terminating conditions of the   algorithm.  Upon termination, the final value of psi_max is saved as   the system selection jitter PSI_s for use later.11.2.3.  Combine Algorithm   The clock combine route processes the remaining survivors to produce   the best and final data for the clock discipline algorithm.  The   routine processes peer offset and jitter statistics to produce the   combined system offset THETA and system peer jitter PSI_p, where each   server statistic is weighted by the reciprocal of the root   synchronization distance and the result normalized.  An example is   shown by the clock_combine() routine inAppendix A.5.5.5   The combined THETA is passed to the clock update routine.  The first   candidate on the survivor list is nominated as the system peer with   identifier p.  The system peer jitter PSI_p is a component of the   system jitter PSI.  It is used along with the selection jitter PSI_s   to produce the system jitter:   PSI = [(PSI_s)^2 + (PSI_p)^2]^1/2   Each time an update is received from the system peer, the clock   update routine is called.  By rule, an update is discarded if its   time of arrival p.t is not strictly later than the last update used   s.t.  The labels IGNOR, PANIC, ADJ and STEP refer to return codes   from the local clock routine described in the next section.   IGNORE means the update has been ignored as an outlyer.  PANIC means   the offset is greater than the panic threshold PANICT (1000 s) and   SHOULD cause the program to exit with a diagnostic message to theBurbank, et al.          Expires April 12, 2010                [Page 46]

Internet-Draft             NTPv4 Specification              October 2009   system log.  STEP means the offset is less than the panic threshold,   but greater than the step threshold STEPT (125 ms).  In this case the   clock is stepped to the correct offset, but since this means all peer   data have been invalidated, all associations MUST be reset and the   client begins as at initial start.   ADJ means the offset is less than the step threshold and thus a valid   update.  In this case the system variables are updated from the peer   variables as shown in Figure 25.                  +-------------------------------------------+                  | System Variable <-- System Peer Variable  |        |                  +-------------------------------------------+                  | s.leap      <-- p.leap                    |                  | s.stratum   <-- p.stratum + 1             |                  | s.offset    <-- THETA                     |                  | s.jitter    <-- PSI                       |                  | s.rootdelay <-- p.delta_r + delta         |                  | s.rootdisp  <-- p.epsilon_r + p.epsilon + |                  |                 p.psi + PHI * (s.t - p.t) |                  |                 + |THETA|                 |                  | s.refid     <-- p.refid                   |                  | s.reftime   <-- p.reftime                 |                  | s.t         <-- p.t                       |                  +-------------------------------------------+                    Figure 25: System Variables Update   There is an important detail not shown.  The dispersion increment   (p.epsilon + p.psi + PHI * (s.t - p.t) + |THETA|) is bounded from   below by MINDISP.  In subnets with very fast processors and networks   and very small delay and dispersion this forces a monotone-definite   increase in s.rootdisp (EPSILON), which avoids loops between peers   operating at the same stratum.   The system variables are available to dependent application programs   as nominal performance statistics.  The system offset THETA is the   clock offset relative to the available synchronization sources.  The   system jitter PSI is an estimate of the error in determining this   value, elsewhere called the expected error.  The root delay DELTA is   the total round trip delay relative to the primary server.  The root   dispersion EPSILON is the dispersion accumulated over the network   from the primary server.  Finally, the root synchronization distance   is defined   LAMBDA = EPSILON + DELTA / 2,   which represents the maximum error due all causes and is designatedBurbank, et al.          Expires April 12, 2010                [Page 47]

Internet-Draft             NTPv4 Specification              October 2009   the root synchronization distance.   An example of the clock update routine is provided   inAppendix A.5.5.4.11.3.  Clock Discipline Algorithm   The NTPv4 clock discipline algorithm, shortened to discipline in the   following, functions as a combination of two philosophically quite   different feedback control systems.  In a phase-locked loop (PLL)   design, periodic phase updates at update intervals mu seconds are   used directly to minimize the time error and indirectly the frequency   error.  In a frequency-locked loop (FLL) design, periodic frequency   updates at intervals mu are used directly to minimize the frequency   error and indirectly the time error.  As shown in [ref7], a PLL   usually works better when network jitter dominates, while a FLL works   better when oscillator wander dominates.  This section contains an   outline of how the NTPv4 design works.  An in-depth discussion of the   design principles is provided in [ref7], which also includes a   performance analysis.   The discipline is implemented as the feedback control system shown in   Figure 26.  The variable theta_r represents the combine algorithm   offset (reference phase) and theta_c the VFO offset (control phase).   Each update produces a signal V_d representing the instantaneous   phase difference theta_r - theta_c.  The clock filter for each server   functions as a tapped delay line, with the output taken at the tap   selected by the clock filter algorithm.  The selection, cluster and   combine algorithms combine the data from multiple filters to produce   the signal V_s.  The loop filter, with impulse response F(t),   produces the signal V_c which controls the VFO frequency omega_c and   thus the integral of the phase theta_c which closes the loop.  The   V_c signal is generated by the clock adjust process inSection 12.   The detailed equations that implement these functions are best   presented in the routines ofAppendix A.5.5.6 andAppendix A.5.6.1.Burbank, et al.          Expires April 12, 2010                [Page 48]

Internet-Draft             NTPv4 Specification              October 2009                theta_r + +---------\        +----------------+            NTP --------->|  Phase   \  V_d  |                | V_s                theta_c - | Detector  ------>|  Clock Filter  |----+                +-------->|          /       |                |    |                |         +---------/        +----------------+    |                |                                                  |              -----                                                |             /     \                                               |             | VFO |                                               |             \     /                                               |              -----    .......................................     |                ^      .            Loop Filter              .     |                |      . +---------+   x  +-------------+    .     |                | V_c  . |         |<-----|             |    .     |                +------.-|  Clock  |   y  | Phase/Freq  |<---------+                       . | Adjust  |<-----| Prediction  |    .                       . |         |      |             |    .                       . +---------+      +-------------+    .                       .......................................                 Figure 26: Clock Discipline Feedback Loop   Ordinarily, the pseudo-linear feedback loop described above operates   to discipline the system clock.  However, there are cases where a   nonlinear algorithm offers considerable improvement.  One case is   when the discipline starts without knowledge of the intrinsic clock   frequency.  The pseudo-linear loop takes several hours to develop an   accurate measurement and during most of that time the poll interval   cannot be increased.  The nonlinear loop described below does this in   15 minutes.  Another case is when occasional bursts of large jitter   are present due to congested network links.  The state machine   described below resists error bursts lasting less than 15 minutes.   Figure 27 contains a summary of the variables and parameters   including the variables (lower case) or parameters (upper case) name,   formula name and short description.  Unless noted otherwise, all   variables have assumed prefix c.  The variables t, tc, state, hyster   and count are integers; the remaining variables are floating doubles.   The function of each will be explained in the algorithm descriptions   below.Burbank, et al.          Expires April 12, 2010                [Page 49]

Internet-Draft             NTPv4 Specification              October 2009                +--------+------------+--------------------------+                | Name   | Formula    | Description              |                +--------+------------+--------------------------+                | t      | timer      | seconds counter          |                | offset | theta      | combined offset          |                | resid  | theta_r    | residual offset          |                | freq   | phi        | clock frequency          |                | jitter | psi        | clock offset jitter      |                | wander | omega      | clock frequency wander   |                | tc     | tau        | time constant (log2)     |                | state  | state      | state                    |                | adj    | adj        | frequency adjustment     |                | hyster | hyster     | hysteresis counter       |                | STEPT  | 125        | step threshold (.125 s)  |                | WATCH  | 900        | stepout thresh(s)        |                | PANICT | 1000       | panic threshold (1000 s) |                | LIMIT  | 30         | hysteresis limit         |                | PGATE  | 4          | hysteresis gate          |                | TC     | 16         | time constant scale      |                | AVG    | 8          | averaging constant       |                +--------+------------+--------------------------+           Figure 27: Clock Discipline Variables and Parameters   The process terminates immediately if the offset is greater than the   panic threshold PANICT (1000 s).  The state transition function is   described by the rstclock() function inAppendix A.5.5.7.  Figure 28   shows the state transition function used by this routine.  It has   four columns showing respectively the state name, predicate and   action if the offset theta is less than the step threshold, the   predicate and actions otherwise, and finally some comments.Burbank, et al.          Expires April 12, 2010                [Page 50]

Internet-Draft             NTPv4 Specification              October 2009      +-------+---------------------+-------------------+--------------+      | State | theta < STEP        | theta > STEP      | Comments     |      +-------+---------------------+-------------------+--------------+      | NSET  | ->FREQ              | ->FREQ            | no frequency |      |       | adjust time         | step time         | file         |      +-------+---------------------+-------------------+--------------+      | FSET  | ->SYNC              | ->SYNC            | frequency    |      |       | adjust time         | step time         | file         |      +-------+---------------------+-------------------+--------------+      | SPIK  | ->SYNC              | if < 900 s ->SPIK | outlyer      |      |       | adjust freq         | else ->SYNC       | detected     |      |       | adjust time         | step freq         |              |      |       |                     | step time         |              |      +-------+---------------------+-------------------+--------------+      | FREQ  | if < 900 s ->FREQ   | if < 900 s ->FREQ | initial      |      |       | else ->SYNC         | else ->SYNC       | frequency    |      |       | step freq           | step freq         |              |      |       | adjust time         | adjust time       |              |      +-------+---------------------+-------------------+--------------+      | SYNC  | ->SYNC              | if < 900 s ->SPIK | normal       |      |       | adjust freq         | else ->SYNC       | operation    |      |       | adjust time         | step freq         |              |      |       |                     | step time         |              |      +-------+---------------------+-------------------+--------------+                   Figure 28: State Transition Function   In the table entries the next state is identified by the arrow ->   with the actions listed below.  Actions such as adjust time and   adjust frequency are implemented by the PLL/FLL feedback loop in the   local_clock() routine.  A step clock action is implemented by setting   the clock directly, but this is done only after the stepout threshold   WATCH (900 s) when the offset is more than the step threshold STEPT   (.125 s).  This resists clock steps under conditions of extreme   network congestion.   The jitter (psi) and wander (omega) statistics are computed using an   exponential average with weight factor AVG.  The time constant   exponent (tau) is determined by comparing psi with the magnitude of   the current offset theta.  If the offset is greater than PGATE (4)   times the clock jitter, the hysteresis counter hyster is reduced by   two; otherwise, it is increased by one.  If hyster increases to the   upper limit LIMIT (30), tau is increased by one; if it decreases to   the lower limit -LIMIT (-30), tau is decreased by one.  Normally, tau   hovers near MAXPOLL, but quickly decreases if a temperature spike   causes a frequency surge.Burbank, et al.          Expires April 12, 2010                [Page 51]

Internet-Draft             NTPv4 Specification              October 200912.  Clock Adjust Process   The actual clock adjustment process runs at one-second intervals to   add the frequency correction and a fixed percentage of the residual   offset theta_r.  The theta_r is in effect the exponential decay of   the theta value produced by the loop filter at each update.  The TC   parameter scales the time constant to match the poll interval for   convenience.  Note that the dispersion EPSILON increases by PHI at   each second.   The clock adjust process includes a timer interrupt facility driving   the seconds counter c.t.  It begins at zero when the service starts   and increments once each second.  At each interrupt the   clock_adjust() routine is called to incorporate the clock discipline   time and frequency adjustments, then the associations are scanned to   determine if the seconds counter equals or exceeds the p.next state   variable defined in the next section.  If so, the poll process is   called to send a packet and compute the next p.next value.   An example of the clock adjustment process is shown by the   clock_adjust() routine inAppendix A.5.6.1.13.  Poll Process   Each association supports a poll process that runs at regular   intervals to construct and send packets in symmetric, client and   broadcast server associations.  It runs continuously, whether or not   servers are reachable in order to manage the clock filter and reach   register.13.1.  Poll Process Variables   Figure 29 summarizes the common names, formula names and a short   description of the poll process variables(lower case) and parameters   (upper case).  Unless noted otherwise, all variables have assumed   prefix p.Burbank, et al.          Expires April 12, 2010                [Page 52]

Internet-Draft             NTPv4 Specification              October 2009                   +---------+---------+--------------------+                   | Name    | Formula | Description        |                   +---------+---------+--------------------+                   | hpoll   | hpoll   | host poll exponent |                   | last    | last    | last poll time     |                   | next    | next    | next poll time     |                   | reach   | reach   | reach register     |                   | unreach | unreach | unreach counter    |                   | UNREACH | 24      | unreach limit      |                   | BCOUNT  | 8       | burst count        |                   | BURST   | flag    | burst enable       |                   | IBURST  | flag    | iburst enable      |                   +---------+---------+--------------------+             Figure 29: Poll Process Variables and Parameters   The poll process variables are allocated in the association data   structure along with the peer process variables.  Following is a   detailed description of the variables.  The parameters will be called   out in the following text.   hpoll: signed integer representing the poll exponent, in log2 seconds   last: integer representing the seconds counter when the most recent   packet was sent   next: integer representing the seconds counter when the next packet   is to be sent   reach: 8-bit integer shift register shared by the peer and poll   processes   unreach: integer representing the number of seconds the server has   been unreachable13.2.  Poll Process Operations   As described previously, once each second the clock adjust process is   called.  This routine calls the poll routine for each association in   turn.  If the time for the next poll message is greater than the   seconds counter, the routine returns immediately.  Symmetric (modes   1, 2), client (mode 3) and broadcast server (mode 5) associations   routinely send packets.  A broadcast client (mode 6) association runs   the routine to update the reach and unreach variables, but does not   send packets.  The poll process calls the transmit process to send a   packet.  If in a burst (burst > 0), nothing further is done except   call the poll update routine to set the next poll interval.Burbank, et al.          Expires April 12, 2010                [Page 53]

Internet-Draft             NTPv4 Specification              October 2009   If not in a burst, the reach variable is shifted left by one bit,   with zero replacing the rightmost bit.  If the server has not been   heard for the last three poll intervals, the clock filter routine is   called to increase the dispersion.  An example is shown inAppendix A.5.7.3.   If the BURST flag is lit and the server is reachable and a valid   source of synchronization is available, the client sends a burst of   BCOUNT (8) packets at each poll interval.  The interval between   packets in the burst is two seconds.  This is useful to accurately   measure jitter with long poll intervals.  If the IBURST flag is lit   and this is the first packet sent when the server has been   unreachable, the client sends a burst.  This is useful to quickly   reduce the synchronization distance below the distance threshold and   synchronize the clock.   If the P_MANY flag is lit in the p.flags word of the association,   this is a manycast client association.  Manycast client associations   send client mode packets to designated multicast group addresses at   MINPOLL intervals.  The association starts out with a TTL of 1.  If   by the time of the next poll there are fewer than MINCLOCK servers   have been mobilized, the ttl is increased by one.  If the ttl reaches   the limit TTLMAX, without finding MINCLOCK servers, the poll interval   increases until reaching BEACON, when it starts over from the   beginning.   The poll() routine includes a feature that backs off the poll   interval if the server becomes unreachable.  If reach is nonzero, the   server is reachable and unreach is set to zero; otherwise, unreach is   incremented by one for each poll to the maximum UNREACH.  Thereafter   for each poll hpoll is increased by one, which doubles the poll   interval up to the maximum MAXPOLL determined by the poll_update()   routine.  When the server again becomes reachable, unreach is set to   zero, hpoll is reset to the tc system variable and operation resumes   normally.   A packet is sent by the transmit process.  Some header values are   copied from the peer variables left by a previous packet and others   from the system variables.  Figure 30 shows which values are copied   to each header field.  In those implementations using floating double   data types for root delay and root dispersion, these must be   converted to NTP short format.  All other fields are either copied   intact from peer and system variables or struck as a timestamp from   the system clock.Burbank, et al.          Expires April 12, 2010                [Page 54]

Internet-Draft             NTPv4 Specification              October 2009                   +-----------------------------------+                   | Packet Variable <--   Variable    |                   +-----------------------------------+                   | x.leap        <--     s.leap      |                   | x.version     <--     s.version   |                   | x.mode        <--     s.mode      |                   | x.stratum     <--     s.stratum   |                   | x.poll        <--     s.poll      |                   | x.precision   <--     s.precision |                   | x.rootdelay   <--     s.rootdelay |                   | x.rootdisp    <--     s.rootdisp  |                   | x.refid       <--     s.refid     |                   | x.reftime     <--     s.reftime   |                   | x.org         <--     p.xmt       |                   | x.rec         <--     p.dst       |                   | x.xmt         <--     clock       |                   | x.keyid       <--     p.keyid     |                   | x.digest      <--     md5 digest  |                   +-----------------------------------+                   Figure 30: xmit_packet Packet Header   The poll update routine is called when a valid packet is received and   immediately after a poll message has been sent.  If in a burst, the   poll interval is fixed at 2 s; otherwise, the host poll exponent   hpoll is set to the minimum of ppoll from the last packet received   and hpoll from the poll routine, but not less than MINPOLL nor   greater than MAXPOLL.  Thus the clock discipline can be oversampled,   but not undersampled.  This is necessary to preserve subnet dynamic   behavior and protect against protocol errors.   The poll exponent is converted to an interval which when added to the   last poll time variable determines the value of the next poll time   variable.  Finally, the last poll time variable is set to the current   seconds counter.14.  Simple Network Time Protocol (SNTP)   Primary servers and clients complying with a subset of NTP, called   the Simple Network Time Protocol (SNTPv4) [RFC4330], do not need to   implement the mitigation algorithms described inSection 9 and   following sections.  SNTP is intended for primary servers equipped   with a single reference clock, as well as for clients with a single   upstream server and no dependent clients.  The fully developed NTPv4   implementation is intended for secondary servers with multiple   upstream servers and multiple downstream servers or clients.  Other   than these considerations, NTP and SNTP servers and clients areBurbank, et al.          Expires April 12, 2010                [Page 55]

Internet-Draft             NTPv4 Specification              October 2009   completely interoperable and can be intermixed in NTP subnets.   An SNTP primary server implementing the on-wire protocol described inSection 8 has no upstream servers except a single reference clock.   In principle, it is indistinguishable from an NTP primary server that   has the mitigation algorithms and therefore capable of mitigating   between multiple reference clocks.   Upon receiving a client request, an SNTP primary server constructs   and sends the reply packet as described in Figure 31.  Note that the   dispersion field in the packet header must be updated as described inSection 5.                   +-----------------------------------+                   | Packet Variable <--   Variable    |                   +-----------------------------------+                   | x.leap        <--     s.leap      |                   | x.version     <--     r.version   |                   | x.mode        <--     4           |                   | x.stratum     <--     s.stratum   |                   | x.poll        <--     r.poll      |                   | x.precision   <--     s.precision |                   | x.rootdelay   <--     s.rootdelay |                   | x.rootdisp    <--     s.rootdisp  |                   | x.refid       <--     s.refid     |                   | x.reftime     <--     s.reftime   |                   | x.org         <--     r.xmt       |                   | x.rec         <--     r.dst       |                   | x.xmt         <--     clock       |                   | x.keyid       <--     r.keyid     |                   | x.digest      <--     md5 digest  |                   +-----------------------------------+                    Figure 31: fast_xmit Packet Header   A SNTP client implementing the on-wire protocol has a single server   and no dependent clients.  It can operate with any subset of the NTP   on-wire protocol, the simplest approach using only the transmit   timestamp of the server packet and ignoring all other fields.   However, the additional complexity to implement the full on-wire   protocol is minimal so that a full implementation is encouraged.15.  Security Considerations   NTP security requirements are even more stringent than most other   distributed services.  First, the operation of the authentication   mechanism and the time synchronization mechanism are inextricablyBurbank, et al.          Expires April 12, 2010                [Page 56]

Internet-Draft             NTPv4 Specification              October 2009   intertwined.  Reliable time synchronization requires cryptographic   keys which are valid only over a designated time interval; but, time   intervals can be enforced only when participating servers and clients   are reliably synchronized to UTC.  In addition, the NTP subnet is   hierarchical by nature, so time and trust flow from the primary   servers at the root through secondary servers to the clients at the   leaves.   An NTP client can claim to have authentic time to dependent   applications only if all servers on the path to the primary servers   are authenticated.  In NTP each server authenticates the next lower   stratum servers and authenticates by induction the lowest stratum   (primary) servers.  It is important to note that authentication in   the context of NTP does not necessarily imply the time is correct.  A   NTP client mobilizes a number of concurrent associations with   different servers and uses a crafted agreement algorithm to pluck   truechimers from the population possibly including falsetickers.   The NTP specification assumes the goal of the intruder is to inject   false time values, disrupt the protocol or clog the network, servers   or clients with spurious packets that exhaust resources and deny   service to legitimate applications.  There are a number of defense   mechanisms already built in the NTP architecture, protocol and   algorithms.  The on-wire timestamp exchange scheme is inherently   resistant to spoofing, packet loss and replay attacks.  The   engineered clock filter, selection and clustering algorithms are   designed to defend against evil cliques of Byzantine traitors.  While   not necessarily designed to defeat determined intruders, these   algorithms and accompanying sanity checks have functioned well over   the years to deflect improperly operating but presumably friendly   scenarios.  However, these mechanisms do not securely identify and   authenticate servers to clients.  Without specific further   protection, an intruder can inject any or all of the following   attacks:   1.  An intruder can intercept and archive packets forever, as well as       all the public values ever generated and transmitted over the       net.   2.  An intruder can generate packets faster than the server, network       or client can process them, especially if they require expensive       cryptographic computations.   3.  In a wiretap attack the intruder can intercept, modify and replay       a packet.  However, it cannot permanently prevent onward       transmission of the original packet; that is, it cannot break the       wire, only tell lies and congest it.  Generally, the modified       packet cannot arrive at the victim before the original packet,Burbank, et al.          Expires April 12, 2010                [Page 57]

Internet-Draft             NTPv4 Specification              October 2009       nor does it have the server private keys or identity parameters.   4.  In a middleman or masquerade attack the intruder is positioned       between the server and client, so it can intercept, modify and       replay a packet and prevent onward transmission of the original       packet.  However, the middleman does not have the server private       keys.   The NTP security model assumes the following possible limitations:   1.  The running times for public key algorithms are relatively long       and highly variable.  In general, the performance of the time       synchronization function is badly degraded if these algorithms       must be used for every NTP packet.   2.  In some modes of operation it is not feasible for a server to       retain state variables for every client.  It is however feasible       to regenerated them for a client upon arrival of a packet from       that client.   3.  The lifetime of cryptographic values must be enforced, which       requires a reliable system clock.  However, the sources that       synchronize the system clock must be trusted.  This circular       interdependence of the timekeeping and authentication functions       requires special handling.   4.  Client security functions must involve only public values       transmitted over the net.  Private values must never be disclosed       beyond the machine on which they were created, except in the case       of a special trusted agent (TA) assigned for this purpose.   Unlike the Secure Shell (SSH) security model, where the client must   be securely authenticated to the server, in NTP the server must be   securely authenticated to the client.  In SSH each different   interface address can be bound to a different name, as returned by a   reverse-DNS query.  In this design separate public/private key pairs   may be required for each interface address with a distinct name.  A   perceived advantage of this design is that the security compartment   can be different for each interface.  This allows a firewall, for   instance, to require some interfaces to authenticate the client and   others not.   In the case of NTP as specified herein, NTP broadcast clients are   vulnerable to disruption by misbehaving or hostile SNTP or NTP   broadcast servers elsewhere in the Internet.  Such disruption can be   minimized by several approaches.  Filtering can be employed to limit   the access of NTP clients to known or trusted NTP broadcast servers.   Such filtering will prevent malicious traffic from reaching the NTPBurbank, et al.          Expires April 12, 2010                [Page 58]

Internet-Draft             NTPv4 Specification              October 2009   clients.  Cryptographic authentication at the client will only allow   timing information from properly signed NTP messages to be utilized   in synchronzing its clock.  Higher levels of authentication may be   gained by the use of the Autokey mechanism[I-D.ietf-ntp-autokey].Section 8 describes a potential security concern with the replay of   client requests.  Following the recommendations in that section   provides protection against such attacks.   It should be noted that this specification is describing an existing   implementation.  While the security shortfalls of the MD5 algorithm   are well-known, its use in the NTP specification is consistent with   widescale deployment in the Internet community.16.  IANA Considerations   UDP/TCP Port 123 was previously assigned by IANA for this protocol.   The IANA has assigned the IPv4 multicast group address 224.0.1.1 and   the IPv6 multicast address ending :101 for NTP.  This document   introduces NTP extension fields allowing for the development of   future extensions to the protocol, where a particular extension is to   be identified by the Field Type sub-field within the extension field.   IANA is requested to establish and maintain a registry for Extension   Field Types associated with this protocol, populating this registry   with no initial entries.  As future needs arise, new Extension Field   Types may be defined.  Following the policies outlined in [RFC5226],   new values are to be defined by IETF Review.   The IANA is requested to create a new registry for NTP Reference   Identifier codes.  This should include the current codes defined inSection 7.3, and may be extended on a First-Come-First-Serve (FCFS)   basis.  The format of the registry is:     +------+----------------------------------------------------------+     | ID   | Clock Source                                             |     +------+----------------------------------------------------------+     | GOES | Geosynchronous Orbit Environment Satellite               |     | GPS  | Global Position System                                   |     | ...  | ...                                                      |     +------+----------------------------------------------------------+                   Figure 32: Reference Identifier Codes   The IANA is requested to create a new registry for NTP Kiss-o'-Death   codes.  This should include the current codes defined inSection 7.4,   and may be extended on a FCFS basis.  The format of the registry is:Burbank, et al.          Expires April 12, 2010                [Page 59]

Internet-Draft             NTPv4 Specification              October 2009   +------+------------------------------------------------------------+   | Code |                           Meaning                          |   +------+------------------------------------------------------------+   | ACST | The association belongs to a unicast server                |   | AUTH | Server authentication failed                               |   | ...  | ...                                                        |   +------+------------------------------------------------------------+                           Figure 33: Kiss Codes   For both Reference Identifiers and Kiss-o'-Death codes, IANA is   requested to never assign a code beginning with the character "X", as   this is reserved for experimentation and development.17.  Acknowledgements   The editors would like to thank Karen O'Donoghue, Brian Haberman,   Greg Dowd, Mark Elliot, Harlan Stenn, Yaakov Stein, Stewart Bryant,   and Danny Mayer for technical reviews and specific text contributions   to this document.18.  References18.1.  Normative References   [RFC0768]  Postel, J., "User Datagram Protocol", STD 6,RFC 768,              August 1980.   [RFC0791]  Postel, J., "Internet Protocol", STD 5,RFC 791,              September 1981.   [RFC0793]  Postel, J., "Transmission Control Protocol", STD 7,RFC 793, September 1981.   [RFC1321]  Rivest, R., "The MD5 Message-Digest Algorithm",RFC 1321,              April 1992.   [RFC2119]  Bradner, S., "Key words for use in RFCs to Indicate              Requirement Levels",BCP 14,RFC 2119, March 1997.18.2.  Informative References   [CGPM]     Bureau International des Poids et Mesures, "Comptes Rendus              de la 15e CGPM", 1976.   [I-D.ietf-ntp-autokey]Burbank, et al.          Expires April 12, 2010                [Page 60]

Internet-Draft             NTPv4 Specification              October 2009              Haberman, B. and D. Mills, "Network Time Protocol Version              4 Autokey Specification",draft-ietf-ntp-autokey-06 (work              in progress), July 2009.   [ITU-R_TF.460]              International Telecommunications Union, "ITU-R TF.460              Standard-frequency and time-signal emissions",              February 2002.   [RFC1305]  Mills, D., "Network Time Protocol (Version 3)              Specification, Implementation",RFC 1305, March 1992.   [RFC1345]  Simonsen, K., "Character Mnemonics and Character Sets",RFC 1345, June 1992.   [RFC4330]  Mills, D., "Simple Network Time Protocol (SNTP) Version 4              for IPv4, IPv6 and OSI",RFC 4330, January 2006.   [RFC5226]  Narten, T. and H. Alvestrand, "Guidelines for Writing an              IANA Considerations Section in RFCs",BCP 26,RFC 5226,              May 2008.   [ref6]     Marzullo and S. Owicki, "Maintaining the time in a              distributed system.", ACM Operating Systems Review 19 ,              July 1985.   [ref7]     Mills, D.L., "Computer Network Time Synchronization - the              Network Time Protocol. CRC Press, 304pp.", 2006.   [ref9]     Mills, D.L., Electrical and Computer Engineering Technical              Report 06-6-1, NDSS, June 2006., "Network Time Protocol              Version 4 Reference and Implementation Guide.", 2006.Appendix A.  Code Skeleton   This appendix is intended to describe the protocol and algorithms of   an implementation in a general way using what is called a code   skeleton program.  This consists of a set of definitions, structures   and code fragments which illustrate the protocol operations without   the complexities of an actual implementation of the protocol.  This   program is not an executable and is not designed to run in the   ordinary sense.   Most of the features of the reference implementation are included   here, with the following exceptions: There are no provisions for   reference clocks or public key (Autokey) cryptography.  There is no   huff-n'-puff filter, anti-clockhop hysteresis or monitoringBurbank, et al.          Expires April 12, 2010                [Page 61]

Internet-Draft             NTPv4 Specification              October 2009   provisions.  Many of the values that can be tinkered in the reference   implementation are assumed constants here.  There are only minimal   provisions for the kiss-o'death packet and no responding code.   The program is not intended to be fast or compact, just to   demonstrate the algorithms with sufficient fidelity to understand how   they work.  The code skeleton consists of eight segments, a header   segment included by each of the other segments, plus a code segment   for the main program, kernel I/O and system clock interfaces, and   peer, system, clock_adjust and poll processes.  These are presented   in order below along with definitions and variables specific to each   process.A.1.  Global DefinitionsA.1.1.  Definitions, Constants, Parameters#include <math.h>               /* avoids complaints about sqrt() */#include <sys/time.h>           /* for gettimeofday() and friends */#include <stdlib.h>             /* for malloc() and friends */#include <string.h>             /* for memset() *//* * Data types * * This program assumes the int data type is 32 bits and the long data * type is 64 bits. The native data type used in most calculations is * floating double. The data types used in some packet header fields * require conversion to and from this representation. Some header * fields involve partitioning an octet, here represented by individual * octets. * * The 64-bit NTP timestamp format used in timestamp calculations is * unsigned seconds and fraction with the decimal point to the left of * bit 32. The only operation permitted with these values is * subtraction, yielding a signed 31-bit difference. The 32-bit NTP * short format used in delay and dispersion calculations is seconds and * fraction with the decimal point to the left of bit 16. The only * operations permitted with these values are addition and * multiplication by a constant. * * The IPv4 address is 32 bits, while the IPv6 address is 128 bits. The * message digest field is 128 bits as constructed by the MD5 algorithm. * The precision and poll interval fields are signed log2 seconds. */typedef unsigned long long tstamp;   /* NTP timestamp format */typedef unsigned int tdist;     /* NTP short format */typedef unsigned long ipaddr;   /* IPv4 or IPv6 address */Burbank, et al.          Expires April 12, 2010                [Page 62]

Internet-Draft             NTPv4 Specification              October 2009typedef unsigned long digest;   /* md5 digest */typedef signed char s_char;     /* precision and poll interval (log2) *//* * Timestamp conversion macroni */#define FRIC        65536.                  /* 2^16 as a double */#define D2FP(r)     ((tdist)((r) * FRIC))   /* NTP short */#define FP2D(r)     ((double)(r) / FRIC)#define FRAC       4294967296.             /* 2^32 as a double */#define D2LFP(a)   ((tstamp)((a) * FRAC))  /* NTP timestamp */#define LFP2D(a)   ((double)(a) / FRAC)#define U2LFP(a)   (((unsigned long long) \                       ((a).tv_sec + JAN_1970) << 32) + \                       (unsigned long long) \                       ((a).tv_usec / 1e6 * FRAC))/* * Arithmetic conversions */#define LOG2D(a)        ((a) < 0 ? 1. / (1L << -(a)) : \                            1L << (a))          /* poll, etc. */#define SQUARE(x)       (x * x)#define SQRT(x)         (sqrt(x))/* * Global constants. Some of these might be converted to variables * which can be tinkered by configuration or computed on-fly. For * instance, the reference implementation computes PRECISION on-fly and * provides performance tuning for the defines marked with % below. */#define VERSION         4       /* version number */#define MINDISP         .01     /* % minimum dispersion (s) */#define MAXDISP         16      /* maximum dispersion (s) */#define MAXDIST         1       /* % distance threshold (s) */#define NOSYNC          0x3     /* leap unsync */#define MAXSTRAT        16      /* maximum stratum (infinity metric) */#define MINPOLL         6       /* % minimum poll interval (64 s)*/#define MAXPOLL         17      /* % maximum poll interval (36.4 h) */#define MINCLOCK        3       /* minimum manycast survivors */#define MAXCLOCK        10      /* maximum manycast candidates */#define TTLMAX          8       /* max ttl manycast */#define BEACON          15      /* max interval between beacons */#define PHI             15e-6   /* % frequency tolerance (15 PPM) */#define NSTAGE          8       /* clock register stages */Burbank, et al.          Expires April 12, 2010                [Page 63]

Internet-Draft             NTPv4 Specification              October 2009#define NMAX            50      /* maximum number of peers */#define NSANE           1       /* % minimum intersection survivors */#define NMIN            3       /* % minimum cluster survivors *//* * Global return values */#define TRUE            1       /* boolean true */#define FALSE           0       /* boolean false *//* * Local clock process return codes */#define IGNORE          0       /* ignore */#define SLEW            1       /* slew adjustment */#define STEP            2       /* step adjustment */#define PANIC           3       /* panic - no adjustment *//* * System flags */#define S_FLAGS         0       /* any system flags */#define S_BCSTENAB      0x1     /* enable broadcast client *//* * Peer flags */#define P_FLAGS         0       /* any peer flags */#define P_EPHEM         0x01    /* association is ephemeral */#define P_BURST         0x02    /* burst enable */#define P_IBURST        0x04    /* intial burst enable */#define P_NOTRUST       0x08    /* authenticated access */#define P_NOPEER        0x10    /* authenticated mobilization */#define P_MANY          0x20    /* manycast client *//* * Authentication codes */#define A_NONE          0       /* no authentication */#define A_OK            1       /* authentication OK */#define A_ERROR         2       /* authentication error */#define A_CRYPTO        3       /* crypto-NAK *//* * Association state codes */#define X_INIT          0       /* initialization */#define X_STALE         1       /* timeout */Burbank, et al.          Expires April 12, 2010                [Page 64]

Internet-Draft             NTPv4 Specification              October 2009#define X_STEP          2       /* time step */#define X_ERROR         3       /* authentication error */#define X_CRYPTO        4       /* crypto-NAK received */#define X_NKEY          5       /* untrusted key *//* * Protocol mode definitionss */#define M_RSVD          0       /* reserved */#define M_SACT          1       /* symmetric active */#define M_PASV          2       /* symmetric passive */#define M_CLNT          3       /* client */#define M_SERV          4       /* server */#define M_BCST          5       /* broadcast server */#define M_BCLN          6       /* broadcast client *//* * Clock state definitions */#define NSET            0       /* clock never set */#define FSET            1       /* frequency set from file */#define SPIK            2       /* spike detected */#define FREQ            3       /* frequency mode */#define SYNC            4       /* clock synchronized */#define min(a, b)   ((a) < (b) ? (a) : (b))#define max(a, b)   ((a) < (b) ? (b) : (a))A.1.2.  Packet Data Structures /*  * The receive and transmit packets may contain an optional message  * authentication code (MAC) consisting of a key identifier (keyid) and  * message digest (mac). NTPv4 supports optional extension fields which  * are inserted after the the header and before the MAC, but these are  * not described here.  *  * Receive packet  *  * Note the dst timestamp is not part of the packet itself. It is  * captured upon arrival and returned in the receive buffer along with  * the buffer length and data. Note that some of the char fields are  * packed in the actual header, but the details are omitted here.  */ struct r {         ipaddr  srcaddr;        /* source (remote) address */         ipaddr  dstaddr;        /* destination (local) address */         char    version;        /* version number */Burbank, et al.          Expires April 12, 2010                [Page 65]

Internet-Draft             NTPv4 Specification              October 2009         char    leap;           /* leap indicator */         char    mode;           /* mode */         char    stratum;        /* stratum */         char    poll;           /* poll interval */         s_char  precision;      /* precision */         tdist   rootdelay;      /* root delay */         tdist   rootdisp;       /* root dispersion */         char    refid;          /* reference ID */         tstamp  reftime;        /* reference time */         tstamp  org;            /* origin timestamp */         tstamp  rec;            /* receive timestamp */         tstamp  xmt;            /* transmit timestamp */         int     keyid;          /* key ID */         digest  mac;            /* message digest */         tstamp  dst;            /* destination timestamp */ } r; /*  * Transmit packet  */ struct x {         ipaddr  dstaddr;        /* source (local) address */         ipaddr  srcaddr;        /* destination (remote) address */         char    version;        /* version number */         char    leap;           /* leap indicator */         char    mode;           /* mode */         char    stratum;        /* stratum */         char    poll;           /* poll interval */         s_char  precision;      /* precision */         tdist   rootdelay;      /* root delay */         tdist   rootdisp;       /* root dispersion */         char    refid;          /* reference ID */         tstamp  reftime;        /* reference time */         tstamp  org;            /* origin timestamp */         tstamp  rec;            /* receive timestamp */         tstamp  xmt;            /* transmit timestamp */         int     keyid;          /* key ID */         digest  dgst;           /* message digest */ } x;A.1.3.  Association Data Structures   /*    * Filter stage structure. Note the t member in this and other    * structures refers to process time, not real time. Process time    * increments by one second for every elapsed second of real time.    */   struct f {Burbank, et al.          Expires April 12, 2010                [Page 66]

Internet-Draft             NTPv4 Specification              October 2009           tstamp  t;              /* update time */           double  offset;         /* clock ofset */           double  delay;          /* roundtrip delay */           double  disp;           /* dispersion */   } f;   /*    * Association structure. This is shared between the peer process and    * poll process.    */   struct p {           /*            * Variables set by configuration            */           ipaddr  srcaddr;        /* source (remote) address */           ipaddr  dstaddr;        /* destination (local) address */           char    version;        /* version number */           char    hmode;          /* host mode */           int     keyid;          /* key identifier */           int     flags;          /* option flags */           /*            * Variables set by received packet            */           char    leap;           /* leap indicator */           char    pmode;          /* peer mode */           char    stratum;        /* stratum */           char    ppoll;          /* peer poll interval */           double  rootdelay;      /* root delay */           double  rootdisp;       /* root dispersion */           char    refid;          /* reference ID */           tstamp  reftime;        /* reference time */   #define begin_clear org         /* beginning of clear area */           tstamp  org;            /* originate timestamp */           tstamp  rec;            /* receive timestamp */           tstamp  xmt;            /* transmit timestamp */           /*            * Computed data            */           double  t;              /* update time */           struct f f[NSTAGE];     /* clock filter */           double  offset;         /* peer offset */           double  delay;          /* peer delay */           double  disp;           /* peer dispersion */           double  jitter;         /* RMS jitter */Burbank, et al.          Expires April 12, 2010                [Page 67]

Internet-Draft             NTPv4 Specification              October 2009           /*            * Poll process variables            */           char    hpoll;          /* host poll interval */           int     burst;          /* burst counter */           int     reach;          /* reach register */           int     ttl;            /* ttl (manycast) */   #define end_clear unreach       /* end of clear area */           int     unreach;        /* unreach counter */           int     outdate;        /* last poll time */           int     nextdate;       /* next poll time */   } p;Burbank, et al.          Expires April 12, 2010                [Page 68]

Internet-Draft             NTPv4 Specification              October 2009A.1.4.  System Data Structures   /*    * Chime list. This is used by the intersection algorithm.    */   struct m {                      /* m is for Marzullo */           struct p *p;            /* peer structure pointer */           int     type;           /* high +1, mid 0, low -1 */           double  edge;           /* correctness interval edge */   } m;   /*    * Survivor list. This is used by the clustering algorithm.    */   struct v {           struct p *p;            /* peer structure pointer */           double  metric;         /* sort metric */   } v;   /*    * System structure    */   struct s {           tstamp  t;              /* update time */           char    leap;           /* leap indicator */           char    stratum;        /* stratum */           char    poll;           /* poll interval */           char    precision;      /* precision */           double  rootdelay;      /* root delay */           double  rootdisp;       /* root dispersion */           char    refid;          /* reference ID */           tstamp  reftime;        /* reference time */           struct m m[NMAX];       /* chime list */           struct v v[NMAX];       /* survivor list */           struct p *p;            /* association ID */           double  offset;         /* combined offset */           double  jitter;         /* combined jitter */           int     flags;          /* option flags */           int     n;              /* number of survivors */   } s;Burbank, et al.          Expires April 12, 2010                [Page 69]

Internet-Draft             NTPv4 Specification              October 2009A.1.5.  Local Clock Data Structures   /*    * Local clock structure    */   struct c {           tstamp  t;              /* update time */           int     state;          /* current state */           double  offset;         /* current offset */           double  last;           /* previous offset */           int     count;          /* jiggle counter */           double  freq;           /* frequency */           double  jitter;         /* RMS jitter */           double  wander;         /* RMS wander */   } c;A.1.6.  Function Prototypes  /*   * Peer process   */  void    receive(struct r *);    /* receive packet */  void    packet(struct p *, struct r *); /* process packet */  void    clock_filter(struct p *, double, double, double); /* filter */  double  root_dist(struct p *);  /* calculate root distance */  int     fit(struct p *);        /* determine fitness of server */  void    clear(struct p *, int); /* clear association */  int     access(struct r *);     /* determine access restrictions */  /*   * System process   */  int     main();                 /* main program */  void    clock_select();         /* find the best clocks */  void    clock_update(struct p *); /* update the system clock */  void    clock_combine();        /* combine the offsets */  /*   * Local clock process   */  int     local_clock(struct p *, double); /* clock discipline */  void    rstclock(int, double, double); /* clock state transition */  /*   * Clock adjust process   */  void    clock_adjust();         /* one-second timer process */Burbank, et al.          Expires April 12, 2010                [Page 70]

Internet-Draft             NTPv4 Specification              October 2009  /*   * Poll process   */  void    poll(struct p *);               /* poll process */  void    poll_update(struct p *, int); /* update the poll interval */  void    peer_xmit(struct p *);  /* transmit a packet */  void    fast_xmit(struct r *, int, int); /* transmit a reply packet */  /*   * Utility routines   */  digest  md5(int);               /* generate a message digest */  struct p *mobilize(ipaddr, ipaddr, int, int, int, int); /* mobilize */  struct p *find_assoc(struct r *); /* search the association table */  /*   * Kernel interface   */  struct r *recv_packet();        /* wait for packet */  void    xmit_packet(struct x *); /* send packet */  void    step_time(double);      /* step time */  void    adjust_time(double);    /* adjust (slew) time */  tstamp  get_time();             /* read time */A.2.  Main Program and Utility Routines/* * Definitions */#define PRECISION       -18     /* precision (log2 s)  */#define IPADDR          0       /* any IP address */#define MODE            0       /* any NTP mode */#define KEYID           0       /* any key identifier *//* * main() - main program */intmain(){        struct p *p;            /* peer structure pointer */        struct r *r;            /* receive packet pointer */        /*         * Read command line options and initialize system variables.         * The reference implementation measures the precision specific         * to each machine by measuring the clock increments to read the         * system clock.Burbank, et al.          Expires April 12, 2010                [Page 71]

Internet-Draft             NTPv4 Specification              October 2009         */        memset(&s, sizeof(s), 0);        s.leap = NOSYNC;        s.stratum = MAXSTRAT;        s.poll = MINPOLL;        s.precision = PRECISION;        s.p = NULL;        /*         * Initialize local clock variables         */        memset(&c, sizeof(c), 0);        if (/* frequency file */ 0) {                c.freq = /* freq */ 0;                rstclock(FSET, 0, 0);        } else {                rstclock(NSET, 0, 0);        }        c.jitter = LOG2D(s.precision);        /*         * Read the configuration file and mobilize persistent         * associations with specified addresses, version, mode, key ID         * and flags.         */        while (/* mobilize configurated associations */ 0) {                p = mobilize(IPADDR, IPADDR, VERSION, MODE, KEYID,                    P_FLAGS);        }        /*         * Start the system timer, which ticks once per second. Then         * read packets as they arrive, strike receive timestamp and         * call the receive() routine.         */        while (0) {                r = recv_packet();                r->dst = get_time();                receive(r);        }        return(0);}/* * mobilize() - mobilize and initialize an association */struct pBurbank, et al.          Expires April 12, 2010                [Page 72]

Internet-Draft             NTPv4 Specification              October 2009*mobilize(        ipaddr  srcaddr,        /* IP source address */        ipaddr  dstaddr,        /* IP destination address */        int     version,        /* version */        int     mode,           /* host mode */        int     keyid,          /* key identifier */        int     flags           /* peer flags */        ){        struct p *p;            /* peer process pointer */        /*         * Allocate and initialize association memory         */        p = malloc(sizeof(struct p));        p->srcaddr = srcaddr;        p->dstaddr = dstaddr;        p->version = version;        p->hmode = mode;        p->keyid = keyid;        p->hpoll = MINPOLL;        clear(p, X_INIT);        p->flags = flags;        return (p);}/* * find_assoc() - find a matching association */struct p                        /* peer structure pointer or NULL */*find_assoc(        struct r *r             /* receive packet pointer */        ){        struct p *p;            /* dummy peer structure pointer */        /*         * Search association table for matching source         * address, source port and mode.         */        while (/* all associations */ 0) {                if (r->srcaddr == p->srcaddr && r->mode == p->hmode)                        return(p);        }        return (NULL);}/*Burbank, et al.          Expires April 12, 2010                [Page 73]

Internet-Draft             NTPv4 Specification              October 2009 * md5() - compute message digest */digestmd5(       int     keyid           /* key identifier */       ){       /*        * Compute a keyed cryptographic message digest. The key        * identifier is associated with a key in the local key cache.        * The key is prepended to the packet header and extension fields        * and the result hashed by the MD5 algorithm as described in        *RFC-1321. Return a MAC consisting of the 32-bit key ID        * concatenated with the 128-bit digest.        */       return (/* MD5 digest */ 0);}A.3.  Kernel Input/Output Interface   /*    * Kernel interface to transmit and receive packets. Details are    * deliberately vague and depend on the operating system.    *    * recv_packet - receive packet from network    */   struct r                        /* receive packet pointer*/   *recv_packet() {           return (/* receive packet r */ 0);   }   /*    * xmit_packet - transmit packet to network    */   void   xmit_packet(           struct x *x             /* transmit packet pointer */           )   {           /* send packet x */   }A.4.  Kernel System Clock Interface/* * System clock utility functions *Burbank, et al.          Expires April 12, 2010                [Page 74]

Internet-Draft             NTPv4 Specification              October 2009 * There are three time formats: native (Unix), NTP and floating double. * The get_time() routine returns the time in NTP long format. The Unix * routines expect arguments as a structure of two signed 32-bit words * in seconds and microseconds (timeval) or nanoseconds (timespec). The * step_time() and adjust_time() routines expect signed arguments in * floating double. The simplified code shown here is for illustration * only and has not been verified. */#define JAN_1970        2208988800UL /* 1970 - 1900 in seconds *//* * get_time - read system time and convert to NTP format */tstampget_time(){        struct timeval unix_time;        /*         * There are only two calls on this routine in the program. One         * when a packet arrives from the network and the other when a         * packet is placed on the send queue. Call the kernel time of         * day routine (such as gettimeofday()) and convert to NTP         * format.         */        gettimeofday(&unix_time, NULL);        return (U2LFP(unix_time));}/* * step_time() - step system time to given offset valuet */voidstep_time(        double  offset          /* clock offset */        ){        struct timeval unix_time;        tstamp  ntp_time;        /*         * Convert from double to native format (signed) and add to the         * current time. Note the addition is done in native format to         * avoid overflow or loss of precision.         */        gettimeofday(&unix_time, NULL);        ntp_time = D2LFP(offset) + U2LFP(unix_time);Burbank, et al.          Expires April 12, 2010                [Page 75]

Internet-Draft             NTPv4 Specification              October 2009        unix_time.tv_sec = ntp_time >> 32;        unix_time.tv_usec = (long)(((ntp_time - unix_time.tv_sec) <<            32) / FRAC * 1e6);        settimeofday(&unix_time, NULL);}/* * adjust_time() - slew system clock to given offset value */voidadjust_time(        double  offset          /* clock offset */        ){        struct timeval unix_time;        tstamp  ntp_time;        /*         * Convert from double to native format (signed) and add to the         * current time.         */        ntp_time = D2LFP(offset);        unix_time.tv_sec = ntp_time >> 32;        unix_time.tv_usec = (long)(((ntp_time - unix_time.tv_sec) <<            32) / FRAC * 1e6);        adjtime(&unix_time, NULL);}A.5.  Peer Process  /*   * A crypto-NAK packet includes the NTP header followed by a MAC   * consisting only of the key identifier with value zero. It tells the   * receiver that a prior request could not be properly authenticated,   * but the NTP header fields are correct.   *   * A kiss-o'-death packet is an NTP header with leap 0x3 (NOSYNC) and   * stratum 16 (MAXSTRAT. It tells the receiver that something drastic   * has happened, as revealed by the kiss code in the refid field. The   * NTP header fields may or may not be correct.   */  /*   * Peer process parameters and constants   */  #define SGATE           3       /* spike gate (clock filter */  #define BDELAY          .004    /* broadcast delay (s) */Burbank, et al.          Expires April 12, 2010                [Page 76]

Internet-Draft             NTPv4 Specification              October 2009  /*   * Dispatch codes   */  #define ERR             -1      /* error */  #define DSCRD           0       /* discard packet */  #define PROC            1       /* process packet */  #define BCST            2       /* broadcast packet */  #define FXMIT           3       /* client packet */  #define MANY            4       /* manycast packet */  #define NEWPS           5       /* new symmetric passive client */  #define NEWBC           6       /* new broadcast client */  /*   * Dispatch matrix   *              active  passv  client server bcast */  int table[7][5] = {  /* nopeer  */   { NEWPS, DSCRD, FXMIT, MANY, NEWBC },  /* active  */   { PROC,  PROC,  DSCRD, DSCRD, DSCRD },  /* passv   */   { PROC,  ERR,   DSCRD, DSCRD, DSCRD },  /* client  */   { DSCRD, DSCRD, DSCRD, PROC,  DSCRD },  /* server  */   { DSCRD, DSCRD, DSCRD, DSCRD, DSCRD },  /* bcast   */   { DSCRD, DSCRD, DSCRD, DSCRD, DSCRD },  /* bclient */   { DSCRD, DSCRD, DSCRD, DSCRD, PROC}  };  /*   * Miscellaneous macroni   *   * This macro defines the authentication state. If x is 0,   * authentication is optional, otherwise it is required.   */  #define AUTH(x, y)      ((x) ? (y) == A_OK : (y) == A_OK || \                              (y) == A_NONE)  /*   * These are used by the clear() routine   */  #define BEGIN_CLEAR(p)  ((char *)&((p)->begin_clear))  #define END_CLEAR(p)    ((char *)&((p)->end_clear))  #define LEN_CLEAR       (END_CLEAR((struct p *)0) - \                              BEGIN_CLEAR((struct p *)0))A.5.1.  receive()/* * receive() - receive packet and decode modes */voidBurbank, et al.          Expires April 12, 2010                [Page 77]

Internet-Draft             NTPv4 Specification              October 2009receive(        struct r *r             /* receive packet pointer */        ){        struct p *p;            /* peer structure pointer */        int     auth;           /* authentication code */        int     has_mac;        /* size of MAC */        int     synch;          /* synchronized switch */        /*         * Check access control lists. The intent here is to implement a         * whitelist of those IP addresses specifically accepted and/or         * a blacklist of those IP addresses specifically rejected.         * There could be different lists for authenticated clients and         * unauthenticated clients.         */        if (!access(r))                return;                 /* access denied */        /*         * The version must not be in the future. Format checks include         * packet length, MAC length and extension field lengths, if         * present.         */        if (r->version > VERSION /* or format error */)                return;                 /* format error */        /*         * Authentication is conditioned by two switches which can be         * specified on a per-client basis.         *         * P_NOPEER     do not mobilize an association unless         *              authenticated         * P_NOTRUST    do not allow access unless authenticated         *              (implies P_NOPEER)         *         * There are four outcomes:         *         * A_NONE       the packet has no MAC         * A_OK         the packet has a MAC and authentication         *               succeeds         * A_ERROR      the packet has a MAC and authentication fails         * A_CRYPTO     crypto-NAK. The MAC has four octets only.         *         * Note: The AUTH(x, y) macro is used to filter outcomes. If x         * is zero, acceptable outcomes of y are NONE and OK. If x is         * one, the only acceptable outcome of y is OK.         */Burbank, et al.          Expires April 12, 2010                [Page 78]

Internet-Draft             NTPv4 Specification              October 2009        has_mac = /* length of MAC field */ 0;        if (has_mac == 0) {                auth = A_NONE;          /* not required */        } else if (has_mac == 4) {                auth = A_CRYPTO;       /* crypto-NAK */        } else {                if (r->mac != md5(r->keyid))                        auth = A_ERROR; /* auth error */                else                        auth = A_OK;    /* auth OK */        }        /*         * Find association and dispatch code. If there is no         * association to match, the value of p->hmode is assumed NULL.         */        p = find_assoc(r);        switch(table[(unsigned int)(p->hmode)][(unsigned int)(r->mode)]) {        /*         * Client packet and no association. Send server reply without         * saving state.         */        case FXMIT:                /*                 * If unicast destination address, send server packet.                 * If authentication fails, send a crypto-NAK packet.                 */                /* not multicast dstaddr */                if (0) {                        if (AUTH(p->flags & P_NOTRUST, auth))                                fast_xmit(r, M_SERV, auth);                        else if (auth == A_ERROR)                                fast_xmit(r, M_SERV, A_CRYPTO);                        return;         /* M_SERV packet sent */                }                /*                 * This must be manycast. Do not respond if we are not                 * synchronized or if our stratum is above the                 * manycaster.                 */                if (s.leap == NOSYNC || s.stratum > r->stratum)                        return;                /*Burbank, et al.          Expires April 12, 2010                [Page 79]

Internet-Draft             NTPv4 Specification              October 2009                 * Respond only if authentication is ok. Note that the                 * unicast address is used, not the multicast.                 */                if (AUTH(p->flags & P_NOTRUST, auth))                        fast_xmit(r, M_SERV, auth);                return;        /*         * New manycast client ephemeral association. It is mobilized in         * the same version as in the packet. If authentication fails,         * ignore the packet. Verify the server packet by comparing the         * r->org timestamp in the packet with the p->xmt timestamp in         * the multicast client association. If they match, the server         * packet is authentic. Details omitted.         */        case MANY:                if (!AUTH(p->flags & (P_NOTRUST | P_NOPEER), auth))                        return;         /* authentication error */                p = mobilize(r->srcaddr, r->dstaddr, r->version, M_CLNT,                    r->keyid, P_EPHEM);                break;       /*        * New symmetric passive association. It is mobilized in the same        * version as in the packet. If authentication fails, send a        * crypto-NAK packet. If restrict no-moblize, send a symmetric        * active packet instead.        */        case NEWPS:                if (!AUTH(p->flags & P_NOTRUST, auth)) {                        if (auth == A_ERROR)                                fast_xmit(r, M_SACT, A_CRYPTO);                        return;         /* crypto-NAK packet sent */                }                if (!AUTH(p->flags & P_NOPEER, auth)) {                        fast_xmit(r, M_SACT, auth);                        return;         /* M_SACT packet sent */                }                p = mobilize(r->srcaddr, r->dstaddr, r->version, M_PASV,                    r->keyid, P_EPHEM);                break;        /*         * New broadcast client association. It is mobilized in the same         * version as in the packet. If authentication fails, ignore the         * packet. Note this code does not support the initial volley         * feature in the reference implementation.Burbank, et al.          Expires April 12, 2010                [Page 80]

Internet-Draft             NTPv4 Specification              October 2009         */        case NEWBC:                if (!AUTH(p->flags & (P_NOTRUST | P_NOPEER), auth))                        return;         /* authentication error */                if (!(s.flags & S_BCSTENAB))                        return;         /* broadcast not enabled */                p = mobilize(r->srcaddr, r->dstaddr, r->version, M_BCLN,                    r->keyid, P_EPHEM);                break;                  /* processing continues */        /*         * Process packet. Placeholdler only.         */        case PROC:                break;                  /* processing continues */        /*         * Invalid mode combination. We get here only in case of         * ephemeral associations, so the correct action is simply to         * toss it.         */        case ERR:                clear(p, X_ERROR);                return;                 /* invalid mode combination */        /*         * No match; just discard the packet.         */        case DSCRD:                return;                 /* orphan abandoned */        }        /*         * Next comes a rigorous schedule of timestamp checking. If the         * transmit timestamp is zero, the server is horribly broken.         */        if (r->xmt == 0)                return;                 /* invalid timestamp */        /*         * If the transmit timestamp duplicates a previous one, the         * packet is a replay.         */        if (r->xmt == p->xmt)                return;                 /* duplicate packet */Burbank, et al.          Expires April 12, 2010                [Page 81]

Internet-Draft             NTPv4 Specification              October 2009        /*         * If this is a broadcast mode packet, skip further checking.         * If the origin timestamp is zero, the sender has not yet heard         * from us. Otherwise, if the origin timestamp does not match         * the transmit timestamp, the packet is bogus.         */        synch = TRUE;        if (r->mode != M_BCST) {                if (r->org == 0)                        synch = FALSE;  /* unsynchronized */                else if (r->org != p->xmt)                        synch = FALSE;  /* bogus packet */        }        /*         * Update the origin and destination timestamps. If         * unsynchronized or bogus, abandon ship.         */        p->org = r->xmt;        p->rec = r->dst;        if (!synch)                return;                 /* unsynch */        /*         * The timestamps are valid and the receive packet matches the         * last one sent. If the packet is a crypto-NAK, the server         * might have just changed keys. We demobilize the association         * and wait for better times.         */        if (auth == A_CRYPTO) {                clear(p, X_CRYPTO);                return;                 /* crypto-NAK */        }        /*         * If the association is authenticated, the key ID is nonzero         * and received packets must be authenticated. This is designed         * to avoid a bait-and-switch attack, which was possible in past         * versions.         */        if (!AUTH(p->keyid || (p->flags & P_NOTRUST), auth))                return;                 /* bad auth */        /*         * Everything possible has been done to validate the timestamps         * and prevent bad guys from disrupting the protocol or         * injecting bogus data. Earn some revenue.Burbank, et al.          Expires April 12, 2010                [Page 82]

Internet-Draft             NTPv4 Specification              October 2009         */        packet(p, r);}A.5.1.1.  packet()/* * packet() - process packet and compute offset, delay and * dispersion. */voidpacket(        struct p *p,            /* peer structure pointer */        struct r *r             /* receive packet pointer */        ){        double  offset;         /* sample offsset */        double  delay;          /* sample delay */        double  disp;           /* sample dispersion */        /*         * By golly the packet is valid. Light up the remaining header         * fields. Note that we map stratum 0 (unspecified) to MAXSTRAT         * to make stratum comparisons simpler and to provide a natural         * interface for radio clock drivers that operate for         *  convenience at stratum 0.         */        p->leap = r->leap;        if (r->stratum == 0)                p->stratum = MAXSTRAT;        else                p->stratum = r->stratum;        p->pmode = r->mode;        p->ppoll = r->poll;        p->rootdelay = FP2D(r->rootdelay);        p->rootdisp = FP2D(r->rootdisp);        p->refid = r->refid;        p->reftime = r->reftime;        /*         * Verify the server is synchronized with valid stratum and         * reference time not later than the transmit time.         */        if (p->leap == NOSYNC || p->stratum >= MAXSTRAT)                return;                 /* unsynchronized */        /*         * Verify valid root distance.Burbank, et al.          Expires April 12, 2010                [Page 83]

Internet-Draft             NTPv4 Specification              October 2009         */        if (r->rootdelay / 2 + r->rootdisp >= MAXDISP || p->reftime >            r->xmt)                return;                 /* invalid header values */        poll_update(p, p->hpoll);        p->reach |= 1;        /*         * Calculate offset, delay and dispersion, then pass to the         * clock filter. Note carefully the implied processing. The         * first-order difference is done directly in 64-bit arithmetic,         * then the result is converted to floating double. All further         * processing is in floating double arithmetic with rounding         * done by the hardware. This is necessary in order to avoid         * overflow and preseve precision.         *         * The delay calculation is a special case. In cases where the         * server and client clocks are running at different rates and         * with very fast networks, the delay can appear negative. In         * order to avoid violating the Principle of Least Astonishment,         * the delay is clamped not less than the system precision.         */        if (p->pmode == M_BCST) {                offset = LFP2D(r->xmt - r->dst);                delay = BDELAY;                disp = LOG2D(r->precision) + LOG2D(s.precision) + PHI *                    2 * BDELAY;        } else {                offset = (LFP2D(r->rec - r->org) + LFP2D(r->dst -                    r->xmt)) / 2;                delay = max(LFP2D(r->dst - r->org) - LFP2D(r->rec -                    r->xmt), LOG2D(s.precision));                disp = LOG2D(r->precision) + LOG2D(s.precision) + PHI *                    LFP2D(r->dst - r->org);        }        clock_filter(p, offset, delay, disp);}A.5.2.  clock_filter()/* * clock_filter(p, offset, delay, dispersion) - select the best from the * latest eight delay/offset samples. */voidclock_filter(        struct p *p,            /* peer structure pointer */Burbank, et al.          Expires April 12, 2010                [Page 84]

Internet-Draft             NTPv4 Specification              October 2009        double  offset,         /* clock offset */        double  delay,          /* roundtrip delay */        double  disp            /* dispersion */        ){        struct f f[NSTAGE];     /* sorted list */        double  dtemp;        int     i;        /*         * The clock filter contents consist of eight tuples (offset,         * delay, dispersion, time). Shift each tuple to the left,         * discarding the leftmost one. As each tuple is shifted,         * increase the dispersion since the last filter update. At the         * same time, copy each tuple to a temporary list. After this,         * place the (offset, delay, disp, time) in the vacated         * rightmost tuple.         */        for (i = 1; i < NSTAGE; i++) {                p->f[i] = p->f[i - 1];                p->f[i].disp += PHI * (c.t - p->t);                f[i] = p->f[i];        }        p->f[0].t = c.t;        p->f[0].offset = offset;        p->f[0].delay = delay;        p->f[0].disp = disp;        f[0] = p->f[0];        /*         * Sort the temporary list of tuples by increasing f[].delay.         * The first entry on the sorted list represents the best         * sample, but it might be old.         */        dtemp = p->offset;        p->offset = f[0].offset;        p->delay = f[0].delay;        for (i = 0; i < NSTAGE; i++) {                p->disp += f[i].disp / (2 ^ (i + 1));                p->jitter += SQUARE(f[i].offset - f[0].offset);        }        p->jitter = max(SQRT(p->jitter), LOG2D(s.precision));        /*         * Prime directive: use a sample only once and never a sample         * older than the latest one, but anything goes before first         * synchronized.         */Burbank, et al.          Expires April 12, 2010                [Page 85]

Internet-Draft             NTPv4 Specification              October 2009        if (f[0].t - p->t <= 0 && s.leap != NOSYNC)                return;        /*         * Popcorn spike suppressor. Compare the difference between the         * last and current offsets to the current jitter. If greater         * than SGATE (3) and if the interval since the last offset is         * less than twice the system poll interval, dump the spike.         * Otherwise, and if not in a burst, shake out the truechimers.         */        if (fabs(p->offset - dtemp) > SGATE * p->jitter && (f[0].t -            p->t) < 2 * s.poll)                return;        p->t = f[0].t;        if (p->burst == 0)                clock_select();        return;}/* * fit() - test if association p is acceptable for synchronization */intfit(        struct p *p             /* peer structure pointer */        ){        /*         * A stratum error occurs if (1) the server has never been         * synchronized, (2) the server stratum is invalid.         */        if (p->leap == NOSYNC || p->stratum >= MAXSTRAT)                return (FALSE);        /*         * A distance error occurs if the root distance exceeds the         * distance threshold plus an increment equal to one poll         * interval.         */        if (root_dist(p) > MAXDIST + PHI * LOG2D(s.poll))                return (FALSE);        /*         * A loop error occurs if the remote peer is synchronized to the         * local peer or the remote peer is synchronized to the current         * system peer. Note this is the behavior for IPv4; for IPv6 the         * MD5 hash is used instead.Burbank, et al.          Expires April 12, 2010                [Page 86]

Internet-Draft             NTPv4 Specification              October 2009         */        if (p->refid == p->dstaddr || p->refid == s.refid)                return (FALSE);        /*         * An unreachable error occurs if the server is unreachable.         */        if (p->reach == 0)                return (FALSE);        return (TRUE);}/* * clear() - reinitialize for persistent association, demobilize * for ephemeral association. */voidclear(        struct p *p,            /* peer structure pointer */        int     kiss            /* kiss code */        ){        int i;        /*         * The first thing to do is return all resources to the bank.         * Typical resources are not detailed here, but they include         * dynamically allocated structures for keys, certificates, etc.         * If an ephemeral association and not initialization, return         * the association memory as well.         */        /* return resources */        if (s.p == p)                s.p = NULL;        if (kiss != X_INIT && (p->flags & P_EPHEM)) {                free(p);                return;        }        /*         * Initialize the association fields for general reset.         */        memset(BEGIN_CLEAR(p), LEN_CLEAR, 0);        p->leap = NOSYNC;        p->stratum = MAXSTRAT;        p->ppoll = MAXPOLL;        p->hpoll = MINPOLL;Burbank, et al.          Expires April 12, 2010                [Page 87]

Internet-Draft             NTPv4 Specification              October 2009        p->disp = MAXDISP;        p->jitter = LOG2D(s.precision);        p->refid = kiss;        for (i = 0; i < NSTAGE; i++)                p->f[i].disp = MAXDISP;        /*         * Randomize the first poll just in case thousands of broadcast         * clients have just been stirred up after a long absence of the         * broadcast server.         */        p->outdate = p->t = c.t;        p->nextdate = p->outdate + (random() & ((1 << MINPOLL) - 1));}A.5.3.  fast_xmit()/* * fast_xmit() - transmit a reply packet for receive packet r */voidfast_xmit(        struct r *r,            /* receive packet pointer */        int     mode,           /* association mode */        int     auth            /* authentication code */        ){        struct x x;        /*         * Initialize header and transmit timestamp. Note that the         * transmit version is copied from the receive version. This is         * for backward compatibility.         */        x.version = r->version;        x.srcaddr = r->dstaddr;        x.dstaddr = r->srcaddr;        x.leap = s.leap;        x.mode = mode;        if (s.stratum == MAXSTRAT)                x.stratum = 0;        else                x.stratum = s.stratum;        x.poll = r->poll;        x.precision = s.precision;        x.rootdelay = D2FP(s.rootdelay);        x.rootdisp = D2FP(s.rootdisp);        x.refid = s.refid;Burbank, et al.          Expires April 12, 2010                [Page 88]

Internet-Draft             NTPv4 Specification              October 2009        x.reftime = s.reftime;        x.org = r->xmt;        x.rec = r->dst;        x.xmt = get_time();        /*         * If the authentication code is A.NONE, include only the         * header; if A.CRYPTO, send a crypto-NAK; if A.OK, send a valid         * MAC. Use the key ID in the received packet and the key in the         * local key cache.         */        if (auth != A_NONE) {                if (auth == A_CRYPTO) {                        x.keyid = 0;                } else {                        x.keyid = r->keyid;                        x.dgst = md5(x.keyid);                }        }        xmit_packet(&x);}A.5.4.  access()/* * access() - determine access restrictions */intaccess(        struct r *r             /* receive packet pointer */        ){        /*         * The access control list is an ordered set of tuples         * consisting of an address, mask and restrict word containing         * defined bits. The list is searched for the first match on the         * source address (r->srcaddr) and the associated restrict word         * is returned.         */        return (/* access bits */ 0);}A.5.5.  System ProcessA.5.5.1.  clock_select()/* * clock_select() - find the best clocksBurbank, et al.          Expires April 12, 2010                [Page 89]

Internet-Draft             NTPv4 Specification              October 2009 */voidclock_select() {       struct p *p, *osys;     /* peer structure pointers */       double  low, high;      /* correctness interval extents */       int     allow, found, chime; /* used by intersection algorithm */       int     n, i, j;        /*         * We first cull the falsetickers from the server population,         * leaving only the truechimers. The correctness interval for         * association p is the interval from offset - root_dist() to         * offset + root_dist(). The object of the game is to find a         * majority clique; that is, an intersection of correctness         * intervals numbering more than half the server population.         *         * First construct the chime list of tuples (p, type, edge) as         * shown below, then sort the list by edge from lowest to         * highest.         */        osys = s.p;        s.p = NULL;        n = 0;        while (fit(p)) {                s.m[n].p = p;                s.m[n].type = +1;                s.m[n].edge = p->offset + root_dist(p);                n++;                s.m[n].p = p;                s.m[n].type = 0;                s.m[n].edge = p->offset;                n++;                s.m[n].p = p;                s.m[n].type = -1;                s.m[n].edge = p->offset - root_dist(p);                n++;        }        /*         * Find the largest contiguous intersection of correctness         * intervals. Allow is the number of allowed falsetickers; found         * is the number of midpoints. Note that the edge values are         * limited to the range +-(2 ^ 30) < +-2e9 by the timestamp         * calculations.         */        low = 2e9; high = -2e9;        for (allow = 0; 2 * allow < n; allow++) {Burbank, et al.          Expires April 12, 2010                [Page 90]

Internet-Draft             NTPv4 Specification              October 2009                /*                 * Scan the chime list from lowest to highest to find                 * the lower endpoint.                 */                found = 0;                chime = 0;                for (i = 0; i < n; i++) {                        chime -= s.m[i].type;                        if (chime >= n - found) {                                low = s.m[i].edge;                                break;                        }                        if (s.m[i].type == 0)                                found++;                }                /*                 * Scan the chime list from highest to lowest to find                 * the upper endpoint.                 */                chime = 0;                for (i = n - 1; i >= 0; i--) {                        chime += s.m[i].type;                        if (chime >= n - found) {                                high = s.m[i].edge;                                break;                        }                        if (s.m[i].type == 0)                                found++;                }                /*                 * If the number of midpoints is greater than the number                 * of allowed falsetickers, the intersection contains at                 * least one truechimer with no midpoint. If so,                 * increment the number of allowed falsetickers and go                 * around again. If not and the intersection is                 * nonempty, declare success.                 */                if (found > allow)                        continue;                if (high > low)                        break;        }        /*         * Clustering algorithm. Construct a list of survivors (p,Burbank, et al.          Expires April 12, 2010                [Page 91]

Internet-Draft             NTPv4 Specification              October 2009         * metric) from the chime list, where metric is dominated first         * by stratum and then by root distance. All other things being         * equal, this is the order of preference.         */        s.n = 0;        for (i = 0; i < n; i++) {                if (s.m[i].edge < low || s.m[i].edge > high)                        continue;                p = s.m[i].p;                s.v[n].p = p;                s.v[n].metric = MAXDIST * p->stratum + root_dist(p);                s.n++;        }        /*         * There must be at least NSANE survivors to satisfy the         * correctness assertions. Ordinarily, the Byzantine criteria         * require four, survivors, but for the demonstration here, one         * is acceptable.         */        if (s.n < NSANE)                return;        /*         * For each association p in turn, calculate the selection         * jitter p->sjitter as the square root of the sum of squares         * (p->offset - q->offset) over all q associations. The idea is         * to repeatedly discard the survivor with maximum selection         * jitter until a termination condition is met.         */        while (1) {                struct p *p, *q, *qmax; /* peer structure pointers */                double  max, min, dtemp;                max = -2e9; min = 2e9;                for (i = 0; i < s.n; i++) {                        p = s.v[i].p;                        if (p->jitter < min)                                min = p->jitter;                        dtemp = 0;                        for (j = 0; j < n; j++) {                                q = s.v[j].p;                                dtemp += SQUARE(p->offset - q->offset);                        }                        dtemp = SQRT(dtemp);                        if (dtemp > max) {                                max = dtemp;Burbank, et al.          Expires April 12, 2010                [Page 92]

Internet-Draft             NTPv4 Specification              October 2009                                qmax = q;                        }                }                /*                 * If the maximum selection jitter is less than the                 * minimum peer jitter, then tossing out more survivors                 * will not lower the minimum peer jitter, so we might                 * as well stop. To make sure a few survivors are left                 * for the clustering algorithm to chew on, we also stop                 * if the number of survivors is less than or equal to                 * NMIN (3).                 */                if (max < min || n <= NMIN)                        break;                /*                 * Delete survivor qmax from the list and go around                 * again.                 */                s.n--;        }        /*         * Pick the best clock. If the old system peer is on the list         * and at the same stratum as the first survivor on the list,         * then don't do a clock hop. Otherwise, select the first         * survivor on the list as the new system peer.         */        if (osys->stratum == s.v[0].p->stratum)                s.p = osys;        else                s.p = s.v[0].p;        clock_update(s.p);}Burbank, et al.          Expires April 12, 2010                [Page 93]

Internet-Draft             NTPv4 Specification              October 2009A.5.5.2.  root_dist()/* * root_dist() - calculate root distance */doubleroot_dist(        struct p *p             /* peer structure pointer */        ){        /*         * The root synchronization distance is the maximum error due to         * all causes of the local clock relative to the primary server.         * It is defined as half the total delay plus total dispersion         * plus peer jitter.         */        return (max(MINDISP, p->rootdelay + p->delay) / 2 +            p->rootdisp + p->disp + PHI * (c.t - p->t) + p->jitter);}Burbank, et al.          Expires April 12, 2010                [Page 94]

Internet-Draft             NTPv4 Specification              October 2009A.5.5.3.  accept()/* * accept() - test if association p is acceptable for synchronization */intaccept(        struct p *p             /* peer structure pointer */        ){        /*         * A stratum error occurs if (1) the server has never been         * synchronized, (2) the server stratum is invalid.         */        if (p->leap == NOSYNC || p->stratum >= MAXSTRAT)                return (FALSE);        /*         * A distance error occurs if the root distance exceeds the         * distance threshold plus an increment equal to one poll         * interval.         */        if (root_dist(p) > MAXDIST + PHI * LOG2D(s.poll))                return (FALSE);        /*         * A loop error occurs if the remote peer is synchronized to the         * local peer or the remote peer is synchronized to the current         * system peer. Note this is the behavior for IPv4; for IPv6 the         * MD5 hash is used instead.         */        if (p->refid == p->dstaddr || p->refid == s.refid)                return (FALSE);        /*         * An unreachable error occurs if the server is unreachable.         */        if (p->reach == 0)                return (FALSE);        return (TRUE);}A.5.5.4.  clock_update()/* * clock_update() - update the system clock */Burbank, et al.          Expires April 12, 2010                [Page 95]

Internet-Draft             NTPv4 Specification              October 2009voidclock_update(        struct p *p             /* peer structure pointer */        ){        double dtemp;        /*         * If this is an old update, for instance as the result of a         * system peer change, avoid it. We never use an old sample or         * the same sample twice.         */        if (s.t >= p->t)                return;        /*         * Combine the survivor offsets and update the system clock; the         * local_clock() routine will tell us the good or bad news.         */        s.t = p->t;        clock_combine();        switch (local_clock(p, s.offset)) {        /*         * The offset is too large and probably bogus. Complain to the         * system log and order the operator to set the clock manually         * within PANIC range. The reference implementation includes a         * command line option to disable this check and to change the         * panic threshold from the default 1000 s as required.         */        case PANIC:                exit (0);        /*         * The offset is more than the step threshold (0.125 s by         * default). After a step, all associations now have         * inconsistent time valurs, so they are reset and started         * fresh. The step threshold can be changed in the reference         * implementation in order to lessen the chance the clock might         * be stepped backwards. However, there may be serious         * consequences, as noted in the white papers at the NTP project         * site.         */        case STEP:                while (/* all associations */ 0)                        clear(p, X_STEP);                s.stratum = MAXSTRAT;                s.poll = MINPOLL;Burbank, et al.          Expires April 12, 2010                [Page 96]

Internet-Draft             NTPv4 Specification              October 2009                break;        /*         * The offset was less than the step threshold, which is the         * normal case. Update the system variables from the peer         * variables. The lower clamp on the dispersion increase is to         * avoid timing loops and clockhopping when highly precise         * sources are in play. The clamp can be changed from the         * default .01 s in the reference implementation.         */        case SLEW:                s.leap = p->leap;                s.stratum = p->stratum + 1;                s.refid = p->refid;                s.reftime = p->reftime;                s.rootdelay = p->rootdelay + p->delay;                dtemp = SQRT(SQUARE(p->jitter) + SQUARE(s.jitter));                dtemp += max(p->disp + PHI * (c.t - p->t) +                    fabs(p->offset), MINDISP);                s.rootdisp = p->rootdisp + dtemp;                break;        /*         * Some samples are discarded while, for instance, a direct         * frequency measurement is being made.         */        case IGNORE:                break;        }}Burbank, et al.          Expires April 12, 2010                [Page 97]

Internet-Draft             NTPv4 Specification              October 2009A.5.5.5.  clock_combine()/* * clock_combine() - combine offsets */voidclock_combine(){        struct p *p;            /* peer structure pointer */        double x, y, z, w;        int     i;        /*         * Combine the offsets of the clustering algorithm survivors         * using a weighted average with weight determined by the root         * distance. Compute the selection jitter as the weighted RMS         * difference between the first survivor and the remaining         * survivors. In some cases the inherent clock jitter can be         * reduced by not using this algorithm, especially when frequent         * clockhopping is involved. The reference implementation can be         * configured to avoid this algorithm by designating a preferred         * peer.         */        y = z = w = 0;        for (i = 0; s.v[i].p != NULL; i++) {                p = s.v[i].p;                x = root_dist(p);                y += 1 / x;                z += p->offset / x;                w += SQUARE(p->offset - s.v[0].p->offset) / x;        }        s.offset = z / y;        s.jitter = SQRT(w / y);}A.5.5.6.  local_clock()/* * Clock discipline parameters and constants */#define STEPT           .128    /* step threshold (s) */#define WATCH           900     /* stepout threshold (s) */#define PANICT          1000    /* panic threshold (s) */#define PLL             65536   /* PLL loop gain */#define FLL             MAXPOLL + 1 /* FLL loop gain */#define AVG             4       /* parameter averaging constant */#define ALLAN           1500    /* compromise Allan intercept (s) */#define LIMIT           30      /* poll-adjust threshold */Burbank, et al.          Expires April 12, 2010                [Page 98]

Internet-Draft             NTPv4 Specification              October 2009#define MAXFREQ         500e-6  /* frequency tolerance (500 PPM) */#define PGATE           4       /* poll-adjust gate *//* * local_clock() - discipline the local clock */int                             /* return code */local_clock(        struct p *p,            /* peer structure pointer */        double  offset          /* clock offset from combine() */        ){        int     state;          /* clock discipline state */        double  freq;           /* frequency */        double  mu;             /* interval since last update */        int     rval;        double  etemp, dtemp;        /*         * If the offset is too large, give up and go home.         */        if (fabs(offset) > PANICT)                return (PANIC);        /*         * Clock state machine transition function. This is where the         * action is and defines how the system reacts to large time         * and frequency errors. There are two main regimes: when the         * offset exceeds the step threshold and when it does not.         */        rval = SLEW;        mu = p->t - s.t;        freq = 0;        if (fabs(offset) > STEPT) {                switch (c.state) {                /*                 * In S_SYNC state we ignore the first outlyer amd                 * switch to S_SPIK state.                 */                case SYNC:                        state = SPIK;                        return (rval);                /*                 * In S_FREQ state we ignore outlyers and inlyers. At                 * the first outlyer after the stepout threshold,                 * compute the apparent frequency correction and stepBurbank, et al.          Expires April 12, 2010                [Page 99]

Internet-Draft             NTPv4 Specification              October 2009                 * the time.                 */                case FREQ:                        if (mu < WATCH)                                return (IGNORE);                        freq = (offset - c.offset) / mu;                        /* fall through to S_SPIK */                /*                 * In S_SPIK state we ignore succeeding outlyers until                 * either an inlyer is found or the stepout threshold is                 * exceeded.                 */                case SPIK:                        if (mu < WATCH)                                return (IGNORE);                        /* fall through to default */                /*                 * We get here by default in S_NSET and S_FSET states                 * and from above in S_FREQ state. Step the time and                 * clamp down the poll interval.                 *                 * In S_NSET state an initial frequency correction is                 * not available, usually because the frequency file has                 * not yet been written. Since the time is outside the                 * capture range, the clock is stepped. The frequency                 * will be set directly following the stepout interval.                 *                 * In S_FSET state the initial frequency has been set                 * from the frequency file. Since the time is outside                 * the capture range, the clock is stepped immediately,                 * rather than after the stepout interval. Guys get                 * nervous if it takes 17 minutes to set the clock for                 * the first time.                 *                 * In S_SPIK state the stepout threshold has expired and                 * the phase is still above the step threshold. Note                 * that a single spike greater than the step threshold                 * is always suppressed, even at the longer poll                 * intervals.                 */                default:                        /*                         * This is the kernel set time function, usuallyBurbank, et al.          Expires April 12, 2010               [Page 100]

Internet-Draft             NTPv4 Specification              October 2009                         * implemented by the Unix settimeofday() system                         * call.                         */                        step_time(offset);                        c.count = 0;                        s.poll = MINPOLL;                        rval = STEP;                        if (state == NSET) {                                rstclock(FREQ, p->t, 0);                                return (rval);                        }                        break;                }                rstclock(SYNC, p->t, 0);        } else {                /*                 * Compute the clock jitter as the RMS of exponentially                 * weighted offset differences. This is used by the                 * poll-adjust code.                 */                etemp = SQUARE(c.jitter);                dtemp = SQUARE(max(fabs(offset - c.last),                    LOG2D(s.precision)));                c.jitter = SQRT(etemp + (dtemp - etemp) / AVG);                switch (c.state) {                /*                 * In S_NSET state this is the first update received and                 * the frequency has not been initialized. The first                 * thing to do is directly measure the oscillator                 * frequency.                 */                case NSET:                        rstclock(FREQ, p->t, offset);                        return (IGNORE);                /*                 * In S_FSET state this is the first update and the                 * frequency has been initialized. Adjust the phase, but                 * don't adjust the frequency until the next update.                 */                case FSET:                        rstclock(SYNC, p->t, offset);                        break;                /*                 * In S_FREQ state ignore updates until the stepoutBurbank, et al.          Expires April 12, 2010               [Page 101]

Internet-Draft             NTPv4 Specification              October 2009                 * threshold. After that, correct the phase and                 * frequency and switch to S_SYNC state.                 */                case FREQ:                        if (c.t - s.t < WATCH)                                return (IGNORE);                        freq = (offset - c.offset) / mu;                        break;                /*                 * We get here by default in S_SYNC and S_SPIK states.                 * Here we compute the frequency update due to PLL and                 * FLL contributions.                 */                default:                        /*                         * The FLL and PLL frequency gain constants                         * depend on the poll interval and Allan                         * intercept. The FLL is not used below one-half                         * the Allan intercept. Above that the loop gain                         * increases in steps to 1 / AVG.                         */                        if (LOG2D(s.poll) > ALLAN / 2) {                                etemp = FLL - s.poll;                                if (etemp < AVG)                                        etemp = AVG;                                freq += (offset - c.offset) / (max(mu,                                    ALLAN) * etemp);                        }                        /*                         * For the PLL the integration interval                         * (numerator) is the minimum of the update                         * interval and poll interval. This allows                         * oversampling, but not undersampling.                         */                        etemp = min(mu, LOG2D(s.poll));                        dtemp = 4 * PLL * LOG2D(s.poll);                        freq += offset * etemp / (dtemp * dtemp);                        rstclock(SYNC, p->t, offset);                        break;                }        }        /*         * Calculate the new frequency and frequency stability (wander).Burbank, et al.          Expires April 12, 2010               [Page 102]

Internet-Draft             NTPv4 Specification              October 2009         * Compute the clock wander as the RMS of exponentially weighted         * frequency differences. This is not used directly, but can,         * along with the jitter, be a highly useful monitoring and         * debugging tool         */        freq += c.freq;        c.freq = max(min(MAXFREQ, freq), -MAXFREQ);        etemp = SQUARE(c.wander);        dtemp = SQUARE(freq);        c.wander = SQRT(etemp + (dtemp - etemp) / AVG);        /*         * Here we adjust the poll interval by comparing the current         * offset with the clock jitter. If the offset is less than the         * clock jitter times a constant, then the averaging interval is         * increased, otherwise it is decreased. A bit of hysteresis         * helps calm the dance. Works best using burst mode.         */        if (fabs(c.offset) < PGATE * c.jitter) {                c.count += s.poll;                if (c.count > LIMIT) {                        c.count = LIMIT;                        if (s.poll < MAXPOLL) {                                c.count = 0;                                s.poll++;                        }                }        } else {                c.count -= s.poll << 1;                if (c.count < -LIMIT) {                        c.count = -LIMIT;                        if (s.poll > MINPOLL) {                                c.count = 0;                                s.poll--;                        }                }        }        return (rval);}Burbank, et al.          Expires April 12, 2010               [Page 103]

Internet-Draft             NTPv4 Specification              October 2009A.5.5.7.  rstclock()/* * rstclock() - clock state machine */voidrstclock(        int     state,          /* new state */        double  offset,         /* new offset */        double  t               /* new update time */        ){        /*         * Enter new state and set state variables. Note we use the time         * of the last clock filter sample, which must be earlier than         * the current time.         */        c.state = state;        c.last = c.offset = offset;        s.t = t;}A.5.6.  Clock Adjust ProcessA.5.6.1.  clock_adjust()/* * clock_adjust() - runs at one-second intervals */voidclock_adjust() {        double  dtemp;        /*         * Update the process time c.t. Also increase the dispersion         * since the last update. In contrast to NTPv3, NTPv4 does not         * declare unsynchronized after one day, since the dispersion         * threshold serves this function. When the dispersion exceeds         * MAXDIST (1 s), the server is considered unfit for         * synchronization.         */        c.t++;        s.rootdisp += PHI;        /*         * Implement the phase and frequency adjustments. The gain         * factor (denominator) is not allowed to increase beyond the         * Allan intercept. It doesn't make sense to average phase noiseBurbank, et al.          Expires April 12, 2010               [Page 104]

Internet-Draft             NTPv4 Specification              October 2009         * beyond this point and it helps to damp residual offset at the         * longer poll intervals.         */        dtemp = c.offset / (PLL * min(LOG2D(s.poll), ALLAN));        c.offset -= dtemp;        /*         * This is the kernel adjust time function, usually implemented         * by the Unix adjtime() system call.         */        adjust_time(c.freq + dtemp);        /*         * Peer timer. Call the poll() routine when the poll timer         * expires.         */        while (/* all associations */ 0) {                struct p *p;    /* dummy peer structure pointer */                if (c.t >= p->nextdate)                        poll(p);        }        /*         * Once per hour write the clock frequency to a file         */        /*         * if (c.t % 3600 == 3599)         *   write c.freq to file         */}A.5.7.  Poll Process   /*    * Poll process parameters and constants    */   #define UNREACH         12      /* unreach counter threshold */   #define BCOUNT          8       /* packets in a burst */   #define BTIME           2       /* burst interval (s) */A.5.7.1.  poll()/* * poll() - determine when to send a packet for association p-> */voidpoll(Burbank, et al.          Expires April 12, 2010               [Page 105]

Internet-Draft             NTPv4 Specification              October 2009        struct p *p             /* peer structure pointer */        ){        int     hpoll;        int     oreach;        /*         * This routine is called when the current time c.t catches up         * to the next poll time p->nextdate. The value p->outdate is         * the last time this routine was executed. The poll_update()         * routine determines the next execution time p->nextdate.         *         * If broadcasting, just do it, but only if we are synchronized.         */        hpoll = p->hpoll;        if (p->hmode == M_BCST) {                p->outdate = c.t;                if (s.p != NULL)                        peer_xmit(p);                poll_update(p, hpoll);                return;        }        /*         * If manycasting, start with ttl = 1. The ttl is increased by         * one for each poll until MAXCLOCK servers have been found or         * ttl reaches TTLMAX. If reaching MAXCLOCK, stop polling until         * the number of servers falls below MINCLOCK, then start all         * over.         */        if (p->hmode == M_CLNT && p->flags & P_MANY) {                p->outdate = c.t;                if (p->unreach > BEACON) {                        p->unreach = 0;                        p->ttl = 1;                        peer_xmit(p);                } else if (s.n < MINCLOCK) {                        if (p->ttl < TTLMAX)                                p->ttl++;                        peer_xmit(p);                }                p->unreach++;                poll_update(p, hpoll);                return;        }        if (p->burst == 0) {                /*Burbank, et al.          Expires April 12, 2010               [Page 106]

Internet-Draft             NTPv4 Specification              October 2009                 * We are not in a burst. Shift the reachability                 * register to the left. Hopefully, some time before the                 * next poll a packet will arrive and set the rightmost                 * bit.                 */                oreach = p->reach;                p->outdate = c.t;                p->reach = p->reach << 1;                if (!(p->reach & 0x7))                        clock_filter(p, 0, 0, MAXDISP);                if (!p->reach) {                        /*                         * The server is unreachable, so bump the                         * unreach counter. If the unreach threshold has                         * been reached, double the poll interval to                         * minimize wasted network traffic. Send a burst                         * only if enabled and the unreach threshold has                         * not been reached.                         */                        if (p->flags & P_IBURST && p->unreach == 0) {                                p->burst = BCOUNT;                        } else if (p->unreach < UNREACH)                                p->unreach++;                        else                                hpoll++;                        p->unreach++;                } else {                        /*                         * The server is reachable. Set the poll                         * interval to the system poll interval. Send a                         * burst only if enabled and the peer is fit.                         */                        p->unreach = 0;                        hpoll = s.poll;                        if (p->flags & P_BURST && fit(p))                                p->burst = BCOUNT;                }        } else {                /*                 * If in a burst, count it down. When the reply comes                 * back the clock_filter() routine will call                 * clock_select() to process the results of the burst.                 */                p->burst--;        }Burbank, et al.          Expires April 12, 2010               [Page 107]

Internet-Draft             NTPv4 Specification              October 2009        /*         * Do not transmit if in broadcast client mode.         */        if (p->hmode != M_BCLN)                peer_xmit(p);        poll_update(p, hpoll);}A.5.7.2.  poll_update()Burbank, et al.          Expires April 12, 2010               [Page 108]

Internet-Draft             NTPv4 Specification              October 2009/* * poll_update() - update the poll interval for association p * * Note: This routine is called by both the packet() and poll() routine. * Since the packet() routine is executed when a network packet arrives * and the poll() routine is executed as the result of timeout, a * potential race can occur, possibly causing an incorrect interval for * the next poll. This is considered so unlikely as to be negligible. */voidpoll_update(        struct p *p,            /* peer structure pointer */        int     poll            /* poll interval (log2 s) */        ){        /*         * This routine is called by both the poll() and packet()         * routines to determine the next poll time. If within a burst         * the poll interval is two seconds. Otherwise, it is the         * minimum of the host poll interval and peer poll interval, but         * not greater than MAXPOLL and not less than MINPOLL. The         * design insures that a longer interval can be preempted by a         * shorter one if required for rapid response.         */        p->hpoll = max(min(MAXPOLL, poll), MINPOLL);        if (p->burst > 0) {                if (p->nextdate != c.t)                        return;                else                        p->nextdate += BTIME;        } else {                /*                 * While not shown here, the reference implementation                 * randomizes the poll interval by a small factor.                 */                p->nextdate = p->outdate + (1 << max(min(p->ppoll,                    p->hpoll), MINPOLL));        }        /*         * It might happen that the due time has already passed. If so,         * make it one second in the future.         */        if (p->nextdate <= c.t)                p->nextdate = c.t + 1;}Burbank, et al.          Expires April 12, 2010               [Page 109]

Internet-Draft             NTPv4 Specification              October 2009A.5.7.3.  peer_xmit()Burbank, et al.          Expires April 12, 2010               [Page 110]

Internet-Draft             NTPv4 Specification              October 2009/* * transmit() - transmit a packet for association p */voidpeer_xmit(        struct p *p             /* peer structure pointer */        ){        struct x x;             /* transmit packet */        /*         * Initialize header and transmit timestamp         */        x.srcaddr = p->dstaddr;        x.dstaddr = p->srcaddr;        x.leap = s.leap;        x.version = p->version;        x.mode = p->hmode;        if (s.stratum == MAXSTRAT)                x.stratum = 0;        else                x.stratum = s.stratum;        x.poll = p->hpoll;        x.precision = s.precision;        x.rootdelay = D2FP(s.rootdelay);        x.rootdisp = D2FP(s.rootdisp);        x.refid = s.refid;        x.reftime = s.reftime;        x.org = p->org;        x.rec = p->rec;        x.xmt = get_time();        p->xmt = x.xmt;        /*         * If the key ID is nonzero, send a valid MAC using the key ID         * of the association and the key in the local key cache. If         * something breaks, like a missing trusted key, don't send the         * packet; just reset the association and stop until the problem         * is fixed.         */        if (p->keyid)                if (/* p->keyid invalid */ 0) {                        clear(p, X_NKEY);                        return;                }                x.dgst = md5(p->keyid);        xmit_packet(&x);}Burbank, et al.          Expires April 12, 2010               [Page 111]

Internet-Draft             NTPv4 Specification              October 2009Authors' Addresses   Jack Burbank   The Johns Hopkins University Applied Physics Laboratory   11100 Johns Hopkins Road   Laurel, MD  20723-6099   US   Phone: +1 443 778 7127   Email: jack.burbank@jhuapl.edu   William Kasch   The Johns Hopkins University Applied Physics Laboratory   11100 Johns Hopkins Road   Laurel, MD  20723-6099   US   Phone: +1 443 778 7463   Email: william.kasch@jhuapl.edu   Jim Martin (editor)   Daedelus Group   411 Park Avenue, Unit 118   Santa Jose, CA  95110   US   Email: jim@daedelus.com   Dr. David L. Mills   University of Delaware   Newark, DE  19716   US   Phone: +1 302 831 8247   Email: mills@udel.eduBurbank, et al.          Expires April 12, 2010               [Page 112]
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draft-ietf-ntp-ntpv4-proto-13

This is an older version of an Internet-Draft that was ultimately published asRFC 5905.

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