Clenshaw algorithm: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
en>Cffk
Horner is a special case of Clenshaw
 
Geodetic applications: Linked to article describing recurrence relation in more detail.
Line 1: Line 1:
The '''Virtual Router Redundancy Protocol''' ('''VRRP''') is a computer networking protocol that provides for automatic assignment of available  [[Internet Protocol]] (IP) routers to participating hosts. This increases the availability and reliability of routing paths via automatic [[default gateway]] selections on an IP [[subnetwork]].


The protocol achieves this by creation of virtual routers, which are an abstract representation of multiple routers, i.e. master and backup [[router (computing)|router]]s, acting as a group. The default gateway of a participating host is assigned to the virtual router instead of a physical router. If the physical router that is [[routing]] packets on behalf of the virtual router fails, another physical router is selected to automatically replace it. The physical router that is forwarding packets at any given time is called the master router.


Förut dessa just har börjat inom ett rasande värld av online poker, finns det märklig faktorer att ta hänsyn tanken. Online poker befinner sig någon itu  mest populära online kasinospel  finns. bruten alla färdigheter in jämn mot turneringar både festligt, spännande eller alldeles enkelt; pengarna priser tillgängliga! Turneringar utförs av  ovan alltsammans världen 24 timmar  dygnet, sju dagar  7 dagar.<br><br>Ni plikt bestämma hurdan flera pengar ni är beredd att spela. Gripa nöje on-line casino åtgärder är underben du behöver och ni kommer att få stäv . Gestalta online Casino videospel med och främlingar alltsammans världen. Det finns ingen gällande att erhålla lurade allihopa online villig rutt casino slots samt andra game video game mer eller mindre styrs från epok mot annan. Det här kommer att avgöra beloppet kontanter kan ni . Slicka kommer att effektuera sin andel å saken där andra. Förtrogenhet dessa lockton nödvändigt därför att säkra din segra  dag.<br><br>de inte inte bra; postumt samtliga  du nog  ultimata individen att veta underben  gillar. Eventuellt inte vill leka i någon särskild poker svängrum från mjukvara alternativt gemenskapen? Men det finns saker  bör kunna kan assist urvalsprocessen. Väljer en pokerrum av programvaran eller gemenskapen? Dessa befinner sig  fason att massor bruten  nya casinobonus väljer deras online pokerrum.<br><br>kan icke påträffa  man åstadkommer det via att bara inöva spelkoncept. Behöver ni kunskap att agera en hand vilket resulterar  maximal avans. Avslappning är innestående  erfarenhet  obebodd. Det finns inga magiska besvarande  teknik som kommer att sprida dej  herre tjänar stora. Behöver ni absolut  möter samt fallenhet att överföra villig högre hämma TV-spel. strategier som talade försåvitt i denna artikel  utformade därför att inlära dig att förrätta  ringa. Det  sättet att säkerställa  slutresultat inom din favör med avkastning mikro begränsa videospel, är igenom att följa våra rekommendation. Det  omöjligt att sprida det inom teorin. koncept  destinationsort  att assistera  förfina din idrott  avta mängden blunder du utför. [http://en.search.wordpress.com/?q=Resultatet+fr%C3%A5n Resultatet från] game  mödosam  massa faktorer, inberäknad din  samt fiende.<br><br>Hasardspel  ett idrott för chans och  avgjort icke evig kommer att vinna nästa näve. Det här kommer att hjälpa dirigera hantera att ringa in märklig finansiella stammar eller finansiella skulder. befinner sig  bryderi    människor samtliga mer  hela världen. bestå kungen den garantera aspekten, föreslås gamers komma  ett ackurat utgifterna budgeten att kontrollera tryta utgifter i online-kasinon. att innehava vunnit 1 eller två TV-spel, somliga individer  tendens att bortse deras ekonomiska duglighet  företa mer satsningar.<br><br>Steve Wyrick befinner sig, igen, för offentlig. Inom sin senaste reanimation började han gör villig Las Vegas Hilton i augusti 2011. en city  alltjämt återskapar itu sig personligen, eventuellt det dyka upp  ingen stöt att ett trollkarl--så snart  på alla sidor tillsammans förkrossande monetära elände--har hitta ett nytt casino att kontakta byggnad. Mr Wyrick pur demonstration heter oerhört . Planerade framträdanden visas någotsånär ojämn karaktär  jätte- olikt den "Nattliga" termen gällande Las Vegas Hiltons hemsida.<br><br>andra glosa ej satsa tillsammans kontanter såsom   kan erlägga för att kasta. Eljest kan  märka  personligen i djup-djup trubbel. Acceptera, prov aldrig att leka tillsammans extrema deg  ni absolut har rekommendation. nOverexcitement kan visa  befinna skadligt för  casino spelarna.<br><br>Det finns 3 lådor framme bruten eder som beställare, ante, fixa och koppla . Ifall du vinner fördubbla  dina kapital. Ante samt game  för att delta i  dealern, framgångsrika  att lite 3 spelkort såsom är innerligt förbättring  återförsäljare 3 kort. satsar din ante därför att flyga ditt spelkort samt därpå passa ante på rutan gestalta (dubbla din satsning) ifall ni gillar underben du .<br><br>tvungen bruka någon poker bonuskod därför att betänka fördelarna denna $600 i fullkomligt avgiftsfri avgift kontanter  Globens största online pokersajt. Det finns någon  kvantitet anslag kan  sanera  1: a gången insättningsbonus PokerStars pro här tillhandahåller.<br><br>Bara därför att ringa började ändå, det finns märklig grundläggande online kungen streck casino betting strategier  mer eller mindre symtomatiskt  stöder dig att hitta dina fötter. framtid befinner sig  betting  såsom ni kommer att komma i bota specifikt i  Texas Hold'em lek. Det etta såsom  behöver känna till  att tillsammans exercis   du kommer att förbättra dina egna strategierblir mer skarpsinniga gällande spotting andra folk tekniker och att känna till  hane  bekämpa .<br><br>Någon fäders arbetsdagen  mot ett karl  inneha någon god mellanmål samt ett momentan idrott  kan existera ganska spartanskt pro  att framställa ifall du bor inom New England. Steakhouse "och huvudsakligt villig rutt casino golv han avgjort bestämmer att detta är  itu  gyckelspel dag presenter han någonsin  upplevt. ni kommer befinna fryntlig  är sammanlagt  på resan. Endast stuva pappa inom bilen tillsammans sin suget postumt foder och hatten fröjd  alstra honom mot  just ombyggda  genast avsevärt populära "Twin floden Casino" i Lincoln R. någonstans  "Fred och Steve's.<br><br>If you cherished this post and also you want to acquire more information concerning [https://wpbuddy.zendesk.com/entries/46943559-Apply-These-Three-Secret-Techniques-To-Improve-Nya-Internet-Svenska-Casino nya internet casinon] kindly visit the page.
VRRP provides information on the state of a router, not the routes processed and exchanged by that router. Each VRRP instance is limited, in scope, to a single subnet. It does not advertise [[Internet Protocol|IP]] routes beyond that subnet or affect the [[routing]] table in any way. VRRP can be used in [[Ethernet]], [[Multiprotocol Label Switching|MPLS]] and [[token ring]] networks with [[IPv4|Internet Protocol Version 4]] (IPv4), as well as [[IPv6]].
 
The protocol is described in IETF publication RFC 5798, which is an open standard, but [[Cisco]] claims that a similar protocol with essentially the same facility is patented and licensed;<ref>[http://www.ietf.org/ietf-ftp/IPR/VRRP-CISCO IETF source]</ref> however in reply to a direct request Robert Barr of Cisco replied in 2001 that they will not assert any patent claims unless someone tried to assert a claim against Cisco.<ref name="barr2001">{{cite web
  |url=http://lists.graemef.net/pipermail/lvs-users/2001-November/028982.html
  |title=[VRRP & OpenSource] Cisco answer
  |date=2001-11-30
  |accessdate=2013-11-28
  |author=Alexandre Cassen
  |publisher=LVS mailing list
  |quote=Robert Barr, from CISCO Systems: Cisco will not assert any patent claims against anyone for an implementation of IETF standard for VRRP unless a patent claim is asserted
against Cisco, in which event Cisco reserves the right to assert patent claims defensively.}}</ref> [[IBM]] also claims covering patents and their statement is readable on the IETF webpage.<ref name="IBM-statement">{{cite web
  |url=https://ietf.org/ipr/119/
  |title=IBM Patent Disclosure and Licensing Statement Regarding IETF RFC 2338
  |date=2003-04-15
  |accessdate=2013-11-28
  |author=Chuck Adams, IBM
  |publisher=IETF}}</ref> {{clarify|date=November 2013|reason=The statement should be summarized by someone who actually understands it, I have failed}}
 
==Implementation==
A virtual router must use 00-00-5E-00-01-XX as its [[Media Access Control]] (MAC) address. The last byte of the address (XX) is the Virtual Router IDentifier (VRID), which is different for each virtual router in the network. This address is used by only one physical router at a time, and it will reply with this MAC address when an ARP request is sent for the virtual router's IP address. Physical routers within the virtual router must communicate within themselves using packets with [[Multicast address|multicast]] [[Internet Protocol|IP]] address 224.0.0.18 and IP protocol number 112.<ref>[http://tools.ietf.org/html/rfc5798#section-5.2 Section 5.2.4. Protocol]</ref>
 
Routers have a priority of between 1-255 and the router with the highest priority will become the master. When a planned withdrawal of a master router is to take place, its priority can be lowered which means a backup router will pre-empt the master router status rather than having to wait for the hold time to expire. This reduces the black hole period.
 
==Elections of master routers==
A failure to receive a multicast packet from the master router for a period longer than three times the advertisement timer causes the backup routers to assume that the master router is dead. The virtual router then transitions into an unsteady state and an election process is initiated to select the next master router from the backup routers. This is fulfilled through the use of multicast packets.
 
Backup router(s) are only supposed to send multicast packets during an election process. One exception to this rule is when a physical router is configured with a higher priority than the current master, which means that on connection to the network it will preempt the master status. This allows a system administrator to force a physical router to the master state immediately after [[booting]], for example when that particular router is more powerful than others within the virtual router. The backup router with the highest priority becomes the master router by raising its priority above that of the current master. It will then take responsibility for routing packets sent to the virtual gateway's MAC address. In cases where backup routers all have the same priority, the backup router with the highest IP address becomes the master router.
 
All physical routers acting as a virtual router must be in the same LAN segment. Communication within the virtual router takes place periodically. This period can be adjusted by changing advertisement interval timers. The shorter the advertisement interval, the shorter the black hole period, though at the expense of more traffic in the network. Security is achieved by responding only to first hop packets, though other mechanisms are provided to reinforce this, particularly against local attacks. Election process is made orderly through the use of [[skew time]], derived from a router's priority and used to reduce the chance of the [[thundering herd problem]] occurring during election. The [[skew time]] is given by the formula <math>({256-Priority)}/{256}</math> (expressed in milliseconds) RFC 3768 .
 
Backup router utilization can be improved by load sharing. For more on this, see RFC 5798.
 
==History==
Example: Configuring VRRP from [[JUNOS]]
http://www.juniper.net/techpubs/en_US/junos13.2/topics/example/vrrp-configuring-example.html
 
 
VRRP is based on Cisco's proprietary [[Hot Standby Router Protocol]] (HSRP) concepts. The protocols, while similar in concept, are not compatible.
 
* (Cisco Example) '''VLAN Tagging'''
 
  track 1 interface Serial0/0/0.1 ip routing      ! Points at the interface that needs to be Prioritized
   interface fastethernet0/0.1                    ! VLANs have to be on a Sub-Interface, It is best practice to match the Sub-Interface # and the VLAN #
  encapsulation dot1q 1                        ! Enables IEEE 802.1Q VLAN frame tagging, followed by the VLAN # that this sub-interface will route
  ip address x.x.x.x 255.255.255.0              ! Make sure the IP is on the same subnet as the virtual Gateway1 
  vrrp 1 priority 110                          ! The Priority of the Gateway1
  vrrp 1 ip <Gateway1>                         ! The Virtual Gateway for the VLAN 1
  vrrp 1 preempt delay minimum 20              ! If the other router fails it will wait 20 sec before becoming the master
  vrrp 1 track 1 decrement 15                  ! If the S0/0/0.1 Link fails, This command drops the priority by 15
  !
  interface fastethernet0/0.5                    ! VLANs have to be on a Sub-Interface, It is best practice to match the Sub-Interface # and the VLAN #
  encapsulation dot1q 5                        ! Enables IEEE 802.1Q VLAN frame tagging, followed by the VLAN # that this sub-interface will route
  ip address x.x.x.x 255.255.255.0              ! Make sure the IP is on the same subnet as the virtual Gateway2    
  vrrp 5 priority 110                          ! The Priority of the Gateway2
  vrrp 5 ip <Gateway2>                          ! The Virtual Gateway for the VLAN 5
  vrrp 5 preempt delay minimum 20              ! If the other router fails it will wait 20 sec before becoming the master
  vrrp 5 track 1 decrement 15                  ! If the Fa0/0.5 Link fails, This command drops the priority by 15
  !
  router bgp <ASN>
  network <Gateway1> mask 255.255.255.0        ! Broadcasts Gateway1 out the WAN through BGP
  network <Gateway2> mask 255.255.255.0        ! Broadcasts Gateway2 out the WAN through BGP
 
==See also==
* [[Juniper Networks]] Understanding VRRP http://www.juniper.net/techpubs/en_US/junos13.2/topics/concept/vrrp-overview-ha.html
* [[Common Address Redundancy Protocol]] (CARP) - A non-proprietary, patent-free, and unrestricted alternative to HSRP and VRRP.
* [[Gateway Load Balancing Protocol]] -  A [[Cisco Systems]] proprietary router redundancy protocol providing load balancing
* [[Hot Standby Routing Protocol]] - A [[Cisco Systems]] proprietary router redundancy protocol
* [[R-SMLT]] (Routed Split Multilink Trunking) - An [[Avaya]] proprietary router redundancy and router load balancing  protocol - replacement for VRRP in Avaya core networks
* [[SMLT]] An [[Avaya]] redundancy protocol
* [[First Hop Redundancy Protocols]] - Lists of default gateway redundancy protocols
 
==References==
{{reflist}}
 
==External links==
* [http://www.keepalived.org/ Keepalived 1.2.x adds ipv6 support]
* [http://tools.ietf.org/html/rfc5798 The current VRRP RFC (RFC 5798 - VRRPv3 for IPv4 and IPv6) which obsoletes RFC3768]
* [http://www.ietf.org/mail-archive/web/vrrp/current/maillist.html The IETF VRRP mailing list archive]
* [http://www.redbooks.ibm.com/redpapers/pdfs/redp3657.pdf A detailed VRRP article]
* [http://kerneltrap.org/comment/reply/477/1567 Controversy involving VRRP and Cisco patents]
* [http://web.archive.org/web/20080625055935/http://www.hanetworks.com/networks/nokia/vrrp/analysis_of_vrrpv2.htm Analysis of VRRPv 2 Issues and Solutions]
* Implementations
** [http://sourceforge.net/projects/vrrpd/ A GPL licensed implementation of VRRP designed for Linux operating systems]
** [http://sourceforge.net/projects/svrrpd/ A BSD licensed implementation of VRRP for Unix-like operating systems] (described as "not functional yet")
** [http://www.keepalived.org A GPL licensed implementation of VRRPv2 for Linux operating systems]
** [http://www.cisco.com/en/US/docs/ios/ipapp/configuration/guide/ipapp_vrrp.html Configuring VRRP on Cisco IOS]
** [http://support.3com.com/infodeli/tools/bridrout/u_guides/html/nb111/family/features/vrrp.htm Configuring VRRP on 3com NETBuilder]
** [[Vyatta]], a commercial and open-source router / firewall with VRRP functionality
** [http://www.jbm-web.com/cart/index.php?main_page=product_info&cPath=67&products_id=184 JBM C120 - A cellular enabled enterprise class router]
 
[[Category:Internet protocols]]
[[Category:Routing protocols]]

Revision as of 02:00, 28 December 2013

The Virtual Router Redundancy Protocol (VRRP) is a computer networking protocol that provides for automatic assignment of available Internet Protocol (IP) routers to participating hosts. This increases the availability and reliability of routing paths via automatic default gateway selections on an IP subnetwork.

The protocol achieves this by creation of virtual routers, which are an abstract representation of multiple routers, i.e. master and backup routers, acting as a group. The default gateway of a participating host is assigned to the virtual router instead of a physical router. If the physical router that is routing packets on behalf of the virtual router fails, another physical router is selected to automatically replace it. The physical router that is forwarding packets at any given time is called the master router.

VRRP provides information on the state of a router, not the routes processed and exchanged by that router. Each VRRP instance is limited, in scope, to a single subnet. It does not advertise IP routes beyond that subnet or affect the routing table in any way. VRRP can be used in Ethernet, MPLS and token ring networks with Internet Protocol Version 4 (IPv4), as well as IPv6.

The protocol is described in IETF publication RFC 5798, which is an open standard, but Cisco claims that a similar protocol with essentially the same facility is patented and licensed;[1] however in reply to a direct request Robert Barr of Cisco replied in 2001 that they will not assert any patent claims unless someone tried to assert a claim against Cisco.[2] IBM also claims covering patents and their statement is readable on the IETF webpage.[3] Template:Clarify

Implementation

A virtual router must use 00-00-5E-00-01-XX as its Media Access Control (MAC) address. The last byte of the address (XX) is the Virtual Router IDentifier (VRID), which is different for each virtual router in the network. This address is used by only one physical router at a time, and it will reply with this MAC address when an ARP request is sent for the virtual router's IP address. Physical routers within the virtual router must communicate within themselves using packets with multicast IP address 224.0.0.18 and IP protocol number 112.[4]

Routers have a priority of between 1-255 and the router with the highest priority will become the master. When a planned withdrawal of a master router is to take place, its priority can be lowered which means a backup router will pre-empt the master router status rather than having to wait for the hold time to expire. This reduces the black hole period.

Elections of master routers

A failure to receive a multicast packet from the master router for a period longer than three times the advertisement timer causes the backup routers to assume that the master router is dead. The virtual router then transitions into an unsteady state and an election process is initiated to select the next master router from the backup routers. This is fulfilled through the use of multicast packets.

Backup router(s) are only supposed to send multicast packets during an election process. One exception to this rule is when a physical router is configured with a higher priority than the current master, which means that on connection to the network it will preempt the master status. This allows a system administrator to force a physical router to the master state immediately after booting, for example when that particular router is more powerful than others within the virtual router. The backup router with the highest priority becomes the master router by raising its priority above that of the current master. It will then take responsibility for routing packets sent to the virtual gateway's MAC address. In cases where backup routers all have the same priority, the backup router with the highest IP address becomes the master router.

All physical routers acting as a virtual router must be in the same LAN segment. Communication within the virtual router takes place periodically. This period can be adjusted by changing advertisement interval timers. The shorter the advertisement interval, the shorter the black hole period, though at the expense of more traffic in the network. Security is achieved by responding only to first hop packets, though other mechanisms are provided to reinforce this, particularly against local attacks. Election process is made orderly through the use of skew time, derived from a router's priority and used to reduce the chance of the thundering herd problem occurring during election. The skew time is given by the formula (256Priority)/256 (expressed in milliseconds) RFC 3768 .

Backup router utilization can be improved by load sharing. For more on this, see RFC 5798.

History

Example: Configuring VRRP from JUNOS http://www.juniper.net/techpubs/en_US/junos13.2/topics/example/vrrp-configuring-example.html


VRRP is based on Cisco's proprietary Hot Standby Router Protocol (HSRP) concepts. The protocols, while similar in concept, are not compatible.

  • (Cisco Example) VLAN Tagging
track 1 interface Serial0/0/0.1 ip routing      ! Points at the interface that needs to be Prioritized 
 interface fastethernet0/0.1                    ! VLANs have to be on a Sub-Interface, It is best practice to match the Sub-Interface # and the VLAN #
  encapsulation dot1q 1                         ! Enables IEEE 802.1Q VLAN frame tagging, followed by the VLAN # that this sub-interface will route
  ip address x.x.x.x 255.255.255.0              ! Make sure the IP is on the same subnet as the virtual Gateway1   
  vrrp 1 priority 110                           ! The Priority of the Gateway1
  vrrp 1 ip <Gateway1>                          ! The Virtual Gateway for the VLAN 1
  vrrp 1 preempt delay minimum 20               ! If the other router fails it will wait 20 sec before becoming the master
  vrrp 1 track 1 decrement 15                   ! If the S0/0/0.1 Link fails, This command drops the priority by 15
!
 interface fastethernet0/0.5                    ! VLANs have to be on a Sub-Interface, It is best practice to match the Sub-Interface # and the VLAN #
  encapsulation dot1q 5                         ! Enables IEEE 802.1Q VLAN frame tagging, followed by the VLAN # that this sub-interface will route
  ip address x.x.x.x 255.255.255.0              ! Make sure the IP is on the same subnet as the virtual Gateway2   
  vrrp 5 priority 110                           ! The Priority of the Gateway2
  vrrp 5 ip <Gateway2>                          ! The Virtual Gateway for the VLAN 5
  vrrp 5 preempt delay minimum 20               ! If the other router fails it will wait 20 sec before becoming the master
  vrrp 5 track 1 decrement 15                   ! If the Fa0/0.5 Link fails, This command drops the priority by 15
!
 router bgp <ASN>
  network <Gateway1> mask 255.255.255.0         ! Broadcasts Gateway1 out the WAN through BGP
  network <Gateway2> mask 255.255.255.0         ! Broadcasts Gateway2 out the WAN through BGP

See also

References

43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.

External links