Network Working Group H. Kennedy Request for Comments: 3091 University of Michigan Category: Informational 1 April 2001 Pi Digit Generation Protocol Status of this Memo This memo provides information for the Internet community. It does not specify an Internet standard of any kind. Distribution of this memo is unlimited. Copyright Notice Copyright (C) The Internet Society (2001). All Rights Reserved.
AbstractThis memo defines a protocol to provide the Pi digit generation service (PIgen) used between clients and servers on host computers. Introduction This protocol is intended to provide the Pi digit generation service (PIgen), and be used between clients and servers on host computers. Typically the clients are on workstation hosts lacking local Pi support, and the servers are more capable machines with greater Pi calculation capabilities. The essential tradeoff is the use of network resources and time instead of local computational cycles. 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 RFC 2119 [RFC2119]. Note All digits supplied by implementations of this service are ASCII [US-ASCII] representations of decimal (base 10) numbers following the decimal point in values or approximations of Pi. There MUST be an implied decimal value of 3 (three) preceding the values provided by the service defined by this protocol.
starting with the most significant digit following the decimal point. Any incoming data MUST be discarded. This continues until the client closes the connection. The data flow over the connection is limited by the normal TCP flow control mechanisms, so there is no concern about the server sending data faster than the client can process it. Servers MAY use any appropriate method of Pi digit generation to provide this service, including (but not limited to) table lookup [DIGITS], numerical calculation [FIBPI,PIFFT] and statistical sampling [MCM]. However, the method chosen SHOULD provide a precise value for the digits of Pi generated. Implementors of PIgen MUST provide this service to be conditionally compliant with this RFC. sections 2.1.1. and 2.1.2. The requested digit value MAY be determined by any appropriate method of Pi digit generation. RECOMMENDED methods include table lookup [DIGITS], or numerical calculation [BBPPA]. RFC2234]).
sections 2.1.1. and 2.1.2. section 2.1.2. to the IP multicast group 314.159.265.359. There is no request structure. If a server implementing this component of the protocol suite joins the PIgen multicast group and does not detect a server providing digits within 30 seconds, it MAY elect to become the PIgen multicast provider. The PIgen multicast provider generates a random distribution of the digits of Pi and sends them out to the multicast group. PIgen multicast clients build up a coherent value of Pi by listening to the multicast group over time. The randomly selected digit value MAY be determined by any appropriate method of Pi digit generation. RECOMMENDED methods include table lookup [DIGITS], or numerical calculation [BBPPA]. To ensure an adequately random distribution, a proper random number generator should be used, see [RANDOM] for some examples.
RFC2782]. The service used is "pigen" and the protocols used are "tcp" and "udp". Approximate services (sections 1.1. and 2.2.) should be discovered using a service of "pigem". This allows for central administration of addressing, fallback for failed relays and collectors, and static load balancing. [RFC2119] Bradner, S., "Key words for use in RFCs to Indicate Requirement Levels", BCP 14, RFC 2119, March 1997. [US-ASCII] Coded Character Set--7-Bit American Standard Code for Information Interchange, ANSI X3.4-1986. [DIGITS] ftp://pi.super-computing.org/pub/pi [FIBPI] Pi and the Fibonacci Numbers http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/ fibpi.html [PIFFT] Pi Calculation based on FFT and AGM http://momonga.t.u- tokyo.ac.jp/~ooura/pi_fft.html [MCM] The Monte Carlo Method http://www.daimi.aau.dk/~u951581/pi/MonteCarlo/pimc.html [BBPPA] Bailey-Borwien-Plouffe Pi Algorithm http://www.mathsoft.com/asolve/plouffe/plouffe.html [RFC2234] Crocker, D. and P. Overell, "Augmented BNF for Syntax Specifications: ABNF", RFC 2234, November 1997. [RANDOM] Randomness for Crypto http://www.cs.berkeley.edu/~daw/rnd/ [RFC2782] Gulbrandsen, A., Vixie, P. and L. Esibov, "A DNS RR for specifying the location of services (DNS SRV)", RFC 2782, February 2000.
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