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UNIX for Dummies Questions & Answers
equation calculation on Unix
Post 302096547 by justsam on Thursday 16th of November 2006 07:56:04 AM
11-16-2006
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Hi,
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! The one-dimensional PDE for heat diffusion equation
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! u_t= u_xx
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E**(i*pi)=-1 or e**(j*pi)=-1, something I found out in Python using part of Eulers Identit equation.
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Last login: Fri Dec 13 18:27:30 on ttys000
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LEARN ABOUT OSX
crc16
crc16(n) Cyclic Redundancy Checks crc16(n) __________________________________________________________________________________________________________________________________________________ NAME
crc16 - Perform a 16bit Cyclic Redundancy Check SYNOPSIS
package require Tcl 8.2 package require crc16 ?1.1.1? ::crc::crc16 ?-format format? ?-seed value? ?-implementation procname? message ::crc::crc16 ?-format format? ?-seed value? ?-implementation procname? -filename file ::crc::crc-ccitt ?-format format? ?-seed value? ?-implementation procname? message ::crc::crc-ccitt ?-format format? ?-seed value? ?-implementation procname? -filename file ::crc::xmodem ?-format format? ?-seed value? ?-implementation procname? message ::crc::xmodem ?-format format? ?-seed value? ?-implementation procname? -filename file _________________________________________________________________ DESCRIPTION
This package provides a Tcl-only implementation of the CRC algorithms based upon information provided at http://www.microconsul- tants.com/tips/crc/crc.txt There are a number of permutations available for calculating CRC checksums and this package can handle all of them. Defaults are set up for the most common cases. COMMANDS
::crc::crc16 ?-format format? ?-seed value? ?-implementation procname? message ::crc::crc16 ?-format format? ?-seed value? ?-implementation procname? -filename file ::crc::crc-ccitt ?-format format? ?-seed value? ?-implementation procname? message ::crc::crc-ccitt ?-format format? ?-seed value? ?-implementation procname? -filename file ::crc::xmodem ?-format format? ?-seed value? ?-implementation procname? message ::crc::xmodem ?-format format? ?-seed value? ?-implementation procname? -filename file The command takes either string data or a file name and returns a checksum value calculated using the CRC algorithm. The command used sets up the CRC polynomial, initial value and bit ordering for the desired standard checksum calculation. The result is format- ted using the format(n) specifier provided or as an unsigned integer (%u) by default. A number of common polynomials are in use with the CRC algorithm and the most commonly used of these are included in this package. For convenience each of these has a command alias in the crc namespace. It is possible to implement the CRC-32 checksum using this crc16 package as the implementation is sufficiently generic to extend to 32 bit checksums. As an example this has been done already - however this is not the fastest method to implement this algorithm in Tcl and a separate crc32 package is available. OPTIONS
-filename name Return a checksum for the file contents instead of for parameter data. -format string Return the checksum using an alternative format template. -seed value Select an alternative seed value for the CRC calculation. The default is 0 for the CRC16 calculation and 0xFFFF for the CCITT ver- sion. This can be useful for calculating the CRC for data structures without first converting the whole structure into a string. The CRC of the previous member can be used as the seed for calculating the CRC of the next member. It is also used for accumulating a checksum from fragments of a large message (or file) -implementation procname This hook is provided to allow users to provide their own implementation (perhaps a C compiled extension). The procedure specfied is called with two parameters. The first is the data to be checksummed and the second is the seed value. An integer is expected as the result. The package provides some implementations of standard CRC polynomials for the XMODEM, CCITT and the usual CRC-16 checksum. For con- venience, additional commands have been provided that make use of these implementations. EXAMPLES
% crc::crc16 "Hello, World!" 64077 % crc::crc-ccitt "Hello, World!" 26586 % crc::crc16 -format 0x%X "Hello, World!" 0xFA4D % crc::crc16 -file crc16.tcl 51675 AUTHORS
Pat Thoyts BUGS, IDEAS, FEEDBACK This document, and the package it describes, will undoubtedly contain bugs and other problems. Please report such in the category crc of the Tcllib SF Trackers [http://sourceforge.net/tracker/?group_id=12883]. Please also report any ideas for enhancements you may have for either package and/or documentation. SEE ALSO
cksum(n), crc32(n), sum(n) KEYWORDS
checksum, cksum, crc, crc16, crc32, cyclic redundancy check, data integrity, security CATEGORY
Hashes, checksums, and encryption COPYRIGHT
Copyright (c) 2002, Pat Thoyts crc 1.1.1 crc16(n)