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Top Forums Shell Programming and Scripting Script to solve second order (polynomial) interpolation Post 302758901 by Tzeronone on Monday 21st of January 2013 03:36:57 AM
Old 01-21-2013
Script to solve second order (polynomial) interpolation

Currently I have awk command to do linear interpolation
Code:
awk '
{
     P[$1]=$2
     I[i++]=$1
}
END {
     j=0; s=I[j]; t=I[j+1]
     for(i=m;i<=n;i++) {
          if(I[j+2] && i>t) {
               j++; s=I[j]; t=I[j+1]
          }
          print i, P[s]+(i-s)*(P[t]-P[s])/(t-s)
     }
} ' m=1 n=8 infile

FILE CONTENT INPUT# a.txt
Code:
#X Y
1 22.3125
4 22.5
8 22.1875

Any idea how to change the code to polynomial interpolation?
Assume that Y of X0 = 0. Please help me...

Last edited by Scrutinizer; 01-21-2013 at 04:54 AM.. Reason: icode tags => code tags
 

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Locale::Codes::LangFam(3)				User Contributed Perl Documentation				 Locale::Codes::LangFam(3)

NAME
Locale::Codes::LangFam - standard codes for language extension identification SYNOPSIS
use Locale::Codes::LangFam; $lext = code2langfam('apa'); # $lext gets 'Apache languages' $code = langfam2code('Apache languages'); # $code gets 'apa' @codes = all_langfam_codes(); @names = all_langfam_names(); DESCRIPTION
The "Locale::Codes::LangFam" module provides access to standard codes used for identifying language families, such as those as defined in ISO 639-5. Most of the routines take an optional additional argument which specifies the code set to use. If not specified, the default ISO 639-5 language family codes will be used. SUPPORTED CODE SETS
There are several different code sets you can use for identifying language families. A code set may be specified using either a name, or a constant that is automatically exported by this module. For example, the two are equivalent: $lext = code2langfam('apa','alpha'); $lext = code2langfam('apa',LOCALE_LANGFAM_ALPHA); The codesets currently supported are: alpha This is the set of three-letter (lowercase) codes from ISO 639-5 such as 'apa' for Apache languages. This is the default code set. ROUTINES
code2langfam ( CODE [,CODESET] ) langfam2code ( NAME [,CODESET] ) langfam_code2code ( CODE ,CODESET ,CODESET2 ) all_langfam_codes ( [CODESET] ) all_langfam_names ( [CODESET] ) Locale::Codes::LangFam::rename_langfam ( CODE ,NEW_NAME [,CODESET] ) Locale::Codes::LangFam::add_langfam ( CODE ,NAME [,CODESET] ) Locale::Codes::LangFam::delete_langfam ( CODE [,CODESET] ) Locale::Codes::LangFam::add_langfam_alias ( NAME ,NEW_NAME ) Locale::Codes::LangFam::delete_langfam_alias ( NAME ) Locale::Codes::LangFam::rename_langfam_code ( CODE ,NEW_CODE [,CODESET] ) Locale::Codes::LangFam::add_langfam_code_alias ( CODE ,NEW_CODE [,CODESET] ) Locale::Codes::LangFam::delete_langfam_code_alias ( CODE [,CODESET] ) These routines are all documented in the Locale::Codes::API man page. SEE ALSO
Locale::Codes The Locale-Codes distribution. Locale::Codes::API The list of functions supported by this module. http://www.loc.gov/standards/iso639-5/id.php ISO 639-5 . AUTHOR
See Locale::Codes for full author history. Currently maintained by Sullivan Beck (sbeck@cpan.org). COPYRIGHT
Copyright (c) 2011-2013 Sullivan Beck This module is free software; you can redistribute it and/or modify it under the same terms as Perl itself. perl v5.16.3 2013-02-27 Locale::Codes::LangFam(3)
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