Difference between revisions of "ApCoCoA-1:NC.CoCoALToC"
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<command> | <command> | ||
<title>NC.CoCoALToC</title> | <title>NC.CoCoALToC</title> | ||
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<description> | <description> | ||
<par/> | <par/> | ||
| − | Please set non-commutative polynomial ring (via the command <ref>Use</ref>) before calling this function. For more information, please check the relevant commands and functions. | + | Please set non-commutative polynomial ring (via the command <ref>ApCoCoA-1:Use|Use</ref>) before calling this function. For more information, please check the relevant commands and functions. |
<itemize> | <itemize> | ||
<item>@param <em>F</em>: a non-commutative polynomial in the CoCoAL format. Each polynomial is represented as a LIST of LISTs, and each element in every inner LIST involves only one indeterminate or none (a constant). For example, the polynomial <tt>f=2x[2]y[1]x[2]^2-9y[2]x[1]^2x[2]^3+5</tt> is represented as F:=[[2x[1],y[1],x[2]^2], [-9y[2],x[1]^2,x[2]^3], [5]]. The zero polynomial <tt>0</tt> is represented as the empty LIST [].</item> | <item>@param <em>F</em>: a non-commutative polynomial in the CoCoAL format. Each polynomial is represented as a LIST of LISTs, and each element in every inner LIST involves only one indeterminate or none (a constant). For example, the polynomial <tt>f=2x[2]y[1]x[2]^2-9y[2]x[1]^2x[2]^3+5</tt> is represented as F:=[[2x[1],y[1],x[2]^2], [-9y[2],x[1]^2,x[2]^3], [5]]. The zero polynomial <tt>0</tt> is represented as the empty LIST [].</item> | ||
| Line 15: | Line 16: | ||
</itemize> | </itemize> | ||
<example> | <example> | ||
| − | USE | + | USE ZZ/(2)[x[1..2],y[1..2]]; |
| − | F:= [[2x[1],y[1],x[2]^2], [-9y[2],x[1]^2,x[2]^3], [5]]; --2x[1]y[1]x[2]^2-9y[2]x[1]^2x[2]^3+5 | + | F:= [[2x[1],y[1],x[2]^2], [-9y[2],x[1]^2,x[2]^3], [5]]; |
| + | -- 2x[1]y[1]x[2]^2-9y[2]x[1]^2x[2]^3+5=y[2]x[1]^2x[2]^3+1 (over the binary field {0,1}) | ||
NC.CoCoALToC(F); | NC.CoCoALToC(F); | ||
| − | [ | + | [[1, [4, 1, 1, 2, 2, 2]], [1, [ ]]] |
------------------------------- | ------------------------------- | ||
</example> | </example> | ||
</description> | </description> | ||
<seealso> | <seealso> | ||
| − | <see>Use</see> | + | <see>ApCoCoA-1:Use|Use</see> |
| − | <see>NC.CToCoCoAL</see> | + | <see>ApCoCoA-1:NC.CToCoCoAL|NC.CToCoCoAL</see> |
</seealso> | </seealso> | ||
<types> | <types> | ||
| Line 35: | Line 37: | ||
<key>NC.CoCoALToC</key> | <key>NC.CoCoALToC</key> | ||
<key>CoCoALToC</key> | <key>CoCoALToC</key> | ||
| − | <wiki-category>Package_ncpoly</wiki-category> | + | <wiki-category>ApCoCoA-1:Package_ncpoly</wiki-category> |
</command> | </command> | ||
Latest revision as of 10:13, 7 October 2020
| This article is about a function from ApCoCoA-1. |
NC.CoCoALToC
Convert a polynomial in a non-commutative polynomial ring from the CoCoAL format to the C format.
Syntax
NC.CoCoALToC(F:LIST):INT
Description
Please set non-commutative polynomial ring (via the command Use) before calling this function. For more information, please check the relevant commands and functions.
@param F: a non-commutative polynomial in the CoCoAL format. Each polynomial is represented as a LIST of LISTs, and each element in every inner LIST involves only one indeterminate or none (a constant). For example, the polynomial f=2x[2]y[1]x[2]^2-9y[2]x[1]^2x[2]^3+5 is represented as F:=[[2x[1],y[1],x[2]^2], [-9y[2],x[1]^2,x[2]^3], [5]]. The zero polynomial 0 is represented as the empty LIST [].
@return: a LIST, which is the C format of the polynomial F.
Example
USE ZZ/(2)[x[1..2],y[1..2]];
F:= [[2x[1],y[1],x[2]^2], [-9y[2],x[1]^2,x[2]^3], [5]];
-- 2x[1]y[1]x[2]^2-9y[2]x[1]^2x[2]^3+5=y[2]x[1]^2x[2]^3+1 (over the binary field {0,1})
NC.CoCoALToC(F);
[[1, [4, 1, 1, 2, 2, 2]], [1, [ ]]]
-------------------------------
See also
