Difference between revisions of "ApCoCoA-1:Latte.Ehrhart"
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<command> | <command> | ||
<title>Latte.Ehrhart</title> | <title>Latte.Ehrhart</title> | ||
| − | <short_description> Computes the ehrhart series as a rational funktion for a polyhedral P given by a number of linear constraints</short_description> | + | <short_description>Computes the ehrhart series as a rational funktion for a polyhedral P given by a number of linear constraints</short_description> |
<syntax> | <syntax> | ||
Latte.Ehrhart(Equations: LIST, LesserEq: LIST, GreaterEq: LIST):RATFUN | Latte.Ehrhart(Equations: LIST, LesserEq: LIST, GreaterEq: LIST):RATFUN | ||
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Latte.Ehrhart(Equations: LIST, LesserEq: LIST, GreaterEq: LIST, Degree: INT):RATFUN | Latte.Ehrhart(Equations: LIST, LesserEq: LIST, GreaterEq: LIST, Degree: INT):RATFUN | ||
</syntax> | </syntax> | ||
<description> | <description> | ||
| − | + | <em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoAServer</em>. You will have to start the ApCoCoAServer in order to use it/them. | |
<itemize> | <itemize> | ||
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<type>cocoaserver</type> | <type>cocoaserver</type> | ||
</types> | </types> | ||
| − | <key> | + | <key>Latte</key> |
<key>Ehrhart</key> | <key>Ehrhart</key> | ||
<key>Ehrhart-series</key> | <key>Ehrhart-series</key> | ||
<key>Latte.Ehrhart</key> | <key>Latte.Ehrhart</key> | ||
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<wiki-category>Package_latte</wiki-category> | <wiki-category>Package_latte</wiki-category> | ||
</command> | </command> | ||
Revision as of 11:56, 23 April 2009
Latte.Ehrhart
Computes the ehrhart series as a rational funktion for a polyhedral P given by a number of linear constraints
Syntax
Latte.Ehrhart(Equations: LIST, LesserEq: LIST, GreaterEq: LIST):RATFUN Latte.Ehrhart(Equations: LIST, LesserEq: LIST, GreaterEq: LIST, Degree: INT):RATFUN
Description
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
@param Equations: A list of linear polynomials, which are equivalent to the equality-part of the polyhedral constraints
@param LesserEq: A list of linear polynomials, which are equivalent to the lower or equal-part of the polyhedral constraints
@param GreaterEq: A list of linear polynomials, which are equivalent to the greater or equal-part of the polyhedral constraints
@param Degree: Integer n > 0, when using this parameter, the function computes the Taylor series expansion of the Ehrhart series to degree n
@return The Ehrhart-series (or the Taylor series expansion to degree n of the Ehrhart series) of the polyhedral P
Example
Use S ::= QQ[x,y]; Equations := []; LesserEq := [x-1, x+y-1]; GreaterEq := [x,y]; Latte.Ehrhart(Equations, LesserEq, GreaterEq);
