Difference between revisions of "ApCoCoA-1:Latte.Ehrhart"
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Latest revision as of 10:10, 7 October 2020
| This article is about a function from ApCoCoA-1. |
Latte.Ehrhart
Computes the ehrhart series as a rational function 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
@return The Ehrhart-series (or the Taylor series expansion to degree n of the Ehrhart series) of the polyhedral P
The following parameter is optional:
@param Degree: Integer n > 0, when using this parameter, the function computes the Taylor series expansion of the Ehrhart series to degree n
Example
Use S ::= QQ[x,y]; Equations := []; LesserEq := [x-1, x+y-1]; GreaterEq := [x,y]; Latte.Ehrhart(Equations, LesserEq, GreaterEq); -1/(x^3 - 3x^2 + 3x - 1) -------------------------------
