# Difference between revisions of "ApCoCoA-1:Latte.Ehrhart"

## 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);
```