Many compiler optimization techniques depend on the ability to calculate the number of integer values that satisfy a given set of linear constraints. This count (the enumerator of a parametric polytope) is a function of the symbolic parameters that may appear in the constraints. In an extended problem (the ``integer projection'' of a parametric polytope), some of the variables that appear in the constraints may be existentially quantified and then the enumerated set corresponds to the projection of the integer points in a parametric polytope. This paper shows how to reduce the enumeration of the integer projection of parametric polytopes to the enumeration of parametric polytopes. Two approaches are described and experimentally compared. B...
International audienceConvex polyhedra capture linear relations between variables. They are used in ...
Polyhedral operations play a central role in constrained control. One of the most fundamental operat...
Le modèle polyédrique est un formalisme utilisé en optimisation automatique de programmes. Il permet...
Abstract. Many compiler optimization techniques depend on the abil-ity to calculate the number of in...
Many compiler techniques depend on the ability to count the number of integer points that satisfy a ...
Although Barvinok's algorithm for counting lattice points in a rational polytope easily extends to l...
Many compiler optimization techniques depend on the ability to calculate the number of elements that...
The polytope model is widely used in compiler analysis for representing a certain class of programs....
The abstract domain of polyhedra lies at the heart of many program analysis techniques. However, its...
The polytope model is widely used in compiler analysis for representing a certain class of programs....
Le modèle polyédrique est un formalisme utilisé en optimisation automatique de programmes. Il permet...
The polyhedral model is a well-known framework for the analysis and transformation of affine loop ne...
The polyhedral model is a well-known compiler optimization framework for the analysis and transforma...
This note brings together two fundamental topics: polyhedral projection and parametric linear progra...
The parametric lattice-point counting problem is as follows: Given an integer matrix A ∈ Zm×n, compu...
International audienceConvex polyhedra capture linear relations between variables. They are used in ...
Polyhedral operations play a central role in constrained control. One of the most fundamental operat...
Le modèle polyédrique est un formalisme utilisé en optimisation automatique de programmes. Il permet...
Abstract. Many compiler optimization techniques depend on the abil-ity to calculate the number of in...
Many compiler techniques depend on the ability to count the number of integer points that satisfy a ...
Although Barvinok's algorithm for counting lattice points in a rational polytope easily extends to l...
Many compiler optimization techniques depend on the ability to calculate the number of elements that...
The polytope model is widely used in compiler analysis for representing a certain class of programs....
The abstract domain of polyhedra lies at the heart of many program analysis techniques. However, its...
The polytope model is widely used in compiler analysis for representing a certain class of programs....
Le modèle polyédrique est un formalisme utilisé en optimisation automatique de programmes. Il permet...
The polyhedral model is a well-known framework for the analysis and transformation of affine loop ne...
The polyhedral model is a well-known compiler optimization framework for the analysis and transforma...
This note brings together two fundamental topics: polyhedral projection and parametric linear progra...
The parametric lattice-point counting problem is as follows: Given an integer matrix A ∈ Zm×n, compu...
International audienceConvex polyhedra capture linear relations between variables. They are used in ...
Polyhedral operations play a central role in constrained control. One of the most fundamental operat...
Le modèle polyédrique est un formalisme utilisé en optimisation automatique de programmes. Il permet...