LattE (Lattice point Enumeration) is a computer software dedicated to the problems of counting lattice points and integration inside convex polytopes. LattE contains the first ever implementation of Barvinok’s algorithm. The LattE macchiato version (by M. Köppe) incorporated fundamental improvements and speed ups. Now the latest version, LattE integrale, has the ability to directly compute integrals of polynomial functions over polytopes and in particular to do volume computations.

This software is also referenced in ORMS.

References in zbMATH (referenced in 83 articles , 2 standard articles )

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  1. Habibi, Jalal; Moshiri, Behzad; Sedigh, Ali Khaki; Morari, Manfred: Low-complexity control of hybrid systems using approximate multi-parametric MILP (2016)
  2. Krumm, David: Computing points of bounded height in projective space over a number field (2016)
  3. Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Dutra, Brandon E.; Köppe, Matthias; Vergne, Michèle: Coefficients of Sylvester’s denumerant (2015)
  4. Bogart, Tristram; Haase, Christian; Hering, Milena; Lorenz, Benjamin; Nill, Benjamin; Paffenholz, Andreas; Rote, Günter; Santos, Francisco; Schenck, Hal: Finitely many smooth $d$-polytopes with $n$ lattice points (2015)
  5. Bruns, Winfried; Söger, Christof: The computation of generalized Ehrhart series in normaliz (2015)
  6. Chin, Eric B.; Lasserre, Jean B.; Sukumar, N.: Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra (2015)
  7. Powell, Devon; Abel, Tom: An exact general remeshing scheme applied to physically conservative voxelization (2015)
  8. Rouse, Jeremy; Webb, John J.: On spaces of modular forms spanned by eta-quotients (2015)
  9. Slavković, Aleksandra; Zhu, Xiaotian; Petrović, Sonja: Fibers of multi-way contingency tables given conditionals: relation to marginals, cell bounds and Markov bases (2015)
  10. Xin, Guoce: A Euclid style algorithm for MacMahon’s partition analysis (2015)
  11. Fishman, George S.: Counting subsets of contingency tables (2014)
  12. Henze, Matthias: On counterexamples to a conjecture of Wills and Ehrhart polynomials whose roots have equal real parts (2014)
  13. Beck, Matthias; De Silva, Jessica; Dorfsman-Hopkins, Gabriel; Pruitt, Joseph; Ruiz, Amanda: The combinatorics of interval vector polytopes (2013)
  14. Cueto, María Angélica; Lin, Shaowei: Tropical secant graphs of monomial curves (2013)
  15. De Loera, Jesus A.; Dutra, Brandon; Köppe, Matthias; Moreinis, Stanislav; Pinto, Gregory; Wu, Jianqiu: Software for exact integration of polynomials over polyhedra (2013)
  16. Emiris, Ioannis Z.; Kalinka, Tatjana; Konaxis, Christos; Ba, Thang Luu: Implicitization of curves and (hyper)surfaces using predicted support (2013)
  17. Hiraishi, Kunihiko; Kobayashi, Koich: An approximation algorithm for box abstraction of transition systems on real state spaces (2013)
  18. Kurz, Sascha; Tautenhahn, Nikolas: On Dedekind’s problem for complete simple games (2013)
  19. Miller, Jeffrey W.; Harrison, Matthew T.: Exact sampling and counting for fixed-margin matrices (2013)
  20. Nakayama, Hiromasa; Nishiyama, Kenta: Examples and exercises (2013)

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