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=== Sage 8.0 ===

Here is a sample of changes related to Polyhedral Geometry in this release.

 * Highlights:
   * Integration with Latte (function .integrate() )
   * New class for Voronoi Diagrams
   * Backend polymake for polyhedron

 * Improvements:
   * Fixed CartesianProduct with distinct dimensions
   * Fixed an error in .is_lattice_polytope()
   * Fixed overflow in integral_points()
   * Fixed normaliz backend with empty polyhedron

 * New methods for Polyhedron:
   * integral_points_count()

=== Sage 7.6 ===

Here is a sample of changes related to Polyhedral Geometry in this release:

 * Improvements:
   * documentation of Combinatorial and Discrete Geometry
   * combinatorial_automorphism_group
   * Fixes on .volume()
   * Fixes in integral_points()

 * New methods for Polyhedron:
   * .is_inscribed()
   * .neighborliness()
   * .is_neighborly()
   * .normal_fan()
   * .face_fan()
   * .is_combinatorially_isomorphic()
   * .face_truncation()

 * New methods for SimplicialComplexes:
   * star of a face
   * stellar subdivision

 * Generic interface to latte integrale:
   * count points

A Roadmap for Optimization and Polyhedral Geometry softwares interactions

(around Sage, (PyQ)Normaliz, SCIP, e-antic, Polymake, and others)

This page is intended to describe the current status of development of Sage related to optimization and polyhedral geometry.

Future & Current Projects

  • Extend the usage of Normaliz in Sage
  • Extend the polyhedral geometry component of sage
  • Polyhedral arrangements and complexes

Meetings

Sage Days 84 on Polytopes in Olot

Tickets

Here are some practical lists of tickets:

Tickets from the Sage Days 84 March 2017

Tickets from the IMA Coding Sprint - April 2018

Tickets with keyword polytope

Current tickets of the Geometry component

Meta-tickets

There are already a few meta-tickets related to this topic:

To do

  • Test the algebraic polytopes #25097

  • Make Polyhedron_normaliz accept algebraic stuff, related to #25097 (adapt _init_from_Hrepresentation)

  • Add known irrational polytope to the library of polytopes
  • repr of NumberFields (the parents) should indicate its embedding if there is one #21161 (this ticket will help in debugging and have good feedback)

  • Thematic Tutorial for Py(Q)Normaliz installation/Usage in Sage
  • Increase documentation in Py(Q)Normaliz
  • Deprecate the opacity argument for plot3d and use alpha #21984

  • Make Ehrhart (quasi)polynomial accessible through normaliz (and consisten with the current one) #18957

  • Adjust the new features of the normaliz backend to the latest version #25091 #25090

Progress Report Timeline

April 2018

Sage

Here are improvements realized to objects related to polyhedron in Sage:

  • Thematic tutorial on polyhedron in Sage #22572

  • Make features of normaliz accessible #25091

  • number_field_elements_from_algebraics should create embedded number field elements #20181 Sage-devel discussion

  • Helper functions and improvements in the normaliz backend #25097

  • Change error message in construction of polyhedron object #24835

  • Improve the output of repr_pretty for Polyhedron #24837

  • Implement stacking onto a face of a polyhedron #24847

  • Implement join of polytopes #24848

  • Implement one point suspension and face split of polyhedron #24886

  • The polar of a polyhedron should carry the backend used #25081

  • Construct RationalPolyhedralFan from possibly overlapping cones #25122

  • polygon3d ignores the "alpha" (and equivalent "opacity") argument #25095

  • Update normaliz 3.5.3 and pynormaliz 1.12 in Sage. Now Positive review. #22984

  • PolyhedralComplex: preliminary implementation, see #20877

(Q)Normaliz

http://normaliz.uni-osnabrueck.de

Py(Q)Normaliz

https://pypi.python.org/pypi/PyNormaliz https://github.com/Normaliz/PyNormaliz

PyScipOpt

https://github.com/SCIP-Interfaces/PySCIPOpt

Sage devel discussion

  • Upgrade scipoptsuite to 5.0.1 #24662

  • Add SCIP backend using PySCIPOpt #21003

Polymake

https://polymake.org/doku.php

  • Upgrade polymake to version 3.2r2 (current interface breaks) #24905

Sage 8.0

Here is a sample of changes related to Polyhedral Geometry in this release.

  • Highlights:
    • Integration with Latte (function .integrate() )
    • New class for Voronoi Diagrams
    • Backend polymake for polyhedron
  • Improvements:
    • Fixed CartesianProduct with distinct dimensions

    • Fixed an error in .is_lattice_polytope()
    • Fixed overflow in integral_points()
    • Fixed normaliz backend with empty polyhedron
  • New methods for Polyhedron:
    • integral_points_count()

Sage 7.6

Here is a sample of changes related to Polyhedral Geometry in this release:

  • Improvements:
    • documentation of Combinatorial and Discrete Geometry
    • combinatorial_automorphism_group
    • Fixes on .volume()
    • Fixes in integral_points()
  • New methods for Polyhedron:
    • .is_inscribed()
    • .neighborliness()
    • .is_neighborly()
    • .normal_fan()
    • .face_fan()
    • .is_combinatorially_isomorphic()
    • .face_truncation()
  • New methods for SimplicialComplexes:

    • star of a face
    • stellar subdivision
  • Generic interface to latte integrale:
    • count points

A list of other Polyhedral Geometry softwares

What are other softwares dealing with polyhedral geometry? Here is a non-exhaustive list.

OptiPolyGeom (last edited 2020-03-08 13:41:55 by jipilab)