This file is part of the Coq Numerical Analysis library Copyright (C) Boldo, Clément, Martin, Mayero, Mouhcine This library is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. This library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the COPYING file for more details.

Brief description

Exports support for affine spaces.

Description

It is based on the hierarchy of algebraic structures provided by the Coquelicot library. Provides:

• canonical structures for the affine space algebraic structure;
• operators for finite families on affine spaces;
• support for affine combinations and barycenters;
• support for affine mapping (aka affine space morphisms);
• support for affine subspaces.

Usage

This module is meant to be imported after all imports from the Coq standard library, from the Mathematical Components library, and from other external Coq libraries such as Coquelicot and Flocq. This module may be used through the import of Algebra.Algebra, or Algebra.Algebra_wDep, where it is exported.