Spelling corrections

A number of spelling corrections as reported by the codespell (see: https://github.com/codespell-project/codespell) program and lists.

Some remarks:
- not considered are grammatical errors
- not considered are names in the code although there are a number that could be improved (like `childs` -> `children`)
- in the documentation it could be made clearer what are variables and what is running text (e.g. by placing variables in running text between backticks)
- some comments are in the French language, I think it would be better to have them in the English (United States version).

3 files changed, 6 insertions, 6 deletions

diff --git a/src/Coxeter_triangulation/include/gudhi/Coxeter_triangulation/Cell_complex/Hasse_diagram_cell.h b/src/Coxeter_triangulation/include/gudhi/Coxeter_triangulation/Cell_complex/Hasse_diagram_cell.h
index 59e9a350..9b57da3c 100644
--- a/src/Coxeter_triangulation/include/gudhi/Coxeter_triangulation/Cell_complex/Hasse_diagram_cell.h
+++ b/src/Coxeter_triangulation/include/gudhi/Coxeter_triangulation/Cell_complex/Hasse_diagram_cell.h
@@ -95,7 +95,7 @@ class Hasse_diagram_cell {
         deleted_(false) {}
 
   /**
-   * Construcor of a cell of dimension dim having given additional information.
+   * Constructor of a cell of dimension dim having given additional information.
    **/
   Hasse_diagram_cell(Additional_information ai, int dim)
       : dimension(dim), additional_info(ai), position(0), deleted_(false) {}
@@ -125,7 +125,7 @@ class Hasse_diagram_cell {
   inline Additional_information& get_additional_information() { return this->additional_info; }
 
   /**
-   * Procedure to retrive position of the cell in the structure. It is used in
+   * Procedure to retrieve the position of the cell in the structure. It is used in
    * the implementation of Hasse diagram and set by it. Note that removal of
    * cell and subsequent call of clean_up_the_structure will change those
    * positions.
@@ -186,7 +186,7 @@ class Hasse_diagram_cell {
   friend std::ostream& operator<<(
       std::ostream& out, const Hasse_diagram_cell<Incidence_type, Filtration_type, Additional_information>& c) {
     // cout << "position : " << c.position << ", dimension : " << c.dimension << ", filtration: " << c.filtration << ",
-    // size of boudary : " <<  c.boundary.size() << "\n";
+    // size of boundary : " <<  c.boundary.size() << "\n";
     out << c.position << " " << c.dimension << " " << c.filtration << std::endl;
     for (std::size_t bd = 0; bd != c.boundary.size(); ++bd) {
       // do not write out the cells that has been deleted
diff --git a/src/Coxeter_triangulation/include/gudhi/Functions/Function_affine_plane_in_Rd.h b/src/Coxeter_triangulation/include/gudhi/Functions/Function_affine_plane_in_Rd.h
index b29f0906..dc6f5f90 100644
--- a/src/Coxeter_triangulation/include/gudhi/Functions/Function_affine_plane_in_Rd.h
+++ b/src/Coxeter_triangulation/include/gudhi/Functions/Function_affine_plane_in_Rd.h
@@ -51,7 +51,7 @@ struct Function_affine_plane_in_Rd {
    * plane in the d-dimensional Euclidean space.
    *
    * @param[in] normal_matrix A normal matrix of the affine plane. The number of rows should
-   * correspond to the ambient dimension, the number of columns should corespond to
+   * correspond to the ambient dimension, the number of columns should correspond to
    * the size of the normal basis (codimension).
    * @param[in] offset The offset vector of the affine plane.
    * The dimension of the vector should be the ambient dimension of the manifold.
@@ -66,7 +66,7 @@ struct Function_affine_plane_in_Rd {
    * plane in the d-dimensional Euclidean space that passes through origin.
    *
    * @param[in] normal_matrix A normal matrix of the affine plane. The number of rows should
-   * correspond to the ambient dimension, the number of columns should corespond to
+   * correspond to the ambient dimension, the number of columns should correspond to
    * the size of the normal basis (codimension).
    */
   Function_affine_plane_in_Rd(const Eigen::MatrixXd& normal_matrix)
diff --git a/src/Coxeter_triangulation/include/gudhi/Permutahedral_representation/Size_range.h b/src/Coxeter_triangulation/include/gudhi/Permutahedral_representation/Size_range.h
index c43effc8..6b137744 100644
--- a/src/Coxeter_triangulation/include/gudhi/Permutahedral_representation/Size_range.h
+++ b/src/Coxeter_triangulation/include/gudhi/Permutahedral_representation/Size_range.h
@@ -19,7 +19,7 @@ namespace Gudhi {
 
 namespace coxeter_triangulation {
 
-/** \brief Auxillary iterator class for sizes of parts in an ordered set partition.
+/** \brief Auxiliary iterator class for sizes of parts in an ordered set partition.
  */
 template <class T_it>
 class Size_iterator