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tc::Group is actually a Coxeter matrix.

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This commit is contained in:
David Allemang
2021-11-05 16:59:23 -04:00
parent c462d9ce62
commit bc5c96df80
1 changed files with 8 additions and 1 deletions
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9
include/tc/group.hpp
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@@ -15,7 +15,7 @@ namespace {
}
namespace tc {
/// A Schlafli Matrix
/// A Coxeter Matrix
template<unsigned int Rank>
class Group : public Eigen::Matrix<unsigned int, Rank, Rank> {
public:
@@ -29,18 +29,25 @@ namespace tc {
template<unsigned int Rank>
using Symbol = Eigen::Vector<unsigned int, Rank>;
/**
* Create a named coxeter matrix from a simplified schlafli symbol
*/
template<unsigned int Rank>
Group<Rank> schlafli(const Symbol<Rank - 1> &mults, const std::string &name) {
Group<Rank> res;
res.name = name;
res.fill(2);
res.diagonal().fill(1);
res.topRightCorner(Rank - 1, Rank - 1).diagonal() << mults;
res.bottomLeftCorner(Rank - 1, Rank - 1).diagonal() << mults;
return res;
}
/**
* Create a coxeter matrix from a simplified schlafli symbol.
*/
template<unsigned int Rank>
Group<Rank> schlafli(const Symbol<Rank - 1> &mults) {
return schlafli<Rank>(mults, stringify(mults));