split coxeter.hpp into header and source

cosets/include/coxeter.hpp

@@ -0,0 +1,82 @@
+#pragma once
+
+#include <map>
+#include <vector>
+#include <algorithm>
+
+struct Mults;
+struct Table;
+struct IRow;
+
+struct Mults {
+   std::map<std::tuple<int, int>, int> mults;
+
+   void set(int a, int b, int mult);
+
+   [[nodiscard]] int get(int a, int b) const;
+
+   [[nodiscard]] std::vector<int> relation(int a, int b) const;
+
+   [[nodiscard]] std::vector<std::vector<int>> relations(std::vector<int> gens) const;
+
+   [[nodiscard]] std::vector<std::vector<int>> irelations(Table *table, std::vector<int> gens) const;
+};
+
+struct Table {
+   const std::vector<int> gens;
+   std::vector<int> gen_inds;
+   std::vector<std::vector<int>> fwd;
+   std::vector<std::vector<int>> rev;
+
+   explicit Table(std::vector<int> gens);
+
+   [[nodiscard]] int gen_index(int gen) const;
+
+   [[nodiscard]] std::vector<int> gen_index_each(std::vector<int> rel) const;
+
+   void add_row();
+
+   int add_coset();
+
+   [[nodiscard]] unsigned size() const;
+
+   void set(int from, int gen, int to);
+
+   [[nodiscard]] int get(int from, int gen) const;
+
+   [[nodiscard]] int rget(int gen, int to) const;
+
+   void iset(int from, int igen, int to);
+
+   [[nodiscard]] int iget(int from, int igen) const;
+
+   [[nodiscard]] int irget(int igen, int to) const;
+
+   [[nodiscard]] std::vector<std::vector<int>> words() const;
+
+   [[nodiscard]] int apply(int e, const std::vector<int> &word) const;
+
+   [[nodiscard]] int apply(const std::vector<int> &word) const;
+
+   [[nodiscard]] std::vector<int> apply_each(int e, const std::vector<std::vector<int>> &words) const;
+
+   [[nodiscard]] std::vector<int> apply_each(const std::vector<std::vector<int>> &words) const;
+};
+
+struct IRow {
+   std::vector<int>::const_iterator l;
+   std::vector<int>::const_iterator r;
+
+   int from;
+   int to;
+
+   IRow(const std::vector<int> &rel, int cos);
+
+   [[nodiscard]] bool learn(Table *table);
+};
+
+Table *solve(const std::vector<int> &gens, const std::vector<int> &subgens, const Mults &mults);
+
+Mults schlafli(const std::vector<int> &symbol);
+
+std::vector<int> all_gens(int N);