replace Rel with tuple

tc/include/tc/core.hpp

@@ -10,7 +10,5 @@
 #include "group.hpp"
 
 namespace tc {
-    using Coset = unsigned int;
-    
     Cosets solve(const Group &group, const std::vector<Coset> &sub_gens);
 }

tc/include/tc/cosets.hpp

@@ -5,6 +5,12 @@
 #include "cosets.hpp"
 
 namespace tc {
+    using Coset = uint32_t;
+    using Gen = uint16_t;
+    using Mult = uint16_t;
+    
+    using Rel = std::tuple<Gen, Gen, Mult>;
+
     struct Cosets {
         int ngens;
         std::vector<int> data;

tc/include/tc/group.hpp

@@ -23,11 +23,12 @@ namespace tc {
         }
 
         void set(const Rel &r) {
-            _mults(r.gens[0], r.gens[1]) = r.mult;
+            auto &[i, j, m] = r;
+            _mults(i, j) = m;
         }
 
-        [[nodiscard]] int get(int a, int b) const {
-            return _mults(a, b);
+        [[nodiscard]] int get(int i, int j) const {
+            return _mults(i, j);
         }
 
         [[nodiscard]] std::vector<Rel> rels() const {

tc/include/tc/util.hpp

@@ -100,21 +100,4 @@ namespace tc {
             return path.size();
         }
     };
-
-    struct Rel {
-        std::array<int, 2> gens;
-        int mult;
-
-        Rel() = default;
-
-        Rel(const Rel &) = default;
-
-        Rel(int a, int b, int m)
-            : gens({a, b}), mult(m) {
-        }
-
-        [[nodiscard]] Rel shift(int off) const {
-            return Rel(gens[0] + off, gens[1] + off, mult);
-        }
-    };
 }