refactor into cmake project, tweak api

include/tc/groups.hpp

@@ -0,0 +1,70 @@
+#pragma once
+
+#include "core.hpp"
+
+
+namespace tc {
+    /**
+     * Construct a group from a (simplified) Schlafli Symbol of the form [a, b, ..., c]
+     * @param mults: The sequence of multiplicites between adjacent generators.
+     */
+    Group schlafli(const std::vector<int> &mults, const std::string &name);
+
+    /**
+     * Construct a group from a (simplified) Schlafli Symbol of the form [a, b, ..., c]
+     * @param mults: The sequence of multiplicites between adjacent generators.
+     */
+    Group schlafli(const std::vector<int> &mults);
+
+    namespace group {
+        /**
+         * Simplex
+         */
+        Group A(int dim);
+
+        /**
+         * Cube, Orthoplex
+         */
+        Group B(int dim);
+
+        /**
+         * Demicube, Orthoplex
+         */
+        Group D(int dim);
+
+        /**
+         * E groups
+         */
+        Group E(int dim);
+
+        /**
+         * 24 Cell
+         */
+        Group F4();
+
+        /**
+         * Hexagon
+         */
+        Group G2();
+
+        /**
+         * Icosahedron
+         */
+        Group H(int dim);
+
+        /**
+         * Polygonal
+         */
+        Group I2(int n);
+
+        /**
+         * Toroidal. I2(n) * I2(m)
+         */
+        Group T(int n, int m);
+
+        /**
+         * Toroidal. T(n, n)
+         */
+        Group T(int n);
+    }
+}