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https://github.com/allemangD/toddcox-visualize.git
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working on memoization
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@@ -1,33 +0,0 @@
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#pragma once
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#include "groups.h"
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#include <vector>
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namespace tc {
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struct Action {
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int coset = -1;
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int gen = -1;
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int target = -1;
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};
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struct Cosets {
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int ngens;
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std::vector<int> data;
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std::vector<Action> path;
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int len;
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explicit Cosets(int ngens);
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void add_row();
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void put(int coset, int gen, int target);
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void put(int idx, int target);
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[[nodiscard]] int get(int coset, int gen) const;
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[[nodiscard]] int get(int idx) const;
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[[nodiscard]] int size() const;
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};
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}
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@@ -1,96 +0,0 @@
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#pragma once
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#include <array>
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#include <vector>
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namespace tc {
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struct Rel {
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std::array<int, 2> gens;
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int mult;
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};
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/**
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* A presentation of a coxeter group. Contains a number of generators and some relations of the form (ab)^n = e
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*/
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struct Group {
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const int ngens;
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std::vector<std::vector<int>> _mults; // lookup table for multiplicities
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std::string name;
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explicit Group(int ngens, const std::vector<Rel> &rels = {}, std::string name = "G");
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void setmult(Rel rel);
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[[nodiscard]] Rel rel(int a, int b) const;
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[[nodiscard]] std::vector<Rel> get_rels() const;
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[[nodiscard]] Group product(const Group &other) const;
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[[nodiscard]] Group power(int p) const;
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[[nodiscard]] bool trivial() const;
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};
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Group operator*(const Group &g, const Group &h);
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Group operator^(const Group &g, const int &p);
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/**
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* Construct a group from a (simplified) Schlafli Symbol of the form [a, b, ..., c]
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* @param mults: The sequence of multiplicites between adjacent generators.
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*/
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Group schlafli(const std::vector<int> &mults);
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namespace group {
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/**
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* Simplex
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*/
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Group A(int dim);
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/**
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* Cube, Orthoplex
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*/
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Group B(int dim);
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/**
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* Demicube, Orthoplex
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*/
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Group D(int dim);
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/**
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* E groups
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*/
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Group E(int dim);
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/**
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* 24 Cell
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*/
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Group F4();
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/**
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* Hexagon
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*/
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Group G2();
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/**
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* Icosahedron
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*/
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Group H(int dim);
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/**
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* Polygonal
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*/
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Group I2(int n);
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/**
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* Toroidal. I2(n) * I2(m)
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*/
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Group T(int n, int m);
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/**
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* Toroidal. T(n, n)
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*/
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Group T(int n);
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}
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}
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@@ -1,7 +0,0 @@
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#pragma once
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#include "cosets.h"
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namespace tc {
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Cosets solve(const Group &g, const std::vector<int> &sub_gens = {});
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}
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