forked from mirror/toddcox-faster
81 lines
1.6 KiB
C++
81 lines
1.6 KiB
C++
#pragma once
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#include<array>
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#include<vector>
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#include<string>
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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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Action() = default;
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Action(const Action &) = default;
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Action(int coset, int gen, int target);
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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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Cosets(const Cosets &) = default;
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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]] size_t size() const;
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};
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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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Rel() = default;
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Rel(const Rel &) = default;
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Rel(int a, int b, int m);
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[[nodiscard]] Rel shift(int off) const;
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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;
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std::string name;
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Group(const Group &) = default;
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explicit Group(int ngens, const std::vector<Rel> &rels = {}, std::string name = "G");
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void set(const Rel &r);
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[[nodiscard]] int get(int a, int b) const;
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[[nodiscard]] std::vector<Rel> 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]] Cosets solve(const std::vector<int>& sub_gens = {}) 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, int p);
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}
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