Fixed memoization module

Implement "raise" (called recontext)
Implement tile

examples/CMakeLists.txt

@@ -1,2 +1,5 @@
 add_executable(memo memotest.cpp)
 target_link_libraries(memo PRIVATE tc vis-util)
+
+add_executable(geom geomtest.cpp)
+target_link_libraries(geom PRIVATE tc vis-util)

examples/geomtest.cpp

@@ -0,0 +1,40 @@
+//
+// Created by raymo on 1/20/2020.
+//
+
+#include <tc/groups.hpp>
+#include <geometry.hpp>
+#include <iostream>
+
+int main () {
+    auto g = tc::group::B(3);
+    GeomGen gg(g);
+
+    Simplexes s(1);
+    s.vals.push_back(0);
+    s.vals.push_back(1);
+    s.vals.push_back(0);
+    s.vals.push_back(2);
+    s.vals.push_back(1);
+    s.vals.push_back(2);
+
+    auto g_gens = gg.group_gens();
+    std::vector<int> sg_gens = {1,2};
+    auto ns = gg.tile(g_gens,sg_gens,s);
+
+    std::cout << "Before: " << std::endl;
+    std::cout << '\t';
+    for (int val : s.vals) {
+        std::cout << val << " ";
+    }
+    std::cout << std::endl;
+
+    std::cout << " After: " << std::endl;
+    std::cout << '\t';
+    for (int val : ns.vals) {
+        std::cout << val << " ";
+    }
+    std::cout << std::endl;
+
+    return 0;
+}

examples/memotest.cpp

@@ -1,11 +1,11 @@
 #include <geometry.hpp>
 #include <tc/groups.hpp>
 #include <iostream>
-#include <ctime>
+#include <chrono>
 
 int main() {
     tc::Group g = tc::group::B(3);
-    CosetMemo m(g);
+    GeomGen m(g);
 
     m.solve({}, {});
     m.solve({0}, {});
@@ -36,19 +36,19 @@ int main() {
     m.solve({0, 1, 2}, {0, 1, 2});
 
     tc::Group big = tc::group::B(8);
-    CosetMemo mbig(big);
+    GeomGen mbig(big);
 
-    auto s1 = clock();
+    auto s1 = std::chrono::system_clock::now();
-    m.solve({0, 1, 2, 3, 4, 5, 6, 7}, {});
+    auto res1 = mbig.solve({0,1,2,3,4,7}, {2,4,7});
-    auto e1 = clock();
+    auto e1 = std::chrono::system_clock::now();
 
-    double t1 = (double) (e1 - s1) / (double) CLOCKS_PER_SEC;
+    std::chrono::duration<double> t1 = e1 - s1;
-    std::cout << t1 << std::endl;
+    std::cout << t1.count() << ": " << res1.size() << std::endl;
 
-    auto s2 = clock();
+    auto s2 = std::chrono::system_clock::now();
-    m.solve({0, 1, 2, 3, 4, 5, 6, 7}, {});
+    auto res2 = mbig.solve({0,2,4,7,1,3}, {4,7,2});
-    auto e2 = clock();
+    auto e2 = std::chrono::system_clock::now();
 
-    double t2 = (double) (e2 - s2) / (double) CLOCKS_PER_SEC;
+    std::chrono::duration<double> t2 = e2 - s2;
-    std::cout << t2 << std::endl;
+    std::cout << t2.count() << ": " << res2.size() << std::endl;
 }

vis/include/geometry.hpp

@@ -1,38 +1,183 @@
 #pragma once
 
 #include <tc/core.hpp>
-#include <optional>
 #include <cmath>
+#include <optional>
 
-size_t key(const std::vector<int> &gens) {
+size_t get_key_from_gens(std::vector<int> &gens) {
-    size_t bits = 0;
+    size_t key = 0;
-    for (const auto &gen : gens) {
+    for (const auto gen : gens) {
-        bits |= 1U << gen;
+        key += (1u << (unsigned)gen);
     }
-    return bits;
+    return key;
 }
 
-struct CosetMemo {
+size_t num_gens_from_key(size_t key) {
-    const tc::Group &parent;
+    size_t mask = 1;
-    std::vector<std::vector<std::optional<tc::Cosets>>> results;
+    size_t count = 0;
-
+    while (mask <= key) {
-    explicit CosetMemo(const tc::Group &parent)
+        if (key & mask)
-        : parent(parent) {
+            count++;
-        size_t W = std::pow(2, parent.ngens);
+        mask <<= 1u;
-
-        for (size_t i = 0; i < W; ++i) {
-            results.emplace_back(W, std::nullopt);
-        }
     }
+    return count;
+}
 
-    tc::Cosets solve(const std::vector<int> &group_gens, const std::vector<int> &sub_gens) {
+struct SimplexesList;
-        size_t group_key = key(group_gens);
-        size_t sub_key = key(sub_gens);
 
-        if (!results[group_key][sub_key]) {
+struct Simplexes {
-            results[group_key][sub_key] = parent.subgroup(group_gens).solve(sub_gens);
+    int dim;
-        }
+    std::vector<int> vals;
 
-        return results[group_key][sub_key].value();
+    explicit Simplexes(int dim): dim(dim) {}
+    Simplexes(int dim, std::vector<int> &vals): dim(dim), vals(vals) {}
+    Simplexes(SimplexesList sl);
+
+    size_t size() {
+        return vals.size();
     }
 };
+
+struct SimplexesList {
+    int dim;
+    std::vector<int> vals;
+    int elem_size;
+    Simplexes temp;
+
+    explicit SimplexesList(Simplexes s) : dim(s.dim), elem_size(s.size()), temp(s.dim) {
+        temp.vals.reserve(s.size());
+    }
+
+    void reserve(size_t i) {
+        vals.reserve(elem_size * i);
+    }
+
+    Simplexes& get(size_t i) {
+        temp.vals.clear();
+        temp.vals.insert(temp.vals.end(), vals.begin()+elem_size*i, vals.begin()+elem_size*(i+1));
+        return temp;
+    }
+
+    void push_back(Simplexes s) {
+        vals.insert(vals.end(), s.vals.begin(), s.vals.end());
+    }
+};
+
+Simplexes::Simplexes(SimplexesList sl): Simplexes(sl.dim, sl.vals) {}
+
+struct GeomGen {
+    std::vector<std::vector<std::optional<tc::Cosets>>> coset_memo;
+    tc::Group &context;
+
+    explicit GeomGen(tc::Group &g): context(g) {
+        size_t num_sg = std::pow(2, g.ngens);
+        coset_memo.resize(num_sg);
+        for (size_t i = 0; i < num_sg; i++) {
+            auto num_sg_sg = std::pow(2, num_gens_from_key(i));
+            coset_memo[i].resize(num_sg_sg, std::nullopt);
+        }
+    }
+
+    std::vector<int> group_gens() {
+        std::vector<int> gens(context.ngens);
+        for (int i=0; i < context.ngens; i++) {
+            gens[i] = i;
+        }
+        return gens;
+    }
+
+    std::vector<int> prepare_gens(std::vector<int> &g_gens, std::vector<int> &sg_gens) {
+        std::sort(g_gens.begin(), g_gens.end());
+
+        int inv_gen_map[context.ngens];
+        for (size_t i = 0; i < g_gens.size(); i++) {
+            inv_gen_map[g_gens[i]] = i;
+        }
+
+        std::vector<int> s_sg_gens;
+        s_sg_gens.reserve(sg_gens.size());
+        for (const auto gen : sg_gens) {
+            s_sg_gens.push_back(inv_gen_map[gen]);
+        }
+        std::sort(s_sg_gens.begin(), s_sg_gens.end());
+
+        return s_sg_gens;
+    }
+
+    tc::Cosets _solve(std::vector<int> &g_gens, std::vector<int> &sg_gens) {
+        auto s_sg_gens = prepare_gens(g_gens, sg_gens);
+
+        size_t group_key = get_key_from_gens(g_gens);
+        size_t subgroup_key = get_key_from_gens(s_sg_gens);
+
+        if (!coset_memo[group_key][subgroup_key]) {
+            tc::SubGroup g = context.subgroup(g_gens);
+            coset_memo[group_key][subgroup_key] = g.solve(s_sg_gens);
+        }
+        return *coset_memo[group_key][subgroup_key];
+    }
+
+    tc::Cosets solve(std::vector<int> g_gens, std::vector<int> sg_gens) {
+        return _solve(g_gens, sg_gens);
+    }
+
+    tc::Cosets solve_sg(std::vector<int> &sg_gens) {
+        auto g_gens = group_gens();
+        return _solve(g_gens, sg_gens);
+    }
+
+    tc::Cosets solve_g(std::vector<int> &g_gens) {
+        std::vector<int> sg_gens;
+        return _solve(g_gens, sg_gens);
+    }
+
+    tc::Cosets solve() {
+        std::vector<int> sg_gens;
+        return solve_sg(sg_gens);
+    }
+
+    Simplexes recontext(std::vector<int> &g_gens, std::vector<int> &sg_gens, Simplexes &items) {
+        auto s_sg_gens = prepare_gens(g_gens, sg_gens);
+        auto table = solve_g(g_gens);
+        auto path = solve_g(sg_gens).path;
+
+        auto coset_map = [table](int coset, int gen){return table.get(coset,gen);};
+
+        auto map = path.walk<int,int>(0, s_sg_gens, coset_map);
+
+        Simplexes ret(items.dim);
+        ret.vals.reserve(items.size());
+        for (const auto val : items.vals) {
+            ret.vals.push_back(map[val]);
+        }
+        return ret;
+    }
+
+    Simplexes tile(std::vector<int> &g_gens, std::vector<int> &sg_gens, Simplexes &items) {
+        Simplexes base = recontext(g_gens, sg_gens, items);
+        auto s_sg_gens = prepare_gens(g_gens, sg_gens);
+        auto table = solve_g(g_gens);
+        auto path = _solve(g_gens, sg_gens).path;
+
+        auto simplex_map = [table](const Simplexes& items, int gen) -> Simplexes {
+            Simplexes ret(items.dim);
+            ret.vals.reserve(items.vals.size());
+            // Move the simplexes
+            for (const auto coset : items.vals) {
+                ret.vals.push_back(table.get(coset,gen));
+            }
+            // Reorient the simplexes
+            if (ret.dim > 0) {
+                for (int i = 0; i < ret.size(); i += ret.dim+1) {
+                    std::swap(ret.vals[i],ret.vals[i+1]);
+                }
+            }
+            return ret;
+        };
+
+        SimplexesList ret(base);
+        path.walk<SimplexesList, Simplexes, int>(ret, base, group_gens(), simplex_map);
+
+        return ret;
+    }
+};

vis/src/main.cpp

@@ -57,7 +57,7 @@ int main(int argc, char *argv[]) {
         exit(EXIT_FAILURE);
     }
 
-    auto group = tc::schlafli({5, 3, 3});
+    auto group = tc::group::H(4);
     auto res = group.solve();
     auto mirrors = mirror(group);