working on memoization

examples/CMakeLists.txt

@@ -0,0 +1,2 @@
+add_executable(memo memotest.cpp)
+target_link_libraries(memo PRIVATE tc vis-util)

examples/memotest.cpp

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+#include <geometry.hpp>
+#include <tc/groups.hpp>
+#include <iostream>
+
+int main() {
+    tc::Group g = tc::group::B(3);
+    CosetMemo m(g);
+
+    m.solve({}, {});
+    m.solve({0}, {});
+    m.solve({0}, {0});
+    m.solve({1}, {});
+    m.solve({1}, {1});
+    m.solve({2}, {});
+    m.solve({2}, {2});
+    m.solve({0, 1}, {});
+    m.solve({0, 1}, {0});
+    m.solve({0, 1}, {1});
+    m.solve({0, 1}, {0, 1});
+    m.solve({1, 2}, {});
+    m.solve({1, 2}, {1});
+    m.solve({1, 2}, {2});
+    m.solve({1, 2}, {1, 2});
+    m.solve({0, 2}, {});
+    m.solve({0, 2}, {0});
+    m.solve({0, 2}, {2});
+    m.solve({0, 2}, {0, 2});
+    m.solve({0, 1, 2}, {});
+    m.solve({0, 1, 2}, {0});
+    m.solve({0, 1, 2}, {1});
+    m.solve({0, 1, 2}, {2});
+    m.solve({0, 1, 2}, {0, 1});
+    m.solve({0, 1, 2}, {1, 2});
+    m.solve({0, 1, 2}, {0, 2});
+    m.solve({0, 1, 2}, {0, 1, 2});
+
+    tc::Group big = tc::group::B(8);
+    CosetMemo mbig(big);
+
+    auto s1 = clock();
+    m.solve({0, 1, 2, 3, 4, 5, 6, 7}, {});
+    auto e1 = clock();
+
+    double t1 = (double) (e1 - s1) / (double) CLOCKS_PER_SEC;
+    std::cout << t1 << std::endl;
+
+    auto s2 = clock();
+    m.solve({0, 1, 2, 3, 4, 5, 6, 7}, {});
+    auto e2 = clock();
+
+    double t2 = (double) (e2 - s2) / (double) CLOCKS_PER_SEC;
+    std::cout << t2 << std::endl;
+}