Ziele Untersuchung
mit Columbo Integrität von
Datenbanken Interaktion und
Portierbarkeit Ergonomie der
Schnittstellen

Angebot Produkte Projekt Beratung

Mittel Analytik Modellierung Sprachen Algebra Logik Hardware Denken Kreativität

Zusammenhänge Gesellschaft Wirtschaft Branche Firma

Benutzer


products/Sources/formale Sprachen/GAP/pkg/semigroups/libsemigroups/tests/ (GAP Algebra Version 4.15.1^©) Datei vom 18.5.2025 mit Größe 14 kB

Quelle test-digraph-helper.cpp

Sprache: C

// libsemigroups - C++ library for semigroups and monoids
// Copyright (C) 2020 James D. Mitchell, Maria Tsalakou
//
// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this program.  If not, see <http://www.gnu.org/licenses/>.
//

#include <algorithm>  // for all_of
#include <cstddef>    // for size_t
#include <cstdint>    // for uint8_t
#include <iterator>   // for reverse_iterator, operat...
#include <stdexcept>  // for runtime_error
#include <string>     // for basic_string, operator==
#include <utility>    // for pair
#include <vector>     // for vector, operator==

#include "catch.hpp"      // for REQUIRE, REQUIRE_NOTHROW, REQUIRE_THROWS_AS
#include "test-main.hpp"  // for LIBSEMIGROUPS_TEST_CASE

#include "libsemigroups/digraph-helper.hpp"  // for is_acyclic, topological_...
#include "libsemigroups/digraph.hpp"         // for ActionDigraph, operator<<
#include "libsemigroups/string.hpp"          // for to_string
#include "libsemigroups/types.hpp"           // for word_type

namespace libsemigroups {
  namespace {
    void add_path(ActionDigraph<size_t>& digraph, size_t n) {
      size_t old_nodes = digraph.number_of_nodes();
      digraph.add_nodes(n);
      for (size_t i = old_nodes; i < digraph.number_of_nodes() - 1; ++i) {
        digraph.add_edge(i, i + 1, 0);
      }
    }

    ActionDigraph<size_t> path(size_t n) {
      ActionDigraph<size_t> g(0, 1);
      add_path(g, n);
      return g;
    }

    void add_clique(ActionDigraph<size_t>& digraph, size_t n) {
      if (n != digraph.out_degree()) {
        throw std::runtime_error("can't do it!");
      }
      size_t old_nodes = digraph.number_of_nodes();
      digraph.add_nodes(n);

      for (size_t i = old_nodes; i < digraph.number_of_nodes(); ++i) {
        for (size_t j = old_nodes; j < digraph.number_of_nodes(); ++j) {
          digraph.add_edge(i, j, j - old_nodes);
        }
      }
    }

    ActionDigraph<size_t> clique(size_t n) {
      ActionDigraph<size_t> g(0, n);
      add_clique(g, n);
      return g;
    }
  }  // namespace

  LIBSEMIGROUPS_TEST_CASE("is_acyclic", "000", "2-cycle", "[quick]") {
    ActionDigraph<size_t> ad;
    ad.add_nodes(2);
    ad.add_to_out_degree(1);
    ad.add_edge(0, 1, 0);
    ad.add_edge(1, 0, 0);
    REQUIRE(!action_digraph_helper::is_acyclic(ad));
    REQUIRE(action_digraph_helper::topological_sort(ad).empty());
  }

  LIBSEMIGROUPS_TEST_CASE("is_acyclic", "001", "1-cycle", "[quick]") {
    ActionDigraph<size_t> ad;
    ad.add_nodes(1);
    ad.add_to_out_degree(1);
    ad.add_edge(0, 0, 0);
    REQUIRE(!action_digraph_helper::is_acyclic(ad));
    REQUIRE(action_digraph_helper::topological_sort(ad).empty());
  }

  LIBSEMIGROUPS_TEST_CASE("is_acyclic", "002", "multi-digraph", "[quick]") {
    using node_type = ActionDigraph<size_t>::node_type;
    ActionDigraph<size_t> ad;
    ad.add_nodes(2);
    ad.add_to_out_degree(2);
    ad.add_edge(0, 1, 0);
    ad.add_edge(0, 1, 1);
    REQUIRE(action_digraph_helper::is_acyclic(ad));
    REQUIRE(action_digraph_helper::topological_sort(ad)
            == std::vector<node_type>({1, 0}));
  }

  LIBSEMIGROUPS_TEST_CASE("is_acyclic",
                          "003",
                          "complete digraph 100",
                          "[quick]") {
    ActionDigraph<size_t> ad;
    size_t const          n = 100;
    ad.add_nodes(n);
    ad.add_to_out_degree(n);
    for (size_t i = 0; i < n; ++i) {
      for (size_t j = 0; j < n; ++j) {
        if (i != j) {
          ad.add_edge(i, j, j);
        }
      }
    }
    REQUIRE(!action_digraph_helper::is_acyclic(ad));
    REQUIRE(action_digraph_helper::topological_sort(ad).empty());
  }

  LIBSEMIGROUPS_TEST_CASE("is_acyclic",
                          "004",
                          "acyclic digraph with 20000 nodes",
                          "[quick]") {
    ActionDigraph<size_t> ad;
    size_t const          n = 20000;
    ad.add_nodes(n);
    ad.add_to_out_degree(2);
    for (size_t i = 0; i < (n / 2 - 1); ++i) {
      ad.add_edge(i, i + 1, 0);
    }
    ad.add_edge(n / 2 - 1, n - 1, 1);
    ad.add_edge(n / 2 + 1, (3 * n) / 4 - 1, 1);
    ad.add_edge(n / 2, 0, 1);
    for (size_t i = n / 2; i < n - 1; ++i) {
      ad.add_edge(i, i + 1, 0);
    }
    REQUIRE(action_digraph_helper::is_acyclic(ad));
    REQUIRE(action_digraph_helper::topological_sort(ad).size()
            == ad.number_of_nodes());
  }

  LIBSEMIGROUPS_TEST_CASE("is_acyclic",
                          "005",
                          "acyclic digraph with 10 million nodes",
                          "[standard]") {
    ActionDigraph<size_t> ad;
    size_t const          n = 10000000;
    ad.add_nodes(n);
    ad.add_to_out_degree(2);
    for (size_t i = 0; i < (n / 2 - 1); ++i) {
      ad.add_edge(i, i + 1, 0);
    }
    ad.add_edge(n / 2 - 1, n - 1, 1);
    ad.add_edge(n / 2 + 1, (3 * n) / 4 - 1, 1);
    ad.add_edge(n / 2, 0, 1);
    for (size_t i = n / 2; i < n - 1; ++i) {
      ad.add_edge(i, i + 1, 0);
    }
    REQUIRE(action_digraph_helper::is_acyclic(ad));
    REQUIRE(action_digraph_helper::topological_sort(ad).size() == n);
  }

  LIBSEMIGROUPS_TEST_CASE("is_acyclic", "006", "for a node", "[quick]") {
    using node_type = ActionDigraph<size_t>::node_type;
    ActionDigraph<size_t> ad;
    size_t const          n = 100;
    ad.add_nodes(n);
    ad.add_to_out_degree(2);
    for (size_t i = 0; i < n - 1; ++i) {
      ad.add_edge(i, i + 1, i % 2);
    }
    action_digraph_helper::add_cycle(ad, 100);

    REQUIRE(std::all_of(
        ad.cbegin_nodes(), ad.cbegin_nodes() + 100, [&ad](node_type const& v) {
          return action_digraph_helper::is_acyclic(ad, v);
        }));

    REQUIRE(std::none_of(ad.crbegin_nodes(),
                         ad.crbegin_nodes() + 100,
                         [&ad](node_type const& v) {
                           return action_digraph_helper::is_acyclic(ad, v);
                         }));
    REQUIRE(!action_digraph_helper::is_acyclic(ad));
    REQUIRE(action_digraph_helper::is_acyclic(ad, 10, 20));
    REQUIRE(!action_digraph_helper::is_acyclic(ad, 100, 120));
    REQUIRE(action_digraph_helper::is_acyclic(ad, 10, 120));
  }

  LIBSEMIGROUPS_TEST_CASE("is_acyclic", "007", "for a node", "[quick]") {
    ActionDigraph<size_t> ad;
    using node_type = decltype(ad)::node_type;
    ad.add_nodes(4);
    ad.add_to_out_degree(1);
    ad.add_edge(0, 1, 0);
    ad.add_edge(1, 0, 0);
    ad.add_edge(2, 3, 0);
    REQUIRE(!action_digraph_helper::is_acyclic(ad));
    REQUIRE(action_digraph_helper::topological_sort(ad).empty());
    REQUIRE(!action_digraph_helper::is_acyclic(ad, 0));
    REQUIRE(action_digraph_helper::topological_sort(ad, 0).empty());
    REQUIRE(!action_digraph_helper::is_acyclic(ad, 1));
    REQUIRE(action_digraph_helper::topological_sort(ad, 1).empty());

    REQUIRE(action_digraph_helper::is_acyclic(ad, 2));
    REQUIRE(action_digraph_helper::topological_sort(ad, 2)
            == std::vector<node_type>({3, 2}));
    REQUIRE(action_digraph_helper::is_acyclic(ad, 3));
    REQUIRE(action_digraph_helper::topological_sort(ad, 3)
            == std::vector<node_type>({3}));
  }

  LIBSEMIGROUPS_TEST_CASE("is_reachable",
                          "008",
                          "acyclic 20 node digraph",
                          "[quick]") {
    ActionDigraph<size_t> ad;
    size_t const          n = 20;
    ad.add_nodes(n);
    ad.add_to_out_degree(2);
    for (size_t i = 0; i < (n / 2 - 1); ++i) {
      ad.add_edge(i, i + 1, 0);
    }
    ad.add_edge(n / 2 - 1, n - 1, 1);
    ad.add_edge(n / 2 + 1, (3 * n) / 4 - 1, 1);
    ad.add_edge(n / 2, 0, 1);
    for (size_t i = n / 2; i < n - 1; ++i) {
      ad.add_edge(i, i + 1, 0);
    }
    REQUIRE(!action_digraph_helper::is_reachable(ad, 1, 10));
    REQUIRE(action_digraph_helper::is_reachable(ad, 10, 1));
    REQUIRE_THROWS_AS(action_digraph_helper::is_reachable(ad, 20, 1),
                      LibsemigroupsException);
    REQUIRE_THROWS_AS(action_digraph_helper::is_reachable(ad, 1, 20),
                      LibsemigroupsException);
    REQUIRE(action_digraph_helper::is_reachable(ad, 1, 1));
  }

  LIBSEMIGROUPS_TEST_CASE("is_reachable", "009", "100 node path", "[quick]") {
    ActionDigraph<size_t> ad;
    size_t const          n = 100;
    ad.add_nodes(n);
    ad.add_to_out_degree(2);
    for (size_t i = 0; i < n - 1; ++i) {
      ad.add_edge(i, i + 1, i % 2);
    }
    for (auto it1 = ad.cbegin_nodes(); it1 < ad.cend_nodes(); ++it1) {
      for (auto it2 = it1 + 1; it2 < ad.cend_nodes(); ++it2) {
        REQUIRE(action_digraph_helper::is_reachable(ad, *it1, *it2));
        REQUIRE(!action_digraph_helper::is_reachable(ad, *it2, *it1));
      }
    }
  }

  LIBSEMIGROUPS_TEST_CASE("is_reachable", "010", "100 node cycle", "[quick]") {
    ActionDigraph<size_t> ad;
    ad.add_to_out_degree(1);
    action_digraph_helper::add_cycle(ad, 100);
    for (auto it1 = ad.cbegin_nodes(); it1 < ad.cend_nodes(); ++it1) {
      for (auto it2 = it1 + 1; it2 < ad.cend_nodes(); ++it2) {
        REQUIRE(action_digraph_helper::is_reachable(ad, *it1, *it2));
        REQUIRE(action_digraph_helper::is_reachable(ad, *it2, *it1));
      }
    }
  }

  LIBSEMIGROUPS_TEST_CASE("is_reachable", "011", "20 node clique", "[quick]") {
    ActionDigraph<size_t> ad = clique(20);
    for (auto it1 = ad.cbegin_nodes(); it1 < ad.cend_nodes(); ++it1) {
      for (auto it2 = it1 + 1; it2 < ad.cend_nodes(); ++it2) {
        REQUIRE(action_digraph_helper::is_reachable(ad, *it1, *it2));
        REQUIRE(action_digraph_helper::is_reachable(ad, *it2, *it1));
      }
    }
    REQUIRE(ad.validate());
    REQUIRE(action_digraph_helper::topological_sort(ad).empty());
    REQUIRE(action_digraph_helper::topological_sort(ad, 0).empty());
  }

  LIBSEMIGROUPS_TEST_CASE("follow_path", "012", "20 node path", "[quick]") {
    ActionDigraph<size_t> ad = path(20);
    for (auto it = ad.cbegin_panilo(0); it != ad.cend_panilo(); ++it) {
      REQUIRE(action_digraph_helper::follow_path(ad, 0, it->first)
              == it->second);
      REQUIRE(action_digraph_helper::follow_path_nc(ad, 0, it->first)
              == it->second);
    }
  }

  LIBSEMIGROUPS_TEST_CASE("validate_label", "013", "20 node path", "[quick]") {
    ActionDigraph<size_t> ad = path(20);
    REQUIRE_THROWS_AS(action_digraph_helper::validate_label(ad, 10),
                      LibsemigroupsException);
  }

  LIBSEMIGROUPS_TEST_CASE("last_node_on_path_nc",
                          "014",
                          "20 node path",
                          "[quick]") {
    ActionDigraph<size_t> ad   = path(20);
    word_type             path = {};
    for (size_t i = 0; i < 19; ++i) {
      path.push_back(0);
      REQUIRE(action_digraph_helper::last_node_on_path_nc(
                  ad, 0, path.cbegin(), path.cend())
                  .first
              == i + 1);
    }
    path.push_back(0);
    auto p = action_digraph_helper::last_node_on_path_nc(
        ad, 0, path.cbegin(), path.cend());
    REQUIRE(p.first == 19);
    REQUIRE(p.second == path.cend() - 1);
  }

  LIBSEMIGROUPS_TEST_CASE("action_digraph_helper",
                          "015",
                          "detail::to_string",
                          "[quick]") {
    ActionDigraph<size_t> ad = path(6);
    REQUIRE(detail::to_string(ad) == "{{1}, {2}, {3}, {4}, {5}, {-}}");
    REQUIRE(action_digraph_helper::detail::to_string(ad)
            == R"V0G0N(ActionDigraph<size_t> ad;
ad.add_nodes(6);
ad.add_to_out_degree(1);
ad.add_edge(0, 1, 0);
ad.add_edge(1, 2, 0);
ad.add_edge(2, 3, 0);
ad.add_edge(3, 4, 0);
ad.add_edge(4, 5, 0);
)V0G0N");
  }

  LIBSEMIGROUPS_TEST_CASE("action_digraph_helper", "016", "make", "[quick]") {
    auto ad = action_digraph_helper::make<uint8_t>(
        5, {{0, 0}, {1, 1}, {2}, {3, 3}});
    REQUIRE(detail::to_string(ad)
            == "{{0, 0}, {1, 1}, {2, -}, {3, 3}, {-, -}}");
    REQUIRE_THROWS_AS(action_digraph_helper::make<uint8_t>(
                          5, {{0, 0}, {1, 1, 1}, {2}, {3, 3}}),
                      LibsemigroupsException);
    ad = ActionDigraph<uint8_t>(5, 2);
    REQUIRE(detail::to_string(ad)
            == "{{-, -}, {-, -}, {-, -}, {-, -}, {-, -}}");
  }

  LIBSEMIGROUPS_TEST_CASE("action_digraph_helper",
                          "017",
                          "is_connected",
                          "[quick]") {
    auto ad
        = action_digraph_helper::make<size_t>(5, {{0, 0}, {1, 1}, {2}, {3, 3}});
    REQUIRE(!action_digraph_helper::is_connected(ad));
    ad = path(1'000);
    REQUIRE(action_digraph_helper::is_connected(ad));
    REQUIRE(ad.number_of_nodes() == 1'000);
    action_digraph_helper::add_cycle(ad, 100);
    REQUIRE(ad.number_of_nodes() == 1'100);

    REQUIRE(!action_digraph_helper::is_connected(ad));
    ad.add_to_out_degree(1);
    ad.add_edge(0, 1'000, 1);
    REQUIRE(action_digraph_helper::is_connected(ad));
    ad = ActionDigraph<size_t>();
    REQUIRE(action_digraph_helper::is_connected(ad));
  }

  LIBSEMIGROUPS_TEST_CASE("action_digraph_helper",
                          "018",
                          "is_strictly_cyclic",
                          "[quick]") {
    auto ad
        = action_digraph_helper::make<size_t>(5, {{0, 0}, {1, 1}, {2}, {3, 3}});
    REQUIRE(!action_digraph_helper::is_strictly_cyclic(ad));
    ad = path(1'000);
    REQUIRE(action_digraph_helper::is_strictly_cyclic(ad));
    REQUIRE(ad.number_of_nodes() == 1'000);
    action_digraph_helper::add_cycle(ad, 100);
    REQUIRE(ad.number_of_nodes() == 1'100);

    REQUIRE(!action_digraph_helper::is_strictly_cyclic(ad));
    ad.add_to_out_degree(1);
    ad.add_edge(0, 1'000, 1);
    REQUIRE(action_digraph_helper::is_strictly_cyclic(ad));
    ad = ActionDigraph<size_t>();
    REQUIRE(action_digraph_helper::is_strictly_cyclic(ad));
  }
}  // namespace libsemigroups

Messung V0.5 in Prozent

¤ Dauer der Verarbeitung: 0.17 Sekunden (vorverarbeitet am 2026-06-17) ¤

Wurzel

Suchen

PVS Prover

Isabelle Prover

NIST Cobol Testsuite

Cephes Mathematical Library

Vienna Development Method

Haftungshinweis

Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.