diff -r ef200e268af2 -r 07682e24c4e8 test/tsp_test.cc --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/test/tsp_test.cc Sun Jan 09 00:57:12 2011 +0100 @@ -0,0 +1,278 @@ +/* -*- mode: C++; indent-tabs-mode: nil; -*- + * + * This file is a part of LEMON, a generic C++ optimization library. + * + * Copyright (C) 2003-2010 + * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport + * (Egervary Research Group on Combinatorial Optimization, EGRES). + * + * Permission to use, modify and distribute this software is granted + * provided that this copyright notice appears in all copies. For + * precise terms see the accompanying LICENSE file. + * + * This software is provided "AS IS" with no warranty of any kind, + * express or implied, and with no claim as to its suitability for any + * purpose. + * + */ + +#include + +#include +#include +#include +#include +#include + +#include +#include +#include +#include +#include + +#include "test_tools.h" + +using namespace lemon; + +// // Tests checkMetricCost() function +// void metricCostTest() { +// GRAPH_TYPEDEFS(FullGraph); +// FullGraph g(10); +// check(checkMetricCost(g, constMap(0)), "Wrong checkMetricCost()"); +// check(checkMetricCost(g, constMap(1)), "Wrong checkMetricCost()"); +// check(!checkMetricCost(g, constMap(-1)), "Wrong checkMetricCost()"); +// +// FullGraph::EdgeMap cost(g); +// for (NodeIt u(g); u != INVALID; ++u) { +// for (NodeIt v(g); v != INVALID; ++v) { +// if (u == v) continue; +// float x1 = g.id(u), x2 = g.id(v); +// float y1 = x1 * x1, y2 = x2 * x2; +// cost[g.edge(u, v)] = std::sqrt((x2-x1)*(x2-x1) + (y2-y1)*(y2-y1)); +// } +// } +// check(checkMetricCost(g, cost), "Wrong checkMetricCost()"); +// float eps = Tolerance::defaultEpsilon(); +// cost[g.edge(g(0), g(9))] = +// cost[g.edge(g(0), g(8))] + cost[g.edge(g(8), g(9))] + eps * 2; +// check(!checkMetricCost(g, cost), "Wrong checkMetricCost()"); +// check(checkMetricCost(g, cost, Tolerance(eps * 4)), +// "Wrong checkMetricCost()"); +// } + +// Checks tour validity +bool checkTour(const FullGraph &gr, const std::vector &p) { + FullGraph::NodeMap used(gr, false); + + int nodes = 0; + for (int i = 0; i < int(p.size()); ++i) { + if (used[p[i]]) return false; + used[p[i]] = true; + ++nodes; + } + + return (nodes == gr.nodeNum()); +} + +// Checks tour validity +bool checkTour(const FullGraph &gr, const Path &p) { + FullGraph::NodeMap used(gr, false); + + if (!checkPath(gr, p)) return false; + if (gr.nodeNum() <= 1 && p.length() != 0) return false; + if (gr.nodeNum() > 1 && p.length() != gr.nodeNum()) return false; + + for (int i = 0; i < p.length(); ++i) { + if (used[gr.target(p.nth(i))]) return false; + used[gr.target(p.nth(i))] = true; + } + return true; +} + +// Checks tour cost +template +bool checkCost(const FullGraph &gr, const std::vector &p, + const CostMap &cost, typename CostMap::Value total) +{ + typedef typename CostMap::Value Cost; + + Cost s = 0; + for (int i = 0; i < int(p.size()) - 1; ++i) + s += cost[gr.edge(p[i], p[i+1])]; + if (int(p.size()) >= 2) + s += cost[gr.edge(p.back(), p.front())]; + + return !Tolerance().different(s, total); +} + +// Checks tour cost +template +bool checkCost(const FullGraph &, const Path &p, + const CostMap &cost, typename CostMap::Value total) +{ + typedef typename CostMap::Value Cost; + + Cost s = 0; + for (int i = 0; i < p.length(); ++i) + s += cost[p.nth(i)]; + + return !Tolerance().different(s, total); +} + +// Tests a TSP algorithm on small graphs +template +void tspTestSmall(const std::string &alg_name) { + GRAPH_TYPEDEFS(FullGraph); + + for (int n = 0; n <= 5; ++n) { + FullGraph g(n); + unsigned nsize = n; + int esize = n <= 1 ? 0 : n; + + TSP alg(g, constMap(1)); + + check(alg.run() == esize, alg_name + ": Wrong total cost"); + check(alg.tourCost() == esize, alg_name + ": Wrong total cost"); + + std::list list; + std::vector vec; + alg.tourNodes(list); + alg.tourNodes(vec); + check(list.size() == nsize, alg_name + ": Wrong node sequence"); + check(vec.size() == nsize, alg_name + ": Wrong node sequence"); + check(alg.tourNodes().size() == nsize, alg_name + ": Wrong node sequence"); + check(checkTour(g, vec), alg_name + ": Wrong node sequence"); + check(checkCost(g, vec, constMap(1), esize), + alg_name + ": Wrong tour cost"); + + SimplePath path; + alg.tour(path); + check(path.length() == esize, alg_name + ": Wrong tour"); + check(checkTour(g, path), alg_name + ": Wrong tour"); + check(checkCost(g, path, constMap(1), esize), + alg_name + ": Wrong tour cost"); + } +} + +// Tests a TSP algorithm on random graphs +template +void tspTestRandom(const std::string &alg_name) { + GRAPH_TYPEDEFS(FullGraph); + + FullGraph g(20); + FullGraph::NodeMap > pos(g); + DoubleEdgeMap cost(g); + + TSP alg(g, cost); + Opt2Tsp opt2(g, cost); + + for (int i = 1; i <= 3; i++) { + for (NodeIt u(g); u != INVALID; ++u) { + pos[u] = dim2::Point(rnd(), rnd()); + } + for (NodeIt u(g); u != INVALID; ++u) { + for (NodeIt v(g); v != INVALID; ++v) { + if (u == v) continue; + cost[g.edge(u, v)] = (pos[u] - pos[v]).normSquare(); + } + } + + check(alg.run() > 0, alg_name + ": Wrong total cost"); + + std::vector vec; + alg.tourNodes(vec); + check(checkTour(g, vec), alg_name + ": Wrong node sequence"); + check(checkCost(g, vec, cost, alg.tourCost()), + alg_name + ": Wrong tour cost"); + + SimplePath path; + alg.tour(path); + check(checkTour(g, path), alg_name + ": Wrong tour"); + check(checkCost(g, path, cost, alg.tourCost()), + alg_name + ": Wrong tour cost"); + + check(!Tolerance().less(alg.tourCost(), opt2.run(alg.tourNodes())), + "2-opt improvement: Wrong total cost"); + check(checkTour(g, opt2.tourNodes()), + "2-opt improvement: Wrong node sequence"); + check(checkCost(g, opt2.tourNodes(), cost, opt2.tourCost()), + "2-opt improvement: Wrong tour cost"); + + check(!Tolerance().less(alg.tourCost(), opt2.run(path)), + "2-opt improvement: Wrong total cost"); + check(checkTour(g, opt2.tourNodes()), + "2-opt improvement: Wrong node sequence"); + check(checkCost(g, opt2.tourNodes(), cost, opt2.tourCost()), + "2-opt improvement: Wrong tour cost"); + } +} + +// Algorithm class for Nearest Insertion +template +class NearestInsertionTsp : public InsertionTsp { +public: + NearestInsertionTsp(const FullGraph &gr, const CM &cost) + : InsertionTsp(gr, cost) {} + typename CM::Value run() { + return InsertionTsp::run(InsertionTsp::NEAREST); + } +}; + +// Algorithm class for Farthest Insertion +template +class FarthestInsertionTsp : public InsertionTsp { +public: + FarthestInsertionTsp(const FullGraph &gr, const CM &cost) + : InsertionTsp(gr, cost) {} + typename CM::Value run() { + return InsertionTsp::run(InsertionTsp::FARTHEST); + } +}; + +// Algorithm class for Cheapest Insertion +template +class CheapestInsertionTsp : public InsertionTsp { +public: + CheapestInsertionTsp(const FullGraph &gr, const CM &cost) + : InsertionTsp(gr, cost) {} + typename CM::Value run() { + return InsertionTsp::run(InsertionTsp::CHEAPEST); + } +}; + +// Algorithm class for Random Insertion +template +class RandomInsertionTsp : public InsertionTsp { +public: + RandomInsertionTsp(const FullGraph &gr, const CM &cost) + : InsertionTsp(gr, cost) {} + typename CM::Value run() { + return InsertionTsp::run(InsertionTsp::RANDOM); + } +}; + +int main() { + GRAPH_TYPEDEFS(FullGraph); + + // metricCostTest(); + + tspTestSmall > >("Nearest Neighbor"); + tspTestSmall > >("Greedy"); + tspTestSmall > >("Nearest Insertion"); + tspTestSmall > >("Farthest Insertion"); + tspTestSmall > >("Cheapest Insertion"); + tspTestSmall > >("Random Insertion"); + tspTestSmall > >("Christofides"); + tspTestSmall > >("2-opt"); + + tspTestRandom >("Nearest Neighbor"); + tspTestRandom >("Greedy"); + tspTestRandom >("Nearest Insertion"); + tspTestRandom >("Farthest Insertion"); + tspTestRandom >("Cheapest Insertion"); + tspTestRandom >("Random Insertion"); + tspTestRandom >("Christofides"); + tspTestRandom >("2-opt"); + + return 0; +}