549 lines
17 KiB
C++
Executable File
549 lines
17 KiB
C++
Executable File
/* -*- mode: C++; indent-tabs-mode: nil; -*-
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*
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* This file is a part of LEMON, a generic C++ optimization library.
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*
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* Copyright (C) 2003-2013
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* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
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* (Egervary Research Group on Combinatorial Optimization, EGRES).
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*
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* Permission to use, modify and distribute this software is granted
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* provided that this copyright notice appears in all copies. For
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* precise terms see the accompanying LICENSE file.
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*
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* This software is provided "AS IS" with no warranty of any kind,
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* express or implied, and with no claim as to its suitability for any
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* purpose.
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*
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*/
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#include <iostream>
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#include <fstream>
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#include <limits>
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#include <lemon/list_graph.h>
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#include <lemon/lgf_reader.h>
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#include <lemon/network_simplex.h>
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#include <lemon/capacity_scaling.h>
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#include <lemon/cost_scaling.h>
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#include <lemon/cycle_canceling.h>
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#include <lemon/concepts/digraph.h>
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#include <lemon/concepts/heap.h>
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#include <lemon/concept_check.h>
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#include "test_tools.h"
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using namespace lemon;
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// Test networks
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char test_lgf[] =
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"@nodes\n"
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"label sup1 sup2 sup3 sup4 sup5 sup6\n"
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" 1 20 27 0 30 20 30\n"
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" 2 -4 0 0 0 -8 -3\n"
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" 3 0 0 0 0 0 0\n"
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" 4 0 0 0 0 0 0\n"
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" 5 9 0 0 0 6 11\n"
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" 6 -6 0 0 0 -5 -6\n"
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" 7 0 0 0 0 0 0\n"
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" 8 0 0 0 0 0 3\n"
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" 9 3 0 0 0 0 0\n"
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" 10 -2 0 0 0 -7 -2\n"
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" 11 0 0 0 0 -10 0\n"
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" 12 -20 -27 0 -30 -30 -20\n"
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"\n"
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"@arcs\n"
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" cost cap low1 low2 low3\n"
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" 1 2 70 11 0 8 8\n"
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" 1 3 150 3 0 1 0\n"
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" 1 4 80 15 0 2 2\n"
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" 2 8 80 12 0 0 0\n"
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" 3 5 140 5 0 3 1\n"
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" 4 6 60 10 0 1 0\n"
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" 4 7 80 2 0 0 0\n"
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" 4 8 110 3 0 0 0\n"
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" 5 7 60 14 0 0 0\n"
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" 5 11 120 12 0 0 0\n"
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" 6 3 0 3 0 0 0\n"
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" 6 9 140 4 0 0 0\n"
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" 6 10 90 8 0 0 0\n"
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" 7 1 30 5 0 0 -5\n"
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" 8 12 60 16 0 4 3\n"
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" 9 12 50 6 0 0 0\n"
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"10 12 70 13 0 5 2\n"
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"10 2 100 7 0 0 0\n"
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"10 7 60 10 0 0 -3\n"
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"11 10 20 14 0 6 -20\n"
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"12 11 30 10 0 0 -10\n"
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"\n"
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"@attributes\n"
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"source 1\n"
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"target 12\n";
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char test_neg1_lgf[] =
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"@nodes\n"
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"label sup\n"
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" 1 100\n"
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" 2 0\n"
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" 3 0\n"
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" 4 -100\n"
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" 5 0\n"
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" 6 0\n"
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" 7 0\n"
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"@arcs\n"
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" cost low1 low2\n"
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"1 2 100 0 0\n"
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"1 3 30 0 0\n"
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"2 4 20 0 0\n"
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"3 4 80 0 0\n"
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"3 2 50 0 0\n"
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"5 3 10 0 0\n"
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"5 6 80 0 1000\n"
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"6 7 30 0 -1000\n"
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"7 5 -120 0 0\n";
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char test_neg2_lgf[] =
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"@nodes\n"
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"label sup\n"
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" 1 100\n"
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" 2 -300\n"
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"@arcs\n"
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" cost\n"
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"1 2 -1\n";
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// Test data
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typedef ListDigraph Digraph;
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DIGRAPH_TYPEDEFS(ListDigraph);
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Digraph gr;
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Digraph::ArcMap<int> c(gr), l1(gr), l2(gr), l3(gr), u(gr);
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Digraph::NodeMap<int> s1(gr), s2(gr), s3(gr), s4(gr), s5(gr), s6(gr);
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ConstMap<Arc, int> cc(1), cu(std::numeric_limits<int>::max());
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Node v, w;
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Digraph neg1_gr;
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Digraph::ArcMap<int> neg1_c(neg1_gr), neg1_l1(neg1_gr), neg1_l2(neg1_gr);
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ConstMap<Arc, int> neg1_u1(std::numeric_limits<int>::max()), neg1_u2(5000);
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Digraph::NodeMap<int> neg1_s(neg1_gr);
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Digraph neg2_gr;
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Digraph::ArcMap<int> neg2_c(neg2_gr);
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ConstMap<Arc, int> neg2_l(0), neg2_u(1000);
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Digraph::NodeMap<int> neg2_s(neg2_gr);
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enum SupplyType {
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EQ,
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GEQ,
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LEQ
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};
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// Check the interface of an MCF algorithm
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template <typename GR, typename Value, typename Cost>
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class McfClassConcept
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{
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public:
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template <typename MCF>
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struct Constraints {
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void constraints() {
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checkConcept<concepts::Digraph, GR>();
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const Constraints& me = *this;
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MCF mcf(me.g);
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const MCF& const_mcf = mcf;
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b = mcf.reset().resetParams()
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.lowerMap(me.lower)
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.upperMap(me.upper)
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.costMap(me.cost)
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.supplyMap(me.sup)
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.stSupply(me.n, me.n, me.k)
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.run();
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c = const_mcf.totalCost();
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x = const_mcf.template totalCost<double>();
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v = const_mcf.flow(me.a);
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c = const_mcf.potential(me.n);
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const_mcf.flowMap(fm);
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const_mcf.potentialMap(pm);
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}
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typedef typename GR::Node Node;
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typedef typename GR::Arc Arc;
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typedef concepts::ReadMap<Node, Value> NM;
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typedef concepts::ReadMap<Arc, Value> VAM;
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typedef concepts::ReadMap<Arc, Cost> CAM;
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typedef concepts::WriteMap<Arc, Value> FlowMap;
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typedef concepts::WriteMap<Node, Cost> PotMap;
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GR g;
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VAM lower;
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VAM upper;
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CAM cost;
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NM sup;
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Node n;
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Arc a;
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Value k;
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FlowMap fm;
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PotMap pm;
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bool b;
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double x;
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typename MCF::Value v;
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typename MCF::Cost c;
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};
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};
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// Check the feasibility of the given flow (primal soluiton)
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template < typename GR, typename LM, typename UM,
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typename SM, typename FM >
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bool checkFlow( const GR& gr, const LM& lower, const UM& upper,
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const SM& supply, const FM& flow,
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SupplyType type = EQ )
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{
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TEMPLATE_DIGRAPH_TYPEDEFS(GR);
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for (ArcIt e(gr); e != INVALID; ++e) {
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if (flow[e] < lower[e] || flow[e] > upper[e]) return false;
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}
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for (NodeIt n(gr); n != INVALID; ++n) {
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typename SM::Value sum = 0;
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for (OutArcIt e(gr, n); e != INVALID; ++e)
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sum += flow[e];
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for (InArcIt e(gr, n); e != INVALID; ++e)
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sum -= flow[e];
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bool b = (type == EQ && sum == supply[n]) ||
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(type == GEQ && sum >= supply[n]) ||
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(type == LEQ && sum <= supply[n]);
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if (!b) return false;
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}
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return true;
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}
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// Check the feasibility of the given potentials (dual soluiton)
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// using the "Complementary Slackness" optimality condition
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template < typename GR, typename LM, typename UM,
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typename CM, typename SM, typename FM, typename PM >
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bool checkPotential( const GR& gr, const LM& lower, const UM& upper,
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const CM& cost, const SM& supply, const FM& flow,
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const PM& pi, SupplyType type )
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{
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TEMPLATE_DIGRAPH_TYPEDEFS(GR);
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bool opt = true;
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for (ArcIt e(gr); opt && e != INVALID; ++e) {
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typename CM::Value red_cost =
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cost[e] + pi[gr.source(e)] - pi[gr.target(e)];
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opt = red_cost == 0 ||
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(red_cost > 0 && flow[e] == lower[e]) ||
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(red_cost < 0 && flow[e] == upper[e]);
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}
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for (NodeIt n(gr); opt && n != INVALID; ++n) {
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typename SM::Value sum = 0;
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for (OutArcIt e(gr, n); e != INVALID; ++e)
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sum += flow[e];
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for (InArcIt e(gr, n); e != INVALID; ++e)
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sum -= flow[e];
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if (type != LEQ) {
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opt = (pi[n] <= 0) && (sum == supply[n] || pi[n] == 0);
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} else {
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opt = (pi[n] >= 0) && (sum == supply[n] || pi[n] == 0);
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}
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}
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return opt;
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}
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// Check whether the dual cost is equal to the primal cost
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template < typename GR, typename LM, typename UM,
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typename CM, typename SM, typename PM >
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bool checkDualCost( const GR& gr, const LM& lower, const UM& upper,
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const CM& cost, const SM& supply, const PM& pi,
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typename CM::Value total )
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{
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TEMPLATE_DIGRAPH_TYPEDEFS(GR);
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typename CM::Value dual_cost = 0;
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SM red_supply(gr);
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for (NodeIt n(gr); n != INVALID; ++n) {
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red_supply[n] = supply[n];
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}
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for (ArcIt a(gr); a != INVALID; ++a) {
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if (lower[a] != 0) {
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dual_cost += lower[a] * cost[a];
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red_supply[gr.source(a)] -= lower[a];
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red_supply[gr.target(a)] += lower[a];
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}
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}
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for (NodeIt n(gr); n != INVALID; ++n) {
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dual_cost -= red_supply[n] * pi[n];
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}
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for (ArcIt a(gr); a != INVALID; ++a) {
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typename CM::Value red_cost =
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cost[a] + pi[gr.source(a)] - pi[gr.target(a)];
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dual_cost -= (upper[a] - lower[a]) * std::max(-red_cost, 0);
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}
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return dual_cost == total;
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}
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// Run a minimum cost flow algorithm and check the results
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template < typename MCF, typename GR,
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typename LM, typename UM,
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typename CM, typename SM,
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typename PT >
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void checkMcf( const MCF& mcf, PT mcf_result,
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const GR& gr, const LM& lower, const UM& upper,
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const CM& cost, const SM& supply,
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PT result, bool optimal, typename CM::Value total,
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const std::string &test_id = "",
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SupplyType type = EQ )
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{
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check(mcf_result == result, "Wrong result " + test_id);
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if (optimal) {
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typename GR::template ArcMap<typename SM::Value> flow(gr);
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typename GR::template NodeMap<typename CM::Value> pi(gr);
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mcf.flowMap(flow);
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mcf.potentialMap(pi);
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check(checkFlow(gr, lower, upper, supply, flow, type),
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"The flow is not feasible " + test_id);
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check(mcf.totalCost() == total, "The flow is not optimal " + test_id);
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check(checkPotential(gr, lower, upper, cost, supply, flow, pi, type),
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"Wrong potentials " + test_id);
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check(checkDualCost(gr, lower, upper, cost, supply, pi, total),
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"Wrong dual cost " + test_id);
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}
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}
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template < typename MCF, typename Param >
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void runMcfGeqTests( Param param,
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const std::string &test_str = "",
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bool full_neg_cost_support = false )
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{
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MCF mcf1(gr), mcf2(neg1_gr), mcf3(neg2_gr);
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// Basic tests
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mcf1.upperMap(u).costMap(c).supplyMap(s1);
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checkMcf(mcf1, mcf1.run(param), gr, l1, u, c, s1,
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mcf1.OPTIMAL, true, 5240, test_str + "-1");
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mcf1.stSupply(v, w, 27);
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checkMcf(mcf1, mcf1.run(param), gr, l1, u, c, s2,
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mcf1.OPTIMAL, true, 7620, test_str + "-2");
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mcf1.lowerMap(l2).supplyMap(s1);
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checkMcf(mcf1, mcf1.run(param), gr, l2, u, c, s1,
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mcf1.OPTIMAL, true, 5970, test_str + "-3");
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mcf1.stSupply(v, w, 27);
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checkMcf(mcf1, mcf1.run(param), gr, l2, u, c, s2,
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mcf1.OPTIMAL, true, 8010, test_str + "-4");
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mcf1.resetParams().supplyMap(s1);
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checkMcf(mcf1, mcf1.run(param), gr, l1, cu, cc, s1,
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mcf1.OPTIMAL, true, 74, test_str + "-5");
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mcf1.lowerMap(l2).stSupply(v, w, 27);
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checkMcf(mcf1, mcf1.run(param), gr, l2, cu, cc, s2,
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mcf1.OPTIMAL, true, 94, test_str + "-6");
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mcf1.reset();
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checkMcf(mcf1, mcf1.run(param), gr, l1, cu, cc, s3,
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mcf1.OPTIMAL, true, 0, test_str + "-7");
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mcf1.lowerMap(l2).upperMap(u);
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checkMcf(mcf1, mcf1.run(param), gr, l2, u, cc, s3,
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mcf1.INFEASIBLE, false, 0, test_str + "-8");
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mcf1.lowerMap(l3).upperMap(u).costMap(c).supplyMap(s4);
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checkMcf(mcf1, mcf1.run(param), gr, l3, u, c, s4,
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mcf1.OPTIMAL, true, 6360, test_str + "-9");
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// Tests for the GEQ form
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mcf1.resetParams().upperMap(u).costMap(c).supplyMap(s5);
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checkMcf(mcf1, mcf1.run(param), gr, l1, u, c, s5,
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mcf1.OPTIMAL, true, 3530, test_str + "-10", GEQ);
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mcf1.lowerMap(l2);
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checkMcf(mcf1, mcf1.run(param), gr, l2, u, c, s5,
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mcf1.OPTIMAL, true, 4540, test_str + "-11", GEQ);
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mcf1.supplyMap(s6);
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checkMcf(mcf1, mcf1.run(param), gr, l2, u, c, s6,
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mcf1.INFEASIBLE, false, 0, test_str + "-12", GEQ);
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// Tests with negative costs
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mcf2.lowerMap(neg1_l1).costMap(neg1_c).supplyMap(neg1_s);
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checkMcf(mcf2, mcf2.run(param), neg1_gr, neg1_l1, neg1_u1, neg1_c, neg1_s,
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mcf2.UNBOUNDED, false, 0, test_str + "-13");
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mcf2.upperMap(neg1_u2);
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checkMcf(mcf2, mcf2.run(param), neg1_gr, neg1_l1, neg1_u2, neg1_c, neg1_s,
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mcf2.OPTIMAL, true, -40000, test_str + "-14");
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mcf2.resetParams().lowerMap(neg1_l2).costMap(neg1_c).supplyMap(neg1_s);
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checkMcf(mcf2, mcf2.run(param), neg1_gr, neg1_l2, neg1_u1, neg1_c, neg1_s,
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mcf2.UNBOUNDED, false, 0, test_str + "-15");
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mcf3.costMap(neg2_c).supplyMap(neg2_s);
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if (full_neg_cost_support) {
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checkMcf(mcf3, mcf3.run(param), neg2_gr, neg2_l, neg2_u, neg2_c, neg2_s,
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mcf3.OPTIMAL, true, -300, test_str + "-16", GEQ);
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} else {
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checkMcf(mcf3, mcf3.run(param), neg2_gr, neg2_l, neg2_u, neg2_c, neg2_s,
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mcf3.UNBOUNDED, false, 0, test_str + "-17", GEQ);
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}
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mcf3.upperMap(neg2_u);
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checkMcf(mcf3, mcf3.run(param), neg2_gr, neg2_l, neg2_u, neg2_c, neg2_s,
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mcf3.OPTIMAL, true, -300, test_str + "-18", GEQ);
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// Tests for empty graph
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Digraph gr0;
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MCF mcf0(gr0);
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mcf0.run(param);
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check(mcf0.totalCost() == 0, "Wrong total cost");
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}
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template < typename MCF, typename Param >
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void runMcfLeqTests( Param param,
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const std::string &test_str = "" )
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{
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// Tests for the LEQ form
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MCF mcf1(gr);
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mcf1.supplyType(mcf1.LEQ);
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mcf1.upperMap(u).costMap(c).supplyMap(s6);
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checkMcf(mcf1, mcf1.run(param), gr, l1, u, c, s6,
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mcf1.OPTIMAL, true, 5080, test_str + "-19", LEQ);
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mcf1.lowerMap(l2);
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checkMcf(mcf1, mcf1.run(param), gr, l2, u, c, s6,
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mcf1.OPTIMAL, true, 5930, test_str + "-20", LEQ);
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mcf1.supplyMap(s5);
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checkMcf(mcf1, mcf1.run(param), gr, l2, u, c, s5,
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mcf1.INFEASIBLE, false, 0, test_str + "-21", LEQ);
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}
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int main()
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{
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// Read the test networks
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std::istringstream input(test_lgf);
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DigraphReader<Digraph>(gr, input)
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.arcMap("cost", c)
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.arcMap("cap", u)
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.arcMap("low1", l1)
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.arcMap("low2", l2)
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.arcMap("low3", l3)
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.nodeMap("sup1", s1)
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.nodeMap("sup2", s2)
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.nodeMap("sup3", s3)
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.nodeMap("sup4", s4)
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.nodeMap("sup5", s5)
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.nodeMap("sup6", s6)
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.node("source", v)
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.node("target", w)
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.run();
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std::istringstream neg_inp1(test_neg1_lgf);
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|
DigraphReader<Digraph>(neg1_gr, neg_inp1)
|
|
.arcMap("cost", neg1_c)
|
|
.arcMap("low1", neg1_l1)
|
|
.arcMap("low2", neg1_l2)
|
|
.nodeMap("sup", neg1_s)
|
|
.run();
|
|
|
|
std::istringstream neg_inp2(test_neg2_lgf);
|
|
DigraphReader<Digraph>(neg2_gr, neg_inp2)
|
|
.arcMap("cost", neg2_c)
|
|
.nodeMap("sup", neg2_s)
|
|
.run();
|
|
|
|
// Check the interface of NetworkSimplex
|
|
{
|
|
typedef concepts::Digraph GR;
|
|
checkConcept< McfClassConcept<GR, int, int>,
|
|
NetworkSimplex<GR> >();
|
|
checkConcept< McfClassConcept<GR, double, double>,
|
|
NetworkSimplex<GR, double> >();
|
|
checkConcept< McfClassConcept<GR, int, double>,
|
|
NetworkSimplex<GR, int, double> >();
|
|
}
|
|
|
|
// Check the interface of CapacityScaling
|
|
{
|
|
typedef concepts::Digraph GR;
|
|
checkConcept< McfClassConcept<GR, int, int>,
|
|
CapacityScaling<GR> >();
|
|
checkConcept< McfClassConcept<GR, double, double>,
|
|
CapacityScaling<GR, double> >();
|
|
checkConcept< McfClassConcept<GR, int, double>,
|
|
CapacityScaling<GR, int, double> >();
|
|
typedef CapacityScaling<GR>::
|
|
SetHeap<concepts::Heap<int, RangeMap<int> > >::Create CAS;
|
|
checkConcept< McfClassConcept<GR, int, int>, CAS >();
|
|
}
|
|
|
|
// Check the interface of CostScaling
|
|
{
|
|
typedef concepts::Digraph GR;
|
|
checkConcept< McfClassConcept<GR, int, int>,
|
|
CostScaling<GR> >();
|
|
checkConcept< McfClassConcept<GR, double, double>,
|
|
CostScaling<GR, double> >();
|
|
checkConcept< McfClassConcept<GR, int, double>,
|
|
CostScaling<GR, int, double> >();
|
|
typedef CostScaling<GR>::
|
|
SetLargeCost<double>::Create COS;
|
|
checkConcept< McfClassConcept<GR, int, int>, COS >();
|
|
}
|
|
|
|
// Check the interface of CycleCanceling
|
|
{
|
|
typedef concepts::Digraph GR;
|
|
checkConcept< McfClassConcept<GR, int, int>,
|
|
CycleCanceling<GR> >();
|
|
checkConcept< McfClassConcept<GR, double, double>,
|
|
CycleCanceling<GR, double> >();
|
|
checkConcept< McfClassConcept<GR, int, double>,
|
|
CycleCanceling<GR, int, double> >();
|
|
}
|
|
|
|
// Test NetworkSimplex
|
|
{
|
|
typedef NetworkSimplex<Digraph> MCF;
|
|
runMcfGeqTests<MCF>(MCF::FIRST_ELIGIBLE, "NS-FE", true);
|
|
runMcfLeqTests<MCF>(MCF::FIRST_ELIGIBLE, "NS-FE");
|
|
runMcfGeqTests<MCF>(MCF::BEST_ELIGIBLE, "NS-BE", true);
|
|
runMcfLeqTests<MCF>(MCF::BEST_ELIGIBLE, "NS-BE");
|
|
runMcfGeqTests<MCF>(MCF::BLOCK_SEARCH, "NS-BS", true);
|
|
runMcfLeqTests<MCF>(MCF::BLOCK_SEARCH, "NS-BS");
|
|
runMcfGeqTests<MCF>(MCF::CANDIDATE_LIST, "NS-CL", true);
|
|
runMcfLeqTests<MCF>(MCF::CANDIDATE_LIST, "NS-CL");
|
|
runMcfGeqTests<MCF>(MCF::ALTERING_LIST, "NS-AL", true);
|
|
runMcfLeqTests<MCF>(MCF::ALTERING_LIST, "NS-AL");
|
|
}
|
|
|
|
// Test CapacityScaling
|
|
{
|
|
typedef CapacityScaling<Digraph> MCF;
|
|
runMcfGeqTests<MCF>(0, "SSP");
|
|
runMcfGeqTests<MCF>(2, "CAS");
|
|
}
|
|
|
|
// Test CostScaling
|
|
{
|
|
typedef CostScaling<Digraph> MCF;
|
|
runMcfGeqTests<MCF>(MCF::PUSH, "COS-PR");
|
|
runMcfGeqTests<MCF>(MCF::AUGMENT, "COS-AR");
|
|
runMcfGeqTests<MCF>(MCF::PARTIAL_AUGMENT, "COS-PAR");
|
|
}
|
|
|
|
// Test CycleCanceling
|
|
{
|
|
typedef CycleCanceling<Digraph> MCF;
|
|
runMcfGeqTests<MCF>(MCF::SIMPLE_CYCLE_CANCELING, "SCC");
|
|
runMcfGeqTests<MCF>(MCF::MINIMUM_MEAN_CYCLE_CANCELING, "MMCC");
|
|
runMcfGeqTests<MCF>(MCF::CANCEL_AND_TIGHTEN, "CAT");
|
|
}
|
|
|
|
return 0;
|
|
}
|