/* -*- 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 <lemon/concepts/graph.h>
#include <lemon/list_graph.h>
#include <lemon/smart_graph.h>
#include <lemon/full_graph.h>
#include <lemon/grid_graph.h>
#include <lemon/hypercube_graph.h>

#include "test_tools.h"
#include "graph_test.h"

using namespace lemon;
using namespace lemon::concepts;

template <class Graph>
void checkGraphBuild() {
  TEMPLATE_GRAPH_TYPEDEFS(Graph);

  Graph G;
  checkGraphNodeList(G, 0);
  checkGraphEdgeList(G, 0);
  checkGraphArcList(G, 0);

  G.reserveNode(3);
  G.reserveEdge(3);

  Node
    n1 = G.addNode(),
    n2 = G.addNode(),
    n3 = G.addNode();
  checkGraphNodeList(G, 3);
  checkGraphEdgeList(G, 0);
  checkGraphArcList(G, 0);

  Edge e1 = G.addEdge(n1, n2);
  check((G.u(e1) == n1 && G.v(e1) == n2) || (G.u(e1) == n2 && G.v(e1) == n1),
        "Wrong edge");

  checkGraphNodeList(G, 3);
  checkGraphEdgeList(G, 1);
  checkGraphArcList(G, 2);

  checkGraphIncEdgeArcLists(G, n1, 1);
  checkGraphIncEdgeArcLists(G, n2, 1);
  checkGraphIncEdgeArcLists(G, n3, 0);

  checkGraphConEdgeList(G, 1);
  checkGraphConArcList(G, 2);

  Edge e2 = G.addEdge(n2, n1),
       e3 = G.addEdge(n2, n3);

  checkGraphNodeList(G, 3);
  checkGraphEdgeList(G, 3);
  checkGraphArcList(G, 6);

  checkGraphIncEdgeArcLists(G, n1, 2);
  checkGraphIncEdgeArcLists(G, n2, 3);
  checkGraphIncEdgeArcLists(G, n3, 1);

  checkGraphConEdgeList(G, 3);
  checkGraphConArcList(G, 6);

  checkArcDirections(G);

  checkNodeIds(G);
  checkArcIds(G);
  checkEdgeIds(G);
  checkGraphNodeMap(G);
  checkGraphArcMap(G);
  checkGraphEdgeMap(G);
}

template <class Graph>
void checkGraphAlter() {
  TEMPLATE_GRAPH_TYPEDEFS(Graph);

  Graph G;
  Node n1 = G.addNode(), n2 = G.addNode(),
       n3 = G.addNode(), n4 = G.addNode();
  Edge e1 = G.addEdge(n1, n2), e2 = G.addEdge(n2, n1),
       e3 = G.addEdge(n2, n3), e4 = G.addEdge(n1, n4),
       e5 = G.addEdge(n4, n3);

  checkGraphNodeList(G, 4);
  checkGraphEdgeList(G, 5);
  checkGraphArcList(G, 10);

  // Check changeU() and changeV()
  if (G.u(e2) == n2) {
    G.changeU(e2, n3);
  } else {
    G.changeV(e2, n3);
  }

  checkGraphNodeList(G, 4);
  checkGraphEdgeList(G, 5);
  checkGraphArcList(G, 10);

  checkGraphIncEdgeArcLists(G, n1, 3);
  checkGraphIncEdgeArcLists(G, n2, 2);
  checkGraphIncEdgeArcLists(G, n3, 3);
  checkGraphIncEdgeArcLists(G, n4, 2);

  checkGraphConEdgeList(G, 5);
  checkGraphConArcList(G, 10);

  if (G.u(e2) == n1) {
    G.changeU(e2, n2);
  } else {
    G.changeV(e2, n2);
  }

  checkGraphNodeList(G, 4);
  checkGraphEdgeList(G, 5);
  checkGraphArcList(G, 10);

  checkGraphIncEdgeArcLists(G, n1, 2);
  checkGraphIncEdgeArcLists(G, n2, 3);
  checkGraphIncEdgeArcLists(G, n3, 3);
  checkGraphIncEdgeArcLists(G, n4, 2);

  checkGraphConEdgeList(G, 5);
  checkGraphConArcList(G, 10);

  // Check contract()
  G.contract(n1, n4, false);

  checkGraphNodeList(G, 3);
  checkGraphEdgeList(G, 5);
  checkGraphArcList(G, 10);

  checkGraphIncEdgeArcLists(G, n1, 4);
  checkGraphIncEdgeArcLists(G, n2, 3);
  checkGraphIncEdgeArcLists(G, n3, 3);

  checkGraphConEdgeList(G, 5);
  checkGraphConArcList(G, 10);

  G.contract(n2, n3);

  checkGraphNodeList(G, 2);
  checkGraphEdgeList(G, 3);
  checkGraphArcList(G, 6);

  checkGraphIncEdgeArcLists(G, n1, 4);
  checkGraphIncEdgeArcLists(G, n2, 2);

  checkGraphConEdgeList(G, 3);
  checkGraphConArcList(G, 6);
}

template <class Graph>
void checkGraphErase() {
  TEMPLATE_GRAPH_TYPEDEFS(Graph);

  Graph G;
  Node n1 = G.addNode(), n2 = G.addNode(),
       n3 = G.addNode(), n4 = G.addNode();
  Edge e1 = G.addEdge(n1, n2), e2 = G.addEdge(n2, n1),
       e3 = G.addEdge(n2, n3), e4 = G.addEdge(n1, n4),
       e5 = G.addEdge(n4, n3);

  // Check edge deletion
  G.erase(e2);

  checkGraphNodeList(G, 4);
  checkGraphEdgeList(G, 4);
  checkGraphArcList(G, 8);

  checkGraphIncEdgeArcLists(G, n1, 2);
  checkGraphIncEdgeArcLists(G, n2, 2);
  checkGraphIncEdgeArcLists(G, n3, 2);
  checkGraphIncEdgeArcLists(G, n4, 2);

  checkGraphConEdgeList(G, 4);
  checkGraphConArcList(G, 8);

  // Check node deletion
  G.erase(n3);

  checkGraphNodeList(G, 3);
  checkGraphEdgeList(G, 2);
  checkGraphArcList(G, 4);

  checkGraphIncEdgeArcLists(G, n1, 2);
  checkGraphIncEdgeArcLists(G, n2, 1);
  checkGraphIncEdgeArcLists(G, n4, 1);

  checkGraphConEdgeList(G, 2);
  checkGraphConArcList(G, 4);
}


template <class Graph>
void checkGraphSnapshot() {
  TEMPLATE_GRAPH_TYPEDEFS(Graph);

  Graph G;
  Node n1 = G.addNode(), n2 = G.addNode(), n3 = G.addNode();
  Edge e1 = G.addEdge(n1, n2), e2 = G.addEdge(n2, n1),
       e3 = G.addEdge(n2, n3);

  checkGraphNodeList(G, 3);
  checkGraphEdgeList(G, 3);
  checkGraphArcList(G, 6);

  typename Graph::Snapshot snapshot(G);

  Node n = G.addNode();
  G.addEdge(n3, n);
  G.addEdge(n, n3);
  G.addEdge(n3, n2);

  checkGraphNodeList(G, 4);
  checkGraphEdgeList(G, 6);
  checkGraphArcList(G, 12);

  snapshot.restore();

  checkGraphNodeList(G, 3);
  checkGraphEdgeList(G, 3);
  checkGraphArcList(G, 6);

  checkGraphIncEdgeArcLists(G, n1, 2);
  checkGraphIncEdgeArcLists(G, n2, 3);
  checkGraphIncEdgeArcLists(G, n3, 1);

  checkGraphConEdgeList(G, 3);
  checkGraphConArcList(G, 6);

  checkNodeIds(G);
  checkEdgeIds(G);
  checkArcIds(G);
  checkGraphNodeMap(G);
  checkGraphEdgeMap(G);
  checkGraphArcMap(G);

  G.addNode();
  snapshot.save(G);

  G.addEdge(G.addNode(), G.addNode());

  snapshot.restore();
  snapshot.save(G);

  checkGraphNodeList(G, 4);
  checkGraphEdgeList(G, 3);
  checkGraphArcList(G, 6);

  G.addEdge(G.addNode(), G.addNode());

  snapshot.restore();

  checkGraphNodeList(G, 4);
  checkGraphEdgeList(G, 3);
  checkGraphArcList(G, 6);
}

void checkFullGraph(int num) {
  typedef FullGraph Graph;
  GRAPH_TYPEDEFS(Graph);

  Graph G(num);
  check(G.nodeNum() == num && G.edgeNum() == num * (num - 1) / 2,
        "Wrong size");

  G.resize(num);
  check(G.nodeNum() == num && G.edgeNum() == num * (num - 1) / 2,
        "Wrong size");

  checkGraphNodeList(G, num);
  checkGraphEdgeList(G, num * (num - 1) / 2);

  for (NodeIt n(G); n != INVALID; ++n) {
    checkGraphOutArcList(G, n, num - 1);
    checkGraphInArcList(G, n, num - 1);
    checkGraphIncEdgeList(G, n, num - 1);
  }

  checkGraphConArcList(G, num * (num - 1));
  checkGraphConEdgeList(G, num * (num - 1) / 2);

  checkArcDirections(G);

  checkNodeIds(G);
  checkArcIds(G);
  checkEdgeIds(G);
  checkGraphNodeMap(G);
  checkGraphArcMap(G);
  checkGraphEdgeMap(G);


  for (int i = 0; i < G.nodeNum(); ++i) {
    check(G.index(G(i)) == i, "Wrong index");
  }

  for (NodeIt u(G); u != INVALID; ++u) {
    for (NodeIt v(G); v != INVALID; ++v) {
      Edge e = G.edge(u, v);
      Arc a = G.arc(u, v);
      if (u == v) {
        check(e == INVALID, "Wrong edge lookup");
        check(a == INVALID, "Wrong arc lookup");
      } else {
        check((G.u(e) == u && G.v(e) == v) ||
              (G.u(e) == v && G.v(e) == u), "Wrong edge lookup");
        check(G.source(a) == u && G.target(a) == v, "Wrong arc lookup");
      }
    }
  }
}

void checkConcepts() {
  { // Checking graph components
    checkConcept<BaseGraphComponent, BaseGraphComponent >();

    checkConcept<IDableGraphComponent<>,
      IDableGraphComponent<> >();

    checkConcept<IterableGraphComponent<>,
      IterableGraphComponent<> >();

    checkConcept<MappableGraphComponent<>,
      MappableGraphComponent<> >();
  }
  { // Checking skeleton graph
    checkConcept<Graph, Graph>();
  }
  { // Checking ListGraph
    checkConcept<Graph, ListGraph>();
    checkConcept<AlterableGraphComponent<>, ListGraph>();
    checkConcept<ExtendableGraphComponent<>, ListGraph>();
    checkConcept<ClearableGraphComponent<>, ListGraph>();
    checkConcept<ErasableGraphComponent<>, ListGraph>();
  }
  { // Checking SmartGraph
    checkConcept<Graph, SmartGraph>();
    checkConcept<AlterableGraphComponent<>, SmartGraph>();
    checkConcept<ExtendableGraphComponent<>, SmartGraph>();
    checkConcept<ClearableGraphComponent<>, SmartGraph>();
  }
  { // Checking FullGraph
    checkConcept<Graph, FullGraph>();
  }
  { // Checking GridGraph
    checkConcept<Graph, GridGraph>();
  }
  { // Checking HypercubeGraph
    checkConcept<Graph, HypercubeGraph>();
  }
}

template <typename Graph>
void checkGraphValidity() {
  TEMPLATE_GRAPH_TYPEDEFS(Graph);
  Graph g;

  Node
    n1 = g.addNode(),
    n2 = g.addNode(),
    n3 = g.addNode();

  Edge
    e1 = g.addEdge(n1, n2),
    e2 = g.addEdge(n2, n3);

  check(g.valid(n1), "Wrong validity check");
  check(g.valid(e1), "Wrong validity check");
  check(g.valid(g.direct(e1, true)), "Wrong validity check");

  check(!g.valid(g.nodeFromId(-1)), "Wrong validity check");
  check(!g.valid(g.edgeFromId(-1)), "Wrong validity check");
  check(!g.valid(g.arcFromId(-1)), "Wrong validity check");
}

template <typename Graph>
void checkGraphValidityErase() {
  TEMPLATE_GRAPH_TYPEDEFS(Graph);
  Graph g;

  Node
    n1 = g.addNode(),
    n2 = g.addNode(),
    n3 = g.addNode();

  Edge
    e1 = g.addEdge(n1, n2),
    e2 = g.addEdge(n2, n3);

  check(g.valid(n1), "Wrong validity check");
  check(g.valid(e1), "Wrong validity check");
  check(g.valid(g.direct(e1, true)), "Wrong validity check");

  g.erase(n1);

  check(!g.valid(n1), "Wrong validity check");
  check(g.valid(n2), "Wrong validity check");
  check(g.valid(n3), "Wrong validity check");
  check(!g.valid(e1), "Wrong validity check");
  check(g.valid(e2), "Wrong validity check");

  check(!g.valid(g.nodeFromId(-1)), "Wrong validity check");
  check(!g.valid(g.edgeFromId(-1)), "Wrong validity check");
  check(!g.valid(g.arcFromId(-1)), "Wrong validity check");
}

void checkGridGraph(int width, int height) {
  typedef GridGraph Graph;
  GRAPH_TYPEDEFS(Graph);
  Graph G(width, height);

  check(G.width() == width, "Wrong column number");
  check(G.height() == height, "Wrong row number");

  G.resize(width, height);
  check(G.width() == width, "Wrong column number");
  check(G.height() == height, "Wrong row number");

  for (int i = 0; i < width; ++i) {
    for (int j = 0; j < height; ++j) {
      check(G.col(G(i, j)) == i, "Wrong column");
      check(G.row(G(i, j)) == j, "Wrong row");
      check(G.pos(G(i, j)).x == i, "Wrong column");
      check(G.pos(G(i, j)).y == j, "Wrong row");
    }
  }

  for (int j = 0; j < height; ++j) {
    for (int i = 0; i < width - 1; ++i) {
      check(G.source(G.right(G(i, j))) == G(i, j), "Wrong right");
      check(G.target(G.right(G(i, j))) == G(i + 1, j), "Wrong right");
    }
    check(G.right(G(width - 1, j)) == INVALID, "Wrong right");
  }

  for (int j = 0; j < height; ++j) {
    for (int i = 1; i < width; ++i) {
      check(G.source(G.left(G(i, j))) == G(i, j), "Wrong left");
      check(G.target(G.left(G(i, j))) == G(i - 1, j), "Wrong left");
    }
    check(G.left(G(0, j)) == INVALID, "Wrong left");
  }

  for (int i = 0; i < width; ++i) {
    for (int j = 0; j < height - 1; ++j) {
      check(G.source(G.up(G(i, j))) == G(i, j), "Wrong up");
      check(G.target(G.up(G(i, j))) == G(i, j + 1), "Wrong up");
    }
    check(G.up(G(i, height - 1)) == INVALID, "Wrong up");
  }

  for (int i = 0; i < width; ++i) {
    for (int j = 1; j < height; ++j) {
      check(G.source(G.down(G(i, j))) == G(i, j), "Wrong down");
      check(G.target(G.down(G(i, j))) == G(i, j - 1), "Wrong down");
    }
    check(G.down(G(i, 0)) == INVALID, "Wrong down");
  }

  checkGraphNodeList(G, width * height);
  checkGraphEdgeList(G, width * (height - 1) + (width - 1) * height);
  checkGraphArcList(G, 2 * (width * (height - 1) + (width - 1) * height));

  for (NodeIt n(G); n != INVALID; ++n) {
    int nb = 4;
    if (G.col(n) == 0) --nb;
    if (G.col(n) == width - 1) --nb;
    if (G.row(n) == 0) --nb;
    if (G.row(n) == height - 1) --nb;

    checkGraphOutArcList(G, n, nb);
    checkGraphInArcList(G, n, nb);
    checkGraphIncEdgeList(G, n, nb);
  }

  checkArcDirections(G);

  checkGraphConArcList(G, 2 * (width * (height - 1) + (width - 1) * height));
  checkGraphConEdgeList(G, width * (height - 1) + (width - 1) * height);

  checkNodeIds(G);
  checkArcIds(G);
  checkEdgeIds(G);
  checkGraphNodeMap(G);
  checkGraphArcMap(G);
  checkGraphEdgeMap(G);

}

void checkHypercubeGraph(int dim) {
  GRAPH_TYPEDEFS(HypercubeGraph);

  HypercubeGraph G(dim);
  check(G.dimension() == dim, "Wrong dimension");

  G.resize(dim);
  check(G.dimension() == dim, "Wrong dimension");

  checkGraphNodeList(G, 1 << dim);
  checkGraphEdgeList(G, dim * (1 << (dim-1)));
  checkGraphArcList(G, dim * (1 << dim));

  Node n = G.nodeFromId(dim);

  for (NodeIt n(G); n != INVALID; ++n) {
    checkGraphIncEdgeList(G, n, dim);
    for (IncEdgeIt e(G, n); e != INVALID; ++e) {
      check( (G.u(e) == n &&
              G.id(G.v(e)) == (G.id(n) ^ (1 << G.dimension(e)))) ||
             (G.v(e) == n &&
              G.id(G.u(e)) == (G.id(n) ^ (1 << G.dimension(e)))),
             "Wrong edge or wrong dimension");
    }

    checkGraphOutArcList(G, n, dim);
    for (OutArcIt a(G, n); a != INVALID; ++a) {
      check(G.source(a) == n &&
            G.id(G.target(a)) == (G.id(n) ^ (1 << G.dimension(a))),
            "Wrong arc or wrong dimension");
    }

    checkGraphInArcList(G, n, dim);
    for (InArcIt a(G, n); a != INVALID; ++a) {
      check(G.target(a) == n &&
            G.id(G.source(a)) == (G.id(n) ^ (1 << G.dimension(a))),
            "Wrong arc or wrong dimension");
    }
  }

  checkGraphConArcList(G, (1 << dim) * dim);
  checkGraphConEdgeList(G, dim * (1 << (dim-1)));

  checkArcDirections(G);

  checkNodeIds(G);
  checkArcIds(G);
  checkEdgeIds(G);
  checkGraphNodeMap(G);
  checkGraphArcMap(G);
  checkGraphEdgeMap(G);
}

void checkGraphs() {
  { // Checking ListGraph
    checkGraphBuild<ListGraph>();
    checkGraphAlter<ListGraph>();
    checkGraphErase<ListGraph>();
    checkGraphSnapshot<ListGraph>();
    checkGraphValidityErase<ListGraph>();
  }
  { // Checking SmartGraph
    checkGraphBuild<SmartGraph>();
    checkGraphSnapshot<SmartGraph>();
    checkGraphValidity<SmartGraph>();
  }
  { // Checking FullGraph
    checkFullGraph(7);
    checkFullGraph(8);
  }
  { // Checking GridGraph
    checkGridGraph(5, 8);
    checkGridGraph(8, 5);
    checkGridGraph(5, 5);
    checkGridGraph(0, 0);
    checkGridGraph(1, 1);
  }
  { // Checking HypercubeGraph
    checkHypercubeGraph(1);
    checkHypercubeGraph(2);
    checkHypercubeGraph(3);
    checkHypercubeGraph(4);
  }
}

int main() {
  checkConcepts();
  checkGraphs();
  return 0;
}