/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Copyright (C) 2003-2009

 * 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();

  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;

}