write_floyd.C

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/*
                          Aleph_w
 
  Data structures & Algorithms
  version 2.0.0b
  https://github.com/lrleon/Aleph-w
 
  This file is part of Aleph-w library
 
  Copyright (c) 2002-2026 Leandro Rabindranath Leon
 
  Permission is hereby granted, free of charge, to any person obtaining a copy
  of this software and associated documentation files (the "Software"), to deal
  in the Software without restriction, including without limitation the rights
  to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
  copies of the Software, and to permit persons to whom the Software is
  furnished to do so, subject to the following conditions:
 
  The above copyright notice and this permission notice shall be included in all
  copies or substantial portions of the Software.
 
  THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
  IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
  FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
  AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
  LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
  OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
  SOFTWARE.
*/
 
 
# include <limits>
# include <iostream>
# include <tpl_matgraph.H>
# include <mat_latex.H>
# include <tpl_graph_utils.H>
# include <latex_floyd.H>
 
using namespace std;
 
using namespace Aleph;
 
# define INDENT "    "
 
    template <typename M>
struct C_i
{
  string operator () (M & m, const long & i) const
  {
    return m(i)->get_info().nombre;
  }
};
 
 
    template <typename M>
struct C_ij
{
  string operator () (M & m, const long & i, const long & j)
  {
    return m(m(i, j))->get_info().nombre;
  }
};
 
 
    template <typename M>
struct Di_ij
{
  string operator () (M & mat, const long & i, const long & j)
  {
    typename M::Arc_Type::Distance_Type value = mat(i, j);
 
    if (value == numeric_limits<double>::infinity())
      return string("{$\\infty$}");
 
    if (value == 0)
      return string("{$0$}");
 
    char buf[256]; 
 
    snprintf(buf, 256, "{$%d$}", (int) value);
 
    return string(buf);
  }
};
 
struct Nodo
{
  string nombre;
 
  Nodo() {}
 
  Nodo(const string & str) : nombre(str) { /* empty */ }
 
  Nodo(const char * str) : nombre(str) { /* empty */ }
 
  bool operator == (const Nodo & der) const 
  {
    return nombre == der.nombre; 
  }
};
 
 
struct Arco
{
  typedef double Distance_Type;
 
  static const double Max_Distance;
 
  static const double Zero_Distance;
 
  double distancia;
 
  Arco() : distancia(Max_Distance) { /* empty */ }
 
  Arco(const double & dist) : distancia(dist) 
  {
    /* empty */ 
  }
 
  const double & get_distance() const { return distancia; }
 
  operator double & () { return distancia; }
}; 
 
const Arco Arco_Zero(0);
 
const double Arco::Max_Distance = numeric_limits<double>::infinity();
 
const double Arco::Zero_Distance = 0;
 
 
typedef Graph_Node<Nodo> Node_Nodo;
 
typedef Graph_Arc<Arco> Arco_Arco;
 
typedef List_Digraph<Node_Nodo, Arco_Arco> Grafo;
 
 
void insertar_arco(Grafo &       grafo, 
      const string & src_name, 
      const string & tgt_name,
      const double & distancia)
{
  Grafo::Node * n1 = grafo.find_node(Nodo(src_name));
 
  if (n1 == nullptr)
    n1 = grafo.insert_node(src_name);
 
  Grafo::Node * n2 = grafo.find_node(Nodo(tgt_name));
 
  if (n2 == nullptr)
    n2 = grafo.insert_node(tgt_name);
 
  grafo.insert_arc(n1, n2, Arco(distancia));
}
 
 
 
void build_test_graph(Grafo & g)
{
  g.insert_node("A");
  g.insert_node("B");
  g.insert_node("C");
  g.insert_node("D");
  g.insert_node("E");
  g.insert_node("F");
  g.insert_node("G");
  g.insert_node("H");
  g.insert_node("I");
 
  insertar_arco(g, "A", "B", 2);
  insertar_arco(g, "A", "F", 5);
  insertar_arco(g, "B", "F", 1);
  insertar_arco(g, "B", "D", 3);
  insertar_arco(g, "C", "A", 1);  
  insertar_arco(g, "C", "E", 4);  
  insertar_arco(g, "F", "D", -2);
  insertar_arco(g, "F", "C", -1);
  insertar_arco(g, "F", "E", 2);
  insertar_arco(g, "D", "F", 2);
  insertar_arco(g, "D", "H", 4);
  insertar_arco(g, "E", "G", 2);
  insertar_arco(g, "E", "I", -2);
  insertar_arco(g, "G", "D", 3);
  insertar_arco(g, "G", "F", -1);
  insertar_arco(g, "G", "H", 2);
  insertar_arco(g, "H", "D", -2);
  insertar_arco(g, "H", "G", -1);
  insertar_arco(g, "I", "G", 4);
  insertar_arco(g, "I", "H", 3);
 
}
 
void copia_Arco_Arco(Arco_Arco * arc, const long&, const long&, double& value)
{
  value = arc->get_info().get_distance();
}
 
 
int main() 
{
  Grafo list_graph;
 
  build_test_graph(list_graph);
 
  Ady_Mat<Grafo, double> cost_mat(list_graph);
 
  Ady_Mat<Grafo, long> path_mat(list_graph);
 
  ofstream out("mat-floyd.tex", ios::trunc); 
 
  floyd_all_shortest_paths_latex <Grafo, C_i, C_ij, Di_ij> 
    (list_graph, cost_mat, path_mat, out);
}