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#include <iostream>
#include <string>
#include <fstream>
#include <cstdlib>
#include <algorithm>
#include <vector>
#include <cassert>
#include <ctime>
#include <cmath>
using namespace std;
long int **read_matrix(ifstream &input, long int n);
double ran01(long int *idum);
long int *generate_random_vector(long int n);
unsigned long int compute_evaluation_function(long int n);
void first_2_opt_symmetric (long int n);
void swap(long int pos_1, long int pos_2, long int *);
void perturbation(long int pert_size);
long int *p;
long int **d;
long int **f;
long int n;
long int actual_solution_value;
long int new_eval;
long int current_eval;
#define IA 16807
#define IM 2147483647
#define AM (1.0/IM)
#define IQ 127773
#define IR 2836
int main()
{
string name;
long int optimum;
ifstream infile;
long int initial_eval;
long int *ILS_best_p;
long int new_vs_current;
new_vs_current = INT_MAX;
long int current_best_eval;
current_best_eval = INT_MAX;
long int new_current_eval;
long int best_eval;
long int *best_p;
long int improvement;
long int i;
long int j;
infile.open("nug12.dat");
infile >> name;
cout << "Name: " << name << "\n";
infile >> n;
cout << "Rows and Columns: " << n << "\n";
infile >> optimum;
cout << "Optimum solution: " << optimum <<"\n";
d=read_matrix(infile, n);
f=read_matrix(infile, n);
cout << endl;
p=generate_random_vector(n);
compute_evaluation_function(n);
cout << endl;
first_2_opt_symmetric (n);
cout << endl;
initial_eval = compute_evaluation_function(n);
cout << endl << endl;
for (i = 0; i < 500; i++) //ILS loop
{
if (new_eval < current_eval)
{
new_vs_current = new_eval;
cout << "iteration 1st = " << i+1 << " " << endl;
}
else if (current_eval < new_eval)
{
new_vs_current = current_eval;
cout << "iteration 2nd = " << i+1 << " " << endl;
}
cout << "iteration = " << i+1 << " " << endl;
cout << " Vector before perturbation = ";
for (j = 0; j < n; j++)
{
cout << p[j] << " ";
}
cout << endl;
cout << endl << "current best eval = " << current_best_eval << endl;
perturbation(3);
cout << endl;
cout << endl << "current best eval = " << current_best_eval << endl;
cout << " Vector after perturbation = ";
for (j = 0; j < n; j++)
{
cout << p[j] << " ";
}
cout << endl;
cout << endl << "current best eval = " << current_best_eval << endl;
first_2_opt_symmetric (n);
new_current_eval = compute_evaluation_function(n);
cout << endl << "current best eval = " << current_best_eval << endl;
cout << endl;
cout << " Vector after local search = ";
for (j = 0; j < n; j++)
{
cout << p[j] << " ";
}
cout << endl;
cout << endl << "current best eval = " << current_best_eval << endl;
if (new_current_eval < current_best_eval)
{
new_eval = new_current_eval;
cout << "iteration 3rd = " << i+1 << " " << endl;
}
else if (current_best_eval < new_current_eval)
{
new_eval = current_best_eval;
cout << "iteration 4th = " << i+1 << " " << endl;
}
if (new_eval < new_vs_current)
{
current_best_eval = new_eval;
cout << "iteration 5th = " << i+1 << " " << endl;
ILS_best_p = p;
}
else if (new_vs_current < new_eval)
{
current_best_eval = new_vs_current;
cout << "iteration 6th = " << i+1 << " " << endl;
ILS_best_p = p;
}
cout << endl << "current best eval = " << current_best_eval << endl;
}
cout << endl << "current best eval = " << current_best_eval << endl;
cout << "ILS best vector = ";
for (i = 0; i < n; i++)
{
cout << ILS_best_p[i] << " ";
}
return 0;
}
long int **read_matrix(ifstream &input, long int n)
{
/*
FUNCTION: read instance matrices
INPUT: instance file name, instance size
OUTPUT: d-matrix and f-matrix
(SIDE)EFFECTS: none
COMMENTS: read the distance matrix and flow matrix
*/
long int i, j;
long int **matrix = new long int *[n];
for (i = 0; i < n; i++)
{
matrix[i] = new long int[n];
for (j = 0; j < n; j++)
{
if( !(input >> matrix[i][j]) )
{
cerr << "Error reading at " << i << j << endl;
exit(1);
}
}
}
return matrix;
}
double ran01(long int *idum)
{
/*
FUNCTION: returns a pseudo-random number
INPUT: a pointer to the seed variable
OUTPUT: a pseudo-random number uniformly distributed in [0,1]
(SIDE)EFFECTS: changes the value of seed
*/
long k;
double ans;
k =(*idum)/IQ;
*idum = IA * (*idum - k * IQ) - IR * k;
if (*idum < 0 )
{
*idum += IM;
}
ans = AM * (*idum);
return ans;
}
long int *generate_random_vector(long int n)
{
/*
FUNCTION: generates a random vector
INPUT: vector dimension
OUTPUT: returns pointer to vector, free memory when vector is not needed anymore
(SIDE)EFFECTS: none
*/
long int i, j, help;
long int *v;
srand(time(0));
long int seed=rand();
v = new long int[ n ];
for ( i = 0 ; i < n; i++ )
{
v[i] = i;
}
for ( i = 0 ; i < n-1 ; i++)
{
j = (long int) ( ran01( &seed ) * (n - i));
assert( i + j < n );
help = v[i];
v[i] = v[i+j];
v[i+j] = help;
}
return v;
}
unsigned long int compute_evaluation_function(long int n)
{
/*
FUNCTION: compute evaluation function
INPUT: pointer to solution
OUTPUT: evaluation function
(SIDE)EFFECTS: none
COMMENTS: none
*/
long int i, j;
unsigned long obj_f_value;
obj_f_value = 0;
for(i = 0; i < n; i++)
{
for(j = 0; j < n; j++)
{
obj_f_value += d[i][j] * f[p[i]][p[j]];
}
}
cout << obj_f_value;
return obj_f_value;
}
void first_2_opt_symmetric (long int n)
{
/*
FUNCTION: first improvement 2-opt local search for symmetric instances
INPUT: pointer to some initial assignment
OUTPUT: none
(SIDE)EFFECTS: initial assignment is locally optimized, dlb is used to increase the search speed, the dlb value is changed to false if item change it's location during perturbation
COMMENT: neighborhood is scanned in random order, use of register for faster computation
*/
long int improvement = 1;
long int improve_item = 0;
long int u, v, i, j, k;
long int tmp;
long int *x;
improvement = 1;
x = generate_random_vector(n);
while (improvement)
{
improvement = 0;
for ( i = 0 ; i < n ; i++ )
{
u = x[i];
improve_item = 0;
for ( j = 0 ; j < n ; j++ )
{
v = x[j];
if (u == v)
continue;
tmp = 0;
for ( k = 0 ; k < n ; k++ )
{
if ( (k != u) && (k != v) )
{
tmp += (d[u][k] - d[v][k]) * (f[p[v]][p[k]] - f[p[u]][p[k]]);
}
}
if (tmp < 0)
{
improvement = 1;
improve_item = 1;
swap (u, v, p);
}
}
}
}
delete []x;
}
void swap(long int pos_1, long int pos_2, long int *p)
{
/*
FUNCTION: swap position of two items in a vector
INPUT: position 1, position 2, pointer to vector
OUTPUT: none
(SIDE)EFFECTS: none
COMMENTS: none
*/
long int tmp;
tmp = p[pos_1];
p[pos_1] = p[pos_2];
p[pos_2] = tmp;
}
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