function MatrixFitRoute($route)
{
require_once 'matrix.php';
$this->refreshPosibleTruck();
$route_possible_trucks = $this->getPossibleTrucks($route);
$copy_possible_trucks = $this->truck_possible;
$list_all_possible_trucks = array();
foreach ($copy_possible_trucks as $value) {
$list_all_possible_trucks = array_merge($list_all_possible_trucks, $value);
}
$list_all_possible_trucks = array_unique(array_merge($list_all_possible_trucks, $route_possible_trucks));
$pending_routes = array_keys($this->routes);
array_push($pending_routes, "new");
$assigned_trucks = array();
//create white_matrix
$white_matrix = array();
foreach ($list_all_possible_trucks as $truck_id) {
$white_matrix[$truck_id] = array();
foreach ($pending_routes as $route_id) {
if ($route_id == "new") {
$white_matrix[$truck_id][$route_id] = in_array($truck_id, $route_possible_trucks) ? 1 : 0;
} else {
$white_matrix[$truck_id][$route_id] = in_array($truck_id, $copy_possible_trucks[$route_id]) ? 1 : 0;
}
}
}
$grey_matrix = new Matrix($white_matrix);
//basic required condition for solution
if (!$grey_matrix->possible()) {
return false;
}
//cardinality==1 check for $route. this means that the route has only one truck that it can use.
foreach ($grey_matrix->getColumnKeys() as $route_id) {
if ($grey_matrix->getColumnCardinal($route_id) == 1) {
$truck_id = $grey_matrix->getFirstPositiveRow($route_id);
if ($truck_id === false) {
trigger_error("Looked for positive row but found none", E_USER_ERROR);
} else {
$assigned_trucks[$truck_id] = $route_id;
$grey_matrix->deleteRow($truck_id);
$grey_matrix->deleteColumn($route_id);
}
}
}
//cardinality==1 check for $truck. this means that there is only one route that can use this truck
foreach ($grey_matrix->getRowKeys() as $truck_id) {
if ($grey_matrix->getRowCardinal($truck_id) == 1) {
$route_id = $grey_matrix->getFirstPositiveColumn($truck_id);
if ($route_id === false) {
trigger_error("Looked for positive col but found none", E_USER_ERROR);
} else {
$assigned_trucks[$truck_id] = $route_id;
$grey_matrix->deleteRow($truck_id);
$grey_matrix->deleteColumn($route_id);
}
}
}
//trivial solution found
if (count($grey_matrix->getColumnKeys()) < 1) {
return $assigned_trucks;
}
//check again for basic condition before continuing
if (!$grey_matrix->possible()) {
return false;
}
//iterate while there are still routes to be fit, we will include exit statments under certain conditions inside the loop
$black_matrix = new Matrix($grey_matrix->getMatrix());
$ignores = array();
$routes_ids = $black_matrix->getColumnKeys();
$last_route_id = end($routes_ids);
$first_route_id = reset($routes_ids);
$max_loop = $black_matrix->maximumIterations();
$loop_count = 0;
while (true) {
if ($loop_count >= $max_loop) {
trigger_error("loops count exceeded logical max loop, please check the code for errors", E_USER_ERROR);
}
$black_matrix = new Matrix($grey_matrix->getMatrix());
//recreate for loop
$routes_ids = $black_matrix->getColumnKeys();
//recreate for loop
$assignments = array();
// list of assignments for solution
$previous_route_id = false;
$previous_route_value = false;
$n = 1;
//for slice porpuses
foreach ($routes_ids as $route_id) {
if ($black_matrix->possible() === false) {
return false;
}
if (count($black_matrix->getColumnKeys()) == 0 || count($black_matrix->getRowKeys()) == 0) {
return false;
}
if (!isset($ignores[$route_id])) {
$ignores[$route_id] = array();
}
$fix_truck = $black_matrix->getFirstPositiveRow($route_id, $ignores[$route_id]);
//there are no more positive values availables
if ($fix_truck === false) {
//no more subsitituions left
if ($route_id == $first_route_id) {
return false;
} else {
$previous_step = $previous_route_value;
if ($previous_step === false) {
trigger_error("something went wrong while searching for the previous positive of {$previous_route_id}", E_USER_ERROR);
} else {
array_push($ignores[$previous_route_id], $previous_step);
}
$ignores = array_slice($ignores, 0, $n, TRUE);
break;
//restart loop
}
} else {
$n += 1;
$assignments[$fix_truck] = $route_id;
$black_matrix->deleteRow($fix_truck);
$black_matrix->deleteColumn($route_id);
$previous_route_id = $route_id;
$previous_route_value = $fix_truck;
//A solution was found, hurray!
if ($route_id == $last_route_id) {
return array_merge($assigned_trucks, $assignments);
}
}
}
}
}