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Performance with time related algorithm

I have a function that take 2 arrays ($schedule, $remove), both are arrays of days with time inside, it will remove time from the schedule .

Now this function is working fine if I have between 1 & 20 user it takes 2-4 seconds to generate the calendar which is fine but when having 20+ user with a lot of schedules entries it goes to 15+ seconds.

I'm working with CodeIgniter and I have this function in a helper where it's called a lot.

So I wanted to know if you guys can see any better way to deal with my problem or adjustments that I make to my algorithm to make it faster.

Note: In my code below, the big problem I see is the recursive call and the break of the loop every time I modify the structure.

I loop on both arrays and do test to see if the absence is inside/overlap/equal/outside of the availability and then recall the function if the structure was modified if not return the final structure.

Note 2 :

On local the Apache crash because the recursive function sometime is called more than 100 times .

Here is the code I have :

   function removeSessionsFromSchedule($schedule, $remove) {

    $modified = false;
    if (is_array($schedule) && count($schedule) > 0 && is_array($remove) && count($remove) > 0 && checkArrayEmpty($remove)) {

        // Minimise the iterations
        $remove = minimiseRemoveSchedule($remove);
        foreach ($schedule as $s => $dispo) {

            if ($modified) {
                break;
            }

            $pos        = 0;
            $countdispo = count($dispo);

            foreach ($dispo as $d) {

                $abs = isset($remove[$s]) ?  $remove[$s] :null;
                $counter = 0;
                // availability start/end
                $dis_s = strtotime($d['heure_debut']);
                $dis_e = strtotime($d['heure_fin']);
                if (is_array($abs) && count($abs) > 0) {
                    foreach ($abs as $a) {
                        // absence start/end
                        $abs_s = strtotime($a['heure_debut']);
                        $abs_e = strtotime($a['heure_fin']);
                        // Tests to see the if there is overlap between absence and availability
                        // (2) [a_s]---[ds - de]---[a_e]
                        if ($abs_s <= $dis_s && $abs_e >= $dis_e) {
                            // delete availability
                            unset($schedule[$s][$pos]);
                            $modified = true;
                            break;
                        }
                        // (7)[as == ds] && [ae < de]
                        else if ($abs_s == $dis_s && $abs_e < $dis_e) {
                            unset($schedule[$s][$pos]);
                            $schedule[$s][$pos] = $d;
                            $schedule[$s][$pos]['heure_debut'] = date("H:i", $abs_e);
                            $schedule[$s][$pos]['heure_fin'] = date("H:i", $dis_e);
                            $modified = true;
                            break;
                        }
                        // (6) [ds -de] --- [as  ae] return dispo as is
                        else if ($abs_s >= $dis_e) {
                            unset($schedule[$s][$pos]);
                            $schedule[$s][$pos] = $d;
                            $modified ?: false;
                        }
                        // (5)[as  ae] [ds -de] ---  return dispo as is
                        else if ($abs_e <= $dis_s) {
                            unset($schedule[$s][$pos]);
                            $schedule[$s][$pos] = $d;
                            $modified ?: false;
                        }
                        // (1)[ds] --- [as] --- [ae] --- [de] (duplicate dis with new times)
                        else if ($abs_s > $dis_s && $abs_e <= $dis_e) {
                            // new times as : // s1 = ds-as &&  s2 = ae-de
                            unset($schedule[$s][$pos]);
                            $schedule[$s][$pos] = $d;
                            $schedule[$s][$pos + 1] = $d;

                            $schedule[$s][$pos]['heure_debut'] = date("H:i", $dis_s);
                            $schedule[$s][$pos]['heure_fin'] = date("H:i", $abs_s);
                            $schedule[$s][$pos + 1]['heure_debut'] = date("H:i", $abs_e);
                            $schedule[$s][$pos + 1]['heure_fin'] = date("H:i", $dis_e);

                            // a revoir si ca ne cause pas d'autre problem qu'on fasse pos++ ...
                            $pos++;

                            $modified = true;
                            break;
                        }
                        // (3)[as] -- [ds] --- [ae] -- [de]
                        else if ($abs_s < $dis_s && $abs_e < $dis_e) {
                            unset($schedule[$s][$pos]);
                            $schedule[$s][$pos] = $d;
                            $schedule[$s][$pos]['heure_debut'] = date("H:i", $abs_e);
                            $schedule[$s][$pos]['heure_fin'] = date("H:i", $dis_e);
                            $modified = true;
                            break;
                        }
                        // (4) [ds]---[as]--- [de]--- [ae]
                        else if ($abs_s > $dis_s && $abs_s < $dis_e && $abs_e > $dis_e) {
                            unset($schedule[$s][$pos]);
                            $schedule[$s][$pos] = $d;
                            $schedule[$s][$pos]['heure_debut'] = date("H:i", $dis_s);
                            $schedule[$s][$pos]['heure_fin'] = date("H:i", $abs_s);
                            $modified = true;
                            break;
                        } else {
                            $modified ?: false;
                        }
                    }

                    // if($modified == true) { break;}


                } else {
                    $modified = false;
                }
                $pos++;
            }
        }
    } else {
        $modified = false;
    }

    if ($modified) {
        $schedule = resetIndexes($schedule);
        $schedule = sortByTime($schedule);
        $schedule = removeSessionsFromSchedule($schedule, $remove);
    }

    return $schedule;
}

Related Helpers

function checkArrayEmpty($array) {
    if(is_array($array) && !empty($array)) {
        foreach($array as $arr) {
            if(is_array($arr) && !empty($arr)) {
                return true;
            }
        }
    }
    return false;
}

function subval_sort_by_time($a, $subkey) {
    if (is_array($a) && count($a) > 0) {
        foreach ($a as $k => $v) {
            $b[$k] = strtotime($v[$subkey]);
        }
        asort($b);
        foreach ($b as $key => $val) {
            $c[] = $a[$key];
        }
        return $c;
    }
    else
        return $a;
}



// Reset Index function 
function resetIndexes($array) {
        $new = array();
        foreach($array as $date => $arr) {
            //$new[$date]= array_values($arr);
            $new[$date]= array_merge(array(),$arr);
        }
        return $new;
    }

// sort by time
function sortByTime($array) {
    $sorted = array();
    if(is_array($array) && !empty($array)){
        foreach ($array as $s => $val) {
            $sorted[$s] = subval_sort_by_time($val, 'heure_debut');
        }
    }
    return $sorted;
  }


 function minimiseRemoveSchedule($array) {
    $new = array();
    foreach($array as $date => $arr) {
        $i=0;
        if(is_array($arr) && !empty($arr)) {

            foreach($arr as $a) {

                if(isset($new[$date][$i])) {
                    if($new[$date][$i]['heure_fin'] == $a['heure_debut']) {
                        $new[$date][$i]['heure_fin']  = $a['heure_fin'];
                    }
                    else {
                        $i++;
                        $new[$date][$i]['heure_debut'] = $a['heure_debut'];
                        $new[$date][$i]['heure_fin']   = $a['heure_fin'];
                    }

                } else {
                    $new[$date][$i]['heure_debut'] = $a['heure_debut'];
                    $new[$date][$i]['heure_fin']   = $a['heure_fin'];
                }
            }
        }
    }
    return $new;
}

Example of Array that I pass:

$schedule = Array(
    '2012-11-12' => Array(),
    '2012-11-13' => Array(),
    '2012-11-14' => Array( 0 => Array("employe_id" => 8 , "heure_debut" => '16:00' ,"heure_fin" => '20:00' ,"date_seance" => 2012-11-14 , "jour_id" => 3)),
    '2012-11-15' => Array( 
        0 => Array("employe_id" => 8 , "heure_debut" => '09:00' ,"heure_fin" => '15:00' ,"date_seance" => 2012-11-15 , "jour_id" => 4),
        1 => Array("employe_id" => 8 , "heure_debut" => '16:00' ,"heure_fin" => '21:00' ,"date_seance" => 2012-11-15 , "jour_id" => 4)
    ),
    '2012-11-16' => Array(),
    '2012-11-17' => Array(),
    '2012-11-18' => Array(),
    '2012-11-19' => Array(0 => Array("employe_id" => 8 ,"heure_debut" => '10:00' ,"heure_fin" => '22:00' ,"date_seance" => 2012-11-19 ,"jour_id" => 1)),
    '2012-11-20' => Array(
        0 => Array("employe_id" => 8 ,"heure_debut" => '09:00' ,"heure_fin" => '15:00' ,"date_seance" => 2012-11-20 ,"jour_id" => 2),
        1 => Array("employe_id" => 8 ,"heure_debut" => '16:00' ,"heure_fin" => '20:00' ,"date_seance" => 2012-11-20 ,"jour_id" => 2)
    )
);

And for the second array:

$remove = array(
    '2012-11-12' => Array(),
    '2012-11-13' => Array(),
    '2012-11-14' => Array(),
    '2012-11-15'  => Array(),
    '2012-11-16' => Array(),
    '2012-11-17' => Array(),
    '2012-11-18' => Array(),
    // in this example i only have 1 absence ... I could have N absences
    '2012-11-19' => Array(0 => Array("employe_id" => 8 ,"date_debut" => 2012-11-19,"date_fin" => 2012-11-19  ,"heure_debut" => '12:00:00',"heure_fin"   => '14:00:00')),
    '2012-11-20' => Array(),
    '2012-11-21' => Array()
);

The resulting array would be:

$result = array(
Array
(
       [2012-11-12] => Array()
       [2012-11-13] => Array()
       // no change 
       [2012-11-14] => Array( [0] => Array("employe_id" => 8 , "heure_debut" => 16:00 ,"heure_fin" => 20:00 ,"date_seance" => 2012-11-14 , "jour_id" => 3))
       // no change
       [2012-11-15] => Array( 
                              [0] => Array("employe_id" => 8 , "heure_debut" => 09:00 ,"heure_fin" => 15:00 ,"date_seance" => 2012-11-15 , "jour_id" => 4),
                              [1] => Array("employe_id" => 8 , "heure_debut" => 16:00 ,"heure_fin" => 21:00 ,"date_seance" => 2012-11-15 , "jour_id" => 4)
                            )
       [2012-11-16] => Array()
       [2012-11-17] => Array()
       [2012-11-18] => Array()
       // since absence from 12 to 14 and  we had availability from 8 to 22 instead we will have 8->12 and 14->22
       [2012-11-19] => Array(
                          [0] => Array("employe_id" => 8 ,"heure_debut" => 08:00 ,"heure_fin" => 12:00 ,"date_seance" => 2012-11-20 ,"jour_id" => 1),
                          [1] => Array("employe_id" => 8 ,"heure_debut" => 14:00 ,"heure_fin" => 22:00 ,"date_seance" => 2012-11-20 ,"jour_id" => 1)
                        )
       // no changes since no absence during those time
       [2012-11-20] => Array(
                          [0] => Array("employe_id" => 8 ,"heure_debut" => 09:00 ,"heure_fin" => 15:00 ,"date_seance" => 2012-11-20 ,"jour_id" => 2),
                          [1] => Array("employe_id" => 8 ,"heure_debut" => 16:00 ,"heure_fin" => 20:00 ,"date_seance" => 2012-11-20 ,"jour_id" => 2)
                        )
)
like image 744
Tarek Avatar asked Nov 16 '12 16:11

Tarek


2 Answers

I don't see why you need an exponential time recursion to execute this task. You can get away with an O(r * e^2) solution (where e is the average number of availabilities/removals per day, and r is size of removed times) via nested loop. Pseudocode below:

for removeday in remove:
    define scheduleday := schedule[removeday.date]
    if scheduleday not found:
        continue
    for removesegment in removeday:
        define temparray := empty
        for availsegment in scheduleday:
            if availsegment.employeid != removesegment.employeid:
                continue
            if no overlap:
                temparray.add(availsegment)
            if partial overlap:
                temparray.add(availsegment.split(removesegment))
        scheduleday = temparray
    schedule[removeday.date] := scheduleday
return schedule
like image 174
jma127 Avatar answered Sep 24 '22 15:09

jma127


The code below produces the same output for the given sample but I haven't tested all possible cases.

Working Demo

function removeSessionsFromScheduleHelper(&$schedule,&$remove) {

    $change = false;

    foreach($remove as $date => &$remove_ranges) {

        if(empty($remove_ranges) || !isset($schedule[$date]))
            continue;

        foreach($remove_ranges as &$remove_range) {
            foreach($schedule[$date] as $day_key => &$time) {

                //start after finish, no overlap and because schedules are sorted
                //next items in schedule loop will also not overlap
                //break schedule loop & move to next remove iteration
                if($time['heure_debut'] >= $remove_range['heure_fin'])
                    break;

                //finish before start, no overlap
                if($time['heure_fin'] <= $remove_range['heure_debut'])
                    continue;

                //complete overlap, remove
                if($time['heure_debut'] >= $remove_range['heure_debut']
                  && $time['heure_fin'] <= $remove_range['heure_fin']) {
                    unset($schedule[$date][$day_key]);
                    continue;
                }

                //split into 2 ranges
                if($time['heure_debut'] < $remove_range['heure_debut']) {

                    if($time['heure_fin'] > $remove_range['heure_fin']) {
                        $schedule[$date][] = array(
                            'heure_debut' => $remove_range['heure_fin'],
                            'heure_fin' => $time['heure_fin']
                        );
                    }

                    $change = true;
                    $time['heure_fin'] = $remove_range['heure_debut'];                     
                    continue;
                }

                if($time['heure_debut'] >= $remove_range['heure_debut']) {
                    $change = true;
                    $time['heure_debut'] = $remove_range['heure_fin'];
                }                
            }
        }
    }

    if($change) {    
       foreach($schedule as &$values) {
          usort($values,'compare_schedule');
       }
    }

    return $change;
}

function compare_schedule($a,$b) {
    return strtotime($a['heure_debut']) - strtotime($b['heure_debut']);
}

function removeFromSchedule(&$schedule,$remove) {

    foreach($remove as $k => &$v) {
        foreach($v as $k2 => &$v2) {
            $v2['heure_debut'] = substr($v2['heure_debut'],0,5);
            $v2['heure_fin'] = substr($v2['heure_fin'],0,5);
        }
    }

    while(removeSessionsFromScheduleHelper($schedule,$remove));    
}

removeFromSchedule($schedule,$remove);
print_r($schedule);
like image 27
FuzzyTree Avatar answered Sep 26 '22 15:09

FuzzyTree