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<?php |
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namespace App\Models\Rating; |
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use Illuminate\Database\Eloquent\Model; |
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use Illuminate\Support\Facades\DB; |
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use Illuminate\Support\Facades\Hash; |
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use App\Models\ContestModel; |
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use Cache; |
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use Storage; |
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use Log; |
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class RatingCalculator extends Model |
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{ |
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public $cid=0; |
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public $contestants=[]; |
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public $totParticipants=0; |
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public $INITIAL_RATING=1500; |
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public function __construct($cid) { |
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$this->cid=$cid; |
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// get rank |
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$this->getRecord(); |
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} |
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private function getRecord() { |
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$contestRankRaw=Cache::tags(['contest', 'rank'])->get($this->cid); |
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if ($contestRankRaw==null) { |
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$contestModel=new ContestModel(); |
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$contestRankRaw=$contestModel->contestRankCache($this->cid); |
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} |
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$this->totParticipants=count($contestRankRaw); |
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foreach ($contestRankRaw as $c) { |
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$this->contestants[]=[ |
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"uid"=>$c["uid"], |
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"points"=>$c["score"], |
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"rating"=>DB::table("users")->where(["id"=>$c["uid"]])->first()["professional_rate"] |
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]; |
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} |
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} |
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private function reassignRank() { |
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$this->sort("points"); |
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$idx=0; |
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$points=$this->contestants[0]["points"]; |
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$i=1; |
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while ($i<$this->totParticipants) { |
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if ($this->contestants[$i]["points"]<$points) { |
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$j=$idx; |
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while ($j<$i) { |
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$this->contestants[$j]["rank"]=$i; |
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$j+=1; |
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} |
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$idx=$i; |
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$points=$this->contestants[$i]["points"]; |
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} |
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$i+=1; |
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} |
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$j=$idx; |
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while ($j<$this->totParticipants) { |
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$this->contestants[$j]["rank"]=$this->totParticipants; |
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$j+=1; |
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} |
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} |
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private function getEloWinProbability($Ra, $Rb) { |
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return 1.0 / (1+pow(10, ($Rb-$Ra) / 400.0)); |
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} |
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private function getSeed($rating) { |
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$result=1.0; |
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foreach ($this->contestants as $other) { |
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$result+=$this->getEloWinProbability($other["rating"], $rating); |
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} |
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return $result; |
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} |
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private function getRatingToRank($rank) { |
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$left=1; |
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$right=8000; |
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while ($right-$left>1) { |
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$mid=floor(($right+$left) / 2); |
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if ($this->getSeed($mid)<$rank) { |
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$right=$mid; |
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} else { |
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$left=$mid; |
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} |
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} |
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return $left; |
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} |
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private function sort($key) { |
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usort($this->contestants, function($a, $b) use ($key) { |
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return $b[$key] <=> $a[$key]; |
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}); |
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} |
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public function calculate() { |
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if (empty($this->contestants)) { |
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return; |
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} |
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// recalc rank |
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$this->reassignRank(); |
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foreach ($this->contestants as &$member) { |
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$member["seed"]=1.0; |
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foreach ($this->contestants as $other) { |
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if ($member["uid"]!=$other["uid"]) { |
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$member["seed"]+=$this->getEloWinProbability($other["rating"], $member["rating"]); |
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} |
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} |
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} |
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unset($member); |
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foreach ($this->contestants as &$contestant) { |
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$midRank=sqrt($contestant["rank"] * $contestant["seed"]); |
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$contestant["needRating"]=$this->getRatingToRank($midRank); |
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$contestant["delta"]=floor(($contestant["needRating"]-$contestant["rating"]) / 2); |
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} |
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unset($contestant); |
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$this->sort("rating"); |
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// DO some adjuct |
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// Total sum should not be more than ZERO. |
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$sum=0; |
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foreach ($this->contestants as $contestant) { |
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$sum+=$contestant["delta"]; |
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} |
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$inc=-floor($sum / $this->totParticipants)-1; |
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foreach ($this->contestants as &$contestant) { |
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$contestant["delta"]+=$inc; |
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} |
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unset($contestant); |
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// Sum of top-4*sqrt should be adjusted to ZERO. |
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$sum=0; |
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$zeroSumCount=min(intval(4 * round(sqrt($this->totParticipants))), $this->totParticipants); |
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for ($i=0; $i<$zeroSumCount; $i++) { |
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$sum+=$this->contestants[$i]["delta"]; |
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} |
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$inc=min(max(-floor($sum / $zeroSumCount), -10), 0); |
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for ($i=0; $i<$zeroSumCount; $i++) { |
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$this->contestants[$i]["delta"]+=$inc; |
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} |
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return $this->validateDeltas(); |
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} |
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public function storage() { |
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$contestants=$this->contestants; |
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DB::transaction(function() use ($contestants) { |
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foreach ($contestants as $contestant) { |
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$newRating=$contestant["rating"]+$contestant["delta"]; |
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DB::table("users")->where([ |
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"id"=>$contestant["uid"] |
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])->update([ |
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"professional_rate"=>$newRating |
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]); |
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DB::table("professional_rated_change_log")->insert([ |
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"uid"=>$contestant["uid"], |
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"cid"=>$this->cid, |
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"rated"=>$newRating |
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]); |
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} |
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// Mark |
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DB::table("contest")->where([ |
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"cid"=>$this->cid |
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])->update([ |
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"is_rated"=>1 |
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]); |
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}, 5); |
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} |
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private function validateDeltas() { |
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$this->sort("points"); |
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for ($i=0; $i<$this->totParticipants; $i++) { |
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for ($j=$i+1; $j<$this->totParticipants; $j++) { |
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if ($this->contestants[$i]["rating"]>$this->contestants[$j]["rating"]) { |
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if ($this->contestants[$i]["rating"]+$this->contestants[$i]["delta"]<$this->contestants[$j]["rating"]+$this->contestants[$j]["delta"]) { |
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Log::warning("First rating invariant failed: {$this->contestants[$i]["uid"]} vs. {$this->contestants[$j]["uid"]}."); |
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return false; |
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} |
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} |
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if ($this->contestants[$i]["rating"]<$this->contestants[$j]["rating"]) { |
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if ($this->contestants[$i]["delta"]<$this->contestants[$j]["delta"]) { |
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Log::warning("Second rating invariant failed: {$this->contestants[$i]["uid"]} vs. {$this->contestants[$j]["uid"]}."); |
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return false; |
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} |
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} |
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} |
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} |
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return true; |
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} |
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} |
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