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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 App\Models\ContestModel; |
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use Log; |
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class GroupRatingCalculator 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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$contestModel = new ContestModel(); |
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$this->cid = $cid; |
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$this->gid = $contestModel->gid($cid); |
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// get rank |
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$this->getRecord(); |
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} |
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private function getRecord(){ |
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$contestModel = new ContestModel(); |
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$contestRankRaw = $contestModel->contestRank($this->cid); |
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$this->totParticipants = count($contestRankRaw); |
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$members = array_column($contestRankRaw,'uid'); |
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$ratings_temp = DB::table('group_member') |
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->where([ |
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'gid' => $this->gid, |
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])->whereIn('uid',$members) |
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->select('uid','ranking') |
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->get()->all(); |
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$ratings = []; |
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foreach ($ratings_temp as $rating) { |
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$ratings[$rating['uid']] = $rating['ranking']; |
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} |
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foreach($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"=>$ratings[$c['uid']], |
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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("group_member")->where([ |
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'gid' => $this->gid, |
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'uid' => $contestant['uid'], |
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])->update([ |
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"ranking"=>$newRating |
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]); |
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DB::table("group_rated_change_log")->insert([ |
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'gid' => $this->gid, |
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"uid" => $contestant["uid"], |
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"cid" => $this->cid, |
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"ranking" => $newRating |
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]); |
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} |
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}, 5); |
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} |
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private function validateDeltas(){ |
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$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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Checks if undeclared accessed properties appear in database migrations and if the creating migration is correct.