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<?php |
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namespace Michaelc\Voting\STV; |
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use Psr\Log\LoggerInterface as Logger; |
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use Michaelc\Voting\Exception\VotingLogicException as LogicException; |
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use Michaelc\Voting\Exception\VotingRuntimeException as RuntimeException; |
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/** |
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* This class will calculate the outcome of an election |
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* |
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* References throughout are provided as to what is going on. |
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* It follows a system similar to Scottish STV and all paragraph |
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* references are for: http://www.legislation.gov.uk/sdsi/2011/9780111014639/pdfs/sdsi_9780111014639_en.pdf |
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*/ |
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class ElectionRunner |
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{ |
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/** |
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* Logger. |
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* |
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* @var \Psr\Log\LoggerInterface |
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*/ |
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protected $logger; |
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/** |
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* Election object. |
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* |
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* @var \Michaelc\Voting\STV\Election; |
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*/ |
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protected $election; |
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/** |
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* Array of all ballots in election. |
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* |
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* @var \MichaelC\Voting\STV\Ballot[] |
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*/ |
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protected $ballots; |
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/** |
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* Quota of votes needed for a candidate to be elected. |
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* |
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* @var int |
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*/ |
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public $quota; |
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/** |
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* Number of candidates elected so far. |
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* |
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* @var int |
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*/ |
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public $electedCandidates; |
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/** |
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* Invalid ballots. |
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* |
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* @var \MichaelC\Voting\STV\Ballot[] |
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*/ |
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public $rejectedBallots; |
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/** |
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* Number of valid ballots |
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* |
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* @var int |
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*/ |
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public $validBallots; |
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/** |
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* Number of winners to still be elected (at current stage) |
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* |
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* @var int |
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*/ |
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public $candidatesToElect; |
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/** |
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* Constructor. |
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* |
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* @param Election $election |
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*/ |
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public function __construct(Election $election, Logger $logger) |
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{ |
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$this->logger = $logger; |
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$this->election = $election; |
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$this->ballots = $this->election->getBallots(); |
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$this->rejectedBallots = []; |
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$this->candidatesToElect = $this->election->getWinnersCount(); |
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$this->validBallots = $this->election->getNumBallots(); |
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} |
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/** |
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* Run the election. |
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* |
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* @return Candidate[] Winning candidates |
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*/ |
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1 |
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public function run() |
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{ |
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$this->logger->notice('Starting to run an election'); |
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$this->logger->notice(sprintf('There are %d candidates, %d ballots and to be %d winners', $this->election->getCandidateCount(), $this->validBallots, $this->election->getWinnersCount())); |
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// Reject invalid ballots, then calculate the quota based on remaining valid ballots |
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// p. 46(3) and p 47 |
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$this->rejectInvalidBallots(); |
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$this->setQuota(); |
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// First step of standard allocation of ballots |
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// p. 46(1) and 46(2) |
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$this->firstStep(); |
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$candidates = $this->election->getActiveCandidates(); |
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// All the re-allocation rounds until we have filled all seats or |
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// have the same number of seats left to fill and candidates remaining |
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// (then elect them). |
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$this->processReallocationRounds($candidates); |
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// p. 53 |
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$this->reallocateRemainingVotes($candidates); |
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$this->logger->notice('Election complete'); |
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return $this->election->getElectedCandidates(); |
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} |
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/** |
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* Perform the initial vote allocation. |
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* p. 46 |
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* |
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* @return |
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*/ |
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protected function firstStep() |
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{ |
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$this->logger->info('Beginning the first step'); |
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// Allocate all the ballots |
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foreach ($this->ballots as $i => $ballot) { |
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$this->allocateVotes($ballot); |
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} |
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$this->logger->notice('Step 1 complete', |
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1 |
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['candidatesStatus' => $this->election->getCandidatesStatus()] |
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); |
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return; |
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} |
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/** |
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* Process re-allocation rounds (elimination re-allocations and surplus re-allocations) |
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* |
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* @param Candidate[] $candidates All active candidates to elect |
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* |
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* @return Candidate[] |
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*/ |
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protected function processReallocationRounds(array &$candidates): array |
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{ |
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$counter = 1; |
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while (($this->candidatesToElect > 0) && ($this->election->getActiveCandidateCount() > $this->candidatesToElect)) { |
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if (!$this->checkCandidates($candidates)) { |
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// p. 51(1) |
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$this->eliminateCandidates($candidates); |
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} |
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$candidates = $this->election->getActiveCandidates(); |
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$counter++; |
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$this->logger->notice("Step $counter complete", |
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['candidatesStatus' => $this->election->getCandidatesStatus()] |
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); |
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} |
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return $candidates; |
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} |
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/** |
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* Check if any candidates have reached the quota and can be elected. |
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* |
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* @param Candidate[] $candidates Array of active candidates to check |
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* |
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* @return bool Whether any candidates were changed to elected |
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*/ |
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protected function checkCandidates(array $candidates): bool |
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{ |
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$elected = false; |
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$candidatesToElect = []; |
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$this->logger->info('Checking if candidates have passed quota'); |
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if (empty($candidates)) |
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{ |
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throw new LogicException("There are no more candidates left"); |
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} |
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foreach ($candidates as $i => $candidate) { |
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if ($candidate->getState() !== Candidate::RUNNING) |
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{ |
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throw new LogicException('Candidate is not marked as not running but has not been excluded'); |
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} |
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$votes = $candidate->getVotes(); |
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$this->logger->debug("Checking candidate ($candidate) with $votes", ['candidate' => $candidate]); |
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// p. 48(1) |
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// Immediately elect a candidate if they hit the quota |
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// We check all the candidates, see who has hit the quota, |
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// add them to a queue, then elect those who have hit the quota to prevent |
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// surplus allocations pushing a candidate over the quota early. |
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if ($votes >= $this->quota) { |
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$candidatesToElect[] = $candidate; |
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$elected = true; |
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} |
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} |
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// TODO: Put this in a try, and catch the RuntimeError. |
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// Then sort by the surplus, and fill available seats. |
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// If have same surplus then select randomly (Contary to Scottish STV) |
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// p. 50 |
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$this->electCandidates($candidatesToElect); |
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$this->logger->info(('Candidate checking complete. Elected: ' . count($candidatesToElect))); |
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return $elected; |
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} |
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/** |
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* Elect an array of candidates |
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* |
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* @param Candidate[] $candidates Array of candidates to elect |
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* |
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* @return |
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*/ |
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protected function electCandidates(array $candidates) |
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{ |
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if ($this->candidatesToElect < count($candidates)) |
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{ |
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throw new RuntimeException('Cannot elect candidate as not enough seats to fill'); |
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} |
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foreach ($candidates as $i => $candidate) { |
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$this->electCandidate($candidate); |
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} |
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return; |
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} |
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/** |
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* Allocate the next votes from a Ballot. |
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* p. 49 |
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* |
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* @param Ballot $ballot The ballot to allocate the votes from |
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* @param float $multiplier Number to multiply the weight by (surplus) |
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* @param float $divisor The divisor of the weight (Total number of |
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* candidate votes) |
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* |
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* @return Ballot The same ballot passed in modified |
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*/ |
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protected function allocateVotes(Ballot $ballot, float $multiplier = 1.0, float $divisor = 1.0): Ballot |
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{ |
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$currentWeight = $ballot->getWeight(); |
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// p. 49(3) |
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// "A divided by B" Where A = the value which is calculated |
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// by multiplying the surplus of the transferring candidate |
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// by the value of the ballot paper when received by that candidate; and |
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// B = the total number of votes credited to that candidate |
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$weight = $ballot->setWeight(($currentWeight * $multiplier) / $divisor); |
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// Get the next candidate on their ballot paper which has not been assigned |
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// a vote this could be the first candidate in round 1 |
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1 |
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$candidate = $ballot->getNextChoice(); |
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$this->logger->debug("Allocating vote of weight $weight to $candidate. Previous weight: $currentWeight", array( |
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'ballot' => $ballot, |
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)); |
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// Check there was a next candidate, if only x candidates where listed where |
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// x < the number of candidates standing this will occur. |
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1 |
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if ($candidate !== null) { |
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// Allocate those surplus votes. p. 49(1) and p. 49(2) |
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1 |
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$this->election->getCandidate($candidate)->addVotes($weight); |
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1 |
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$ballot->incrementLevelUsed(); |
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1 |
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$this->logger->debug('Vote added to candidate'); |
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// If the candidate is no longer running due to being defeated or |
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// elected then we re-allocate their vote again. |
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1 |
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if (!in_array($candidate, $this->election->getActiveCandidateIds())) |
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{ |
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1 |
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$this->allocateVotes($ballot); |
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} |
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} |
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1 |
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return $ballot; |
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} |
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293
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/** |
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294
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* Transfer the votes from one candidate to other candidates. |
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* |
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* @param float $surplus The number of surplus votes to transfer |
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* @param Candidate $candidate The candidate being elected to transfer |
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* the votes from |
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* |
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* @return |
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*/ |
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1 |
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protected function transferSurplusVotes(float $surplus, Candidate $candidate) |
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303
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{ |
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304
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1 |
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$totalVotes = $candidate->getVotes(); |
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1 |
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$candidateId = $candidate->getId(); |
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1 |
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$this->logger->info('Transfering surplus votes'); |
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309
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1 |
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foreach ($this->ballots as $i => $ballot) { |
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1 |
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if ($ballot->getLastChoice() == $candidateId) { |
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1 |
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$this->allocateVotes($ballot, $surplus, $totalVotes); |
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} |
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} |
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1 |
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return; |
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} |
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317
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318
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/** |
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319
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* Transfer the votes from one eliminated candidate to other candidates. |
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320
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* p. 51(2) |
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321
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* |
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322
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* @param Candidate $candidate Candidate being eliminated to transfer |
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323
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* the votes from |
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324
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* |
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325
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* @return |
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326
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*/ |
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327
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1 |
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protected function transferEliminatedVotes(Candidate $candidate) |
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328
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{ |
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329
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1 |
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$candidateId = $candidate->getId(); |
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330
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331
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1 |
|
$votes = $candidate->getVotes(); |
|
332
|
|
|
|
|
333
|
1 |
|
$this->logger->info("Transfering votes from eliminated candidate ($candidate) with $votes votes"); |
|
334
|
|
|
|
|
335
|
|
|
// p. 51(2)(a) - Sort into next preference candidates |
|
336
|
|
|
// p. 51(3) - Add votes to candidates |
|
337
|
|
|
// p. 51(4) - Use previous weighting |
|
338
|
1 |
|
foreach ($this->ballots as $i => $ballot) { |
|
339
|
1 |
|
if ($ballot->getLastChoice() == $candidateId) { |
|
340
|
1 |
|
$this->allocateVotes($ballot); |
|
341
|
|
|
} |
|
342
|
|
|
} |
|
343
|
|
|
|
|
344
|
1 |
|
return; |
|
345
|
|
|
} |
|
346
|
|
|
|
|
347
|
|
|
/** |
|
348
|
|
|
* Elect a candidate after they've passed the threshold. |
|
349
|
|
|
* |
|
350
|
|
|
* @param Candidate $candidate |
|
351
|
|
|
*/ |
|
352
|
1 |
|
protected function electCandidate(Candidate $candidate) |
|
353
|
|
|
{ |
|
354
|
1 |
|
$this->logger->notice("Electing a candidate: $candidate"); |
|
355
|
|
|
|
|
356
|
1 |
|
$candidate->setState(Candidate::ELECTED); |
|
357
|
1 |
|
$this->electedCandidates++; |
|
358
|
1 |
|
$this->candidatesToElect--; |
|
359
|
|
|
|
|
360
|
1 |
|
if ($this->electedCandidates < $this->election->getWinnersCount()) { |
|
361
|
1 |
|
$surplus = $candidate->getVotes() - $this->quota; |
|
362
|
1 |
|
if ($surplus > 0) { |
|
363
|
1 |
|
$this->transferSurplusVotes($surplus, $candidate); |
|
364
|
|
|
} else { |
|
365
|
1 |
|
$this->logger->notice("No surplus votes from $candidate to reallocate"); |
|
366
|
|
|
} |
|
367
|
|
|
} |
|
368
|
|
|
|
|
369
|
1 |
|
return; |
|
370
|
|
|
} |
|
371
|
|
|
|
|
372
|
|
|
/** |
|
373
|
|
|
* Eliminate the candidate with the lowest number of votes |
|
374
|
|
|
* and reallocated their votes. |
|
375
|
|
|
* p. 51 |
|
376
|
|
|
* |
|
377
|
|
|
* @param Candidate[] $candidates Array of active candidates |
|
378
|
|
|
* |
|
379
|
|
|
* @return int Number of candidates eliminated |
|
380
|
|
|
*/ |
|
381
|
1 |
|
protected function eliminateCandidates(array $candidates): int |
|
382
|
|
|
{ |
|
383
|
1 |
|
$minimumCandidates = $this->getLowestCandidates($candidates); |
|
384
|
1 |
|
$count = count($minimumCandidates); |
|
385
|
|
|
|
|
386
|
|
|
// p. 52(2)(b) - the returning officer shall decide, by lot, which of those |
|
387
|
|
|
// candidates is to be excluded. |
|
388
|
|
|
// We do not look back on previous rounds at all as per p. 52(2)(a) |
|
389
|
1 |
|
$minimumCandidate = $minimumCandidates[(array_rand($minimumCandidates))]; |
|
390
|
|
|
|
|
391
|
1 |
|
$this->logger->notice(sprintf("There were %d joint lowest candidates, |
|
392
|
1 |
|
%d was randomly selected to be eliminated", $count, $minimumCandidate->getId())); |
|
393
|
|
|
|
|
394
|
1 |
|
$this->transferEliminatedVotes($minimumCandidate); |
|
395
|
1 |
|
$minimumCandidate->setState(Candidate::DEFEATED); |
|
396
|
|
|
|
|
397
|
1 |
|
return count($minimumCandidates); |
|
398
|
|
|
} |
|
399
|
|
|
|
|
400
|
|
|
/** |
|
401
|
|
|
* Get candidates with the lowest number of votes |
|
402
|
|
|
* p. 51 and p. 52(1) |
|
403
|
|
|
* |
|
404
|
|
|
* @param Candidate[] $candidates |
|
405
|
|
|
* Array of active candidates |
|
406
|
|
|
* |
|
407
|
|
|
* @return Candidate[] |
|
408
|
|
|
* Candidates with lowest score |
|
409
|
|
|
*/ |
|
410
|
1 |
|
public function getLowestCandidates(array $candidates): array |
|
411
|
|
|
{ |
|
412
|
1 |
|
$minimum = count($this->election->getBallots()); |
|
413
|
1 |
|
$minimumCandidates = []; |
|
414
|
|
|
|
|
415
|
1 |
|
foreach ($candidates as $i => $candidate) { |
|
416
|
1 |
|
if ($candidate->getVotes() < $minimum) { |
|
417
|
1 |
|
$minimum = $candidate->getVotes(); |
|
418
|
1 |
|
unset($minimumCandidates); |
|
419
|
1 |
|
$minimumCandidates[] = $candidate; |
|
420
|
1 |
|
} elseif ($candidate->getVotes() == $minimum) { |
|
421
|
1 |
|
$minimumCandidates[] = $candidate; |
|
422
|
1 |
|
$this->logger->info("Calculated as a lowest candidate: $candidate"); |
|
423
|
|
|
} |
|
424
|
|
|
} |
|
425
|
|
|
|
|
426
|
1 |
|
return $minimumCandidates; |
|
427
|
|
|
} |
|
428
|
|
|
|
|
429
|
|
|
/** |
|
430
|
|
|
* Reject any invalid ballots. |
|
431
|
|
|
* p. 46(3) |
|
432
|
|
|
* |
|
433
|
|
|
* @return int Number of rejected ballots |
|
434
|
|
|
*/ |
|
435
|
1 |
|
protected function rejectInvalidBallots(): int |
|
436
|
|
|
{ |
|
437
|
1 |
|
foreach ($this->ballots as $i => $ballot) { |
|
438
|
1 |
|
if (!$this->checkBallotValidity($ballot)) { |
|
439
|
1 |
|
$this->rejectedBallots[] = clone $ballot; |
|
440
|
1 |
|
unset($this->ballots[$i]); |
|
441
|
|
|
} |
|
442
|
|
|
} |
|
443
|
|
|
|
|
444
|
1 |
|
$count = count($this->rejectedBallots); |
|
445
|
|
|
|
|
446
|
1 |
|
$this->logger->notice("Found $count rejected ballots"); |
|
447
|
|
|
|
|
448
|
1 |
|
$this->validBallots = $this->validBallots - $count; |
|
449
|
|
|
|
|
450
|
1 |
|
return $count; |
|
451
|
|
|
} |
|
452
|
|
|
|
|
453
|
|
|
/** |
|
454
|
|
|
* Check if ballot is valid. |
|
455
|
|
|
* |
|
456
|
|
|
* @param Ballot $ballot Ballot to test |
|
457
|
|
|
* |
|
458
|
|
|
* @return bool True if valid, false if invalid |
|
459
|
|
|
*/ |
|
460
|
2 |
|
public function checkBallotValidity(Ballot $ballot): bool |
|
461
|
|
|
{ |
|
462
|
2 |
|
$ranking = $ballot->getRanking(); |
|
463
|
|
|
|
|
464
|
2 |
|
if (count($ranking) > $this->election->getCandidateCount()) { |
|
465
|
2 |
|
$this->logger->debug('Invalid ballot - number of candidates', ['ballot' => $ballot]); |
|
466
|
|
|
|
|
467
|
2 |
|
return false; |
|
468
|
2 |
|
} elseif (count($ranking) !== count(array_unique($ranking))) { |
|
469
|
1 |
|
return false; |
|
470
|
|
|
} else { |
|
471
|
2 |
|
$candidateIds = $this->election->getCandidateIds(); |
|
472
|
|
|
|
|
473
|
2 |
|
foreach ($ranking as $i => $candidate) { |
|
474
|
2 |
|
if (!in_array($candidate, $candidateIds)) { |
|
475
|
2 |
|
$this->logger->debug('Invalid ballot - invalid candidate'); |
|
476
|
|
|
|
|
477
|
2 |
|
return false; |
|
478
|
|
|
} |
|
479
|
|
|
} |
|
480
|
|
|
} |
|
481
|
|
|
|
|
482
|
|
|
// TODO: Check for candidates multiple times on the same ballot paper |
|
483
|
|
|
|
|
484
|
2 |
|
$this->logger->debug('Ballot is valid', ['ballot' => $ballot]); |
|
485
|
|
|
|
|
486
|
2 |
|
return true; |
|
487
|
|
|
} |
|
488
|
|
|
|
|
489
|
|
|
/** |
|
490
|
|
|
* Reallocate any remaining votes |
|
491
|
|
|
* p. 53 |
|
492
|
|
|
* |
|
493
|
|
|
* @param Candidate[] $candidates All remaining candidates to elect |
|
494
|
|
|
* @return |
|
495
|
|
|
*/ |
|
496
|
1 |
|
protected function reallocateRemainingVotes(array &$candidates) |
|
497
|
|
|
{ |
|
498
|
1 |
|
if (!empty($candidates)) |
|
499
|
|
|
{ |
|
500
|
1 |
|
$this->logger->info('All votes re-allocated. Electing all remaining candidates'); |
|
501
|
|
|
|
|
502
|
1 |
|
if ($this->candidatesToElect < count($candidates)) |
|
503
|
|
|
{ |
|
504
|
|
|
throw new LogicException('Cannot elect candidate as no more seats to fill'); |
|
505
|
|
|
} |
|
506
|
|
|
|
|
507
|
1 |
|
$this->electCandidates($candidates); |
|
508
|
|
|
} |
|
509
|
|
|
|
|
510
|
1 |
|
return; |
|
511
|
|
|
} |
|
512
|
|
|
|
|
513
|
|
|
/** |
|
514
|
|
|
* Get the quota to win. |
|
515
|
|
|
* p. 47 |
|
516
|
|
|
* |
|
517
|
|
|
* TODO: Move this out of this method and use params/args |
|
518
|
|
|
* |
|
519
|
|
|
* @return int |
|
520
|
|
|
*/ |
|
521
|
1 |
|
public function setQuota(): int |
|
522
|
|
|
{ |
|
523
|
1 |
|
$this->quota = floor( |
|
|
|
|
|
|
524
|
1 |
|
($this->validBallots / |
|
525
|
1 |
|
($this->election->getWinnersCount() + 1) |
|
526
|
|
|
) // p. 47 (1) |
|
527
|
1 |
|
+ 1); // p. 47 (2) |
|
528
|
|
|
|
|
529
|
1 |
|
$this->logger->info(sprintf("Quota set at %d based on %d winners and %d valid ballots", $this->quota, $this->election->getWinnersCount(), $this->validBallots)); |
|
530
|
|
|
|
|
531
|
1 |
|
return $this->quota; |
|
532
|
|
|
} |
|
533
|
|
|
} |
|
534
|
|
|
|
This check looks for assignments to scalar types that may be of the wrong type.
To ensure the code behaves as expected, it may be a good idea to add an explicit type cast.