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<?php |
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namespace P4lv\ExcelGoalSeek; |
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use P4lv\ExcelGoalSeek\Exception\GoalNeverReached; |
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use P4lv\ExcelGoalSeek\Exception\GoalReachedNotEnough; |
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use Psr\Log\LoggerInterface; |
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class ExcelGoalSeek |
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{ |
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/** |
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* @var LoggerInterface|null |
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*/ |
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private $logger; |
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public function __construct(LoggerInterface $logger = null) |
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{ |
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$this->logger = $logger; |
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} |
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private function debug($message, array $context = []): void |
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{ |
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if ($this->logger instanceof LoggerInterface) { |
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$this->logger->debug($message, $context); |
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} |
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} |
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public function calculate( |
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callable $function, |
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$goal, |
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$decimal_places, |
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$incremental_modifier = 1, |
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$max_loops_round = 0, |
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$max_loops_dec = 0, |
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$lock_min = ['num' => null, 'goal' => null], |
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$lock_max = ['num' => null, 'goal' => null], |
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$slope = null, |
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$randomized = false, |
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$start_from = 0.1 |
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) |
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{ |
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//If goal found has more than this difference, return null as it is not found |
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$maximum_acceptable_difference = 0.1; |
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$max_loops_round++; |
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$this->checkLimitRestriction($max_loops_round); |
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$this->debug(sprintf("Iteration %d; min value = %s; max value = %s; slope %s", $max_loops_round, $lock_min['num'], $lock_max['num'], $slope)); |
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//If I have the goal limited to a unit, I seek decimals |
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if ($lock_min['num'] !== null && $lock_max['num'] !== null && abs(abs($lock_max['num']) - abs($lock_min['num'])) <= 1) { |
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//No decimal , return result |
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if ($lock_min['num'] == $lock_max['num']) { |
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return $lock_min['num']; |
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} |
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//Seek decimals |
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foreach (range(1, $decimal_places, 1) as $decimal) { |
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$decimal_step = 1 / (10 ** $decimal); |
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$difference = abs(round(abs($lock_max['num']), $decimal) - round(abs($lock_min['num']), $decimal)); |
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while ($difference - ($decimal_step / 10) > $decimal_step && $max_loops_dec < (2000 * $decimal_places)) { |
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$max_loops_dec++; |
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$aux_obj_num = round(($lock_min['num'] + $lock_max['num']) / 2, $decimal); |
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$aux_obj = $function($aux_obj_num); |
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$this->debug(sprintf("Decimal iteration %d; min value = %s; max value = %s; value %s", $max_loops_dec, $lock_min['num'], $lock_max['num'], $aux_obj)); |
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//Like when I look without decimals |
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[$lock_min, $lock_max] = $this->lookWithoutDecimals($aux_obj, $goal, $aux_obj_num, $lock_min, $lock_max, $slope); |
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//End Like when I look without decimals |
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$difference = abs(round(abs($lock_max['num']), $decimal) - round(abs($lock_min['num']), $decimal)); |
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}//End while |
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}//End foreach |
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if ($max_loops_dec > 2000 * $decimal_places) { |
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throw new GoalNeverReached('Goal never reached [2000]'); |
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} |
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if (!is_nan($lock_min['goal']) && abs(abs($lock_min['goal']) - abs($goal)) < $maximum_acceptable_difference) { |
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return round($lock_min['num'], $decimal_places - 1); |
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} |
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throw new GoalReachedNotEnough('Goal reached not enough'); |
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} |
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//First iteration, try with zero |
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$aux_obj_num = $this->getAuxObjNum($lock_min['num'], $lock_max['num'], $start_from, $incremental_modifier); |
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$aux_obj = $function($aux_obj_num); |
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$this->debug(sprintf("Testing (with initial value) %s%d with value %s", $aux_obj_num != $start_from ? '' : '(with initial value)', $aux_obj_num, $aux_obj)); |
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if ($slope === null) { |
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$aux_slope = $function($aux_obj_num + 0.1); |
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if (is_nan($aux_slope) || is_nan($aux_obj)) { |
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$slope = null; //If slope is null |
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} elseif ($aux_slope - $aux_obj > 0) { |
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$slope = 1; |
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} else { |
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$slope = -1; |
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} |
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} |
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//Test if formule can give me non valid values, i.e.: sqrt of negative value |
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if (!is_nan($aux_obj)) { |
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//Is goal without decimals? |
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[$lock_min, $lock_max] = $this->lookWithoutDecimals($aux_obj, $goal, $aux_obj_num, $lock_min, $lock_max, $slope); |
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} else { |
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if (($lock_min['num'] === null && $lock_max['num'] === null) || $randomized) { |
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$nuevo_start_from = random_int(-500, 500); |
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return $this->calculate($function, $goal, $decimal_places, $incremental_modifier + 1, $max_loops_round, $max_loops_dec, $lock_min, $lock_max, $slope, true, $nuevo_start_from); |
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} //First iteration is null |
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if ($lock_min['num'] !== null && abs(abs($aux_obj_num) - abs($lock_min['num'])) < 1) { |
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$lock_max['num'] = $aux_obj_num; |
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} |
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if ($lock_max['num'] !== null && abs(abs($aux_obj_num) - abs($lock_max['num'])) < 1) { |
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$lock_min['num'] = $aux_obj_num; |
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} |
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return $this->calculate($function, $goal, $decimal_places, $incremental_modifier + 1, $max_loops_round, $max_loops_dec, $lock_min, $lock_max, $slope, $randomized, $start_from); |
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} |
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return $this->calculate($function, $goal, $decimal_places, $incremental_modifier, $max_loops_round, $max_loops_dec, $lock_min, $lock_max, $slope, $randomized, $start_from); |
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} |
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private function lookWithoutDecimals($aux_obj, $goal, $aux_obj_num, $lock_min, $lock_max, $slope): array |
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{ |
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if ($aux_obj == $goal) { |
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$lock_min['num'] = $aux_obj_num; |
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$lock_min['goal'] = $aux_obj; |
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$lock_max['num'] = $aux_obj_num; |
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$lock_max['goal'] = $aux_obj; |
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} |
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$going_up = false; |
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if ($aux_obj < $goal) { |
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$going_up = true; |
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} |
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if ($aux_obj > $goal) { |
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$going_up = false; |
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} |
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if ($slope == -1) { |
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$going_up = !$going_up; |
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} |
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if ($going_up) { |
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if ($lock_min['num'] !== null && $aux_obj_num < $lock_min['num']) { |
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$lock_max['num'] = $lock_min['num']; |
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$lock_max['goal'] = $lock_min['goal']; |
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} |
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$lock_min['num'] = $aux_obj_num; |
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$lock_min['goal'] = $aux_obj; |
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} |
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if (!$going_up) { |
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if ($lock_max['num'] !== null && $lock_max['num'] < $aux_obj_num) { |
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$lock_min['num'] = $lock_max['num']; |
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$lock_min['goal'] = $lock_max['goal']; |
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} |
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$lock_max['num'] = $aux_obj_num; |
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$lock_max['goal'] = $aux_obj; |
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} |
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return [$lock_min, $lock_max]; |
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} |
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/** |
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* @param $lockMinNum |
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* @param $lockMaxNum |
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* @param $start_from |
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* @param $incremental_modifier |
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* @return float|int|mixed |
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*/ |
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private function getAuxObjNum($lockMinNum, $lockMaxNum, $start_from, $incremental_modifier) |
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{ |
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$aux_obj_num = null; |
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if ($lockMinNum === null && $lockMaxNum === null) { |
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$aux_obj_num = $start_from; |
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} //Lower limit found, searching higher limit with * 10 |
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elseif ($lockMinNum !== null && $lockMaxNum === null) { |
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if ($lockMinNum == $start_from) { |
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$aux_obj_num = 1; |
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} else { |
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$aux_obj_num = $lockMinNum * (10 / $incremental_modifier); |
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} |
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} //Higher limit found, searching lower limit with * -10 |
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elseif ($lockMinNum === null && $lockMaxNum !== null) { |
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if ($lockMaxNum == $start_from) { |
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$aux_obj_num = -1; |
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} else { |
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$aux_obj_num = $lockMaxNum * (10 / $incremental_modifier); |
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} |
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} //I have both limits, searching between them without decimals |
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elseif ($lockMinNum !== null && $lockMaxNum !== null) { |
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$aux_obj_num = round(($lockMinNum + $lockMaxNum) / 2); |
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} |
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return $aux_obj_num; |
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} |
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/** |
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* @param int $max_loops_round |
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*/ |
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private function checkLimitRestriction(int $max_loops_round): void |
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{ |
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if ($max_loops_round > 100) { |
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throw new GoalNeverReached(); |
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} |
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} |
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} |
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