ket($array = $class->init($goods, $wight), $prob, $alias); $result = $class->generation($array, $prob, $alias); if (!isset($goods[$result])) { return null; } return $goods[$result]; } /** * @param array $goods * @param string $wight * @return array */ protected function init(array $goods, string $wight): array { $defaultIndex = -1; $array = []; foreach ($goods as $key => $val) { if ($val[$wight] == 0) $defaultIndex = $key; $array[] = (float)$val[$wight]; } $total = array_sum($array); if ($total > 1) { $array = $this->reset($array, $total); $total = array_sum($array); } if (1 - $total !== floatval(0)) { if ($defaultIndex == -1) { $defaultIndex = count($goods); } $array[$defaultIndex] = 1 - array_sum($array); } return $array; } /** * @param array $data * @param float $total * @return array */ protected function reset(array $data, float $total): array { $length = $this->getMin($data); foreach ($data as $key => $val) { $data[$key] = ($val * $length - ($val * $length) / ($total * $length)) / $length; } return $data; } /** * @param $data * @param $prob * @param $alias * @return mixed */ private function generation($data, $prob, $alias): mixed { $nums = count($prob) - 1; $MAX_P = $this->getMin($data); // 假设最小的几率是万分之一 $coin_toss = mt_rand(1, $MAX_P) / $MAX_P; // 抛出硬币 $col = mt_rand(0, $nums); // 随机落在一列 $b_head = $coin_toss > $prob[$col]; // 判断是否落在原色 return $b_head ? $alias[$col] : $col; } /** * @param $num * @return int */ private function getMin($num): int { $length = $this->getFloatLength($this->mini($num)); return (int)sprintf('1%0' . $length . 'd', 0); } /** * @param $num * @return int|float */ protected function mini($num): int|float { $def = current($num); foreach ($num as $val) { if ($val < $def) { $def = $val; } } return $def; } /** * @param $float * @return int */ private function getFloatLength($float): int { $ex = explode('.', $float); return strlen(end($ex)); } /** * @param array $data * @param array $prob * @param array $alias */ private function ket(array $data, array &$prob, array &$alias): void { $nums = count($data); $small = $large = []; for ($i = 0; $i < $nums; ++$i) { $data[$i] = $data[$i] * $nums; // 扩大倍数,使每列高度可为1 /** 分到两个数组,便于组合 */ if ($data[$i] < 1) { $small[] = $i; } else { $large[] = $i; } } /** 将超过1的色块与原色拼凑成1 */ while (!empty($small) && !empty($large)) { $n_index = array_shift($small); $a_index = array_shift($large); $prob[$n_index] = $data[$n_index]; $alias[$n_index] = $a_index; // 重新调整大色块 $data[$a_index] = ($data[$a_index] + $data[$n_index]) - 1; if ($data[$a_index] < 1) { $small[] = $a_index; } else { $large[] = $a_index; } } /** 剩下大色块都设为1 */ while (!empty($large)) { $n_index = array_shift($large); $prob[$n_index] = 1; } /** 一般是精度问题才会执行这一步 */ while (!empty($small)) { $n_index = array_shift($small); $prob[$n_index] = 1; } } }