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PHP切割整数工具类似微信红包金额分配的思路详解

2020-09-08 07:29:44 来源:易采站长站 作者:

PHP切割整数工具类似微信红包金额分配的思路详解,权重,最小,额度,精度,分配

PHP切割整数工具类似微信红包金额分配的思路详解

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 Composer地址:https://packagist.org/packages/werbenhu/php-number-slicing

GitHub地址:https://github.com/werbenhu/php-number-slicing

主要代码:NumberSlicing.php

思路:将数字按精度放大倍数,比如切割数字1,切割的份数是10,精度是0.01,则将1放大100 X 10倍,然后再来对加了1000倍权重后的值进行切割。切割完成之后,再将权重去除,保证总值是1。

<?phpnamespace Werben\Tools;use Exception;class NumberSlicing { /**  * 精确小数点,舍弃最后一位之后的数据(非四舍五入)  * floor with precision  * @param $number 要精确的数  * @param $precision 精度,比如保留到0.01,则该值为2  * @return float|int  */ public static function floorWithPrecision($number, $precision) {  $power = pow(10, $precision);  $ret = floor($number * $power) * 1.0 / $power ;  return $ret; } /**  * 精确小数点,按四舍五入保留最后一位  * round with precision  * @param $number 要精确的数  * @param $precision 精度,比如保留到0.01,则该值为2  * @return float|int  */ public static function roundWithPrecision($number, $precision) {  $power = pow(10, $precision);  $ret = round($number * $power) * 1.0 / $power ;  return $ret; } /**  * 将数把权重放大,比如1,要按精度0.0001分配,则先将1乘以10000然后再来分配  * random the sum weights 加上权重之后,整个要切割的数的权重总值  * @param $weight_items 用来保留,随机分配的权重值  * @param $count 要切割的份数  * @param int $each_weight 加上权重之后,每一份平均的权重值  * @param int $min_weight 加上权重之后,最小额度的值  * @return float|int  */ public static function weightSlicing(&$weight_items, $count, $each_weight = 10, $min_weight = 3) {  $already_count = count($weight_items);  $cur_random_full_total = ($already_count + 1) * $each_weight;  $already_random_real_total = 0;  foreach ($weight_items as $value) {   $already_random_real_total += $value;  }  $cur_random_rest = $cur_random_full_total - $already_random_real_total;  if ($already_count == $count - 1) {   $cur_random_rate = $cur_random_rest;  } else {   $cur_random_rate_max = $cur_random_rest + $each_weight - $min_weight * 2;   $cur_random_rate = $min_weight + mt_rand(0, $cur_random_rate_max);  }  $weight_items[] = $cur_random_rate;  return $cur_random_rate; } /**  * slicing the number  * @param int $number  * @param int $size  * @param float $precision  * @param float $min  * @return array  * @throws Exception  */ public static function numberSlicing($number, $size, $precision = 0.01, $min = 0.01) {  if ($number * 1.0 / $size <= $min) {   throw new Exception('min number is bigger than the average value!');  }  if ($precision > 1) {   throw new Exception('precision can\'t bigger than 1!');  }  if ($min < $precision) {   throw new Exception('precision can\'t bigger than min!');  }  $weight_items = [];  $items = [];  //不加权重情况下,每一份的平均值  $each_weight = intval($number / $size);  if ($precision < 1) {   //如果精度是小数   if ($each_weight > 1) {    //如果平均值大于1,则最小额度则直接用min就可以了    //每一份的平均值乘以权重的值,比如精度为0.01,则每一份的平均值要乘以权重(100)    $each_weight = intval((1 / $precision) * $number / $size);    //最小数值也要乘以权重    $min_weight = intval(1 / $precision) * $min;   } else {    //如果平均值小于1,需要将平均值也乘以权重    $each_weight = intval(1 / $precision);    $min_weight = $each_weight * $size * $min / $number;   }   $precision_num = log10(1 / $precision);  } else {   //如果精度是整数(1)   $min_weight = $min;   $precision_num = 0;  }  $sum_item_number = 0.0;  $sum_weight = 0.0;  //先将整个数,随机按最小额度分配  for ($i = 0; $i < $size; $i++) {   $cur_weight = self::weightSlicing($weight_items, $size, $each_weight, $min_weight);   //将权重去除,换算回原先的比例   $rate = ($number * $cur_weight * 1.00) / ($size * $each_weight);   $rate = self::floorWithPrecision($rate, $precision_num);   $sum_item_number += $rate;   $sum_weight += $cur_weight;   $items[] = $rate;  }  //由于误差,随机分配后,还会遗留一些数没有完全分配完,则将剩下的数随机分配  if ($precision_num != 0) {   //如果是切割成小数   $rest = $number - $sum_item_number;   while ($rest - 0.00 > PHP_FLOAT_MIN) {    if ($rest / $min >= 1.0) {     //剩余的数大于min最小额度,则将每份最小额度随机分配     $random_index = mt_rand(0, $size - 1);     $items[$random_index] = self::roundWithPrecision($items[$random_index] + $min, $precision_num);     $sum_item_number = self::roundWithPrecision($sum_item_number + $min, $precision_num);     $rest = self::roundWithPrecision($number - $sum_item_number, $precision_num);    } else {     //剩余的数小于min最小额度,则将这最后的未分配的数随机分配     $random_index = mt_rand(0, $size - 1);     $items[$random_index] = self::roundWithPrecision($items[$random_index] + $number - $sum_item_number, $precision_num);     $sum_item_number = $number;     $rest = $number - $sum_item_number;    }   }  } else {   //如果是切割成整数   $rest = $number - $sum_item_number;   while ($rest > 0) {    if ($rest / $min >= 1) {     $random_index = mt_rand(0, $size - 1);     $items[$random_index] += $min;     $sum_item_number += $min;     $rest = $number - $sum_item_number;    } else {     $random_index = mt_rand(0, $size - 1);     $items[$random_index] += $rest;     $sum_item_number += $rest;     $rest = $number - $sum_item_number;    }   }  }  return $items; }}

  测试代码:

use Werben\Tools\NumberSlicing; function testIntSlicing2IntOne() { $precision = 1; //精确度 eg: 1, 0.1, 0.01, 0.01 $size = 10;   //切割的份数,the size of the number to slicing $min = 3;  //最小额度,最小额度必须大于最小精度,min amount eg: 3, 0.23, 0.05, 0.008 $number = 100;  //要切割的数字,the number $items = NumberSlicing::numberSlicing($number, $size, $precision, $min); $sum = 0.0; $ret_min = $number; foreach ($items as $value) {  $sum += $value;  if ($ret_min > $value) {   $ret_min = $value;  } } $count = count($items); echo "count: $count, sum: $sum, ret_min: $ret_min\n"; echo "items : ". json_encode($items) ."\n";}function testIntSlicing2IntTwo() { $precision = 1; //精确度 eg: 1, 0.1, 0.01, 0.01 $size = 30;   //切割的份数,the size of the number to slicing $min = 18666;  //最小额度,最小额度必须大于最小精度,min amount eg: 3, 0.23, 0.05, 0.008 $number = 800000;  //要切割的数字,the number $items = NumberSlicing::numberSlicing($number, $size, $precision, $min); $sum = 0.0; $ret_min = $number; foreach ($items as $value) {  $sum += $value;  if ($ret_min > $value) {   $ret_min = $value;  } } $count = count($items); echo "count: $count, sum: $sum, ret_min: $ret_min\n"; echo "items : ". json_encode($items) ."\n";}function testIntSlicing2FloatOne() { $precision = 0.01; //精确度 eg: 1, 0.1, 0.01, 0.01 $size = 1000;   //切割的份数,the size of the number to slicing $min = 0.05;  //最小额度,最小额度必须大于最小精度,min amount eg: 3, 0.23, 0.05, 0.008 $number = 100;  //要切割的数字,the number $items = NumberSlicing::numberSlicing($number, $size, $precision, $min); $sum = 0.0; $ret_min = $number; foreach ($items as $key => $value) {  $sum += $value;  if ($ret_min > $value) {   $ret_min = $value;  } } $count = count($items); echo "count: $count, sum: $sum, ret_min: $ret_min\n"; echo "items: ". json_encode($items) ."\n";}function testIntSlicing2FloatTwo() { $precision = 0.00001; //精确度 eg: 1, 0.1, 0.01, 0.01 $size = 1000;   //切割的份数,the size of the number to slicing $min = 0.00005;  //最小额度,最小额度必须大于最小精度,min amount eg: 3, 0.23, 0.05, 0.008 $number = 5;  //要切割的数字,the number $items = NumberSlicing::numberSlicing($number, $size, $precision, $min); $sum = 0.0; $ret_min = $number; foreach ($items as $key => $value) {  $sum += $value;  if ($ret_min > $value) {   $ret_min = $value;  } } $count = count($items); echo "count: $count, sum: $sum, ret_min: $ret_min\n"; echo "items: ". json_encode($items) ."\n";}

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