python微信红包分配
PHP切割整数工具类似微信红包金额分配的思路详解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。
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<?php namespace 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:
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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 ); 猜您喜欢
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