game-sdk/simplewind/huolib/tool/Math.php

<?php
/**
 * Math.php  UTF-8
 * 数字处理类
 *
 * @date    : 2018/1/6 16:52
 *
 * @license 这不是一个自由软件，未经授权不许任何使用和传播。
 * @author  : guxiannong <gxn@huosdk.com>
 * @version : HUOSDK 8.0
 */

namespace huolib\tool;
class Math {
    const DIV_N = 15;

    /**
     * 进一法强制保留两位小数
     *
     * @param $num
     *
     * @return mixed|string
     */
    public static function showFloatTwoMax($num) {
        return self::accMul(ceil(self::accMul($num, 100)), 0.01);
    }

    /**
     * 两数相加
     *
     * @param     $a
     * @param     $b
     *
     * @param int $decimals 保留小数位
     *
     * @return string
     */
    public static function addNum($a, $b, $decimals = 2) {
        if (!$decimals) {
            $decimals = 2;
        }
        $_n = self::getMaxPoint($a, $b, $decimals);

        return number_format((number_format($a, $_n, '.', '') + number_format($b, $_n, '.', '')), $decimals, '.', '');
    }

    /**
     * 两数相加 可正数、负数、小数
     *
     * @param $a
     * @param $b
     *
     * @return string
     */
    public static function addBigNum($a, $b) {
        $_first_a = substr($a, 0, 1);
        $_first_b = substr($b, 0, 1);
        if ('-' == $_first_a && '-' == $_first_b) {
            return '-'.self::realBigNum(substr($a, 1), substr($b, 1));
        } else if ('-' == $_first_a && $_first_b != '-') {
            return self::addBigMic($b, substr($a, 1));
        } else if ('-' == $_first_b && $_first_a != '-') {
            return self::addBigMic($a, substr($b, 1));
        } else if ('-' != $_first_b && $_first_a != '-') {
            return self::realBigNum($a, $b);
        }
    }

    /**
     * 两个大数相加 可带小数
     *
     * @param $a
     * @param $b
     *
     * @return string
     */
    public static function realBigNum($a, $b) {
        $_la = '';
        $_la_l = 0;
        if (strpos($a, '.')) {
            $_arr_a = explode('.', $a);
            if (isset($_arr_a[1])) {
                $_la_l = strlen($_arr_a[1]);
                $_la = $_arr_a[1];
            }
            $_la_n = $_arr_a[0];
        } else {
            $_la_n = $a;
            $_la = '';
            $_la_l = 0;
        }
        $_lb = '';
        $_lb_l = 0;
        if (strpos($b, '.')) {
            $_arr_b = explode('.', $b);
            if (isset($_arr_b[1])) {
                $_lb_l = strlen($_arr_b[1]);
                $_lb = $_arr_b[1];
            }
            $_lb_n = $_arr_b[0];
        } else {
            $_lb_n = $b;
            $_lb = '';
            $_lb_l = 0;
        }
        /* 整数相加 */
        $_lr_n = self::realAdd($_la_n, $_lb_n);
        /* 小数同位 */
        if ($_la_l && $_lb_l) {
            if ($_la_l > $_lb_l) {
                $_lb = str_pad($_lb, $_la_l, '0', STR_PAD_RIGHT);
            } elseif ($_lb_l > $_la_l) {
                $_la = str_pad($_la, $_lb_l, '0', STR_PAD_RIGHT);
            }
            $_lr_low = self::realAdd($_la, $_lb);
            $_lr_long = strlen($_lr_low);
            $_lr_a = strlen($_la);
            if ($_lr_long > $_lr_a) {
                $_real_low = substr($_lr_low, $_lr_long - $_lr_a);
                $_real_low_n = substr($_lr_low, 0, $_lr_long - $_lr_a);
                $_real_n = self::realAdd($_lr_n, $_real_low_n);

                return $_real_n.'.'.$_real_low;
            }

            return $_lr_n.'.'.$_lr_low;
        } elseif ($_la_l && !$_lb_l) {
            return $_lr_n.'.'.$_la;
        } elseif ($_lb_l && !$_la_l) {
            return $_lr_n.'.'.$_lb;
        } elseif (!$_lb_l && !$_la_l) {
            return $_lr_n;
        }
    }

    /**
     * 两个大数相减 过滤首尾无用0
     *
     * @param $a
     * @param $b
     *
     * @return string
     */
    public static function addBigMic($a, $b) {
        $_re = self::realBigMic($a, $b);
        if (strpos($_re, '-') === 0) {
            $_return_str = ltrim(substr($_re, 1), '0');
            if (strpos($_re, '.') === 0) {
                return '-0'.rtrim($_return_str);
            } else {
                return '-'.$_return_str;
            }
        }
        $_return_str = ltrim($_re, '0');
        if (strpos($_return_str, '.') === 0) {
            return '0'.rtrim($_return_str);
        } else {
            return $_return_str;
        }
    }

    /**
     * 两个大数相减 保留首尾无用0
     *
     * @param $a
     * @param $b
     *
     * @return string
     */
    public static function realBigMic($a, $b) {
        $_la = '';
        $_la_l = 0;
        if (strpos($a, '.')) {
            $_arr_a = explode('.', $a);
            if (isset($_arr_a[1])) {
                $_la_l = strlen($_arr_a[1]);
                $_la = $_arr_a[1];
            }
            $_la_n = $_arr_a[0];
        } else {
            $_la_n = $a;
            $_la = '';
            $_la_l = 0;
        }
        $_lb = '';
        $_lb_l = 0;
        if (strpos($b, '.')) {
            $_arr_b = explode('.', $b);
            if (isset($_arr_b[1])) {
                $_lb_l = strlen($_arr_b[1]);
                $_lb = $_arr_b[1];
            }
            $_lb_n = $_arr_b[0];
        } else {
            $_lb_n = $b;
            $_lb = '';
            $_lb_l = 0;
        }
        /* 整数相减 */
        $_lr_n = self::realMic($_la_n, $_lb_n);
        /* 小数同位 */
        if ($_la_l && $_lb_l) {
            if ($_la_l > $_lb_l) {
                $_lb = str_pad($_lb, $_la_l, '0', STR_PAD_RIGHT);
            } elseif ($_lb_l > $_la_l) {
                $_la = str_pad($_la, $_lb_l, '0', STR_PAD_RIGHT);
            }
            $_lr_low = self::realMic($_la, $_lb);
            $_lr_long = strlen($_lr_low);
            $_lr_a = strlen($_la);
            if ($_lr_long > $_lr_a) {
                $_real_low = substr($_lr_low, $_lr_long - $_lr_a);
                $_real_n = self::realMic($_lr_n, 1);

                return $_real_n.'.'.$_real_low;
            }

            return $_lr_n.'.'.$_lr_low;
        } elseif ($_la_l && !$_lb_l) {
            return $_lr_n.'.'.$_la;
        } elseif ($_lb_l && !$_la_l) {
            return $_lr_n.'.'.$_lb;
        } elseif (!$_lb_l && !$_la_l) {
            return $_lr_n;
        }
    }

    /**
     * 两数相加
     *
     * @param $a
     * @param $b
     *
     * @return string
     */
    public static function realAdd($a, $b) {
        $a_str = $a.'';
        $b_str = $b.'';
        $m = strlen($a_str);
        $n = strlen($b_str);
        $num = $m > $n ? $m : $n;
        $result = '';
        $flag = 0;
        while ($num--) {
            $t1 = 0;
            $t2 = 0;
            if ($m > 0) {
                $t1 = $a_str[--$m];
            }
            if ($n > 0) {
                $t2 = $b_str[--$n];
            }
            $t = $t1 + $t2 + $flag;
            if ($t > 9) {
                $flag = 1;
                $t = $t - 10;
            } else {
                $flag = 0;
            }
            $result = $t.$result;
        }
        if ($flag) {
            $result = $flag.$result;
        }

        return $result;
    }

    /**
     * 两数相减
     *
     * @param $a
     * @param $b
     *
     * @return string
     */
    public static function realMic($a, $b) {
        $a_str = $a.'';
        $b_str = $b.'';
        $m = strlen($a_str);
        $n = strlen($b_str);
        if ($m < $n) {
            $_need_flag = true;
            $a_str = $b.'';
            $_rm = $m;
            $m = $n;
            $n = $_rm;
            unset($_rm);
            $b_str = $a.'';
        } else {
            $_need_flag = false;
        }
        $num = $m > $n ? $m : $n;
        $result = '';
        $flag = 0;
        while ($num--) {
            $t1 = 0;
            $t2 = 0;
            if ($m > 0) {
                $t1 = $a_str[--$m];
            }
            if ($n > 0) {
                $t2 = $b_str[--$n];
            }
            $_mt = $t2 + $flag;
            if ($t1 < $_mt) {
                $t = $t1 + 10 - $_mt;
                $flag = 1;
            } else {
                $t = $t1 - $_mt;
                $flag = 0;
            }
            $result = $t.$result;
        }
        if ($flag) {
            $result = '-'.$result;
        }
        if ($_need_flag) {
            $result = '-'.$result;
        }

        return $result;
    }

    /**
     * 获取指定位数的随机数字
     *
     * @param int  $num        位数
     * @param bool $first_zero 是否首位不为零
     *
     * @return string
     */
    public static function getRandNum($num = 1, $first_zero = false) {
        if (empty($num)) {
            return 0;
        }
        $return_str = '';
        for ($i = 0; $i < $num; $i++) {
            if ($i == 0 && $first_zero) {
                $return_str .= mt_rand(1, 9);
            } else {
                $return_str .= mt_rand(0, 9);
            }
        }

        return $return_str;
    }

    /**
     * 获取随机手机号码
     *
     * @return string
     */
    public static function getRandMobile() {
        return '1'.self::getRandNum(10, true);
    }

    /**
     * 获取随机时间
     *
     * @param int $before 时间上限
     * @param int $after  时间下限
     *
     * @return false|string
     */
    public static function getRandTime($before = 0, $after = 0) {
        if (empty($before) && empty($after)) {
            /* 随机0到rand_Max位数的随机数 */
            return date('Y-m-d H:i:s', self::getRandNum(mt_rand(0, 20)));
        } else {
            if ($before - $after > 1) {
                return date('Y-m-d H:i:s', $after + intval(mt_rand(0, $before - $after - 1)));
            } else {
                if ($before > $after) {
                    return date('Y-m-d H:i:s', mt_rand($after, $before));
                } else {
                    return date('Y-m-d H:i:s');
                }
            }
        }
    }

    /**
     * 获取两数最大的小数点位数
     *
     * @param     $a
     * @param     $b
     * @param int $n 默认位数
     *
     * @return int
     */
    public static function getMaxPoint($a, $b, $n = 2) {
        $_n = $n;
        if (strpos($a, '.') || strpos($b, '.')) {
            $_al = self::getNumPoint($a);
            if ($_al > $_n) {
                $_n = $_al;
            }
            $_bl = self::getNumPoint($b);
            if ($_bl > $_n) {
                $_n = $_bl;
            }
        }

        return $_n;
    }

    /**
     * 获取一个数的小数位数
     *
     * @param $a
     *
     * @return int
     */
    public static function getNumPoint($a) {
        if (strpos($a, '.')) {
            $_arr_a = explode('.', $a);
            if (isset($_arr_a[1])) {
                return strlen($_arr_a[1]);
            }
        }

        return 0;
    }

    /**
     * 两数相减
     *
     * @param     $a
     * @param     $b
     *
     * @param int $decimals 保留位数
     *
     * @return string
     */
    public static function addMic($a, $b, $decimals = 2) {
        if (!$decimals) {
            $decimals = 2;
        }
        $_n = self::getMaxPoint($a, $b, $decimals);

        return number_format((number_format($a, $_n, '.', '') - number_format($b, $_n, '.', '')), $decimals, '.', '');
    }

    /**
     * 两个数精确相乘  小学生算法
     *
     * @param $strA
     * @param $strB
     *
     * @return mixed|string
     */
    public static function accMul($strA, $strB) {
        $m = 0;
        $_al = self::getNumPoint($strA);
        $A = $strA;
        if ($_al) {
            $m = $m + $_al;
            $A = str_replace('.', '', $strA);
        }
        $B = $strB;
        $_bl = self::getNumPoint($strB);
        if ($_bl) {
            $m = $m + $_bl;
            $B = str_replace('.', '', $strB);
        }
        $sResult = "";
        //反转字符串
        $A = strrev($A);
        $B = strrev($B);
        $_a_len = strlen($A);
        $_b_len = strlen($B);
        $_ab_len = $_a_len + $_b_len;
        //建立temp变量
        $flag = array();
        for ($i = 0; $i < ($_ab_len + 1); $i++) {
            $flag[$i] = "0";
        }
        //依次相乘叠加
        for ($i = 0; $i < $_a_len; $i++) {
            for ($j = 0; $j < $_b_len; $j++) {
                $flag[$i + $j] = $flag[$i + $j] + (intval($A[$i]) * intval($B[$j])) % 10;
                $flag[$i + $j + 1] = $flag[$i + $j + 1] + (int)((intval($A[$i]) * intval($B[$j])) / 10);
            }
        }
        //再次相乘叠加
        for ($i = 0; $i < count($flag) - 1; $i++) {
            $flag[$i + 1] = $flag[$i + 1] + (int)(intval($flag[$i]) / 10);
            $flag[$i] = intval($flag[$i]) % 10;
        }
        //去除高位无用的0；
        $mark = 0;
        for ($i = count($flag) - 1; $i >= 0; $i--) {
            if ($flag[$i] != 0 && $mark == 0) {
                $mark = $i;
            }
            if ($mark != 0) {
                $sResult = $sResult.$flag[$i];
            }
        }
        if ($sResult == '' && $flag[0] != '') {
            $sResult = $flag[0];
        }
        if ($m) {
            $rel = strlen($sResult);
            if ($m < $rel) {
                return substr($sResult, 0, $rel - $m).'.'.substr($sResult, -$m);
            } else {
                if ($m == $rel) {
                    return '0.'.$sResult;
                } else {
                    $re = '0.';
                    for ($i = 0; $i < $m - $rel; $i++) {
                        $re .= '0';
                    }

                    return $re.$sResult;
                }
            }
        } else {
            return $sResult;
        }
    }

    /**
     * 高精度除法 php 自带
     *
     * @param     $a
     * @param     $b
     * @param int $n
     *$a=bcdiv("111111111111111111","1");
     *
     * @return string
     */
    public static function divNum($a, $b, $n = 3) {
        return bcdiv($a, $b, $n);
    }

    /**
     * 任意精度除法  a/b 保留n 位小数  用php bcdiv方法
     *
     * @param $a
     * @param $b
     * @param $n
     *
     * @return string
     */
    public static function phpDivNum($a, $b, $n = 0) {
        if (!$n) {
            $n = self::DIV_N;
        }
        $_str_a = $a.'';
        $_str_b = $b.'';
        /* 先计算符号 */
        $_a_one = substr($a, 0, 1);
        $_b_one = substr($b, 0, 1);
        $_need_flag = false;
        if ('-' == $_a_one && '-' == $_b_one) {
            $_str_a = substr($a, 1);
            $_str_b = substr($b, 1);
            $b = $_str_b;
            $a = $_str_a;
        } elseif ('-' == $_a_one && '-' != $_b_one) {
            $_str_a = substr($a, 1);
            $a = $_str_a;
            $_need_flag = true;
        } elseif ('-' != $_a_one && '-' == $_b_one) {
            $_str_b = substr($b, 1);
            $b = $_str_b;
            $_need_flag = true;
        } elseif ('-' != $_a_one && '-' != $_b_one) {
        }
        /* 先计算符号 */
        /* 对齐小数点同时去掉小数点 start */
        $_an = self::getNumPoint($a);
        $_bn = self::getNumPoint($b);
        if ($_an > $_bn) {
            $_point_str_l = strlen($_str_b) + $_an - $_bn;
            $_str_b = str_pad($_str_b, $_point_str_l, '0', STR_PAD_RIGHT);
            if ($_an > $n) {
                $n = $_an + 1;
            }
        } elseif ($_bn > $_an) {
            $_point_str_l = strlen($_str_a) + $_bn - $_an;
            $_str_a = str_pad($_str_a, $_point_str_l, '0', STR_PAD_RIGHT);
            if ($_bn > $n) {
                $n = $_bn + 1;
            }
        }
        $_str_b = str_replace('.', '', $_str_b);
        $_str_a = str_replace('.', '', $_str_a);
        /* 对齐小数点同时去掉小数点 end */
        $_do_a = str_pad($_str_a, strlen($_str_a) + $n, '0', STR_PAD_RIGHT);
        $return_str = self::realDivNum($_do_a, $_str_b, $n);
        $_re_z = str_pad('0.', 1 + $n, '0', STR_PAD_RIGHT).'1';
        if ($_need_flag) {
            return '-'.self::accMul($return_str, $_re_z);
        } else {
            return self::accMul($return_str, $_re_z);
        }
    }

    /**
     * 用php函数计算两数相除精确到 n 个位
     *
     * @param     $a
     * @param     $b
     * @param int $n
     *
     * @return string
     */
    public static function realDivNum($a, $b, $n = 0) {
        if (!$n) {
            $n = self::DIV_N;
        }

        return self::divNum($a, $b, $n);
    }

    /**
     * 用自己写的小生除法进行计算两个数相除 保留$n 位小数
     *
     * @param     $a
     * @param     $b
     * @param int $n
     *
     * @return mixed|string
     */
    public static function bigDivNum($a, $b, $n = 0) {
        $_str_a = $a.'';
        $_str_b = $b.'';
        if (!$n) {
            $_n = self::DIV_N;
        } else {
            $_n = $n + 1;
        }
        /* 先计算符号 */
        $_a_one = substr($a, 0, 1);
        $_b_one = substr($b, 0, 1);
        $_need_flag = false;
        if ('-' == $_a_one && '-' == $_b_one) {
            $_str_a = substr($a, 1);
            $_str_b = substr($b, 1);
            $b = $_str_b;
            $a = $_str_a;
        } elseif ('-' == $_a_one && '-' != $_b_one) {
            $_str_a = substr($a, 1);
            $a = $_str_a;
            $_need_flag = true;
        } elseif ('-' != $_a_one && '-' == $_b_one) {
            $_str_b = substr($b, 1);
            $b = $_str_b;
            $_need_flag = true;
        } elseif ('-' != $_a_one && '-' != $_b_one) {
        }
        /* 先计算符号 */
        /* 对齐小数点同时去掉小数点 start */
        $_an = self::getNumPoint($a);
        $_bn = self::getNumPoint($b);
        if ($_an > $_bn) {
            $_point_str_l = strlen($_str_b) + $_an - $_bn;
            $_str_b = str_pad($_str_b, $_point_str_l, '0', STR_PAD_RIGHT);
            if ($_an > $_n) {
                $_n = $_an + 1;
            }
        } elseif ($_bn > $_an) {
            $_point_str_l = strlen($_str_a) + $_bn - $_an;
            $_str_a = str_pad($_str_a, $_point_str_l, '0', STR_PAD_RIGHT);
            if ($_bn > $_n) {
                $_n = $_bn + 1;
            }
        }
        $_str_b = str_replace('.', '', $_str_b);
        $_str_a = str_replace('.', '', $_str_a);
        /* 对齐小数点同时去掉小数点 end */
        $_do_a = str_pad($_str_a, strlen($_str_a) + $_n, '0', STR_PAD_RIGHT);
        $return_arr = self::getDevFist($_do_a, $_str_b, $_n);
        $_re_z = str_pad('0.', 1 + $_n, '0', STR_PAD_RIGHT).'1';
        if ($_need_flag) {
            return '-'.self::accMul($return_arr['q'], $_re_z);
        } else {
            return self::accMul($return_arr['q'], $_re_z);
        }
    }

    /**
     * 两数相除
     * 获得 商和余数
     *  remainder 余数  quotient 商
     *
     * @param     $a
     * @param     $b
     *
     * @param int $n
     *
     * @return array
     */
    public static function getDevFist($a, $b, $n = 0) {
        $_n = $n + 1;
        $_str_la = strlen($a);
        $_str_lb = strlen($b);
        if (!($_str_la > $_str_lb)) {/* $a的位数大于 $b的位数 商0 余数为a  */
            return array(
                'q' => '0',
                'r' => $a,
            );
        }
        $_mir = $_str_la - $_str_lb;
        if ($_mir < 2) {
            return self::getDevRealFist($a, $b);
        } else {
            $_str_a = $a;
            $_str_b = $b;
            $_r = str_pad('1', $_mir, '0', STR_PAD_RIGHT);
            $_new_b = self::accMul($_str_b, $_r);
            $_r_r_arr = self::getDevRealFist($_str_a, $_new_b); /* 取得第一位商 */
            $_result = self::accMul($_r_r_arr['q'], $_r);
            $_result_r = $_r_r_arr['r'];
            $_rr_lr = strlen($_result_r);
            if (!($_rr_lr > 1)) {/* 没有余数 */
                return array(
                    'q' => $_result,
                    'r' => $_result_r,
                );
            }
            $_mir_r = $_rr_lr - $_str_lb;
            while ($_mir_r > 1 && ($_n > 0)) {
                $_r = str_pad('1', $_mir_r, '0', STR_PAD_RIGHT);
                $_new_b = self::accMul($b, $_r);
                $_r_r_arr = self::getDevRealFist($_result_r, $_new_b); /* 取得第一位商 */
                $_result = self::addBigNum($_result, self::accMul($_r_r_arr['q'], $_r));
                $_result_r = $_r_r_arr['r'];
                $_rr_lr = strlen($_result_r);
                if (!($_rr_lr > 1)) {/* 没有余数 */
                    return array(
                        'q' => $_result,
                        'r' => $_result_r,
                    );
                }
                $_mir_r = $_rr_lr - $_str_lb;
                $_n = $_n - 1;
            }
            $_return_rr = self::getDevRealFist($_result_r, $b);
            $_result = self::addBigNum($_result, $_return_rr['q']);

            return array(
                'q' => $_result,
                'r' => $_return_rr['r'],
            );
        }
    }

    /**
     * 获取位数差不大于两位的两数相除的商和余数
     *
     * @param $a 被除数
     * @param $b 除数
     *
     * @return array
     *   array(
     *  '
     * )
     */
    public static function getDevRealFist($a, $b) {
        $_str_la = strlen($a);
        $_str_lb = strlen($b);
        if ($_str_la < $_str_lb) {/* $a的位数大于 $b的位数 商0 余数为a  */
            return array(
                'q' => '0',
                'r' => $a,
            );
        }
        $_str_a = $a.'';
        $_str_b = $b.'';
        $_a_one = substr($_str_a, 0, 1);
        $_b_one = substr($_str_b, 0, 1);
        if ($_str_la == $_str_lb) {
            if ($_a_one < $_b_one) {
                return array(
                    'q' => '0',
                    'r' => $a,
                );
            } elseif ($_a_one == $_b_one) {
                $_q_test = self::addBigMic($_str_a, $_str_b);
                if ('-' == substr($_q_test, 0, 1)) {
                    return array(
                        'q' => '0',
                        'r' => $a,
                    );
                } else {
                    return array(
                        'q' => '1',
                        'r' => $_q_test,
                    );
                }
            } elseif ($_a_one > $_b_one) {
                $_q_test = floor($_a_one / $_b_one);
                if (1 == $_q_test) {
                    $_q_r = self::addBigMic($_str_a, $_str_b);

                    return array(
                        'q' => '1',
                        'r' => $_q_r,
                    );
                } else {
                    $_q_r = self::addBigMic($_str_a, self::accMul($_str_b, $_q_test));
                    while ('-' == substr($_q_r, 0, 1)) {
                        $_q_test = $_q_test - 1;
                        $_q_r = self::addBigMic($_str_a, self::accMul($_str_b, $_q_test));
                    }

                    return array(
                        'q' => $_q_test,
                        'r' => $_q_r,
                    );
                }
            }
        } elseif ($_str_la > $_str_lb) {
            $_min_r = $_str_la - $_str_lb;
            if (1 == $_min_r) {/* 被除数比除数多一位  */
                $_a_two = substr($_str_a, 0, 2);
                $_q_test = floor($_a_two / $_b_one);
                if (1 == $_q_test) {
                    $_q_r = self::addBigMic($_str_a, $_str_b);

                    return array(
                        'q' => '1',
                        'r' => $_q_r,
                    );
                } else {
                    $_q_r = self::addBigMic($_str_a, self::accMul($_str_b, $_q_test));
                    while ('-' == substr($_q_r, 0, 1)) {
                        $_q_test = $_q_test - 1;
                        $_q_r = self::addBigMic($_str_a, self::accMul($_str_b, $_q_test));
                    }

                    return array(
                        'q' => $_q_test,
                        'r' => $_q_r,
                    );
                }
            } else {/* 被除数比除数多两位以上 */
                return array(
                    'q' => 'error',
                    'r' => 'a比b多两位或2位以上',
                );
            }
        }
    }
}