Exploring the ratio between the count of x/2 and the count of (3*x+1)/2 in original dynamics for extremely large starting integers asymptotically

We design a computer program that can randomly generate extremely large integers and output their original dynamics. The source code is txpo10b.c. The bit length of integers can be defined by Macro (named MAXLEN) in source code. The number of randomly generated integers can be set by inputting argument. The program can output the original dynamics of a starting integer in terms of “-” presenting (3*x+1)/2 and “0” presenting x/2. This data can be used for observing the relation between the count of “-” and the count of “0”. By analyzing outputting data, we discover that the ratio - the count of “-” over the count of “0” - is 1 asymptotically with the grow of starting integer.

本团队设计了一套计算机程序，该程序能够随机生成极其庞大的整数，并输出其原始动态。程序源代码为txpo10b.c。整数的比特长度可通过源代码中的宏定义（命名为MAXLEN）进行设定。随机生成整数的数量可通过输入参数进行配置。该程序能够根据初始整数的动态输出其原始状态，其中“-”代表（3*x+1）/2，“0”代表x/2。此类数据可用于观察“-”符号出现次数与“0”符号出现次数之间的关系。通过对输出数据的分析，我们发现随着起始整数的增长，负号与零号的比例渐近趋于1。