近似有理算术与任意精度计算
Approximate rational arithmetics and arbitrary precision computations
AI总结：
本文提出一种用户可控误差的近似有理算术，基于连分数展开进行舍入，并通过实验比较不同算术与舍入方法的效率与精度。
摘要：
我们描述了一种近似有理算术，其舍入误差（包括绝对误差和相对误差）由用户控制。舍入过程基于实数的连分数展开。给出了计算机实验结果，以比较不同类型的近似算术和舍入过程的效率与准确性。
英文摘要：
We describe an approximate rational arithmetic with round-off errors (both absolute and relative) controlled by the user. The rounding procedure is based on the continued fraction expansion of real numbers. Results of computer experiments are given in order to compare efficiency and accuracy of different types of approximate arithmetics and rounding procedures.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
