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An Intelligent Selection and Representation Method of Significant Digits of Significant Figure Operation Results

A technology of calculation results and significant figures, applied in the field of physical experiments, can solve problems such as poor applicability and unfavorable handling, and achieve good applicability

Active Publication Date: 2016-07-06
ZHEJIANG UNIV OF TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0003] In order to overcome the shortcomings of manual selection of effective digits in the effective digit calculation results in existing physical experiments, which is not conducive to processing massive data, random digits, and poor applicability, the present invention provides an intelligent selection, effective Applicable to the processing of massive data, occasions where the number of digits is random, and the intelligent selection and representation of the effective digits of the effective digit operation results with good applicability

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  • An Intelligent Selection and Representation Method of Significant Digits of Significant Figure Operation Results
  • An Intelligent Selection and Representation Method of Significant Digits of Significant Figure Operation Results
  • An Intelligent Selection and Representation Method of Significant Digits of Significant Figure Operation Results

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Embodiment Construction

[0020] The present invention will be further described below in conjunction with the accompanying drawings.

[0021] refer to Figure 1 to Figure 8 The effective digits of the operation results of physical experiment data are related to the effective digits of the operation data and the type of operation. After the number of effective digits of the operation results is determined, the last digit of the effective digit and only the last digit is the suspicious digit or error digit. The value of the suspect digit is determined by the rounding rules of the rounding spouse.

[0022] (1) Addition and subtraction

[0023] The last digit of the result of addition and subtraction is the same as the suspicious digit that appears first (the highest number of digits) in the data of addition and subtraction, for example: 213.26+16.8≈230.1. Among them, the suspicious digit of the operation data "213.26" is the second digit after the decimal point, while the suspicious digit of "16.8" is ...

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Abstract

A method for intelligently selecting and representing effective digits of effective digit calculation results, searching for each character in a numerical calculation formula from left to right, using "+" or "-" as a breakpoint to obtain addition and subtraction items, and "* " or " / " as a breakpoint to obtain the multiplication and division items in each addition and subtraction item, and use "^" as a breakpoint to obtain the power bottom item in each multiplication and division item. Perform trigonometric functions and logarithmic operations first, select the effective digits of the operation results, and replace the original trigonometric or logarithmic expressions with the selected results. Count the effective digits of multiplication and division data and exponentiation data in each addition and subtraction item, and the least number of digits is the effective digits of the result of these data multiplication and division exponentiation operations. Unify the exponential form of scientific notation for each addition and subtraction data, count the error bits of each data, and obtain the error bits of the effective figures. The invention adopts intelligent selection, is effectively applicable to the occasions of processing massive data and random digits, and has good applicability.

Description

Technical field: [0001] The invention relates to the field of physical experiments, in particular to a method for selecting and expressing effective digits of effective digit operation results in physical experiments. Background technique: [0002] The selection of the number of effective digits in the calculation results of physical experiment data is an important link in the processing of physical experiment data. At present, the method of selecting the effective digits of the calculation results of physical experiment data usually adopts the method of manual selection, that is, manual selection, or artificially setting the number of digits of the calculation results in the computer data processing system (embedded in the program or in the system) input on the interface), the computer automatically selects the result of the operation according to the number of digits and the rules of rounding to five spouses (such as the function of selecting the number of significant digi...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F7/10
Inventor 陈鲤江吴姚鑫景程
Owner ZHEJIANG UNIV OF TECH
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