Dynamic tolerance setup method based on scan line arithmetic
A scanning line and tolerance technology, which is applied in the field of scanning line algorithm, can solve problems such as great difference in numerical range, inability to avoid errors, and inability to guarantee correctness, so as to achieve the effect of ensuring correct implementation, ensuring correctness, and accurate geographic information
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[0021] Regarding the method of error analysis, the actual situation of scientific calculation is complicated. Each calculation will generate new rounding errors and propagate the existing errors in previous steps, and the number of calculations is often very large, often tens of millions. It is not advisable to simply estimate the monotonous growth, because the error bounds obtained in that way will be far beyond the actual situation, and even completely cover up the useful results. In practical applications, the actual error should be much smaller due to the rounding off in multiple calculations.
[0022] The error transfers of multiple operations are independent of each other, and it is impossible to obtain extreme values at the same time, so an optimistic approach should be used for error analysis. According to the "3σ principle" of normal distribution, the cumulative error of n operations is guaranteed with 99.97% probability:
[0023] | ...
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