Floating point numeric problem

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I encounter a problem which I cannot understand.
a = 1.228269:0.000001:1.22828;
b = 1.228265:0.000001:1.22828;
ismember(a,b)
>> ismember(a,b)
ans =
1×12 logical array
0 1 0 1 1 1 1 1 1 1 1 1
It is clearly to see that the logical array is not compatible with the values in vectors a and b. An expert has suggested that this has to do with the floating point numerics, do anyone can explain what happened to this example and how to we circumvent it ? Thanks a lot !

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Star Strider
Star Strider 2016-12-9
What happened is best explained in: Why is 0.3 - 0.2 - 0.1 (or similar) not equal to zero?
You can circumvent it using the ismembertol function (in R2015a and later versions).
  4 个评论
Qian Feng
Qian Feng 2016-12-17
Thanks for the exposition here.

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