[GitHub] [echarts] maciej-flexcompute commented on issue #18437: Hope xAxis of Stack Line support value

["maciej-flexcompute (via GitHub)" <gi...@apache.org>]

maciej-flexcompute commented on issue #18437:
URL: https://github.com/apache/echarts/issues/18437#issuecomment-1529559347

   @helgasoft 
   
   Your example looks exactly like what I am looking for.
   
   > But in general case (interval are real numbers) this is not possible to find such interval.
   
   Here is the proof:
   
   > lets take `a`, `b` real numbers which represents intervals between points. We are looking for such interval `c` that `a = p * c` and `b = q * c` where `p, q` are whole numbers and they have no common factors. I will show that such interval `c` does not exist if `a=sqrt(2)` and `b=sqrt(3)`. We have respectively:
   > `sqrt(2) = p * c` and `sqrt(3) = q * c`. We have `sqrt(2) * q = sqrt(3) * p`. We can raise to power 2 both sides:
   > `2 * q^2 = 3* p^2`. We can see that left-hand side is even, thus, `p^2` must be even, thus `p` must be even, right-hand side is divisible by 4, thus `q^2` must be even, => q is even. We showed that both p and q are even which is in contradicts statement that `p, q` are whole numbers and they have no common factors. 
   
   Mathematically it is not possible, but numerically it is possible since we represent numbers double precision, so at least 1e-16 can work. And practically speaking human cannot visually distinguish ~1e-5.
   
   


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