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The norm of a vector with complex entries is NaN when evaluated and wrong when simplified #2423
Description
The norm of a vector with complex entries is wrong one way and NaN the other. Measured on master bbf56b5:
| gives | should be | |
|---|---|---|
"abs([1 + i, 2])".ToEntity().Evaled |
NaN |
sqrt(6) |
"abs([3, 4])".ToEntity().Evaled |
5 |
5 |
"abs([x, y])".Simplify() |
sqrt(x ^ 2 + y ^ 2) |
sqrt(abs(x) ^ 2 + abs(y) ^ 2) |
NaNclaims the norm does not exist, but every vector has one.sqrt(x^2 + y^2)is the norm only for real x and y. At x = i, y = 0 it gives 0 where the norm is 1.- Compiled over
Complex,abs([x, y])gives the wrong value at a complex point; overdoubleit is right.
Found while measuring matrix compilation; no other issue covers it.
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