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I'd not expect perl to return exactly zero to sin(pi) and I don't get it, but 1.22464679914735e16
The reliance on the sine and cosine trig functions can be seen at https://www.math.toronto.edu/mathnet/questionCorner/complexexp.html. For the case under consideration in this thread, the imaginary component should be sin(3.1415926535897931 * log(2.7182818284590451)) log(2.7182818284590451) is calculated to be exactly 1 and, as already noted, sin(3.1415926535897931) is calculated to be 1.2246467991473532e16. I don't know how the MPC library is coming up with 2.8954204500590832e16, but I'm about to ask them about that, and I'll update this post when I get the answer. UPDATE: I've changed my mind  the value returned for these inputs is very sensitive to minute changes in the evaluation of those inputs. For example: I don't see much point in investigating further when such a minute alteration to the arguments can make such a large relative difference, especially when we consider that the absolute difference is so minute. Cheers, Rob In reply to Re^5: Euler's identity in Raku
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