Fredrik Johansson <fredrik.johans...@gmail.com> added the comment:
I can think of two reasons to extend floor() and ceil() to complex numbers, and they lead to different extensions. The first is as a way to map complex numbers to nearby Gaussian integers by defining floor(z) = floor(z.real) + floor(z.imag)*1j, etc. Definition in mpmath borrowed from Mathematica. Conceivably handy for data quantization, or discrete plane geometry... but I honestly never used it myself and can't remember ever seeing it used. The second is to extend piecewise analytic functions on R to piecewise holomorphic functions on C so that the real analytic segments extend to complex analytic neighborhoods, most easily achieved by defining floor(z) = floor(z.real). This one I've actually had use for (think complex step differentiation, contour integration), but it's a bit esoteric. My opinion? If a Python user calls floor() and ceil() with a complex input, it's probably because of a bug in their code, and TypeError is appropriate. It's a one-line lambda to define your own complex extension if you really need it. On the other hand: if it exists, someone will eventually find a way to use it for code golf ;-) ---------- nosy: +fredrikj _______________________________________ Python tracker <rep...@bugs.python.org> <https://bugs.python.org/issue36228> _______________________________________ _______________________________________________ Python-bugs-list mailing list Unsubscribe: https://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
