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As per C11 DR#471, ctanh (0 + i NaN) and ctanh (0 + i Inf) should return 0 + i NaN (with "invalid" exception in the second case). This has corresponding implications for ctan(z), as its errors and special cases are handled as if the operation is implemented by -i*ctanh(i*z). This patch fixes cmath's code to do same. Glibs patch: https://sourceware.org/git/?p=glibc.git;a=commitdiff;h=d15e83c5f5231d971472b5ffc9219d54056ca0f1