05-19-2016
Sorry about that, ubuntu uses mawk by default these days as it's faster.
It should work with nearly any version of GNU awk. It even works with busybox's minimal awk. But mawk lacks -e, annoyingly.
You can work around that by just adding the lines to the file as noted above.
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CTANH(3) BSD Library Functions Manual CTANH(3)
NAME
ctanh -- complex hyperbolic tangent function
SYNOPSIS
double complex
ctanh(double complex z);
long double complex
ctanhl(long double complex z);
float complex
ctanhf(float complex z);
DESCRIPTION
ctanh(z) computes the hyperbolic tangent of the complex floating-point number z.
For all complex floating point numbers z,
ctanh(conj(z)) = conj(ctanh(z)),
ctanh(-z) = -ctanh(z).
SPECIAL VALUES
The symmetries of ctanh() are used to abbreviate the specification of special values.
ctanh(0 + 0i) returns 0 + 0i.
ctanh(0 + inf i) returns NaN + NaN i, and raises the invalid flag.
ctanh(0 + NaN i) returns NaN + NaN i.
ctanh(x + inf i) returns NaN + NaN i, and raises the invalid flag, for finite nonzero x.
ctanh(x + NaN i) returns NaN + NaN i, for finite nonzero x.
ctanh(inf + 0i) returns 1 + 0i.
ctanh(inf + yi) returns 1 +- 0i, for finite positive y, with the sign chosen to match the sign of sin(2y).
ctanh(inf + inf i) returns 1 + 0i.
ctanh(inf + NaN i) returns 1 + 0i.
ctanh(NaN + 0i) returns NaN + 0i.
ctanh(NaN + yi) returns NaN + NaN i, for nonzero numbers y.
ctanh(NaN + NaN i) returns NaN + NaN i.
NOTES
SEE ALSO
ctan(3) complex(3)
STANDARDS
The ctanh() function conforms to ISO/IEC 9899:2011.
4th Berkeley Distribution December 11, 2006 4th Berkeley Distribution