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Cider Isn't Darwin Emulation, Really
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1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071.\" Copyright (c) 2006 Apple Computer.\".Dd December 11, 2006.Dt CACOSH 3.Os BSD 4.Sh NAME.Nm cacosh.Nd complex inverse hyperbolic cosine function.Sh SYNOPSIS.Ft double complex.Fn cacosh "double complex z".Ft long double complex.Fn cacoshl "long double complex z".Ft float complex.Fn cacoshf "float complex z".Sh DESCRIPTION.Fn cacosh "z"computes the inverse hyperbolic cosine of the complex floating-point number.Fa z ,with a branch cut on the interval.Bq -inf, 1along the real axis..Pp.Fn cacoshreturns values in a half-strip of the complex plane with positive real part and imaginary part in the interval.Bq -Pi , Pi ..PpFor all complex floating point numbers z, cacosh(conj(z)) = conj(cacosh(z))..Sh SPECIAL VALUESThe conjugate symmetry of cacosh() is used to abbreviate the specification of special values..Pp.Fn cacosh "�0 + 0i"returns 0 + Pi/2 i..Pp.Fn cacosh "x + inf i"returns inf + Pi/2 i, for finite x..Pp.Fn cacosh "x + NaN i"returns NaN + NaN i, for finite nonzero x..Pp.Fn cacosh "-inf + yi"returns inf + Pi i, for finite positive-signed y..Pp.Fn cacosh "inf + yi"returns inf + 0i, for finite positive-signed y..Pp.Fn cacosh "-inf + inf i"returns inf + 3Pi/4 i..Pp.Fn cacosh "inf + inf i"returns inf + Pi/4 i..Pp.Fn cacosh "�inf + NaN i"returns inf + NaN i..Pp.Fn cacosh "NaN + yi"returns NaN + NaN i, for finite y..Pp.Fn cacosh "NaN + inf i"returns inf + NaN i..Pp.Fn cacosh "NaN + NaN i"returns NaN + NaN i..Sh NOTES.Sh SEE ALSO.Xr ccosh 3.Xr complex 3.Sh STANDARDSThe.Fn cacoshfunction conforms to ISO/IEC 9899:1999(E).