G.6.2.4 The ccosh functions

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  • ccosh(conj(z)) = conj(ccosh(z)) and ccosh is even.

  • ccosh(+0 + i0) returns 1 + i0.

  • ccosh(+0 + i (inf)) returns NaN (+-) i0 (where the sign of the imaginary part of the result is unspecified) and raises the “invalid” floating-point exception.

  • ccosh(+0 + iNaN) returns NaN (+-) i0 (where the sign of the imaginary part of the result is unspecified).

  • ccosh(x + i (inf)) returns NaN + iNaN and raises the “invalid” floating-point exception, for finite nonzero x.

  • ccosh(x + iNaN) returns NaN + iNaN and optionally raises the “invalid” floating- point exception, for finite nonzero x.

  • ccosh(+(inf) + i0) returns +(inf) + i0.

  • ccosh(+(inf) + iy) returns +(inf) cis(y), for finite nonzero y.

  • ccosh(+(inf) + i (inf)) returns (+-)(inf) + iNaN (where the sign of the real part of the result is unspecified) and raises the “invalid” floating-point exception.

  • ccosh(+(inf) + iNaN) returns +(inf) + iNaN.

  • ccosh(NaN + i0) returns NaN (+-) i0 (where the sign of the imaginary part of the result is unspecified).

  • ccosh(NaN + iy) returns NaN + iNaN and optionally raises the “invalid” floating- point exception, for all nonzero numbers y.

  • ccosh(NaN + iNaN) returns NaN + iNaN.