G.6.2.5 The csinh functions

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  • csinh(conj(z)) = conj(csinh(z)) and csinh is odd.

  • csinh(+0 + i0) returns +0 + i0.

  • csinh(+0 + i (inf)) returns (+-)0 + iNaN (where the sign of the real part of the result is unspecified) and raises the “invalid” floating-point exception.

  • csinh(+0 + iNaN) returns (+-)0 + iNaN (where the sign of the real part of the result is unspecified).

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

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

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

  • csinh(+(inf) + iy) returns +(inf) cis(y), for positive finite y.

  • csinh(+(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.

  • csinh(+(inf) + iNaN) returns (+-)(inf) + iNaN (where the sign of the real part of the result is unspecified).

  • csinh(NaN + i0) returns NaN + i0.

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

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