std::acosh(std::complex)

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std::complex
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 Defined in header template< class T > complex acosh( const complex& z ); (since C++11)

Computes complex arc hyperbolic sine of a complex value z with branch cut at values less than 1 along the real axis.

Contents

Parameters

 z - complex value

Return value

If no errors occur, the complex arc hyperbolic cosine of z is returned, in the range of a half-strip of nonnegative values along the real axis and in the interval [−iπ; +iπ] along the imaginary axis.

Error handling and special values

Errors are reported consistent with math_errhandling

If the implementation supports IEEE floating-point arithmetic,

• std::acosh(std::conj(z)) == std::conj(std::acosh(z))
• If z is (±0,+0), the result is (+0,π/2)
• If z is (x,+∞) (for any finite x), the result is (+∞,π/2)
• If z is (x,NaN) (for any finite x), the result is (NaN,NaN) and FE_INVALID may be raised.
• If z is (-∞,y) (for any positive finite y), the result is (+∞,π)
• If z is (+∞,y) (for any positive finite y), the result is (+∞,+0)
• If z is (-∞,+∞), the result is (+∞,3π/4)
• If z is (±∞,NaN), the result is (+∞,NaN)
• If z is (NaN,y) (for any finite y), the result is (NaN,NaN) and FE_INVALID may be raised.
• If z is (NaN,+∞), the result is (+∞,NaN)
• If z is (NaN,NaN), the result is (NaN,NaN)