Namespaces
Variants
Actions

std::tanh(std::complex)

From cppreference.com
< cpp‎ | numeric‎ | complex
 
C++
 
Numerics library
 
std::complex
 
Defined in header <complex>
template< class T >
complex<T> tanh( const complex<T>& z );
 (since C++11)

Computes complex hyperbolic tangent of a complex value z.

Contents

[edit] Parameters

z - complex value

[edit] Return value

If no errors occur, complex hyperbolic tangent of z is returned.

[edit] Error handling and special values

Errors are reported consistent with math_errhandling.

If the implementation supports IEEE floating-point arithmetic,

  • std::tanh(std::conj(z)) == std::conj(std::tanh(z)).
  • std::tanh(-z) == -std::tanh(z).
  • If z is (+0,+0), the result is (+0,+0).
  • If z is (x,+∞) (for any[1] finite x), the result is (NaN,NaN) and FE_INVALID is raised.
  • If z is (x,NaN) (for any[2] finite x), the result is (NaN,NaN) and FE_INVALID may be raised.
  • If z is (+∞,y) (for any finite positive y), the result is (1,+0).
  • If z is (+∞,+∞), the result is (1,±0) (the sign of the imaginary part is unspecified).
  • If z is (+∞,NaN), the result is (1,±0) (the sign of the imaginary part is unspecified).
  • If z is (NaN,+0), the result is (NaN,+0).
  • If z is (NaN,y) (for any non-zero y), the result is (NaN,NaN) and FE_INVALID may be raised.
  • If z is (NaN,NaN), the result is (NaN,NaN).
  1. ↑ per C11 DR471, this only holds for non-zero x. If z is (0,∞), the result should be (0,NaN).
  2. ↑ per C11 DR471, this only holds for non-zero x. If z is (0,NaN), the result should be (0,NaN).

[