[complex.transcendentals] (original) (raw)
29 Numerics library [numerics]
29.4 Complex numbers [complex.numbers]
29.4.8 Transcendentals [complex.transcendentals]
template<class T> constexpr complex<T> acos(const complex<T>& x);
Returns: The complex arc cosine of x.
Remarks: Behaves the same as the C function cacos.
See also: ISO/IEC 9899:2024, 7.3.5.1
template<class T> constexpr complex<T> asin(const complex<T>& x);
Returns: The complex arc sine of x.
Remarks: Behaves the same as the C function casin.
See also: ISO/IEC 9899:2024, 7.3.5.2
template<class T> constexpr complex<T> atan(const complex<T>& x);
Returns: The complex arc tangent of x.
Remarks: Behaves the same as the C function catan.
See also: ISO/IEC 9899:2024, 7.3.5.3
template<class T> constexpr complex<T> acosh(const complex<T>& x);
Returns: The complex arc hyperbolic cosine of x.
Remarks: Behaves the same as the C function cacosh.
See also: ISO/IEC 9899:2024, 7.3.6.1
template<class T> constexpr complex<T> asinh(const complex<T>& x);
Returns: The complex arc hyperbolic sine of x.
Remarks: Behaves the same as the C function casinh.
See also: ISO/IEC 9899:2024, 7.3.6.2
template<class T> constexpr complex<T> atanh(const complex<T>& x);
Returns: The complex arc hyperbolic tangent of x.
Remarks: Behaves the same as the C function catanh.
See also: ISO/IEC 9899:2024, 7.3.6.3
template<class T> constexpr complex<T> cos(const complex<T>& x);
Returns: The complex cosine of x.
template<class T> constexpr complex<T> cosh(const complex<T>& x);
Returns: The complex hyperbolic cosine of x.
template<class T> constexpr complex<T> exp(const complex<T>& x);
Returns: The complex base-e exponential of x.
template<class T> constexpr complex<T> log(const complex<T>& x);
Returns: The complex natural (base-e) logarithm of x.
For all x,imag(log(x)) lies in the interval [, π].
[Note 1:
The semantics of this function are intended to be the same in C++ as they are for clog in C.
— _end note_]
Remarks: The branch cuts are along the negative real axis.
template<class T> constexpr complex<T> log10(const complex<T>& x);
Returns: The complex common (base-10) logarithm of x, defined aslog(x) / log(10).
Remarks: The branch cuts are along the negative real axis.
template<class T> constexpr complex<T> pow(const complex<T>& x, const complex<T>& y);template<class T> constexpr complex<T> pow(const complex<T>& x, const T& y);template<class T> constexpr complex<T> pow(const T& x, const complex<T>& y);
Returns: The complex power of base x raised to the power, defined asexp(y * log(x)).
The value returned forpow(0, 0)is implementation-defined.
Remarks: The branch cuts are along the negative real axis.
template<class T> constexpr complex<T> sin(const complex<T>& x);
Returns: The complex sine of x.
template<class T> constexpr complex<T> sinh(const complex<T>& x);
Returns: The complex hyperbolic sine of x.
template<class T> constexpr complex<T> sqrt(const complex<T>& x);
Returns: The complex square root of x, in the range of the right half-plane.
[Note 2:
The semantics of this function are intended to be the same in C++ as they are for csqrt in C.
— _end note_]
Remarks: The branch cuts are along the negative real axis.
template<class T> constexpr complex<T> tan(const complex<T>& x);
Returns: The complex tangent of x.
template<class T> constexpr complex<T> tanh(const complex<T>& x);
Returns: The complex hyperbolic tangent of x.