26 Numerics library [numerics]

26.4 Complex numbers [complex.numbers]

26.4.8 Transcendentals [complex.transcendentals]

🔗
template<class T> complex<T> acos(const complex<T>& x);
1
#
Returns: The complex arc cosine of x.
2
#
Remarks: Behaves the same as the C function cacos.
See also: ISO C 7.3.5.1
🔗
template<class T> complex<T> asin(const complex<T>& x);
3
#
Returns: The complex arc sine of x.
4
#
Remarks: Behaves the same as the C function casin.
See also: ISO C 7.3.5.2
🔗
template<class T> complex<T> atan(const complex<T>& x);
5
#
Returns: The complex arc tangent of x.
6
#
Remarks: Behaves the same as the C function catan.
See also: ISO C 7.3.5.3
🔗
template<class T> complex<T> acosh(const complex<T>& x);
7
#
Returns: The complex arc hyperbolic cosine of x.
8
#
Remarks: Behaves the same as the C function cacosh.
See also: ISO C 7.3.6.1
🔗
template<class T> complex<T> asinh(const complex<T>& x);
9
#
Returns: The complex arc hyperbolic sine of x.
10
#
Remarks: Behaves the same as the C function casinh.
See also: ISO C 7.3.6.2
🔗
template<class T> complex<T> atanh(const complex<T>& x);
11
#
Returns: The complex arc hyperbolic tangent of x.
12
#
Remarks: Behaves the same as the C function catanh.
See also: ISO C 7.3.6.3
🔗
template<class T> complex<T> cos(const complex<T>& x);
13
#
Returns: The complex cosine of x.
🔗
template<class T> complex<T> cosh(const complex<T>& x);
14
#
Returns: The complex hyperbolic cosine of x.
🔗
template<class T> complex<T> exp(const complex<T>& x);
15
#
Returns: The complex base-e exponential of x.
🔗
template<class T> complex<T> log(const complex<T>& x);
16
#
Returns: The complex natural (base-e) logarithm of x.
For all x, imag(log(x)) lies in the interval [, π].
[Note
:
The semantics of this function are intended to be the same in C++ as they are for clog in C.
— end note
]
17
#
Remarks: The branch cuts are along the negative real axis.
🔗
template<class T> complex<T> log10(const complex<T>& x);
18
#
Returns: The complex common (base-10) logarithm of x, defined as log(x) / log(10).
19
#
Remarks: The branch cuts are along the negative real axis.
🔗
template<class T> complex<T> pow(const complex<T>& x, const complex<T>& y); template<class T> complex<T> pow(const complex<T>& x, const T& y); template<class T> complex<T> pow(const T& x, const complex<T>& y);
20
#
Returns: The complex power of base x raised to the power, defined as exp(y * log(x)).
The value returned for pow(0, 0) is implementation-defined.
21
#
Remarks: The branch cuts are along the negative real axis.
🔗
template<class T> complex<T> sin(const complex<T>& x);
22
#
Returns: The complex sine of x.
🔗
template<class T> complex<T> sinh(const complex<T>& x);
23
#
Returns: The complex hyperbolic sine of x.
🔗
template<class T> complex<T> sqrt(const complex<T>& x);
24
#
Returns: The complex square root of x, in the range of the right half-plane.
[Note
:
The semantics of this function are intended to be the same in C++ as they are for csqrt in C.
— end note
]
25
#
Remarks: The branch cuts are along the negative real axis.
🔗
template<class T> complex<T> tan(const complex<T>& x);
26
#
Returns: The complex tangent of x.
🔗
template<class T> complex<T> tanh(const complex<T>& x);
27
#
Returns: The complex hyperbolic tangent of x.