28 Numerics library [numerics]

28.4 Complex numbers [complex.numbers]

28.4.8 Transcendentals [complex.transcendentals]

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template<class T> complex<T> acos(const complex<T>& x);
1
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Returns: The complex arc cosine of x.
2
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Remarks: Behaves the same as the C function cacos.
See also: ISO/IEC 9899:2018, 7.3.5.1
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template<class T> complex<T> asin(const complex<T>& x);
3
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Returns: The complex arc sine of x.
4
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Remarks: Behaves the same as the C function casin.
See also: ISO/IEC 9899:2018, 7.3.5.2
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template<class T> complex<T> atan(const complex<T>& x);
5
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Returns: The complex arc tangent of x.
6
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Remarks: Behaves the same as the C function catan.
See also: ISO/IEC 9899:2018, 7.3.5.3
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template<class T> complex<T> acosh(const complex<T>& x);
7
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Returns: The complex arc hyperbolic cosine of x.
8
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Remarks: Behaves the same as the C function cacosh.
See also: ISO/IEC 9899:2018, 7.3.6.1
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template<class T> complex<T> asinh(const complex<T>& x);
9
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Returns: The complex arc hyperbolic sine of x.
10
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Remarks: Behaves the same as the C function casinh.
See also: ISO/IEC 9899:2018, 7.3.6.2
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template<class T> complex<T> atanh(const complex<T>& x);
11
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Returns: The complex arc hyperbolic tangent of x.
12
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Remarks: Behaves the same as the C function catanh.
See also: ISO/IEC 9899:2018, 7.3.6.3
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template<class T> complex<T> cos(const complex<T>& x);
13
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Returns: The complex cosine of x.
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template<class T> complex<T> cosh(const complex<T>& x);
14
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Returns: The complex hyperbolic cosine of x.
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template<class T> complex<T> exp(const complex<T>& x);
15
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Returns: The complex base-e exponential of x.
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template<class T> complex<T> log(const complex<T>& x);
16
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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]
17
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Remarks: The branch cuts are along the negative real axis.
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template<class T> complex<T> log10(const complex<T>& x);
18
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Returns: The complex common (base-10) logarithm of x, defined as log(x) / log(10).
19
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Remarks: The branch cuts are along the negative real axis.
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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
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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
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Remarks: The branch cuts are along the negative real axis.
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template<class T> complex<T> sin(const complex<T>& x);
22
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Returns: The complex sine of x.
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template<class T> complex<T> sinh(const complex<T>& x);
23
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Returns: The complex hyperbolic sine of x.
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template<class T> complex<T> sqrt(const complex<T>& x);
24
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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]
25
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Remarks: The branch cuts are along the negative real axis.
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template<class T> complex<T> tan(const complex<T>& x);
26
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Returns: The complex tangent of x.
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template<class T> complex<T> tanh(const complex<T>& x);
27
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Returns: The complex hyperbolic tangent of x.