29 Numerics library [numerics]

29.5 Complex numbers [complex.numbers]

29.5.7 complex value operations [complex.value.ops]

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template<class T> constexpr T real(const complex<T>& x);
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Returns: x.real().
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template<class T> constexpr T imag(const complex<T>& x);
2
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Returns: x.imag().
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template<class T> T abs(const complex<T>& x);
3
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Returns: The magnitude of x.
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template<class T> T arg(const complex<T>& x);
4
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Returns: The phase angle of x, or atan2(imag(x), real(x)).
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template<class T> T norm(const complex<T>& x);
5
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Returns: The squared magnitude of x.
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template<class T> complex<T> conj(const complex<T>& x);
6
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Returns: The complex conjugate of x.
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template<class T> complex<T> proj(const complex<T>& x);
7
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Returns: The projection of x onto the Riemann sphere.
8
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Remarks: Behaves the same as the C function cproj, defined in 7.3.9.4.
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template<class T> complex<T> polar(const T& rho, const T& theta = 0);
9
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Requires: rho shall be non-negative and non-NaN.
theta shall be finite.
10
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Returns: The complex value corresponding to a complex number whose magnitude is rho and whose phase angle is theta.