COMPLEX_NUMBERS(3)

💅 Complex Numbers(3) — Library Functions Manual 💅

okay so bestie, this is the Complex Numbers(3) page from the Library Functions Manual, and it's literally the whole complex-number situation in the C++ standard library. we're talking classes and functions, no cap. it's giving math but make it fashion 🎀

✨ NAME ✨

Complex Numbers -

🎀 Classes

struct std::complex< _Tp > — the main character struct, your actual complex number type. slay.

🌈 Functions

okay so here's the entire function roster, copied exactly because we do not mess with signatures. it's giving "phone book but make it math" 💀

template<typename _Tp > _Tp std::__complex_abs (const complex< _Tp >
    &__z)
template<typename _Tp > std::complex< _Tp > std::__complex_acos (const
    std::complex< _Tp > &__z)
template<typename _Tp > std::complex< _Tp > std::__complex_acosh (const
    std::complex< _Tp > &__z)
template<typename _Tp > _Tp std::__complex_arg (const complex< _Tp >
    &__z)
template<typename _Tp > std::complex< _Tp > std::__complex_asin (const
    std::complex< _Tp > &__z)
template<typename _Tp > std::complex< _Tp > std::__complex_asinh (const
    std::complex< _Tp > &__z)
template<typename _Tp > std::complex< _Tp > std::__complex_atan (const
    std::complex< _Tp > &__z)
template<typename _Tp > std::complex< _Tp > std::__complex_atanh (const
    std::complex< _Tp > &__z)
template<typename _Tp > complex< _Tp > std::__complex_cos (const
    complex< _Tp > &__z)
template<typename _Tp > complex< _Tp > std::__complex_cosh (const
    complex< _Tp > &__z)
template<typename _Tp > complex< _Tp > std::__complex_exp (const
    complex< _Tp > &__z)
template<typename _Tp > complex< _Tp > std::__complex_log (const
    complex< _Tp > &__z)
template<typename _Tp > complex< _Tp > std::__complex_pow (const
    complex< _Tp > &__x, const complex< _Tp > &__y)
template<typename _Tp > complex< _Tp > std::__complex_sin (const
    complex< _Tp > &__z)
template<typename _Tp > complex< _Tp > std::__complex_sinh (const
    complex< _Tp > &__z)
template<typename _Tp > complex< _Tp > std::__complex_sqrt (const
    complex< _Tp > &__z)
template<typename _Tp > complex< _Tp > std::__complex_tan (const
    complex< _Tp > &__z)
template<typename _Tp > complex< _Tp > std::__complex_tanh (const
    complex< _Tp > &__z)
template<typename _Tp > _Tp std::abs (const complex< _Tp > &)
template<typename _Tp > std::complex< _Tp > std::acos (const
    std::complex< _Tp > &__z)
template<typename _Tp > std::complex< _Tp > std::acosh (const
    std::complex< _Tp > &__z)
template<typename _Tp > __gnu_cxx::__promote< _Tp >::__type std::arg
    (_Tp __x)
template<typename _Tp > _Tp std::arg (const complex< _Tp > &)
template<typename _Tp > std::complex< _Tp > std::asin (const
    std::complex< _Tp > &__z)
template<typename _Tp > std::complex< _Tp > std::asinh (const
    std::complex< _Tp > &__z)
template<typename _Tp > std::complex< _Tp > std::atan (const
    std::complex< _Tp > &__z)
template<typename _Tp > std::complex< _Tp > std::atanh (const
    std::complex< _Tp > &__z)
std::complex< double >::complex (const complex< long double > &)
std::complex< float >::complex (const complex< long double > &)
std::complex< float >::complex (const complex< double > &)
template<typename _Tp > std::complex< typename __gnu_cxx::__promote< _Tp
    >::__type > std::conj (_Tp __x)
template<typename _Tp > complex< _Tp > std::conj (const complex< _Tp >
    &)
template<typename _Tp > complex< _Tp > std::cos (const complex< _Tp > &)
template<typename _Tp > complex< _Tp > std::cosh (const complex< _Tp >
    &)
template<typename _Tp > complex< _Tp > std::exp (const complex< _Tp > &)
template<typename _Tp > _Tp std::fabs (const std::complex< _Tp > &__z)
template<typename _Tp > __gnu_cxx::__promote< _Tp >::__type std::imag
    (_Tp)
template<typename _Tp > _Tp std::imag (const complex< _Tp > &__z)
template<typename _Tp > complex< _Tp > std::log (const complex< _Tp > &)
template<typename _Tp > complex< _Tp > std::log10 (const complex< _Tp >
    &)
template<typename _Tp > __gnu_cxx::__promote< _Tp >::__type std::norm
    (_Tp __x)
template<typename _Tp > _Tp std::norm (const complex< _Tp > &)
template<typename _Up > complex< _Tp > & std::complex::operator*= (const
    complex< _Up > &)
complex< _Tp > & std::complex::operator*= (const _Tp &)
template<typename _Tp > complex< _Tp > std::operator+ (const complex<
    _Tp > &__x)
template<typename _Up > complex< _Tp > & std::complex::operator+= (const
    complex< _Up > &)
template<typename _Tp > complex< _Tp > std::operator- (const complex<
    _Tp > &__x)
template<typename _Up > complex< _Tp > & std::complex::operator-= (const
    complex< _Up > &)
template<typename _Up > complex< _Tp > & std::complex::operator/= (const
    complex< _Up > &)
complex< _Tp > & std::complex::operator/= (const _Tp &)
template<typename _Tp , typename _CharT , class _Traits > basic_ostream<
    _CharT, _Traits > & std::operator<< (basic_ostream< _CharT, _Traits
    > &__os, const complex< _Tp > &__x)
template<typename _Up > complex< _Tp > & std::complex::operator= (const
    complex< _Up > &)
complex< _Tp > & std::complex::operator= (const _Tp &)
template<typename _Tp , typename _CharT , class _Traits > basic_istream<
    _CharT, _Traits > & std::operator>> (basic_istream< _CharT, _Traits
    > &__is, complex< _Tp > &__x)
template<typename _Tp > complex< _Tp > std::polar (const _Tp &, const
    _Tp &=0)
template<typename _Tp , typename _Up > std::complex< typename
    __gnu_cxx::__promote_2< _Tp, _Up >::__type > std::pow (const
    std::complex< _Tp > &__x, const std::complex< _Up > &__y)
template<typename _Tp , typename _Up > std::complex< typename
    __gnu_cxx::__promote_2< _Tp, _Up >::__type > std::pow (const _Tp
    &__x, const std::complex< _Up > &__y)
template<typename _Tp , typename _Up > std::complex< typename
    __gnu_cxx::__promote_2< _Tp, _Up >::__type > std::pow (const
    std::complex< _Tp > &__x, const _Up &__y)
template<typename _Tp > complex< _Tp > std::pow (const _Tp &, const
    complex< _Tp > &)
template<typename _Tp > complex< _Tp > std::pow (const complex< _Tp > &,
    const complex< _Tp > &)
template<typename _Tp > complex< _Tp > std::pow (const complex< _Tp > &,
    const _Tp &)
template<typename _Tp > __gnu_cxx::__promote< _Tp >::__type std::real
    (_Tp __x)
template<typename _Tp > _Tp std::real (const complex< _Tp > &__z)
template<typename _Tp > complex< _Tp > std::sin (const complex< _Tp > &)
template<typename _Tp > complex< _Tp > std::sinh (const complex< _Tp >
    &)
template<typename _Tp > complex< _Tp > std::sqrt (const complex< _Tp >
    &)
template<typename _Tp > complex< _Tp > std::tan (const complex< _Tp > &)
template<typename _Tp > complex< _Tp > std::tanh (const complex< _Tp >
    &)
template<typename _Tp > bool std::operator!= (const _Tp &__x, const
    complex< _Tp > &__y)
template<typename _Tp > bool std::operator!= (const complex< _Tp > &__x,
    const _Tp &__y)
template<typename _Tp > bool std::operator!= (const complex< _Tp > &__x,
    const complex< _Tp > &__y)
template<typename _Tp > complex< _Tp > std::operator* (const _Tp &__x,
    const complex< _Tp > &__y)
template<typename _Tp > complex< _Tp > std::operator* (const complex<
    _Tp > &__x, const _Tp &__y)
template<typename _Tp > complex< _Tp > std::operator* (const complex<
    _Tp > &__x, const complex< _Tp > &__y)
template<typename _Tp > complex< _Tp > std::operator+ (const _Tp &__x,
    const complex< _Tp > &__y)
template<typename _Tp > complex< _Tp > std::operator+ (const complex<
    _Tp > &__x, const _Tp &__y)
template<typename _Tp > complex< _Tp > std::operator+ (const complex<
    _Tp > &__x, const complex< _Tp > &__y)
template<typename _Tp > complex< _Tp > std::operator- (const _Tp &__x,
    const complex< _Tp > &__y)
template<typename _Tp > complex< _Tp > std::operator- (const complex<
    _Tp > &__x, const _Tp &__y)
template<typename _Tp > complex< _Tp > std::operator- (const complex<
    _Tp > &__x, const complex< _Tp > &__y)
template<typename _Tp > complex< _Tp > std::operator/ (const _Tp &__x,
    const complex< _Tp > &__y)
template<typename _Tp > complex< _Tp > std::operator/ (const complex<
    _Tp > &__x, const _Tp &__y)
template<typename _Tp > complex< _Tp > std::operator/ (const complex<
    _Tp > &__x, const complex< _Tp > &__y)
template<typename _Tp > bool std::operator== (const _Tp &__x, const
    complex< _Tp > &__y)
template<typename _Tp > bool std::operator== (const complex< _Tp > &__x,
    const _Tp &__y)
template<typename _Tp > bool std::operator== (const complex< _Tp > &__x,
    const complex< _Tp > &__y)

that's literally every single one up there. if you need a specific overload, it's in the roster. iykyk 💅

🌸 Detailed Description 🌸

Classes and functions for complex numbers. that's it, that's the description, and honestly it ate. no notes. 💖

🦋 Function Documentation 🦋

⭐ `std::abs` — magnitude of z

template<typename _Tp > _Tp std::abs (const complex< _Tp > & __z) [inline]

Return magnitude of z.

Definition at line 594 of file complex.

Referenced by:

std::tr1::__detail::__airy(),
std::tr1::__detail::__bessel_ik(),
std::tr1::__detail::__bessel_jn(),
std::tr1::__detail::__comp_ellint_1(),
std::tr1::__detail::__comp_ellint_2(),
std::tr1::__detail::__comp_ellint_3(),
std::tr1::__detail::__conf_hyperg_luke(),
std::tr1::__detail::__conf_hyperg_series(),
std::tr1::__detail::__cyl_bessel_ij_series(),
std::tr1::__detail::__ellint_1(),
std::tr1::__detail::__ellint_2(),
std::tr1::__detail::__ellint_3(),
std::tr1::__detail::__ellint_rc(),
std::tr1::__detail::__ellint_rd(),
std::tr1::__detail::__ellint_rf(),
std::tr1::__detail::__ellint_rj(),
std::tr1::__detail::__expint_asymp(),
std::tr1::__detail::__expint_E1_asymp(),
std::tr1::__detail::__expint_E1_series(),
std::tr1::__detail::__expint_En_cont_frac(),
std::tr1::__detail::__expint_En_series(),
std::tr1::__detail::__expint_large_n(),
std::tr1::__detail::__gamma_temme(),
std::tr1::__detail::__hurwitz_zeta_glob(),
std::tr1::__detail::__hyperg(),
std::tr1::__detail::__hyperg_luke(),
std::tr1::__detail::__hyperg_reflect(),
std::tr1::__detail::__hyperg_series(),
std::tr1::__detail::__log_gamma(),
std::tr1::__detail::__poly_laguerre_hyperg(),
std::tr1::__detail::__psi(),
std::tr1::__detail::__psi_asymp(),
std::tr1::__detail::__psi_series(),
std::tr1::__detail::__riemann_zeta_alt(),
std::tr1::__detail::__riemann_zeta_glob(),
std::fabs(),
std::binomial_distribution< _IntType, _RealType >::operator()(), and
std::poisson_distribution< _IntType, _RealType >::operator()().

⭐ `std::acos`

template<typename _Tp > std::complex< _Tp > std::acos (const std::complex<
    _Tp > & __z) [inline]

acos(__z) [8.1.2].

Definition at line 86 of file tr1_impl/complex.

⭐ `std::acosh`

template<typename _Tp > std::complex< _Tp > std::acosh (const std::complex<
    _Tp > & __z) [inline]

acosh(__z) [8.1.5].

Definition at line 205 of file tr1_impl/complex.

⭐ `std::arg` (the `_Tp` overload)

template<typename _Tp > __gnu_cxx::__promote<_Tp>::__type std::arg (_Tp __x)
    [inline]

Additional overloads [8.1.9].

Definition at line 311 of file tr1_impl/complex.

References std::arg().

⭐ `std::arg` (the complex overload)

template<typename _Tp > _Tp std::arg (const complex< _Tp > & __z) [inline]

Return phase angle of z.

…and that entry wraps up with Definition at line 621 of file complex. plus Referenced by std::arg(). Slay, moving on. 💫

std::asin — bestie, it’s the complex asin situation, aka asin(__z) [8.1.3]. 🌀

template<typename _Tp > std::complex< _Tp > std::asin (const std::complex< _Tp > & __z) [inline]

Definition at line 122 of file tr1_impl/complex.

std::asinh — the complex asinh one, literally asinh(__z) [8.1.6]. ✨

template<typename _Tp > std::complex< _Tp > std::asinh (const std::complex< _Tp > & __z) [inline]

Definition at line 244 of file tr1_impl/complex.

std::atan — complex atan, doing its thing as atan(__z) [8.1.4]. 🎀

template<typename _Tp > std::complex< _Tp > std::atan (const std::complex< _Tp > & __z) [inline]

Definition at line 166 of file tr1_impl/complex.

std::atanh — yup, complex atanh, aka atanh(__z) [8.1.7]. 🦋

template<typename _Tp > std::complex< _Tp > std::atanh (const std::complex< _Tp > & __z) [inline]

Definition at line 288 of file tr1_impl/complex.

std::conj — returns the complex conjugate of z, iconic behavior honestly. 💅

template<typename _Tp > complex< _Tp > std::conj (const complex< _Tp > & __z) [inline]

Definition at line 667 of file complex.
References std::complex< _Tp >::imag() and std::complex< _Tp >::real().

std::cos — returns the complex cosine of z, no cap. 🌸

template<typename _Tp > complex< _Tp > std::cos (const complex< _Tp > & __z) [inline]

Definition at line 699 of file complex.
Referenced by std::tr1::__detail::__cyl_bessel_jn_asymp(), std::tr1::__detail::__ellint_1(), std::tr1::__detail::__ellint_2(), std::tr1::__detail::__ellint_3(), std::tr1::__detail::__psi(), std::tr1::__detail::__sph_legendre(), and std::polar().

std::cosh — returns the complex hyperbolic cosine of z, highkey useful. 🫶

template<typename _Tp > complex< _Tp > std::cosh (const complex< _Tp > & __z) [inline]

Definition at line 729 of file complex.
Referenced by std::tr1::__detail::__bessel_ik() and std::tr1::__detail::__bessel_jn().

std::exp — returns the complex base e exponential of z, main character math energy. 🔥

template<typename _Tp > complex< _Tp > std::exp (const complex< _Tp > & __z) [inline]

Definition at line 755 of file complex.
Referenced by std::tr1::__detail::__bessel_ik(), std::tr1::__detail::__bessel_jn(), std::tr1::__detail::__beta_lgamma(), std::tr1::__detail::__bincoef(), std::tr1::__detail::__conf_hyperg(), std::tr1::__detail::__cyl_bessel_ij_series(), std::tr1::__detail::__expint(), std::tr1::__detail::__expint_asymp(), std::tr1::__detail::__expint_E1_asymp(), std::tr1::__detail::__expint_Ei_asymp(), std::tr1::__detail::__expint_En_cont_frac(), std::tr1::__detail::__expint_En_recursion(), std::tr1::__detail::__expint_large_n(), std::tr1::__detail::__gamma(), std::tr1::__detail::__hurwitz_zeta_glob(), std::tr1::__detail::__hyperg_reflect(), std::tr1::__detail::__poly_laguerre_large_n(), std::tr1::__detail::__psi(), std::tr1::__detail::__riemann_zeta(), std::tr1::__detail::__riemann_zeta_glob(), std::tr1::__detail::__sph_legendre(), std::gamma_distribution< _RealType >::operator()(), and std::pow().

std::fabs — gives you fabs(__z) [8.1.8]. and returns _Tp, periodt. 💜

template<typename _Tp > _Tp std::fabs (const std::complex< _Tp > & __z) [inline]

Definition at line 301 of file tr1_impl/complex.
References std::abs().

std::log — returns the complex natural logarithm of z, lowkey essential. 🌈

template<typename _Tp > complex< _Tp > std::log (const complex< _Tp > & __z) [inline]

Definition at line 782 of file complex.
Referenced by std::tr1::__detail::__bessel_ik(), std::tr1::__detail::__bessel_jn(), std::tr1::__detail::__bincoef(), std::tr1::__detail::__cyl_bessel_ij_series(), std::tr1::__detail::__expint_E1_series(), std::tr1::__detail::__expint_Ei(), std::tr1::__detail::__expint_Ei_series(), std::tr1::__detail::__expint_En_series(), std::tr1::__detail::__hurwitz_zeta_glob(), std::tr1::__detail::__hyperg_reflect(), std::tr1::__detail::__log_bincoef(), std::tr1::__detail::__log_gamma(), std::tr1::__detail::__log_gamma_bernoulli(), std::tr1::__detail::__log_gamma_lanczos(), std::tr1::__detail::__poly_laguerre_large_n(), std::tr1::__detail::__psi_asymp(), std::tr1::__detail::__riemann_zeta_glob(), std::tr1::__detail::__sph_legendre(), std::log10(), std::gamma_distribution< _RealType >::operator()(), std::normal_distribution< _RealType >::operator()(), std::binomial_distribution< _IntType, _RealType >::operator()(), std::poisson_distribution< _IntType, _RealType >::operator()(), and std::pow().

std::log10 — returns the complex base 10 logarithm of z, cute. 🎀

template<typename _Tp > complex< _Tp > std::log10 (const complex< _Tp > & __z) [inline]

Definition at line 787 of file complex.
References std::log().

std::norm — returns z magnitude squared, bestie, and yes it returns _Tp. 🍓

template<typename _Tp > _Tp std::norm (const complex< _Tp > & __z) [inline]

Definition at line 654 of file complex.
Referenced by std::complex< _Tp >::operator/=().

std::operator!= — const _Tp & __x, const complex< _Tp > & __y: returns false if x is equal to y. 🙈

template<typename _Tp > bool std::operator!= (const _Tp & __x, const complex< _Tp > & __y) [inline]

Definition at line 479 of file complex.
References std::complex< _Tp >::imag() and std::complex< _Tp >::real().

std::operator!= — const complex< _Tp > & __x, const _Tp & __y: returns false if x is equal to y. 🦋

template<typename _Tp > bool std::operator!= (const complex< _Tp > & __x, const _Tp & __y) [inline]

Definition at line 474 of file complex.
References std::complex< _Tp >::imag() and std::complex< _Tp >::real().

std::operator!= — const complex< _Tp > & __x, const complex< _Tp > & __y: returns false if x is equal to y. 💅

template<typename _Tp > bool std::operator!= (const complex< _Tp > & __x, const complex< _Tp > & __y) [inline]

Definition at line 469 of file complex.
References std::complex< _Tp >::imag() and std::complex< _Tp >::real().

std::operator* — const _Tp & __x, const complex< _Tp > & __y: returns a new complex value x times y. ✨

template<typename _Tp > complex<_Tp> std::operator* (const _Tp & __x, const complex< _Tp > & __y) [inline]

Definition at line 397 of file complex.

std::operator* — const complex< _Tp > & __x, const _Tp & __y: returns a new complex value x times y. 🌸

template<typename _Tp > complex<_Tp> std::operator* (const complex< _Tp > & __x, const _Tp & __y) [inline]

Definition at line 388 of file complex.

std::operator* — const complex< _Tp > & __x, const complex< _Tp > & __y: returns a new complex value x times y. 🔥

template<typename _Tp > complex<_Tp> std::operator* (const complex< _Tp > & __x, const complex< _Tp > & __y) [inline]

Definition at line 379 of file complex.
Referenced by std::ostreambuf_iterator< _CharT, _Traits >::operator*(), std::istreambuf_iterator< _CharT, _Traits >::operator*(), std::insert_iterator< _Container >::operator*(), std::front_insert_iterator< _Container >::operator*(), std::back_insert_iterator< _Container >::operator*(), std::reverse_iterator< _Iterator >::operator*(), std::auto_ptr< _Tp >::operator*(), and std::reverse_iterator< _Iterator >::operator->().

std::complex< _Tp >::operator*= — complex-_Up flavor: multiply this complex number by z. 💖

template<typename _Tp > template<typename _Up > complex< _Tp > & std::complex< _Tp >::operator*= (const complex< _Up > & __z) [inline, inherited]

Definition at line 292 of file complex.
References std::complex< _Tp >::imag() and std::complex< _Tp >::real().

std::complex< _Tp >::operator*= — scalar flavor: multiply this complex number by t. 🎀

template<typename _Tp > complex< _Tp > & std::complex< _Tp >::operator*= (const _Tp & __t) [inline, inherited]

Definition at line 238 of file complex.

std::operator+ — unary plus bestie: returns x. 🫶

template<typename _Tp > complex<_Tp> std::operator+ (const complex< _Tp > & __x) [inline]

Definition at line 438 of file complex.

std::operator+ — const _Tp & __x, const complex< _Tp > & __y: returns a new complex value x plus y. 🌈

template<typename _Tp > complex<_Tp> std::operator+ (const _Tp & __x, const complex< _Tp > & __y) [inline]

Definition at line 337 of file complex.

std::operator+ — const complex< _Tp > & __x, const _Tp & __y: returns a new complex value x plus y. ⭐

template<typename _Tp > complex<_Tp> std::operator+ (const complex< _Tp > & __x, const _Tp & __y) [inline]

Definition at line 328 of file complex.

std::operator+ — const complex< _Tp > & __x, const complex< _Tp > & __y: returns a new complex value x plus y. 💜

template<typename _Tp > complex<_Tp> std::operator+ (const complex< _Tp > & __x, const complex< _Tp > & __y) [inline]

Definition at line 319 of file complex.

std::complex< _Tp >::operator+= — add z to this complex number, inherited and all. 🦋

template<typename _Tp > template<typename _Up > complex< _Tp > & std::complex< _Tp >::operator+= (const complex< _Up > & __z) [inline, inherited]

Definition at line 269 of file complex.
References std::complex< _Tp >::imag() and std::complex< _Tp >::real().

std::operator- — unary minus era: returns the complex negation of x. 💀

template<typename _Tp > complex<_Tp> std::operator- (const complex< _Tp > & __x) [inline]

Definition at line 444 of file complex.
References std::complex< _Tp >::imag() and std::complex< _Tp >::real().

std::operator- — const _Tp & __x, const complex< _Tp > & __y: returns a new complex value x minus y. 😭

template<typename _Tp > complex<_Tp> std::operator- (const _Tp & __x, const complex< _Tp > & __y) [inline]

Definition at line 367 of file complex.
References std::complex< _Tp >::imag() and std::complex< _Tp >::real().

std::operator- — const complex< _Tp > & __x, const _Tp & __y: returns a new complex value x minus y. 🌸

template<typename _Tp > complex<_Tp> std::operator- (const complex< _Tp > & __x, const _Tp & __y) [inline]

Definition at line 358 of file complex.

std::operator- — const complex< _Tp > & __x, const complex< _Tp > & __y: returns a new complex value x minus y. 🫶

template<typename _Tp > complex<_Tp> std::operator- (const complex< _Tp > & __x, const complex< _Tp > & __y) [inline]

Definition at line 349 of file complex.
Referenced by std::operator-(), std::reverse_iterator< _Iterator >::operator-(), and std::fpos< _StateT >::operator-().

std::complex< _Tp >::operator-= — subtract z from this complex number, no cap. 🌀

template<typename _Tp > template<typename _Up > complex< _Tp > & std::complex< _Tp >::operator-= (const complex< _Up > & __z) [inline, inherited]

Definition at line 280 of file complex.
References std::complex< _Tp >::imag() and std::complex< _Tp >::real().

std::operator/ — const _Tp & __x, const complex< _Tp > & __y: returns a new complex value x divided by y. ✨

template<typename _Tp > complex<_Tp> std::operator/ (const _Tp & __x, const complex< _Tp > & __y) [inline]

Definition at line 427 of file complex.

std::operator/ — const complex< _Tp > & __x, const _Tp & __y: returns a new complex value x divided by y. 🎀

template<typename _Tp > complex<_Tp> std::operator/ (const complex< _Tp > & __x, const _Tp & __y) [inline]

Definition at line 418 of file complex.

std::operator/ — const complex< _Tp > & __x, const complex< _Tp > & __y: returns a new complex value x divided by y. 💜

template<typename _Tp > complex<_Tp> std::operator/ (const complex< _Tp > & __x, const complex< _Tp > & __y) [inline]

Definition at line 409 of file complex.

std::complex< _Tp >::operator/= — divide this complex number by z, inherited flavor. 🦋

template<typename _Tp > template<typename _Up > complex< _Tp > & std::complex< _Tp >::operator/= (const complex< _Up > & __z) [inline, inherited]

Definition at line 305 of file complex.
References std::complex< _Tp >::imag(), std::norm(), and std::complex< _Tp >::real().

std::complex< _Tp >::operator/= — divide this complex number by t, scalar style. 🌟

template<typename _Tp > complex< _Tp > & std::complex< _Tp >::operator/= (const _Tp & __t) [inline, inherited]

Definition at line 248 of file complex.

std::operator<< — insertion operator for complex values, stream bestie behavior. 🖨️💖

template<typename _Tp , typename _CharT , class _Traits > basic_ostream<_CharT, _Traits>& std::operator<< (basic_ostream< _CharT, _Traits > & __os, const complex< _Tp > & __x) [inline]

Definition at line 519 of file complex.
References std::ios_base::flags(), std::basic_ios< _CharT, _Traits >::imbue(), std::ios_base::precision(), and std::basic_ostringstream< _CharT, _Traits, _Alloc >::str().

`std::complex< _Tp >::operator=` (from another `complex`)

template<typename _Tp > template<typename _Up > complex< _Tp > &
std::complex< _Tp >::operator= (const complex< _Up > & __z) [inline,
inherited]

okay so this assignment operator gives this complex number the value of complex z. Definition: line 258 of file complex. It references std::complex< _Tp >::imag(), and std::complex< _Tp >::real().

`std::complex< _Tp >::operator=` (from a scalar)

template<typename _Tp > complex< _Tp > & std::complex< _Tp >::operator=
(const _Tp & __t) [inline, inherited]

this one assigns this complex number to scalar t. Definition: line 228 of file complex.

`std::operator==` (`_Tp` vs `complex`)

template<typename _Tp > bool std::operator== (const _Tp & __x, const
complex< _Tp > & __y) [inline]

returns true if x is equal to y. Definition: line 461 of file complex. It references std::complex< _Tp >::imag(), and std::complex< _Tp >::real().

`std::operator==` (`complex` vs `_Tp`)

template<typename _Tp > bool std::operator== (const complex< _Tp > & __x,
const _Tp & __y) [inline]

returns true if x is equal to y. Definition: line 456 of file complex. It references std::complex< _Tp >::imag(), and std::complex< _Tp >::real().

`std::operator==` (`complex` vs `complex`)

template<typename _Tp > bool std::operator== (const complex< _Tp > & __x,
const complex< _Tp > & __y) [inline]

returns true if x is equal to y. Definition: line 451 of file complex. It references std::complex< _Tp >::imag(), and std::complex< _Tp >::real().

`std::operator>>` (extraction operator)

template<typename _Tp , typename _CharT , class _Traits >
basic_istream<_CharT, _Traits>& std::operator>> (basic_istream< _CharT,
_Traits > & __is, complex< _Tp > & __x) [inline]

this is the extraction operator for complex values. Definition: line 486 of file complex. It references std::ios_base::failbit, std::basic_istream< _CharT, _Traits >::putback(), and std::basic_ios< _CharT, _Traits >::setstate().

`std::polar`

template<typename _Tp > complex< _Tp > std::polar (const _Tp & __rho, const
_Tp & __theta = 0) [inline]

returns a complex number with magnitude rho and angle theta. Definition: line 662 of file complex. It references std::cos(), and std::sin(). Referenced by: std::pow().

`std::pow` (scalar `x`, complex `y`)

template<typename _Tp > complex< _Tp > std::pow (const _Tp & __x, const
complex< _Tp > & __y) [inline]

returns x to the y'th power. Definition: line 1009 of file complex. It references std::complex< _Tp >::imag(), std::log(), std::polar(), std::pow(), and std::complex< _Tp >::real().

`std::pow` (complex `x`, complex `y`)

template<typename _Tp > complex< _Tp > std::pow (const complex< _Tp > & __x,
const complex< _Tp > & __y) [inline]

returns x to the y'th power. Definition: line 1003 of file complex. It references std::pow().

`std::pow` (complex `x`, scalar `y`)

template<typename _Tp > complex< _Tp > std::pow (const complex< _Tp > & __x,
const _Tp & __y) [inline]

returns x to the y'th power. Definition: line 964 of file complex. It references std::exp(), std::complex< _Tp >::imag(), std::log(), std::polar(), std::pow(), and std::complex< _Tp >::real().

Referenced by: std::tr1::__detail::__bernoulli_series(), std::tr1::__detail::__conf_hyperg_luke(), std::tr1::__detail::__ellint_rc(), std::tr1::__detail::__ellint_rd(), std::tr1::__detail::__ellint_rf(), std::tr1::__detail::__ellint_rj(), std::tr1::__detail::__hurwitz_zeta_glob(), std::tr1::__detail::__hyperg(), std::tr1::__detail::__hyperg_luke(), std::tr1::__detail::__riemann_zeta(), std::tr1::__detail::__riemann_zeta_alt(), std::tr1::__detail::__riemann_zeta_glob(), std::tr1::__detail::__riemann_zeta_product(), std::tr1::__detail::__riemann_zeta_sum(), std::gamma_distribution< _RealType >::operator()(), std::tr1::pow(), and std::pow().

`std::sin`

template<typename _Tp > complex< _Tp > std::sin (const complex< _Tp > & __z)
[inline]

returns the complex sine of z. Definition: line 817 of file complex.

Referenced by: std::tr1::__detail::__bessel_ik(), std::tr1::__detail::__bessel_jn(), std::tr1::__detail::__cyl_bessel_jn_asymp(), std::tr1::__detail::__ellint_1(), std::tr1::__detail::__ellint_2(), std::tr1::__detail::__ellint_3(), std::tr1::__detail::__log_gamma(), std::tr1::__detail::__log_gamma_sign(), std::tr1::__detail::__poly_laguerre_large_n(), std::tr1::__detail::__psi(), std::tr1::__detail::__riemann_zeta(), std::tr1::__detail::__riemann_zeta_glob(), and std::polar().

`std::sinh`

template<typename _Tp > complex< _Tp > std::sinh (const complex< _Tp > &
__z) [inline]

returns the complex hyperbolic sine of z. Definition: line 847 of file complex. Referenced by: std::tr1::__detail::__bessel_ik(), and std::tr1::__detail::__bessel_jn().

`std::sqrt`

template<typename _Tp > complex< _Tp > std::sqrt (const complex< _Tp > &
__z) [inline]

returns the complex square root of z. Definition: line 891 of file complex.

Referenced by: std::tr1::__detail::__airy(), std::tr1::__detail::__assoc_legendre_p(), std::tr1::__detail::__bessel_ik(), std::tr1::__detail::__bessel_jn(), std::tr1::__detail::__cyl_bessel_jn_asymp(), std::tr1::__detail::__ellint_rc(), std::tr1::__detail::__ellint_rd(), std::tr1::__detail::__ellint_rf(), std::tr1::__detail::__ellint_rj(), std::tr1::__detail::__poly_laguerre_large_n(), std::tr1::__detail::__sph_bessel_ik(), std::tr1::__detail::__sph_bessel_jn(), std::tr1::__detail::__sph_legendre(), and std::normal_distribution< _RealType >::operator()().

`std::tan`

template<typename _Tp > complex< _Tp > std::tan (const complex< _Tp > & __z)
[inline]

returns the complex tangent of z. Definition: line 918 of file complex.

`std::tanh`

template<typename _Tp > complex< _Tp > std::tanh (const complex< _Tp > &
__z) [inline]

returns the complex hyperbolic tangent of z. Definition: line 946 of file complex.

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