{ return __z.imag(); }
#endif
- // 26.2.7/3 abs(__z): Returns the magnitude of __z.
- template<typename _Tp>
- inline _Tp
- __complex_abs(const complex<_Tp>& __z)
- {
- _Tp __x = __z.real();
- _Tp __y = __z.imag();
- const _Tp __s = std::max(abs(__x), abs(__y));
- if (__s == _Tp()) // well ...
- return __s;
- __x /= __s;
- __y /= __s;
- return __s * sqrt(__x * __x + __y * __y);
- }
-
#if _GLIBCXX_USE_C99_COMPLEX
- inline float
- __complex_abs(__complex__ float __z) { return __builtin_cabsf(__z); }
+#if defined(__STDCPP_FLOAT16_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32)
+ inline _Float16
+ __complex_abs(__complex__ _Float16 __z)
+ { return _Float16(__builtin_cabsf(__z)); }
- inline double
- __complex_abs(__complex__ double __z) { return __builtin_cabs(__z); }
+ inline _Float16
+ __complex_arg(__complex__ _Float16 __z)
+ { return _Float16(__builtin_cargf(__z)); }
- inline long double
- __complex_abs(const __complex__ long double& __z)
- { return __builtin_cabsl(__z); }
+ inline __complex__ _Float16
+ __complex_cos(__complex__ _Float16 __z)
+ { return static_cast<__complex__ _Float16>(__builtin_ccosf(__z)); }
- template<typename _Tp>
- inline _Tp
- abs(const complex<_Tp>& __z) { return __complex_abs(__z.__rep()); }
-#else
- template<typename _Tp>
- inline _Tp
- abs(const complex<_Tp>& __z) { return __complex_abs(__z); }
-#endif
+ inline __complex__ _Float16
+ __complex_cosh(__complex__ _Float16 __z)
+ { return static_cast<__complex__ _Float16>(__builtin_ccoshf(__z)); }
+ inline __complex__ _Float16
+ __complex_exp(__complex__ _Float16 __z)
+ { return static_cast<__complex__ _Float16>(__builtin_cexpf(__z)); }
- // 26.2.7/4: arg(__z): Returns the phase angle of __z.
- template<typename _Tp>
- inline _Tp
- __complex_arg(const complex<_Tp>& __z)
- { return atan2(__z.imag(), __z.real()); }
+ inline __complex__ _Float16
+ __complex_log(__complex__ _Float16 __z)
+ { return static_cast<__complex__ _Float16>(__builtin_clogf(__z)); }
-#if _GLIBCXX_USE_C99_COMPLEX
- inline float
- __complex_arg(__complex__ float __z) { return __builtin_cargf(__z); }
+ inline __complex__ _Float16
+ __complex_sin(__complex__ _Float16 __z)
+ { return static_cast<__complex__ _Float16>(__builtin_csinf(__z)); }
- inline double
- __complex_arg(__complex__ double __z) { return __builtin_carg(__z); }
+ inline __complex__ _Float16
+ __complex_sinh(__complex__ _Float16 __z)
+ { return static_cast<__complex__ _Float16>(__builtin_csinhf(__z)); }
- inline long double
- __complex_arg(const __complex__ long double& __z)
- { return __builtin_cargl(__z); }
+ inline __complex__ _Float16
+ __complex_sqrt(__complex__ _Float16 __z)
+ { return static_cast<__complex__ _Float16>(__builtin_csqrtf(__z)); }
- template<typename _Tp>
- inline _Tp
- arg(const complex<_Tp>& __z) { return __complex_arg(__z.__rep()); }
-#else
- template<typename _Tp>
- inline _Tp
- arg(const complex<_Tp>& __z) { return __complex_arg(__z); }
+ inline __complex__ _Float16
+ __complex_tan(__complex__ _Float16 __z)
+ { return static_cast<__complex__ _Float16>(__builtin_ctanf(__z)); }
+
+ inline __complex__ _Float16
+ __complex_tanh(__complex__ _Float16 __z)
+ { return static_cast<__complex__ _Float16>(__builtin_ctanhf(__z)); }
+
+ inline __complex__ _Float16
+ __complex_pow(__complex__ _Float16 __x, __complex__ _Float16 __y)
+ { return static_cast<__complex__ _Float16>(__builtin_cpowf(__x, __y)); }
#endif
- // 26.2.7/5: norm(__z) returns the squared magnitude of __z.
- // As defined, norm() is -not- a norm is the common mathematical
- // sense used in numerics. The helper class _Norm_helper<> tries to
- // distinguish between builtin floating point and the rest, so as
- // to deliver an answer as close as possible to the real value.
- template<bool>
- struct _Norm_helper
- {
- template<typename _Tp>
- static inline _GLIBCXX20_CONSTEXPR _Tp _S_do_it(const complex<_Tp>& __z)
- {
- const _Tp __x = __z.real();
- const _Tp __y = __z.imag();
- return __x * __x + __y * __y;
- }
- };
+#if defined(__STDCPP_FLOAT32_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32)
+ inline _Float32
+ __complex_abs(__complex__ _Float32 __z) { return __builtin_cabsf(__z); }
- template<>
- struct _Norm_helper<true>
- {
- template<typename _Tp>
- static inline _GLIBCXX20_CONSTEXPR _Tp _S_do_it(const complex<_Tp>& __z)
- {
- //_Tp __res = std::abs(__z);
- //return __res * __res;
- const _Tp __x = __z.real();
- const _Tp __y = __z.imag();
- return __x * __x + __y * __y;
- }
- };
+ inline _Float32
+ __complex_arg(__complex__ _Float32 __z) { return __builtin_cargf(__z); }
- template<typename _Tp>
- inline _GLIBCXX20_CONSTEXPR _Tp
- norm(const complex<_Tp>& __z)
- {
- return _Norm_helper<__is_floating<_Tp>::__value
- && !_GLIBCXX_FAST_MATH>::_S_do_it(__z);
- }
+ inline __complex__ _Float32
+ __complex_cos(__complex__ _Float32 __z) { return __builtin_ccosf(__z); }
- template<typename _Tp>
- inline complex<_Tp>
- polar(const _Tp& __rho, const _Tp& __theta)
- {
- __glibcxx_assert( __rho >= 0 );
- return complex<_Tp>(__rho * cos(__theta), __rho * sin(__theta));
- }
+ inline __complex__ _Float32
+ __complex_cosh(__complex__ _Float32 __z) { return __builtin_ccoshf(__z); }
- template<typename _Tp>
- inline _GLIBCXX20_CONSTEXPR complex<_Tp>
- conj(const complex<_Tp>& __z)
- { return complex<_Tp>(__z.real(), -__z.imag()); }
+ inline __complex__ _Float32
+ __complex_exp(__complex__ _Float32 __z) { return __builtin_cexpf(__z); }
- // Transcendentals
+ inline __complex__ _Float32
+ __complex_log(__complex__ _Float32 __z) { return __builtin_clogf(__z); }
- // 26.2.8/1 cos(__z): Returns the cosine of __z.
- template<typename _Tp>
- inline complex<_Tp>
- __complex_cos(const complex<_Tp>& __z)
- {
- const _Tp __x = __z.real();
- const _Tp __y = __z.imag();
- return complex<_Tp>(cos(__x) * cosh(__y), -sin(__x) * sinh(__y));
- }
+ inline __complex__ _Float32
+ __complex_sin(__complex__ _Float32 __z) { return __builtin_csinf(__z); }
-#if _GLIBCXX_USE_C99_COMPLEX
- inline __complex__ float
- __complex_cos(__complex__ float __z) { return __builtin_ccosf(__z); }
+ inline __complex__ _Float32
+ __complex_sinh(__complex__ _Float32 __z) { return __builtin_csinhf(__z); }
- inline __complex__ double
- __complex_cos(__complex__ double __z) { return __builtin_ccos(__z); }
+ inline __complex__ _Float32
+ __complex_sqrt(__complex__ _Float32 __z) { return __builtin_csqrtf(__z); }
- inline __complex__ long double
- __complex_cos(const __complex__ long double& __z)
- { return __builtin_ccosl(__z); }
+ inline __complex__ _Float32
+ __complex_tan(__complex__ _Float32 __z) { return __builtin_ctanf(__z); }
- template<typename _Tp>
- inline complex<_Tp>
- cos(const complex<_Tp>& __z) { return __complex_cos(__z.__rep()); }
-#else
- template<typename _Tp>
- inline complex<_Tp>
- cos(const complex<_Tp>& __z) { return __complex_cos(__z); }
+ inline __complex__ _Float32
+ __complex_tanh(__complex__ _Float32 __z) { return __builtin_ctanhf(__z); }
+
+ inline __complex__ _Float32
+ __complex_pow(__complex__ _Float32 __x, __complex__ _Float32 __y)
+ { return __builtin_cpowf(__x, __y); }
#endif
- // 26.2.8/2 cosh(__z): Returns the hyperbolic cosine of __z.
- template<typename _Tp>
- inline complex<_Tp>
- __complex_cosh(const complex<_Tp>& __z)
- {
- const _Tp __x = __z.real();
- const _Tp __y = __z.imag();
- return complex<_Tp>(cosh(__x) * cos(__y), sinh(__x) * sin(__y));
- }
+#if defined(__STDCPP_FLOAT64_T__) && defined(_GLIBCXX_DOUBLE_IS_IEEE_BINARY64)
+ inline _Float64
+ __complex_abs(__complex__ _Float64 __z) { return __builtin_cabs(__z); }
-#if _GLIBCXX_USE_C99_COMPLEX
- inline __complex__ float
- __complex_cosh(__complex__ float __z) { return __builtin_ccoshf(__z); }
+ inline _Float64
+ __complex_arg(__complex__ _Float64 __z) { return __builtin_carg(__z); }
- inline __complex__ double
- __complex_cosh(__complex__ double __z) { return __builtin_ccosh(__z); }
+ inline __complex__ _Float64
+ __complex_cos(__complex__ _Float64 __z) { return __builtin_ccos(__z); }
- inline __complex__ long double
- __complex_cosh(const __complex__ long double& __z)
- { return __builtin_ccoshl(__z); }
+ inline __complex__ _Float64
+ __complex_cosh(__complex__ _Float64 __z) { return __builtin_ccosh(__z); }
- template<typename _Tp>
- inline complex<_Tp>
- cosh(const complex<_Tp>& __z) { return __complex_cosh(__z.__rep()); }
-#else
- template<typename _Tp>
- inline complex<_Tp>
- cosh(const complex<_Tp>& __z) { return __complex_cosh(__z); }
+ inline __complex__ _Float64
+ __complex_exp(__complex__ _Float64 __z) { return __builtin_cexp(__z); }
+
+ inline __complex__ _Float64
+ __complex_log(__complex__ _Float64 __z) { return __builtin_clog(__z); }
+
+ inline __complex__ _Float64
+ __complex_sin(__complex__ _Float64 __z) { return __builtin_csin(__z); }
+
+ inline __complex__ _Float64
+ __complex_sinh(__complex__ _Float64 __z) { return __builtin_csinh(__z); }
+
+ inline __complex__ _Float64
+ __complex_sqrt(__complex__ _Float64 __z) { return __builtin_csqrt(__z); }
+
+ inline __complex__ _Float64
+ __complex_tan(__complex__ _Float64 __z) { return __builtin_ctan(__z); }
+
+ inline __complex__ _Float64
+ __complex_tanh(__complex__ _Float64 __z) { return __builtin_ctanh(__z); }
+
+ inline __complex__ _Float64
+ __complex_pow(__complex__ _Float64 __x, __complex__ _Float64 __y)
+ { return __builtin_cpow(__x, __y); }
#endif
- // 26.2.8/3 exp(__z): Returns the complex base e exponential of x
- template<typename _Tp>
- inline complex<_Tp>
- __complex_exp(const complex<_Tp>& __z)
- { return std::polar<_Tp>(exp(__z.real()), __z.imag()); }
+#if defined(__STDCPP_FLOAT128_T__) && defined(_GLIBCXX_LDOUBLE_IS_IEEE_BINARY128)
+ inline _Float128
+ __complex_abs(__complex__ _Float128 __z) { return __builtin_cabsl(__z); }
+
+ inline _Float128
+ __complex_arg(__complex__ _Float128 __z) { return __builtin_cargl(__z); }
+
+ inline __complex__ _Float128
+ __complex_cos(__complex__ _Float128 __z) { return __builtin_ccosl(__z); }
+
+ inline __complex__ _Float128
+ __complex_cosh(__complex__ _Float128 __z) { return __builtin_ccoshl(__z); }
+
+ inline __complex__ _Float128
+ __complex_exp(__complex__ _Float128 __z) { return __builtin_cexpl(__z); }
+
+ inline __complex__ _Float128
+ __complex_log(__complex__ _Float128 __z) { return __builtin_clogl(__z); }
+
+ inline __complex__ _Float128
+ __complex_sin(__complex__ _Float128 __z) { return __builtin_csinl(__z); }
+
+ inline __complex__ _Float128
+ __complex_sinh(__complex__ _Float128 __z) { return __builtin_csinhl(__z); }
-#if _GLIBCXX_USE_C99_COMPLEX
- inline __complex__ float
- __complex_exp(__complex__ float __z) { return __builtin_cexpf(__z); }
+ inline __complex__ _Float128
+ __complex_sqrt(__complex__ _Float128 __z) { return __builtin_csqrtl(__z); }
- inline __complex__ double
- __complex_exp(__complex__ double __z) { return __builtin_cexp(__z); }
+ inline __complex__ _Float128
+ __complex_tan(__complex__ _Float128 __z) { return __builtin_ctanl(__z); }
- inline __complex__ long double
- __complex_exp(const __complex__ long double& __z)
- { return __builtin_cexpl(__z); }
+ inline __complex__ _Float128
+ __complex_tanh(__complex__ _Float128 __z) { return __builtin_ctanhl(__z); }
- template<typename _Tp>
- inline complex<_Tp>
- exp(const complex<_Tp>& __z) { return __complex_exp(__z.__rep()); }
-#else
- template<typename _Tp>
- inline complex<_Tp>
- exp(const complex<_Tp>& __z) { return __complex_exp(__z); }
-#endif
+ inline __complex__ _Float128
+ __complex_pow(__complex__ _Float128 __x, __complex__ _Float128 __y)
+ { return __builtin_cpowl(__x, __y); }
+#elif defined(__STDCPP_FLOAT128_T__) && defined(_GLIBCXX_HAVE_FLOAT128_MATH)
+ inline _Float128
+ __complex_abs(__complex__ _Float128 __z) { return __builtin_cabsf128(__z); }
- // 26.2.8/5 log(__z): Returns the natural complex logarithm of __z.
- // The branch cut is along the negative axis.
- template<typename _Tp>
- inline complex<_Tp>
- __complex_log(const complex<_Tp>& __z)
- { return complex<_Tp>(log(std::abs(__z)), std::arg(__z)); }
+ inline _Float128
+ __complex_arg(__complex__ _Float128 __z) { return __builtin_cargf128(__z); }
-#if _GLIBCXX_USE_C99_COMPLEX
- inline __complex__ float
- __complex_log(__complex__ float __z) { return __builtin_clogf(__z); }
+ inline __complex__ _Float128
+ __complex_cos(__complex__ _Float128 __z) { return __builtin_ccosf128(__z); }
- inline __complex__ double
- __complex_log(__complex__ double __z) { return __builtin_clog(__z); }
+ inline __complex__ _Float128
+ __complex_cosh(__complex__ _Float128 __z) { return __builtin_ccoshf128(__z); }
- inline __complex__ long double
- __complex_log(const __complex__ long double& __z)
- { return __builtin_clogl(__z); }
+ inline __complex__ _Float128
+ __complex_exp(__complex__ _Float128 __z) { return __builtin_cexpf128(__z); }
- template<typename _Tp>
- inline complex<_Tp>
- log(const complex<_Tp>& __z) { return __complex_log(__z.__rep()); }
-#else
- template<typename _Tp>
- inline complex<_Tp>
- log(const complex<_Tp>& __z) { return __complex_log(__z); }
-#endif
+ inline __complex__ _Float128
+ __complex_log(__complex__ _Float128 __z) { return __builtin_clogf128(__z); }
- template<typename _Tp>
- inline complex<_Tp>
- log10(const complex<_Tp>& __z)
- { return std::log(__z) / log(_Tp(10.0)); }
+ inline __complex__ _Float128
+ __complex_sin(__complex__ _Float128 __z) { return __builtin_csinf128(__z); }
- // 26.2.8/10 sin(__z): Returns the sine of __z.
- template<typename _Tp>
- inline complex<_Tp>
- __complex_sin(const complex<_Tp>& __z)
- {
- const _Tp __x = __z.real();
- const _Tp __y = __z.imag();
- return complex<_Tp>(sin(__x) * cosh(__y), cos(__x) * sinh(__y));
- }
+ inline __complex__ _Float128
+ __complex_sinh(__complex__ _Float128 __z) { return __builtin_csinhf128(__z); }
-#if _GLIBCXX_USE_C99_COMPLEX
- inline __complex__ float
- __complex_sin(__complex__ float __z) { return __builtin_csinf(__z); }
+ inline __complex__ _Float128
+ __complex_sqrt(__complex__ _Float128 __z) { return __builtin_csqrtf128(__z); }
- inline __complex__ double
- __complex_sin(__complex__ double __z) { return __builtin_csin(__z); }
+ inline __complex__ _Float128
+ __complex_tan(__complex__ _Float128 __z) { return __builtin_ctanf128(__z); }
- inline __complex__ long double
- __complex_sin(const __complex__ long double& __z)
- { return __builtin_csinl(__z); }
+ inline __complex__ _Float128
+ __complex_tanh(__complex__ _Float128 __z) { return __builtin_ctanhf128(__z); }
- template<typename _Tp>
- inline complex<_Tp>
- sin(const complex<_Tp>& __z) { return __complex_sin(__z.__rep()); }
-#else
- template<typename _Tp>
- inline complex<_Tp>
- sin(const complex<_Tp>& __z) { return __complex_sin(__z); }
+ inline __complex__ _Float128
+ __complex_pow(__complex__ _Float128 __x, __complex__ _Float128 __y)
+ { return __builtin_cpowf128(__x, __y); }
#endif
- // 26.2.8/11 sinh(__z): Returns the hyperbolic sine of __z.
- template<typename _Tp>
- inline complex<_Tp>
- __complex_sinh(const complex<_Tp>& __z)
- {
- const _Tp __x = __z.real();
- const _Tp __y = __z.imag();
- return complex<_Tp>(sinh(__x) * cos(__y), cosh(__x) * sin(__y));
- }
+#if defined(__STDCPP_BFLOAT16_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32)
+ inline __gnu_cxx::__bfloat16_t
+ __complex_abs(__complex__ decltype(0.0bf16) __z)
+ { return __gnu_cxx::__bfloat16_t(__builtin_cabsf(__z)); }
-#if _GLIBCXX_USE_C99_COMPLEX
- inline __complex__ float
- __complex_sinh(__complex__ float __z) { return __builtin_csinhf(__z); }
+ inline __gnu_cxx::__bfloat16_t
+ __complex_arg(__complex__ decltype(0.0bf16) __z)
+ { return __gnu_cxx::__bfloat16_t(__builtin_cargf(__z)); }
- inline __complex__ double
- __complex_sinh(__complex__ double __z) { return __builtin_csinh(__z); }
+ inline __complex__ decltype(0.0bf16)
+ __complex_cos(__complex__ decltype(0.0bf16) __z)
+ { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_ccosf(__z)); }
- inline __complex__ long double
- __complex_sinh(const __complex__ long double& __z)
- { return __builtin_csinhl(__z); }
+ inline __complex__ decltype(0.0bf16)
+ __complex_cosh(__complex__ decltype(0.0bf16) __z)
+ { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_ccoshf(__z)); }
- template<typename _Tp>
- inline complex<_Tp>
- sinh(const complex<_Tp>& __z) { return __complex_sinh(__z.__rep()); }
-#else
- template<typename _Tp>
- inline complex<_Tp>
- sinh(const complex<_Tp>& __z) { return __complex_sinh(__z); }
-#endif
+ inline __complex__ decltype(0.0bf16)
+ __complex_exp(__complex__ decltype(0.0bf16) __z)
+ { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_cexpf(__z)); }
- // 26.2.8/13 sqrt(__z): Returns the complex square root of __z.
- // The branch cut is on the negative axis.
- template<typename _Tp>
- complex<_Tp>
- __complex_sqrt(const complex<_Tp>& __z)
- {
- _Tp __x = __z.real();
- _Tp __y = __z.imag();
+ inline __complex__ decltype(0.0bf16)
+ __complex_log(__complex__ decltype(0.0bf16) __z)
+ { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_clogf(__z)); }
- if (__x == _Tp())
- {
- _Tp __t = sqrt(abs(__y) / 2);
- return complex<_Tp>(__t, __y < _Tp() ? -__t : __t);
- }
- else
- {
- _Tp __t = sqrt(2 * (std::abs(__z) + abs(__x)));
- _Tp __u = __t / 2;
- return __x > _Tp()
- ? complex<_Tp>(__u, __y / __t)
- : complex<_Tp>(abs(__y) / __t, __y < _Tp() ? -__u : __u);
- }
- }
+ inline __complex__ decltype(0.0bf16)
+ __complex_sin(__complex__ decltype(0.0bf16) __z)
+ { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_csinf(__z)); }
-#if _GLIBCXX_USE_C99_COMPLEX
- inline __complex__ float
- __complex_sqrt(__complex__ float __z) { return __builtin_csqrtf(__z); }
+ inline __complex__ decltype(0.0bf16)
+ __complex_sinh(__complex__ decltype(0.0bf16) __z)
+ { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_csinhf(__z)); }
- inline __complex__ double
- __complex_sqrt(__complex__ double __z) { return __builtin_csqrt(__z); }
+ inline __complex__ decltype(0.0bf16)
+ __complex_sqrt(__complex__ decltype(0.0bf16) __z)
+ { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_csqrtf(__z)); }
- inline __complex__ long double
- __complex_sqrt(const __complex__ long double& __z)
- { return __builtin_csqrtl(__z); }
+ inline __complex__ decltype(0.0bf16)
+ __complex_tan(__complex__ decltype(0.0bf16) __z)
+ { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_ctanf(__z)); }
- template<typename _Tp>
- inline complex<_Tp>
- sqrt(const complex<_Tp>& __z) { return __complex_sqrt(__z.__rep()); }
-#else
- template<typename _Tp>
- inline complex<_Tp>
- sqrt(const complex<_Tp>& __z) { return __complex_sqrt(__z); }
-#endif
+ inline __complex__ decltype(0.0bf16)
+ __complex_tanh(__complex__ decltype(0.0bf16) __z)
+ { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_ctanhf(__z)); }
- // 26.2.8/14 tan(__z): Return the complex tangent of __z.
+ inline __complex__ decltype(0.0bf16)
+ __complex_pow(__complex__ decltype(0.0bf16) __x,
+ __complex__ decltype(0.0bf16) __y)
+ { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_cpowf(__x,
+ __y)); }
+#endif
+#endif
+ // 26.2.7/3 abs(__z): Returns the magnitude of __z.
template<typename _Tp>
- inline complex<_Tp>
- __complex_tan(const complex<_Tp>& __z)
- { return std::sin(__z) / std::cos(__z); }
+ inline _Tp
+ __complex_abs(const complex<_Tp>& __z)
+ {
+ _Tp __x = __z.real();
+ _Tp __y = __z.imag();
+ const _Tp __s = std::max(abs(__x), abs(__y));
+ if (__s == _Tp()) // well ...
+ return __s;
+ __x /= __s;
+ __y /= __s;
+ return __s * sqrt(__x * __x + __y * __y);
+ }
#if _GLIBCXX_USE_C99_COMPLEX
- inline __complex__ float
- __complex_tan(__complex__ float __z) { return __builtin_ctanf(__z); }
+ inline float
+ __complex_abs(__complex__ float __z) { return __builtin_cabsf(__z); }
- inline __complex__ double
- __complex_tan(__complex__ double __z) { return __builtin_ctan(__z); }
+ inline double
+ __complex_abs(__complex__ double __z) { return __builtin_cabs(__z); }
- inline __complex__ long double
- __complex_tan(const __complex__ long double& __z)
- { return __builtin_ctanl(__z); }
+ inline long double
+ __complex_abs(const __complex__ long double& __z)
+ { return __builtin_cabsl(__z); }
template<typename _Tp>
- inline complex<_Tp>
- tan(const complex<_Tp>& __z) { return __complex_tan(__z.__rep()); }
+ inline _Tp
+ abs(const complex<_Tp>& __z) { return __complex_abs(__z.__rep()); }
#else
template<typename _Tp>
- inline complex<_Tp>
- tan(const complex<_Tp>& __z) { return __complex_tan(__z); }
+ inline _Tp
+ abs(const complex<_Tp>& __z) { return __complex_abs(__z); }
#endif
- // 26.2.8/15 tanh(__z): Returns the hyperbolic tangent of __z.
-
+ // 26.2.7/4: arg(__z): Returns the phase angle of __z.
template<typename _Tp>
- inline complex<_Tp>
- __complex_tanh(const complex<_Tp>& __z)
- { return std::sinh(__z) / std::cosh(__z); }
+ inline _Tp
+ __complex_arg(const complex<_Tp>& __z)
+ { return atan2(__z.imag(), __z.real()); }
#if _GLIBCXX_USE_C99_COMPLEX
- inline __complex__ float
- __complex_tanh(__complex__ float __z) { return __builtin_ctanhf(__z); }
+ inline float
+ __complex_arg(__complex__ float __z) { return __builtin_cargf(__z); }
- inline __complex__ double
- __complex_tanh(__complex__ double __z) { return __builtin_ctanh(__z); }
+ inline double
+ __complex_arg(__complex__ double __z) { return __builtin_carg(__z); }
- inline __complex__ long double
- __complex_tanh(const __complex__ long double& __z)
- { return __builtin_ctanhl(__z); }
+ inline long double
+ __complex_arg(const __complex__ long double& __z)
+ { return __builtin_cargl(__z); }
template<typename _Tp>
- inline complex<_Tp>
- tanh(const complex<_Tp>& __z) { return __complex_tanh(__z.__rep()); }
+ inline _Tp
+ arg(const complex<_Tp>& __z) { return __complex_arg(__z.__rep()); }
#else
template<typename _Tp>
- inline complex<_Tp>
- tanh(const complex<_Tp>& __z) { return __complex_tanh(__z); }
+ inline _Tp
+ arg(const complex<_Tp>& __z) { return __complex_arg(__z); }
#endif
-
- // 26.2.8/9 pow(__x, __y): Returns the complex power base of __x
- // raised to the __y-th power. The branch
- // cut is on the negative axis.
- template<typename _Tp>
- complex<_Tp>
- __complex_pow_unsigned(complex<_Tp> __x, unsigned __n)
+ // 26.2.7/5: norm(__z) returns the squared magnitude of __z.
+ // As defined, norm() is -not- a norm is the common mathematical
+ // sense used in numerics. The helper class _Norm_helper<> tries to
+ // distinguish between builtin floating point and the rest, so as
+ // to deliver an answer as close as possible to the real value.
+ template<bool>
+ struct _Norm_helper
{
- complex<_Tp> __y = __n % 2 ? __x : complex<_Tp>(1);
+ template<typename _Tp>
+ static inline _GLIBCXX20_CONSTEXPR _Tp _S_do_it(const complex<_Tp>& __z)
+ {
+ const _Tp __x = __z.real();
+ const _Tp __y = __z.imag();
+ return __x * __x + __y * __y;
+ }
+ };
- while (__n >>= 1)
+ template<>
+ struct _Norm_helper<true>
+ {
+ template<typename _Tp>
+ static inline _GLIBCXX20_CONSTEXPR _Tp _S_do_it(const complex<_Tp>& __z)
{
- __x *= __x;
- if (__n % 2)
- __y *= __x;
+ //_Tp __res = std::abs(__z);
+ //return __res * __res;
+ const _Tp __x = __z.real();
+ const _Tp __y = __z.imag();
+ return __x * __x + __y * __y;
}
+ };
- return __y;
+ template<typename _Tp>
+ inline _GLIBCXX20_CONSTEXPR _Tp
+ norm(const complex<_Tp>& __z)
+ {
+ return _Norm_helper<__is_floating<_Tp>::__value
+ && !_GLIBCXX_FAST_MATH>::_S_do_it(__z);
}
- // In C++11 mode we used to implement the resolution of
- // DR 844. complex pow return type is ambiguous.
- // thus the following overload was disabled in that mode. However, doing
- // that causes all sorts of issues, see, for example:
- // http://gcc.gnu.org/ml/libstdc++/2013-01/msg00058.html
- // and also PR57974.
template<typename _Tp>
inline complex<_Tp>
- pow(const complex<_Tp>& __z, int __n)
+ polar(const _Tp& __rho, const _Tp& __theta)
{
- return __n < 0
- ? complex<_Tp>(1) / std::__complex_pow_unsigned(__z, -(unsigned)__n)
- : std::__complex_pow_unsigned(__z, __n);
+ __glibcxx_assert( __rho >= 0 );
+ return complex<_Tp>(__rho * cos(__theta), __rho * sin(__theta));
}
template<typename _Tp>
- complex<_Tp>
- pow(const complex<_Tp>& __x, const _Tp& __y)
- {
-#if ! _GLIBCXX_USE_C99_COMPLEX
- if (__x == _Tp())
- return _Tp();
-#endif
- if (__x.imag() == _Tp() && __x.real() > _Tp())
- return pow(__x.real(), __y);
+ inline _GLIBCXX20_CONSTEXPR complex<_Tp>
+ conj(const complex<_Tp>& __z)
+ { return complex<_Tp>(__z.real(), -__z.imag()); }
- complex<_Tp> __t = std::log(__x);
- return std::polar<_Tp>(exp(__y * __t.real()), __y * __t.imag());
- }
+ // Transcendentals
+ // 26.2.8/1 cos(__z): Returns the cosine of __z.
template<typename _Tp>
inline complex<_Tp>
- __complex_pow(const complex<_Tp>& __x, const complex<_Tp>& __y)
- { return __x == _Tp() ? _Tp() : std::exp(__y * std::log(__x)); }
+ __complex_cos(const complex<_Tp>& __z)
+ {
+ const _Tp __x = __z.real();
+ const _Tp __y = __z.imag();
+ return complex<_Tp>(cos(__x) * cosh(__y), -sin(__x) * sinh(__y));
+ }
#if _GLIBCXX_USE_C99_COMPLEX
inline __complex__ float
- __complex_pow(__complex__ float __x, __complex__ float __y)
- { return __builtin_cpowf(__x, __y); }
+ __complex_cos(__complex__ float __z) { return __builtin_ccosf(__z); }
inline __complex__ double
- __complex_pow(__complex__ double __x, __complex__ double __y)
- { return __builtin_cpow(__x, __y); }
+ __complex_cos(__complex__ double __z) { return __builtin_ccos(__z); }
inline __complex__ long double
- __complex_pow(const __complex__ long double& __x,
- const __complex__ long double& __y)
- { return __builtin_cpowl(__x, __y); }
+ __complex_cos(const __complex__ long double& __z)
+ { return __builtin_ccosl(__z); }
template<typename _Tp>
inline complex<_Tp>
- pow(const complex<_Tp>& __x, const complex<_Tp>& __y)
- { return __complex_pow(__x.__rep(), __y.__rep()); }
+ cos(const complex<_Tp>& __z) { return __complex_cos(__z.__rep()); }
#else
template<typename _Tp>
inline complex<_Tp>
- pow(const complex<_Tp>& __x, const complex<_Tp>& __y)
- { return __complex_pow(__x, __y); }
+ cos(const complex<_Tp>& __z) { return __complex_cos(__z); }
#endif
+ // 26.2.8/2 cosh(__z): Returns the hyperbolic cosine of __z.
template<typename _Tp>
inline complex<_Tp>
- pow(const _Tp& __x, const complex<_Tp>& __y)
+ __complex_cosh(const complex<_Tp>& __z)
{
- return __x > _Tp() ? std::polar<_Tp>(pow(__x, __y.real()),
- __y.imag() * log(__x))
- : std::pow(complex<_Tp>(__x), __y);
+ const _Tp __x = __z.real();
+ const _Tp __y = __z.imag();
+ return complex<_Tp>(cosh(__x) * cos(__y), sinh(__x) * sin(__y));
}
#if _GLIBCXX_USE_C99_COMPLEX
-#if defined(__STDCPP_FLOAT16_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32)
- inline _Float16
- __complex_abs(__complex__ _Float16 __z)
- { return _Float16(__builtin_cabsf(__z)); }
-
- inline _Float16
- __complex_arg(__complex__ _Float16 __z)
- { return _Float16(__builtin_cargf(__z)); }
-
- inline __complex__ _Float16
- __complex_cos(__complex__ _Float16 __z)
- { return static_cast<__complex__ _Float16>(__builtin_ccosf(__z)); }
-
- inline __complex__ _Float16
- __complex_cosh(__complex__ _Float16 __z)
- { return static_cast<__complex__ _Float16>(__builtin_ccoshf(__z)); }
-
- inline __complex__ _Float16
- __complex_exp(__complex__ _Float16 __z)
- { return static_cast<__complex__ _Float16>(__builtin_cexpf(__z)); }
-
- inline __complex__ _Float16
- __complex_log(__complex__ _Float16 __z)
- { return static_cast<__complex__ _Float16>(__builtin_clogf(__z)); }
-
- inline __complex__ _Float16
- __complex_sin(__complex__ _Float16 __z)
- { return static_cast<__complex__ _Float16>(__builtin_csinf(__z)); }
-
- inline __complex__ _Float16
- __complex_sinh(__complex__ _Float16 __z)
- { return static_cast<__complex__ _Float16>(__builtin_csinhf(__z)); }
-
- inline __complex__ _Float16
- __complex_sqrt(__complex__ _Float16 __z)
- { return static_cast<__complex__ _Float16>(__builtin_csqrtf(__z)); }
+ inline __complex__ float
+ __complex_cosh(__complex__ float __z) { return __builtin_ccoshf(__z); }
- inline __complex__ _Float16
- __complex_tan(__complex__ _Float16 __z)
- { return static_cast<__complex__ _Float16>(__builtin_ctanf(__z)); }
+ inline __complex__ double
+ __complex_cosh(__complex__ double __z) { return __builtin_ccosh(__z); }
- inline __complex__ _Float16
- __complex_tanh(__complex__ _Float16 __z)
- { return static_cast<__complex__ _Float16>(__builtin_ctanhf(__z)); }
+ inline __complex__ long double
+ __complex_cosh(const __complex__ long double& __z)
+ { return __builtin_ccoshl(__z); }
- inline __complex__ _Float16
- __complex_pow(__complex__ _Float16 __x, __complex__ _Float16 __y)
- { return static_cast<__complex__ _Float16>(__builtin_cpowf(__x, __y)); }
+ template<typename _Tp>
+ inline complex<_Tp>
+ cosh(const complex<_Tp>& __z) { return __complex_cosh(__z.__rep()); }
+#else
+ template<typename _Tp>
+ inline complex<_Tp>
+ cosh(const complex<_Tp>& __z) { return __complex_cosh(__z); }
#endif
-#if defined(__STDCPP_FLOAT32_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32)
- inline _Float32
- __complex_abs(__complex__ _Float32 __z) { return __builtin_cabsf(__z); }
-
- inline _Float32
- __complex_arg(__complex__ _Float32 __z) { return __builtin_cargf(__z); }
-
- inline __complex__ _Float32
- __complex_cos(__complex__ _Float32 __z) { return __builtin_ccosf(__z); }
-
- inline __complex__ _Float32
- __complex_cosh(__complex__ _Float32 __z) { return __builtin_ccoshf(__z); }
-
- inline __complex__ _Float32
- __complex_exp(__complex__ _Float32 __z) { return __builtin_cexpf(__z); }
-
- inline __complex__ _Float32
- __complex_log(__complex__ _Float32 __z) { return __builtin_clogf(__z); }
-
- inline __complex__ _Float32
- __complex_sin(__complex__ _Float32 __z) { return __builtin_csinf(__z); }
-
- inline __complex__ _Float32
- __complex_sinh(__complex__ _Float32 __z) { return __builtin_csinhf(__z); }
+ // 26.2.8/3 exp(__z): Returns the complex base e exponential of x
+ template<typename _Tp>
+ inline complex<_Tp>
+ __complex_exp(const complex<_Tp>& __z)
+ { return std::polar<_Tp>(exp(__z.real()), __z.imag()); }
- inline __complex__ _Float32
- __complex_sqrt(__complex__ _Float32 __z) { return __builtin_csqrtf(__z); }
+#if _GLIBCXX_USE_C99_COMPLEX
+ inline __complex__ float
+ __complex_exp(__complex__ float __z) { return __builtin_cexpf(__z); }
- inline __complex__ _Float32
- __complex_tan(__complex__ _Float32 __z) { return __builtin_ctanf(__z); }
+ inline __complex__ double
+ __complex_exp(__complex__ double __z) { return __builtin_cexp(__z); }
- inline __complex__ _Float32
- __complex_tanh(__complex__ _Float32 __z) { return __builtin_ctanhf(__z); }
+ inline __complex__ long double
+ __complex_exp(const __complex__ long double& __z)
+ { return __builtin_cexpl(__z); }
- inline __complex__ _Float32
- __complex_pow(__complex__ _Float32 __x, __complex__ _Float32 __y)
- { return __builtin_cpowf(__x, __y); }
+ template<typename _Tp>
+ inline complex<_Tp>
+ exp(const complex<_Tp>& __z) { return __complex_exp(__z.__rep()); }
+#else
+ template<typename _Tp>
+ inline complex<_Tp>
+ exp(const complex<_Tp>& __z) { return __complex_exp(__z); }
#endif
-#if defined(__STDCPP_FLOAT64_T__) && defined(_GLIBCXX_DOUBLE_IS_IEEE_BINARY64)
- inline _Float64
- __complex_abs(__complex__ _Float64 __z) { return __builtin_cabs(__z); }
-
- inline _Float64
- __complex_arg(__complex__ _Float64 __z) { return __builtin_carg(__z); }
+ // 26.2.8/5 log(__z): Returns the natural complex logarithm of __z.
+ // The branch cut is along the negative axis.
+ template<typename _Tp>
+ inline complex<_Tp>
+ __complex_log(const complex<_Tp>& __z)
+ { return complex<_Tp>(log(std::abs(__z)), std::arg(__z)); }
- inline __complex__ _Float64
- __complex_cos(__complex__ _Float64 __z) { return __builtin_ccos(__z); }
+#if _GLIBCXX_USE_C99_COMPLEX
+ inline __complex__ float
+ __complex_log(__complex__ float __z) { return __builtin_clogf(__z); }
- inline __complex__ _Float64
- __complex_cosh(__complex__ _Float64 __z) { return __builtin_ccosh(__z); }
+ inline __complex__ double
+ __complex_log(__complex__ double __z) { return __builtin_clog(__z); }
- inline __complex__ _Float64
- __complex_exp(__complex__ _Float64 __z) { return __builtin_cexp(__z); }
+ inline __complex__ long double
+ __complex_log(const __complex__ long double& __z)
+ { return __builtin_clogl(__z); }
- inline __complex__ _Float64
- __complex_log(__complex__ _Float64 __z) { return __builtin_clog(__z); }
+ template<typename _Tp>
+ inline complex<_Tp>
+ log(const complex<_Tp>& __z) { return __complex_log(__z.__rep()); }
+#else
+ template<typename _Tp>
+ inline complex<_Tp>
+ log(const complex<_Tp>& __z) { return __complex_log(__z); }
+#endif
- inline __complex__ _Float64
- __complex_sin(__complex__ _Float64 __z) { return __builtin_csin(__z); }
+ template<typename _Tp>
+ inline complex<_Tp>
+ log10(const complex<_Tp>& __z)
+ { return std::log(__z) / log(_Tp(10.0)); }
- inline __complex__ _Float64
- __complex_sinh(__complex__ _Float64 __z) { return __builtin_csinh(__z); }
+ // 26.2.8/10 sin(__z): Returns the sine of __z.
+ template<typename _Tp>
+ inline complex<_Tp>
+ __complex_sin(const complex<_Tp>& __z)
+ {
+ const _Tp __x = __z.real();
+ const _Tp __y = __z.imag();
+ return complex<_Tp>(sin(__x) * cosh(__y), cos(__x) * sinh(__y));
+ }
- inline __complex__ _Float64
- __complex_sqrt(__complex__ _Float64 __z) { return __builtin_csqrt(__z); }
+#if _GLIBCXX_USE_C99_COMPLEX
+ inline __complex__ float
+ __complex_sin(__complex__ float __z) { return __builtin_csinf(__z); }
- inline __complex__ _Float64
- __complex_tan(__complex__ _Float64 __z) { return __builtin_ctan(__z); }
+ inline __complex__ double
+ __complex_sin(__complex__ double __z) { return __builtin_csin(__z); }
- inline __complex__ _Float64
- __complex_tanh(__complex__ _Float64 __z) { return __builtin_ctanh(__z); }
+ inline __complex__ long double
+ __complex_sin(const __complex__ long double& __z)
+ { return __builtin_csinl(__z); }
- inline __complex__ _Float64
- __complex_pow(__complex__ _Float64 __x, __complex__ _Float64 __y)
- { return __builtin_cpow(__x, __y); }
+ template<typename _Tp>
+ inline complex<_Tp>
+ sin(const complex<_Tp>& __z) { return __complex_sin(__z.__rep()); }
+#else
+ template<typename _Tp>
+ inline complex<_Tp>
+ sin(const complex<_Tp>& __z) { return __complex_sin(__z); }
#endif
-#if defined(__STDCPP_FLOAT128_T__) && defined(_GLIBCXX_LDOUBLE_IS_IEEE_BINARY128)
- inline _Float128
- __complex_abs(__complex__ _Float128 __z) { return __builtin_cabsl(__z); }
+ // 26.2.8/11 sinh(__z): Returns the hyperbolic sine of __z.
+ template<typename _Tp>
+ inline complex<_Tp>
+ __complex_sinh(const complex<_Tp>& __z)
+ {
+ const _Tp __x = __z.real();
+ const _Tp __y = __z.imag();
+ return complex<_Tp>(sinh(__x) * cos(__y), cosh(__x) * sin(__y));
+ }
- inline _Float128
- __complex_arg(__complex__ _Float128 __z) { return __builtin_cargl(__z); }
+#if _GLIBCXX_USE_C99_COMPLEX
+ inline __complex__ float
+ __complex_sinh(__complex__ float __z) { return __builtin_csinhf(__z); }
- inline __complex__ _Float128
- __complex_cos(__complex__ _Float128 __z) { return __builtin_ccosl(__z); }
+ inline __complex__ double
+ __complex_sinh(__complex__ double __z) { return __builtin_csinh(__z); }
- inline __complex__ _Float128
- __complex_cosh(__complex__ _Float128 __z) { return __builtin_ccoshl(__z); }
+ inline __complex__ long double
+ __complex_sinh(const __complex__ long double& __z)
+ { return __builtin_csinhl(__z); }
- inline __complex__ _Float128
- __complex_exp(__complex__ _Float128 __z) { return __builtin_cexpl(__z); }
+ template<typename _Tp>
+ inline complex<_Tp>
+ sinh(const complex<_Tp>& __z) { return __complex_sinh(__z.__rep()); }
+#else
+ template<typename _Tp>
+ inline complex<_Tp>
+ sinh(const complex<_Tp>& __z) { return __complex_sinh(__z); }
+#endif
- inline __complex__ _Float128
- __complex_log(__complex__ _Float128 __z) { return __builtin_clogl(__z); }
+ // 26.2.8/13 sqrt(__z): Returns the complex square root of __z.
+ // The branch cut is on the negative axis.
+ template<typename _Tp>
+ complex<_Tp>
+ __complex_sqrt(const complex<_Tp>& __z)
+ {
+ _Tp __x = __z.real();
+ _Tp __y = __z.imag();
- inline __complex__ _Float128
- __complex_sin(__complex__ _Float128 __z) { return __builtin_csinl(__z); }
+ if (__x == _Tp())
+ {
+ _Tp __t = sqrt(abs(__y) / 2);
+ return complex<_Tp>(__t, __y < _Tp() ? -__t : __t);
+ }
+ else
+ {
+ _Tp __t = sqrt(2 * (std::abs(__z) + abs(__x)));
+ _Tp __u = __t / 2;
+ return __x > _Tp()
+ ? complex<_Tp>(__u, __y / __t)
+ : complex<_Tp>(abs(__y) / __t, __y < _Tp() ? -__u : __u);
+ }
+ }
- inline __complex__ _Float128
- __complex_sinh(__complex__ _Float128 __z) { return __builtin_csinhl(__z); }
+#if _GLIBCXX_USE_C99_COMPLEX
+ inline __complex__ float
+ __complex_sqrt(__complex__ float __z) { return __builtin_csqrtf(__z); }
- inline __complex__ _Float128
- __complex_sqrt(__complex__ _Float128 __z) { return __builtin_csqrtl(__z); }
+ inline __complex__ double
+ __complex_sqrt(__complex__ double __z) { return __builtin_csqrt(__z); }
- inline __complex__ _Float128
- __complex_tan(__complex__ _Float128 __z) { return __builtin_ctanl(__z); }
+ inline __complex__ long double
+ __complex_sqrt(const __complex__ long double& __z)
+ { return __builtin_csqrtl(__z); }
- inline __complex__ _Float128
- __complex_tanh(__complex__ _Float128 __z) { return __builtin_ctanhl(__z); }
+ template<typename _Tp>
+ inline complex<_Tp>
+ sqrt(const complex<_Tp>& __z) { return __complex_sqrt(__z.__rep()); }
+#else
+ template<typename _Tp>
+ inline complex<_Tp>
+ sqrt(const complex<_Tp>& __z) { return __complex_sqrt(__z); }
+#endif
- inline __complex__ _Float128
- __complex_pow(__complex__ _Float128 __x, __complex__ _Float128 __y)
- { return __builtin_cpowl(__x, __y); }
-#elif defined(__STDCPP_FLOAT128_T__) && defined(_GLIBCXX_HAVE_FLOAT128_MATH)
- inline _Float128
- __complex_abs(__complex__ _Float128 __z) { return __builtin_cabsf128(__z); }
+ // 26.2.8/14 tan(__z): Return the complex tangent of __z.
- inline _Float128
- __complex_arg(__complex__ _Float128 __z) { return __builtin_cargf128(__z); }
+ template<typename _Tp>
+ inline complex<_Tp>
+ __complex_tan(const complex<_Tp>& __z)
+ { return std::sin(__z) / std::cos(__z); }
- inline __complex__ _Float128
- __complex_cos(__complex__ _Float128 __z) { return __builtin_ccosf128(__z); }
+#if _GLIBCXX_USE_C99_COMPLEX
+ inline __complex__ float
+ __complex_tan(__complex__ float __z) { return __builtin_ctanf(__z); }
- inline __complex__ _Float128
- __complex_cosh(__complex__ _Float128 __z) { return __builtin_ccoshf128(__z); }
+ inline __complex__ double
+ __complex_tan(__complex__ double __z) { return __builtin_ctan(__z); }
- inline __complex__ _Float128
- __complex_exp(__complex__ _Float128 __z) { return __builtin_cexpf128(__z); }
+ inline __complex__ long double
+ __complex_tan(const __complex__ long double& __z)
+ { return __builtin_ctanl(__z); }
- inline __complex__ _Float128
- __complex_log(__complex__ _Float128 __z) { return __builtin_clogf128(__z); }
+ template<typename _Tp>
+ inline complex<_Tp>
+ tan(const complex<_Tp>& __z) { return __complex_tan(__z.__rep()); }
+#else
+ template<typename _Tp>
+ inline complex<_Tp>
+ tan(const complex<_Tp>& __z) { return __complex_tan(__z); }
+#endif
- inline __complex__ _Float128
- __complex_sin(__complex__ _Float128 __z) { return __builtin_csinf128(__z); }
- inline __complex__ _Float128
- __complex_sinh(__complex__ _Float128 __z) { return __builtin_csinhf128(__z); }
+ // 26.2.8/15 tanh(__z): Returns the hyperbolic tangent of __z.
- inline __complex__ _Float128
- __complex_sqrt(__complex__ _Float128 __z) { return __builtin_csqrtf128(__z); }
+ template<typename _Tp>
+ inline complex<_Tp>
+ __complex_tanh(const complex<_Tp>& __z)
+ { return std::sinh(__z) / std::cosh(__z); }
- inline __complex__ _Float128
- __complex_tan(__complex__ _Float128 __z) { return __builtin_ctanf128(__z); }
+#if _GLIBCXX_USE_C99_COMPLEX
+ inline __complex__ float
+ __complex_tanh(__complex__ float __z) { return __builtin_ctanhf(__z); }
- inline __complex__ _Float128
- __complex_tanh(__complex__ _Float128 __z) { return __builtin_ctanhf128(__z); }
+ inline __complex__ double
+ __complex_tanh(__complex__ double __z) { return __builtin_ctanh(__z); }
- inline __complex__ _Float128
- __complex_pow(__complex__ _Float128 __x, __complex__ _Float128 __y)
- { return __builtin_cpowf128(__x, __y); }
+ inline __complex__ long double
+ __complex_tanh(const __complex__ long double& __z)
+ { return __builtin_ctanhl(__z); }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ tanh(const complex<_Tp>& __z) { return __complex_tanh(__z.__rep()); }
+#else
+ template<typename _Tp>
+ inline complex<_Tp>
+ tanh(const complex<_Tp>& __z) { return __complex_tanh(__z); }
#endif
-#if defined(__STDCPP_BFLOAT16_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32)
- inline __gnu_cxx::__bfloat16_t
- __complex_abs(__complex__ decltype(0.0bf16) __z)
- { return __gnu_cxx::__bfloat16_t(__builtin_cabsf(__z)); }
- inline __gnu_cxx::__bfloat16_t
- __complex_arg(__complex__ decltype(0.0bf16) __z)
- { return __gnu_cxx::__bfloat16_t(__builtin_cargf(__z)); }
+ // 26.2.8/9 pow(__x, __y): Returns the complex power base of __x
+ // raised to the __y-th power. The branch
+ // cut is on the negative axis.
+ template<typename _Tp>
+ complex<_Tp>
+ __complex_pow_unsigned(complex<_Tp> __x, unsigned __n)
+ {
+ complex<_Tp> __y = __n % 2 ? __x : complex<_Tp>(1);
- inline __complex__ decltype(0.0bf16)
- __complex_cos(__complex__ decltype(0.0bf16) __z)
- { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_ccosf(__z)); }
+ while (__n >>= 1)
+ {
+ __x *= __x;
+ if (__n % 2)
+ __y *= __x;
+ }
- inline __complex__ decltype(0.0bf16)
- __complex_cosh(__complex__ decltype(0.0bf16) __z)
- { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_ccoshf(__z)); }
+ return __y;
+ }
- inline __complex__ decltype(0.0bf16)
- __complex_exp(__complex__ decltype(0.0bf16) __z)
- { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_cexpf(__z)); }
+ // In C++11 mode we used to implement the resolution of
+ // DR 844. complex pow return type is ambiguous.
+ // thus the following overload was disabled in that mode. However, doing
+ // that causes all sorts of issues, see, for example:
+ // http://gcc.gnu.org/ml/libstdc++/2013-01/msg00058.html
+ // and also PR57974.
+ template<typename _Tp>
+ inline complex<_Tp>
+ pow(const complex<_Tp>& __z, int __n)
+ {
+ return __n < 0
+ ? complex<_Tp>(1) / std::__complex_pow_unsigned(__z, -(unsigned)__n)
+ : std::__complex_pow_unsigned(__z, __n);
+ }
- inline __complex__ decltype(0.0bf16)
- __complex_log(__complex__ decltype(0.0bf16) __z)
- { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_clogf(__z)); }
+ template<typename _Tp>
+ complex<_Tp>
+ pow(const complex<_Tp>& __x, const _Tp& __y)
+ {
+#if ! _GLIBCXX_USE_C99_COMPLEX
+ if (__x == _Tp())
+ return _Tp();
+#endif
+ if (__x.imag() == _Tp() && __x.real() > _Tp())
+ return pow(__x.real(), __y);
- inline __complex__ decltype(0.0bf16)
- __complex_sin(__complex__ decltype(0.0bf16) __z)
- { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_csinf(__z)); }
+ complex<_Tp> __t = std::log(__x);
+ return std::polar<_Tp>(exp(__y * __t.real()), __y * __t.imag());
+ }
- inline __complex__ decltype(0.0bf16)
- __complex_sinh(__complex__ decltype(0.0bf16) __z)
- { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_csinhf(__z)); }
+ template<typename _Tp>
+ inline complex<_Tp>
+ __complex_pow(const complex<_Tp>& __x, const complex<_Tp>& __y)
+ { return __x == _Tp() ? _Tp() : std::exp(__y * std::log(__x)); }
- inline __complex__ decltype(0.0bf16)
- __complex_sqrt(__complex__ decltype(0.0bf16) __z)
- { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_csqrtf(__z)); }
+#if _GLIBCXX_USE_C99_COMPLEX
+ inline __complex__ float
+ __complex_pow(__complex__ float __x, __complex__ float __y)
+ { return __builtin_cpowf(__x, __y); }
- inline __complex__ decltype(0.0bf16)
- __complex_tan(__complex__ decltype(0.0bf16) __z)
- { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_ctanf(__z)); }
+ inline __complex__ double
+ __complex_pow(__complex__ double __x, __complex__ double __y)
+ { return __builtin_cpow(__x, __y); }
- inline __complex__ decltype(0.0bf16)
- __complex_tanh(__complex__ decltype(0.0bf16) __z)
- { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_ctanhf(__z)); }
+ inline __complex__ long double
+ __complex_pow(const __complex__ long double& __x,
+ const __complex__ long double& __y)
+ { return __builtin_cpowl(__x, __y); }
- inline __complex__ decltype(0.0bf16)
- __complex_pow(__complex__ decltype(0.0bf16) __x,
- __complex__ decltype(0.0bf16) __y)
- { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_cpowf(__x,
- __y)); }
-#endif
+ template<typename _Tp>
+ inline complex<_Tp>
+ pow(const complex<_Tp>& __x, const complex<_Tp>& __y)
+ { return __complex_pow(__x.__rep(), __y.__rep()); }
+#else
+ template<typename _Tp>
+ inline complex<_Tp>
+ pow(const complex<_Tp>& __x, const complex<_Tp>& __y)
+ { return __complex_pow(__x, __y); }
#endif
+ template<typename _Tp>
+ inline complex<_Tp>
+ pow(const _Tp& __x, const complex<_Tp>& __y)
+ {
+ return __x > _Tp() ? std::polar<_Tp>(pow(__x, __y.real()),
+ __y.imag() * log(__x))
+ : std::pow(complex<_Tp>(__x), __y);
+ }
+
/// 26.2.3 complex specializations
/// complex<float> specialization
template<>
#endif
template<typename _Tp>
- requires(__complex_type<_Tp>::type)
+ requires requires { typename __complex_type<_Tp>::type; }
class complex<_Tp>
{
public:
};
#endif
-#if __cplusplus <= 202002L
- // These bits have to be at the end of this file, so that the
- // specializations have all been defined.
- inline _GLIBCXX_CONSTEXPR
- complex<float>::complex(const complex<double>& __z)
- : _M_value(__z.__rep()) { }
+#if __cplusplus <= 202002L
+ // These bits have to be at the end of this file, so that the
+ // specializations have all been defined.
+ inline _GLIBCXX_CONSTEXPR
+ complex<float>::complex(const complex<double>& __z)
+ : _M_value(__z.__rep()) { }
+
+ inline _GLIBCXX_CONSTEXPR
+ complex<float>::complex(const complex<long double>& __z)
+ : _M_value(__z.__rep()) { }
+
+ inline _GLIBCXX_CONSTEXPR
+ complex<double>::complex(const complex<long double>& __z)
+ : _M_value(__z.__rep()) { }
+#endif
+
+ // Inhibit implicit instantiations for required instantiations,
+ // which are defined via explicit instantiations elsewhere.
+ // NB: This syntax is a GNU extension.
+#if _GLIBCXX_EXTERN_TEMPLATE
+ extern template istream& operator>>(istream&, complex<float>&);
+ extern template ostream& operator<<(ostream&, const complex<float>&);
+ extern template istream& operator>>(istream&, complex<double>&);
+ extern template ostream& operator<<(ostream&, const complex<double>&);
+ extern template istream& operator>>(istream&, complex<long double>&);
+ extern template ostream& operator<<(ostream&, const complex<long double>&);
+
+#ifdef _GLIBCXX_USE_WCHAR_T
+ extern template wistream& operator>>(wistream&, complex<float>&);
+ extern template wostream& operator<<(wostream&, const complex<float>&);
+ extern template wistream& operator>>(wistream&, complex<double>&);
+ extern template wostream& operator<<(wostream&, const complex<double>&);
+ extern template wistream& operator>>(wistream&, complex<long double>&);
+ extern template wostream& operator<<(wostream&, const complex<long double>&);
+#endif
+#endif
+
+ /// @} group complex_numbers
+
+_GLIBCXX_END_NAMESPACE_VERSION
+} // namespace
+
+#if __cplusplus >= 201103L
+
+namespace std _GLIBCXX_VISIBILITY(default)
+{
+_GLIBCXX_BEGIN_NAMESPACE_VERSION
+
+ // Forward declarations.
+ template<typename _Tp> std::complex<_Tp> acos(const std::complex<_Tp>&);
+ template<typename _Tp> std::complex<_Tp> asin(const std::complex<_Tp>&);
+ template<typename _Tp> std::complex<_Tp> atan(const std::complex<_Tp>&);
+
+ template<typename _Tp> std::complex<_Tp> acosh(const std::complex<_Tp>&);
+ template<typename _Tp> std::complex<_Tp> asinh(const std::complex<_Tp>&);
+ template<typename _Tp> std::complex<_Tp> atanh(const std::complex<_Tp>&);
+ // DR 595.
+ template<typename _Tp> _Tp fabs(const std::complex<_Tp>&);
+
+ template<typename _Tp>
+ inline std::complex<_Tp>
+ __complex_acos(const std::complex<_Tp>& __z)
+ {
+ const std::complex<_Tp> __t = std::asin(__z);
+ const _Tp __pi_2 = 1.5707963267948966192313216916397514L;
+ return std::complex<_Tp>(__pi_2 - __t.real(), -__t.imag());
+ }
+
+#if _GLIBCXX_USE_C99_COMPLEX_TR1
+#if defined(__STDCPP_FLOAT16_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32)
+ inline __complex__ _Float16
+ __complex_acos(__complex__ _Float16 __z)
+ { return static_cast<__complex__ _Float16>(__builtin_cacosf(__z)); }
+
+ inline __complex__ _Float16
+ __complex_asin(__complex__ _Float16 __z)
+ { return static_cast<__complex__ _Float16>(__builtin_casinf(__z)); }
+
+ inline __complex__ _Float16
+ __complex_atan(__complex__ _Float16 __z)
+ { return static_cast<__complex__ _Float16>(__builtin_catanf(__z)); }
+
+ inline __complex__ _Float16
+ __complex_acosh(__complex__ _Float16 __z)
+ { return static_cast<__complex__ _Float16>(__builtin_cacoshf(__z)); }
+
+ inline __complex__ _Float16
+ __complex_asinh(__complex__ _Float16 __z)
+ { return static_cast<__complex__ _Float16>(__builtin_casinhf(__z)); }
+
+ inline __complex__ _Float16
+ __complex_atanh(__complex__ _Float16 __z)
+ { return static_cast<__complex__ _Float16>(__builtin_catanhf(__z)); }
+#endif
+
+#if defined(__STDCPP_FLOAT32_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32)
+ inline __complex__ _Float32
+ __complex_acos(__complex__ _Float32 __z)
+ { return __builtin_cacosf(__z); }
+
+ inline __complex__ _Float32
+ __complex_asin(__complex__ _Float32 __z)
+ { return __builtin_casinf(__z); }
+
+ inline __complex__ _Float32
+ __complex_atan(__complex__ _Float32 __z)
+ { return __builtin_catanf(__z); }
+
+ inline __complex__ _Float32
+ __complex_acosh(__complex__ _Float32 __z)
+ { return __builtin_cacoshf(__z); }
+
+ inline __complex__ _Float32
+ __complex_asinh(__complex__ _Float32 __z)
+ { return __builtin_casinhf(__z); }
+
+ inline __complex__ _Float32
+ __complex_atanh(__complex__ _Float32 __z)
+ { return __builtin_catanhf(__z); }
+#endif
+
+#if defined(__STDCPP_FLOAT64_T__) && defined(_GLIBCXX_DOUBLE_IS_IEEE_BINARY64)
+ inline __complex__ _Float64
+ __complex_acos(__complex__ _Float64 __z)
+ { return __builtin_cacos(__z); }
+
+ inline __complex__ _Float64
+ __complex_asin(__complex__ _Float64 __z)
+ { return __builtin_casin(__z); }
+
+ inline __complex__ _Float64
+ __complex_atan(__complex__ _Float64 __z)
+ { return __builtin_catan(__z); }
+
+ inline __complex__ _Float64
+ __complex_acosh(__complex__ _Float64 __z)
+ { return __builtin_cacosh(__z); }
+
+ inline __complex__ _Float64
+ __complex_asinh(__complex__ _Float64 __z)
+ { return __builtin_casinh(__z); }
+
+ inline __complex__ _Float64
+ __complex_atanh(__complex__ _Float64 __z)
+ { return __builtin_catanh(__z); }
+#endif
+
+#if defined(__STDCPP_FLOAT128_T__) && defined(_GLIBCXX_LDOUBLE_IS_IEEE_BINARY128)
+ inline __complex__ _Float128
+ __complex_acos(__complex__ _Float128 __z)
+ { return __builtin_cacosl(__z); }
+
+ inline __complex__ _Float128
+ __complex_asin(__complex__ _Float128 __z)
+ { return __builtin_casinl(__z); }
+
+ inline __complex__ _Float128
+ __complex_atan(__complex__ _Float128 __z)
+ { return __builtin_catanl(__z); }
+
+ inline __complex__ _Float128
+ __complex_acosh(__complex__ _Float128 __z)
+ { return __builtin_cacoshl(__z); }
+
+ inline __complex__ _Float128
+ __complex_asinh(__complex__ _Float128 __z)
+ { return __builtin_casinhl(__z); }
+
+ inline __complex__ _Float128
+ __complex_atanh(__complex__ _Float128 __z)
+ { return __builtin_catanhl(__z); }
+#elif defined(__STDCPP_FLOAT128_T__) && defined(_GLIBCXX_HAVE_FLOAT128_MATH)
+ inline __complex__ _Float128
+ __complex_acos(__complex__ _Float128 __z)
+ { return __builtin_cacosf128(__z); }
- inline _GLIBCXX_CONSTEXPR
- complex<float>::complex(const complex<long double>& __z)
- : _M_value(__z.__rep()) { }
+ inline __complex__ _Float128
+ __complex_asin(__complex__ _Float128 __z)
+ { return __builtin_casinf128(__z); }
- inline _GLIBCXX_CONSTEXPR
- complex<double>::complex(const complex<long double>& __z)
- : _M_value(__z.__rep()) { }
-#endif
+ inline __complex__ _Float128
+ __complex_atan(__complex__ _Float128 __z)
+ { return __builtin_catanf128(__z); }
- // Inhibit implicit instantiations for required instantiations,
- // which are defined via explicit instantiations elsewhere.
- // NB: This syntax is a GNU extension.
-#if _GLIBCXX_EXTERN_TEMPLATE
- extern template istream& operator>>(istream&, complex<float>&);
- extern template ostream& operator<<(ostream&, const complex<float>&);
- extern template istream& operator>>(istream&, complex<double>&);
- extern template ostream& operator<<(ostream&, const complex<double>&);
- extern template istream& operator>>(istream&, complex<long double>&);
- extern template ostream& operator<<(ostream&, const complex<long double>&);
+ inline __complex__ _Float128
+ __complex_acosh(__complex__ _Float128 __z)
+ { return __builtin_cacoshf128(__z); }
-#ifdef _GLIBCXX_USE_WCHAR_T
- extern template wistream& operator>>(wistream&, complex<float>&);
- extern template wostream& operator<<(wostream&, const complex<float>&);
- extern template wistream& operator>>(wistream&, complex<double>&);
- extern template wostream& operator<<(wostream&, const complex<double>&);
- extern template wistream& operator>>(wistream&, complex<long double>&);
- extern template wostream& operator<<(wostream&, const complex<long double>&);
-#endif
-#endif
+ inline __complex__ _Float128
+ __complex_asinh(__complex__ _Float128 __z)
+ { return __builtin_casinhf128(__z); }
- /// @} group complex_numbers
+ inline __complex__ _Float128
+ __complex_atanh(__complex__ _Float128 __z)
+ { return __builtin_catanhf128(__z); }
+#endif
-_GLIBCXX_END_NAMESPACE_VERSION
-} // namespace
+#if defined(__STDCPP_BFLOAT16_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32)
+ inline __complex__ decltype(0.0bf16)
+ __complex_acos(__complex__ decltype(0.0bf16) __z)
+ { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_cacosf(__z)); }
-#if __cplusplus >= 201103L
+ inline __complex__ decltype(0.0bf16)
+ __complex_asin(__complex__ decltype(0.0bf16) __z)
+ { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_casinf(__z)); }
-namespace std _GLIBCXX_VISIBILITY(default)
-{
-_GLIBCXX_BEGIN_NAMESPACE_VERSION
+ inline __complex__ decltype(0.0bf16)
+ __complex_atan(__complex__ decltype(0.0bf16) __z)
+ { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_catanf(__z)); }
- // Forward declarations.
- template<typename _Tp> std::complex<_Tp> acos(const std::complex<_Tp>&);
- template<typename _Tp> std::complex<_Tp> asin(const std::complex<_Tp>&);
- template<typename _Tp> std::complex<_Tp> atan(const std::complex<_Tp>&);
+ inline __complex__ decltype(0.0bf16)
+ __complex_acosh(__complex__ decltype(0.0bf16) __z)
+ { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_cacoshf(__z)); }
- template<typename _Tp> std::complex<_Tp> acosh(const std::complex<_Tp>&);
- template<typename _Tp> std::complex<_Tp> asinh(const std::complex<_Tp>&);
- template<typename _Tp> std::complex<_Tp> atanh(const std::complex<_Tp>&);
- // DR 595.
- template<typename _Tp> _Tp fabs(const std::complex<_Tp>&);
+ inline __complex__ decltype(0.0bf16)
+ __complex_asinh(__complex__ decltype(0.0bf16) __z)
+ { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_casinhf(__z)); }
- template<typename _Tp>
- inline std::complex<_Tp>
- __complex_acos(const std::complex<_Tp>& __z)
- {
- const std::complex<_Tp> __t = std::asin(__z);
- const _Tp __pi_2 = 1.5707963267948966192313216916397514L;
- return std::complex<_Tp>(__pi_2 - __t.real(), -__t.imag());
- }
+ inline __complex__ decltype(0.0bf16)
+ __complex_atanh(__complex__ decltype(0.0bf16) __z)
+ { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_catanhf(__z)); }
+#endif
+#endif
#if _GLIBCXX_USE_C99_COMPLEX_TR1
inline __complex__ float
{ return __complex_atanh(__z); }
#endif
-#if _GLIBCXX_USE_C99_COMPLEX_TR1
-#if defined(__STDCPP_FLOAT16_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32)
- inline __complex__ _Float16
- __complex_acos(__complex__ _Float16 __z)
- { return static_cast<__complex__ _Float16>(__builtin_cacosf(__z)); }
-
- inline __complex__ _Float16
- __complex_asin(__complex__ _Float16 __z)
- { return static_cast<__complex__ _Float16>(__builtin_casinf(__z)); }
-
- inline __complex__ _Float16
- __complex_atan(__complex__ _Float16 __z)
- { return static_cast<__complex__ _Float16>(__builtin_catanf(__z)); }
-
- inline __complex__ _Float16
- __complex_acosh(__complex__ _Float16 __z)
- { return static_cast<__complex__ _Float16>(__builtin_cacoshf(__z)); }
-
- inline __complex__ _Float16
- __complex_asinh(__complex__ _Float16 __z)
- { return static_cast<__complex__ _Float16>(__builtin_casinhf(__z)); }
-
- inline __complex__ _Float16
- __complex_atanh(__complex__ _Float16 __z)
- { return static_cast<__complex__ _Float16>(__builtin_catanhf(__z)); }
-#endif
-
-#if defined(__STDCPP_FLOAT32_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32)
- inline __complex__ _Float32
- __complex_acos(__complex__ _Float32 __z)
- { return __builtin_cacosf(__z); }
-
- inline __complex__ _Float32
- __complex_asin(__complex__ _Float32 __z)
- { return __builtin_casinf(__z); }
-
- inline __complex__ _Float32
- __complex_atan(__complex__ _Float32 __z)
- { return __builtin_catanf(__z); }
-
- inline __complex__ _Float32
- __complex_acosh(__complex__ _Float32 __z)
- { return __builtin_cacoshf(__z); }
-
- inline __complex__ _Float32
- __complex_asinh(__complex__ _Float32 __z)
- { return __builtin_casinhf(__z); }
-
- inline __complex__ _Float32
- __complex_atanh(__complex__ _Float32 __z)
- { return __builtin_catanhf(__z); }
-#endif
-
-#if defined(__STDCPP_FLOAT64_T__) && defined(_GLIBCXX_DOUBLE_IS_IEEE_BINARY64)
- inline __complex__ _Float64
- __complex_acos(__complex__ _Float64 __z)
- { return __builtin_cacos(__z); }
-
- inline __complex__ _Float64
- __complex_asin(__complex__ _Float64 __z)
- { return __builtin_casin(__z); }
-
- inline __complex__ _Float64
- __complex_atan(__complex__ _Float64 __z)
- { return __builtin_catan(__z); }
-
- inline __complex__ _Float64
- __complex_acosh(__complex__ _Float64 __z)
- { return __builtin_cacosh(__z); }
-
- inline __complex__ _Float64
- __complex_asinh(__complex__ _Float64 __z)
- { return __builtin_casinh(__z); }
-
- inline __complex__ _Float64
- __complex_atanh(__complex__ _Float64 __z)
- { return __builtin_catanh(__z); }
-#endif
-
-#if defined(__STDCPP_FLOAT128_T__) && defined(_GLIBCXX_LDOUBLE_IS_IEEE_BINARY128)
- inline __complex__ _Float128
- __complex_acos(__complex__ _Float128 __z)
- { return __builtin_cacosl(__z); }
-
- inline __complex__ _Float128
- __complex_asin(__complex__ _Float128 __z)
- { return __builtin_casinl(__z); }
-
- inline __complex__ _Float128
- __complex_atan(__complex__ _Float128 __z)
- { return __builtin_catanl(__z); }
-
- inline __complex__ _Float128
- __complex_acosh(__complex__ _Float128 __z)
- { return __builtin_cacoshl(__z); }
-
- inline __complex__ _Float128
- __complex_asinh(__complex__ _Float128 __z)
- { return __builtin_casinhl(__z); }
-
- inline __complex__ _Float128
- __complex_atanh(__complex__ _Float128 __z)
- { return __builtin_catanhl(__z); }
-#elif defined(__STDCPP_FLOAT128_T__) && defined(_GLIBCXX_HAVE_FLOAT128_MATH)
- inline __complex__ _Float128
- __complex_acos(__complex__ _Float128 __z)
- { return __builtin_cacosf128(__z); }
-
- inline __complex__ _Float128
- __complex_asin(__complex__ _Float128 __z)
- { return __builtin_casinf128(__z); }
-
- inline __complex__ _Float128
- __complex_atan(__complex__ _Float128 __z)
- { return __builtin_catanf128(__z); }
-
- inline __complex__ _Float128
- __complex_acosh(__complex__ _Float128 __z)
- { return __builtin_cacoshf128(__z); }
-
- inline __complex__ _Float128
- __complex_asinh(__complex__ _Float128 __z)
- { return __builtin_casinhf128(__z); }
-
- inline __complex__ _Float128
- __complex_atanh(__complex__ _Float128 __z)
- { return __builtin_catanhf128(__z); }
-#endif
-
-#if defined(__STDCPP_BFLOAT16_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32)
- inline __complex__ decltype(0.0bf16)
- __complex_acos(__complex__ decltype(0.0bf16) __z)
- { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_cacosf(__z)); }
-
- inline __complex__ decltype(0.0bf16)
- __complex_asin(__complex__ decltype(0.0bf16) __z)
- { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_casinf(__z)); }
-
- inline __complex__ decltype(0.0bf16)
- __complex_atan(__complex__ decltype(0.0bf16) __z)
- { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_catanf(__z)); }
-
- inline __complex__ decltype(0.0bf16)
- __complex_acosh(__complex__ decltype(0.0bf16) __z)
- { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_cacoshf(__z)); }
-
- inline __complex__ decltype(0.0bf16)
- __complex_asinh(__complex__ decltype(0.0bf16) __z)
- { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_casinhf(__z)); }
-
- inline __complex__ decltype(0.0bf16)
- __complex_atanh(__complex__ decltype(0.0bf16) __z)
- { return static_cast<__complex__ decltype(0.0bf16)>(__builtin_catanhf(__z)); }
-#endif
-#endif
-
template<typename _Tp>
inline _Tp
/// fabs(__z) [8.1.8].