Traits.hpp File Reference

#include "alpaka/core/Common.hpp"
#include "alpaka/core/Concepts.hpp"
#include <cmath>
#include <complex>

Go to the source code of this file.

Classes
struct	alpaka::math::ConceptMathAbs
struct	alpaka::math::ConceptMathAcos
struct	alpaka::math::ConceptMathAcosh
struct	alpaka::math::ConceptMathArg
struct	alpaka::math::ConceptMathAsin
struct	alpaka::math::ConceptMathAsinh
struct	alpaka::math::ConceptMathAtan
struct	alpaka::math::ConceptMathAtan2
struct	alpaka::math::ConceptMathAtanh
struct	alpaka::math::ConceptMathCbrt
struct	alpaka::math::ConceptMathCeil
struct	alpaka::math::ConceptMathConj
struct	alpaka::math::ConceptMathCopysign
struct	alpaka::math::ConceptMathCos
struct	alpaka::math::ConceptMathCosh
struct	alpaka::math::ConceptMathErf
struct	alpaka::math::ConceptMathExp
struct	alpaka::math::ConceptMathFloor
struct	alpaka::math::ConceptMathFma
struct	alpaka::math::ConceptMathFmod
struct	alpaka::math::ConceptMathIsfinite
struct	alpaka::math::ConceptMathIsinf
struct	alpaka::math::ConceptMathIsnan
struct	alpaka::math::ConceptMathLog
struct	alpaka::math::ConceptMathLog10
struct	alpaka::math::ConceptMathLog2
struct	alpaka::math::ConceptMathMax
struct	alpaka::math::ConceptMathMin
struct	alpaka::math::ConceptMathPow
struct	alpaka::math::ConceptMathRemainder
struct	alpaka::math::ConceptMathRound
struct	alpaka::math::ConceptMathRsqrt
struct	alpaka::math::ConceptMathSin
struct	alpaka::math::ConceptMathSinCos
struct	alpaka::math::ConceptMathSinh
struct	alpaka::math::ConceptMathSqrt
struct	alpaka::math::ConceptMathTan
struct	alpaka::math::ConceptMathTanh
struct	alpaka::math::ConceptMathTrunc
struct	alpaka::math::trait::Abs< T, TArg, TSfinae >
	The abs trait. More...
struct	alpaka::math::trait::Acos< T, TArg, TSfinae >
	The acos trait. More...
struct	alpaka::math::trait::Acosh< T, TArg, TSfinae >
	The acosh trait. More...
struct	alpaka::math::trait::Arg< T, TArgument, TSfinae >
	The arg trait. More...
struct	alpaka::math::trait::Asin< T, TArg, TSfinae >
	The asin trait. More...
struct	alpaka::math::trait::Asinh< T, TArg, TSfinae >
	The asin trait. More...
struct	alpaka::math::trait::Atan< T, TArg, TSfinae >
	The atan trait. More...
struct	alpaka::math::trait::Atan2< T, Ty, Tx, TSfinae >
	The atan2 trait. More...
struct	alpaka::math::trait::Atanh< T, TArg, TSfinae >
	The atanh trait. More...
struct	alpaka::math::trait::Cbrt< T, TArg, TSfinae >
	The cbrt trait. More...
struct	alpaka::math::trait::Ceil< T, TArg, TSfinae >
	The ceil trait. More...
struct	alpaka::math::trait::Conj< T, TArg, TSfinae >
	The conj trait. More...
struct	alpaka::math::trait::Copysign< T, TMag, TSgn, TSfinae >
	The copysign trait. More...
struct	alpaka::math::trait::Cos< T, TArg, TSfinae >
	The cos trait. More...
struct	alpaka::math::trait::Cosh< T, TArg, TSfinae >
	The cosh trait. More...
struct	alpaka::math::trait::Erf< T, TArg, TSfinae >
struct	alpaka::math::trait::Exp< T, TArg, TSfinae >
	The exp trait. More...
struct	alpaka::math::trait::Floor< T, TArg, TSfinae >
	The floor trait. More...
struct	alpaka::math::trait::Fma< T, Tx, Ty, Tz, TSfinae >
	The fma trait. More...
struct	alpaka::math::trait::Fmod< T, Tx, Ty, TSfinae >
	The fmod trait. More...
struct	alpaka::math::trait::Isfinite< T, TArg, TSfinae >
	The isfinite trait. More...
struct	alpaka::math::trait::Isinf< T, TArg, TSfinae >
	The isinf trait. More...
struct	alpaka::math::trait::Isnan< T, TArg, TSfinae >
	The isnan trait. More...
struct	alpaka::math::trait::Llround< T, TArg, TSfinae >
	The round trait. More...
struct	alpaka::math::trait::Log< T, TArg, TSfinae >
	The log trait. More...
struct	alpaka::math::trait::Log10< T, TArg, TSfinae >
	The base 10 log trait. More...
struct	alpaka::math::trait::Log2< T, TArg, TSfinae >
	The bas 2 log trait. More...
struct	alpaka::math::trait::Lround< T, TArg, TSfinae >
	The round trait. More...
struct	alpaka::math::trait::Max< T, Tx, Ty, TSfinae >
	The max trait. More...
struct	alpaka::math::trait::Min< T, Tx, Ty, TSfinae >
	The min trait. More...
struct	alpaka::math::trait::Pow< T, TBase, TExp, TSfinae >
	The pow trait. More...
struct	alpaka::math::trait::Remainder< T, Tx, Ty, TSfinae >
	The remainder trait. More...
struct	alpaka::math::trait::Round< T, TArg, TSfinae >
	The round trait. More...
struct	alpaka::math::trait::Rsqrt< T, TArg, TSfinae >
	The rsqrt trait. More...
struct	alpaka::math::trait::Sin< T, TArg, TSfinae >
	The sin trait. More...
struct	alpaka::math::trait::SinCos< T, TArg, TSfinae >
	The sincos trait. More...
struct	alpaka::math::trait::Sinh< T, TArg, TSfinae >
	The sin trait. More...
struct	alpaka::math::trait::Sqrt< T, TArg, TSfinae >
	The sqrt trait. More...
struct	alpaka::math::trait::Tan< T, TArg, TSfinae >
	The tan trait. More...
struct	alpaka::math::trait::Tanh< T, TArg, TSfinae >
	The tanh trait. More...
struct	alpaka::math::trait::Trunc< T, TArg, TSfinae >
	The trunc trait. More...

Namespaces
	alpaka
	The alpaka accelerator library.
	alpaka::math
	alpaka::math::constants
	alpaka::math::trait
	The math traits.
	alpaka::math::trait::detail

Functions
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::abs (T const &abs_ctx, TArg const &arg)
	Computes the absolute value. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::acos (T const &acos_ctx, TArg const &arg)
	Computes the principal value of the arc cosine. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::acosh (T const &acosh_ctx, TArg const &arg)
	Computes the principal value of the hyperbolic arc cosine. More...
template<typename T , typename TArgument >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::arg (T const &arg_ctx, TArgument const &argument)
	Computes the complex argument of the value. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::asin (T const &asin_ctx, TArg const &arg)
	Computes the principal value of the arc sine. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::asinh (T const &asinh_ctx, TArg const &arg)
	Computes the principal value of the hyperbolic arc sine. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::atan (T const &atan_ctx, TArg const &arg)
	Computes the principal value of the arc tangent. More...
template<typename T , typename Ty , typename Tx >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::atan2 (T const &atan2_ctx, Ty const &y, Tx const &x)
	Computes the arc tangent of y/x using the signs of arguments to determine the correct quadrant. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::atanh (T const &atanh_ctx, TArg const &arg)
	Computes the principal value of the hyperbolic arc tangent. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::cbrt (T const &cbrt_ctx, TArg const &arg)
	Computes the cbrt. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::ceil (T const &ceil_ctx, TArg const &arg)
	Computes the smallest integer value not less than arg. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::conj (T const &conj_ctx, TArg const &arg)
	Computes the complex conjugate of arg. More...
template<typename T , typename TMag , typename TSgn >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::copysign (T const &copysign_ctx, TMag const &mag, TSgn const &sgn)
	Creates a value with the magnitude of mag and the sign of sgn. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::cos (T const &cos_ctx, TArg const &arg)
	Computes the cosine (measured in radians). More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::cosh (T const &cosh_ctx, TArg const &arg)
	Computes the hyperbolic cosine (measured in radians). More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::erf (T const &erf_ctx, TArg const &arg)
	Computes the error function of arg. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::exp (T const &exp_ctx, TArg const &arg)
	Computes the e (Euler's number, 2.7182818) raised to the given power arg. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::floor (T const &floor_ctx, TArg const &arg)
	Computes the largest integer value not greater than arg. More...
template<typename T , typename Tx , typename Ty , typename Tz >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::fma (T const &fma_ctx, Tx const &x, Ty const &y, Tz const &z)
	Computes x * y + z as if to infinite precision and rounded only once to fit the result type. More...
template<typename T , typename Tx , typename Ty >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::fmod (T const &fmod_ctx, Tx const &x, Ty const &y)
	Computes the floating-point remainder of the division operation x/y. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::isfinite (T const &ctx, TArg const &arg)
	Checks if given value is finite. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::isinf (T const &ctx, TArg const &arg)
	Checks if given value is inf. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::isnan (T const &ctx, TArg const &arg)
	Checks if given value is NaN. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::llround (T const &llround_ctx, TArg const &arg) -> long long int
	Computes the nearest integer value to arg (in integer format), rounding halfway cases away from zero, regardless of the current rounding mode. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::log (T const &log_ctx, TArg const &arg)
	Computes the the natural (base e) logarithm of arg. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::log10 (T const &log10_ctx, TArg const &arg)
	Computes the the natural (base 10) logarithm of arg. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::log2 (T const &log2_ctx, TArg const &arg)
	Computes the the natural (base 2) logarithm of arg. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::lround (T const &lround_ctx, TArg const &arg) -> long int
	Computes the nearest integer value to arg (in integer format), rounding halfway cases away from zero, regardless of the current rounding mode. More...
template<typename T , typename Tx , typename Ty >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::max (T const &max_ctx, Tx const &x, Ty const &y)
	Returns the larger of two arguments. NaNs are treated as missing data (between a NaN and a numeric value, the numeric value is chosen). More...
template<typename T , typename Tx , typename Ty >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::min (T const &min_ctx, Tx const &x, Ty const &y)
	Returns the smaller of two arguments. NaNs are treated as missing data (between a NaN and a numeric value, the numeric value is chosen). More...
template<typename T , typename TBase , typename TExp >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::pow (T const &pow_ctx, TBase const &base, TExp const &exp)
	Computes the value of base raised to the power exp. More...
template<typename T , typename Tx , typename Ty >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::remainder (T const &remainder_ctx, Tx const &x, Ty const &y)
	Computes the IEEE remainder of the floating point division operation x/y. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::round (T const &round_ctx, TArg const &arg)
	Computes the nearest integer value to arg (in floating-point format), rounding halfway cases away from zero, regardless of the current rounding mode. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::rsqrt (T const &rsqrt_ctx, TArg const &arg)
	Computes the rsqrt. More...
template<typename TArg >
ALPAKA_FN_HOST_ACC auto	alpaka::math::trait::detail::rsqrt (TArg const &arg)
	Fallback implementation when no better ADL match was found. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::sin (T const &sin_ctx, TArg const &arg)
	Computes the sine (measured in radians). More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::sincos (T const &sincos_ctx, TArg const &arg, TArg &result_sin, TArg &result_cos) -> void
	Computes the sine and cosine (measured in radians). More...
template<typename TArg >
ALPAKA_FN_HOST_ACC auto	alpaka::math::trait::detail::sincos (TArg const &arg, TArg &result_sin, TArg &result_cos)
	Fallback implementation when no better ADL match was found. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::sinh (T const &sinh_ctx, TArg const &arg)
	Computes the hyperbolic sine (measured in radians). More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::sqrt (T const &sqrt_ctx, TArg const &arg)
	Computes the square root of arg. More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::tan (T const &tan_ctx, TArg const &arg)
	Computes the tangent (measured in radians). More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::tanh (T const &tanh_ctx, TArg const &arg)
	Computes the hyperbolic tangent (measured in radians). More...
template<typename T , typename TArg >
ALPAKA_NO_HOST_ACC_WARNING ALPAKA_FN_HOST_ACC auto	alpaka::math::trunc (T const &trunc_ctx, TArg const &arg)
	Computes the nearest integer not greater in magnitude than arg. More...

Variables
constexpr double	alpaka::math::constants::e = M_E
template<typename T >
constexpr T	alpaka::math::constants::e_v = static_cast<T>(e)
constexpr double	alpaka::math::constants::inv_pi = M_1_PI
template<typename T >
constexpr T	alpaka::math::constants::inv_pi_v = static_cast<T>(inv_pi)
constexpr double	alpaka::math::constants::ln10 = M_LN10
template<typename T >
constexpr T	alpaka::math::constants::ln10_v = static_cast<T>(ln10)
constexpr double	alpaka::math::constants::ln2 = M_LN2
template<typename T >
constexpr T	alpaka::math::constants::ln2_v = static_cast<T>(ln2)
constexpr double	alpaka::math::constants::log10e = M_LOG10E
template<typename T >
constexpr T	alpaka::math::constants::log10e_v = static_cast<T>(log10e)
constexpr double	alpaka::math::constants::log2e = M_LOG2E
template<typename T >
constexpr T	alpaka::math::constants::log2e_v = static_cast<T>(log2e)
constexpr double	alpaka::math::constants::pi = M_PI
template<typename T >
constexpr T	alpaka::math::constants::pi_v = static_cast<T>(pi)
constexpr double	alpaka::math::constants::sqrt2 = M_SQRT2
template<typename T >
constexpr T	alpaka::math::constants::sqrt2_v = static_cast<T>(sqrt2)