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#ifndef VECCORE_MATH_H
#define VECCORE_MATH_H
#ifdef _MSC_VER
#define _USE_MATH_DEFINES
#include <math.h>
#endif
#include <cmath>
#if defined(__APPLE__) && !defined(__NVCC__)
VECCORE_FORCE_INLINE
void sincosf(const float &x, float *s, float *c)
{
__sincosf(x, s, c);
}
VECCORE_FORCE_INLINE
void sincos(const double &x, double *s, double *c)
{
__sincos(x, s, c);
}
#elif defined(_MSC_VER)
VECCORE_FORCE_INLINE
void sincosf(const float &x, float *s, float *c)
{
*s = sinf(x);
*c = cosf(x);
}
VECCORE_FORCE_INLINE
void sincos(const double &x, double *s, double *c)
{
*s = sin(x);
*c = cos(x);
}
#endif
namespace vecCore {
inline namespace math {
#define VECCORE_MATH_UNARY_FUNCTION(F, f) \
template <typename T> \
VECCORE_FORCE_INLINE VECCORE_ATT_HOST_DEVICE \
T F(const T &x) \
{ \
T ret(x); \
for(size_t i = 0; i < VectorSize<T>(); ++i) \
Set(ret, i, std::f(Get(x,i))); \
return ret; \
} \
#define VECCORE_MATH_BINARY_FUNCTION(F, f) \
template <typename T> \
VECCORE_FORCE_INLINE VECCORE_ATT_HOST_DEVICE \
T F(const T &x, const T &y) \
{ \
T ret(x); \
for(size_t i = 0; i < VectorSize<T>(); ++i) \
Set(ret, i, std::f(Get(x,i), Get(y,i))); \
return ret; \
} \
// Abs, Min, Max, Sign
VECCORE_MATH_UNARY_FUNCTION(Abs, abs)
template <class T>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
T Min(const T &a, const T &b)
{
return Blend(a < b, a, b);
}
template <class T>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
T Max(const T &a, const T &b)
{
return Blend(a > b, a, b);
}
template <typename T>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
T Min(const T &a, const T &b, const T &c)
{
return Min(a, Min(b, c));
}
template <typename T>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
T Max(const T &a, const T &b, const T &c)
{
return Max(a, Max(b, c));
}
template <typename T, template <typename> class Wrapper>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
Wrapper<T> Min(const Wrapper<T> &a, const Wrapper<T> &b)
{
return Blend(a < b, a, b);
}
template <typename T, template <typename> class Wrapper>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
Wrapper<T> Max(const Wrapper<T> &a, const Wrapper<T> &b)
{
return Blend(a > b, a, b);
}
VECCORE_MATH_BINARY_FUNCTION(CopySign, copysign)
template <typename T>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
T Sign(const T &x)
{
return CopySign(T(1), x);
}
// Trigonometric Functions
VECCORE_MATH_UNARY_FUNCTION(Sin, sin)
VECCORE_MATH_UNARY_FUNCTION(Cos, cos)
VECCORE_MATH_UNARY_FUNCTION(Tan, tan)
VECCORE_MATH_UNARY_FUNCTION(ASin, asin)
VECCORE_MATH_UNARY_FUNCTION(ACos, acos)
VECCORE_MATH_UNARY_FUNCTION(ATan, atan)
VECCORE_MATH_BINARY_FUNCTION(ATan2, atan2)
template <typename T>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
void SinCos(const T &x, T *s, T *c)
{
sincos(x, s, c);
}
template <>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
void SinCos(const float &x, float *s, float *c)
{
::sincosf(x, s, c);
}
template <>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
void SinCos(const double &x, double *s, double *c)
{
::sincos(x, s, c);
}
// Hyperbolic Functions
VECCORE_MATH_UNARY_FUNCTION(Sinh, sinh)
VECCORE_MATH_UNARY_FUNCTION(Cosh, cosh)
VECCORE_MATH_UNARY_FUNCTION(Tanh, tanh)
VECCORE_MATH_UNARY_FUNCTION(ASinh, asinh)
VECCORE_MATH_UNARY_FUNCTION(ACosh, acosh)
VECCORE_MATH_UNARY_FUNCTION(ATanh, atanh)
// Exponential and Logarithmic Functions
VECCORE_MATH_UNARY_FUNCTION(Exp, exp)
VECCORE_MATH_UNARY_FUNCTION(Exp2, exp2)
VECCORE_MATH_UNARY_FUNCTION(Expm1, expm1)
VECCORE_MATH_UNARY_FUNCTION(Log, log)
VECCORE_MATH_UNARY_FUNCTION(Log2, log2)
VECCORE_MATH_UNARY_FUNCTION(Logb, logb)
VECCORE_MATH_UNARY_FUNCTION(Log10, log10)
VECCORE_MATH_UNARY_FUNCTION(Log1p, log1p)
VECCORE_MATH_UNARY_FUNCTION(Ilogb, ilogb)
// Gamma Functions
VECCORE_MATH_UNARY_FUNCTION(TGamma, tgamma)
template <typename T>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
T Frexp(const T &x, int *exp)
{
T ret;
for(size_t i = 0; i < VectorSize<T>(); ++i)
Set(ret, i, std::frexp(Get(x,i), &exp[i]));
return ret;
}
template <typename T>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
T Ldexp(const T &x, int exp)
{
T ret;
for(size_t i = 0; i < VectorSize<T>(); ++i)
Set(ret, i, std::ldexp(Get(x,i), exp));
return ret;
}
template <typename T>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
T Modf(const T &x, T *intpart)
{
T ret;
for(size_t i = 0; i < VectorSize<T>(); ++i)
Set(ret, i, std::modf(Get(x,i), &intpart[i]));
return ret;
}
template <typename T>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
T Rsqrt(const T &x)
{
T ret(1.0 / x);
for(size_t i = 0; i < VectorSize<T>(); ++i)
Set(ret, i, std::sqrt(Get(ret,i)));
return ret;
}
template <typename T>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
T Scalbn(const T &x, int n)
{
T ret;
for(size_t i = 0; i < VectorSize<T>(); ++i)
Set(ret, i, std::scalbn(Get(x,i), n));
return ret;
}
template <typename T>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
T Scalbln(const T &x, long int n)
{
T ret;
for(size_t i = 0; i < VectorSize<T>(); ++i)
Set(ret, i, std::scalbln(Get(x,i), n));
return ret;
}
// Power Functions
VECCORE_MATH_UNARY_FUNCTION(Sqrt, sqrt)
VECCORE_MATH_UNARY_FUNCTION(Cbrt, cbrt)
VECCORE_MATH_BINARY_FUNCTION(Pow, pow)
VECCORE_MATH_BINARY_FUNCTION(Hypot, hypot)
// Rounding and Remainder Functions
VECCORE_MATH_UNARY_FUNCTION(Ceil, ceil)
VECCORE_MATH_UNARY_FUNCTION(Floor, floor)
VECCORE_MATH_BINARY_FUNCTION(Fmod, fmod)
VECCORE_MATH_UNARY_FUNCTION(Round, round)
VECCORE_MATH_UNARY_FUNCTION(Trunc, trunc)
// Miscellaneous Utilities
template <typename T>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
Mask<T> IsInf(const T &x)
{
#ifndef VECCORE_CUDA
using std::isinf;
#endif
return isinf(x);
}
template <typename T>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
Mask<T> IsNegative(const T &x)
{
return x < T(0);
}
template <typename T>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
constexpr T Deg(const T &x)
{
return (x * T(180.0 / M_PI));
}
template <typename T>
VECCORE_FORCE_INLINE
VECCORE_ATT_HOST_DEVICE
constexpr T Rad(const T &x)
{
return (x * T(M_PI / 180.0));
}
#undef VECCORE_MATH_UNARY_FUNCTION
#undef VECCORE_MATH_BINARY_FUNCTION
} // namespace math
} // namespace vecCore
#endif
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