152 lines
4.2 KiB
C++
152 lines
4.2 KiB
C++
/// @ref core
|
|
/// @file glm/detail/func_exponential.inl
|
|
|
|
#include "../vector_relational.hpp"
|
|
#include "_vectorize.hpp"
|
|
#include <limits>
|
|
#include <cmath>
|
|
#include <cassert>
|
|
|
|
namespace glm{
|
|
namespace detail
|
|
{
|
|
# if GLM_HAS_CXX11_STL
|
|
using std::log2;
|
|
# else
|
|
template<typename genType>
|
|
genType log2(genType Value)
|
|
{
|
|
return std::log(Value) * static_cast<genType>(1.4426950408889634073599246810019);
|
|
}
|
|
# endif
|
|
|
|
template<length_t L, typename T, qualifier Q, bool isFloat, bool Aligned>
|
|
struct compute_log2
|
|
{
|
|
GLM_FUNC_QUALIFIER static vec<L, T, Q> call(vec<L, T, Q> const& v)
|
|
{
|
|
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'log2' only accept floating-point inputs. Include <glm/gtc/integer.hpp> for integer inputs.");
|
|
|
|
return detail::functor1<vec, L, T, T, Q>::call(log2, v);
|
|
}
|
|
};
|
|
|
|
template<length_t L, typename T, qualifier Q, bool Aligned>
|
|
struct compute_sqrt
|
|
{
|
|
GLM_FUNC_QUALIFIER static vec<L, T, Q> call(vec<L, T, Q> const& x)
|
|
{
|
|
return detail::functor1<vec, L, T, T, Q>::call(std::sqrt, x);
|
|
}
|
|
};
|
|
|
|
template<length_t L, typename T, qualifier Q, bool Aligned>
|
|
struct compute_inversesqrt
|
|
{
|
|
GLM_FUNC_QUALIFIER static vec<L, T, Q> call(vec<L, T, Q> const& x)
|
|
{
|
|
return static_cast<T>(1) / sqrt(x);
|
|
}
|
|
};
|
|
|
|
template<length_t L, bool Aligned>
|
|
struct compute_inversesqrt<L, float, lowp, Aligned>
|
|
{
|
|
GLM_FUNC_QUALIFIER static vec<L, float, lowp> call(vec<L, float, lowp> const& x)
|
|
{
|
|
vec<L, float, lowp> tmp(x);
|
|
vec<L, float, lowp> xhalf(tmp * 0.5f);
|
|
vec<L, uint, lowp>* p = reinterpret_cast<vec<L, uint, lowp>*>(const_cast<vec<L, float, lowp>*>(&x));
|
|
vec<L, uint, lowp> i = vec<L, uint, lowp>(0x5f375a86) - (*p >> vec<L, uint, lowp>(1));
|
|
vec<L, float, lowp>* ptmp = reinterpret_cast<vec<L, float, lowp>*>(&i);
|
|
tmp = *ptmp;
|
|
tmp = tmp * (1.5f - xhalf * tmp * tmp);
|
|
return tmp;
|
|
}
|
|
};
|
|
}//namespace detail
|
|
|
|
// pow
|
|
using std::pow;
|
|
template<length_t L, typename T, qualifier Q>
|
|
GLM_FUNC_QUALIFIER vec<L, T, Q> pow(vec<L, T, Q> const& base, vec<L, T, Q> const& exponent)
|
|
{
|
|
return detail::functor2<vec, L, T, Q>::call(pow, base, exponent);
|
|
}
|
|
|
|
// exp
|
|
using std::exp;
|
|
template<length_t L, typename T, qualifier Q>
|
|
GLM_FUNC_QUALIFIER vec<L, T, Q> exp(vec<L, T, Q> const& x)
|
|
{
|
|
return detail::functor1<vec, L, T, T, Q>::call(exp, x);
|
|
}
|
|
|
|
// log
|
|
using std::log;
|
|
template<length_t L, typename T, qualifier Q>
|
|
GLM_FUNC_QUALIFIER vec<L, T, Q> log(vec<L, T, Q> const& x)
|
|
{
|
|
return detail::functor1<vec, L, T, T, Q>::call(log, x);
|
|
}
|
|
|
|
# if GLM_HAS_CXX11_STL
|
|
using std::exp2;
|
|
# else
|
|
//exp2, ln2 = 0.69314718055994530941723212145818f
|
|
template<typename genType>
|
|
GLM_FUNC_QUALIFIER genType exp2(genType x)
|
|
{
|
|
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'exp2' only accept floating-point inputs");
|
|
|
|
return std::exp(static_cast<genType>(0.69314718055994530941723212145818) * x);
|
|
}
|
|
# endif
|
|
|
|
template<length_t L, typename T, qualifier Q>
|
|
GLM_FUNC_QUALIFIER vec<L, T, Q> exp2(vec<L, T, Q> const& x)
|
|
{
|
|
return detail::functor1<vec, L, T, T, Q>::call(exp2, x);
|
|
}
|
|
|
|
// log2, ln2 = 0.69314718055994530941723212145818f
|
|
template<typename genType>
|
|
GLM_FUNC_QUALIFIER genType log2(genType x)
|
|
{
|
|
return log2(vec<1, genType>(x)).x;
|
|
}
|
|
|
|
template<length_t L, typename T, qualifier Q>
|
|
GLM_FUNC_QUALIFIER vec<L, T, Q> log2(vec<L, T, Q> const& x)
|
|
{
|
|
return detail::compute_log2<L, T, Q, std::numeric_limits<T>::is_iec559, detail::is_aligned<Q>::value>::call(x);
|
|
}
|
|
|
|
// sqrt
|
|
using std::sqrt;
|
|
template<length_t L, typename T, qualifier Q>
|
|
GLM_FUNC_QUALIFIER vec<L, T, Q> sqrt(vec<L, T, Q> const& x)
|
|
{
|
|
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'sqrt' only accept floating-point inputs");
|
|
return detail::compute_sqrt<L, T, Q, detail::is_aligned<Q>::value>::call(x);
|
|
}
|
|
|
|
// inversesqrt
|
|
template<typename genType>
|
|
GLM_FUNC_QUALIFIER genType inversesqrt(genType x)
|
|
{
|
|
return static_cast<genType>(1) / sqrt(x);
|
|
}
|
|
|
|
template<length_t L, typename T, qualifier Q>
|
|
GLM_FUNC_QUALIFIER vec<L, T, Q> inversesqrt(vec<L, T, Q> const& x)
|
|
{
|
|
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'inversesqrt' only accept floating-point inputs");
|
|
return detail::compute_inversesqrt<L, T, Q, detail::is_aligned<Q>::value>::call(x);
|
|
}
|
|
}//namespace glm
|
|
|
|
#if GLM_CONFIG_SIMD == GLM_ENABLE
|
|
# include "func_exponential_simd.inl"
|
|
#endif
|
|
|