func_exponential.inl

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#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