CMCore/inc/hgl/math/MathConst.h

#ifndef HGL_MATH_CONST_INCLUDE
#define HGL_MATH_CONST_INCLUDE

#include<hgl/type/DataType.h>

namespace hgl
{
    constexpr double HGL_E          =2.7182818284590452353602874713526624977572470936999595749669676277240766303535475945713821785251664274;        //ŷ<><C5B7><EFBFBD><EFBFBD>(<28><>Ȼ<EFBFBD><C8BB><EFBFBD><EFBFBD><EFBFBD>ĵ<EFBFBD><C4B5><EFBFBD>)
    constexpr double HGL_LOG2E      =1.44269504088896340736;
    constexpr double HGL_LOG10E     =0.434294481903251827651;
    constexpr double HGL_LN2        =0.693147180559945309417;
    constexpr double HGL_LN10       =2.30258509299404568402;
    constexpr double HGL_PI         =3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068;
    constexpr double HGL_PI_2       =1.57079632679489661923;
    constexpr double HGL_PI_4       =0.785398163397448309616;
    constexpr double HGL_PI_3_4     =2.356194490192344928938;
    constexpr double HGL_1_PI       =0.318309886183790671538;
    constexpr double HGL_2_PI       =0.636619772367581343076;
    constexpr double HGL_2_SQRTPI   =1.12837916709551257390;
    constexpr double HGL_SQRT2      =1.41421356237309504880168872420969807;
    constexpr double HGL_SQRT1_2    =0.707106781186547524401;

    constexpr double HGL_COS_ANG_0  =1;
    constexpr double HGL_COS_ANG_45 =0.707106781187;
    constexpr double HGL_COS_ANG_90 =0;
    constexpr double HGL_COS_ANG_135=-0.707106781187;
    constexpr double HGL_COS_ANG_180=-1;
    constexpr double HGL_COS_ANG_225=-0.707106781187;
    constexpr double HGL_COS_ANG_270=0;
    constexpr double HGL_COS_ANG_315=0.707106781187;

    #define HGL_DEF_ANG2RAD(ang)    constexpr double HGL_RAD_##ang=double(ang)*(HGL_PI/180.0f);

    HGL_DEF_ANG2RAD(0)
    HGL_DEF_ANG2RAD(45)
    HGL_DEF_ANG2RAD(90)
    HGL_DEF_ANG2RAD(135)
    HGL_DEF_ANG2RAD(180)
    HGL_DEF_ANG2RAD(225)
    HGL_DEF_ANG2RAD(270)
    HGL_DEF_ANG2RAD(315)
    HGL_DEF_ANG2RAD(360)

    #undef HGL_DEF_ANG2RAD
    
    /**
     * <EFBFBD>Ƕ<EFBFBD>ת<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
     */
    inline double hgl_ang2rad(const double ang)
    {
        return ang*(HGL_PI/180.0f);
    }

    /**
     * <EFBFBD><EFBFBD><EFBFBD><EFBFBD>ת<EFBFBD>Ƕ<EFBFBD>
     */
    inline double hgl_rad2ang(const double rad)
    {
        return rad*(180.0f/HGL_PI);
    }

    /**
     * <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ȡС<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ָ<EFBFBD><EFBFBD>λ<EFBFBD><EFBFBD>
     * @param value Ҫ<EFBFBD><EFBFBD>ȡ<EFBFBD>ĸ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
     * @param num Ҫ<EFBFBD><EFBFBD>ȡ<EFBFBD><EFBFBD>λ<EFBFBD><EFBFBD>
     */
    template<typename T>
    inline T hgl_clip_float(const T value,const int num)
    {
        if(num<=0)
            return int64(value);

        if(value==0)return(0);

        double per=pow(10,num);

        return double(floor(value*per))/per;
    }

    inline float half_to_float(const uint16 &h)
    {
        return ((h&0x8000)<<16) | (((h&0x7c00)+0x1C000)<<13) | ((h&0x03FF)<<13);
    }

    inline uint16 float_to_half(const float &f)
    {
        const uint32 x = *((uint32 *)&f);

        return ((x>>16)&0x8000)|((((x&0x7f800000)-0x38000000)>>13)&0x7c00)|((x>>13)&0x03ff);
    }

    /**
     * <EFBFBD><EFBFBD>Բ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
     * @param radius <EFBFBD>뾶
     */
    inline double CircleArea(const double radius)
    {
        return(radius*radius*HGL_PI);
    }

    /**
     * <EFBFBD><EFBFBD>Բ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
     * @param l_radius <EFBFBD><EFBFBD><EFBFBD>뾶
     * @param s_radius <EFBFBD>̰뾶
     */
    inline double ElipseArea(const double l_radius,const double s_radius)
    {
        return(l_radius*s_radius*HGL_PI);
    }

    /**
     * <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
     * @param radius <EFBFBD><EFBFBD><EFBFBD>뾶
     */
    inline double SphereVolume(const double radius)
    {
        return(radius*radius*radius*(HGL_PI*4.0f))/3.0f;
    }

    /**
     * <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
     * @param x_radius x<EFBFBD>뾶
     * @param y_radius y<EFBFBD>뾶
     * @param z_radius z<EFBFBD>뾶
     */
    inline double EllipsoidVolume(const double x_radius,const double y_radius,const double z_radius)
    {
        return(x_radius*y_radius*z_radius*(HGL_PI*4.0f))/3.0f;
    }
}//namespace hgl
#endif//HGL_MATH_CONST_INCLUDE