CMCore/inc/hgl/math/MathConst.h

129 lines
3.8 KiB
C++

#ifndef HGL_MATH_CONST_INCLUDE
#define HGL_MATH_CONST_INCLUDE
#include<hgl/type/DataType.h>
namespace hgl
{
constexpr double HGL_E =2.7182818284590452353602874713526624977572470936999595749669676277240766303535475945713821785251664274; //欧拉数(自然对数的底数)
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_0 =1;
constexpr double HGL_COS_45 =0.707106781187;
constexpr double HGL_COS_90 =0;
constexpr double HGL_COS_135=-0.707106781187;
constexpr double HGL_COS_180=-1;
constexpr double HGL_COS_225=-0.707106781187;
constexpr double HGL_COS_270=0;
constexpr double HGL_COS_315=0.707106781187;
constexpr double HGL_SIN_0 =0;
constexpr double HGL_SIN_45 =0.707106781187;
constexpr double HGL_SIN_90 =1;
constexpr double HGL_SIN_135=0.707106781187;
constexpr double HGL_SIN_180=0;
constexpr double HGL_SIN_225=-0.707106781187;
constexpr double HGL_SIN_270=-1;
constexpr double HGL_SIN_315=-0.707106781187;
#define HGL_DEF_DEG2RAD(ang) constexpr double HGL_RAD_##ang=double(ang)*(HGL_PI/180.0f);
HGL_DEF_DEG2RAD(0)
HGL_DEF_DEG2RAD(45)
HGL_DEF_DEG2RAD(90)
HGL_DEF_DEG2RAD(135)
HGL_DEF_DEG2RAD(180)
HGL_DEF_DEG2RAD(225)
HGL_DEF_DEG2RAD(270)
HGL_DEF_DEG2RAD(315)
HGL_DEF_DEG2RAD(360)
#undef HGL_DEF_DEG2RAD
/**
* 角度转弧度
*/
inline constexpr double deg2rad(const double deg)
{
return deg*(HGL_PI/180.0f);
}
/**
* 弧度转角度
*/
inline constexpr double rad2deg(const double rad)
{
return rad*(180.0f/HGL_PI);
}
/**
* 浮点数截取小数点后指定位度
* @param value 要截取的浮点数
* @param num 要截取的位数
*/
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;
}
/**
* 正圆面积计算
* @param radius 半径
*/
inline constexpr double CircleArea(const double radius)
{
return(radius*radius*HGL_PI);
}
/**
* 椭圆面积计算
* @param l_radius 长半径
* @param s_radius 短半径
*/
inline constexpr double ElipseArea(const double l_radius,const double s_radius)
{
return(l_radius*s_radius*HGL_PI);
}
/**
* 球体积计算
* @param radius 球半径
*/
inline constexpr double SphereVolume(const double radius)
{
return(radius*radius*radius*(HGL_PI*4.0f))/3.0f;
}
/**
* 椭球体积计算
* @param x_radius x半径
* @param y_radius y半径
* @param z_radius z半径
*/
inline constexpr 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