mir.math.constant source code

/// Math constants
/// Authors: Phobos Team, Ilya Yaroshenko
module mir.math.constant;

enum real E =          0x1.5bf0a8b1457695355fb8ac404e7a8p+1L; /++ e = 2.718281... +/
enum real LOG2T =      0x1.a934f0979a3715fc9257edfe9b5fbp+1L; /++ $(SUB log, 2)10 = 3.321928... +/
enum real LOG2E =      0x1.71547652b82fe1777d0ffda0d23a8p+0L; /++ $(SUB log, 2)e = 1.442695... +/
enum real LOG2 =       0x1.34413509f79fef311f12b35816f92p-2L; /++ $(SUB log, 10)2 = 0.301029... +/
enum real LOG10E =     0x1.bcb7b1526e50e32a6ab7555f5a67cp-2L; /++ $(SUB log, 10)e = 0.434294... +/
enum real LN2 =        0x1.62e42fefa39ef35793c7673007e5fp-1L; /++ ln 2  = 0.693147... +/
enum real LN10 =       0x1.26bb1bbb5551582dd4adac5705a61p+1L; /++ ln 10 = 2.302585... +/
enum real PI =         0x1.921fb54442d18469898cc51701b84p+1L; /++ &pi; = 3.141592... +/
enum real PI_2 =       PI/2;                                  /++ $(PI) / 2 = 1.570796... +/
enum real PI_4 =       PI/4;                                  /++ $(PI) / 4 = 0.785398... +/
enum real M_1_PI =     0x1.45f306dc9c882a53f84eafa3ea69cp-2L; /++ 1 / $(PI) = 0.318309... +/
enum real M_2_PI =     2*M_1_PI;                              /++ 2 / $(PI) = 0.636619... +/
enum real M_2_SQRTPI = 0x1.20dd750429b6d11ae3a914fed7fd8p+0L; /++ 2 / $(SQRT)$(PI) = 1.128379... +/
enum real SQRT2 =      0x1.6a09e667f3bcc908b2fb1366ea958p+0L; /++ $(SQRT)2 = 1.414213... +/
enum real SQRT1_2 =    SQRT2 / 2;                             /++ $(SQRT)$(HALF) = 0.707106... +/

/++
Exponent of minus Euler–Mascheroni constant.
+/
enum real ExpMEuler = 0x0.8fbbcf07f2e5f2c56894d7014c3086p0;
enum real GoldenRatio = 0x1.9e3779b97f4a7c15f39cc0605cedc8341082276bf3a27251f86c6a11d0c18p+0L; /++ Golden Ratio = (1 + sqrt(5)) / 2 = 1.6180339... ++/
enum real GoldenRatioInverseSquared = 0x0.61c8864680b583ea0c633f9fa31237cbef7dd8940c5d8dae079395ee2f3e71p+0L; /++ Golden Ratio ^ -2 = 0.381966... ++/