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Improve the precision of the std.math constants.

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KennyTM~ 2011-07-06 19:41:11 +08:00
parent 5ff0ef12d0
commit 8cb450d36c
1 changed files with 18 additions and 15 deletions
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33
std/math.d
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@ -203,21 +203,24 @@ else
public:
enum real E = 2.7182818284590452354L; /** e */ // 0x1.5BF0A8B1_45769535_5FF5p+1L
enum real LOG2T = 0x1.a934f0979a3715fcp+1; /** $(SUB log, 2)10 */ // 3.32193 fldl2t
enum real LOG2E = 0x1.71547652b82fe178p+0; /** $(SUB log, 2)e */ // 1.4427 fldl2e
enum real LOG2 = 0x1.34413509f79fef32p-2; /** $(SUB log, 10)2 */ // 0.30103 fldlg2
enum real LOG10E = 0.43429448190325182765; /** $(SUB log, 10)e */
enum real LN2 = 0x1.62e42fefa39ef358p-1; /** ln 2 */ // 0.693147 fldln2
enum real LN10 = 2.30258509299404568402; /** ln 10 */
enum real PI = 0x1.921fb54442d1846ap+1; /** $(_PI) */ // 3.14159 fldpi
enum real PI_2 = 1.57079632679489661923; /** $(PI) / 2 */
enum real PI_4 = 0.78539816339744830962; /** $(PI) / 4 */
enum real M_1_PI = 0.31830988618379067154; /** 1 / $(PI) */
enum real M_2_PI = 0.63661977236758134308; /** 2 / $(PI) */
enum real M_2_SQRTPI = 1.12837916709551257390; /** 2 / $(SQRT)$(PI) */
enum real SQRT2 = 1.41421356237309504880; /** $(SQRT)2 */
enum real SQRT1_2 = 0.70710678118654752440; /** $(SQRT)$(HALF) */
// Values obtained from Wolfram Alpha. 116 bits ought to be enough for anybody.
// Wolfram Alpha LLC. 2011. Wolfram|Alpha. http://www.wolframalpha.com/input/?i=e+in+base+16 (access July 6, 2011).
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... */
// Note: Make sure the magic numbers in compiler backend for x87 match these.
/*
Octal versions: