// Written in the D programming language. /**This is a submodule of $(MREF std, math). It contains several useful mathematical constants. Copyright: Copyright The D Language Foundation 2000 - 2011.License: $(HTTP www.boost.org/LICENSE_1_0.txt, Boost License 1.0).Authors: $(HTTP digitalmars.com, Walter Bright), Don ClugstonSource: $(PHOBOSSRC std/math/constants.d) Macros: SUB = $1<sub>$2</sub> PI = π SQRT = √ HALF = ½ */module std.math.constants; // 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; /** π = 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.
// Written in the D programming language.
/**
This is a submodule of $(MREF std, math).
It contains several useful mathematical constants.
Copyright: Copyright The D Language Foundation 2000 - 2011.
License: $(HTTP www.boost.org/LICENSE_1_0.txt, Boost License 1.0).
Authors: $(HTTP digitalmars.com, Walter Bright), Don Clugston
Source: $(PHOBOSSRC std/math/constants.d)
Macros:
SUB = $1<sub>$2</sub>
PI = π
SQRT = √
HALF = ½
*/
module std.math.constants;
// 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; /** π = 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.