text: /**
  	\file "util/numeric/constants.h"
  	Mathematical constants.
  	Here they are defined as preprocessor macros, 
  	might later decide to define them as const doubles.
  	$Id: constants.h,v 1.2 2011/05/03 19:21:10 fang Exp $
   */
  
  #ifndef	__UTIL_NUMERIC_CONSTANTS_H__
  #define	__UTIL_NUMERIC_CONSTANTS_H__
  
  
  /**
  	The following constants stolen from /usr/include/math.h
  	Probably not a bad idea to include <math.h> first.
  	These constants only have sufficient precision for double, 
  	but not enough for long double.
   */
  #ifndef	M_E
  #define	M_E		2.7182818284590452354	/* e */
  #endif
  
  #ifndef	M_LOG2E
  #define	M_LOG2E		1.4426950408889634074	/* log_2 e */
  #endif
  
  #ifndef	M_LOG10E
  #define	M_LOG10E	0.43429448190325182765	/* log_10 e */
  #endif
  
  #ifndef	M_LN2
  #define	M_LN2		0.69314718055994530942	/* log_e 2 */
  #endif
  
  #ifndef	M_LN10
  #define	M_LN10		2.30258509299404568402	/* log_e 10 */
  #endif
  
  #ifndef	M_PI
  #define	M_PI		3.14159265358979323846	/* pi */
  #endif
  
  #ifndef	M_PI_2
  #define	M_PI_2		1.57079632679489661923	/* pi/2 */
  #endif
  
  #ifndef	M_PI_4
  #define	M_PI_4		0.78539816339744830962	/* pi/4 */
  #endif
  
  #ifndef	M_1_PI
  #define	M_1_PI		0.31830988618379067154	/* 1/pi */
  #endif
  
  #ifndef	M_2_PI
  #define	M_2_PI		0.63661977236758134308	/* 2/pi */
  #endif
  
  #ifndef	M_2_SQRTPI
  #define	M_2_SQRTPI	1.12837916709551257390	/* 2/sqrt(pi) */
  #endif
  
  #ifndef	M_SQRT2
  #define	M_SQRT2		1.41421356237309504880	/* sqrt(2) */
  #endif
  
  #ifndef	M_SQRT1_2
  #define	M_SQRT1_2	0.70710678118654752440	/* 1/sqrt(2) */
  #endif
  
  /* the following constants I provided from elsewhere */
  
  #ifndef	M_TAU
  #define	M_TAU		1.6180339887498948482	/* golden ratio */
  #endif
  
  #ifndef	M_GAMMA
  #define	M_GAMMA		0.57721566490153286061	/* gamma */
  #endif
  
  #endif	/* __UTIL_NUMERIC_CONSTANTS_H__ */
  
  