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/*
 * @(#)MathConstants.java        5.0.4    2022-05-22
 *
 * MathParser.org-mXparser DUAL LICENSE AGREEMENT as of date 2022-05-22
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 * PRODUCT: MathParser.org-mXparser SOFTWARE
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 */
package org.mariuszgromada.math.mxparser.mathcollection;

/**
 * MathConstants - class representing the most important math constants.
 *
 * @author         Mariusz Gromada

 *                 MathParser.org - mXparser project page

 *                 mXparser on GitHub

 *                 INFIMA place to purchase a commercial MathParser.org-mXparser software license

 *                 [email protected]

 *                 ScalarMath.org - a powerful math engine and math scripting language

 *                 Scalar Lite

 *                 Scalar Pro

 *                 MathSpace.pl

 *
 * @version        5.0.0
 */
public final class MathConstants {
	/**
	 * Pi, Archimedes' constant or Ludolph's number
	 */
	public static final double PI = 3.14159265358979323846264338327950288;
	/**
	 * Pi/2
	 */
	public static final double PIBY2 = PI / 2.0;
	/**
	 * 1/Pi
	 */
	public static final double PIINV = 1.0 / PI;
	/**
	 * Napier's constant, or Euler's number, base of Natural logarithm
	 */
	public static final double E = 2.71828182845904523536028747135266249;
	/**
	 * Euler-Mascheroni constant
	 */
	public static final double EULER_MASCHERONI = 0.57721566490153286060651209008240243;
	/**
	 * Golden ratio
	 */
	public static final double GOLDEN_RATIO = 1.61803398874989484820458683436563811;
	/**
	 * Plastic constant
	 */
	public static final double PLASTIC = 1.32471795724474602596090885447809734;
	/**
	 * Embree-Trefethen constant
	 */
	public static final double EMBREE_TREFETHEN = 0.70258;
	/**
	 * Feigenbaum constant
	 */
	public static final double FEIGENBAUM_DELTA = 4.66920160910299067185320382046620161;
	/**
	 * Feigenbaum constant
	 */
	public static final double FEIGENBAUM_ALFA = 2.50290787509589282228390287321821578;
	/**
	 * Feigenbaum constant
	 */
	public static final double TWIN_PRIME = 0.66016181584686957392781211001455577;
	/**
	 * Meissel-Mertens constant
	 */
	public static final double MEISSEL_MERTEENS = 0.26149721284764278375542683860869585;
	/**
	 * Brun's constant for twin primes
	 */
	public static final double BRAUN_TWIN_PRIME = 1.9021605823;
	/**
	 * Brun's constant for prime quadruplets
	 */
	public static final double BRAUN_PRIME_QUADR = 0.8705883800;
	/**
	 * de Bruijn-Newman constant
	 */
	public static final double BRUIJN_NEWMAN = -2.7E-9;
	/**
	 * Catalan's constant
	 */
	public static final double CATALAN = 0.91596559417721901505460351493238411;
	/**
	 * Landau-Ramanujan constant
	 */
	public static final double LANDAU_RAMANUJAN = 0.76422365358922066299069873125009232;
	/**
	 * Viswanath's constant
	 */
	public static final double VISWANATH = 1.13198824;
	/**
	 * Legendre's constant
	 */
	public static final double LEGENDRE = 1.0;
	/**
	 * Ramanujan-Soldner constant
	 */
	public static final double RAMANUJAN_SOLDNER = 1.45136923488338105028396848589202744;
	/**
	 * Erdos-Borwein constant
	 */
	public static final double ERDOS_BORWEIN = 1.60669515241529176378330152319092458;
	/**
	 * Bernstein's constant
	 */
	public static final double BERNSTEIN = 0.28016949902386913303;
	/**
	 * Gauss-Kuzmin-Wirsing constant
	 */
	public static final double GAUSS_KUZMIN_WIRSING = 0.30366300289873265859744812190155623;
	/**
	 * Hafner-Sarnak-McCurley constant
	 */
	public static final double HAFNER_SARNAK_MCCURLEY = 0.35323637185499598454;
	/**
	 * Golomb-Dickman constant
	 */
	public static final double GOLOMB_DICKMAN = 0.62432998854355087099293638310083724;
	/**
	 * Cahen's constant
	 */
	public static final double CAHEN = 0.6434105463;
	/**
	 * Laplace limit
	 */
	public static final double LAPLACE_LIMIT = 0.66274341934918158097474209710925290;
	/**
	 * Alladi-Grinstead constant
	 */
	public static final double ALLADI_GRINSTEAD = 0.8093940205;
	/**
	 * Lengyel's constant
	 */
	public static final double LENGYEL = 1.0986858055;
	/**
	 * Levy's constant
	 */
	public static final double LEVY = 3.27582291872181115978768188245384386;
	/**
	 * Apery's constant
	 */
	public static final double APERY = 1.20205690315959428539973816151144999;
	/**
	 * Mills' constant
	 */
	public static final double MILLS = 1.30637788386308069046861449260260571;
	/**
	 * Backhouse's constant
	 */
	public static final double BACKHOUSE = 1.45607494858268967139959535111654356;
	/**
	 * Porter's constant
	 */
	public static final double PORTER = 1.4670780794;
	/**
	 * Porter's constant
	 */
	public static final double LIEB_QUARE_ICE = 1.5396007178;
	/**
	 * Niven's constant
	 */
	public static final double NIVEN = 1.70521114010536776428855145343450816;
	/**
	 * Sierpiński's constant
	 */
	public static final double SIERPINSKI = 2.58498175957925321706589358738317116;
	/**
	 * Khinchin's constant
	 */
	public static final double KHINCHIN = 2.68545200106530644530971483548179569;
	/**
	 * Fransén-Robinson constant
	 */
	public static final double FRANSEN_ROBINSON = 2.80777024202851936522150118655777293;
	/**
	 * Landau's constant
	 */
	public static final double LANDAU = 0.5;
	/**
	 * Parabolic constant
	 */
	public static final double PARABOLIC = 2.29558714939263807403429804918949039;
	/**
	 * Omega constant
	 */
	public static final double OMEGA = 0.56714329040978387299996866221035555;
	/**
	 * MRB constant
	 */
	public static final double MRB = 0.187859;
	/**
	 * A069284 - Logarithmic integral function li(2)
	 */
	public static final double LI2 = 1.045163780117492784844588889194613136522615578151;
	/**
	 * Gompertz Constant OEIS A073003
	 */
	public static final double GOMPERTZ = 0.596347362323194074341078499369279376074;
	/**
	 * Square root of 2
	 */
	public static final double SQRT2 = Math.sqrt(2.0);
	/**
	 * Square root of pi
	 */
	public static final double SQRTPi = 1.772453850905516027298167483341145182797549456122387128213d;
	/**
	 * Square root of 2*pi
	 */
	public static final double SQRT2Pi = 2.5066282746310005024157652848110452530069867406099d;
	/**
	 * Natural logarithm of pi
	 */
	public static final double LNPI = MathFunctions.ln(PI);
	/**
	 * Tetration left convergence limit
	 */
	public static final double EXP_MINUS_E = Math.pow(E, -E);
	/**
	 * Tetration right convergence limit
	 */
	public static final double EXP_1_OVER_E = Math.pow(E, 1.0/E);
	/**
	 * 1 over e
	 */
	public static final double EXP_MINUS_1 = 1.0 / Math.E;
	/**
	 * Natural logarithm of sqrt(2)
	 */
	public static final double LN_SQRT2 = MathFunctions.ln(SQRT2);
	/**
	 * SQRT2BY2
	 */
	public static final double SQRT2BY2 = SQRT2/2.0;
	/**
	 * SQRT3
	 */
	public static final double SQRT3 = Math.sqrt(3.0);
	/**
	 * SQRT3BY2
	 */
	public static final double SQRT3BY2 = SQRT3/2.0;
	/**
	 * D2BYSQRT3
	 */
	public static final double D2BYSQRT3 = 2.0/SQRT3;
	/**
	 * SQRT3BY3
	 */
	public static final double SQRT3BY3 = SQRT3/3.0;
	/**
	 * SQRT5
	 */
	public static final double SQRT5 = Math.sqrt(5.0);
	/**
	 * Not-a-Number
	 */
	public static final double NOT_A_NUMBER = Double.NaN;
}