v.3.0.0 (2016-05-18): Major update: Random numbers, Probability distributions & Random variables, Double precision rounding, ULP rounding, epsilon comparison, New special functions.

.NET: since v.3.0.0 dll - different private key used for signing.

Random numbers - new functions

• rUni(a, b) - Random number from uniform continuous distribution U(a,b)
• rUnid(a, b) - Random number from uniform discrete distribution U{a,b}
• rNor(m, s) - Random number from normal distribution N(m,s)
• rList(a1, a2, ..., an) - Random number from given list of numbers

Probability distributions - new functions

• pUni(x, a, b) - Probability distribution function - Uniform continuous distribution U(a,b)
• cUni(x, a, b) - Cumulative distribution function - Uniform continuous distribution U(a,b)
• qUni(q, a, b) - Quantile function (inverse cumulative distribution function) - Uniform continuous distribution U(a,b)
• pNor(x, a, b) - Probability distribution function - Normal distribution N(m,s)
• cNor(x, a, b) - Cumulative distribution function - Normal distribution N(m,s)
• qNor(q, m, s) - Quantile function (inverse cumulative distribution function) - Normal distribution N(m,s)

Random variables (predefined) - acting as random constant (no parameters)

• [Int] - Random variable - random integer
• [Int1] - Random variable - random integer - Uniform discrete distribution U{-10^1, 10^1}
• [Int2] - Random variable - random integer - Uniform discrete distribution U{-10^2, 10^2}
• [Int3] - Random variable - random integer - Uniform discrete distribution U{-10^3, 10^3}
• [Int4] - Random variable - random integer - Uniform discrete distribution U{-10^4, 10^4}
• [Int5] - Random variable - random integer - Uniform discrete distribution U{-10^5, 10^5}
• [Int6] - Random variable - random integer - Uniform discrete distribution U{-10^6, 10^6}
• [Int7] - Random variable - random integer - Uniform discrete distribution U{-10^7, 10^7}
• [Int8] - Random variable - random integer - Uniform discrete distribution U{-10^8, 10^8}

• [Int9] - Random variable - random integer - Uniform discrete distribution U{-10^9, 10^9}

• [nat] - Random variable - random natural number including 0

• [nat1] - Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^1}

• [nat2] - Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^2}
• [nat3] - Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^3}
• [nat4] - Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^4}
• [nat5] - Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^5}
• [nat6] - Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^6}
• [nat7] - Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^7}
• [nat8] - Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^8}

• [nat9] - Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^9}

• [Nat] - Random variable - random natural number

• [Nat1] - Random variable - random natural number - Uniform discrete distribution U{1, 10^1}

• [Nat2] - Random variable - random natural number - Uniform discrete distribution U{1, 10^2}
• [Nat3] - Random variable - random natural number - Uniform discrete distribution U{1, 10^3}
• [Nat4] - Random variable - random natural number - Uniform discrete distribution U{1, 10^4}
• [Nat5] - Random variable - random natural number - Uniform discrete distribution U{1, 10^5}
• [Nat6] - Random variable - random natural number - Uniform discrete distribution U{1, 10^6}
• [Nat7] - Random variable - random natural number - Uniform discrete distribution U{1, 10^7}
• [Nat8] - Random variable - random natural number - Uniform discrete distribution U{1, 10^8}

• [Nat9] - Random variable - random natural number - Uniform discrete distribution U{1, 10^9}

• [Nor] - Random variable - Normal distribution N(0,1)

Double precision rounding

• round(value, places) - decimal rounding (half-up)

New special functions

• erf(x) - Gauss error function
• erfc(x) - Gauss complementary error function
• erfInv(x) - Inverse Gauss error function
• erfcInv(x) - Inverse Gauss complementary error function

Other functions

• ulp(x) - Unit in The Last Place

Binary relations - epsilon+ulp comparison - enabled as default

If a rel b then applied epsilon is maximum from epsilon and ulp(b) : i.e. a eq b if a \in [b-eps; b+eps] inclusive

• mXparser.setExactComparison()
• mXparser.setEpsilonComparison()
• mXparser.setEpsilon(double epsilon)
• mXparser.setDefaultEpsilon()
• mXparser.getEpsilon()
• mXparser.checkIfEpsilonMode()
• mXparser.checkIfExactMode()

Intelligent automatic double ULP rounding - enabled as default

** Try 0.1 + 0.1 + 0.1 - it will give exact 0.3 :-) **

• mXparser.enableUlpRounding()
• mXparser.disableUlpRounding()
• mXparser.checkIfUlpRounding()

Parser tokens definition now public in API

• mxparser.parsertokens

Expression after tokenization now public in API

• Expression.getCopyOfInitialTokens()
• mxparser.parsertokens
• mXparser.consolePrintTokens()

Significant reorganization of code

• Mainly mathcollection & parser tokens

Backwards compatibility

• is preserved for String API, Expression, Function, Argument, Constnat, ...
• other public API was reorganized (mainly mxparser.mathcollection)

Bugs fixed

• bugs related to iterated operators

Other changes

• Many new regression tests

Enjoy :-)