MXparser

mXparser is an open-source mathematical expressions parser/evaluator providing abilities to calculate various expressions at a run time..org - project page Expressions definitions are given as plain text, then verified in terms of grammar / syntax, finally calculated. Library source code is maintained separately for Java and C#, providing the same API for Java/JVM, Android, .NET and Mono (Common Language Specification Compliant).

Main features / usage examples mXparser delivers functionalities such as: basic calculations, implied multiplication, built-in constants and functions, numerical calculus operations, iterated operators, user defined constants, user defined functions, user defined recursion, Unicode mathematical symbols support.

Basic operators Source:mXparser - Math Collection

mXparser supports basic operators, such as: addition '+', subtraction '-', multiplication '*', division '/', factorial '!', power '^', modulo '#'. Expression e = new Expression("2+3/(4+5)^4"); double v = e.calculate();

Implied multiplication Source:

Expression e = new Expression("2(3+4)3"); double v = e.calculate(); Expression e = new Expression("2pi(3+4)2sin(3)e"); double v = e.calculate();

Binary relations Source:

It is possible to combine typical expressions with binary relations (such as: greater than '>', less than '<', equality '=', inequality '<>', greater or equal '>=', lower or equal '<='), as each relation evaluation results in either '1' for true outcome, or '0' for false. Expression e = new Expression("(2<3)+5"); double v = e.calculate();

Boolean logic Source:

Boolean logic also operates assuming equivalence of '1 as true' and '0 as false'. Supported Boolean operators include: AND conjunction, OR disjunction, NAND Sheffer stroke, NOR, XOR Exclusive OR, IMP Implication, CIMP Converse implication, NIMP Material nonimplication, CNIMP Converse nonimplication, EQV Logical biconditional, Negation. Expression e = new Expression("1 --> 0"); double v = e.calculate();

Built-in mathematical functions Source:

Supported common mathematical functions (unary, binary and variable number of arguments), including: trigonometric functions, inverse trigonometric functions, logarithm functions, exponential function, hyperbolic functions, Inverse hyperbolic functions, Bell numbers, Lucas numbers, Stirling numbers, prime-counting function, exponential integral function, logarithmic integral function, offset logarithmic integral, binomial coefficient and others.

Expression e = new Expression("sin(0)+ln(2)+log(3,9)"); double v = e.calculate(); Expression e = new Expression("min(1,2,3,4)+gcd(1000,100,10)"); double v = e.calculate(); Expression e = new Expression("if(2<1, 3, 4)"); double v = e.calculate(); Expression e = new Expression("iff(2<1, 1; 3<4, 2; 10<2, 3; 5<10, 4)"); double v = e.calculate();

Built-in math constants Source:

Built-in mathematical constants, with high precision. Expression e = new Expression("sin(pi)+ln(e)"); double v = e.calculate();

Iterated operators Source:

Iterated summation and product operators. Expression e = new Expression("sum(i, 1, 10, ln(i))"); double v = e.calculate(); Expression e = new Expression("prod(i, 1, 10, sin(i))"); double v = e.calculate();

Numerical differentiation and integration Source:

mXparser delivers implementation of the following calculus operations: differentiation and integration. Expression e = new Expression("der( sin(x), x )"); double v = e.calculate(); Expression e = new Expression("int( sqrt(1-x^2), x, -1, 1)"); double v = e.calculate();

Prime numbers support Source:

Expression e = new Expression("ispr(21)"); double v = e.calculate(); Expression e = new Expression("Pi(1000)"); double v = e.calculate();

Unicode mathematical symbols support Source:

Expression e = new Expression("√2"); double v = e.calculate(); Expression e = new Expression("∜16 + ∛27 + √16"); double v = e.calculate(); Expression e = new Expression("∑(i, 1, 5, i^2)"); double v = e.calculate();

Elements defined by user Library provides API for creation of user-defined objects, such as: constants, arguments, functions.

User-defined constants Source:mXparser - Tutorial

Constant t = new Constant("t = 2*pi"); Expression e = new Expression("sin(t)", t); double v = e.calculate();

User-defined arguments Source:

Argument x = new Argument("x = 5"); Argument y = new Argument("y = 2*x", x); Expression e = new Expression("sin(x)+y", x, y); double v = e.calculate();

User-defined functions Source:

Function f = new Function("f(x, y) = sin(x)+cos(y)"); Expression e = new Expression("f(1,2)", f); double v = e.calculate();

User-defined variadic functions Source:

Function f = new Function("f(...) = sum( i, 1, [npar], par(i) )"); Expression e = new Expression("f(1,2,3,4)", f); double v = e.calculate();

User-defined recursion Source:

Function fib = new Function("fib(n) = iff( n>1, fib(n-1)+fib(n-2); n=1, 1; n=0, 0 ) )"); Expression e = new Expression("fib(10)", fib); double v = e.calculate();

Requirements Source: Java: JDK 1.5 or higher .NET/Mono: framework 2.0 or higher

Documentation Tutorial Javadoc API specificationmXparser - API specification

mXparser - source code Source code is maintained and shared on GitHub.mXparser - source code on GitHub

MXparser

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