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Mxparser

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MathParser.org-mXparser
Original author(s)Mariusz Gromada
Initial releaseJanuary 2010; 14 years ago (2010-01)
Stable release
6.1.0 / 19 October 2024; 44 days ago (2024-10-19)
Repositorygithub.com/mariuszgromada/MathParser.org-mXparser/
Written inJava, C#, C++
PlatformJVM, Android, C++, .NET, .NET Core, .NET Standard, Windows Phone, MONO, Xamarin, Xamarin.iOS, Xamarin.Android
Websitemathparser.org

mXparser is an open-source mathematical expressions parser/evaluator providing abilities to calculate various expressions at a run time.[1] 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

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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[2]

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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[2]

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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[2]

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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[2]

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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[2]

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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[2]

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Built-in mathematical constants, with high precision. 

Expression e = new Expression("sin(pi)+ln(e)");
double v = e.calculate();

Iterated operators[2]

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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[2]

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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[2]

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

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

Unicode mathematical symbols support[2]

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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

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

User-defined constants[3]

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

User-defined arguments[3]

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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[3]

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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[3]

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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[3]

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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[3]

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Documentation

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mXparser - source code

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Source code is maintained and shared on GitHub.[5]

See also

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References

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  1. ^ .org - project page
  2. ^ a b c d e f g h i j mXparser - Math Collection
  3. ^ a b c d e f g mXparser - Tutorial
  4. ^ mXparser - API specification
  5. ^ mXparser - source code on GitHub
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