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The tutorial consists of more than 200 live examples from 50 sections. Each of the examples can be copied and run on your own environment. In addition, mXparser provides an extensive collection of over 500 built-in math functions, expressions and symbols. Familiarize yourself with the scope and the syntax. Live testing is the best way to learn. Good luck! 🙂
Tutorial Math Collection API spec Download
Below is the code for JAVA, the code for C# is almost identical. To copy the code, double-click inside the frame.
Case 1: Fibonacci numbers using user defined recursive function
// JAVA: import org.mariuszgromada.math.mxparser.*;
// C#: using org.mariuszgromada.math.mxparser;
// ...
Function fib = new Function("fib(n) = if( n>1, fib(n-1)+fib(n-2), if(n>0, 1, 0) )");
Expression e = new Expression("fib(10)", fib);
mXparser.consolePrintln("Res 1: " + e.getExpressionString() + " = " + e.calculate());
mXparser.consolePrintln("Res 2: fib(11) = " + fib.calculate(11));
[mXparser-v.5.2.1] Res 1: fib(10) = 55.0
[mXparser-v.5.2.1] Res 2: fib(11) = 89.0
Case 2: Number of recursive parameters is not limited – binomial coefficient definition using user defined recursive function
// JAVA: import org.mariuszgromada.math.mxparser.*;
// C#: using org.mariuszgromada.math.mxparser;
// ...
Function Cnk = new Function("Cnk(n,k) = if( k>0, if( k<n, Cnk(n-1,k-1)+Cnk(n-1,k), 1), 1)");
Expression e = new Expression("Cnk(10,3) - C(10,3)", Cnk);
mXparser.consolePrintln("Res 1: " + e.getExpressionString() + " = " + e.calculate());
mXparser.consolePrintln("Res 2: Cnk(10,3) = " + Cnk.calculate(10,3));
[mXparser-v.5.2.1] Res 1: Cnk(10,3) - C(10,3) = 0.0
[mXparser-v.5.2.1] Res 2: Cnk(10,3) = 120.0
Case 3: Mixing function parameters – part causing recursive calls, other part as ‘typical’ parameter. Below example is presenting definition of Chebyshev polynomial using recursive function
// JAVA: import org.mariuszgromada.math.mxparser.*;
// C#: using org.mariuszgromada.math.mxparser;
// ...
Function T = new Function("T(n,x) = if(n>1, 2*x*T(n-1,x)-T(n-2,x), if(n>0, x, 1) )");
Argument k = new Argument("k = 5");
Argument x = new Argument("x = 2");
Expression e = new Expression("T(k,x) - ( (x + sqrt(x^2-1))^k + (x - sqrt(x^2-1))^k)/2", T, k, x);
mXparser.consolePrintln("Res : " + e.getExpressionString() + " = " + e.calculate());
[mXparser-v.5.2.1] Res : T(k,x) - ( (x + sqrt(x^2-1))^k + (x - sqrt(x^2-1))^k)/2 = 0.0
Case 4: Indirect recursion – approximating sin(x) and cos(x)
// JAVA: import org.mariuszgromada.math.mxparser.*;
// C#: using org.mariuszgromada.math.mxparser;
// ...
Constant a = new Constant("a = 0.0001");
Function s = new Function("s(x) = if( abs(x) < a, x, 2*s(x/2)*c(x/2) )", a);
Function c = new Function("c(x) = if( abs(x) < a, 1, c(x/2)^2-s(x/2)^2 )", a);
/*
* Functions s and c must point to each other,
* i.e. references should be added only after
* they have been created
*/
s.addDefinitions(c);
c.addDefinitions(s);
Expression e1 = new Expression("sin(5)-s(5)", s);
Expression e2 = new Expression("cos(5)-c(5)", c);
mXparser.consolePrintln("Res 1: " + e1.getExpressionString() + " = " + e1.calculate());
mXparser.consolePrintln("Res 2: " + e2.getExpressionString() + " = " + e2.calculate());
[mXparser-v.5.2.1] Res 1: sin(5)-s(5) = 1.829204866182E-4
[mXparser-v.5.2.1] Res 2: cos(5)-c(5) = -5.410012369295E-5
Nuget – Package Manager
Install-Package MathParser.org-mXparser -Version 5.2.1
dotnet add package MathParser.org-mXparser --version 5.2.1
<PackageReference Include="MathParser.org-mXparser" Version="5.2.1"/>
Maven – Dependency
<dependency>
<groupid>org.mariuszgromada.math</groupid>
<artifactid>MathParser.org-mXparser</artifactid>
<version>5.2.1</version>
</dependency>
Maven – Gradle
implementation 'org.mariuszgromada.math:MathParser.org-mXparser:5.2.1'
Maven – Gradle (Kotlin)
implementation("org.mariuszgromada.math:MathParser.org-mXparser:5.2.1")
GitHub
git clone https://github.com/mariuszgromada/MathParser.org-mXparser
OTHER DOWNLOAD OPTIONS
Download latest release – v.5.2.1 Orion: .NET bin onlyDownload latest release – v.5.2.1 Orion: JAVA bin onlyDownload latest release – v.5.2.1 Orion: bin + doc
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SOURCE CODE
Source code .zipSource code .tar.gz
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