Symja - computer algebra language & symbolic math library. A collection of popular algorithms implemented in pure Java.
GPL-3.0 License
Note: this repository contains the Java 11 sources of the core modules. A minimal Android app example can be found in the symja-example repository :
Try the full-blown Android or iOS apps:
or help testing the latest Android BETA version or the web demo at matheclipse.org.
Read the Symja Manual 📘 for the description of the Symja language or browse the available functions 📗 . We encourage everyone to participate in our Wiki.
The different kinds of installations are described in the Wiki Installation.
Features of the Symja language:
Appengine web interface symjaweb.appspot.com - available as open source in this Github repository
Android App Calculator N+ on Google play store - available as open source in this Github repository provides an IDE mode to calculate arbitrary Symja expressions.
Eclipse EASE extension - use Symja as a REPL in Eclipse with this example Github repository which contains some Symja example scripts.
To get an idea of the kinds of expressions Symja handles, see the JUnit tests in this file.
Manipulate(Plot3D(Sin(a * x * y), {x, -1.5, 1.5}, {y, -1.5, 1.5}), {a,1,5})
Plot(Piecewise({{x^2, x < 0}, {x, x >= 0&&x<1},{Cos(x-1), x >= 1}}), {x, -2, 12})
package org.matheclipse.core.examples;
import org.matheclipse.core.eval.ExprEvaluator;
import org.matheclipse.core.expression.F;
import org.matheclipse.core.interfaces.IAST;
import org.matheclipse.core.interfaces.IExpr;
import org.matheclipse.core.interfaces.ISymbol;
import org.matheclipse.parser.client.SyntaxError;
import org.matheclipse.parser.client.math.MathException;
public class Example {
public static void main(String[] args) {
try {
ExprEvaluator util = new ExprEvaluator(false, (short) 100);
// Convert an expression to the internal Java form:
// Note: single character identifiers are case sensitive
// (the "D()" function identifier must be written as upper case
// character)
String javaForm = util.toJavaForm("D(sin(x)*cos(x),x)");
// prints: D(Times(Sin(x),Cos(x)),x)
System.out.println("Out[1]: " + javaForm.toString());
// Use the Java form to create an expression with F.* static
// methods:
ISymbol x = F.Dummy("x");
IAST function = F.D(F.Times(F.Sin(x), F.Cos(x)), x);
IExpr result = util.eval(function);
// print: Cos(x)^2-Sin(x)^2
System.out.println("Out[2]: " + result.toString());
// Note "diff" is an alias for the "D" function
result = util.eval("diff(sin(x)*cos(x),x)");
// print: Cos(x)^2-Sin(x)^2
System.out.println("Out[3]: " + result.toString());
// evaluate the last result (% or $ans contains "last answer")
result = util.eval("%+cos(x)^2");
// print: 2*Cos(x)^2-Sin(x)^2
System.out.println("Out[4]: " + result.toString());
// evaluate an Integrate[] expression
result = util.eval("integrate(sin(x)^5,x)");
// print: 2/3*Cos(x)^3-1/5*Cos(x)^5-Cos(x)
System.out.println("Out[5]: " + result.toString());
// set the value of a variable "a" to 10
// Note: in server mode the variable name must have a preceding '$'
// character
result = util.eval("a=10");
// print: 10
System.out.println("Out[6]: " + result.toString());
// do a calculation with variable "a"
result = util.eval("a*3+b");
// print: 30+b
System.out.println("Out[7]: " + result.toString());
// Do a calculation in "numeric mode" with the N() function
// Note: single character identifiers are case sensistive
// (the "N()" function identifier must be written as upper case
// character)
result = util.eval("N(sinh(5))");
// print: 74.20321057778875
System.out.println("Out[8]: " + result.toString());
// define a function with a recursive factorial function definition.
// Note: fac(0) is the stop condition.
result = util.eval("fac(x_Integer):=x*fac(x-1);fac(0)=1");
// now calculate factorial of 10:
result = util.eval("fac(10)");
// print: 3628800
System.out.println("Out[9]: " + result.toString());
function =
F.Function(F.Divide(F.Gamma(F.Plus(F.C1, F.Slot1)), F.Gamma(F.Plus(F.C1, F.Slot2))));
// eval function ( Gamma(1+#1)/Gamma(1+#2) ) & [23,20]
result = util.evalFunction(function, "23", "20");
// print: 10626
System.out.println("Out[10]: " + result.toString());
} catch (SyntaxError e) {
// catch Symja parser errors here
System.out.println(e.getMessage());
} catch (MathException me) {
// catch Symja math errors here
System.out.println(me.getMessage());
} catch (final Exception ex) {
System.out.println(ex.getMessage());
} catch (final StackOverflowError soe) {
System.out.println(soe.getMessage());
} catch (final OutOfMemoryError oome) {
System.out.println(oome.getMessage());
}
}
}
How to use Maven is described in the Maven wiki page.
First, you'll need a Java Development Kit (JDK) compatible with Java 11 or later.
The Integrated Development Environment (IDE) Eclipse is shipped with a suitable JDK, so you don't have to install a JDK by yourself. Install and open the latest version of the Eclipse development IDE for Java Developers:
a) Fork the Symja repository to use as a starting point.
b) Clone your new repository to your Eclipse workspace.
master
branch on the next screen, and click "Next >".symja_android_library
automatically, click "Finish".See this Git version control with Eclipse (EGit) - Tutorial for a general overview.
If you have any questions about using or developing for this project, send me an email!
If you would like to use parts of the system here are some Maven module licenses:
parser, external, core
are published under LGPL license.gpl, api, io
are published under GPL license.Here are some of the associated Java library dependency licenses:
Here are some of the associated JavaScript licenses: