Commons math tutorial: use mathematical tools in the Java library
Commons math tutorial: use mathematical tools in the Java library
Summary:
Commons Math is an open source Java class library that provides many mathematical tools and algorithms to facilitate developers to perform mathematical computing and data analysis.This tutorial will introduce how to use the Commons Math library in the Java program and provide some specific example code.
introduction:
In modern software development, mathematical computing and data analysis are very important parts.However, it is not easy to write high -efficiency and reliable mathematical computing code, and various complex algorithms and data structures need to be processed.To simplify this process, Commons Math came into being.
Commons Math is an open source Java class library, which aims to provide high -quality, reusable mathematical tools and algorithms.It contains many common mathematical functions, statistical methods, optimized algorithms, linear algebraic operations, etc., which is convenient for developers to perform various mathematical computing and data analysis in the Java program.
This tutorial will guide readers to understand the basic concepts and usage of the Commons Math library, and to demonstrate how to use these mathematical tools in the Java program through some specific example code.
Table of contents:
1. Introduce the Commons math library
2. Common mathematical functions and algorithms
2.1. Special function
2.2. Statistics method
2.3. Optimized algorithm
2.4. Random number generator
...
3. Linear algebra operation
3.1. Calculation of matrix
3.2. Linear equation group seeking solution
...
4. Data analysis
4.1. Descriptive statistics
4.2. Suppose inspection
...
5. Example code
5.1. Calculate the Fibonacci number column
5.2. Infitting curve
5.3. Solve the linear equation group
...
Start using the Commons Math library:
First, we need to introduce the Commons Math library to our Java project.We can manage project dependence through building tools such as Maven or Gradle.In the pom.xml file, add the following dependencies:
<dependencies>
<dependency>
<groupId>org.apache.commons</groupId>
<artifactId>commons-math3</artifactId>
<version>3.6.1</version>
</dependency>
</dependencies>
After the dependence is introduced, we can use the various mathematical tools of the Commons Math Library in the Java code.
Example code:
Here are some examples of examples using the Commons Math library.
1. Calculate the Fibonacci quotation:
import org.apache.commons.math3.fibonacci.Fibonacci;
import org.apache.commons.math3.fibonacci.FibonacciSequence;
public class FibonacciExample {
public static void main(String[] args) {
Fibonacci fibonacci = new Fibonacci();
FibonacciSequence sequence = fibonacci.createSequence().withInitial(0).withInitial(1).withLength(10);
int[] fibonacciNumbers = sequence.toArray();
for (int number : fibonacciNumbers) {
System.out.println(number);
}
}
}
2. fit curve:
import org.apache.commons.math3.fitting.*;
public class CurveFittingExample {
public static void main(String[] args) {
WeightedObservedPoints points = new WeightedObservedPoints();
points.add(1, 2);
points.add(2, 3);
points.add(3, 4);
PolynomialCurveFitter fitter = PolynomialCurveFitter.create(2);
double[] coefficients = fitter.fit(points.toList());
for (double coefficient : coefficients) {
System.out.println(coefficient);
}
}
}
3. Solve the linear equation group:
import org.apache.commons.math3.linear.*;
import org.apache.commons.math3.util.*;
public class LinearEquationExample {
public static void main(String[] args) {
RealMatrix coefficients = MatrixUtils.createRealMatrix(new double[][]{{2, 3}, {4, 5}});
RealVector constants = new ArrayRealVector(new double[]{6, 7});
DecompositionSolver solver = new LUDecomposition(coefficients).getSolver();
RealVector solution = solver.solve(constants);
System.out.println(solution);
}
}
in conclusion:
Through this tutorial, we learned how to use the mathematical tools and algorithms of using the Commons Math library in the Java program.We have explored various common mathematical functions, statistical methods, linear algebraic operations and data analysis technologies, and demonstrated their usage through sample code.It is hoped that these knowledge will be helpful for your mathematical computing and data analysis in actual programming.
