Commons math document interpretation: detailed explanation
Commons math document interpretation: detailed explanation
Overview:
Commons Math is an open source Java mathematical library that provides a large number of mathematical tools and algorithms that can be used to solve various mathematical problems.It contains many common functions such as mathematical functions, statistical tools, linear algebraic operations, random number generation, and optimization algorithms.The document of the library is written in the Javadoc format, providing developers with detailed explanation and example code to help them use these functions in the project.
1. The structure and function of the library:
1. Math Functions:
Commons Math provides a variety of commonly used mathematical functions, such as triangular functions, index functions, pairing functions, etc.The document of these functions detailed the purpose, parameters, and return value types of the function, and provided a sample code.
Example code:
double result = math.sin (30); // Calculate 30 degrees of sine values
System.out.println(result);
2. Statistics Tools:
Commons Math contains some statistical tools to describe and analyze data sets.These tools can calculate the mean, difference, standard deviation, etc. of the data, and provide functions such as hypothetical inspection, regression analysis.
Example code:
DescriptiveStatistics stats = new DescriptiveStatistics();
stats.addValue(10);
stats.addValue(20);
stats.addValue(30);
double mean = stats.getMean (); // Calculate mean
System.out.println(mean);
3. Linear Algebra Operations:
Commons Math provides the function of linear algebraic operations, such as matrix multiplication, matrix find reverse, feature value calculation, etc.Developers can use these functions for linear algebra related calculations.
Example code:
double[][] matrixData = {{1, 2}, {3, 4}};
RealMatrix matrix = MatrixUtils.createRealMatrix(matrixData);
Realmatrix INVERSE = MATRIXUTILS.INVERSE (Matrix); //
System.out.println(inverse);
4. Random Number Generation:
Commons Math contains random number generating tools, which can generate random numbers according to different distribution.Support distribution includes uniform distribution, normal distribution, Poor pine distribution, etc.
Example code:
RandomGenerator rg = new Well19937c();
NormalDistribution distribution = new NormalDistribution(0, 1);
double randomvalue = distriction.sample (); // generate a random number that obeys the standard normal distribution
System.out.println(randomValue);
5. Optimization AlgorithMS:
Commons Math provides some optimization algorithms to solve the optimization problem.Support algorithms include linear planning, non -linear planning, global optimization, etc.
Example code:
double [] coefficients = {2, 3, 1}; // The coefficient of the target function
LinearObjectiveFunction objectiveFunction = new LinearObjectiveFunction(coefficients, 0);
ArrayList<LinearConstraint> constraints = new ArrayList<>();
constraints.add(new LinearConstraint(new double[]{1, 1, 1}, Relationship.LEQ, 100));
constraints.add(new LinearConstraint(new double[]{1, 0, 0}, Relationship.GEQ, 0));
constraints.add(new LinearConstraint(new double[]{0, 1, 0}, Relationship.GEQ, 0));
constraints.add(new LinearConstraint(new double[]{0, 0, 1}, Relationship.GEQ, 0));
SimplexSolver solver = new SimplexSolver();
POINTVALUEPAIR SOLUTION = SOLVER.OPTIMIZE (ObjectiveFunction, New LinearConstraintSet (Constraints), Goaltype.maximize); // Find the optimal solution
double maxValue = solution.getValue();
System.out.println(maxValue);
2. Use documents:
Commons Math's document provides a complete class and method description. Developers can use the library according to the following steps:
1. Introduce the dependence of the library:
<dependency>
<groupId>org.apache.commons</groupId>
<artifactId>commons-math3</artifactId>
<version>3.6.1</version>
</dependency>
2. View document:
Developers can understand the purpose, parameters, and return value of each class and method through the Javadoc documentation.The document also provides example code to help developers understand how to use these functions.
3. Import and use how to use:
Developers can import the required classes according to the sample code in the document, and call the corresponding method to complete the required mathematical calculations.
Summarize:
Commons Math is a functional Java mathematical library that provides a large number of mathematical tools and algorithms.By viewing its detailed documents, developers can quickly understand and use the functions of the library.Example code can also help developers better understand how to use these functions and improve the efficiency and accuracy of mathematical computing.
