viniciusfacco / FunctionProcessing

This is a master-slave application that computes the numerical integration of a function f(x) in a closed interval [a,b], using the Composite Trapezoidal rule from a Newton-Cotes postulation.

FunctionProcessing

This is a master-slave application that computes the numerical integration of a function f(x) in a closed interval [a,b], using the Composite Trapezoidal rule from a Newton-Cotes postulation. This implemetation supports AutoElastic elasticity model (https://github.com/viniciusfacco/autoelastic) for Cloud executions. You can download the class files and run the application.

Instructions

• Download the classes in the directory /class/
• Executing the master: java -classpath "THE_CLASSPATH" FunctionProcessing "SHARED_DIRECTORY_FOR_MESSAGES" "DIRECTORY_FOR_LOGS" "INPUT_FILE" "MASTER_IP" "AMOUNT_OF_INITIAL_SLAVES" "AMOUNT_OF_SLAVES_IN_EACH_OPERATION" "LOG_NAME"
• Executing the slaves: java -classpath "THE_CLASSPATH" FunctionProcessing "SHARED_DIRECTORY_FOR_MESSAGES" "DIRECTORY_FOR_LOGS"

Parameters

• "THE_CLASSPATH": Path where the classes (/class/) are;
• "SHARED_DIRECTORY_FOR_MESSAGES": Path where the master and slave processes check for messages (files);
• "DIRECTORY_FOR_LOGS": Path where master and slave save logs;
• "INPUT_FILE": Full path to the application input file;
• "MASTER_IP": IP of the virtual machine where the master process is;
• "AMOUNT_OF_INITIAL_SLAVES": Number of initial connections that the master process waits to start computing;
• "AMOUNT_OF_SLAVES_IN_EACH_OPERATION": Number of sockets the master connects or disconnects in each elasticity operation;
• "LOG_NAME": The name of the log.

Application Input

The master process reads a file with the function and its parameters. The current version suports six different application patterns and two different types of input files ("variavel" and "fixo"). The directory /jobs/ contains six files with parameters for the supported patterns. The type of this input files are "variavel" since it's easier to manipulate these files and customize the parameters. Here is a descrition of an "variavel" input file:

variavel
[function,interval_begin,interval_end]
[funtion_type,amount_of_equations,v,w,y,z]

• [function] is the real equation to be computed. This parameter must follow the pattern [+ or -];[number];[x]^[number];[+ or -];[number];[x]^[number];[+ or -];[number];[x]^[number] (how many times desired);
• [interval_begin] the "a" parameter of the interval;
• [interval_end] the "b" parameter of the interval;
• [funtion_type] can be: CON, CRE, DEC, OND, EX+ and EX-;
• [amount_of_equations] the amount of individual funtions (using always the same [function]);
• [v,w,y,z] the master uses these parameters to generate the interval size of each equation.