Arithmetic Expressions Background | Postfix Notation Calculation | Java

By Hassnain Jamil -

Background

The arithmetic expressions considered in this project consist of non-negative integers, operators "+", "-", and "*", and parentheses "(" and ")". Arithmetic expressions are usually written using the infix notation, in which operators appear between the two operands on which they act (e.g., "2 + 2"). The evaluation of expressions in infix notation is done according to the standard order of operations: multiplications must be done first, from left to right, then all additions and subtractions, again from left to right. Parentheses can be used to change the order in which operations must be performed, e.g., the expression inside the innermost parentheses must be evaluated first, etc.

Since each of the considered operators takes exactly two operands, such an arithmetic expression can be represented as a proper binary tree whose internal nodes are associated with the expression's operators and whose leaves are associated with non-negative integers. This project requires you to write a program that reads a fully parenthesized arithmetic expression written in infix notation, constructs the corresponding binary tree, and then uses the tree to evaluate it and print the expression in postfix notation. A fully parenthesized infix expression is one where all operands are surrounded by either one parenthesis and one operator, or two parentheses. Recall that the postfix notation is an unambiguous way of writing an expression in which the operands precede the operator, and parentheses are not required. For example, the infix expression "( 3 * ( 4 + 7 ) )" would be written in postfix notation as "3 4 7 + *"

Implementation requirements 

You must implement and use your own binary tree class, and must implement at least one of the methods operating on the expression tree recursively. If needed, generic implementations provided by the Java collections framework can be used for other data structures (e.g., stacks).

Program Input

Your program should read from the standard input one line containing a fully parenthesized infix expression, with tokens (integers, operators, and parentheses) separated by spaces. You may assume that the expression is well-formed.

Program Output

The program should print two lines (both terminated with newline characters). The first line should contain the expression in postfix notation, with the tokens separated by single spaces, and no leading or trailing spaces. The second line should contain a single integer, corresponding to the value to which the expression evaluates

Sample Output


Custom Projects

For custom projects and Code please contact me at WhatsApp +92 324 7042178 or send me email at projecthelper247@gmail.com

Get Now


Buy now

CONTACT DETAILS

For any other questions or other tasks please feel free to contact me
via email: mhassnainjamil@gmail.com
via WhatsApp: +92-324-7042178
via skype: hassnainjamil1

Comments

Post a Comment

Popular posts from this blog

[SOLVED] Tape for a Turing Machine using Doubly-linked List in Java with full source code

By Anonymous -
Tape for a Turing Machine (Doubly-linked List) Short exercise in which you will code part of an existing project. In this case, you will be working with a doubly-linked list. To make this topic more interesting, the list that you work on will be part of a Turing Machine. A Turing Machine is a kind of very simple, abstract computing device that was introduced in the 1930's by Alan Turing as a way of studying computation and its limitations. The classes that you need for the lab are in a package named turing. You will define a new class named Tape in this package. You can find the Java source in the code directory. You should copy this directory into an Eclipse project. There will be errors, since the existing classes depend on the Tape class, which you have not yet written. Don't forget the Javadoc comments. A Class for Turing Machine Tapes A Turing machine works on a "tape" that is used for both input and output. The tape is made up of little squares called cell...
Read more

[SOLVED] ICT285 Databases TMA 2017 Assignment 1 | Relational Algebra, Database Design & Implementation

By Anonymous -
Relational Algebra A database records information about athletes competing at the Olympics. An athlete competes for a particular country in one or more events. Events take place at a scheduled day and time in a particular venue. The result (rank) is recorded for all athletes in the final of the event. The medal (gold, silver or bronze) is also recorded for the medal winners in the event. Note that we are not considering team sports or heats in this example – only individuals competing in the finals. The schema for this database is as follows: (Note that primary keys are shown underlined, foreign keys in bold). ATHLETE ( AthleteNo , AthleteName, CountryName) COUNTRY ( CountryName , NumberOfCompetitors) EVENT (EventName, ScheduledStart, VenueName ) VENUE (VenueName, City, Capacity) FINAL ( AthleteNo , EventName , Rank, Medal) Provide relational algebra (NOT SQL) queries to find the following informaList the name and country of all athletes. List the event name and scheduled...
Read more