Expression Tree, Programming Languages

Assignment Help:
For this assignment you will read a file expression.txt and create an expression tree. The expression will be a valid infix expression with the all the necessary parentheses so that there is no ambiguity in the order of the expression. You will evaluate the expression and print the result. You will also write the prefix and postfix versions of the same expression without any parentheses.

In an expression tree the nodes are either operators or operands. The operators will be in the set [''+'', ''-'', ''*'', ''/'']. The operands will be either integers or floating point numbers. All the operand nodes will be leaves of the expression tree. All the operator nodes will have exactly two children.

The outline of your program will be as follows:

class Stack (object):

class Node (object):

class Tree (object):
def __init__ (self):

def createTree (self, expr):

def evaluate (self, aNode):

def preOrder (self, aNode):

def postOrder (self, aNode):

def main():

main()
The function createTree() will take as input parameter an infix expression with parentheses as a String and create an Expression Tree from it. Assume that the expression string is valid.

You will take the expression string and break it into tokens. There are four different kinds of tokens - left parenthesis, right parenthesis, operator, and operand. When we read a left parenthesis we are starting a new expression and when we read a right parenthesis we are ending an expression. Here is the algorithm that you will use:

If the current token is a left parenthesis add a new node as the left child of the current node. Push current node on the stack and make current node equal to the left child.
If the current token is an operator set the current node''s data value to the operator. Push current node on the stack. Add a new node as the right child of the current node and make the current node equal to the right child.
If the current token is an operand, set the current node''s data value to the operand and make the current node equal to the parent by popping the stack.
If the current token is a right parenthesis make the current node equal to the parent node by popping the stack if it is not empty.
For the input file this is what your program will output:

( ( 8 + 3 ) * ( 7 - 2 ) ) = 55

Prefix Expression: * + 8 3 - 7 2

Postfix Expression: 8 3 + 7 2 - *

Related Discussions:- Expression Tree

Programming and modelling in uml, Introduction Currently, Omega has 178...

Introduction Currently, Omega has 178 stores UK wide. Most cities and large towns within the UK are catered for by Omega. Omega began in 1960's selling various makes of telep

Explain how web designers can deal with css , Explain, in your own words, ...

Explain, in your own words, how web designers can deal with CSS conflict resolution. What is the order of precedence between the different types of CSS (inline, embedded and extern

Create hijara game application, Assignment is to create hijara game on any ...

Assignment is to create hijara game on any plate form, you can use any plate form you like or easy to you. For instance let's say you can use visual studio, game studio (Prefer to

Calculating percentage differences-circuit diagram, In the procedure sectio...

In the procedure section, it is important to have a clear circuit diagram with component values and a brief, but accurate description of each step taken. 1. Tables for both the

Pros and cons of Assembly language, What are the main pros and cons of asse...

What are the main pros and cons of assembly programming language?

Program to records name-bounty and difficulty for ten target, You have been...

You have been employed by a bounty hunter to create hit list (yes... you better do this right). Create a Hit List program that can records the name, bounty, and difficulty for ten

The .net framework 3.5, Architecture and Components The .NET Framework 3.5 ...

Architecture and Components The .NET Framework 3.5 The .NET Structure (pronounced dot net) is an application framework that works generally on Enthusiasm Microsoft windows. It has

Design and construct a basic math program, For this assignment you will nee...

For this assignment you will need to design and construct a basic math program which targets elementary school children. Your program must adhere to the following steps and require

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd