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

Amen, Write a program that inputs two positive integers of, at most, 20 dig...

Write a program that inputs two positive integers of, at most, 20 digits and outputs the sum of the numbers. If the sum of the numbers has more than 20 digits, output the sum with

Implement a program that can draw graphs, 1. Implement a program where an e...

1. Implement a program where an ellipse follows the perimeter of the window. 2. Implement a program that can draw graphs, possibly following your plan from last week. Have it gr

Extensive programming platform .net, Extensive programming platform .NET ...

Extensive programming platform .NET It is a new, simple, and comprehensive selection foundation. It is not a selection terminology, but it can handle several selection dialects.

Java source code classes and objects, Design and implement a stringed music...

Design and implement a stringed musical instrument class using the following guidelines: a. Data fields for your instrument should include number of strings, an array of stri

Hr system, maake a programme in C of HR system

maake a programme in C of HR system

What is multithreaded programming, Question: (i) What is multithreaded...

Question: (i) What is multithreaded programming? Lists the benefits achieved by multithreading your code in a program. (ii) What type of coding should be eliminated when d

Shell script to print the name of file that has maximum size, Normal 0 ...

Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4

Write a program to draw a sketch of a cow, write a program to draw a cow. N...

write a program to draw a cow. Now, draw a cow standing amongst the grass, with (say) 500 blades of grass. Each blade of grass should be a separate random green line. Do all your d

Return value in an array, A specification of a function TOARR is given belo...

A specification of a function TOARR is given below. function TOARR(n in Int, s in Stack of Int) return in Array of Int pre n ≥ 0. post The returned value is an array of size

Java virtual machine, Expertsmind.com is expert in java assignment help ...

Expertsmind.com is expert in java assignment help JAVA Virtual Machine A Java exclusive device or java virtual machine (JVM) is an exclusive device able of undertaking Jav

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