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

Define functions with no arguments and no return values, Define Functions w...

Define Functions with no arguments and no return values? When a function has no arguments it doesn't receive any data from the calling function. Likewise, it doesn't return any

Scramble word game, The aims of this assignment are to:    Provide e...

The aims of this assignment are to:    Provide experience in the use of a modern Integrated Development Environment (specifically NetBeans running on a Linux platform) for t

Define an example of switch statement, Define an Example of Switch Statemen...

Define an Example of Switch Statement? estimate(number) int number; /* Estimate a number as none, one, two, several, many */ {       switch(number) { case 0 :

Memory hierarchy for linux systems, Memory Hierarchy for Linux Systems ...

Memory Hierarchy for Linux Systems A cache line has one or more valid bit(s), tag entry and list of bytes in a block in one set of a cache, as shown below: If you were

C programming, write a function that raises an integer to a positive intege...

write a function that raises an integer to a positive integer power. call the function x_to_the_n taking two integer arguments x and n. have the function return a long int, which r

Mathematical expression of linear programming problem, A Consultant Dietici...

A Consultant Dietician provides diet and nutritional advice to clients. A client's diet requires that all the food s/he eats come from one of the four "basic food groups" (chocolat

Program to find the largest value in an array, 1. Write out a detailed plan...

1. Write out a detailed plan for a program to find the largest value in an array that is smaller than a ceiling C. For example, suppose the array has the values {4, 14, 11, 100, 6}

Shell script to convert decimal no. to any other base no., Normal 0 ...

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

Included applications, Hi, Can any of you, tell me how to use Included Ap...

Hi, Can any of you, tell me how to use Included Applications?

Write a program to show twenty ellipses, Write a Program to Show Twenty Ell...

Write a Program to Show Twenty Ellipses 1. Write a program to show twenty ellipses which move away from the mouse pointer. Their initial locations should be random.

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