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日期:2023-10-11 09:46

Project #1 (The URCalculator)

CSC 172 (Data Structures and Algorithms) Fall 2023,

University of Rochester

Due Date: Sunday October 15th 2022 end of day

Objectives

? Practice using Stacks and Queues based on Lists.

? (You must implement your own Lists, Stacks and Queues classes. You are not allowed to use the Java

library classes for those functionalities.)

? Learn how expression parsing and evaluation (Shunting-yard algorithm) works using Stacks and Queues.

(https://en.wikipedia.org/wiki/Shunting_yard_algorithm). This is the beginning of understanding how computers process formal languages.

The URCalculator

For this project, you need to implement a simple calculator application. The calculator should be able to perform

all of the basic operations like

? Addition (+)

? Subtraction (-)

? Multiplication (*)

? Division (/)

? Exponentiation (^)

? Equal to (=)

? Less than (<)

? Greater than (>)

? Logical AND (&)

? Logical OR (|)

? Logical NOT (!)

? Parentheses (())

For extra credit,you may add additional operations like

? Modulo (%)

? Sin (sin)

? Cin (cos)

? Tin (tan)

Project #1 (The UR Calculator) Page 1 / 4

What To Do

For this project, you will need to write a Java program that reads in a series of infix expressions from a plain text file,

converts the expressions to postfix notation, evaluates the postfix expressions, and saves the resulting answers to a

new text file. You may assume that the input file will contain valid infix expressions that can be safely evaluated to

numbers (e.g. they won’t include division by zero). Extra credit will be awarded if your program can safely handle

invalid input by printing a relevant error message in the output file.

The file “infix_expr_short.txt” provided with this prompt contains a subset of the expressions the TAs will

use when grading your program. The output of your program should exactly match “postfix_eval_short.txt”

in order to receive full credit. You can check if two files are equivalent by using the “diff” command on OS X or

Linux, or “FC” on Windows. It is strongly recommended that you write your own (additional) test cases and submit

them with your source code to demonstrate your program’s capabilities.

The locations of the input and output files will be supplied to your program via the command line. The first

command line argument will be the location of the input file (containing infix expressions), and the second argument

will be the location where your postfix evaluations should be stored. For example, if your main method were in a

class called InfixCalculator, your program should be run as:

java URCalculator infix_expr_short.txt my_eval.txt

You can create as many classes as required. But you need to name the main class as URCalculator.java

InFix_2_PostFix

The shunting-yard algorithm works by considering each “token” (operand or operator) from an infix expression and

taking the appropriate action:

1. If the token is an operand, enqueue it.

2. If the token is a close-parenthesis [‘)’], pop all the stack elements and enqueue them one by one until an

open-parenthesis [‘(‘] is found.

3. If the token is an operator, pop every token on the stack and enqueue them one by one until you reach either

an operator of lower precedence, or a right-associative operator of equal precedence (e.g. the logical NOT

and the exponential are right-associative operators). Enqueue the last operator found, and push the original

operator onto the stack.

4. At the end of the input, pop every token that remains on the stack and add them to the queue one by one.

The queue now holds the converted postfix expression and can be passed onto the postfix calculator for evaluation.

PostFix Evaluation

With your postfix expression stored in the queue, the next step is to evaluate it. The algorithm for evaluating a postfix

expression proceeds as follows:

1. Get the token at the front of the queue.

2. If the token is an operand, push it onto the stack.

Project #1 (The UR Calculator) Page 2 / 4

3. If the token is an operator, pop the appropriate number of operands from the stack (e.g. 2 operands for

multiplication, 1 for logical NOT). Perform the operation on the popped operands, and push the resulting

value onto the stack.

Repeat steps 1-3 until the queue is empty. When it is, there should be a single value in the stack – that value is the

result of the expression.

Hand In

Hand in the source code from this lab at the appropriate location on the Blackboard system at my.rochester.edu. You

should hand in a single compressed/archived (i.e. “zipped” file that contains the following.)

1. A plain text file named README that includes your contact information, a detailed synopsis of how your

code works and any notable obstacles you overcame, and a list of all files included in the submission. If you

went above and beyond in your implementation and feel that you deserve extra credit for a feature in your

program, be sure to explicitly state what that feature is and why it deserves extra credit.

2. Source code files (you may decide how many you need) representing the work accomplished in this project.

All source code files should contain author identification in the comments at the top of the file.

3. A plain text file named OUTPUT that includes author information at the beginning and shows the compile

and run steps of your code. The best way to generate this file is to cut and paste from the command line.

4. Any additional files containing extra test cases and your program’s corresponding output. Theses cases should

be described in your README so the grader knows what you were testing and what the expected results were.

Grading

This is an individual project. Total points: 100

? 70% Functionality

– 10% driver program that handles File I/O

– 30% infix to postfix conversion according to the shunting-yard algorithm

– 30% postfix evaluation

? 20% Testing

– 15% program passes the short tests

– 5% program passes the extended tests

? 10% README

Extra Credit

? Maximum Total Extra Credit on all items cannot exceed 30%

? up to 10% For supporting modulo, unary minus, sine, cosine, and/or tangent operators (2% each)

? 10% For gracefully handling invalid expressions and/or expressions that cannot be evaluated

? 10% ForGUI implementation

Project #1 (The UR Calculator) Page 3 / 4

? 3% for not having to require spaces between tokens.

Note:

? You must implement your own Lists, Stacks and Queues classes. You are not allowed to use the

Java library classes for those functionalities.

? No group projects. You may discuss ideas with your classmates, but do not exchange files containing

code.

? Your README must mention any of your classmates that you collaborated with.

? If you use any source from the Internet you must provide a reference to it in your comments and in your

README.

? No GUI for this project is required. You may add additional features to your calculator (for example,

trigonometric functions, exponential, power of a number, log, etc) for extra credit. You may implement a

GUI for extra credit. But, you must have a system that runs from the command line with filie I/O.

? You can create as many classes as required. But you must name the main class as URCalculator.java

? Expressions will contain spaces. Extra credit for not needing spaces.

? You can assume the datatype for all the numeric values is double.

? It is ok to use a special characterlike tilde “~” for unary minus to distinguish it from binary subtraction.

Project #1 (The UR Calculator) Page 4 / 4


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