arjunagi/calcforinfinitenumbers

Computes sum, difference and product for 2 infinitely long numbers

Calculator for “Infinitely” Long Numbers

Given two really large non-negative integers, A and B, of unknown length (could be hundreds of digits), compute the accurate values of A+B, A-B, and A*B. However, you can only perform +, -, * for very small numbers directly. In this project, the goal is to implement a calculator for such “infinitely” long numbers. The 2 integers A and B are stored in seperate txt files.

The program should write to an output file the sum, difference, and product of the two input long numbers, as well as the number of block operations performed to obtain each of these values.

Block Size: The number of digits considered at a time for each operation. For example if the numbers are 1234 and 5678 and block size is 3, the operations will start with the number 234 and 678, i.e, 3 digits at a time.

Example:
For the below input with block size equal to 2:
1234554321098761111100022
3205

The output file will be
sum: 1 block operation.
1234554321098761111103227
difference: 4 block operations.
1234554321098761111096817
product: 55 block operations.
3956746599121529361075570510

Execution:
The program will run using the below command:
a.out –k op1 op2 result
where k is the block size and result is the name of the result file.

Code Logic

Data Structure: Doubly Linked List with a Root node storing the head and tail of the list.
Steps:

1. Both numbers are read from a seperate file and they are stored as Strings.
2. Two linked lists are created to store these numbers. Each node will have a block size number of digits from the string.
3. The addition, subtraction and multiplication operations are done using these two lists.
4. The result of these operations and the number of block operations used for each arithematic operation are stored in a result file and also displayed on the screen.

NOTE: When compiling in UNIX, please use "-lm" option. This is required as I am using math.h for the pow() function. Example: gcc -lm p2.c