# BIGINT LIBRARY make a menu introducing these options: Introducing the library Menu (Big integer arit

BIGINT LIBRARY make a menu introducing these options: Introducing the library Menu (Big integer arithmetic)

1- Adding two big integers (two options: user mode, random mode)

2- Multiplication of two big integers using classic algorithm (two options: user mode, random mode)

3- Multiplication of two big integers using Karatsuba algorithm (two options: user mode, random mode)

4- Multiplication of two big integers using Toom-Cook algorithm (two options: user mode, random mode)

5- Comparing the execution time of multiplication algorithms (two options: user mode, random mode)

6- Testing the correctness of algorithms

7- Continue or quit

Here is the code I have now can someone tell me how to fix it?

// main.c

#include
#include // for tolower()
#include
#include “BigArithmetic.h” // Our custom header file

#define RANDOM_LENGTH 1000

/* This function will print our menu for the user.
* Arguments taken: none
* Return value: none
*/
putchar(&#39;n&#39;);
printf(“1. Addition of two big integersn”);
printf(“2. Multiplicaiton of two big integers (Classical)n”);
printf(“3. Multiplicaiton of two big integers (Karatsuba)n”);
printf(“4. Multiplicaiton of two big integers (Toom-Cook)n”);
printf(“5. Compare the execution time of multiplication algorithmsn”);
printf(“6. Test the correctness of algorithmsn”);
printf(“8. Quitn”);
putchar(&#39;n&#39;);
}
// Main
int main(void) {
// Seed the random generator
srand(time(NULL));
// Allocate memory for our big integer variables
bigInt* big_num1 = (bigInt*)malloc(sizeof(bigInt));
bigInt* big_num2 = (bigInt*)malloc(sizeof(bigInt));
bigInt* big_num_sum = (bigInt*)malloc(sizeof(bigInt));
bigInt* big_num_product = (bigInt*)malloc(sizeof(bigInt));
// Some variables for the menu
int valid_response = 0;
char mode_selection;
// Variables for our timer function
clock_t begin;
clock_t end;
// Initialize the product to zero
big_num_product->digits[0] = &#39;0&#39;;
big_num_product->digits[1] = &#39;0&#39;;

// Print the menu and interact with the user

case 1:
// Make sure we&#39;re getting only the correct response
while (valid_response == 0) {
printf(“User mode or random mode? (u/r): “);
scanf(” %c”, &mode_selection);
mode_selection = tolower(mode_selection);
if (mode_selection == &#39;u&#39; || mode_selection == &#39;r&#39;) {
valid_response = 1;
}
else {
printf(“Invalid response. Please enter &#39;u&#39; or &#39;r&#39;.n”);
}
}
// Reset to 0 so the validation will work subsequent times
valid_response = 0;
putchar(&#39;n&#39;);
// User mode
if (mode_selection == &#39;u&#39;) {
printf(“Enter a big integer:n”);
GetBI(big_num1);
printf(“Enter another big integer:n”);
GetBI(big_num2);
printf(“The sum is:n”);
PrintBI(big_num_sum);
}
// Random mode
else {
Large_Rnd(big_num1, RANDOM_LENGTH);
Large_Rnd(big_num2, RANDOM_LENGTH);
begin = clock();
end = clock();
printf(“Big integer 1:n”);
PrintBI(big_num1);
printf(“nBig integer 2:n”);
PrintBI(big_num2);
printf(“nThe sum is:n”);
PrintBI(big_num_sum);
printf(“nExecution time: %f secondsn”, Timer(begin, end));
}
break;

// Classical multiplicaiton
case 2:
// Make sure we&#39;re getting only the correct response
while (valid_response == 0) {
printf(“User mode or random mode? (u/r): “);
scanf(” %c”, &mode_selection);
mode_selection = tolower(mode_selection);
if (mode_selection == &#39;u&#39; || mode_selection == &#39;r&#39;) {
valid_response = 1;
}
else {
printf(“Invalid response. Please enter &#39;u&#39; or &#39;r&#39;.n”);
}
}
// Reset to 0 so the validation will work subsequent times
valid_response = 0;
putchar(&#39;n&#39;);
// User mode
if (mode_selection == &#39;u&#39;) {
printf(“Enter a big integer:n”);
GetBI(big_num1);
printf(“Enter another big integer:n”);
GetBI(big_num2);
big_num_product = ClassicalMult(big_num1, big_num2, big_num_product, 10);
printf(“The product is:n”);
PrintBI(big_num_product);
}
// Random mode
else {
Large_Rnd(big_num1, RANDOM_LENGTH);
Large_Rnd(big_num2, RANDOM_LENGTH);
begin = clock();
big_num_product = ClassicalMult(big_num1, big_num2, big_num_product, 10);
end = clock();
printf(“Big integer 1:n”);
PrintBI(big_num1);
printf(“nBig integer 2:n”);
PrintBI(big_num2);
printf(“nThe product is:n”);
PrintBI(big_num_product);
printf(“nExecution time: %f secondsn”, Timer(begin, end));
}
break;

// Karatsuba Multiplication
case 3:
// Make sure we&#39;re getting only the correct response
while (valid_response == 0) {
printf(“User mode or random mode? (u/r): “);
scanf(” %c”, &mode_selection);
mode_selection = tolower(mode_selection);
if (mode_selection == &#39;u&#39; || mode_selection == &#39;r&#39;) {
valid_response = 1;
}
else {
printf(“Invalid response. Please enter &#39;u&#39; or &#39;r&#39;.n”);
}
}
// Reset to 0 so the validation will work subsequent times
valid_response = 0;
putchar(&#39;n&#39;);
// User mode
if (mode_selection == &#39;u&#39;) {
printf(“Enter a big integer:n”);
GetBI(big_num1);
printf(“Enter another big integer:n”);
GetBI(big_num2);
big_num_product = karatsubaMult(big_num1, big_num2, big_num_product, 10);
printf(“The product is:n”);
PrintBI(big_num_product);
}
// Random mode
else {
Large_Rnd(big_num1, RANDOM_LENGTH);
Large_Rnd(big_num2, RANDOM_LENGTH);
begin = clock();
big_num_product = karatsubaMult(big_num1, big_num2, big_num_product, 10);
end = clock();
printf(“Big integer 1:n”);
PrintBI(big_num1);
printf(“nBig integer 2:n”);
PrintBI(big_num2);
printf(“nThe product is:n”);
PrintBI(big_num_product);
printf(“nExecution time: %f secondsn”, Timer(begin, end));
}
break;

// Toom-Cook Multiplication
case 4:
// Make sure we&#39;re getting only the correct response
while (valid_response == 0) {
printf(“User mode or random mode? (u/r): “);
scanf(” %c”, &mode_selection);
mode_selection = tolower(mode_selection);
if (mode_selection == &#39;u&#39; || mode_selection == &#39;r&#39;) {
valid_response = 1;
}
else {
printf(“Invalid response. Please enter &#39;u&#39; or &#39;r&#39;.n”);
}
}
// Reset to 0 so the validation will work subsequent times
valid_response = 0;
putchar(&#39;n&#39;);
// User mode
if (mode_selection == &#39;u&#39;) {
printf(“Enter a big integer:n”);
GetBI(big_num1);
printf(“Enter another big integer:n”);
GetBI(big_num2);
big_num_product = ToomMult(big_num1, big_num2, big_num_product, 10);
printf(“The product is:n”);
PrintBI(big_num_product);
}
// Random mode
else {
Large_Rnd(big_num1, RANDOM_LENGTH);
Large_Rnd(big_num2, RANDOM_LENGTH);
begin = clock();
big_num_product = ToomMult(big_num1, big_num2, big_num_product, 10);
end = clock();
printf(“Big integer 1:n”);
PrintBI(big_num1);
printf(“nBig integer 2:n”);
PrintBI(big_num2);
printf(“nThe product is:n”);
PrintBI(big_num_product);
printf(“nExecution time: %f secondsn”, Timer(begin, end));
}
break;

// Compare Execution Times
case 5:
break;

// Test the correctness of the algorithms
case 6:
break;

case 7:
break;

// Quit
case 8:
break;

default:
printf(“Please enter a valid selection “);
break;
}
}
// Free the memory from our variables
free(big_num1);
free(big_num2);
free(big_num_sum);
free(big_num_product);
return 0;
}

//BigArithmetic.h

#include
#include // for srand(), rand()
#include // for time(), clock(), CLOCKS_PER_SEC
#include // for abs()
#include

// Make sure the header isn&#39;t defined somewhere else
#ifndef BIGARITHMETIC_H
#define BIGARITHMETIC_H
/* Maximum length of our big integers. If we multiply two
* 1000-digit numbers, we should end up with a 2000-digit
* product, so we want the max length to be large enough to
* accomodate a product of that size.
*/
#define MAX_LENGTH 2000
// Here we define our bigInt type with an array of characters
typedef struct {
char digits[MAX_LENGTH];
} bigInt;
/* This function will get a big integer from stdin.
* Arguments taken: Reference to a bigInt
* Return value: none
*/
void GetBI(bigInt* A) {
scanf(” %s”, A->digits);
}
/* This function will print out our big integer.
* Arguements taken: Reference to a big integer variable
* Return value: none
*/
void PrintBI(bigInt* A) {
for (int i = 0; i < strlen(A->digits); i++) {
putchar(A->digits[i]);
}
putchar(&#39;n&#39;);
}
/* This function will generate a random big integer.
* Arguments taken: Reference to a bigInt and the number of digits needed
* Return value: none
*/
void Large_Rnd(bigInt* A, int size) {
for (int i = 0; i
A->digits[i] = (rand() % 10) + 48;
}
// Terminate the string
A->digits[size] = &#39;0&#39;;
}
/* This function will time the execution of a particular block of code.
* Arguments taken: The beginning and end times of the code
* Return value: A double representing the difference between the beginning
* and end
*/
double Timer(clock_t begin, clock_t end) {
return (double)(end – begin) / CLOCKS_PER_SEC;
}
/* This function will find the maximum of two integers.
* Arguments taken: Two integers
* Return value: the largest of the two
*/
int max(int A, int B) {
if (A > B) {
return A;
}
else {
return B;
}
}
/* This funcion will take a big int and shift the digits to the right
* in order to prepend however many zeros on the front we need.
* Arguments taken: Reference to a bigInt, and the number of zeroes to pad
* Return value: none
*/
/* We need to move the null zero at the end of the string as well, so
* we&#39;ll add one to the last index (our starting position) so we can
* move it as well.
*/
for (int index = strlen(A->digits) + 1; index >= 0; –index) {
A->digits[index] = &#39;0&#39;;
}
}
/* This funcion will take a big int and pad the tail with as many
* extra zeroes as we need.
* Arguments taken: Reference to a bigInt, and the number of zeroes to pad
* Return value: none
*/
int old_length = strlen(A->digits);
int new_length = strlen(A->digits) + padding;
// Terminate the string at the new length
A->digits[new_length] = &#39;0&#39;;
// Fill in the space between with zeroes
for (int i = old_length; i
A->digits[i] = &#39;0&#39;;
}
}
/* This function will trim any leading zeroes from a big integer. We do
* this by shifting everything in the array to the left.
* Arguments taken: Reference to a bigInt
* Return value: none
*/
int diff = 0;
int i;
// First, we find where the zeros stop
while (A->digits[diff] == &#39;0&#39;) {
++diff;
}
// Then we start shifting everything to the left
for (i = 0; A->digits[i] != &#39;0&#39;; ++i) {
A->digits[i] = A->digits[i + diff];
}
// Now terminate the string
A->digits[i + 1] = &#39;0&#39;;
}
/* This function will add two big integers.
* Arguments taken: References to the two bigInts to add, and a
* reference to the sum for the bigInts
* Return value: none
*/
void addition(bigInt* A, bigInt* B, bigInt* C) {
int carry = 0;
int sizeA = strlen(A->digits);
int sizeB = strlen(B->digits);
int size_diff = abs(sizeA – sizeB);
/* We want to make sure A and B are strings of the same length. But if
* one is shorter, we need to pad zeroes at the head.
*/
if (sizeA == sizeB) {
;
}
else if (sizeA
}
else {
}
// Since the two terms should now be equal length, we&#39;ll use this for indexing
int len_of_terms = strlen(A->digits);
/* Initialize C to all zeros with a null zero at the end to terminate the
* string. We will make C one digit longer than the max length of A and B.
*/
for (int i = 0; i
C->digits[i] = &#39;0&#39;;
}
C->digits[len_of_terms + 1] = &#39;0&#39;;
/* We start our additon from right to left, so our starting index for the
* terms is the length of the terms minus one. But since the sum is
* one digit longer, the sum will start at the length of the terms.
*
* To make sure we&#39;re doing addition that makes sense, we need to assess
* the ascii values for the characters. So, for example, if A and B are
* 1 and 2 respectively, adding them will give us 99, the ascii value for
* 3. So we have to subtract 48 to give us the integer value. We then mod
* with 10 to get the value in case the added integer value is greater
* ten so we can assess the carry. We then add 48 back to that integer
* value to get the character value.
*
* To get the carry value, we simple divide the integer values of the two
* characters by 10. Since it&#39;s an integer, it will truncate the decimal
* portion, giving us the value of the 10&#39;s place.
*/
for (int index = len_of_terms – 1; index >= 0; –index) {
C->digits[index + 1] = (((carry + ((A->digits[index] + B->digits[index]) – 96)) % 10) + 48);
carry = ((A->digits[index] + B->digits[index]) – 96) / 10;
}
// Make sure we account for the carry on the last addition
C->digits[0] = (carry + 48);
}
/* This fucntion will perform multiplication on two big integers by the
* classical algorithm. This is the recursive implementation.
* Arguments taken: Two big integers to multiply, a big integer for the
* product of the two, and the base of the big integers
* Return value: the big integer product
*
* NOTE: Currently, this is working perfectly for single digit multiplication,
* but not for anything greater than single digits. I&#39;m getting bogged down in
* the recursive part of this algorithm and I&#39;m not sure what I&#39;m doing wrong.
*/
bigInt* ClassicalMult(bigInt* A, bigInt* B, bigInt* product, int base) {
bigInt* temp_bigInt = (bigInt*)malloc(sizeof(bigInt));
int carry = 0;
int sizeA = strlen(A->digits);
int sizeB = strlen(B->digits);
int size_diff = abs(sizeA – sizeB);
/* As with the addition function, we want to make sure the two terms
* are the same length.
*/
if (sizeA == sizeB) {
;
}
else if (sizeA
}
else {
}
/* Since the two terms should now be equal length, we&#39;ll use this
* for indexing.
*/
int len_of_terms = strlen(A->digits);

/* This is our end condtion: if the length of the terms is 1. We have to
* make sure we&#39;re multiplying them as integers, then converting them back
* to characters.
*/
if (len_of_terms == 1) {
temp_bigInt->digits[2] = &#39;0&#39;;
temp_bigInt->digits[1] = ((((A->digits[0] * B->digits[0]) – 2304) – (48 * (A->digits[0] + B->digits[0] – 96))) % 10) + 48;
temp_bigInt->digits[0] = ((((A->digits[0] * B->digits[0]) – 2304) – (48 * (A->digits[0] + B->digits[0] – 96))) / 10) + 48;
return product;
}
// Here&#39;s the recursive part
else {
int m = len_of_terms / 2;
// Set up our variables
bigInt* a = (bigInt*)malloc(sizeof(bigInt));
bigInt* b = (bigInt*)malloc(sizeof(bigInt));
bigInt* c = (bigInt*)malloc(sizeof(bigInt));
bigInt* d = (bigInt*)malloc(sizeof(bigInt));
bigInt* ac = (bigInt*)malloc(sizeof(bigInt));
bigInt* bc = (bigInt*)malloc(sizeof(bigInt));
bigInt* bd = (bigInt*)malloc(sizeof(bigInt));
// Break the A and B big integers in half
for (int i = 0; i
a->digits[i] = A->digits[i];
b->digits[i] = A->digits[m + i];
c->digits[i] = B->digits[i];
d->digits[i] = B->digits[m + i];
}
// Terminate the strings
a->digits[m] = &#39;0&#39;;
b->digits[m] = &#39;0&#39;;
c->digits[m] = &#39;0&#39;;
d->digits[m] = &#39;0&#39;;
// Recurse
ac = ClassicalMult(a, c, product, 10);
ad = ClassicalMult(a, d, product, 10);
bc = ClassicalMult(b, c, product, 10);
bd = ClassicalMult(b, d, product, 10);
/* —————————
* This is the pat where everything seems to go off the rails. I&#39;m not
* sure what it is that&#39;s going wrong here. Somehow I&#39;m not looking at
* this correctly.
* —————————
*/
// Perform the addition for the middle term
/* Instead of multiplying the numbers by a power of 10, we simply pad
* the tail of the number with the appropriate amount of zeroes
*/
return product;
}
}
/* This fucntion will perform multiplication on two big integers by the
* Karatsuba algorithm.
* Arguments taken: Two big integers to multiply, a big integer for the
* product of the two, and the base of the big integers
* Return value: the big integer product
*/
bigInt* karatsubaMult(bigInt* A, bigInt* B, bigInt* product, int base) {

return product;
}
/* This fucntion will perform multiplication on two big integers by the
* Toom Cook algorithm.
* Arguments taken: Two big integers to multiply, a big integer for the
* product of the two, and the base of the big integers
* Return value: the big integer product
*/
bigInt* ToomMult(bigInt* A, bigInt* B, bigInt* product, int base) {
return product;
}
/* This function will compare the execution time between two algorithms,
* with randomly generated big integers.
* Arguments taken: two characters representing the two algorithms to
* compare, and the number of digits to use in the integers that are being
* multiplied.
* Return value: none
*/
void CompareAlgorithms(char firstAlgorithm, char secondAlgorithm, int size) {

}
#endif // #ifndef BIGARITHMETIC_H