sol1.c File Reference

Problem 16 solution More...

#include <math.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>

Include dependency graph for sol1.c:

Functions
int	main (int argc, char **argv)

Detailed Description

Problem 16 solution

Author

Krishna Vedala

Function Documentation

main()

int main	(	int	argc,
		char **	argv
	)

Main function

{
    const double tmp = log(10) / log(2); /* required to get number of digits */
    unsigned long MAX_NUM_DIGITS;
    uint8_t *digits =
        NULL; /* array to store individual digits. index 0 = units place */
    int N = 1000, sum = 0;
 
    if (argc == 2)
        N = atoi(argv[1]);
 
    MAX_NUM_DIGITS = (N + tmp) / tmp;
 
    digits = calloc(MAX_NUM_DIGITS, sizeof(uint8_t));
    digits[0] = 1;
 
    if (!digits)
    {
        perror("Unable to allocate memory!");
        return -1;
    }
 
    for (int i = 0; i < N; i++)
    {
        int carry = 0;
        for (int j = 0; j < MAX_NUM_DIGITS; j++)
        {
            digits[j] = (digits[j] << 1) + carry; /* digit * 2 + carry */
            // printf("\t value: %d\t", digits[j]);
            if (digits[j] > 9)
            {
                carry = 1;
                digits[j] -= 10;
            }
            else
                carry = 0;
            // printf("carry: %d\t value: %d\n", carry, digits[j]);
 
            /* accumulate sum for last multiplication */
            if (i == N - 1)
                sum += digits[j];
        }
    }
 
    printf("2^%d = ", N);
    for (int i = MAX_NUM_DIGITS - 1; i >= 0; i--) putchar(digits[i] + 0x30);
    printf("\n\t Sum: %d\t Num. digits: %lu\n", sum, MAX_NUM_DIGITS);
 
    free(digits);
    return 0;
}