mirror of
https://github.com/TheAlgorithms/C
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173 lines
3.1 KiB
C
173 lines
3.1 KiB
C
/*
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AUTHOR: Christian Bender
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DATE: 12.02.2019
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DESCRIPTION: This program calculates the prime factoriziation of a positive integer > 1
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*/
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#include <stdio.h>
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#include <stdlib.h>
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#include <string.h>
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#include <assert.h>
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/* initial length of the dynamic array */
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#define LEN 10
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/* increasing range */
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#define STEP 5
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/*
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this type is for the representation of the prim factoriziation
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- its series/range of prime factors
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- its length : numbers of prime factors
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*/
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typedef struct data
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{
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int * range;
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int length;
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} range;
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typedef range* Range;
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/* int_fac : calculates the prime factoriziation of positive integers */
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Range int_fact(int);
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/* print_arr : prints the integer (heap) array*/
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void print_arr(Range);
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/* increase : increases the dynamic integer array */
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int * increase(int *, int);
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/* destroy: destroys the range-structure */
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void destroy(Range);
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/*
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main : simle frame program with a simple UI
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*/
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int main()
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{
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int n = 0; /* for user input */
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printf("\t\tPrim factoriziation\n\n");
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printf("positive integer (> 1) ? ");
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scanf("%d", &n);
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Range r = int_fact(n);
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printf("\nThe factoriziation are: ");
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print_arr(r);
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destroy(r);
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return 0;
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}
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Range int_fact(int n)
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{
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assert(n > 1); /* precondition : n must be greater then 1*/
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int len = LEN;
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int count = 0;
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int i = 0;
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int * range = (int *) malloc(sizeof(int) * len);
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assert(range);
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Range pstr = (Range) malloc(sizeof(range));
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assert(pstr);
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while (n % 2 == 0)
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{
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n /= 2;
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if (i < len)
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{
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range[i] = 2;
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i++;
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}
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else
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{
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range = increase(range, len);
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len += STEP;
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range[i] = 2;
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i++;
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}
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count++;
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}
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int j = 3;
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while (j*j <= n)
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{
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while (n % j == 0)
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{
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n /= j;
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if (i < len)
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{
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range[i] = j;
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i++;
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}
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else
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{
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range = increase(range, len);
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len += STEP;
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range[i] = j;
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i++;
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}
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count++;
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}
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j += 2;
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}
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if (n > 1)
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{
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if (i < len)
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{
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range[i] = n;
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i++;
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}
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else
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{
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range = increase(range, len);
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len += STEP;
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range[i] = n;
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i++;
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}
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count++;
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}
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pstr->range = range;
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pstr->length = count;
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return pstr;
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}
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void print_arr(Range pStr)
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{
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assert(pStr); /* checks whether pStr is a null-pointer */
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int i = 0;
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printf("\n");
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for (i; i < pStr->length; i++)
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{
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if (i == 0)
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printf("%d", pStr->range[0]);
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else
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printf("-%d", pStr->range[i]);
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}
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printf("\n");
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}
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int * increase(int * arr, int len)
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{
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assert(arr); /* checks whether arr is a null-pointer */
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int * tmp = (int*) realloc(arr, sizeof(int) * (len + STEP));
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assert(tmp);
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return tmp;
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// assert(arr);
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}
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void destroy(Range r)
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{
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free(r->range);
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free(r);
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}
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