Number of conjugate complex pairs - arrays

I need to write a function which fills array rez with the conjugate-complex pairs from the array bounded by p1 and p2. The function returns the number of conjugate-complex pairs placed in the array. Duplicates must not be placed in the sequence. Conjugate-complex pairs are pairs of forms a + bi and a - bi.
This task should be solved using structures and pointer arithmetic. Auxiliary arrays are not allowed.
#include <stdio.h>
typedef struct {
int im, re;
} complex;
void remove_duplicates(complex *rez, int *number){
int i,j,k;
for (i = 0; i < *number; i++) {
for (j = i + 1; j < *number; j++) {
if (rez[i].im == rez[j].im && rez[i].re == rez[j].re) {
for (k = j; k < *number - 1; k++) {
rez[k].im = rez[k + 1].im;
rez[k].re = rez[k + 1].re;
}
(*number)--;
j--;
}
}
}
}
int conjugate_complex(complex *p1, complex *p2, complex *rez) {
int number_of_pairs = 0;
while (p1 < p2) {
if (p1->im == p1->re||p1->im == -1*p1->re) {
number_of_pairs++;
rez->re = p1->re;
rez->im = -1*p1->im;
}
rez++;
p1++;
}
remove_duplicates(rez,&number_of_pairs);
return number_of_pairs;
}
int main() {
int i;
complex arr1[5] = {{5, 5}, {3, 3}, {-5, -5}, {5, 5}, {-3, 3}};
complex arr2[5];
int vel = conjugate_complex(arr1, arr1 + 5, arr2);
printf("%d\n", vel);
for (i=0; i<vel; i++)
printf("(%d,%d) ",arr2[i].im,arr2[i].re);
return 0;
}
OUTPUT should be:
4
(-5,5) (-3,3) (5,-5) (3,3)
My output is:
5
(-5,5) (-3,3) (5,-5) (-5,5) (3,3)
The problem with my code is that it prints duplicates.
Could you help me fix my remove_duplicates function?
If I call it in main function it would work. However, I need to call it in the function conjugate_complex.

To see why it would be nice to have some O(n) space, consider what you would do in real life with graph paper. Take each complex number and place a spot in the graph (re, abs(im)). In that way, any duplicates get merged into one. This solution is O(n). (Expected, the hash is O(n) size, so you have to throw out some information, which will lead to collisions.)
It would be better to not duplicate elements in the first place. Whether you are using a Bloom filter to get around the restriction of not having an array, O(n) hash, O(n log n) sort, or an O(n^2) approach (arguably the simplest,) it would be good to have this function, (in pseudo-code, <stdbool.h> is C99, use int, adornments aside):
boolean pair_is_equal(pair a, pair b)
Be aware that a pair is not semantically equivalent to a complex. You can use the same representation (which you've been using, and, considering the output format, the simplest,) but be aware that they represent different things. If you let a complex stand in for a pair:
boolean pair_is_equal(complex a, complex b)
then you have to also also check one of a or b's complex conjugate, (except Im[a] == 0 || Im[b] == 0.) It might also be useful care about 2's-compliment INT_MIN, which is out of the domain of abs and will not have a complement (how to test.)

Related

Check repeated numbers on a matrix in C

How can I use repetitions to check if there aren't any repeated numbers on a n x n matrix?
Using two for's two times wouldn't let me check anything that does not share at least a line or a column
Example: (in the most simplified way possible):
int matrix[n][n];
/*matrix is filled*/
int current, isEqual;
for (int i=0; i<n; i++)
{
for (int j=0; j<n; j++)
{
current = matrix[i][j];
if (current == matrix[i][j+1])
{
isEqual=1;
}
else
{
isEqual=0;
}
}
}
for (int j=0; j<n; j++)
{
for (int i=0; i<n; i++)
{
current = matrix[i][j];
if (current == matrix[i+1][j])
{
isEqual=1;
}
else
{
isEqual=0;
}
}
}
I can't check numbers that don't share lines or columns.
First, think in a NxM matrix as if it were an array with length [N*M]. The only difference is how you access the elements (two fors instead of one, for example).
Then, a simple algorithm would be to iterate every element (first index), and for each one, iterate every other element (second index) to check if it's the same. It's easier to do with an array; in a matrix it's the same, maybe a bit more verbose and complex. But the algorithm is the same.
As a second phase, after you have implemented the basic algorithm, you can improve its performance starting the second index in the element after the first index. This way, you avoid checking the already seen elements multiple times. This algorithm improvement is slightly harder to do in a matrix, if you iterate it with 2 fors, as it's a bit harder to know what's the "next index" (you have a "compound" index, {i,j}).
One simple way to do this is to insert each number into a data structure that makes it easy to check for duplicates. This is sort of fun to do in C, and although the following is certainly not super efficient or production ready, it's (IMO) a nice little toy:
/* Check if any integer on the input stream is a dup */
#include <stdio.h>
#include <stdlib.h>
struct node { int data; struct node *child[2]; };
static struct node *
new_node(int data)
{
struct node *e = calloc(1, sizeof *e);
if( e == NULL ){
perror("calloc");
exit(EXIT_FAILURE);
}
e->data = data;
return e;
}
/*
* Insert a value into the tree. Return 1 if already present.
* Note that this tree needs to be rebalanced. In a real
* project, we would use existing libraries. For this toy
* it is not worth the work needed to properly rebalance the
* tree.
*/
int
insert(struct node **table, int data)
{
struct node *t = *table;
if( !t ){
*table = new_node(data);
return 0;
}
if( data == t->data ){
return 1;
}
return insert(&t->child[data < t->data], data);
}
int
main(void)
{
int rv, v;
struct node *table = NULL;
while( (rv = scanf("%d", &v)) == 1 ){
if( insert(&table, v) ){
fprintf(stderr, "%d is duplicated\n", v);
return EXIT_FAILURE;
}
}
if( rv != EOF ){
fprintf(stderr, "Invalid input\n");
return EXIT_FAILURE;
}
return EXIT_SUCCESS;
}
The basic approach is to loop through the nxn matrix and keeping a list of the numbers in it along with a count of the number of times each number is found in the nxn matrix.
The following is example source code for a 50 x 50 matrix. To extend this to an n x n matrix is fairly straightforward and I leave that as an exercise for you. You may need to do something such as using malloc() to create an arbitrary sized matrix. There are posts on that sort of thing.
I also do not specify how the data is put into the matrix in the first place. That is also up to you.
This is to just show a brute force approach for determining if there are duplicates in the matrix.
I've also taken the liberty of assuming the matrix elements are int but changing the type to something else should be straightforward. If the matrix elements are something other than a simple data value type such as int, long, etc. then the function findAndCount() will need changing for the equality comparison.
Here are the data structures I'm using.
typedef struct {
int nLength; // number of list elements in use
struct {
int iNumber; // number from an element of the nxn matrix
int iCount; // number of times this element was found in the matrix
} list[50 * 50];
} elementList;
elementList matrixList = {
0,
{0, 0}
};
int matrixThing[50][50];
next we need to loop through the matrix and with each element in the matrix to check if it is in the list. If it's not then add it. It does exist then increment the count.
for (unsigned short i = 0; i < 50; i++) {
for (unsigned short j = 0; j < 50; j++) {
findAndCount (matrixThing[i][j], &matrixList);
}
}
And then we need to define our function we use to check matrix values against the list.
void findAndCount (int matrixElement, elementList *matrixList)
{
for (int i = 0; i < matrixList->nLength; i++) {
if (matrixElement == matrixList->list[i].iNumber) {
matrixList->list[i].iCount++;
return;
}
}
// value not found in the list so we add it and set the initial count
// to one.
// we can then determine if there are any duplicates by checking the
// resulting list once we have processed all matrix elements to see
// if any count is greater than one.
// the initial check will be to see if the value of nLength is equal
// to the number of array elements in the matrix, n time n.
// so a 50 x 50 matrix should result in an nLength of 2500 if each
// element is unique.
matrixList->list[matrixList->nLength].iNumber = matrixElement;
matrixList->list[matrixList->nLength].iCount = 1;
matrixList->nLength++;
return;
}
Search algorithms
The above function, findAndCheck(), is a brute force search algorithm that searches through an unsorted list element by element until either the thing being searched for is found or the end of the list is reached.
If the list is sorted then you can use a binary search algorithm which is much quicker than a linear search. However you then run into the overhead needed to keep the list sorted using a sorting algorithm in order to use a binary search.
If you change the data structure used to store the list of found values to a data structure that maintains values in an ordered sequence, you can also cut down on the overhead of searching though there will also be an overhead of inserting new values into the data structure.
One such data structure is a tree and there are several types and algorithms to build a tree by inserting new items as well as searching a tree. See search tree which describes several different kinds of trees and searches.
So there is a kind of balancing between the effort to do searching versus the effort to add items to the data structure.
Here is an example that checks for duplicate values, the way want to do it.
Looping is slow, and we should use a hash set or a tree instead of using loops.
I assume you are not using C++, because the C++ standard library has build-in algorithms and data structures to do it efficiently.
#include <stdio.h>
/* Search the 'array' with the specified 'size' for the value 'key'
starting from 'offset' and return 1 if the value is found, otherwise 0 */
int find(int key, int* array, int size, int offset) {
for (int x = offset; x < size; ++x)
if (key == array[x])
return 1;
return 0;
}
/* Print duplicate values in a matrix */
int main(int argc, char *argv[]) {
int matrix[3][3] = { 1, 2, 3, 4, 3, 6, 2, 8, 2 };
int size = sizeof(matrix) / sizeof(matrix[0][0]);
int *ptr = (int*)matrix;
for (int x = 0; x < size; ++x) {
/* If we already checked the number, then don't check it again */
if (find(ptr[x], ptr, x, 0))
continue;
/* Check if the number repeats and show it in the console if it does */
if (find(ptr[x], ptr, size, x + 1))
printf("%d\n", ptr[x]);
}
return 0;
}
When you become better at C, you should find or implement a "hash set" or a "red-black tree", and use that instead.

To speed up C-code random selection with further modification array

I'm trying to write some code in C-language. The main idea is that I have an input linear array that consists the readius for each pixel (`````` - something like that, moreover, the length of pix_r, for instance, for picture with size (128,512) will be 128 * 512). And I need for each radius random selected fixed numbers of pixels and other set to -1. What I mean:
r = 2 in pix_r = [1, 8, 2, 2, 4, 6, 7, 7, 8, 2, 8] is in the following positions currentR = [2, 3, 9], and let's NumberOfRandomS = 2, so one of the possible result can be pix_r = [*, *, 2, -1, *, *, *, *, *, 2, *]. and the same should be doe for each r. If number of items == r is less than NumberOfRandomS, we should pick up all elements without any modification.
I try to write this in C-code. But I am a newbie and don't know all features and tips for optimization. My first aprroach of writing this function is
#include <stdlib.h>
#include <stdio.h>
#include <time.h>
#include <math.h>
#include <ctype.h>
#include <stdarg.h>
#include <stdint.h>
#include <stddef.h>
#include <limits.h>
#include <string.h>
#include <ctype.h>
const int NumberOfRandomS = 5;
void RandomSelected(size_t numEl, int maxRad, int *pix_r){
srand(time(NULL));
int lenRandomIndex = NumberOfRandomS*sizeof(int);
int* RandomIndex = (int*) malloc(lenRandomIndex);
memset(RandomIndex, 0, lenRandomIndex);
int lenNumPerShell1 = (maxRad) * sizeof(int);
int* numPerShell1 = (int*) malloc(lenNumPerShell1);
memset(numPerShell1, 0, lenNumPerShell1);
//Calculate the number of each pix_r per shell
for (int i=0; i<numEl; ++i){
numPerShell1[pix_r[i]]++;
}
//Main part for random selection of NumberOfRandomS items
//for each pix_r
for(int r=0; r<maxRad; ++r){
int lenShellR = numPerShell1[r];
//if number of items for this r is less than should be
//selected, skip it. It means that we selected all items
//for this r
if(lenShellR <= NumberOfRandomS){
continue;
}
int lenCurrentR = lenShellR*sizeof(int);
int* currentR = (int *) malloc(lenCurrentR); // array of indexes for this r
memset(currentR, 0, lenCurrentR);
//filling currentR array with all indexes for this r
int cInd = 0;
for(register int j=0; j<numEl; ++j){
if(pix_r[j] == r){
currentR[cInd] = j;
cInd++;
}
}
//generate random indexes without repetiotion that should be selected from currentR
//this indexes help us to save r value in these positions and others indexes for this r
//set to -1
int value[NumberOfRandomS];
for (int i=0;i<NumberOfRandomS;++i)
{
int check; //variable to check or index is already used for this r
size_t pick_index; //variable to store the random index in
do
{
pick_index = rand() % lenShellR;
//check or index is already used for this r:
check=1;
for (int j=0;j<i;++j)
if (pick_index == value[j]) //if index is already used
{
check=0; //set check to false
break; //no need to check the other elements of value[]
}
} while (check == 0); //loop until new, unique index is found
value[i]=pick_index; //store the generated index in the array
RandomIndex[i] = currentR[pick_index];
}
//set all positions for each r that are not on random selected to -1
for(register int k=0; k < lenShellR; ++k)
{
int flag = 0; // flag will be 1 if this index for this r in RandomIndex
for (register int q = 0; q < NumberOfRandomS; ++q)
{
if(RandomIndex[q] == currentR[k])
{
flag = 1; //this index is found
}
}
if(flag != 1)
{
//index for this r not in RandomIndex, so set this index for this r to -1
pix_r[currentR[k]] = -1;
}
}
}
return;
}
I tried to optimize a little bit, but different resources contradict each other and after testing it didn't show any speeding up:
void ModRandomSelected(size_t numEl, int maxRad, int *pix_r){
srand(time(NULL));
int lenRandomIndex = NumberOfRandomS*sizeof(int);
int* RandomIndex = (int*) malloc(lenRandomIndex);
memset(RandomIndex, 0, lenRandomIndex);
int lenNumPerShell1 = (maxRad) * sizeof(int);
int* numPerShell1 = (int*) malloc(lenNumPerShell1);
memset(numPerShell1, 0, lenNumPerShell1);
//Calculate the number of each pix_r per shell
for (int i=numEl-1; i>=0; --i){
numPerShell1[pix_r[i]]++;
}
//Main part for random selection of NumberOfRandomS items
//for each pix_r
for(int r=maxRad-1; r>=0; --r)
{
int lenShellR = numPerShell1[r];
//if number of items for this r is less than should be
//selected, skip it. It means that we selected all items
//for this r
if(lenShellR <= NumberOfRandomS){
continue;
}
int lenCurrentR = lenShellR*sizeof(int);
int* currentR = (int *) malloc(lenCurrentR); // array of indexes for this r
memset(currentR, 0, lenCurrentR);
//filling currentR array with all indexes for this r
int cInd = 0;
for(register int i = numEl-1; i>=0; --i)
{
if(pix_r[i] == r){
currentR[cInd] = i;
cInd++;
}
}
//generate random indexes without repetiotion that should be selected from currentR
//this indexes help us to save r value in these positions and others indexes for this r
//set to -1
int value[NumberOfRandomS];
for (int i=NumberOfRandomS-1; i>=0; --i)
{
int check; //variable to check or index is already used for this r
size_t pick_index; //variable to store the random index in
do
{
pick_index = rand() % lenShellR;
//check or index is already used for this r:
check=1;
for (int j=0;j<i;++j)
if (pick_index == value[j]) //if index is already used
{
check=0; //set check to false
break; //no need to check the other elements of value[]
}
} while (check == 0); //loop until new, unique index is found
value[i]=pick_index; //store the generated index in the array
RandomIndex[i] = currentR[pick_index];
}
//set all positions for each r that are not on random selected to -1
for(register int k=lenShellR-1; k >= 0; --k)
{
int flag = 0; // flag will be 1 if this index for this r in RandomIndex
for (register int q = NumberOfRandomS-1; q >= 0; --q)
{
if(RandomIndex[q]== currentR[k]){
flag = 1; //this index is found
}
}
if(flag != 1)
{
//index for this r not in RandomIndex, so set this index for this r to -1
pix_r[currentR[k]] = -1;
}
}
}
return;
}
I will be very thankful if you help and explain what and how I can improve this function.
The code is rather messy and hard to follow, so I can't be bothered to figure out what it actually does. The algorithm overall might be the true bottleneck. Anyway, here's some misc comments & advise of potential problems that I spotted:
Ensure to only call srand once in the whole program.
The register keyword is obsolete, from a time when compilers were bad at determining when to place variables in registers. Nowadays, compilers are more competent at this than programmers, don't use register, it is bloat.
Similarly, replacing up-counting loops with down-counting ones for the sake of performance is an obsolete technique nowadays sorting under "pre-mature optimization". The compiler can do that optimization for you - so write the code as readable as possible instead.
Avoid iterating over the same range/array multiple times.
Keep loop conditions as trivial as possible. This helps readability and data cache optimization both. The ideal for loop should look like for(int i=0; i<n; i++).
malloc is much slower than static or local storage. In this case you have a few items and only need to access them locally, so all malloc calls should be swapped with local arrays. You may use VLA here, to get stack allocation instead. That is, drop this code:
int lenRandomIndex = NumberOfRandomS;
int* RandomIndex = (int*) malloc(lenRandomIndex);
memset(RandomIndex, 0, lenRandomIndex);
and replace with this code:
int RandomIndex [NumberOfRandomS];
You have similar situations all over the code. And you probably don't need to set it to zero, because:
Don't zero-initialize or memset arrays that you indeed to fill with data the first thing you do anyway. This is a rather big performance problem in the posted code.
Empty return ; at the end of a function returning void is just clutter.
Investigate if some of these searches could be replaced with binary search. It means sorting the data in advance but might lead to much faster code overall.
Minimize the amount of checks, particularly inside loops.
Split up your big monster functions into several. Local static functions are very certain to get inlined and they improve readability a lot. Splitting functions into several smaller also allows much easier benchmarking.
Please benchmark your code when optimizations are enabled.

Shuffle an array of strings randomly

I am writing a program that reads a text file as an input and randomly shuffles the array of strings for the user.
I have written a program that shuffles the string array randomly but I want to do it in a way that no two elements that are the same are beside each other.
Here's an example:
The original array would look like this
{1,2,3,4,5,1,2}
The shuffled array would look like this
{5,3,1,2,4,2,1}
But currently my program creates an output array of this
{5,1,1,3,2,4,2}
Here is my code that shuffles the elements randomly:
int i;
char s[11][100];
char line[100], t[100];
/*Open the text file*/
FILE *fp;
fp = fopen("players.txt", "r");
/*Read each line and put it into an element in an array.
Each line will be in a seperate element in the array.*/
i=0;
while(fgets(line, 100, fp)!= NULL){
strcpy(s[i], line);
i++;
}
/*Generates a random number stored in j and shuffles the order of the array randomly*/
for(i=1; i<10; i++){
j = rand()%(i+1);
strcpy(t, s[j]);
strcpy(s[j], s[i]);
strcpy(s[i], t);
}
As far as I know, there is no better solution than repeatedly running the Fisher-Yates shuffle until you find an arrangement without adjacent duplicates. (That's usually called a rejection strategy.)
The amount of time this will take depends on the probability that a random shuffle has adjacent duplicates, which will be low if there are few duplicates and could be as much as 1.0 if more than half of the set is the same majority element. Since the rejection strategy never terminates if there is no possible qualifying arrangement, it could be worth the trouble to verify that a solution is possible, which means that there is no majority element. There's an O(n) algorithm for that, if necessary, but given the precise details you provided, it shouldn't be necessary (yet).
You can reject immediately rather than continuing to the end of the shuffle, which significantly cuts down on the cost of running the algorithm. So just use your shuffle algorithm, but restart the counter if you place an element beside one of its twins.
By the way, using strcpy to move elements around is really inefficient. Just shuffle the pointers.
Here's some code adapted from this answer. I've assumed that the duplicates are exact, for simplicity; perhaps you have some other way of telling (like looking only at the first word):
void shuffle(const char* names[], size_t n) {
for (size_t i = 0; i < n;) {
size_t j = i + rand() % (n - i);
/* Reject this shuffle if the element we're about to place
* is the same as the previous one
*/
if (i > 0 && strcmp(names[j], names[i-1]) == 0)
i = 0;
else {
/* Otherwise, place element i and move to the next one*/
const char* t = names[i];
names[i] = s[j];
names[j] = t;
++i;
}
}
}
For your use case, where you have 10 objects with frequencies 3, 3, 2, and 2, there are 605,376 valid arrangements, out 3,628,800 (10!) total arrangements, so about five of every six shuffles will be rejected before you find a valid arrangement, on average. However, the early termination means that you will do less than six times as much work as a single shuffle; empirical results indicate that it takes about 33 swaps to produce a valid shuffle of 10 objects with the above frequencies.
Note: rand()%k is not a very good way to generate a uniform distribution of integers from 0 to k-1. You'll find lots of advice about that on this site.
import java.util.Random;
import java.util.Arrays;
public class ShuffleRand
{
static void randomize( int arr[], int n)
{
Random r = new Random();
for (int i = n-1; i > 0; i--) {
int j = r.nextInt(i+1);
int temp = arr[i];
arr[i] = arr[j];
arr[j] = temp;
}
System.out.println(Arrays.toString(arr));
}
public static void main(String[] args)
{
int[] arr = {1, 2, 3, 4, 5, 6, 7, 8};
int n = arr.length;
randomize (arr, n);
}
}
This function will shuffle array of strings randomly:
void shuffle(char *arr[], int size)
{
srand(time(NULL));
for (int i = 0; i < size; i++)
{
int b = rand() % size;
int a = rand() % size;
char *tmp = arr[a];
arr[a] = arr[b];
arr[b] = tmp;
}
}

Refactoring Dynamic Approach for Optimal Binary Search Tree

I am very new to the concept of Dynamic Programing and CS in general. I am teaching myself by reading lectures posted online, watching videos and solving problems posted on websites such as GeeksforGeeks and Hacker Rank.
Problem
Given input
3 25 30 5
where 3 = #of keys
25 = frequency of key 1
30 = frequency of key 2
5 = frequency of key 3
I am to print the minimum cost if each key is arranged in a optimized manner. This is a optimal binary search tree problem and I found a solution on geeks for geeks that sort of does something similar.
#include <stdio.h>
#include <limits.h>
// A utility function to get sum of array elements freq[i] to freq[j]
int sum(int freq[], int i, int j);
/* A Dynamic Programming based function that calculates minimum cost of
a Binary Search Tree. */
int optimalSearchTree(int keys[], int freq[], int n)
{
/* Create an auxiliary 2D matrix to store results of subproblems */
int cost[n][n];
/* cost[i][j] = Optimal cost of binary search tree that can be
formed from keys[i] to keys[j].
cost[0][n-1] will store the resultant cost */
// For a single key, cost is equal to frequency of the key
for (int i = 0; i < n; i++)
cost[i][i] = freq[i];
// Now we need to consider chains of length 2, 3, ... .
// L is chain length.
for (int L=2; L<=n; L++)
{
// i is row number in cost[][]
for (int i=0; i<=n-L+1; i++)
{
// Get column number j from row number i and chain length L
int j = i+L-1;
cost[i][j] = INT_MAX;
// Try making all keys in interval keys[i..j] as root
for (int r=i; r<=j; r++)
{
// c = cost when keys[r] becomes root of this subtree
int c = ((r > i)? cost[i][r-1]:0) +
((r < j)? cost[r+1][j]:0) +
sum(freq, i, j);
if (c < cost[i][j])
cost[i][j] = c;
}
}
}
return cost[0][n-1];
}
// A utility function to get sum of array elements freq[i] to freq[j]
int sum(int freq[], int i, int j)
{
int s = 0;
for (int k = i; k <=j; k++)
s += freq[k];
return s;
}
// Driver program to test above functions
int main()
{
int keys[] = {0,1,2};
int freq[] = {34, 8, 50};
int n = sizeof(keys)/sizeof(keys[0]);
printf("Cost of Optimal BST is %d ", optimalSearchTree(keys, freq, n));
return 0;
}
However in this solution they are also taking input of the "keys", but it seems they have no impact on the final answer, as they shouldn't. Only the frequency of how many time each key is searched for matters.
For simplicity sake and understanding this dynamic approach, I was wondering how can I possibly modify this solution so that it takes its input in the format shown above and prints the result.
The function you presented does have a keys parameter, but it does not use it. You could remove it altogether.
Edit: in particular, since function optimalSearchTree() does not use its keys parameter at all, removing that argument requires changing only the function signature (...
int optimalSearchTree(int freq[], int n)
...) and the one call of that function. Since you don't need the keys for this particular exercise, though, you can altogether remove them from the main program, too, to give you:
int main()
{
int freq[] = {25, 30, 5};
int n = sizeof(freq)/sizeof(freq[0]);
printf("Cost of Optimal BST is %d ", optimalSearchTree(freq, n));
return 0;
}
(substituting the frequency values you specified for the ones in the original code)
The function does, however, assume that the frequencies are given in order of increasing key. It needs at least the relative key order to do its job, because otherwise you cannot construct a search tree. If you were uncomfortable with the idea that the key values are unknown, you could interpret the code to be using indices into the freq[] array as aliases for the key values. That works because a consequence of the assumption described above is that x -> keys[x] is a 1:1, order-preserving mapping from integers 0 ... n - 1 to whatever the actual keys are.
If the function could not assume the frequencies were initially given in increasing order by key, then it could first use the keys to sort the frequencies into that order, and then proceed as it does now.

Comparing two arrays in C, element by element

I have been cracking my head at achieving something very simple in C in order to make my one of the programs (not written by me) in our computational physics project more dynamic:
comparing two different arrays element by element in an if conditional.
#include <math.h>
#include <stdio.h>
#include "header.h"
const int nParam = 10;
double a[nParam], a_tmp[nParam];
double values[10000];
double FitParam(double x){
int xindex;
double value;
xindex=(int) x;
if (a_tmp[1]==a[1] && a_tmp[2]==a[2] && a_tmp[3]==a[3] && a_tmp[4]==a[4]){
value=values[xindex];
return(value);
}
// code continues... (very long subroutine and there is recursion for
// the subroutine so this if statement above is very important).
The array a[ ] has a varying number of significant elements every time we run our program; for example, right now, we are using this subroutine for only elements [1] through [4]. However, in other cases, we will want to have fewer or more elements, say, up to 3 elements or up to 5 elements, respectively.
So essentially, I want to be able to rewrite the if statement above so that it is dynamic... in other words, if there are N elements considered, then it will do:
if (a_tmp[1]==a[1] && ... && a_tmp[N]==a[N]){}
So this if conditional should vary whenever our number N of elements of interest is changed (N is defined as a #define in the header of this file, which I just named header.h).
I would greatly appreciate your support on this task. Thank you.
Your best bet is to rewrite it as a function that returns true or false (1 or 0):
int compareArrays(double a[], double b[], int n) {
int ii;
for(ii = 1; ii <= n; ii++) {
if (a[ii] != b[ii]) return 0;
// better:
// if(fabs(a[ii]-b[ii]) < 1e-10 * (fabs(a[ii]) + fabs(b[ii]))) {
// with the appropriate tolerance
}
return 1;
}
Note that it is usually bad practice to compare doubles for equality - you are better off comparing their difference, and making sure the absolute value is less than some tolerance.
Also note you are comparing elements 1 through n - C arrays start at 0 though.
You would use the above with
if (compareArrays(a, a_tmp, N)) {
where the value N is #define'd per your question.
If you want to be "clever" and avoid a loop, you can write the following - it will stop ("short-circuiting") as soon as you reach the right number of comparisons. It is still a Bad Idea to compare doubles for equality but I will leave that for another time (see comment in code above for a solution).
if(a[1]==a_temp[1] && (2 > N || (a[2]==a_temp[2] && (3 > N || (a[3]==a_temp[3]))))) {
This makes the "and the rest" true as soon as you have compared the right number of terms - so it will stop evaluating terms (as you need). I am not convinced this is either faster, or better code - but it is "dynamic"... You can obviously make this expression as long as you would like; I just wrote the first three terms so you get the idea. I DO NOT RECOMMEND IT.
As for the comparison of doubles, you might consider replacing
if(a == b)
with
if(closeEnough(a, b))
where you define the macro
#define closeEnough(a, b) (fabs((a)-(b)) < 1e-10 * (fabs(a) + fabs(b)))? 1 : 0
This will make sure that your doubles don't have to be "exactly equal" - depending on how you arrived at them, they will almost never be, and the relative tolerance of 1 part in 10^10 is usually plenty for most practical comparisons.
If it must be at compile time, there is nothing in the standard that provides for a repeating macro like that. As in another (question), for bounded N, you can prepare N macros that expand to your desired comparison.
While yet another alternative is memcmp
memcmp( data, data2, array_len_in_bytes );
reference
An implementation might be to loop over all the elements and set a flag when a difference is detected
int i, N;
int is_equal = 1;
for (i=1; i<N; ++i) {
if (a[i] != a_tmp[i]) {
is_equal = 0;
break;
}
}
if (is_equal)
printf("Arrays are equal");
A simple implementation is a linear comparison between both arrays, it just iterate over the array length and check if (a[i] != b[i]), if so return false & break out of the iteration.
See the example below:
#include <stdio.h>
int compareArrays(int a[], int b[], int n)
{
for (int i=0; i<n; ++i)
{
if (a[i] != b[i])
{
return -1;
}
}
return 0;
}
int main()
{
int arr1[4] = {3, 4, 5, 7};
int arr2[4] = {3, 4, 5, 7};
int arr3[4] = {1, 5, 3, 7};
int arr4[4] = {3, 4, 5, 19};
printf("Should be True %d\n", compareArrays(arr1, arr2, 4));
printf("Should be False %d\n", compareArrays(arr3, arr4, 4));
return 0;
}
You should get:
Should be True 0
Should be False -1
Run it online this example: https://repl.it/#abranhe/compare-arrays-in-c
This one, lets you compare two arrays of any type and will return the index of the first unequal elements found. If the arrays are identical the returned value will be the number of elements in the array.
int compareArrays(void* arrayA, void* arrayB, uint numElements, uint elementSizeBytes) {
//returns -1 on error, numElememts if the arrays are equal or the index
//of the first unequal elements
uint i;
uint8_t* byteArrayA;
uint8_t* byteArrayB;
if(elementSizeBytes < 1) {
return -1;
}
if(numElements < 1) {
return -1;
}
byteArrayA = (uint8_t*) arrayA;
byteArrayB = (uint8_t*) arrayB;
for(i = 0; i < (numElements*elementSizeBytes); i++) {
if(byteArrayA[i] != byteArrayB[i]) {
break;
}
}
return i / elementSizeBytes;
}
An example call:
uint16_t test1[6] = {12, 15, 24, 86, 92, 15};
uint16_t test2[6] = {12, 15, 24, 86, 93, 15};
int retVal = compareArrays(test1, test2, 6, 2);
Today i came across same kind of problem statement,i googled for solution for an hour and end up with no solution,the above all approaches are not correct solutions for the stated problem
The Better way to resolve above Problem is
Sort the two arrays either in ascending or descending order, Then compare both the arrays.
#include<stdio.h>
void sort_it(int a[], int size)
{
int i,j,temp=0;
for(i=0;i<size;++i)
{
for(j=i+1;j<size;++j)
{
if(a[i]>a[j])
{
temp=a[i];
a[i]=a[j];
a[j]=temp;
}
}
}
};
int compare(int size,int a[],int b[])
{
int i,j,is_equal;
for(i=0;i<size;i++)
{
for(j=0;j<size;j++)`enter code here`
{
if(a[i]!=b[j])
{
is_equal=0;
}
else
is_equal=1;
}
}
return is_equal;
};
int main()
{
int size=4,i,is_equal;
int a[]={1,2,5,4};
int b[]={1,7,4,2};
sort_it(a,size);
sort_it(b,size);
is_equal=compare(4,a,b);
if(is_equal)
printf("arrays are equal\n");
else
printf("arrays are not equal\n");
return (0);
}

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