Recursion to calculate sequence - c

Suppose that the first integer is x. Then we define a[0]=x, the next elements of sequence are calculated as:
a[n+1]=a[n]/2 if a[n] is even, and
a[n+1]=a[n]*3+1 if a[n] is odd.
The sequence continues till it reach value 1, then stop.
It looks like this 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1
This is my code (not using the recursion). The proplem is that it keeps printing output=1 all the times. I have checked it but I don't know where I was wrong.
Another question is, which datatype is the best to declare for variable x and array a[] (to minimize to the least capacity ? And how can we do this with recursion ?
int main(void)
{
float a[100];
int i=0;
float x;
printf("Enter the value of x: ");
scanf("%f",&x);
a[0]=x;
printf("\n%f\n",a[0]);
do{
if (fmod(a[i],2)==0){
a[i+1]=a[i]/2;}
else{
a[i+1]=a[i]*3+1;
}
i++;
} while (a[i]!=1);
printf("The ouput value is:\n");
for (int j=0;j<i;j++){
printf("%2.2f\t",a[i]);
}
getch();
return 0;
}

The proplem is that it keeps printing output=1 all the times
Of course, since you always output the number after the last one in the array (your program even has undefined behavior).
Another question is, which datatype is the best to declare for variable x and array a[] (to minimize to the least capacity ?
Both could be an unsigned long long, you don't even need an array.
char buf[0x100];
fgets(buf, sizeof(buf), stdin);
unsigned long long n = strtoull(buf, NULL, 10);
while (n > 1) {
printf("%ull\n", n);
n = n % 2 ? 3 * n + 1 : n / 2;
}

You just do all the calculation in a single while loop with recursive way... replace this part of your code...
printf("\n%f\n",a[0]);
do{
if (fmod(a[i],2)==0){
a[i+1]=a[i]/2;}
else{
a[i+1]=a[i]*3+1;
}
i++;
} while (a[i]!=1);
printf("The ouput value is:\n");
for (int j=0;j<i;j++){
printf("%2.2f\t",a[i]);
}
replace it with something like that....
while(a[i] > 1){
printf("\n%f\n",a[i]);
if(fmod(a[i],2)==0){
a[i+1]=a[i]/2;
}else{
a[i+1]=a[i]*3+1;
}
i++;
}
I didn't test it but the main idea of recursion for this problem should be something like that if you do not want to use any external function for the calculation.
This recursive way also fixed the always printing 1 problem. As i see you already got your answer about printing 1 all the time in your code. You can use a long int instead of a floating point array. I think this ia a good idea. Then you have to change the code by replacing the array a[i] and a[i+1] to a int variable.
Sorry for my bad english. English is not my native language.
Thanks.

One part of your problem,
The proplem is that it keeps printing output=1 all the times
printf("The ouput value is:\n");
for (int j=0;j<i;j++){
printf("%2.2f\t",a[i]); //<--- use a[j] to print instead of a[i]
}

The reason it always prints 1 is you used the wrong variable in your for loop
for (int j=0;j<i;j++){
printf("%2.2f\t",a[i]);
}
You should access a[j] not a[i]. i is constant in the loop. You should change it to
for (int j=0;j<i;j++){
printf("%2.2f\t",a[j]);
}

Related

int variable changes to 1 after 'while' loop

I was trying to make a 'decimal to binary' program. It should convert from 0 to 255 only and it does.
I have two variables, 'n' and 'temp', when the user first enters the number I store it on 'n'. Then I assign 'n' to 'temp' (thus creating a copy, at least that's what I think I'm doing).
then I only use 'temp' in my code. I never use 'n', not until the end where I decide to print the number the user entered. And here comes the problem, if I enter a number greater than 255, the variable 'n' changes to 1.
I tried running my code through a couple C online compilers and all of them output the variable 'n' the right way, meaning that despite the binary not working when the numbers is greater than 255 (as intended) they print the entered value.
I found one online compiler where it doesn't print the 'n' variable if its greater than 255.
https://www.tutorialspoint.com/compile_c_online.php
If you run my code through this compiler, you'll see how the variable 'n' changes to 1 without it being used.
I know the 'binary part' won't work if you use a number greater than 255. I want to know why 'n' changes out of nowhere.
#include <stdio.h>
int main()
{
int bin[8] = {0, 0, 0, 0, 0, 0, 0, 0};
int arrSize = 7;
int n;
int temp;
scanf("%d", &n);
temp = n;
while(temp != 0)
{
bin[arrSize] = temp % 2;
temp = temp / 2;
arrSize = arrSize - 1;
}
printf(" Decimal: %d ----> binary: ", n);
for(int i = 0; i <= 7; i++)
{
printf("%d", bin[i]);
}
printf("\n");
return 0;
}
You've run through a "Buffer overflow".
A quick definition for that:
A buffer overflow occurs when a program or process attempts to write
more data to a fixed length block of memory, or buffer, than the
buffer is allocated to hold. Since buffers are created to contain a
defined amount of data, the extra data can overwrite data values in
memory addresses adjacent to the destination buffer unless the program
includes sufficient bounds checking to flag or discard data when too
much is sent to a memory buffer.
The error in your code remains in this while loop:
while(temp != 0){
//I added this line to make it clear
printf("inside loop\tarrSize=%d\n",arrSize);
bin[arrSize] = temp % 2;
temp = temp / 2;
arrSize = arrSize - 1;
}
For an input equals to 300 (The error will occur for each input > 255) you'll have this output:
inside loop arrSize=7
inside loop arrSize=6
inside loop arrSize=5
inside loop arrSize=4
inside loop arrSize=3
inside loop arrSize=2
inside loop arrSize=1
inside loop arrSize=0
inside loop arrSize=-1
inside loop arrSize=0
The problem is that we have an index equals to -1, You'll ask what will happen ? well in fact arrays are pointers to the address of the first element of the table + the offset (index * size of the type of the table) which means that for bin[-1] it is in fact arrSize, and bin[-2] is in fact n.
You can check this by verifying the addresses as it follows:
printf("# of bin[-1]:\t%p\n",(void*)&bin[-1]);
printf("# of arrSize:\t%p\n\n",(void*)&arrSize);
printf("# of bin[-2]:\t%p\n",(void*)&bin[-2]);
printf("# of n:\t\t\t%p\n",(void*)&n);
which with my compiler gave me:
# of bin[-1]: 0x7ffe00e32f9c
# of arrSize: 0x7ffe00e32f9c
# of bin[-2]: 0x7ffe00e32f98
# of n: 0x7ffe00e32f98
So you changes without knowing bin[-1] (or bin[-2] according to the value of n) which is in fact arrSize (or n)..
How you can fix this ? I advice you to verify the index every time you want to loop over an array (the condition of the loop must be in function of arrSize). Or you can if you want for this specific exemple to ignore that and focus on the logic: verify the input (in your case the input n must be: 0 <= n <= 255)
void *ieee2b(double value,char size,void *res){
char
*p0=res,
*p=p0;
vbreplacec(vbsprintf(p,"%*.*s",size,size," "),' ','0',p);
if((long)value!=value)
while(1){
double
tmp=value*2;
*p++='0'+(long)tmp;
if(tmp==1||tmp==0||p-p0>size)
break;
value=tmp-(long)tmp;
}
else{
p=p0+size-1;
while((long)value>1){
*p--='0'+((long)value%2);
value=(long)value/2;
}
*p--='0'+((long)value);
}
return res;
}

Trying to make a function which squares all values in an array. Getting strange number on the last value

int squaring_function (int *array, int i);
int main()
{
int array[5];
int i;
for(i=0; (i <= 5) ; i++)
{
array[i] = i;
printf("\nArray value %d is %d",i,array[i]);
}
for(i=0; (i <= 5) ; i++)
{
array[i] = (squaring_function(array, i));
printf("\nSquared array value %d is %d",i,array[i]);
}
return 0;
}
int squaring_function (int *array, int i)
{
return pow((array[i]),2);
}
I'm trying to use this squaring_function to square each value in turn in my array (containing integers 0 to 5). It seems to work however the last value (which should be 5)^2 is not coming up as 25. cmd window
I have tried reducing the array size to 5 (so the last value is 4) however this prints an incorrect number also.
I'm quite new to C and don't understand why this last value is failing.
I'm aware I could do this without a separate function however I'd quite like to learn why this isn't working.
Any help would be much appreciated.
Thanks,
Dan.
There are 2 bugs in your code. First is that you're accessing array out of bounds. The memory rule is that with n elements the indices must be smaller than n, hence < 5, not <= 5. And if you want to count up to 5, then you must declare
int array[6];
The other problem is that your code calculates pow(5, 2) as 24.99999999 which gets truncated to 24. The number 24 went to the memory location immediately after array overwriting i; which then lead to array[i] evaluating to array[24] which happened to be all zeroes.
Use array[i] * array[i] instead of pow to ensure that the calculation is done with integers.
The code
int array[5];
for(int i=0; (i <= 5) ; i++)
exceeds array bounds and introduces undefined behaviour. Note that 0..5 are actually 6 values, not 5. If you though see some "meaningful" output, well - good or bad luck - it's just the result of undefined behaviour, which can be everything (including sometimes meaningful values).
Your array isn't big enough to hold all the values.
An array of size 5 has indexes from 0 - 4. So array[5] is off the end of the array. Reading or writing past the end of an array invokes undefined behavior.
Increase the size of the array to 6 to fit the values you want.
int array[6];
The other answers show the flaws in the posted code.
If your goal is to square each element of an array, you can either write a function which square a value
void square(int *x)
{
*x *= *x;
}
and apply it to every element of an array or write a function which takes an entire array as an input and perform that transformation:
void square_array(int size, int arr[size])
{
for (int i = 0; i < size; ++i)
{
arr[i] *= arr[i];
}
}
// ... where given an array like
int nums[5] = {1, 2, 3, 4, 5};
// you can call it like this
square_array(5, nums); // -> {1, 4, 9, 16, 25}

How to add the first number and last number of a series of number in C?

I am a beginner to C language and also computer programming. I have been trying to solve small problems to build up my skills. Recently, I am trying to solve a problem that says to take input that will decide the number of series it will have, and add the first and last number of a series. My code is not working and I have tried for hours. Can anyone help me solve it?
Here is what I have tried so far.
#include<stdio.h>
int main()
{
int a[4];
int x, y, z, num;
scanf("%d", &num);
for (x = 1; x <= num; x++) {
scanf("%d", &a[x]);
int add = a[0] + a[4];
printf("%d\n", a[x]);
}
return 0;
}
From from your description it seems clear that you should not care for the numbers in between the first and the last.
Since you want to only add the first and the last you should start by saving the first once you get it from input and then wait for the last number. This means that you don't need an array to save the rest of the numbers since you are not going to use them anyway.
We can make this work even without knowing the length of the series but since it is provided we are going to use it.
#include<stdio.h>
int main()
{
int first, last, num, x = 0;
scanf("%d", &num);
scanf("%d", &first);
last = first; //for the case of num=1
for (x = 1; x < num; x++) {
scanf("%d", &last);
}
int add = first + last;
printf("%d\n", add);
return 0;
}
What happens here is that after we read the value from num we immediately scan for the first number. Afterwards, we scan from the remaining num-1 numbers (notice how the for loop runs from 1 to num-1).
In each iteration we overwrite the "last" number we read and when the for loop finishes that last one in the series will actually be the last we read.
So with this input:
4 1 5 5 1
we get output:
2
Some notes: Notice how I have added a last = first after reading the first number. This is because in the case that num is 1 the for loop will never iterate (and even if it did there wouldn't be anything to read). For this reason, in the case that num is 1 it is reasonably assumed that the first number is also the last.
Also, I noticed some misconceptions on your code:
Remember that arrays in C start at 0 and not 1. So an array declared a[4] has positions a[0], a[1], a[2] and a[3]. Accessing a[4], if it works, will result in undefined behavior (eg. adding a number not in the input).
Worth noting (as pointed in a comment), is the fact that you declare your array for size 4 from the start, so you'll end up pretending the input is 4 numbers regardless of what it actually is. This would make sense only if you already knew the input size would be 4. Since you don't, you should declare it after you read the size.
Moreover, some you tried to add the result inside the for loop. That means you tried to add a[0]+a[3] to your result 4 times, 3 before you read a[3] and one after you read it. The correct way here is of course to try the addition after completing the input for loop (as has been pointed out in the comments).
I kinda get what you mean, and here is my atttempt at doing the task, according to the requirement. Hope this helps:
#include <stdio.h>
#include <stdlib.h>
int main()
{
int first, last, num, x=0;
int add=0;
printf("What is the num value?\n");//num value asked (basically the
index value)
scanf("%d", &num);//value for num is stored
printf("What is the first number?\n");
scanf("%d", &first);
if (num==1)
{
last=first;
}
else
{
for (x=1;x<num;x++)
{
printf("Enter number %d in the sequence:\n", x);
scanf("%d", &last);
}
add=(first+last);
printf("Sum of numbers equals:%d\n", add);
}
return 0;
}

I cant write this factorial codes

I have some problem with that. I am trying to learn C programming. Please help me
#include<stdio.h>
int main()
{
int a, factorial;
printf("Please enter a value :" );
scanf("%d", &a);
for (int i = 1; i<=a; i++)
{
a = (a - 1)*a;
}
printf("%d", factorial);
return 0;
}
Well in your code line a = (a - 1)*a; you actually changed your input for getting the factorial. It also will blow your loop. See your for loop will continue as long as your i is less than a, lets say you choose a=3 after first iteration the a itself will become 6, so the for loop will continue until it reach the integer limit and you will get overflow error.
What you should do?
First of all you should use a second variable to store the factorial result, you introduced it as factorial, the way that #danielku97 said is a good way to write a factorial since if you present 0 as input it will also give the correct result of 1. so a good code is:
factorial = 1;
for (int i = 1; i<=a; i++)
{
factorial *= i;
}
But lets say you insist of subtraction, the way you just tried to use, then you need to change the code like:
scanf("%d", &a);
if (a==1 || a==0){
printf("1");
return 0;
}
factorial = a;
for (int i = 1; i<a; i++)
{
factorial *= (a - i)*factorial;
}
You can see that the code just got unnecessarily longer. An if included to correct the results for 1 and 0. Also you need to make sure that i never become like i =a since in that case a-i will be equal to zero and will make the factorial result equal to zero.
I hope the explanations can help you on learning C and Algorithm faster.
Your for loop is using your variable 'a' instead of the factorial variable and i, try something like this
factorial = 1;
for (int i = 1; i<=a; i++)
{
factorial *= i;
}
You must initialize your factorial to 1, and then the for loop will keep multiplying it by 'i' until 'i' is greater than 'a'.
You are modifying the input a rather than factorial and also wrong (undefined behaviour) because you are using factorial uninitialized. You simply need to use the factorial variable you declared.
int factorial = 1;
...
for (int i = 1; i<=a; i++) {
factorial = i*factorial;
}
EDIT:
Also, be aware that C's int can only hold limited values. So, beyond a certain number (roughly after 13! if sizeof(int) is 4 bytes), you'll cause integer overflow.
You may want to look at GNU bugnum library for handling large factorial values.

How can I convert a long long into an array in C?

I would like to convert an integer into an array. My goal is to be able to take a long long, for example 123456789..., and make an array in which each digit holds one spot, like this {1, 2, 3, 4, 5, 6, 7, 8, 9, ...}.
I can't use iota() because I am not allowed to, and I don't want to use snprintf because I don't want to print the array. I just want to make it.
After thinking about it for awhile, the only solution I thought of was to
Create a loop to divide the number by ten for each digit, leaving the quotient as an int
Let the decimals of the quotient go away via the restrictions of the int data type
Make a for loop to decrement the number until it becomes divisible by ten, all while incrementing a counter i
Let the i effectively become the digit and pass it into the array
But I feel like I am making this extremely overcomplicated, and there must be a simpler way to do this. So, have I answered my own question or is there and easier way?
This is an iterative approach for your problem which I guess works perfectly
The code below is commented ! Hope it helps
#include <stdio.h>
int main()
{
// a will hold the number
int a=548763,i=0;
// str will hold the result which is the array
char str[20]= "";
// first we need to see the length of the number a
int b=a;
while(b>=10)
{
b=b/10;
i++;
}
// the length of the number a will be stored in variable i
// we set the end of the string str as we know the length needed
str[i+1]='\0';
// the while loop below will store the digit from the end of str to the
// the beginning
while(i>=0)
{
str[i]=a%10+48;
a=a/10;
i--;
}
// only for test
printf("the value of str is \"%s\"",str);
return 0;
}
if you want the array to store only ints you need only to change the type of the array str and change
str[i]=a%10+48;
to
str[i]=a%10;
You can use only 1 loop :
#include <math.h>
int main() {
int number = 123456789;
int digit = floor(log10(number)) + 1;
printf("%d\n", digit);
int arr[digit];
int i;
for (i = digit; i > 0; i--) {
arr[digit-i] = (int)(number/pow(10,i-1)) % 10;
printf("%d : %d\n", digit-i, arr[digit-i]);
}
}

Resources