#include <stdio.h>
void main(void)
{
int a;
int result;
int sum = 0;
printf("Enter a number: ");
scanf("%d", &a);
for( int i = 1; i <= 4; i++ )
{
result = a ^ i;
sum += result;
}
printf("%d\n", sum);
}
Why is ^ not working as the power operator?
Well, first off, the ^ operator in C/C++ is the bit-wise XOR. It has nothing to do with powers.
Now, regarding your problem with using the pow() function, some googling shows that casting one of the arguments to double helps:
result = (int) pow((double) a,i);
Note that I also cast the result to int as all pow() overloads return double, not int. I don't have a MS compiler available so I couldn't check the code above, though.
Since C99, there are also float and long double functions called powf and powl respectively, if that is of any help.
In C ^ is the bitwise XOR:
0101 ^ 1100 = 1001 // in binary
There's no operator for power, you'll need to use pow function from math.h (or some other similar function):
result = pow( a, i );
pow() doesn't work with int, hence the error "error C2668:'pow': ambiguous call to overloaded function"
http://www.cplusplus.com/reference/clibrary/cmath/pow/
Write your own power function for ints:
int power(int base, int exp)
{
int result = 1;
while(exp) { result *= base; exp--; }
return result;
}
First of all ^ is a Bitwise XOR operator not power operator.
You can use other things to find power of any number. You can use for loop to find power of any number
Here is a program to find x^y i.e. xy
double i, x, y, pow;
x = 2;
y = 5;
pow = 1;
for(i=1; i<=y; i++)
{
pow = pow * x;
}
printf("2^5 = %lf", pow);
You can also simply use pow() function to find power of any number
double power, x, y;
x = 2;
y = 5;
power = pow(x, y); /* include math.h header file */
printf("2^5 = %lf", power);
include math.h and compile with gcc test.c -lm
It's not working because c as well as c++ do not have any operators to perform power operations.
What you can do is, you can use math.h library and use pow function. There is a Function for this instead of the operator.
` #include<stdio.h>
#include<math.h>
int main(){
int base = 3;
int power = 5;
pow(double(base), double(power));
return 0;
}`
You actually have to use pow(number, power);. Unfortunately, carats don't work as a power sign in C. Many times, if you find yourself not being able to do something from another language, its because there is a diffetent function that does it for you.
There is no way to use the ^ (Bitwise XOR) operator to calculate the power of a number.
Therefore, in order to calculate the power of a number we have two options, either we use a while loop or the pow() function.
1. Using a while loop.
#include <stdio.h>
int main() {
int base, expo;
long long result = 1;
printf("Enter a base no.: ");
scanf("%d", &base);
printf("Enter an exponent: ");
scanf("%d", &expo);
while (expo != 0) {
result *= base;
--expo;
}
printf("Answer = %lld", result);
return 0;
}
2. Using the pow() function
#include <math.h>
#include <stdio.h>
int main() {
double base, exp, result;
printf("Enter a base number: ");
scanf("%lf", &base);
printf("Enter an exponent: ");
scanf("%lf", &exp);
// calculate the power of our input numbers
result = pow(base, exp);
printf("%.1lf^%.1lf = %.2lf", base, exp, result);
return 0;
}
If you are trying to calculate the power of base 2, you can use the bitwise shift operator to calculate the power. For example, say you wanted to calculate 2 to the power of 8.
2 << 7
For integer exponent, you may simply write your implementation of pow()
int myPow(int x, int n)
{
if (n == 0) return 1;
return x * myPow(x, n - 1);
}
All the solutions here, except for the ones that use math.h
will not work for fractional powers.
The last example here is by far the worst and acctually copy'n'paste.
It is not only slow but it will break stuff at some point.
Just use the math.h with pow() as already stated and that's good enough.
If you are not allowed to use math.h, use a tail-recursive function, that saves the current operation result in an accumulator and returns the accumulator at the end, thus avoiding exploding function calls due to extensive traces.
Related
I am writing some code that prints out a sum series using a loop and a function.
I intend the equation to look like this
m(i) = (1/2) + (2/3) + ... (i / i + 1)
The problem is that my code always gives me incorrect answers and not printing what it's supposed to. For example, when I input 1 into 1 the answer should be 0.5
This is my code:
#include <iostream>
using namespace std;
void sumSeries(int x);
int main() {
sumSeries(1);
return 0;
}
void sumSeries(int x){
double sum = 0;
for(int i = 0; i < x; i++){
sum = (x/x + 1);
sum += sum;
}
cout<<sum;
}
Indeed, you overwrite your sum but also take care of your integer division.
You may change it as sum += i/(double)(i + 1);
#include <iostream>
using namespace std;
void sumSeries(int x);
int main() {
sumSeries(5);
return 0;
}
void sumSeries(int x){
if (x<0)
{
return;
}
double sum = 0;
for(int i = 0; i < x; i++){
sum += i/(double)(i + 1);
}
cout<<sum;
}
I see two problems in your code.
First: (x/x+1) != (x/(x+1)), in this case C++ obeys the normal point before line calculation rules.
Second: You are overwriting your sum in each iteration, instead of that you should direct add to sum: sum+=x/(x+1)
And a third issue, as noted by Simon Kraemer, is that you are using integer division, to get the correct results you must cast at least one of the operands to a floating point number.
What you want is:
void sumSeries(int x){
double sum = 0;
for(int i = 1; i <= x; i++){ // include i in the list
sum += static_cast<double>(i)/(i + 1); // force the operation as double
}
cout<<sum;
}
your mathematical expression has something not normal. Do you mean M(i)= sum(1-i){i/i+1}? , or 1/2 and 1/3 are constants?
in your case as gerum answered it is a small Operator Precedence problem to learn how the C++ compiler prioritize the operators follow here.
your function also should have a guard against zero denominator (undefined values).
Also you should observe that you take int/int division which will ignore the remaining value. then you should consider that by converting the numerator or the denominator to double before the division here .
then your code should be:
#include <iostream>
using namespace std;
void sumSeries(int x);
int main() {
sumSeries(1);
return 0;
}
void sumSeries(int x){
double sum = 0;
for(int i = 0; i < x; i++){
if ((x+1)!=0){
sum += (double)x/(x + 1);
}
// the else will apply only if x==-1
else {
cout<<"the denominator is zero"<<endl;
throw;
}
}
cout<<sum;
}
The question asks me to find the greatest power devisor of (number, d) I found that the function will be like that:
number % d^x ==0
I've done so far using for loop:
int gratestDevisor(int num, int d){
int p = 0;
for(int i=0; i<=num; i++){
//num % d^i ==0
if( (num % (int)pow(d,i))==0 )
p=i;
}
return p;
}
I've tried so much converting my code to recursion, I can't imagine how to do it and I'm totally confused with recursion. could you give me a tip please, I'm not asking you to solve it for me, just some tip on how to convert it to recursion would be fine.
Here is a simple method with recursion. If ddivides num, you simply have to add 1 to the count, and divide num by d.
#include <stdio.h>
int greatestDevisor(int num, int d){
if (num%d) return 0;
return 1 + greatestDevisor (num/d, d);
}
int main() {
int num = 48;
int d = 2;
int ans = greatestDevisor (num, d);
printf ("%d\n", ans);
return 0;
}
A recursive function consist of one (or more) base case(es) and one (or more) calls to the function itself. The key insight is that each recursive call reduces the problem to something smaller till the base case(es) are reached. State (like partial solutions) are either carried in arguments and return value.
You asked for a hint so I am explicitly not providing a solution. Others have.
Recursive version (which sucks):
int powerDividing(int x, int y)
{
if (x % y) return 0;
return 1 + powerDividing(x/y, y);
}
I have been programming in C++ for a while now. I have seen previously that power function gives wrong answer for bigger powers due to precision issues but today while solving coding problems I saw that under the same type of parameters, pow() function gave different values when put inside a function vs when evaluated directly.
#include <iostream>
#include <math.h>
using namespace std;
long long n,d;
long long power(long long x)
{
return pow(100,x);
}
long long powersecond(long long x)
{
return pow(100,(int)x);
}
int main()
{
n = 68; d = 2;
cout << n*power(d) <<endl; // outputs 679932
cout << n*pow(100,d) <<endl; // outputs 680000
cout << n*powersecond(d) <<endl; // outputs 679932
cout << n*pow(100,(int)d) <<endl; // outputs 680000
return 0;
}
Notice that the answer doesn't change even after converting x to integer in powersecond() function.The answer is still 679932 even if d is int instead of long long int.
The compiler I used is gnu gcc compiler in VS Code.
The problem is that the output of pow is a floating point double. In your custom function you convert that output to long long, which will truncate if the value returned by pow is slightly low instead of slightly high. See Is floating point math broken?. When you call pow directly the value is kept as a double even after the multiplication, and output rounding gives you a more accurate result.
You expect the value returned by pow(100,2) to be 10000, but instead it might be 9999.99999999999 because of the way floating point works. When converted to integer, that becomes 9999; multiplied by 68, you have 679932.
On the other hand, 9999.99999999999 multiplied by 68 becomes 679999.999999999. That's close enough to 680000 that the output function << will round it for you. You can get a more exact figure if you apply output formatting.
Always write your own power function whenever needed. Change return type according to your requirement to avoid any kind of confusion.
long long int power(long long int a, long long int x) {
static long long int ans = 1;
if (x < 0)
return 1 / power(a, (-1 * x));
if (x == 1)
return a;
if (x == 0 or a == 1)
return 1;
if (x & 1)
ans = a * power((a * a), x / 2);
else
ans = power((a * a), x / 2);
return ans;
}
Here is recursive version .You can also write iterative version.
I wrote the following code to sum the series (-1)^i*(i/(i+1)). But when I run it I get -1 for any value of n.
Can some one please point out what I am doing wrong? Thank you in advance!
#include <iostream>
using namespace std;
int main()
{
int sum = 0;
int i = 1.0;
int n = 5.0;
for(i=1;i<=n;i++)
sum = (-1)^i*(i/(i+1));
cout << "Sum" <<" = "<< sum << endl;
return 0;
}
Problem #1: The C++ ^ operator isn't the math power operator. It's a bitwise XOR.
You should use pow() instead.
Problem #2:
You are storing floating-point types into an integer type. So the following will result in integer division (truncated division):
i/(i+1)
Problem #3:
You are not actually summing anything up:
sum = ...
should be:
sum += ...
A corrected version of the code is as follows:
double sum = 0;
int i = 1;
int n = 5;
for(i = 1; i <= n; i++)
sum += pow(-1.,(double)i) * ((double)i / (i + 1));
Although you really don't need to use pow in this case. A simple test for odd/even will do.
double sum = 0;
int i = 1;
int n = 5;
for(i = 1; i <= n; i++){
double val = (double)i / (i + 1);
if (i % 2 != 0){
val *= -1.;
}
sum += val;
}
You need too put sum += pow(-1,i)*(i/(i+1));
Otherwise you lose previous result each time.
Use pow function for pow operation.
edit : as said in other post, use double or float instead of int to avoid truncated division.
How about this
((i % 2) == 0 ? 1 : -1)
instead of
std::pow(-1, i)
?
Full answer:
double sum = 0;
int i = 1.0;
int n = 5.0;
for (i = 1; i <= n; ++i) {
signed char sign = ((i % 2) == 0 ? 1 : -1);
sum += sign * (i / (i+1));
}
Few problems:
^ is teh bitwise exclusive or in c++ not "raised to power". Use pow() method.
Remove the dangling opening bracket from the last line
Use ints not floats when assigning to ints.
You seem to have a few things wrong with your code:
using namespace std;
This is not directly related to your problem at hand, but don't ever say using namespace std; It introduces subtle bugs.
int i = 1.0;
int n = 5.0;
You are initializaing integral variables with floating-point constants. Try
int i = 1;
int n = 5;
sum = (-1)^i*(i/(i+1));
You have two problems with this expression. First, the quantity (i/(i+1)) is always zero. Remember dividing two ints rounds the result. Second, ^ doesn't do what you think it does. It is the exclusive-or operator, not the exponentiation operator. Third, ^ binds less tightly than *, so your expression is:
-1 xor (i * (i/(i+1)))
-1 xor (i * 0)
-1 xor 0
-1
^ does not do what you think it does. Also there are some other mistakes in your code.
What it should be:
#include <iostream>
#include <cmath>
int main( )
{
long sum = 0;
int i = 1;
int n = 5;
for( i = 1; i <= n; i++ )
sum += std::pow( -1.f, i ) * ( i / ( i + 1 ) );
std::cout << "Sum = " << sum << std::endl;
return 0;
}
To take a power of a value, use std::pow (see here). Also you can not assign int to a decimal value. For that you need to use float or double.
The aforementioned ^ is a bitwise-XOR, not a mark for an exponent.
Also be careful of Integer Arithmetic as you may get unexpected results. You most likely want to change your variables to either float or double.
There are a few issues with the code:
int sum = 0;
The intermediate results are not integers, this should be a double
int i = 1.0;
Since you will use this in a division, it should be a double, 1/2 is 0 if calculated in integers.
int n = 5.0;
This is an int, not a floating point value, no .0 is needed.
for(i=1;i<=n;i++)
You've already initialized i to 1, why do it again?
sum = (-1)^i*(i/(i+1));
Every iteration you lose the previous value, you should use sum+= 'new values'
Also, you don't need pow to calculate (-1)^i, all this does is switch between +1 and -1 depending on the odd/even status of i. You can do this easier with an if statement or with 2 for's, one for odd i one for even ones... Many choices really.
How do I raise a number to a power?
2^1
2^2
2^3
etc...
pow() in the cmath library. More info here.
Don't forget to put #include<cmath> at the top of the file.
std::pow in the <cmath> header has these overloads:
pow(float, float);
pow(float, int);
pow(double, double); // taken over from C
pow(double, int);
pow(long double, long double);
pow(long double, int);
Now you can't just do
pow(2, N)
with N being an int, because it doesn't know which of float, double, or long double version it should take, and you would get an ambiguity error. All three would need a conversion from int to floating point, and all three are equally costly!
Therefore, be sure to have the first argument typed so it matches one of those three perfectly. I usually use double
pow(2.0, N)
Some lawyer crap from me again. I've often fallen in this pitfall myself, so I'm going to warn you about it.
In C++ the "^" operator is a bitwise XOR. It does not work for raising to a power. The x << n is a left shift of the binary number which is the same as multiplying x by 2 n number of times and that can only be used when raising 2 to a power, and not other integers. The POW function is a math function that will work generically.
You should be able to use normal C methods in math.
#include <cmath>
pow(2,3)
if you're on a unix-like system, man cmath
Is that what you're asking?
Sujal
Use the pow(x,y) function: See Here
Just include math.h and you're all set.
While pow( base, exp ) is a great suggestion, be aware that it typically works in floating-point.
This may or may not be what you want: on some systems a simple loop multiplying on an accumulator will be faster for integer types.
And for square specifically, you might as well just multiply the numbers together yourself, floating-point or integer; it's not really a decrease in readability (IMHO) and you avoid the performance overhead of a function call.
I don't have enough reputation to comment, but if you like working with QT, they have their own version.
#include <QtCore/qmath.h>
qPow(x, y); // returns x raised to the y power.
Or if you aren't using QT, cmath has basically the same thing.
#include <cmath>
double x = 5, y = 7; //As an example, 5 ^ 7 = 78125
pow(x, y); //Should return this: 78125
if you want to deal with base_2 only then i recommend using left shift operator << instead of math library.
sample code :
int exp = 16;
for(int base_2 = 1; base_2 < (1 << exp); (base_2 <<= 1)){
std::cout << base_2 << std::endl;
}
sample output :
1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768
It's pow or powf in <math.h>
There is no special infix operator like in Visual Basic or Python
#include <iostream>
#include <conio.h>
using namespace std;
double raiseToPow(double ,int) //raiseToPow variable of type double which takes arguments (double, int)
void main()
{
double x; //initializing the variable x and i
int i;
cout<<"please enter the number";
cin>>x;
cout<<"plese enter the integer power that you want this number raised to";
cin>>i;
cout<<x<<"raise to power"<<i<<"is equal to"<<raiseToPow(x,i);
}
//definition of the function raiseToPower
double raiseToPow(double x, int power)
{
double result;
int i;
result =1.0;
for (i=1, i<=power;i++)
{
result = result*x;
}
return(result);
}
Many answers have suggested pow() or similar alternatives or their own implementations. However, given the examples (2^1, 2^2 and 2^3) in your question, I would guess whether you only need to raise 2 to an integer power. If this is the case, I would suggest you to use 1 << n for 2^n.
pow(2.0,1.0)
pow(2.0,2.0)
pow(2.0,3.0)
Your original question title is misleading. To just square, use 2*2.
First add #include <cmath> then
you can use pow methode in your code for example :
pow(3.5, 3);
Which 3.5 is base and 3 is exp
Note that the use of pow(x,y) is less efficient than x*x*x y times as shown and answered here https://stackoverflow.com/a/2940800/319728.
So if you're going for efficiency use x*x*x.
I am using the library cmath or math.h in order to make use of the pow() library functions that takes care of the powers
#include<iostream>
#include<cmath>
int main()
{
double number,power, result;
cout<<"\nEnter the number to raise to power: ";
cin>>number;
cout<<"\nEnter the power to raise to: ";
cin>>power;
result = pow(number,power);
cout<<"\n"<< number <<"^"<< power<<" = "<< result;
return 0;
}
use pow() function in cmath, tgmath or math.h library.
#include <iostream>
#include <cmath>
using namespace std;
int main()
{
int a,b;
cin >> a >> b;
cout << pow(a,b) << endl; // this calculates a^b
return 0;
}
do note that if you give input to power as any data type other than long double then the answer will be promoted to that of double. that is it will take input and give output as double. for long double inputs the return type is long double. for changing the answer to int use,
int c=(int)pow(a,b)
But, do keep in mind for some numbers this may result in a number less than the correct answer. so for example you have to calculate 5^2, then the answer can be returned as 24.99999999999 on some compilers. on changing the data type to int the answer will be 24 rather than 25 the correct answer. So, do this
int c=(int)(pow(a,b)+0.5)
Now, your answer will be correct.
also, for very large numbers data is lost in changing data type double to long long int.
for example you write
long long int c=(long long int)(pow(a,b)+0.5);
and give input a=3 and b=38
then the result will come out to be 1350851717672992000 while the correct answer is 1350851717672992089, this happens because pow() function return 1.35085e+18 which gets promoted to int as 1350851717672992000. I suggest writing a custom power function for such scenarios, like:-
long long int __pow (long long int a, long long int b)
{
long long int q=1;
for (long long int i=0;i<=b-1;i++)
{
q=q*a;
}
return q;
}
and then calling it whenever you want like,
int main()
{
long long int a,b;
cin >> a >> b;
long long int c=__pow(a,b);
cout << c << endl;
return 0;
}
For numbers greater than the range of long long int, either use boost library or strings.
int power (int i, int ow) // works only for ow >= 1
{ // but does not require <cmath> library!=)
if (ow > 1)
{
i = i * power (i, ow - 1);
}
return i;
}
cout << power(6,7); //you can enter variables here