How do I restrict a float value to only two places after the decimal point in C?

Question

How can I round a float value (such as 37.777779) to two decimal places (37.78) in C?

Answer 1

If you just want to round the number for output purposes, then the "%.2f" format string is indeed the correct answer. However, if you actually want to round the floating point value for further computation, something like the following works:

#include <math.h>

float val = 37.777779;

float rounded_down = floorf(val * 100) / 100;   /* Result: 37.77 */
float nearest = roundf(val * 100) / 100;  /* Result: 37.78 */
float rounded_up = ceilf(val * 100) / 100;      /* Result: 37.78 */

Notice that there are three different rounding rules you might want to choose: round down (ie, truncate after two decimal places), rounded to nearest, and round up. Usually, you want round to nearest.

As several others have pointed out, due to the quirks of floating point representation, these rounded values may not be exactly the "obvious" decimal values, but they will be very very close.

For much (much!) more information on rounding, and especially on tie-breaking rules for rounding to nearest, see the Wikipedia article on Rounding.

Answer 2

Using %.2f in printf. It only print 2 decimal points.

Example:

printf("%.2f", 37.777779);

Output:

37.77

Answer 3

Assuming you're talking about round the value for printing, then Andrew Coleson and AraK's answer are correct:

printf("%.2f", 37.777779);

But note that if you're aiming to round the number to exactly 37.78 for internal use (eg to compare against another value), then this isn't a good idea, due to the way floating point numbers work: you usually don't want to do equality comparisons for floating point, instead use a target value +/- a sigma value. Or encode the number as a string with a known precision, and compare that.

See the link in Greg Hewgill's answer to a related question, which also covers why you shouldn't use floating point for financial calculations.

Answer 4

How about this:

float value = 37.777779;
float rounded = ((int)(value * 100 + .5) / 100.0);

Answer 5

printf("%.2f", 37.777779);

If you want to write to C-string:

char number[24]; // dummy size, you should take care of the size!
sprintf(number, "%.2f", 37.777779);

Answer 6

Always use the printf family of functions for this. Even if you want to get the value as a float, you're best off using snprintf to get the rounded value as a string and then parsing it back with atof:

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

double dround(double val, int dp) {
    int charsNeeded = 1 + snprintf(NULL, 0, "%.*f", dp, val);
    char *buffer = malloc(charsNeeded);
    snprintf(buffer, charsNeeded, "%.*f", dp, val);
    double result = atof(buffer);
    free(buffer);
    return result;
}

I say this because the approach shown by the currently top-voted answer and several others here - multiplying by 100, rounding to the nearest integer, and then dividing by 100 again - is flawed in two ways:

• For some values, it will round in the wrong direction because the multiplication by 100 changes the decimal digit determining the rounding direction from a 4 to a 5 or vice versa, due to the imprecision of floating point numbers
• For some values, multiplying and then dividing by 100 doesn't round-trip, meaning that even if no rounding takes place the end result will be wrong

To illustrate the first kind of error - the rounding direction sometimes being wrong - try running this program:

int main(void) {
    // This number is EXACTLY representable as a double
    double x = 0.01499999999999999944488848768742172978818416595458984375;

    printf("x: %.50f\n", x);

    double res1 = dround(x, 2);
    double res2 = round(100 * x) / 100;

    printf("Rounded with snprintf: %.50f\n", res1);
    printf("Rounded with round, then divided: %.50f\n", res2);
}

You'll see this output:

x: 0.01499999999999999944488848768742172978818416595459
Rounded with snprintf: 0.01000000000000000020816681711721685132943093776703
Rounded with round, then divided: 0.02000000000000000041633363423443370265886187553406

Note that the value we started with was less than 0.015, and so the mathematically correct answer when rounding it to 2 decimal places is 0.01. Of course, 0.01 is not exactly representable as a double, but we expect our result to be the double nearest to 0.01. Using snprintf gives us that result, but using round(100 * x) / 100 gives us 0.02, which is wrong. Why? Because 100 * x gives us exactly 1.5 as the result. Multiplying by 100 thus changes the correct direction to round in.

To illustrate the second kind of error - the result sometimes being wrong due to * 100 and / 100 not truly being inverses of each other - we can do a similar exercise with a very big number:

int main(void) {
    double x = 8631192423766613.0;

    printf("x: %.1f\n", x);

    double res1 = dround(x, 2);
    double res2 = round(100 * x) / 100;

    printf("Rounded with snprintf: %.1f\n", res1);
    printf("Rounded with round, then divided: %.1f\n", res2);
}

Our number now doesn't even have a fractional part; it's an integer value, just stored with type double. So the result after rounding it should be the same number we started with, right?

If you run the program above, you'll see:

x: 8631192423766613.0
Rounded with snprintf: 8631192423766613.0
Rounded with round, then divided: 8631192423766612.0

Oops. Our snprintf method returns the right result again, but the multiply-then-round-then-divide approach fails. That's because the mathematically correct value of 8631192423766613.0 * 100, 863119242376661300.0, is not exactly representable as a double; the closest value is 863119242376661248.0. When you divide that back by 100, you get 8631192423766612.0 - a different number to the one you started with.

Hopefully that's a sufficient demonstration that using roundf for rounding to a number of decimal places is broken, and that you should use snprintf instead. If that feels like a horrible hack to you, perhaps you'll be reassured by the knowledge that it's basically what CPython does.

Answer 7

Also, if you're using C++, you can just create a function like this:

string prd(const double x, const int decDigits) {
    stringstream ss;
    ss << fixed;
    ss.precision(decDigits); // set # places after decimal
    ss << x;
    return ss.str();
}

You can then output any double myDouble with n places after the decimal point with code such as this:

std::cout << prd(myDouble,n);

Answer 8

There isn't a way to round a float to another float because the rounded float may not be representable (a limitation of floating-point numbers). For instance, say you round 37.777779 to 37.78, but the nearest representable number is 37.781.

However, you can "round" a float by using a format string function.

Answer 9

In C++ (or in C with C-style casts), you could create the function:

/* Function to control # of decimal places to be output for x */
double showDecimals(const double& x, const int& numDecimals) {
    int y=x;
    double z=x-y;
    double m=pow(10,numDecimals);
    double q=z*m;
    double r=round(q);

    return static_cast<double>(y)+(1.0/m)*r;
}

Then std::cout << showDecimals(37.777779,2); would produce: 37.78.

Obviously you don't really need to create all 5 variables in that function, but I leave them there so you can see the logic. There are probably simpler solutions, but this works well for me--especially since it allows me to adjust the number of digits after the decimal place as I need.

Answer 10

You can still use:

float ceilf(float x); // don't forget #include <math.h> and link with -lm.

example:

float valueToRound = 37.777779;
float roundedValue = ceilf(valueToRound * 100) / 100;

Answer 11

Use float roundf(float x).

"The round functions round their argument to the nearest integer value in floating-point format, rounding halfway cases away from zero, regardless of the current rounding direction." C11dr §7.12.9.5

#include <math.h>
// When |x| is less than FLT_MAX/100
float y = roundf(x * 100.0f) / 100.0f; 

---

Depending on your float implementation, numbers that may appear to be half-way are not. Floating-point is typically base-2 oriented. Further, precisely rounding to the nearest 0.01 on all "half-way" cases is most challenging.

void r100(const char *s) {
  float x, y;
  sscanf(s, "%f", &x);
  y = round(x*100.0)/100.0;
  printf("%6s %.12e %.12e\n", s, x, y);
}

int main(void) {
  r100("1.115");
  r100("1.125");
  r100("1.135");
  return 0;
}

 1.115 1.115000009537e+00 1.120000004768e+00  
 1.125 1.125000000000e+00 1.129999995232e+00
 1.135 1.134999990463e+00 1.139999985695e+00

Although "1.115" is "half-way" between 1.11 and 1.12, when converted to float, the value is 1.115000009537... and is no longer "half-way", but closer to 1.12 and rounds to the closest float of 1.120000004768...

"1.125" is "half-way" between 1.12 and 1.13, when converted to float, the value is exactly 1.125 and is "half-way". It rounds toward 1.13 due to ties to even rule and rounds to the closest float of 1.129999995232...

Although "1.135" is "half-way" between 1.13 and 1.14, when converted to float, the value is 1.134999990463... and is no longer "half-way", but closer to 1.13 and rounds to the closest float of 1.129999995232...

If code used

y = roundf(x*100.0f)/100.0f;

Although "1.135" is "half-way" between 1.13 and 1.14, when converted to float, the value is 1.134999990463... and is no longer "half-way", but closer to 1.13 but incorrectly rounds to float of 1.139999985695... due to the more limited precision of float vs. double. This incorrect value may be viewed as correct, depending on coding goals.

Answer 12

Code definition :

#define roundz(x,d) ((floor(((x)*pow(10,d))+.5))/pow(10,d))

Results :

a = 8.000000
sqrt(a) = r = 2.828427
roundz(r,2) = 2.830000
roundz(r,3) = 2.828000
roundz(r,5) = 2.828430

Answer 13

double f_round(double dval, int n)
{
    char l_fmtp[32], l_buf[64];
    char *p_str;
    sprintf (l_fmtp, "%%.%df", n);
    if (dval>=0)
            sprintf (l_buf, l_fmtp, dval);
    else
            sprintf (l_buf, l_fmtp, dval);
    return ((double)strtod(l_buf, &p_str));

}

Here n is the number of decimals

example:

double d = 100.23456;

printf("%f", f_round(d, 4));// result: 100.2346

printf("%f", f_round(d, 2));// result: 100.23

Answer 14

I made this macro for rounding float numbers. Add it in your header / being of file

#define ROUNDF(f, c) (((float)((int)((f) * (c))) / (c)))

Here is an example:

float x = ROUNDF(3.141592, 100)

x equals 3.14 :)

Answer 15

Let me first attempt to justify my reason for adding yet another answer to this question. In an ideal world, rounding is not really a big deal. However, in real systems, you may need to contend with several issues that can result in rounding that may not be what you expect. For example, you may be performing financial calculations where final results are rounded and displayed to users as 2 decimal places; these same values are stored with fixed precision in a database that may include more than 2 decimal places (for various reasons; there is no optimal number of places to keep...depends on specific situations each system must support, e.g. tiny items whose prices are fractions of a penny per unit); and, floating point computations performed on values where the results are plus/minus epsilon. I have been confronting these issues and evolving my own strategy over the years. I won't claim that I have faced every scenario or have the best answer, but below is an example of my approach so far that overcomes these issues:

Suppose 6 decimal places is regarded as sufficient precision for calculations on floats/doubles (an arbitrary decision for the specific application), using the following rounding function/method:

double Round(double x, int p)
{
    if (x != 0.0) {
        return ((floor((fabs(x)*pow(double(10.0),p))+0.5))/pow(double(10.0),p))*(x/fabs(x));
    } else {
        return 0.0;
    }
}

Rounding to 2 decimal places for presentation of a result can be performed as:

double val;
// ...perform calculations on val
String(Round(Round(Round(val,8),6),2));

For val = 6.825, result is 6.83 as expected.

For val = 6.824999, result is 6.82. Here the assumption is that the calculation resulted in exactly 6.824999 and the 7th decimal place is zero.

For val = 6.8249999, result is 6.83. The 7th decimal place being 9 in this case causes the Round(val,6) function to give the expected result. For this case, there could be any number of trailing 9s.

For val = 6.824999499999, result is 6.83. Rounding to the 8th decimal place as a first step, i.e. Round(val,8), takes care of the one nasty case whereby a calculated floating point result calculates to 6.8249995, but is internally represented as 6.824999499999....

Finally, the example from the question...val = 37.777779 results in 37.78.

This approach could be further generalized as:

double val;
// ...perform calculations on val
String(Round(Round(Round(val,N+2),N),2));

where N is precision to be maintained for all intermediate calculations on floats/doubles. This works on negative values as well. I do not know if this approach is mathematically correct for all possibilities.

Answer 16

...or you can do it the old-fashioned way without any libraries:

float a = 37.777779;

int b = a; // b = 37    
float c = a - b; // c = 0.777779   
c *= 100; // c = 77.777863   
int d = c; // d = 77;    
a = b + d / (float)100; // a = 37.770000;

That of course if you want to remove the extra information from the number.

Answer 17

this function takes the number and precision and returns the rounded off number

float roundoff(float num,int precision)
{
      int temp=(int )(num*pow(10,precision));
      int num1=num*pow(10,precision+1);
      temp*=10;
      temp+=5;
      if(num1>=temp)
              num1+=10;
      num1/=10;
      num1*=10;
      num=num1/pow(10,precision+1);
      return num;
}

it converts the floating point number into int by left shifting the point and checking for the greater than five condition.