I keep stumbling on the format specifiers for the printf() family of functions. What I want is to be able to print a double (or float) with a maximum given number of digits after the decimal point. If I use:
printf("%1.3f", 359.01335);
printf("%1.3f", 359.00999);
I get
359.013
359.010
Instead of the desired
359.013
359.01
Can anybody help me?
you can round-off the value to 2 digits after decimal, x = floor((x * 100) + 0.5)/100; and then print using printf to truncate any trailing zeros.. It is better and simpler to let printf do the rounding by specifying the precision in the format string: %.
You have to use external commands because there is no built-in rounding feature in printf(1) , and the POSIX shell doesn't have built-in floating-point arithmetic. To round to the nearest decimal digit, you add 0.5 and truncate.
We can print the double value using both %f and %lf format specifier because printf treats both float and double are same. So, we can use both %f and %lf to print a double value.
This can't be done with the normal printf
format specifiers. The closest you could get would be:
printf("%.6g", 359.013); // 359.013
printf("%.6g", 359.01); // 359.01
but the ".6" is the total numeric width so
printf("%.6g", 3.01357); // 3.01357
breaks it.
What you can do is to sprintf("%.20g")
the number to a string buffer then manipulate the string to only have N characters past the decimal point.
Assuming your number is in the variable num, the following function will remove all but the first N
decimals, then strip off the trailing zeros (and decimal point if they were all zeros).
char str[50];
sprintf (str,"%.20g",num); // Make the number.
morphNumericString (str, 3);
: :
void morphNumericString (char *s, int n) {
char *p;
int count;
p = strchr (s,'.'); // Find decimal point, if any.
if (p != NULL) {
count = n; // Adjust for more or less decimals.
while (count >= 0) { // Maximum decimals allowed.
count--;
if (*p == '\0') // If there's less than desired.
break;
p++; // Next character.
}
*p-- = '\0'; // Truncate string.
while (*p == '0') // Remove trailing zeros.
*p-- = '\0';
if (*p == '.') { // If all decimals were zeros, remove ".".
*p = '\0';
}
}
}
If you're not happy with the truncation aspect (which would turn 0.12399
into 0.123
rather than rounding it to 0.124
), you can actually use the rounding facilities already provided by printf
. You just need to analyse the number before-hand to dynamically create the widths, then use those to turn the number into a string:
#include <stdio.h>
void nDecimals (char *s, double d, int n) {
int sz; double d2;
// Allow for negative.
d2 = (d >= 0) ? d : -d;
sz = (d >= 0) ? 0 : 1;
// Add one for each whole digit (0.xx special case).
if (d2 < 1) sz++;
while (d2 >= 1) { d2 /= 10.0; sz++; }
// Adjust for decimal point and fractionals.
sz += 1 + n;
// Create format string then use it.
sprintf (s, "%*.*f", sz, n, d);
}
int main (void) {
char str[50];
double num[] = { 40, 359.01335, -359.00999,
359.01, 3.01357, 0.111111111, 1.1223344 };
for (int i = 0; i < sizeof(num)/sizeof(*num); i++) {
nDecimals (str, num[i], 3);
printf ("%30.20f -> %s\n", num[i], str);
}
return 0;
}
The whole point of nDecimals()
in this case is to correctly work out the field widths, then format the number using a format string based on that. The test harness main()
shows this in action:
40.00000000000000000000 -> 40.000
359.01335000000000263753 -> 359.013
-359.00999000000001615263 -> -359.010
359.00999999999999090505 -> 359.010
3.01357000000000008200 -> 3.014
0.11111111099999999852 -> 0.111
1.12233439999999995429 -> 1.122
Once you have the correctly rounded value, you can once again pass that to morphNumericString()
to remove trailing zeros by simply changing:
nDecimals (str, num[i], 3);
into:
nDecimals (str, num[i], 3);
morphNumericString (str, 3);
(or calling morphNumericString
at the end of nDecimals
but, in that case, I'd probably just combine the two into one function), and you end up with:
40.00000000000000000000 -> 40
359.01335000000000263753 -> 359.013
-359.00999000000001615263 -> -359.01
359.00999999999999090505 -> 359.01
3.01357000000000008200 -> 3.014
0.11111111099999999852 -> 0.111
1.12233439999999995429 -> 1.122
To get rid of the trailing zeros, you should use the "%g" format:
float num = 1.33;
printf("%g", num); //output: 1.33
After the question was clarified a bit, that suppressing zeros is not the only thing that was asked, but limiting the output to three decimal places was required as well. I think that can't be done with sprintf format strings alone. As Pax Diablo pointed out, string manipulation would be required.
I like the answer of R. slightly tweaked:
float f = 1234.56789;
printf("%d.%.0f", f, 1000*(f-(int)f));
'1000' determines the precision.
Power to the 0.5 rounding.
EDIT
Ok, this answer was edited a few times and I lost track what I was thinking a few years back (and originally it did not fill all the criteria). So here is a new version (that fills all criteria and handles negative numbers correctly):
double f = 1234.05678900;
char s[100];
int decimals = 10;
sprintf(s,"%.*g", decimals, ((int)(pow(10, decimals)*(fabs(f) - abs((int)f)) +0.5))/pow(10,decimals));
printf("10 decimals: %d%s\n", (int)f, s+1);
And the test cases:
#import <stdio.h>
#import <stdlib.h>
#import <math.h>
int main(void){
double f = 1234.05678900;
char s[100];
int decimals;
decimals = 10;
sprintf(s,"%.*g", decimals, ((int)(pow(10, decimals)*(fabs(f) - abs((int)f)) +0.5))/pow(10,decimals));
printf("10 decimals: %d%s\n", (int)f, s+1);
decimals = 3;
sprintf(s,"%.*g", decimals, ((int)(pow(10, decimals)*(fabs(f) - abs((int)f)) +0.5))/pow(10,decimals));
printf(" 3 decimals: %d%s\n", (int)f, s+1);
f = -f;
decimals = 10;
sprintf(s,"%.*g", decimals, ((int)(pow(10, decimals)*(fabs(f) - abs((int)f)) +0.5))/pow(10,decimals));
printf(" negative 10: %d%s\n", (int)f, s+1);
decimals = 3;
sprintf(s,"%.*g", decimals, ((int)(pow(10, decimals)*(fabs(f) - abs((int)f)) +0.5))/pow(10,decimals));
printf(" negative 3: %d%s\n", (int)f, s+1);
decimals = 2;
f = 1.012;
sprintf(s,"%.*g", decimals, ((int)(pow(10, decimals)*(fabs(f) - abs((int)f)) +0.5))/pow(10,decimals));
printf(" additional : %d%s\n", (int)f, s+1);
return 0;
}
And the output of the tests:
10 decimals: 1234.056789
3 decimals: 1234.057
negative 10: -1234.056789
negative 3: -1234.057
additional : 1.01
Now, all criteria are met:
Unfortunately this answer is a two-liner as sprintf
does not return the string.
Why not just do this?
double f = 359.01335;
printf("%g", round(f * 1000.0) / 1000.0);
I search the string (starting rightmost) for the first character in the range 1
to 9
(ASCII value 49
-57
) then null
(set to 0
) each char right of it - see below:
void stripTrailingZeros(void) {
//This finds the index of the rightmost ASCII char[1-9] in array
//All elements to the left of this are nulled (=0)
int i = 20;
unsigned char char1 = 0; //initialised to ensure entry to condition below
while ((char1 > 57) || (char1 < 49)) {
i--;
char1 = sprintfBuffer[i];
}
//null chars left of i
for (int j = i; j < 20; j++) {
sprintfBuffer[i] = 0;
}
}
What about something like this (might have rounding errors and negative-value issues that need debugging, left as an exercise for the reader):
printf("%.0d%.4g\n", (int)f/10, f-((int)f-(int)f%10));
It's slightly programmatic but at least it doesn't make you do any string manipulation.
Some of the highly voted solutions suggest the %g
conversion specifier of printf
. This is wrong because there are cases where %g
will produce scientific notation. Other solutions use math to print the desired number of decimal digits.
I think the easiest solution is to use sprintf
with the %f
conversion specifier and to manually remove trailing zeros and possibly a decimal point from the result. Here's a C99 solution:
#include <stdio.h>
#include <stdlib.h>
char*
format_double(double d) {
int size = snprintf(NULL, 0, "%.3f", d);
char *str = malloc(size + 1);
snprintf(str, size + 1, "%.3f", d);
for (int i = size - 1, end = size; i >= 0; i--) {
if (str[i] == '0') {
if (end == i + 1) {
end = i;
}
}
else if (str[i] == '.') {
if (end == i + 1) {
end = i;
}
str[end] = '\0';
break;
}
}
return str;
}
Note that the characters used for digits and the decimal separator depend on the current locale. The code above assumes a C or US English locale.
A simple solution but it gets the job done, assigns a known length and precision and avoids the chance of going exponential format (which is a risk when you use %g):
// Since we are only interested in 3 decimal places, this function
// can avoid any potential miniscule floating point differences
// which can return false when using "=="
int DoubleEquals(double i, double j)
{
return (fabs(i - j) < 0.000001);
}
void PrintMaxThreeDecimal(double d)
{
if (DoubleEquals(d, floor(d)))
printf("%.0f", d);
else if (DoubleEquals(d * 10, floor(d * 10)))
printf("%.1f", d);
else if (DoubleEquals(d * 100, floor(d* 100)))
printf("%.2f", d);
else
printf("%.3f", d);
}
Add or remove "elses" if you want a max of 2 decimals; 4 decimals; etc.
For example if you wanted 2 decimals:
void PrintMaxTwoDecimal(double d)
{
if (DoubleEquals(d, floor(d)))
printf("%.0f", d);
else if (DoubleEquals(d * 10, floor(d * 10)))
printf("%.1f", d);
else
printf("%.2f", d);
}
If you want to specify the minimum width to keep fields aligned, increment as necessary, for example:
void PrintAlignedMaxThreeDecimal(double d)
{
if (DoubleEquals(d, floor(d)))
printf("%7.0f", d);
else if (DoubleEquals(d * 10, floor(d * 10)))
printf("%9.1f", d);
else if (DoubleEquals(d * 100, floor(d* 100)))
printf("%10.2f", d);
else
printf("%11.3f", d);
}
You could also convert that to a function where you pass the desired width of the field:
void PrintAlignedWidthMaxThreeDecimal(int w, double d)
{
if (DoubleEquals(d, floor(d)))
printf("%*.0f", w-4, d);
else if (DoubleEquals(d * 10, floor(d * 10)))
printf("%*.1f", w-2, d);
else if (DoubleEquals(d * 100, floor(d* 100)))
printf("%*.2f", w-1, d);
else
printf("%*.3f", w, d);
}
I found problems in some of the solutions posted. I put this together based on answers above. It seems to work for me.
int doubleEquals(double i, double j) {
return (fabs(i - j) < 0.000001);
}
void printTruncatedDouble(double dd, int max_len) {
char str[50];
int match = 0;
for ( int ii = 0; ii < max_len; ii++ ) {
if (doubleEquals(dd * pow(10,ii), floor(dd * pow(10,ii)))) {
sprintf (str,"%f", round(dd*pow(10,ii))/pow(10,ii));
match = 1;
break;
}
}
if ( match != 1 ) {
sprintf (str,"%f", round(dd*pow(10,max_len))/pow(10,max_len));
}
char *pp;
int count;
pp = strchr (str,'.');
if (pp != NULL) {
count = max_len;
while (count >= 0) {
count--;
if (*pp == '\0')
break;
pp++;
}
*pp-- = '\0';
while (*pp == '0')
*pp-- = '\0';
if (*pp == '.') {
*pp = '\0';
}
}
printf ("%s\n", str);
}
int main(int argc, char **argv)
{
printTruncatedDouble( -1.999, 2 ); // prints -2
printTruncatedDouble( -1.006, 2 ); // prints -1.01
printTruncatedDouble( -1.005, 2 ); // prints -1
printf("\n");
printTruncatedDouble( 1.005, 2 ); // prints 1 (should be 1.01?)
printTruncatedDouble( 1.006, 2 ); // prints 1.01
printTruncatedDouble( 1.999, 2 ); // prints 2
printf("\n");
printTruncatedDouble( -1.999, 3 ); // prints -1.999
printTruncatedDouble( -1.001, 3 ); // prints -1.001
printTruncatedDouble( -1.0005, 3 ); // prints -1.001 (shound be -1?)
printTruncatedDouble( -1.0004, 3 ); // prints -1
printf("\n");
printTruncatedDouble( 1.0004, 3 ); // prints 1
printTruncatedDouble( 1.0005, 3 ); // prints 1.001
printTruncatedDouble( 1.001, 3 ); // prints 1.001
printTruncatedDouble( 1.999, 3 ); // prints 1.999
printf("\n");
exit(0);
}
My idea is to calculate the required precision that would not result in trailing zeroes for a given double value and pass it to the "%1.*f"
format in printf().
This can even be done as one-liner:
int main() {
double r=1234.56789;
int precision=3;
printf(L"%1.*f", prec(r, precision), r);
}
int prec(const double& r, int precision)
{
double rPos = (r < 0)? -r : r;
double nkd = fmod(rPos, 1.0); // 0..0.99999999
int i, ex10 = 1;
for (i = 0; i < precision; ++i)
ex10 *= 10;
int nki = (int)(nkd * ex10 + 0.5);
// "Eliminate" trailing zeroes
int requiredPrecision = precision;
for (; requiredPrecision && !(nki % 10); ) {
--requiredPrecision;
nki /= 10;
}
return requiredPrecision;
}
And here is another %g
solution. You should always provide a format precision that is "wide enough" (default is only 6) and round the value. I think this is a nice way to do it:
double round(const double &value, const double& rounding) {
return rounding!=0 ? floor(value/rounding + 0.5)*rounding : value;
}
printf("%.12g" round(val, 0.001)); // prints up to 3 relevant digits
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