Math round Java issue 2.495 to 2 digits = 2.49 - java

First off this is the code I use :
public static float roundAt(float value , int digits) {
double pow = Math.pow(10, digits);
double retvalue;
retvalue = (value * pow);
retvalue = Math.round(retvalue);
retvalue = retvalue / pow;
return (float) retvalue;
}
So using this method I do the following
if I round these values:
roundAt(0.495f,2) = 0.5
roundAt(1.495f,2) = 1.5
roundAt(2.495f,2) = 2.49
I try to understand the logic behind this but I can't. I want the rounding to act the same everytime so I would get 2.5 with roundAt(2.495f,2). Any idea what's going on ?
Thank you

The reason for that is, that you calculation...
retvalue = (value * pow);
...leads to...
2.495 * 100.0 = 249.4999885559082
Using a double instead of a float will fix that specific problem. Neither float nor double are exact values, but float is even less exact than double and will lead to errors more easily. If you are curious, you will find much material on floating point arithmetics out there.

If you do 2.495f * 100.0 you will notice that the result is 249.4999885559082. Since the decimal part is less than .5, this gets rounded down to 249.0 that, when divided by 100.0, gives 2.49.
If you want more information on how to round a double, check this other answer.

Related

Best method to round a double in Java 12/13? [duplicate]

This question already has answers here:
How to round a number to n decimal places in Java
(39 answers)
Closed 8 years ago.
If the value is 200.3456, it should be formatted to 200.34.
If it is 200, then it should be 200.00.
Here's an utility that rounds (instead of truncating) a double to specified number of decimal places.
For example:
round(200.3456, 2); // returns 200.35
Original version; watch out with this
public static double round(double value, int places) {
if (places < 0) throw new IllegalArgumentException();
long factor = (long) Math.pow(10, places);
value = value * factor;
long tmp = Math.round(value);
return (double) tmp / factor;
}
This breaks down badly in corner cases with either a very high number of decimal places (e.g. round(1000.0d, 17)) or large integer part (e.g. round(90080070060.1d, 9)). Thanks to Sloin for pointing this out.
I've been using the above to round "not-too-big" doubles to 2 or 3 decimal places happily for years (for example to clean up time in seconds for logging purposes: 27.987654321987 -> 27.99). But I guess it's best to avoid it, since more reliable ways are readily available, with cleaner code too.
So, use this instead
(Adapted from this answer by Louis Wasserman and this one by Sean Owen.)
public static double round(double value, int places) {
if (places < 0) throw new IllegalArgumentException();
BigDecimal bd = BigDecimal.valueOf(value);
bd = bd.setScale(places, RoundingMode.HALF_UP);
return bd.doubleValue();
}
Note that HALF_UP is the rounding mode "commonly taught at school". Peruse the RoundingMode documentation, if you suspect you need something else such as Bankers’ Rounding.
Of course, if you prefer, you can inline the above into a one-liner:
new BigDecimal(value).setScale(places, RoundingMode.HALF_UP).doubleValue()
And in every case
Always remember that floating point representations using float and double are inexact.
For example, consider these expressions:
999199.1231231235 == 999199.1231231236 // true
1.03 - 0.41 // 0.6200000000000001
For exactness, you want to use BigDecimal. And while at it, use the constructor that takes a String, never the one taking double. For instance, try executing this:
System.out.println(new BigDecimal(1.03).subtract(new BigDecimal(0.41)));
System.out.println(new BigDecimal("1.03").subtract(new BigDecimal("0.41")));
Some excellent further reading on the topic:
Item 48: "Avoid float and double if exact answers are required" in Effective Java (2nd ed) by Joshua Bloch
What Every Programmer Should Know About Floating-Point Arithmetic
If you wanted String formatting instead of (or in addition to) strictly rounding numbers, see the other answers.
Specifically, note that round(200, 0) returns 200.0. If you want to output "200.00", you should first round and then format the result for output (which is perfectly explained in Jesper's answer).
If you just want to print a double with two digits after the decimal point, use something like this:
double value = 200.3456;
System.out.printf("Value: %.2f", value);
If you want to have the result in a String instead of being printed to the console, use String.format() with the same arguments:
String result = String.format("%.2f", value);
Or use class DecimalFormat:
DecimalFormat df = new DecimalFormat("####0.00");
System.out.println("Value: " + df.format(value));
I think this is easier:
double time = 200.3456;
DecimalFormat df = new DecimalFormat("#.##");
time = Double.valueOf(df.format(time));
System.out.println(time); // 200.35
Note that this will actually do the rounding for you, not just formatting.
The easiest way, would be to do a trick like this;
double val = ....;
val = val*100;
val = Math.round(val);
val = val /100;
if val starts at 200.3456 then it goes to 20034.56 then it gets rounded to 20035 then we divide it to get 200.34.
if you wanted to always round down we could always truncate by casting to an int:
double val = ....;
val = val*100;
val = (double)((int) val);
val = val /100;
This technique will work for most cases because for very large doubles (positive or negative) it may overflow. but if you know that your values will be in an appropriate range then this should work for you.
Please use Apache commons math:
Precision.round(10.4567, 2)
function Double round2(Double val) {
return new BigDecimal(val.toString()).setScale(2,RoundingMode.HALF_UP).doubleValue();
}
Note the toString()!!!!
This is because BigDecimal converts the exact binary form of the double!!!
These are the various suggested methods and their fail cases.
// Always Good!
new BigDecimal(val.toString()).setScale(2,RoundingMode.HALF_UP).doubleValue()
Double val = 260.775d; //EXPECTED 260.78
260.77 - WRONG - new BigDecimal(val).setScale(2,RoundingMode.HALF_UP).doubleValue()
Double val = 260.775d; //EXPECTED 260.78
260.77 - TRY AGAIN - Math.round(val * 100.d) / 100.0d
Double val = 256.025d; //EXPECTED 256.03d
256.02 - OOPS - new DecimalFormat("0.00").format(val)
// By default use half even, works if you change mode to half_up
Double val = 256.025d; //EXPECTED 256.03d
256.02 - FAIL - (int)(val * 100 + 0.5) / 100.0;
double value= 200.3456;
DecimalFormat df = new DecimalFormat("0.00");
System.out.println(df.format(value));
If you really want the same double, but rounded in the way you want you can use BigDecimal, for example
new BigDecimal(myValue).setScale(2, RoundingMode.HALF_UP).doubleValue();
double d = 28786.079999999998;
String str = String.format("%1.2f", d);
d = Double.valueOf(str);
For two rounding digits. Very simple and you are basically updating the variable instead of just display purposes which DecimalFormat does.
x = Math.floor(x * 100) / 100;
Rounding a double is usually not what one wants. Instead, use String.format() to represent it in the desired format.
In your question, it seems that you want to avoid rounding the numbers as well? I think .format() will round the numbers using half-up, afaik?
so if you want to round, 200.3456 should be 200.35 for a precision of 2. but in your case, if you just want the first 2 and then discard the rest?
You could multiply it by 100 and then cast to an int (or taking the floor of the number), before dividing by 100 again.
200.3456 * 100 = 20034.56;
(int) 20034.56 = 20034;
20034/100.0 = 200.34;
You might have issues with really really big numbers close to the boundary though. In which case converting to a string and substring'ing it would work just as easily.
value = (int)(value * 100 + 0.5) / 100.0;

Division and Modulo-Division of a double value to get integer value as the result [duplicate]

I need to cast a double to an int in Java, but the numerical value must always round down. i.e. 99.99999999 -> 99
Casting to an int implicitly drops any decimal. No need to call Math.floor() (assuming positive numbers)
Simply typecast with (int), e.g.:
System.out.println((int)(99.9999)); // Prints 99
This being said, it does have a different behavior from Math.floor which rounds towards negative infinity (#Chris Wong)
To cast a double to an int and have it be rounded to the nearest integer (i.e. unlike the typical (int)(1.8) and (int)(1.2), which will both "round down" towards 0 and return 1), simply add 0.5 to the double that you will typecast to an int.
For example, if we have
double a = 1.2;
double b = 1.8;
Then the following typecasting expressions for x and y and will return the rounded-down values (x = 1 and y = 1):
int x = (int)(a); // This equals (int)(1.2) --> 1
int y = (int)(b); // This equals (int)(1.8) --> 1
But by adding 0.5 to each, we will obtain the rounded-to-closest-integer result that we may desire in some cases (x = 1 and y = 2):
int x = (int)(a + 0.5); // This equals (int)(1.8) --> 1
int y = (int)(b + 0.5); // This equals (int)(2.3) --> 2
As a small note, this method also allows you to control the threshold at which the double is rounded up or down upon (int) typecasting.
(int)(a + 0.8);
to typecast. This will only round up to (int)a + 1 whenever the decimal values are greater than or equal to 0.2. That is, by adding 0.8 to the double immediately before typecasting, 10.15 and 10.03 will be rounded down to 10 upon (int) typecasting, but 10.23 and 10.7 will be rounded up to 11.
(int)99.99999
It will be 99.
Casting a double to an int does not round, it'll discard the fraction part.
Math.floor(n)
where n is a double. This'll actually return a double, it seems, so make sure that you typecast it after.
This works fine int i = (int) dbl;
new Double(99.9999).intValue()
try with this, This is simple
double x= 20.22889909008;
int a = (int) x;
this will return a=20
or try with this:-
Double x = 20.22889909008;
Integer a = x.intValue();
this will return a=20
or try with this:-
double x= 20.22889909008;
System.out.println("===="+(int)x);
this will return ===20
may be these code will help you.
Try using Math.floor.
In this question:
1.Casting double to integer is very easy task.
2.But it's not rounding double value to the nearest decimal. Therefore casting can be done like this:
double d=99.99999999;
int i=(int)d;
System.out.println(i);
and it will print 99, but rounding hasn't been done.
Thus for rounding we can use,
double d=99.99999999;
System.out.println( Math.round(d));
This will print the output of 100.

How to round without Math#round?

So it's easy to round the tenths place with just doing something like:
int y;
double x = 2.5;
y = (int) (x+.5);
but how would you go about rounding to the hundredths or even thousands place without using Math.round()?
You can multiply the original number by a power of 10 so that the desired place to round is in the unit's place, apply the "add half and round" method you already have, then divide the same power of 10, so the resulting number is now back to the original scale.
For hundredths:
Declare y to be a double. This is so that rounding 2.125 to the hundredths' place will result in 2.13, not 2.
Multiply the x value by 100.0.
Add 0.5.
Cast to int. (Or long for more precision.)
Divide by 100.0.
Ex.: Rounding 2.125 to the hundredths' place.
1. 2.125 * 100.0 is 212.5.
2. 212.5 + 0.5 is 213.0.
3. 213.0 cast to int is 213.
4. 213 divided by 100.0 is 2.13.
For thousandths, the procedure is the same, except that 100.0 is replaced by 1000.0.
The above method is subject to floating-point errors due to the finite precision of the double floating-point type.
You can also convert your value to a BigDecimal. Then you can use BigDecimal's round method. It takes a MathContext that allows you directly to round to the desired precision.
public class Decimal {
public static void main(String[] args) {
double xd = 2.125;
double mult = xd * 100.0;
double add = mult + 0.5;
int reuslts = (int) add;
double result = reuslts / 100.0;
System.out.println(result);// 2.13
}
}

Rounding UP double values in java based on parameters

I have the following scenario , let us assume 125,250,500 are rounding parameter based on which we have to do rounding.
when the rounding parameter is 125 then I need to round off to 1/8 th dollar,
ie, value = 10.01 then it should return 10.125
value = 110.2 then it should return 110.250
when the rounding parameter is 250 then I need to round off to quarter dollar,
ie, value = 10.01 then it should return 10.250
value = 110.3 then it should return 110.500
when the rounding parameter is 500 then I need to round off to half dollar,
ie, value = 10.01 then it should return 10.500
value = 110.6 then it should return 111.
I have written code using Math.round(8f * value/8f) which rounds of to nearest 1/8 th dollar but the rounding should be UP always but in my case 10.01 rounds off to 10
First off, you're not rounding, you're doing a ceiling.
This code does what you want:
Math.ceil(n * 1000 / factor) * factor / 1000;
Here is the code bundled as a method:
public static double ceil(double n, int factor) {
return Math.ceil(n * 1000 / factor) * factor / 1000;
}
Note that no casting is required, because in java arithemtic if one of the operands is double, the others are automatically (and safely) widened to double too.
I have written code using Math.round(8f * value/8f) which rounds of to nearest 1/8 th dollar
No it doesn't. It rounds to the nearest integer.
Try for example Math.round(((8f+1/8f) * value))/8f.
Break it down to manageable steps, no value trying to do it on one line. So:
How many 1/8th dollars are there in value?
float dollar8ths = value * 8f;
Round that up:
int dollar8thsRoundedUp = (int) Math.ceil(dollar8ths);
Finally, put back into dollars:
float dollars = dollar8thsRoundedUp / 8f;
This should do what you want:
double myRound(double val, int param)
{
val = 1000 * val / param;
val = Math.ceil(val);
return val * param / 1000;
}
e.g.:
System.out.println(myRound(10.01, 125));
gives
10.125

Round a double to 2 decimal places [duplicate]

This question already has answers here:
How to round a number to n decimal places in Java
(39 answers)
Closed 8 years ago.
If the value is 200.3456, it should be formatted to 200.34.
If it is 200, then it should be 200.00.
Here's an utility that rounds (instead of truncating) a double to specified number of decimal places.
For example:
round(200.3456, 2); // returns 200.35
Original version; watch out with this
public static double round(double value, int places) {
if (places < 0) throw new IllegalArgumentException();
long factor = (long) Math.pow(10, places);
value = value * factor;
long tmp = Math.round(value);
return (double) tmp / factor;
}
This breaks down badly in corner cases with either a very high number of decimal places (e.g. round(1000.0d, 17)) or large integer part (e.g. round(90080070060.1d, 9)). Thanks to Sloin for pointing this out.
I've been using the above to round "not-too-big" doubles to 2 or 3 decimal places happily for years (for example to clean up time in seconds for logging purposes: 27.987654321987 -> 27.99). But I guess it's best to avoid it, since more reliable ways are readily available, with cleaner code too.
So, use this instead
(Adapted from this answer by Louis Wasserman and this one by Sean Owen.)
public static double round(double value, int places) {
if (places < 0) throw new IllegalArgumentException();
BigDecimal bd = BigDecimal.valueOf(value);
bd = bd.setScale(places, RoundingMode.HALF_UP);
return bd.doubleValue();
}
Note that HALF_UP is the rounding mode "commonly taught at school". Peruse the RoundingMode documentation, if you suspect you need something else such as Bankers’ Rounding.
Of course, if you prefer, you can inline the above into a one-liner:
new BigDecimal(value).setScale(places, RoundingMode.HALF_UP).doubleValue()
And in every case
Always remember that floating point representations using float and double are inexact.
For example, consider these expressions:
999199.1231231235 == 999199.1231231236 // true
1.03 - 0.41 // 0.6200000000000001
For exactness, you want to use BigDecimal. And while at it, use the constructor that takes a String, never the one taking double. For instance, try executing this:
System.out.println(new BigDecimal(1.03).subtract(new BigDecimal(0.41)));
System.out.println(new BigDecimal("1.03").subtract(new BigDecimal("0.41")));
Some excellent further reading on the topic:
Item 48: "Avoid float and double if exact answers are required" in Effective Java (2nd ed) by Joshua Bloch
What Every Programmer Should Know About Floating-Point Arithmetic
If you wanted String formatting instead of (or in addition to) strictly rounding numbers, see the other answers.
Specifically, note that round(200, 0) returns 200.0. If you want to output "200.00", you should first round and then format the result for output (which is perfectly explained in Jesper's answer).
If you just want to print a double with two digits after the decimal point, use something like this:
double value = 200.3456;
System.out.printf("Value: %.2f", value);
If you want to have the result in a String instead of being printed to the console, use String.format() with the same arguments:
String result = String.format("%.2f", value);
Or use class DecimalFormat:
DecimalFormat df = new DecimalFormat("####0.00");
System.out.println("Value: " + df.format(value));
I think this is easier:
double time = 200.3456;
DecimalFormat df = new DecimalFormat("#.##");
time = Double.valueOf(df.format(time));
System.out.println(time); // 200.35
Note that this will actually do the rounding for you, not just formatting.
The easiest way, would be to do a trick like this;
double val = ....;
val = val*100;
val = Math.round(val);
val = val /100;
if val starts at 200.3456 then it goes to 20034.56 then it gets rounded to 20035 then we divide it to get 200.34.
if you wanted to always round down we could always truncate by casting to an int:
double val = ....;
val = val*100;
val = (double)((int) val);
val = val /100;
This technique will work for most cases because for very large doubles (positive or negative) it may overflow. but if you know that your values will be in an appropriate range then this should work for you.
Please use Apache commons math:
Precision.round(10.4567, 2)
function Double round2(Double val) {
return new BigDecimal(val.toString()).setScale(2,RoundingMode.HALF_UP).doubleValue();
}
Note the toString()!!!!
This is because BigDecimal converts the exact binary form of the double!!!
These are the various suggested methods and their fail cases.
// Always Good!
new BigDecimal(val.toString()).setScale(2,RoundingMode.HALF_UP).doubleValue()
Double val = 260.775d; //EXPECTED 260.78
260.77 - WRONG - new BigDecimal(val).setScale(2,RoundingMode.HALF_UP).doubleValue()
Double val = 260.775d; //EXPECTED 260.78
260.77 - TRY AGAIN - Math.round(val * 100.d) / 100.0d
Double val = 256.025d; //EXPECTED 256.03d
256.02 - OOPS - new DecimalFormat("0.00").format(val)
// By default use half even, works if you change mode to half_up
Double val = 256.025d; //EXPECTED 256.03d
256.02 - FAIL - (int)(val * 100 + 0.5) / 100.0;
double value= 200.3456;
DecimalFormat df = new DecimalFormat("0.00");
System.out.println(df.format(value));
If you really want the same double, but rounded in the way you want you can use BigDecimal, for example
new BigDecimal(myValue).setScale(2, RoundingMode.HALF_UP).doubleValue();
double d = 28786.079999999998;
String str = String.format("%1.2f", d);
d = Double.valueOf(str);
For two rounding digits. Very simple and you are basically updating the variable instead of just display purposes which DecimalFormat does.
x = Math.floor(x * 100) / 100;
Rounding a double is usually not what one wants. Instead, use String.format() to represent it in the desired format.
In your question, it seems that you want to avoid rounding the numbers as well? I think .format() will round the numbers using half-up, afaik?
so if you want to round, 200.3456 should be 200.35 for a precision of 2. but in your case, if you just want the first 2 and then discard the rest?
You could multiply it by 100 and then cast to an int (or taking the floor of the number), before dividing by 100 again.
200.3456 * 100 = 20034.56;
(int) 20034.56 = 20034;
20034/100.0 = 200.34;
You might have issues with really really big numbers close to the boundary though. In which case converting to a string and substring'ing it would work just as easily.
value = (int)(value * 100 + 0.5) / 100.0;

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