dividing bigdecimal containing bigger dividers than scale - java

I want to find a way to scale divisions of bigdecimals that can contain diverse numbers.
if I use this code:
r= x.divide(y,10, RoundingMode.HALF_UP);
the result of almost all results are correct, but if I have a divisor with more digits before point than the scale, the result is 0.0000000000.
What I have to do to obtain the correct precision on these divisions?
1 / 3 =0.3333333333 (scale 10)
1 / 151545545664651878 = 1.515455456646E-17 (for example)
100000000000000 / 3 = 3.3333333333E+14
thanks.

I found the way. It's realizing operations with mathcontext instead of scale.
It seems that MathContext constructor uses precission not scale.
with MathContext
MathContext mc = new MathContext(10, RoundingMode.HALF_UP);
BigDecimal r = x.divide(y, mc);
Log.i("mc","r = " + r);
with Scale
BigDecimal r = x.divide(y,10, RoundingMode.HALF_UP);
Log.i("scale","r = " + r);
If I realize this division :
1 / 3333333333333333333333333 =
The first output : 3.0000000000E-19
And the second output: 0E-10
So, set Scale to a big decimal seems the same of Scale in MathContext but it isn't.
I hope it could helps someone.

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;

Issue with rounding aftrer division of BigDecimal values. Java

I've got a problem with the result of division of BigDecimal instances.
My program:
public class DecimalPrecision
public static void main(String[] args) {
MathContext mathContext = new MathContext(25, RoundingMode.HALF_UP);
System.out.println(new BigDecimal("0.1111111111111111111111111").divide(new BigDecimal("3"), mathContext).toString());
}
The result is the following:
0.03703703703703703703703703
But the correct result is:
0.03703703703703703703703704
Basically my program rounded the last digit, which is 7, to 3, not to 4. Why is it so? In mathContext I specified rounding mode HALF_UP. Probably I've got a gap in knowlegde on the issue but I was sure that HALF_UP rounds to a bigger value.
This problem can be sorted out in the next way:
value1 = value1.divide(value2, 10000, RoundingMode.HALF_UP);
return new BigDecimal(value1.toString()).round(mathContext);
But in my taste there's something wrong with parsing the result to a String and then create new properly rounded BigDecimal. I'm asking for your help, how can I resolve this problem without resorting to any strings?
Thanks in advance.
You are starting with a 25 digit number and performing an operation with a precision of 25 digits so you can expect that the last digit might be wrong. The solution is to use more digits than you need and round the result.
BigDecimal oneNinth25 = BigDecimal.ONE.divide(BigDecimal.valueOf(9), 25, BigDecimal.ROUND_HALF_UP);
BigDecimal oneNinth26 = BigDecimal.ONE.divide(BigDecimal.valueOf(9), 26, BigDecimal.ROUND_HALF_UP);
MathContext mathContext = new MathContext(25, RoundingMode.HALF_UP);
System.out.println("1/9 to 25 digits / 3 = " +
oneNinth25.divide(BigDecimal.valueOf(3), mathContext));
System.out.println("1/9 to 26 digits / 3 = " +
oneNinth26.divide(BigDecimal.valueOf(3), mathContext));
prints
1/9 to 25 digits / 3 = 0.03703703703703703703703703
1/9 to 26 digits / 3 = 0.03703703703703703703703704

Possible loss of precision during conversion of float number

I have google on how to get 2 decimal for a float number in java. Below are my codes. Finally here float totalWeight = 0.1*levinWeight+0.8*lsmWeight; I get the error of possible loss of precision ? I would want to first covert the string into float and then have it to be 2 decimal places.
float levinWeight = Float.parseFloat(dataOnlyCombine[2]);
float lsmWeight = Float.parseFloat(dataOnlyCombine[3]);
DecimalFormat df = new DecimalFormat("#.##");
levinWeight = Float.valueOf(df.format(levinWeight));
lsmWeight = Float.valueOf(df.format(lsmWeight));
float totalWeight = 0.1*levinWeight+0.8*lsmWeight;
If you are concerned about precision
don't use float, it has the lowest precision of any option available. I suggest using double or BigDecimal
use operation which involve values which can be accurately represented. 0.1 * x will give you error because 0.1 cannot be represented precisely. Using x / 10.0 will have less error.
I would write something like this
double levinWeight = Double.parseDouble(dataOnlyCombine[2]);
double lsmWeight = Double.parseDouble(dataOnlyCombine[3]);
double totalWeight = (levinWeight + 8 * lsmWeight) / 10.0;
// perform rounding only at the end as appropriate.
// to round to two decimal places
double totalWeight2 = Math.round(totalWeight * 100) / 100.0;
float levinWeight = Float.parseFloat(dataOnlyCombine[2]);
float lsmWeight = Float.parseFloat(dataOnlyCombine[3]);
float totalWeight = 0.1*levinWeight+0.8*lsmWeight;
DecimalFormat df = new DecimalFormat("#.##");
String totalWeightValue = df.format(totalWeight);
If you really want to do it like that, then use BigDecimal. Those floating point classes are perfect for precision. Take a look at them:
http://voidexception.weebly.com/java-bigdecimal---dealing-with-high-precision-calculations.html
http://docs.oracle.com/javase/7/docs/api/java/math/BigDecimal.html
http://www.javaworld.com/article/2075315/core-java/make-cents-with-bigdecimal.html
Default IEEE 746 floating points will not suit your needs. Alternatively, you could use integers and thread them factor 100. So:
100 is equivalent to 1.00
452 is equivalent to 4.52
1 is equivalent to 0.01

How to round a number to within a certain range?

I have a value like this:
421.18834
And I have to round it mathematical correctly with a mask which can look like this:
0.05
0.04
0.1
For example, if the mask is 0.04, i have to get the value 421.20, because .18 is nearer at .20 than .16.
All functions that I found using Google didn't work.
Can you please help me?
double initial = 421.18834;
double range = 0.04;
int factor = Math.round(initial / range); // 10530 - will round to correct value
double result = factor * range; // 421.20
You don't need a special function. You multiply your original number by (1/mask), you round it to a decimal and you divide again by the same factor.
Example with 0.05
factor = 1/0.05 = 20
421.18834 * 20 = 8423.7668
int( 8423.7668 ) = 8424
8424.0 / 20.0 = 421.20
Example with 0.01
factor = 1/0.1 = 10
421.18834 * 10 = 4211.8834
int( 4211.8834 ) = 4212
4212.0 / 10.0 = 421.20
Contrary to all the answers you will probably get here about multiplying and dividing, you can't do this accurately because floating point doesn't have decimal places. To need to convert to a decimal radix and then round. BigDecimal does that.
Both fredley and Matteo make the assumption that the rounding factor is itself a factor of 100. For factors like 0.06 or 0.07, this is an incorrect assumption.
Here's my Java routine:
public double rounded(double number, double factor) {
long integer = (long) number;
double fraction = number - integer;
double multiple = (fraction / factor);
multiple = Math.round(multiple);
return factor * multiple + integer;
}

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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