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Java class that represents a fraction as a ratio of two BigIntegers, reduced to lowest terms.

License: Other

Java 100.00%

fraction java math

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sylvia43 catuin riquerezende roastario ajadoaduragbemi namespaceycz msherrington bluheir rjsdevel wilddkwetmk2667 wayne-zhang rene98

bigfraction's Issues

github description bug, feature question, and request

It says on the main github page that the java7 branch compiles in Java 7 and also java 5-6. This is in fact not the case, as the Long.compare() method used by the LongFraction class does not exist before java 7. I often use the BigFraction class in Java 6, so it would be nice if it worked in that version.

I also noticed a lot of new features added. I noticed the roundToDenominator() method, however you can extend this to any value using round(x,m)=round(x/m)*m. m here is the increment to which you are rounding, and the single argument round() function rounds to integral value.

Another question I have is regarding the () syntax for repeating digits. Even though the parsers never handle it this way, I think a syntax like 0.1(6) is confusing, as it could be interpreted as 0.16... or 0.6. Is there a better syntax? Or do you think () is the best option?

Double representation

Hi,

For the double representation issue, as it's specified in the javadoc,
System.out.println(BigFraction.valueOf(1.1)) will return 2476979795053773/2251799813685248

But if the following snippet is used :
System.out.println(BigFraction.valueOf(1.1+""));
It will return : 11/10

So is there a reason not to convert a Number in a String before initializing the fraction ? It seems to me that it's solving this problem.

By the way, thanks for the amazing job you've done here !

Laurent

Adding toString methods with radix argument

Just a quick little feature I thought I'd suggest. Much like BigInteger has a toString(radix) option, you could add a radix argument to your toString methods. That way fractions could be expressed in arbitrary bases. 57/11, for example, could be expressed in binary as 111001/1011, for example.

Implementing this for the default toString() methods should be trivial. toMixedString() shouldn't be that difficult either. toDecimalString() might be a little harder, but I'm sure it can be done.

Duplicate method, missing method, and method efficiency

I took a look again at your methods recently, and besides the modulo optimizations, I noticed a few things:

the integralQuotient method is identical to the divideToIntegralValue method. Why have both?
Greatest common factor (or greatest common divisor) is a function I use quite often. It is found in BigInteger but does not exist in BigFraction. A method for it could be easily written as for simplest form fractions, gcf(a/b,c/d)=gcf(a,c)/lcm(b,d)
Speaking of gcfs, I noticed that in the pow method, it returns reduced fractions, even though if a fraction a/b is already in simplest form, (a/b)^n is also in simplest form and needs no reduction. Why does the pow method need to reduce?

Keep up the good work!

Questions, bugs, and feature requests

Hello,

I love your fraction class. It's probably the most detailed class out there, with the most functions of anything I could find on the Internet. I wasn't sure how else to contact you, and since I didn't want to throw a plethora of GitHub issues at you, I decided to use this issue. Anyway, I hope I am communicating this right and I hope to hear from you soon. Here are the questions:

Questions:

Why doesn't the toString method omit the denominator if it is equal to 1? I don't see much of a point including it.
Why are there no public constructors? Why must we use the valueOf method? From looking at the code, there is only one constructor with three parameters. The ValueOf method only takes one or two parameters; why not have constructors that do the same?

Feature Requests:

Why not add remainder and divideAndRemainder methods? They're incredibly useful, and easy to code in. Heck, I even whipped up a class containing some (static) methods that do just that (of course, these would be nonstatic in an actual implementation, and they'd probably have better names).

import com.github.kiprobinson.util.BigFraction;
public class BigFractionRemainderMethods{
  //calculates the quotient of x and y, rounded down to the nearest integer, and returns it as a BigFraction. Mathematically equal to floor(x/y)
      private static BigFraction floorDivision(BigFraction x,BigFraction y) {
        BigFraction r = BigFraction.valueOf((x.divide(y)).getIntegerPart());
        if ((x.signum()^y.signum())<0&&((r.multiply(y)).compareTo(x)!=0)){
            r=r.subtract(BigFraction.ONE);
        }
        return r;
    }
      //calculates the proper remainder of x and y, mathematically equal to x-floor(x/y)*y
  public static BigFraction properMod(BigFraction x,BigFraction y){
    return x.subtract(floorDivision(x,y).multiply(y));
  }
      //calculates the proper Euclidian remainder of x and y, mathematically equal to x-floor(x/abs(y))*abs(y)
  public static BigFraction properEuclidianMod(BigFraction x,BigFraction y){
     return x.subtract(floorDivision(x,y.abs()).multiply(y.abs()));
  }
  //calculates the remainder of x and y consistent with the % operator. Equal to x%y , mathematically equal to x-truncate(x/y)*y
  public static BigFraction remainder(BigFraction x,BigFraction y){
    return x.subtract(BigFraction.valueOf((x.divide(y)).getIntegerPart()).multiply(y));
  } 
  //returns a BigFraction[] with the first element equal to floorDivision(x,y) and the second element equal to properMod(x,y)
  public static BigFraction[] properDivMod(BigFraction x,BigFraction y){
     BigFraction[] r=new BigFraction[2];
     r[0]=floorDivision(x,y);
     r[1]= x.subtract(r[0].multiply(y));
     return r;
  }
  //returns a BigFraction[] with the first element equal to floorDivision(x,y.abs()).multiply(y.signum()) and the second element equal to properEuclidianMod(x,y)
  public static BigFraction[] properEuclidianDivMod(BigFraction x,BigFraction y){
     BigFraction[] r=new BigFraction[2];
     r[0]=floorDivision(x,y.abs()).multiply(y.signum());
     r[1]= x.subtract(r[0].multiply(y));
     return r;
  }
  //returns a BigFraction[] with the first element equal to (x.divide(y)).getIntegerPart() and the second element equal to remainder(x,y)
  public static BigFraction[] divideAndRemainder(BigFraction x,BigFraction y){
     BigFraction[] r=new BigFraction[2];
     r[0]=BigFraction.valueOf((x.divide(y)).getIntegerPart());
     r[1]= x.subtract(r[0].multiply(y));
     return r;
  }
  public static void main(String[] args){
  }
}

Bugs:

The class does not seem to want to make a javadoc. When I tried, I got these errors:

9 errors and 73 warnings found:
--------------
*** Errors ***
--------------
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 98]
Error: error: reference not found
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 125]
Error: error: reference not found
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 259]
Error: error: reference not found
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 279]
Error: error: reference not found
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 311]
Error: error: reference not found
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 311]
Error: error: bad HTML entity
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 311]
Error: error: bad HTML entity
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 311]
Error: error: malformed HTML
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 331]
Error: error: reference not found
--------------
** Warnings **
--------------
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 63]
Warning: warning: no @param for n
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 63]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 100]
Warning: warning: no @param for numerator
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 100]
Warning: warning: no @param for denominator
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 100]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 127]
Warning: warning: no @param for s
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 127]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 145]
Warning: warning: no @param for n
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 145]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 170]
Warning: warning: no @param for a
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 170]
Warning: warning: no @param for b
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 170]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 178]
Warning: warning: no @param for n
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 178]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 203]
Warning: warning: no @param for n
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 203]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 228]
Warning: warning: no @param for a
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 228]
Warning: warning: no @param for b
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 228]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 236]
Warning: warning: no @param for n
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 236]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 251]
Warning: warning: no @param for a
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 251]
Warning: warning: no @param for b
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 251]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 261]
Warning: warning: no @param for n
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 261]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 281]
Warning: warning: no @param for n
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 281]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 299]
Warning: warning: no @param for a
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 299]
Warning: warning: no @param for b
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 299]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 313]
Warning: warning: no @param for exponent
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 313]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 333]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 345]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 354]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 362]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 370]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 380]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 391]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 403]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 414]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 426]
Warning: warning: no @param for roundingMode
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 426]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 532]
Warning: warning: no @param for newDenominator
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 547]
Warning: warning: no @param for newDenominator
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 547]
Warning: warning: no @param for roundingMode
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 578]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 596]
Warning: warning: no @param for numDecimalDigits
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 596]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 610]
Warning: warning: no description for @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 682]
Warning: warning: no @param for n
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 682]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 730]
Warning: warning: no @param for maxDenominator
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 730]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 744]
Warning: warning: no @param for maxDenominator
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 744]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 755]
Warning: warning: no @param for maxDenominator
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 755]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 848]
Warning: warning: no @param for n
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 848]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 859]
Warning: warning: no @param for n
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 859]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 872]
Warning: warning: no @param for f
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 872]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 888]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 955]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 986]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 1013]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 1040]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 1067]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 1095]
Warning: warning: no @return
File: /Users/elygolden/Documents/Local Docs/Acquired Codestuffs/Packages/BigFraction-master/src/com/github/kiprobinson/util/BigFraction.java  [line: 1131]
Warning: warning: no @return

A little problem parsing double values.

I checked the IEEE754 standard and found that there's a special case you didn't concerned.
That is, when the exponent bits are zeros and the mantissa is non-zero, the standard treats exponent as, for double as an example, -1022(instead of ~~-1023~~, just plus 1), and the number is (-1)^sign * 2^exponent * 0.mantissa(instead of 1.mantissa).
So your code made different numbers. Hope you can fix it soon.

An example:

System.out.println(BigFraction.valueOf(Double.longBitsToDouble(0x0000000000000001L)).doubleValue());
System.out.println(Double.longBitsToDouble(0x0000000000000001L));

The first outputs:
1.112536929253601E-308
but the second outputs:
4.9E-324

Here is a tool can do the conversion: http://www.binaryconvert.com/convert_double.html

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