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Posted to issues@commons.apache.org by "Axel Kramer (JIRA)" <ji...@apache.org> on 2010/08/05 18:39:18 UTC

[jira] Created: (MATH-402) Complex.ZERO.pow(Complex.ONE) gives NaN in unit tests

Complex.ZERO.pow(Complex.ONE) gives NaN in unit tests
-----------------------------------------------------

                 Key: MATH-402
                 URL: https://issues.apache.org/jira/browse/MATH-402
             Project: Commons Math
          Issue Type: Bug
    Affects Versions: 2.2
         Environment: Issue 15 http://code.google.com/p/symja/issues/detail?id=15
            Reporter: Axel Kramer


Why does this unit test in ComplexTest.java gives NaN?
I expected to get Complex.ZERO as the result?

{code:java} 
   public void testPowZero() {
       TestUtils.assertSame(Complex.NaN,
               Complex.ZERO.pow(Complex.ONE));
...
   }
{code} 

I would suggest something like this for the Complex#pow() method:
{code:java} 
    public Complex pow(Complex x) {
        if (x == null) {
            throw new NullPointerException();
        }
        if (x.imaginary == 0.0) {
          if (real == 0.0 && imaginary == 0.0) {
            if (x.real == 0.0){      	
            	return Complex.ZERO;
            }
          }
          if (x.real == 1.0) {
          	return this;
          }
        }
        return this.log().multiply(x).exp();
    }
{code} 
 

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[jira] Updated: (MATH-402) Complex.ZERO.pow(Complex.ONE) gives NaN in unit tests

Posted by "Phil Steitz (JIRA)" <ji...@apache.org>.
     [ https://issues.apache.org/jira/browse/MATH-402?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel ]

Phil Steitz updated MATH-402:
-----------------------------

        Fix Version/s: 2.2
    Affects Version/s: 2.1
                       2.0
                       1.2
                           (was: 2.2)

> Complex.ZERO.pow(Complex.ONE) gives NaN in unit tests
> -----------------------------------------------------
>
>                 Key: MATH-402
>                 URL: https://issues.apache.org/jira/browse/MATH-402
>             Project: Commons Math
>          Issue Type: Bug
>    Affects Versions: 1.2, 2.0, 2.1
>         Environment: Issue 15 http://code.google.com/p/symja/issues/detail?id=15
>            Reporter: Axel Kramer
>             Fix For: 2.2
>
>
> Why does this unit test in ComplexTest.java gives NaN?
> I expected to get Complex.ZERO as the result?
> {code:java} 
>    public void testPowZero() {
>        TestUtils.assertSame(Complex.NaN,
>                Complex.ZERO.pow(Complex.ONE));
> ...
>    }
> {code} 
> I would suggest something like this for the Complex#pow() method:
> {code:java} 
>     public Complex pow(Complex x) {
>         if (x == null) {
>             throw new NullPointerException();
>         }
>         if (x.imaginary == 0.0) {
>           if (real == 0.0 && imaginary == 0.0) {
>             if (x.real == 0.0){      	
>             	return Complex.ZERO;
>             }
>           }
>           if (x.real == 1.0) {
>           	return this;
>           }
>         }
>         return this.log().multiply(x).exp();
>     }
> {code} 
>  

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[jira] Commented: (MATH-402) Complex.ZERO.pow(Complex.ONE) gives NaN in unit tests

Posted by "Phil Steitz (JIRA)" <ji...@apache.org>.
    [ https://issues.apache.org/jira/browse/MATH-402?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=12896344#action_12896344 ] 

Phil Steitz commented on MATH-402:
----------------------------------

Thanks for reporting this. If we do make the suggested change, we need to change the formulas in the javadoc to reflect the changed definition.  The value returned is a consequence of how we have defined complex exponentiation, which is spelled out in the javadoc for pow, exp and log.   I am open to changing the definition, but we should make sure that the javadoc is modified to reflect whatever change we make.  Interested in what others think the definition should be.

> Complex.ZERO.pow(Complex.ONE) gives NaN in unit tests
> -----------------------------------------------------
>
>                 Key: MATH-402
>                 URL: https://issues.apache.org/jira/browse/MATH-402
>             Project: Commons Math
>          Issue Type: Bug
>    Affects Versions: 2.2
>         Environment: Issue 15 http://code.google.com/p/symja/issues/detail?id=15
>            Reporter: Axel Kramer
>
> Why does this unit test in ComplexTest.java gives NaN?
> I expected to get Complex.ZERO as the result?
> {code:java} 
>    public void testPowZero() {
>        TestUtils.assertSame(Complex.NaN,
>                Complex.ZERO.pow(Complex.ONE));
> ...
>    }
> {code} 
> I would suggest something like this for the Complex#pow() method:
> {code:java} 
>     public Complex pow(Complex x) {
>         if (x == null) {
>             throw new NullPointerException();
>         }
>         if (x.imaginary == 0.0) {
>           if (real == 0.0 && imaginary == 0.0) {
>             if (x.real == 0.0){      	
>             	return Complex.ZERO;
>             }
>           }
>           if (x.real == 1.0) {
>           	return this;
>           }
>         }
>         return this.log().multiply(x).exp();
>     }
> {code} 
>  

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[jira] Commented: (MATH-402) Complex.ZERO.pow(Complex.ONE) gives NaN in unit tests

Posted by "Axel Kramer (JIRA)" <ji...@apache.org>.
    [ https://issues.apache.org/jira/browse/MATH-402?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=12896247#action_12896247 ] 

Axel Kramer commented on MATH-402:
----------------------------------

Sorry for my stupid suggestion in the first post.

It should be something like this:
{code:java}
	public Complex pow(Complex x) {
		if (x == null) {
			throw new NullPointerException();
		}
		if (x.real == 0.0 && x.imaginary == 0.0) {
			if (real == 0.0 && imaginary == 0.0) {
				// 0^0 => NaN
				return Complex.NaN;
			}
			// THIS^0 => 1 for THIS<>0
			return Complex.ONE;
		}
		if (real == 0.0 && imaginary == 0.0) {
			// 0^x => 0 for x<>0
			return Complex.ZERO;
		}
		return this.log().multiply(x).exp();
	}
{code}

> Complex.ZERO.pow(Complex.ONE) gives NaN in unit tests
> -----------------------------------------------------
>
>                 Key: MATH-402
>                 URL: https://issues.apache.org/jira/browse/MATH-402
>             Project: Commons Math
>          Issue Type: Bug
>    Affects Versions: 2.2
>         Environment: Issue 15 http://code.google.com/p/symja/issues/detail?id=15
>            Reporter: Axel Kramer
>
> Why does this unit test in ComplexTest.java gives NaN?
> I expected to get Complex.ZERO as the result?
> {code:java} 
>    public void testPowZero() {
>        TestUtils.assertSame(Complex.NaN,
>                Complex.ZERO.pow(Complex.ONE));
> ...
>    }
> {code} 
> I would suggest something like this for the Complex#pow() method:
> {code:java} 
>     public Complex pow(Complex x) {
>         if (x == null) {
>             throw new NullPointerException();
>         }
>         if (x.imaginary == 0.0) {
>           if (real == 0.0 && imaginary == 0.0) {
>             if (x.real == 0.0){      	
>             	return Complex.ZERO;
>             }
>           }
>           if (x.real == 1.0) {
>           	return this;
>           }
>         }
>         return this.log().multiply(x).exp();
>     }
> {code} 
>  

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[jira] Commented: (MATH-402) Complex.ZERO.pow(Complex.ONE) gives NaN in unit tests

Posted by "Phil Steitz (JIRA)" <ji...@apache.org>.
    [ https://issues.apache.org/jira/browse/MATH-402?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=12896366#action_12896366 ] 

Phil Steitz commented on MATH-402:
----------------------------------

The latest draft ISO C spec appears now to be public and is here:
http://www.open-std.org/jtc1/sc22/wg14/www/docs/n1494.pdf
The complex specifications are in Annex G.  Does not look like anything has changed since C99x, though I have not done side-by-side comparisons.  It looks to me like what we have in the code now matches the spec; but the spec does not specifically call out (unless I missed it) specialization to real arguments.  What is causing the NaN is the singularity in the log function.   Colt 1.1 looks like it matches our code.  R returns  0 + 0i.


> Complex.ZERO.pow(Complex.ONE) gives NaN in unit tests
> -----------------------------------------------------
>
>                 Key: MATH-402
>                 URL: https://issues.apache.org/jira/browse/MATH-402
>             Project: Commons Math
>          Issue Type: Bug
>    Affects Versions: 2.2
>         Environment: Issue 15 http://code.google.com/p/symja/issues/detail?id=15
>            Reporter: Axel Kramer
>
> Why does this unit test in ComplexTest.java gives NaN?
> I expected to get Complex.ZERO as the result?
> {code:java} 
>    public void testPowZero() {
>        TestUtils.assertSame(Complex.NaN,
>                Complex.ZERO.pow(Complex.ONE));
> ...
>    }
> {code} 
> I would suggest something like this for the Complex#pow() method:
> {code:java} 
>     public Complex pow(Complex x) {
>         if (x == null) {
>             throw new NullPointerException();
>         }
>         if (x.imaginary == 0.0) {
>           if (real == 0.0 && imaginary == 0.0) {
>             if (x.real == 0.0){      	
>             	return Complex.ZERO;
>             }
>           }
>           if (x.real == 1.0) {
>           	return this;
>           }
>         }
>         return this.log().multiply(x).exp();
>     }
> {code} 
>  

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[jira] Commented: (MATH-402) Complex.ZERO.pow(Complex.ONE) gives NaN in unit tests

Posted by "Luc Maisonobe (JIRA)" <ji...@apache.org>.
    [ https://issues.apache.org/jira/browse/MATH-402?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=12896345#action_12896345 ] 

Luc Maisonobe commented on MATH-402:
------------------------------------

I know we do not follow C99 in many aspects, but what does C99 standard say about this specific topic ?

> Complex.ZERO.pow(Complex.ONE) gives NaN in unit tests
> -----------------------------------------------------
>
>                 Key: MATH-402
>                 URL: https://issues.apache.org/jira/browse/MATH-402
>             Project: Commons Math
>          Issue Type: Bug
>    Affects Versions: 2.2
>         Environment: Issue 15 http://code.google.com/p/symja/issues/detail?id=15
>            Reporter: Axel Kramer
>
> Why does this unit test in ComplexTest.java gives NaN?
> I expected to get Complex.ZERO as the result?
> {code:java} 
>    public void testPowZero() {
>        TestUtils.assertSame(Complex.NaN,
>                Complex.ZERO.pow(Complex.ONE));
> ...
>    }
> {code} 
> I would suggest something like this for the Complex#pow() method:
> {code:java} 
>     public Complex pow(Complex x) {
>         if (x == null) {
>             throw new NullPointerException();
>         }
>         if (x.imaginary == 0.0) {
>           if (real == 0.0 && imaginary == 0.0) {
>             if (x.real == 0.0){      	
>             	return Complex.ZERO;
>             }
>           }
>           if (x.real == 1.0) {
>           	return this;
>           }
>         }
>         return this.log().multiply(x).exp();
>     }
> {code} 
>  

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