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https://issues.apache.org/jira/browse/MATH-221?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel
 ]

Dieter Roth updated MATH-221:
-----------------------------

    Description: 
Hi.

The bug relates on complex numbers.
The methods "multiply" and "equals" of the class Complex are involved.

mathematic background:  (0,i) * (-1,0i) = (0,-i).

little java program + output that shows the bug:
-----------------------------------------------------------------------
import org.apache.commons.math.complex.*;
public class TestProg {
        public static void main(String[] args) {

                ComplexFormat f = new ComplexFormat();
                Complex c1 = new Complex(0,1);
                Complex c2 = new Complex(-1,0);
                
                Complex res = c1.multiply(c2);
                Complex comp = new Complex(0,-1);

                System.out.println("res:  "+f.format(res));
                System.out.println("comp: "+f.format(comp));
                
                System.out.println("res=comp: "+res.equals(comp));
        }
}
-----------------------------------------------------------------------
res:  -0 - 1i
comp: 0 - 1i
res=comp: false
-----------------------------------------------------------------------

I think the problem could be "multiply" method that gives (-0,-1i) instead of 
(0,-1i).
Or if you think thats right, the equals method has to be modified.

Good Luck
Dieter

  was:
Hi.

The bug relates on complex numbers.
The methods "multiply" and "equals" of the class Complex are involved.

mathematic background:  (0,i) * (-1,0i) = (0,-i).

little java program + output that shows the bug:
-----------------------------------------------------------------------
import org.apache.commons.math.complex.*;
public class TestProg {
        public static void main(String[] args) {

                ComplexFormat f = new ComplexFormat();
                Complex c1 = new Complex(0,1);
                Complex c2 = new Complex(-1,0);
        
                Complex res = c1.multiply(c2);
                Complex comp = new Complex(0,-1);

                System.out.println("res:  "+f.format(res));
                System.out.println("comp: "+f.format(comp));

                System.out.println("res=comp: "+res.equals(comp));
        }
}
-----------------------------------------------------------------------
res:  -0 - 1i
comp: 0 - 1i
res=comp: false

-----------------------------------------------------------------------

I think the problem could be "multiply" method that gives (-0,-1i) instead of 
(0,-1i).
Or if you think thats right, the equals method has to be modified.

Good Luck
Dieter


> Result of multiplying and equals for complex numbers is wrong
> -------------------------------------------------------------
>
>                 Key: MATH-221
>                 URL: https://issues.apache.org/jira/browse/MATH-221
>             Project: Commons Math
>          Issue Type: Bug
>    Affects Versions: 1.2
>         Environment: OS: Debian lenny
> IDE: Version: 3.4.0; Build id: I20080617-2000
> java.runtime.version=1.6.0_04-b12
> java.vendor.url=http://java.sun.com/
>            Reporter: Dieter Roth
>            Priority: Minor
>
> Hi.
> The bug relates on complex numbers.
> The methods "multiply" and "equals" of the class Complex are involved.
> mathematic background:  (0,i) * (-1,0i) = (0,-i).
> little java program + output that shows the bug:
> -----------------------------------------------------------------------
> import org.apache.commons.math.complex.*;
> public class TestProg {
>       public static void main(String[] args) {
>               ComplexFormat f = new ComplexFormat();
>               Complex c1 = new Complex(0,1);
>               Complex c2 = new Complex(-1,0);
>               
>               Complex res = c1.multiply(c2);
>               Complex comp = new Complex(0,-1);
>               System.out.println("res:  "+f.format(res));
>               System.out.println("comp: "+f.format(comp));
>               
>               System.out.println("res=comp: "+res.equals(comp));
>       }
> }
> -----------------------------------------------------------------------
> res:  -0 - 1i
> comp: 0 - 1i
> res=comp: false
> -----------------------------------------------------------------------
> I think the problem could be "multiply" method that gives (-0,-1i) instead of 
> (0,-1i).
> Or if you think thats right, the equals method has to be modified.
> Good Luck
> Dieter

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