RE: Q: Union and precision.
- To: mathgroup at smc.vnet.net
- Subject: [mg8548] RE: [mg8529] Q: Union and precision.
- From: Ersek_Ted%PAX1A at mr.nawcad.navy.mil
- Date: Sat, 6 Sep 1997 23:16:15 -0400
- Sender: owner-wri-mathgroup at wolfram.com
Oron wrote:
|
|How can I force Union to consider numbers equal in the current
|precision as equal? Explanation:
|
|In:= a=SetPrecision[1.234567,2]
|Out:= 1.2
|
|In:= b=SetPrecision[1.234561,2] (* Notice difference *)
|Out:= 1.2
|
|In:= a==b
|Out:= True
|
|In:= Union[{a,b}]
|Out:= {1.2,1.2} (* !!! *)
|
|How does Union evaluates equalities? How can I force it to do it the right
|way??
|
|
Union uses the setting for the SameTest Option to determine if two elements
are "equal". By default it uses SameTest->Automatic.
However, I don't know exactly what this does.
You will get the results you want if you use the following:
In:= Union[ {a,b}, SameTest->Equal ]
Out= {1.2}
Even better. you can add a line in your init.m file,
and Union will always have the default (SameTest->Equal).
Well first you have to restart Mathematica using the new init.m.
Here is what you add to init.m.
SetOptions[ Union, SameTest->Equal ]
Ted Ersek