Ant renaming while copying file

It should be as simple as

<copy file="mySourceFile" tofile="MyDestFile" />

Use tofile option instead of todir

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Added

Or a more complex example from Ant Copy Task documentation:

Copy a set of files to a directory, appending .bak to the file name on the fly

  <copy todir="../backup/dir">
    <fileset dir="src_dir"/>
    <globmapper from="*" to="*.bak"/>
 </copy>