How do I write a test for a function that should do nothing?

Sometimes, I write functions that, under certain circumstances, should do nothing. Not only is it acceptable that they don't do anything, but it is actually the required behavior. Is there a pattern to test a function to make sure it has no side effects?

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As an example, I'm currently testing a function that looks like this:

function onRowOfIconsClicked(iconName) {
  if (iconName === 'new') {
    doSomeAwesomeStuffImAlreadyTesting();
  }
  // We haven't implemented the other icons yet, so for now,
  // do nothing and don't throw an error if a different icon
  // is clicked
}

How would I write a test case to assert the current requirement that when onRowOfIconsClicked is called with an iconName other than "new", the function does nothing?