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A function of real numbers is also called a step function if it is piecewise constant function involving a finite number of inputs. There are two types of step functions. Greatest Integer function (floor function) - A function f(x) is said to be a floor function which possesses biggest integer that is less than or equal to the input value x Smallest Integer function (ceiling function) - A function f(x) is said to be a ceiling function which is composed of the lowest integer that is either bigger or equal to the input value x A step function is also known as staircase function, since it looks like a staircase.
Algorithm LargestNumber Input: A list of numbers L. Output: The largest number in the list L. if L.size = 0 return null largest â L[0] for each item in L, do if item > largest, then largest â item return largest. â 1  is a shorthand for changes to.  2 return terminates the algorithm and outputs the value that follows.