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== Idempotence == {{Main|Idempotence#Computer science meaning}} A [[subroutine]] with side effects is idempotent if multiple applications of the subroutine have the same effect on the system state as a single application, in other words if the function from the system state space to itself associated with the subroutine is idempotent in the [[Idempotence#Definition|mathematical sense]]. For instance, consider the following [[Python (programming language)|Python]] program: <syntaxhighlight lang="python"> x = 0 def setx(n): global x x = n setx(3) assert x == 3 setx(3) assert x == 3 </syntaxhighlight> <code>setx</code> is idempotent because the second application of <code>setx</code> to 3 has the same effect on the system state as the first application: <code>x</code> was already set to 3 after the first application, and it is still set to 3 after the second application. A [[pure function]] is idempotent if it is idempotent in the [[idempotence#Definition|mathematical sense]]. For instance, consider the following Python program: <syntaxhighlight lang="python"> def abs(n): return -n if n < 0 else n assert abs(abs(-3)) == abs(-3) </syntaxhighlight> <code>abs</code> is idempotent because the second application of <code>abs</code> to the return value of the first application to -3 returns the same value as the first application to -3.
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