Demonstration of how a Python range works

A range is an iterable object, and this object can return an iterator that keeps track of its current state.

Suppose we create a range with the call range(3). This returns an object of type range with our requested settings. Internally, a Python range will set the following internal variables:

the start value to 0,
the end value to 3,
and the step value to the default value of 1.

When we start iterating a range object, the object will return an iterator. This iterator uses the values defined above, but has one extra: a counter i, initialized to 0 by default. It increases on each iteration.

On each call to the iterator to get the next number, range looks at its internal state and calculates the next number to return. The next value is calculated like this:

next = start + step*i

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Demonstration of how a Python range works (Python 3 )