Space and Time Comparisons
For various versions of mod-expt with exponent e:
| | Space | Time
|
| Linear Recursion | Θ(e) | Θ(e)
|
| Linear Iteration | Θ(1) | Θ(e)
|
| Tree Recursion | Θ(log e) | Θ(e)
|
| Logarithmic Recursion | Θ(log e) | Θ(log e)
|
| Logarithmic Iteration | Θ(1) | Θ(log e)
|
Here is a graph comparing the functions Θ(1)
(red), Θ(log e) (purple), and Θ(e) (green), where
the horizontal axis extends to e = 25:
