[integer-sqrt] update int_sqrt to more robust implementation

This commit is contained in:
Danny Ryan 2018-09-30 18:38:47 -05:00
parent 2ef9bc9f06
commit 606cb477f6
1 changed files with 7 additions and 7 deletions

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@ -298,16 +298,16 @@ def get_block_hash(active_state, curblock, slot):
`get_block_hash(*, *, h)` should always return the block in the chain at slot `h`, and `get_shards_and_committees_for_slot(*, h)` should not change unless the dynasty changes.
Finally, we abstractly define `int_sqrt(n)` for use in reward/penalty calculations as the largest integer `k` such that `k**2 <= n`. Here is one possible implementation, though clients are free to use their own including standard libraries if available and meet the specification.
Finally, we abstractly define `int_sqrt(n)` for use in reward/penalty calculations as the largest integer `x` such that `x**2 <= n`. Here is one possible implementation, though clients are free to use their own including standard libraries for [integer square root](https://en.wikipedia.org/wiki/Integer_square_root) if available and meet the specification.
```python
def int_sqrt(n):
k = n
while True:
newk = (k + (n // k)) // 2
if newk in (k, k+1):
return k
k = newk
x = n
y = (x + 1) // 2
while y < x:
x = y
y = (x + n // x) // 2
return x
```
### On startup