123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118 |
- """Bisection algorithms."""
- def insort_right(a, x, lo=0, hi=None, *, key=None):
- """Insert item x in list a, and keep it sorted assuming a is sorted.
- If x is already in a, insert it to the right of the rightmost x.
- Optional args lo (default 0) and hi (default len(a)) bound the
- slice of a to be searched.
- A custom key function can be supplied to customize the sort order.
- """
- if key is None:
- lo = bisect_right(a, x, lo, hi)
- else:
- lo = bisect_right(a, key(x), lo, hi, key=key)
- a.insert(lo, x)
- def bisect_right(a, x, lo=0, hi=None, *, key=None):
- """Return the index where to insert item x in list a, assuming a is sorted.
- The return value i is such that all e in a[:i] have e <= x, and all e in
- a[i:] have e > x. So if x already appears in the list, a.insert(i, x) will
- insert just after the rightmost x already there.
- Optional args lo (default 0) and hi (default len(a)) bound the
- slice of a to be searched.
- A custom key function can be supplied to customize the sort order.
- """
- if lo < 0:
- raise ValueError('lo must be non-negative')
- if hi is None:
- hi = len(a)
- # Note, the comparison uses "<" to match the
- # __lt__() logic in list.sort() and in heapq.
- if key is None:
- while lo < hi:
- mid = (lo + hi) // 2
- if x < a[mid]:
- hi = mid
- else:
- lo = mid + 1
- else:
- while lo < hi:
- mid = (lo + hi) // 2
- if x < key(a[mid]):
- hi = mid
- else:
- lo = mid + 1
- return lo
- def insort_left(a, x, lo=0, hi=None, *, key=None):
- """Insert item x in list a, and keep it sorted assuming a is sorted.
- If x is already in a, insert it to the left of the leftmost x.
- Optional args lo (default 0) and hi (default len(a)) bound the
- slice of a to be searched.
- A custom key function can be supplied to customize the sort order.
- """
- if key is None:
- lo = bisect_left(a, x, lo, hi)
- else:
- lo = bisect_left(a, key(x), lo, hi, key=key)
- a.insert(lo, x)
- def bisect_left(a, x, lo=0, hi=None, *, key=None):
- """Return the index where to insert item x in list a, assuming a is sorted.
- The return value i is such that all e in a[:i] have e < x, and all e in
- a[i:] have e >= x. So if x already appears in the list, a.insert(i, x) will
- insert just before the leftmost x already there.
- Optional args lo (default 0) and hi (default len(a)) bound the
- slice of a to be searched.
- A custom key function can be supplied to customize the sort order.
- """
- if lo < 0:
- raise ValueError('lo must be non-negative')
- if hi is None:
- hi = len(a)
- # Note, the comparison uses "<" to match the
- # __lt__() logic in list.sort() and in heapq.
- if key is None:
- while lo < hi:
- mid = (lo + hi) // 2
- if a[mid] < x:
- lo = mid + 1
- else:
- hi = mid
- else:
- while lo < hi:
- mid = (lo + hi) // 2
- if key(a[mid]) < x:
- lo = mid + 1
- else:
- hi = mid
- return lo
- # Overwrite above definitions with a fast C implementation
- try:
- from _bisect import *
- except ImportError:
- pass
- # Create aliases
- bisect = bisect_right
- insort = insort_right
|