"""
file: heapSort.py
version: python3
author: Sean Strout
author: <<< YOUR NAME HERE >>
purpose: Implementation of the heapsort algorithm, not
in-place, (lst is unmodified and a new sorted one is returned)
"""
import arrayHeap # mkHeap (for adding/removing from heap)
import testSorts # run (for individual test run)
def heapSort(lst):
"""
heapSort(List(Orderable)) -> List(Ordered)
performs a heapsort on 'lst' returning a new sorted list
Postcondition: the argument lst is not modified
"""
return []
if __name__ == "__main__":
testSorts.run('heapSort')
the first, middle and last values.
"""
return median([lst[0], lst[len(lst) // 2], lst[len(lst) - 1]])
def quickSort(lst):
"""
quickSort: List(lst) -> List(result)
Where the return 'result' is a totally ordered 'lst'.
It uses the median-of-3 to select the pivot
e.g. quickSort([1,8,5,3,4]) == [1,3,4,5,8]
"""
if len(lst) == 1 or lst == []:
return lst
pivot = [medianOf3(lst)]
lst2 = []
lst3 = []
for i in lst:
if i < pivot[0]:
lst2.append(i)
elif i > pivot[0]:
lst3.append(i)
else:
pivot.append(i)
return quickSort(lst2) + pivot + quickSort(lst3)
if __name__ == "__main__":
testSorts.run('qsPivotMedian3')
else:
pivot = lst[0] # here we select the first element as the pivot
less, same, more = partition(pivot, lst)
return quickSort(less) + same + quickSort(more)
def partition(pivot, lst):
"""
partition: pivot (element in lst) * List(lst) ->
tuple(List(less), List(same, List(more))).
Where:
List(Less) has values less than the pivot
List(same) has pivot value/s, and
List(more) has values greater than the pivot
e.g. partition(5, [11,4,7,2,5,9,3]) == [4,2,3], [5], [11,7,9]
"""
less, same, more = list(), list(), list()
for val in lst:
if val < pivot:
less.append(val)
elif val > pivot:
more.append(val)
else:
same.append(val)
return less, same, more
if __name__ == "__main__":
testSorts.run('qsPivotFirst')
"""
A non in-place, depth limited quickSort, using median-of-3 pivot.
Once the limit drops to 0, it uses heapSort instead.
"""
if len(lst) == 1 or lst == []:
return lst
if limit <= 0:
return heapSort.heapSort(lst)
pivot = [median([lst[0], lst[len(lst) // 2], lst[len(lst) - 1]])]
lst2 = []
lst3 = []
for i in lst:
if i < pivot[0]:
lst2.append(i)
elif i > pivot[0]:
lst3.append(i)
else:
pivot.append(i)
return quipSortRec(lst2, limit - 1) + pivot + quipSortRec(lst3, limit - 1)
def quipSort(lst):
"""
The main routine called to do the sort. It should call the
recursive routine with the correct values in order to perform
the sort
"""
quipSortRec(lst, log2(len(lst)))
if __name__ == "__main__":
testSorts.run('quipSort')
"""
From a lst of unordered data, find and return the the median value from
the first, middle and last values.
"""
return median([lst[0], lst[len(lst) // 2], lst[len(lst) - 1]])
def quickSort(lst):
"""
quickSort: List(lst) -> List(result)
Where the return 'result' is a totally ordered 'lst'.
It uses the median-of-3 to select the pivot
e.g. quickSort([1,8,5,3,4]) == [1,3,4,5,8]
"""
if len(lst) == 1 or lst == []:
return lst
pivot = [medianOf3(lst)]
lst2 = []
lst3 = []
for i in lst:
if i < pivot[0]:
lst2.append(i)
elif i > pivot[0]:
lst3.append(i)
else:
pivot.append(i)
return quickSort(lst2) + pivot + quickSort(lst3)
if __name__ == "__main__":
testSorts.run('qsPivotMedian3')
Once the limit drops to 0, it uses heapSort instead.
"""
if lst == []:
return lst
if limit == 0:
return heapSort.heapSort(lst)
else:
pivot = qsPivotMedian3.medianOf3(
lst) # select the first element as the pivot
less, same, more = qsPivotFirst.partition(pivot, lst)
return quicheSortRec(less, limit - 1) + same + quicheSortRec(
more, limit - 1)
def quicheSort(lst):
"""
The main routine called to do the sort. It should call the
recursive routine with the correct values in order to perform
the sort
"""
if len(lst) == 0:
return list()
else:
limit = int(math.log(len(lst), 2))
return quicheSortRec(lst, limit)
if __name__ == "__main__":
testSorts.run('quicheSort')
Once the limit drops to 0, it uses heapSort instead.
"""
if len(lst) == 1 or lst == []:
return lst
if limit <= 0:
return heapSort.heapSort(lst)
pivot = [median([lst[0], lst[len(lst) // 2], lst[len(lst) - 1]])]
lst2 = []
lst3 = []
for i in lst:
if i < pivot[0]:
lst2.append(i)
elif i > pivot[0]:
lst3.append(i)
else:
pivot.append(i)
return quipSortRec(lst2, limit - 1) + pivot + quipSortRec(lst3, limit - 1)
def quipSort(lst):
"""
The main routine called to do the sort. It should call the
recursive routine with the correct values in order to perform
the sort
"""
quipSortRec(lst, log2(len(lst)))
if __name__ == "__main__":
testSorts.run('quipSort')
if len(lst) == 0:
return list()
else:
pivot = lst[0] # here we select the first element as the pivot
less, same, more = partition(pivot, lst)
return quickSort(less) + same + quickSort(more)
def partition( pivot, lst ):
"""
partition: pivot (element in lst) * List(lst) ->
tuple(List(less), List(same, List(more))).
Where:
List(Less) has values less than the pivot
List(same) has pivot value/s, and
List(more) has values greater than the pivot
e.g. partition(5, [11,4,7,2,5,9,3]) == [4,2,3], [5], [11,7,9]
"""
less, same, more = list(), list(), list()
for val in lst:
if val < pivot:
less.append(val)
elif val > pivot:
more.append(val)
else:
same.append(val)
return less, same, more
if __name__ == "__main__":
testSorts.run('qsPivotFirst')
Once the limit drops to 0, it uses heapSort instead.
"""
if lst == []:
return lst
if limit==0:
return heapSort.heapSort(lst)
else:
pivot= qsPivotMedian3.medianOf3(lst) # select the first element as the pivot
less, same, more = qsPivotFirst.partition(pivot, lst)
return quicheSortRec(less,limit-1) + same + quicheSortRec(more,limit-1)
def quicheSort(lst):
"""
The main routine called to do the sort. It should call the
recursive routine with the correct values in order to perform
the sort
"""
if len(lst)== 0:
return list()
else:
limit = int (math.log(len(lst),2))
return quicheSortRec(lst,limit)
if __name__ == "__main__":
testSorts.run('quicheSort')
