Hello,
More precision about my EasyList for Delphi and Freepascal version 1.0..
EasyList for Delphi and Freepascal version 1.0 is here..
Description:
This is EasyList that is implemented with generics, EasyList looks like
a TList because and it is implemented with an array, and it also uses my powerful Parallel Sort Library to sort the array to be able to find an
element with a binary search. Please take a look at the demo called
test.pas to know how to use it, also you can take a look at the source
code of EasyList to know how it is implemented.
When you define a variable of TEasyList with generics like the following:
var list:TEasyList<Integer>;
That means that the parameter of the Find() method of TEasyList
(that uses a Binary search) must be passed as an Integer type.
You can download my EasyList from:
https://sites.google.com/site/scalable68/easylist-for-delphi-and-freepascal
Read more in the following about my Powerful Parallel Library that is
used by my EasyList:
Parallel Sort Library that supports Parallel Quicksort, Parallel
HeapSort and Parallel MergeSort on Multicores systems.
Parallel Sort Library uses my Thread Pool Engine and sort many array
parts - of your array - in parallel using Quicksort or HeapSort or
MergeSort and after that it finally merge them - with the merge()
procedure -
In the previous parallelsort version i have parallelized only the sort
part, but in this new parallelsort version i have parallelized also the
merge procedure part and it gives better performance.
My new parallel sort algorithm has become more cache-aware, and i have
done some benchmarks with my new parallel algorithm and it has given up
to 5X scalability on a Quadcore when sorting strings, other than that i
have cleaned more the code and i think my parallel Sort library has
become a more professional and industrial parallel Sort library , you
can be confident cause i have tested it thoroughly and no bugs have
showed , so i hope you will be happy with my new Parallel Sort library.
Notice also in the source code that my Mergesort uses also insertion
sort like in a Timsort manner, so it is efficient.
I have implemented a Parallel hybrid divide-and-conquer merge algorithm
that performs 0.9-5.8 times better than sequential merge, on a quad-core processor, with larger arrays outperforming by over 5 times. Parallel processing combined with a hybrid algorithm approach provides a powerful
high performance result. My algorithm of finding the median of Parallel
merge of my Parallel Sort Library that you will find here in my website:
https://sites.google.com/site/scalable68/parallel-sort-library
Is O(log(min(|A|,|B|))), where |A| is the size of A, since the binary
search is performed within the smaller array and is O(lgN). But this new algorithm of finding the median of parallel merge of my Parallel Sort
Library is O(log(|A|+|B|)), which is slightly worse. With further
optimizations the order was reduced to O(log(2*min(|A|,|B|))),
which is better, but is 2X more work, since both arrays may have to be searched. All algorithms are logarithmic. Two binary searches were
necessary to find an even split that produced two equal or nearly equal
halves. Luckily, this part of the merge algorithm is not performance
critical. So, more effort can be spent looking for a better split.
This new algorithm in the parallel merge balances the recursive binary
tree of the divide-and-conquer and improve the worst-case performance of parallel merge sort.
Why are we finding the median in the parallel algorithm ?
Here is my previous idea of finding the median that is
O(log(min(|A|,|B|))) to
understand better:
Let's assume we want to merge sorted arrays X and Y. Select X[m] median
element in X.
Elements in X[ .. m-1] are less than or equal to X[m]. Using binary
search find index k
of the first element in Y greater than X[m]. Thus Y[ .. k-1] are less
than or equal to X[m] as well. Elements in X[m+1..] are greater than or
equal to X[m] and Y[k .. ] are greater.
So merge(X, Y) can be defined as concat(merge(X[ .. m-1], Y[ .. k-1]),
X[m], merge(X[m+1.. ], Y[k .. ])), now we can recursively in parallel do merge(X[ .. m-1], Y[ .. k-1]) and merge(X[m+1 .. ], Y[k .. ])
and then concat results.
Language: FPC Pascal v3.02+ / Delphi tokyo+
http://www.freepascal.org/
Required FPC switches: -O3 -Sd
-Sd for delphi mode....
- Platform: Windows,Linux Thank you, Amine Moulay Ramdane.
Thank you,
Amine Moulay Ramdane.
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