1. A Comparison-FREE SORTING ALGORITHM ON CPUs
Saleh Abdel-hafeez, Jordan (JUST)
Ann Gordon-Ross, USA (UF)
Samer AbuBaker, Jordan (JUST)

2. Highlights Principle Example Potential Key Factors CPU Simulation
Single Threaded (no Parallelism)
C-Code (Memory Locality)
Execution Time Simulations
Multi-threaded (Parallelism)
C-Code (Atomic and Semaphore Vs. Memory)
Conclusions

3. Principle Example

4. Potential Key Factors Two Representations N=2K Computations less Idea
Binary
One-Hot
N=2K
Computations less
Memory Transpose
Memory Mapping
Idea
Reduce the size of One-Hot (NxN) to NX1
Improve Locality (Spatial and Temporal)

5. CPU Single Thread

6. Loop1 Time vs. Loop2 Time (MEMORY LOCALITY)

7. Dependent Less on Input Distribution

8. CPU Single thread (Time Simulation)

9. CPU Single Thread Significant
The Fastest
Minor Effect on Data Type Distribution
One Dimensional Memory
Less Computations
Easy to work with
Less Energy & Power 7 8 10 12 14 16 18 20 22 24 26 28 29
Free-comparison 6 41
145
584
2317
6839
31414
69519
418684
quick 15 30
140
602
2673
11409
47064
148004
456904

10. CPU Multiple Threads (8-Threads & 4-Core)

11. CPU Multiple threaded (TIME)

12. Execution Time vs. Data Sizes7 8 10 12 14 16 18 20 22 24 26 28 30 32 34
8-thread
345
333
363
386
1070
2085
7658
17309
58822
234639
Non-thread 6 41
145
584
2317
6839
31414
69519
418684
2.22E+08
8.12E+08

13. Memory Usage

14. Comparison with Parallel Sorting Algorithms
Avoid Mutual Exclusive (Memory Blocked)
Use More Memory for threaded
Use Atomic for less memory
Execution Time (Second) 14 20 24 26
Comparison-Free
/0.0005
0.002
0.235
1.08
[1]-2011-Bitonic-Sort-CPU&GPU
0.0012
0.076
1.97
2.23
[2]-2010-Intel (Radix) CPU
0.0075
0.025
0.081
0.33
[3]-2009-Invidia (Radix) GPU
0.008
0.031
0.12
0.27

15. CONCLUSION
The Design is novel and is not an incremental of other hybrid sorting algorithms (Future Work); the C-Code is clear and is available
Comparison-free: Single-Threaded
The fastest for data sizes < 216
Comparison-free: Multi-threaded
CPU (Simple 4-Core) fastest at data 220
CPU (Advance Multi-Core) need to investigate
GPU (Simple and Advance) need to investigate
Use less memory, and expecting less energy