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Chinese Arithmetic on Many-core Processors

Chinese Arithmetic on Many-core Processors. Jonathan Mee’s CDA6938 Semester Project. Motivation. Highly Precise Calculations Excellent Many-core Speedup Integers Not Real Numbers Virtually Unlimited Integer Size without Loss of Accuracy. Chinese Arithmetic. Static Set of Modulo Keys

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Chinese Arithmetic on Many-core Processors

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  1. Chinese Arithmetic on Many-core Processors Jonathan Mee’s CDA6938 Semester Project

  2. Motivation • Highly Precise Calculations • Excellent Many-core Speedup • Integers Not Real Numbers • Virtually Unlimited Integer Size without Loss of Accuracy

  3. Chinese Arithmetic • Static Set of Modulo Keys • Keys Must Be Relatively Prime • Local Set of Corresponding Mods • Additions, Subtractions, and Multiplications Performed on Local Sets • Divisions Not Supported • Negative Numbers Not Supported by My Algorithm

  4. Example

  5. Algorithm Sections Generate Distribute Mod Mod Mod Arithmetic Arithmetic Arithmetic Collect Collect Collect Verify

  6. Generate • Numbers Generated Randomly • Addition, Subtraction, Multiplication, and Division Operations Ordered Randomly • Clearly Done on CPU

  7. Distribute

  8. Mod

  9. Arithmetic

  10. Collect

  11. Verify

  12. Results

  13. Works Cited Dewdney, A. K. The (New) Turing Omnibus. New York: Owl Books, 1993. Knuth, Donald E. The Art of Computer Programming. Ed. Michael A. Harrison. 2nd ed. 2 vols. Reading: Addison-Wesley Publishing Company, 1969.

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