Forward to the Past: The Case for Uniformly Strict Floating Point Arithmetic on the JVM

Forward to the Past: The Case for Uniformly Strict Floating Point Arithmetic on the JVM

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Intro

1 of 17

1 of 17

Intro

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Forward to the Past: The Case for Uniformly Strict Floating Point Arithmetic on the JVM

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  1. 1 Intro
  2. 2 Overview
  3. 3 Specifications and semantics Java source code
  4. 4 The games of mathematics
  5. 5 Levels of floating point
  6. 6 Encoding and decoding IEEE 754 floating-point
  7. 7 Round to nearest even rounding mode, illustrated
  8. 8 Fun facts about floating-point arithmetic
  9. 9 Completing floating point arithmetic
  10. 10 Design of x87 floating point instructions, circa 1977
  11. 11 A potential problem or a real problem?
  12. 12 Toy example
  13. 13 Abbreviated & abridged history of Java FP Proposals
  14. 14 Features of default floating-point semantics
  15. 15 Complexity in semantics or code generation
  16. 16 JEP 306: Restore always strict floating point semantics
  17. 17 Example: fused multiply add (fma)

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