Affine Arithmetic Implementation for Learning

• Interval Arithmetic
• Affine Arithmetic
  • with round-off error consideration
  • Three modes
    • Always add a new symbol for round-off error
    • Dedicated symbol for round-off error
    • Round-off error symbol also for non-affine operations
  • Supported non-affine operations
    • Multiplication
    • Division (Reciprocal)
    • Square root

References

• Affine Arithmetic and its Applications to Computer Graphics
• Affine Arithmeticについて
• Fast reliable interrogation of procedurally defined implicit surfaces using extended revised affine arithmetic

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