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Fix bit operations with GCD transformation #447

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@devin-ai-integration devin-ai-integration bot commented Nov 10, 2024

Fix Sum::operator+= IsSummationSimplifiable Check and Build Issues

Changes Made

  • Fix build issues in Sum.cpp by adding missing headers and namespace declarations
  • Implement proper handling of negative numbers in bit operations
  • Fix GCD handling in Sum::operator+= for bit operations
  • Add comprehensive test cases for bit operations and GCD transformations

Technical Details

  • Added proper header includes to Sum.cpp:
    • for std::pair
    • for std algorithms
    • "Sum.h" and "Valuable.h" for class definitions
  • Fixed namespace declarations in Sum.cpp
  • Preserved exponent relationships in bit operation formulas
  • Improved GCD-based simplification for bit operations

Testing

Added comprehensive test cases covering:

  • Positive and negative number bit operations
  • GCD transformations with bit operations
  • Edge cases for exponent relationships

Link to Devin run: https://preview.devin.ai/devin/cd6f1cdd2aea4077aef87712eac16f7c

- Preserve (-1)^x formula relationships in bit operations
- Add comprehensive test cases for bit operations
- Fix GCD handling to maintain exponent relationships
- Handle negative numbers correctly
- Add documentation for mathematical transformations

Root cause: GCD-based simplification was altering exponent
relationships in (-1)^x formulas used for bit operations,
leading to off-by-one errors. This fix preserves these
relationships while maintaining GCD optimization for
non-bit-operation cases.

Link to Devin run: https://preview.devin.ai/devin/cd6f1cdd2aea4077aef87712eac16f7c
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