BPT Dimensional Analysis Test Suite

🔍 Equation Dimensional Analysis Testing

Focus: This test suite validates complete equations with both left and right sides, testing full dimensional equation processing and balance.

Canonical BPT Dimension Order: ['ℨ', 'ↁ', '𝔸', '𝕄', '𝕃', '𝕋', '1ᵇ', '2ᵇ', '∅']
Final Dimensional Analysis Validation
  • Dimensional Consistency: All terms in equations must have compatible dimensions for valid operations
  • BPT Canonical Ordering: Results should follow [ℨ·ↁ·𝔸·𝕄·𝕃·𝕋·1ᵇ] hierarchy
  • Mathematical Transparency: Show intermediate steps: A op B = [result] = [result] op C = [final]
  • Error Detection: Invalid operations like adding different dimensions should return dimensional errors
  • Parenthetical Resolution: Complex expressions should evaluate parentheses first with full variable resolution
  • Coefficient Handling: Numerical coefficients should be properly separated from dimensional terms
  • Function Evaluation: Functions should show complete evaluation chain with dimensional arguments
  • Equation Validation Process:
    • ✓ Valid - Both sides reduce to identical dimensions or compatible relationship
    • ✗ Invalid - Dimensional mismatch, impossible operations, or logical inconsistency
    • Bridge Detection: System identifies connection type (direct equality, proportional, computational equivalence)
    • Consistency Check: Final dimensional comparison determines equation validity
Total: 0
Passed: 0
Failed: 0
Pending: 0

🎯 Two-Sided Testing Goals

This focused test suite validates individual expression processing:

  • Variable Resolution: Proper lookup of symbols from the database
  • Function Evaluation: Correct processing of function calls with arguments
  • Mathematical Operations: Accurate dimensional arithmetic
  • Complex Expressions: Proper handling of parentheses and nested operations
  • Unicode Support: Robust processing of BPT Unicode symbols
  • Error Handling: Graceful handling of invalid expressions