Myers Diff Algorithm & Sequence Similarity Formulations
Text difference engines compute the Longest Common Subsequence (LCS) to minimize edit distance:
1. Sequence Similarity Metric Equation
Similarity S(A, B) =
2 × |LCS(A, B)||A| + |B|
× 100%2. LCS Dynamic Programming Recurrence
LCS(X_i, Y_j) = (x_i = y_j ? LCS(X_{i-1}, Y_{j-1}) + 1 : max(LCS(X_{i-1}, Y_j), LCS(X_i, Y_{j-1})))
Step-by-Step Diff Computation & Alignment Breakdown
Step 1: Line Array Tokenization
Split text streams A and B into discrete line arrays.
Step 2: Line Alignment & Delta Identification
Match lines sequentially and tag mismatches as additions (+) or removals (-).
Step 3: Unified Visual Patch Rendering
Visual Diff=Color-Coded Additions & Deletions
Diff Markers & Unified Patch Format Reference
| Symbol | Diff Classification | Color Highlight | Meaning |
|---|---|---|---|
| + | Addition | Green Background | New line introduced in revised version |
| - | Deletion | Red Strikethrough | Original line removed or altered |
| Unchanged | Neutral Gray | Line is identical in both versions |