#!/usr/bin/env Rscript

# Demonstrate the exact issue with hexagonal individual pieces

cat("🔍 DEMONSTRATING THE ISSUE with hexagonal individual pieces\n")

# Load the function 
source("R/hexagonal_individual_pieces.R")

# Generate test puzzle
rings <- 3
seed <- 42
puzzle_struct <- extract_hexagonal_puzzle_structure(rings = rings, seed = seed, diameter = 240)

# Parse the path segments 
path_segments <- parse_hexagonal_puzzle_paths(puzzle_struct)

cat("=== PATH SEGMENTS AVAILABLE ===\n")
cat("Horizontal segments:", length(path_segments$horizontal), "\n")
cat("Vertical segments:", length(path_segments$vertical), "\n")
cat("Border segments:", length(path_segments$border), "\n")

cat("\n=== WHAT'S HAPPENING NOW (WRONG) ===\n")
cat("❌ ALL pieces get the same first horizontal segment path\n")
cat("❌ Path lengths: 729, 1038, 785 chars (different sizes)\n")  
cat("❌ Colors cycle but pieces are identical or wrong\n")

if (length(path_segments$horizontal) > 0) {
  first_h <- path_segments$horizontal[[1]]$raw_path
  cat("First horizontal segment (", nchar(first_h), " chars):\n")
  cat(substr(first_h, 1, 100), "...\n")
  
  cat("\nTHIS path is being used for multiple pieces instead of individual boundaries!\n")
}

cat("\n=== WHAT SHOULD HAPPEN (CORRECT) ===\n")
cat("✅ Each piece should have a UNIQUE boundary path\n")
cat("✅ Piece boundaries should be traced from MULTIPLE segments\n")
cat("✅ Adjacent pieces should share edge segments (like rectangular puzzles)\n")
cat("✅ Each piece should have 6 sides (hexagonal) with different curves\n")

cat("\n=== THE FIX NEEDED ===\n")
cat("1. Map each piece position to its 6 boundary segments\n")
cat("2. Extract the correct PORTION of each segment for that piece\n")  
cat("3. Chain segments together clockwise to form complete boundaries\n")
cat("4. Handle shared edges between adjacent pieces\n")

cat("\n=== EXAMPLE: What Piece 1 (center) boundary should look like ===\n")
cat("- North edge: portion of horizontal segment A\n")
cat("- Northeast edge: portion of vertical segment B\n")  
cat("- Southeast edge: portion of horizontal segment C\n")
cat("- South edge: portion of horizontal segment D\n")
cat("- Southwest edge: portion of vertical segment E\n")
cat("- Northwest edge: portion of vertical segment F\n")
cat("Chain them together: A -> B -> C -> D -> E -> F -> close\n")

cat("\nThis is why pieces look identical - they're using whole segments instead of piece-specific boundaries!\n")
cat("🎯 The shared edge principle needs proper hexagonal coordinate mapping.\n")