Phase 2: 5D Lattice Setup for OpenSimplex2F Noise #26

Task Description

Implement the 5D lattice point setup and initialization for OpenSimplex2F noise generation.

Detailed Tasks

1. Create 5D Vertex Array

• Define VERTICES_5D[32] array for 32 vertices of 5D hypercube
• Each vertex has 5 binary coordinates (0 or 1)
• Generate all 32 combinations (2^5 = 32)

2. Implement setup_lattice_points_5D

• Initialize LOOKUP_5D array with 5D lattice points
• Create proper connectivity between vertices
• Handle the two half-lattices (similar to 4D implementation)

3. Calculate 5D Skew Factors

• Implement 5D skew calculation formula
• Skew factor = 1 / sqrt(5) ≈ 0.4472
• Calculate offset for each vertex based on 5D position

4. Update Context Initialization

• Modify OpenSimplex2F to initialize 5D lattice
• Call setup_lattice_points_5D after setup_lattice_points
• Store lookup tables in context structure

5. Implement Cleanup Functions

• Add free_LatticePoint5D function
• Update OpenSimplex2F_shutdown to free 5D lattice points
• Handle circular references in lookup trees

Files to Modify

• OpenSimplex2F.h - Add function declarations
• OpenSimplex2F.c - Implement all 5D lattice setup

Notes

• Follow the existing pattern from 2D, 3D, and 4D implementations
• Use the same memory allocation strategy as lower dimensions
• Ensure proper handling of lattice point connectivity

Acceptance Criteria

• 5D lattice points are properly initialized
• All 32 vertices are created and stored
• Lookup tables are correctly populated
• Memory cleanup works correctly
• No memory leaks detected]