Overview

Enchantment Calculator is a client-side mod that helps you find the most cost-effective way to combine enchantments on your items.

This mod is based on the functionality provided by this website

This mod supports customization via a custom resource pack. GUI elements are located at: assets/enchantmentcalculator/textures/gui

You can view the original textures in the source code on GitHub

If you have an idea to improve the interface by redrawing the elements or by changing the code, I would appreciate it.

Known bugs

The interface overflows off-screen when using UI scale 4 (idk how to fix this :P)

Bug Reports & Feature Requests

Found a bug, errors in calculations, have a suggestion? Please report it my our GitHub Issues page.

Usage

Place an item in the anvil
Select enchantments from the left panel
Click Calculate to find the optimal sequence
Follow the steps shown in the right panel
Navigate through steps using arrow buttons

Screenshot

Technical Algorithm Overview

Optimization Algorithm

The Enchantment Calculator uses a sophisticated tree-based optimization algorithm to find the most cost-effective enchanting sequence.

Core Algorithm Steps:

1. Tree Structure Generation

For n enchantments, generate all possible binary combination trees
- Each leaf = enchantment book or base item
- Each internal node = anvil combination operation
- Tree depth determines maximum prior work penalty

2. Cost Calculation Model

The mod calculates costs using Minecraft's exact anvil mechanics:

Total Cost = Enchantment Cost + Prior Work Penalty

Where:

Enchantment Cost: Based on enchantment rarity weights
Prior Work Penalty: MULTIPLIERS[left_uses] + MULTIPLIERS[right_uses]
Multipliers: [1023]

3. Tree Pruning Optimization

Instead of testing all possible trees, the algorithm:

Groups trees by maximum depth (anvil use count)
Calculates weighted contribution sums for each tree
Keeps only the best tree per depth level
Reduces complexity from O(n!) to O(n²)

4. Item Placement Optimization

For each tree structure:

1. Sort enchantment books by cost (expensive first)
2. Calculate leaf contribution values for each position
3. Place expensive items at positions with lowest contributions
4. Minimize total weighted cost

5. Multi-Mode Optimization

Supports two optimization targets:

Level Mode: Minimizes total anvil level cost
Experience Mode: Minimizes total XP expenditure

Mathematical Foundation

Prior Work Penalty Calculation:

penalty = MULTIPLIERS[left_item_uses] + MULTIPLIERS[right_item_uses]

Experience Cost Conversion:

if (levels ≤ 16): xp = levels² + 6×levels
if (levels ≤ 31): xp = 2.5×levels² - 40.5×levels + 360
if (levels > 31): xp = 4.5×levels² - 162.5×levels + 2220

Tree Contribution Weighting:

For each tree position i:
contribution[i] = depth_from_root
weighted_sum = Σ(i × contribution[i])

Algorithm Complexity

Time Complexity: O(n² × 2^n) where n = number of enchantments
Space Complexity: O(n × 2^n) for tree storage
Practical Performance: <100ms for typical 5-7 enchantments

Enchantment Weight System

The mod uses empirically determined weights matching Minecraft's internal costs:

Weight 1: protection, sharpness, efficiency, unbreaking, power
Weight 2: fire_aspect, looting, fortune, punch, flame
Weight 4: mending, silk_touch, infinity, curse_of_binding

Tree Search Strategy

Generate all possible binary tree structures
Filter by maximum depth to reduce search space
Score each tree using weighted contribution analysis
Select optimal trees per depth level
Test item placements for each selected tree
Return globally optimal solution

Edge Case Handling

Single enchantment: Direct application (cost = weight × level)
Two enchantments: Simple combination without tree search
Incompatible enchantments: Filtered during selection phase
Maximum anvil uses: Capped at 6 uses (cost = 1023 levels)

This algorithm ensures you get the mathematically optimal enchanting sequence while maintaining fast performance suitable for real-time gameplay.

Enchantment Calculator