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@yipe/dice
@yipe/dice/builder
@yipe/dice/package.json

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Dice

🎲 @yipe/dice

A TypeScript library for D&D 5e damage-per-round (DPR) calculations, designed for players, Dungeon Masters, and developers who want to analyze combat mathematically.

This library powers dprcalc.com and provides a precise, composable way to model dice rolls, attacks, and outcomes with probability mass functions (PMFs) — not just averages. This allows for rich charting and statistics with full outcome attribution.

import { parse } from "@yipe/dice";

const attack = parse("(d20 + 8 AC 16) * (1d8 + 4) crit (2d8 + 4)");
console.log("DPR:", attack.mean());

✨ Features

D&D 5e Focused: Designed around 5e rules (2014 and 2024).
Probability Mass Functions (PMF): Precise modeling of dice rolls and outcomes, not just averages.
Complex Attack Expressions: Supports crit ranges, advantage/disadvantage, conditional damage, rerolls, minimum damage, and more.
Composable API: Build dice expressions, run queries, and analyze results in just a few lines.
TypeScript First: Full type safety and developer experience.

🚀 Installation

# Install with npm or yarn
npm install @yipe/dice
# or
yarn add @yipe/dice

📦 Core Concepts

Concept	Description
PMF	Probability Mass Function. The core mathematical representation of outcomes.
Query	Runs calculations and scenarios over one or more PMFs.
Parser	Parses text-based dice expressions like `(d20 + 8 AC 16) * (1d4 + 4)`.
Dice	Represents the outcome of a single dice expression

🧙 Basic Usage

Here's a simple example of calculating damage for a basic attack:

import { parse, DiceQuery } from "@yipe/dice";

const query = parse("(d20 + 8 AC 16) * (1d4 + 4) crit (2d4 + 4)").toQuery();

console.log("Hit chance:", query.probAtLeastOne(["hit", "crit"]));
console.log("Crit chance:", query.probAtLeastOne(["crit"]));
console.log("DPR:", query.mean());

Output:

Hit chance: 0.65
Crit chance: 0.05
DPR: 4.35

⚔️ Sneak Attack Example

Conditional damage ("once-per-turn damage riders") like Sneak Attack can be modeled easily:

import { parse, DiceQuery } from "@yipe/dice";

function damageRiderExample() {
  const attack = parse("(d20 + 8 AC 16) * (1d4 + 4) crit (2d4 + 4)");
  const sneakAttack = parse("3d6");
  const sneakAttackCrit = parse("6d6");

  // Determine the probability of a success (hit or crit) and a crit
  const attacks = new DiceQuery([attack, attack]);
  const [pSuccess, pCrit] = attacks.firstSuccessSplit(
    ["hit", "crit"],
    ["crit"]
  );

  // Calculate the expected damage of sneak attack in both scenarios
  const sneak = PMF.exclusive([
    [sneakAttack, pSuccess],
    [sneakAttackCrit, pCrit],
  ]);

  // Create a full round with all of those damage outcomes

  const fullRound = new DiceQuery([attack, attack, sneak]);
  const DPR = fullRound.mean();

  console.log("full round DPR", DPR);

  // Congrats, you can now chart and query this round!
  return fullRound;
}

📊 Statistics and Charts

You can generate full statistical distributions for visualization or reporting.

import { parse, DiceQuery } from "@yipe/dice";

const query2 = parse("(d20 + 8 AC 16) * (1d4 + 4) crit (2d4 + 4)").toQuery();
console.table(query2.toChartSeries());

Output:

┌─────────┬────┬──────────┐
│ (index) │ x  │ y        │
├─────────┼────┼──────────┤
│ 0       │ 0  │ 0.35     │
│ 1       │ 5  │ 0.15     │
│ 2       │ 6  │ 0.153125 │
│ 3       │ 7  │ 0.15625  │
│ 4       │ 8  │ 0.159375 │
│ 5       │ 9  │ 0.0125   │
│ 6       │ 10 │ 0.009375 │
│ 7       │ 11 │ 0.00625  │
│ 8       │ 12 │ 0.003125 │
└─────────┴────┴──────────┘

🗂 Project Structure

File	Purpose
`src/`	Core Dice class and logic
`examples/`	Example scripts showing library usage
`tests/`	Comprehensive library tests

🧪 Running Examples

This repository includes example scripts.

yarn example basic
yarn example stats
yarn example sneakattack
yarn example misc

Here is the basic example:

% yarn example basic

┌────────────┐
│ Summary    │
├────────────┴─────────────────────────────────────────────┐
│ Expression:     (d20 + 5 AC 15) * (1d6+2) crit (2d6 + 2) │
│ Success Chance: 0.55                                     │
│ Expected DPR:   3.20                                     │
└──────────────────────────────────────────────────────────┘

┌────────────┐
│ PMF ()     │
├────────────┴───────────────────────────────────────────────────────────────────────────┐
│   0: █████████████████████████████████████████████████████████████████████████ 45.00%  │
│   3: █████████████▌                                                             8.33%  │
│   4: █████████████▋                                                             8.47%  │
│   5: █████████████▉                                                             8.61%  │
│   6: ██████████████▏                                                            8.75%  │
│   7: ██████████████▍                                                            8.89%  │
│   8: ██████████████▋                                                            9.03%  │
│   9: █▎                                                                         0.83%  │
│  10: █▏                                                                         0.69%  │
│  11: ▉                                                                          0.56%  │
│  12: ▋                                                                          0.42%  │
│  13: ▍                                                                          0.28%  │
│  14: ▏                                                                          0.14%  │
└────────────────────────────────────────────────────────────────────────────────────────┘

┌──────────────────┐
│ CDF (): P(X ≤ x) │
├──────────────────┴─────────────────────────────────────────────────────────────────────┐
│   0: ████████████████████████████████▍                                         45.00%  │
│   1: ████████████████████████████████▍                                         45.00%  │
│   2: ████████████████████████████████▍                                         45.00%  │
│   3: ██████████████████████████████████████▍                                   53.33%  │
│   4: ████████████████████████████████████████████▌                             61.81%  │
│   5: ██████████████████████████████████████████████████▋                       70.42%  │
│   6: █████████████████████████████████████████████████████████▏                79.17%  │
│   7: ███████████████████████████████████████████████████████████████▍          88.06%  │
│   8: █████████████████████████████████████████████████████████████████████▉    97.08%  │
│   9: ██████████████████████████████████████████████████████████████████████▌   97.92%  │
│  10: ███████████████████████████████████████████████████████████████████████   98.61%  │
│  11: ███████████████████████████████████████████████████████████████████████▍  99.17%  │
│  12: ███████████████████████████████████████████████████████████████████████▋  99.58%  │
│  13: ███████████████████████████████████████████████████████████████████████▉  99.86%  │
│  14: ████████████████████████████████████████████████████████████████████████ 100.00%  │
└────────────────────────────────────────────────────────────────────────────────────────┘

┌──────────────────┐
│ Outcome Table () │
├──────────────────┴───────────────────────────┐
│ DAMAGE │ PERCENT │ Crit % │  Hit % │  Miss % │
├────────┼─────────┼────────┼────────┼─────────┤
│ 0      │ 45.000% │ 0.000% │ 0.000% │ 45.000% │
│ 3      │  8.333% │ 0.000% │ 8.333% │  0.000% │
│ 4      │  8.472% │ 0.139% │ 8.333% │  0.000% │
│ 5      │  8.611% │ 0.278% │ 8.333% │  0.000% │
│ 6      │  8.750% │ 0.417% │ 8.333% │  0.000% │
│ 7      │  8.889% │ 0.556% │ 8.333% │  0.000% │
│ 8      │  9.028% │ 0.694% │ 8.333% │  0.000% │
│ 9      │  0.833% │ 0.833% │ 0.000% │  0.000% │
│ 10     │  0.694% │ 0.694% │ 0.000% │  0.000% │
│ 11     │  0.556% │ 0.556% │ 0.000% │  0.000% │
│ 12     │  0.417% │ 0.417% │ 0.000% │  0.000% │
│ 13     │  0.278% │ 0.278% │ 0.000% │  0.000% │
│ 14     │  0.139% │ 0.139% │ 0.000% │  0.000% │
└────────┴─────────┴────────┴────────┴─────────┘

🎲 Sample Dice Expression Grammar

🧱 Roadmap

Create a web playground with live examples
Consider creating higher-level APIs: Turn, Attack, DamageRider
Simplify and improve PMF and Query interface ergonomics
Add more comprehensive 5e rule examples
Performance improvements for DPR-only calculations
Multi-round and sustained vs nova simulations
Deeper integration with dprcalc.com
Blog posts and documentation
Grammar refinements and new YACC parsing

💬 Discuss

Join our Discord to discuss this library and more!

🤝 Contributing

Clone the repo and install dependencies:

git clone https://github.com/yipe/dice.git
cd dice
yarn install

Run tests

yarn test

Run examples

yarn example

📜 License

⚖️ Legal / Trademarks

Wizards of the Coast, Dungeons & Dragons, and their logos are trademarks of Wizards of the Coast LLC in the United States and other countries.

❤️ Credits

Portions of this code are inspired by dice.clockworkmod.com by Koushik Dutta (2013), licensed under the Apache License 2.0.

Initial TypeScript port expertly created by loginName1.