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status](https://img.shields.io/travis/prefko/preferans-rating-js.svg?branch=master)](https://travis-ci.org/prefko/preferans-rating-js)\r\n[![codacy](https://img.shields.io/codacy/grade/1877e4f84716402888fd97bd6c881d0f.svg)](https://www.codacy.com/project/prefko/preferans-rating-js/dashboard)\r\n[![coverage](https://img.shields.io/coveralls/github/prefko/preferans-rating-js/master.svg)](https://coveralls.io/github/prefko/preferans-rating-js?branch=master)\r\n[![dependencies](https://david-dm.org/prefko/preferans-rating-js.svg)](https://www.npmjs.com/package/preferans-rating-js)\r\n[![npm](https://img.shields.io/npm/dt/preferans-rating-js.svg)](https://www.npmjs.com/package/preferans-rating-js) [![Greenkeeper badge](https://badges.greenkeeper.io/prefko/preferans-rating-js.svg)](https://greenkeeper.io/)\r\n\r\nA TypeScript/JavaScript library for calculating player rating changes in Preferans card games. This library implements a sophisticated rating algorithm that considers player performance, existing ratings, and game-specific parameters (bula) to determine fair rating adjustments after each game.\r\n\r\n### Documentation\r\n\r\n[TypeDoc documentation](https://prefko.github.io/preferans-rating-js/docs/)\r\n\r\n### Bula vs Final Score\r\n\r\nIt's important to understand the distinction between \"bula\" and \"final score\" in Preferans:\r\n\r\n**Bula:**\r\n- **Starting Bula**: All players begin with an identical bula value, determining the length of the game.\r\n- **Game End**: The game finishes when the combined bulas of all three players equal zero.\r\n- **Bula Tracking**: Each player tracks their bula progression in the middle column of their scorecard.\r\n\r\n**Final Score Calculation:**\r\nThe final score used in rating calculations is much more complex than just the final bula. It involves:\r\n- **Middle Column**: Your bula progression (can be positive-bad or negative-good)\r\n- **Side Columns**: Points from tricks taken when other players were leading (multiplied by -10)\r\n- **Opponent Deductions**: Subtracting what opponents documented taking from you in games where you were leading\r\n\r\nThe `score` parameter in this library represents the **final calculated score** after all these complex scoring rules are applied, not the raw bula value.\r\n\r\n### Usage\r\n\r\n```javascript\r\nconst PrefRating = require(\"preferans-rating-js\");\r\n\r\n// Example: Three players with different ratings and final calculated scores\r\nconst player1 = {\r\n    username: 'Pedja',\r\n    rating: 1200,    // Current rating before the game\r\n    score: -500      // Final calculated score (negative = good performance)\r\n};\r\n\r\nconst player2 = {\r\n    username: 'Marko', \r\n    rating: 1150,\r\n    score: 40        // Final calculated score (positive = poor performance)\r\n};\r\n\r\nconst player3 = {\r\n    username: 'Johnny',\r\n    rating: 1100,\r\n    score: 460       // Final calculated score (positive = poor performance)\r\n};\r\n\r\n// Note: In Preferans scoring, final scores typically sum to zero: -500 + 40 + 460 = 0\r\nconst startingBula = 30; // The initial bula value for all players\r\n\r\n// Calculate rating changes\r\nconst rating = new PrefRating(player1, player2, player3, startingBula);\r\n\r\n// Get the results\r\nconst result = rating.rating;\r\nconsole.log(result);\r\n/*\r\nOutput:\r\n{\r\n  bula: 30,\r\n  p1: { username: 'Pedja', score: -500, oldRating: 1200, rating: 1173, change: -27 },\r\n  p2: { username: 'Marko', score: 40, oldRating: 1150, rating: 1152, change: 2 },\r\n  p3: { username: 'Johnny', score: 460, oldRating: 1100, rating: 1125, change: 25 }\r\n}\r\n*/\r\n```\r\n\r\n### API\r\n\r\n#### Constructor\r\n```typescript\r\nnew PrefRating(player1, player2, player3, bula)\r\n```\r\n\r\n**Parameters:**\r\n- `player1`, `player2`, `player3`: Objects with `username` (string), `rating` (number), and `score` (number - final calculated score)\r\n- `bula`: Number representing the starting bula value for all players\r\n\r\n**Returns:** PrefRating instance\r\n\r\n#### Properties\r\n- `rating`: Returns an object containing the bula and updated player information including rating changes\r\n\r\n### Detailed Example\r\n\r\nTo grasp the complex scoring system, consider this detailed example with a starting bula of 30:\r\n\r\n**Players**: Pedja, Marko, Johnny\r\n- **Order**: Pedja, Marko, Johnny\r\n\r\n**Final Papers**:\r\n- **Pedja**:\r\n  - Left (Johnny) = 320\r\n  - Middle (Bula) = -20\r\n  - Right (Marko) = 160\r\n- **Marko**:\r\n  - Left (Pedja) = 120\r\n  - Middle (Bula) = 4\r\n  - Right (Johnny) = 60\r\n- **Johnny**:\r\n  - Left (Marko) = 20\r\n  - Middle (Bula) = 16\r\n  - Right (Pedja) = 60\r\n\r\n**Calculations**:\r\n- **Pedja**: -20 x 10 - 320 - 160 + 120 + 60 = -500\r\n- **Marko**: 4 x 10 - 120 - 60 + 160 + 20 = 40\r\n- **Johnny**: 16 x 10 - 20 - 60 + 320 + 60 = 460\r\n\r\n**Result**:\r\n- **Pedja**: Good 500\r\n- **Marko**: Bad 40\r\n- **Johnny**: Bad 460\r\n\r\n**Explanation**:\r\n- The formula: Middle (Bula) x 10 - Left - Right + Points Opponents Took\r\n- Negative scores are considered \"good\".\r\n\r\n### Rating Algorithm\r\n\r\nThe rating system is inspired by chess ELO but adapted for 3-player games. The algorithm considers three main factors:\r\n\r\n#### Step 1: Calculate D Values (Score Performance)\r\n```\r\nD₁₂ = (Player1.score - Player2.score) / bula\r\nD₁₃ = (Player1.score - Player3.score) / bula  \r\nD₂₃ = (Player2.score - Player3.score) / bula\r\n```\r\nThis measures actual performance differences, normalized by game length (bula).\r\n\r\n#### Step 2: Calculate T Values (Rating Expectations)\r\n```\r\nT₁₂ = (Player2.rating - Player1.rating) × 2.8 / 100\r\nT₁₃ = (Player3.rating - Player1.rating) × 2.8 / 100\r\nT₂₃ = (Player3.rating - Player2.rating) × 2.8 / 100\r\n```\r\nThis represents expected performance based on rating differences. The constant **2.8** is the \"magic number\" that scales rating differences.\r\n\r\n#### Step 3: Calculate N Values (Performance Bonus)\r\n```\r\nN₁₂ = (Player1.score < Player2.score) ? -bula/100 : +bula/100\r\nN₁₃ = (Player1.score < Player3.score) ? -bula/100 : +bula/100\r\nN₂₃ = (Player2.score < Player3.score) ? -bula/100 : +bula/100\r\n```\r\nThis gives a small bonus/penalty based on who performed better (remember: lower score = better in Preferans).\r\n\r\n#### Step 4: Combine and Average\r\n```\r\nC₁₂ = D₁₂ + T₁₂ + N₁₂\r\nC₁₃ = D₁₃ + T₁₃ + N₁₃  \r\nC₂₃ = D₂₃ + T₂₃ + N₂₃\r\n\r\nPlayer1.change = round((C₁₂ + C₁₃) / 2)\r\nPlayer2.change = round((-C₁₂ + C₂₃) / 2)\r\nPlayer3.change = round((-C₁₃ + -C₂₃) / 2)\r\n```\r\n\r\n#### Example Calculation (Pedja/Marko/Johnny):\r\n- **D Values**: -18, -32, -14 (Pedja dominated with -500 score)\r\n- **T Values**: -1.4, -2.8, -1.4 (Pedja had highest rating, so negative expectations)\r\n- **N Values**: -0.3, -0.3, -0.3 (All performed as expected relative to each other)\r\n- **Final Changes**: Pedja: -27, Marko: +2, Johnny: +25\r\n\r\n**Key Insight**: Pedja had the best performance (-500 score) but **lost** rating points because his high initial rating (1200) created high expectations that even his excellent performance couldn't fully meet.\r\n\r\n#### Differences from Chess ELO:\r\n1. **3 Players**: Each player's change considers performance against both opponents\r\n2. **No Draws**: Scores are always different (theoretically ties possible but extremely rare) \r\n3. **Base Rating**: Uses 1000 instead of chess's 1200\r\n4. **Score Normalization**: Performance scaled by bula (game length)\r\n\r\n### Installation\r\n\r\n```bash\r\nnpm install preferans-rating-js\r\n```\r\n\r\n### Requirements\r\n\r\n- Node.js ≥ 16.0.0\r\n- TypeScript support included\r\n","readmeFilename":"README.md"}