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### Bitmap-Index Library
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This TypeScript library provides a bitmap implementation (`Bitmap`) that allows efficient manipulation of a bitmap data structure, useful for various indexing and set operations.
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#### Features
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- **Set Operations:** Supports set, remove, contains, and clear operations on the bitmap.
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- **Logical Operations:** Provides AND, AND-NOT, OR, and XOR operations between bitmaps.
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- **Iteration and Filtering:** Includes range iteration and filtering based on user-defined conditions.
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- **Counting and Extremes:** Methods to count set bits (`count`), find the minimum and maximum set bit (`min`, `max`), as well as the minimum and maximum unset bit (`minZero`, `maxZero`).
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- **Cloning:** Supports cloning of the bitmap instance.
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#### Installation
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You can install the library via npm:
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```bash
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npm install bitmap-index
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```
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#### Usage Example
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```typescript
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import { Bitmap } from 'bitmap-index';
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// Create a new Bitmap with a size of 32 bits
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const bitmap = new Bitmap(32);
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// Set bits
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bitmap.set(2);
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bitmap.set(5);
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bitmap.set(10);
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// Check if a bit is set
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console.log(bitmap.contains(5)); // true
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console.log(bitmap.contains(3)); // false
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// Perform logical operations with another bitmap
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const otherBitmap = new Bitmap(32);
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otherBitmap.set(5);
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otherBitmap.set(10);
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const andResult = bitmap.and(otherBitmap); // Bitmap with bits [5, 10]
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const orResult = bitmap.or(otherBitmap); // Bitmap with bits [2, 5, 10]
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const xorResult = bitmap.xor(otherBitmap); // Bitmap with bits [2]
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// Iterate over set bits within a range
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bitmap.range((x) => {
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console.log(`Bit ${x} is set`);
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return true; // Continue iterating
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});
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// Filter based on a condition
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bitmap.filter((x) => x % 2 === 0); // Remove odd-numbered bits
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// Count the number of set bits
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console.log(bitmap.count()); // 1
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// Find the minimum and maximum set bits
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console.log(bitmap.min()); // 2
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console.log(bitmap.max()); // 10
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// Clear all bits
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bitmap.clear();
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// Clone the bitmap
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const clonedBitmap = bitmap.clone();
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// Further operations can be performed on clonedBitmap...
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```
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#### API Documentation
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- **Bitmap Class**
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- **Constructor:** `new Bitmap(size: number = 32)`
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- **Set Operations:** `set(x: number)`, `remove(x: number)`, `contains(x: number)`, `clear()`
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- **Logical Operations:** `and(bitmap: Bitmap)`, `andNot(bitmap: Bitmap)`, `or(bitmap: Bitmap)`, `xor(bitmap: Bitmap)`
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- **Iteration and Filtering:** `range(fn: (x: number) => boolean)`, `filter(fn: (x: number) => boolean)`
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- **Count and Extremes:** `count()`, `min()`, `max()`, `minZero()`, `maxZero()`
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- **Cloning:** `clone(): Bitmap`
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