Quiver is a Swift package that provides powerful numerical computing capabilities for Swift applications. This lightweight, functional and educational framework extends Swift's native Array type with vector operations, statistical functions, and array manipulation tools.

• Vector Operations

  • Element-wise arithmetic operations (+, -, *, /)
  • Dot product, magnitude, normalization
  • Angle calculations and vector projections
  • Matrix-vector transformations

• Statistical Functions

  • Basic statistics (mean, median, min, max)
  • Variance and standard deviation
  • Cumulative operations (sum, product)

• Array Generation and Manipulation

  • Generate arrays (zeros, ones, linspace, random)
  • Create special matrices (identity, diagonal)
  • Shape information and transformation

• Data Analysis Tools

  • Boolean operations and filtering
  • Broadcasting operations
  • Comparison operations

import Quiver

// Calculate the distance between two points in a game
let playerPosition = [42.5, 67.3]
let targetPosition = [56.2, 89.7]

// Vector subtraction and magnitude calculation
let displacement = targetPosition - playerPosition
let distance = displacement.magnitude  // 26.24

// Is the target within interaction range?
if distance < 30.0 {
    print("Target within range!")
}

Quiver is built on several core principles:

• Swift-first approach: Extends native Swift arrays rather than creating custom types
• No conversion overhead: Work directly with Swift arrays without type conversion
• Educational focus: Clear implementations that map to mathematical concepts
• Progressive disclosure: Simple operations are simple, complex operations are possible

Comprehensive documentation is available including:

• Vector operation guides
• Statistical function references
• Linear algebra primer for beginners
• Swift Charts integration examples

Quiver is particularly useful for:

• iOS/macOS developers working with numerical data or spatial calculations
• Game developers implementing physics, collision detection, or pathfinding
• Data visualization projects using Swift Charts
• Educational settings teaching vector mathematics and numerical computing
• Data analysis tasks requiring statistical operations

Quiver seamlessly integrates with Swift Charts for data visualization:

• Generate sequences for x-coordinates
• Calculate statistics for reference lines
• Normalize data for consistent scaling
• Filter data points based on conditions

Contributions are welcome! Please feel free to submit a Pull Request.

Quiver is available under the Apache License, Version 2.0. See the LICENSE file for more info.

Have a question? Feel free to contact me on LinkedIn.