BitMatrix Spatial Computing

API documentation

API Documentation

# BitMatrix Spatial Computing: API Documentation

*Developed by Euan Craig (DigitalEuan.com), New Zealand, 2025*
*With assistance from GPT, Gemini, Grok, and Manus*

## 1. Introduction

This document provides the formal API specification for the BitMatrix Spatial Computing framework.

## 2. Core API Components

### 2.1 BitField Classes

#### 2.1.1 BitField3D

```typescript
class BitField3D {
  /**
   * Creates a new 3D bitfield with the specified dimensions.
   * @param xDim Number of bits in the x dimension
   * @param yDim Number of bits in the y dimension
   * @param zDim Number of bits in the z dimension
   */
  constructor(xDim: number, yDim: number, zDim: number);
 
  /**
   * Gets the bit value at the specified coordinates.
   * @param x X coordinate
   * @param y Y coordinate
   * @param z Z coordinate
   * @returns Bit value (0 or 1)
   * @throws Error if coordinates are out of bounds
   */
  getBit(x: number, y: number, z: number): number;
 
  /**
   * Sets the bit value at the specified coordinates.
   * @param x X coordinate
   * @param y Y coordinate
   * @param z Z coordinate
   * @param value Bit value (0 or 1)
   * @throws Error if coordinates are out of bounds
   */
  setBit(x: number, y: number, z: number, value: number): void;
 
  /**
   * Sets a property for the bit at the specified coordinates.
   * @param x X coordinate
   * @param y Y coordinate
   * @param z Z coordinate
   * @param propertyName Name of the property
   * @param propertyValue Value of the property
   * @throws Error if coordinates are out of bounds
   */
  setProperty(x: number, y: number, z: number, propertyName: string, propertyValue: any): void;
 
  /**
   * Gets a property for the bit at the specified coordinates.
   * @param x X coordinate
   * @param y Y coordinate
   * @param z Z coordinate
   * @param propertyName Name of the property
   * @returns Value of the property
   * @throws Error if coordinates are out of bounds or property doesn't exist
   */
  getProperty(x: number, y: number, z: number, propertyName: string): any;
 
  /**
   * Gets all property names for the bit at the specified coordinates.
   * @param x X coordinate
   * @param y Y coordinate
   * @param z Z coordinate
   * @returns Array of property names
   * @throws Error if coordinates are out of bounds
   */
  getPropertyNames(x: number, y: number, z: number): string[];
 
  /**
   * Gets the dimensions of the bitfield.
   * @returns Tuple containing [xDim, yDim, zDim]
   */
  getDimensions(): [number, number, number];
 
  /**
   * Creates a deep copy of this bitfield.
   * @returns New BitField3D instance with the same data
   */
  copy(): BitField3D;
}
```

#### 2.1.2 BitField4D

```typescript
class BitField4D {
  /**
   * Creates a new 4D bitfield with the specified dimensions.
   * @param xDim Number of bits in the x dimension
   * @param yDim Number of bits in the y dimension
   * @param zDim Number of bits in the z dimension
   * @param tDim Number of bits in the t (time) dimension
   */
  constructor(xDim: number, yDim: number, zDim: number, tDim: number);
 
  /**
   * Gets the bit value at the specified coordinates.
   * @param x X coordinate
   * @param y Y coordinate
   * @param z Z coordinate
   * @param t T (time) coordinate
   * @returns Bit value (0 or 1)
   * @throws Error if coordinates are out of bounds
   */
  getBit(x: number, y: number, z: number, t: number): number;
 
  /**
   * Sets the bit value at the specified coordinates.
   * @param x X coordinate
   * @param y Y coordinate
   * @param z Z coordinate
   * @param t T (time) coordinate
   * @param value Bit value (0 or 1)
   * @throws Error if coordinates are out of bounds
   */
  setBit(x: number, y: number, z: number, t: number, value: number): void;
 
  /**
   * Sets a property for the bit at the specified coordinates.
   * @param x X coordinate
   * @param y Y coordinate
   * @param z Z coordinate
   * @param t T (time) coordinate
   * @param propertyName Name of the property
   * @param propertyValue Value of the property
   * @throws Error if coordinates are out of bounds
   */
  setProperty(x: number, y: number, z: number, t: number, propertyName: string, propertyValue: any): void;
 
  /**
   * Gets a property for the bit at the specified coordinates.
   * @param x X coordinate
   * @param y Y coordinate
   * @param z Z coordinate
   * @param t T (time) coordinate
   * @param propertyName Name of the property
   * @returns Value of the property
   * @throws Error if coordinates are out of bounds or property doesn't exist
   */
  getProperty(x: number, y: number, z: number, t: number, propertyName: string): any;
 
  /**
   * Gets all property names for the bit at the specified coordinates.
   * @param x X coordinate
   * @param y Y coordinate
   * @param z Z coordinate
   * @param t T (time) coordinate
   * @returns Array of property names
   * @throws Error if coordinates are out of bounds
   */
  getPropertyNames(x: number, y: number, z: number, t: number): string[];
 
  /**
   * Gets the dimensions of the bitfield.
   * @returns Tuple containing [xDim, yDim, zDim, tDim]
   */
  getDimensions(): [number, number, number, number];
 
  /**
   * Creates a deep copy of this bitfield.
   * @returns New BitField4D instance with the same data
   */
  copy(): BitField4D;
}
```

### 2.2 Spatial Operations

#### 2.2.1 Dimensional Mapping

```typescript
/**
 * Maps a 1D linear array to a 3D bitfield.
 * @param linearArray 1D array of bit values
 * @param dimensions Target dimensions [xDim, yDim, zDim]
 * @returns New BitField3D instance
 * @throws Error if linearArray length doesn't match dimensions product
 */
function mapTo3D(linearArray: number[], dimensions: [number, number, number]): BitField3D;

/**
 * Maps a 1D linear array to a 4D bitfield.
 * @param linearArray 1D array of bit values
 * @param dimensions Target dimensions [xDim, yDim, zDim, tDim]
 * @returns New BitField4D instance
 * @throws Error if linearArray length doesn't match dimensions product
 */
function mapTo4D(linearArray: number[], dimensions: [number, number, number, number]): BitField4D;

/**
 * Extracts a 1D linear array from a 3D or 4D bitfield.
 * @param bitfield BitField3D or BitField4D instance
 * @returns 1D array of bit values
 */
function extractLinear(bitfield: BitField3D | BitField4D): number[];
```

#### 2.2.2 Spatial Transformations

```typescript
/**
 * Rotates a 3D bitfield around the specified axis.
 * @param bitfield BitField3D instance to rotate
 * @param axis Rotation axis ('x', 'y', or 'z')
 * @param angleDegrees Rotation angle in degrees
 * @returns New BitField3D instance with rotated data
 */
function rotate3D(bitfield: BitField3D, axis: 'x' | 'y' | 'z', angleDegrees: number): BitField3D;

/**
 * Translates a 3D bitfield by the specified vector.
 * @param bitfield BitField3D instance to translate
 * @param vector Translation vector [dx, dy, dz]
 * @returns New BitField3D instance with translated data
 */
function translate3D(bitfield: BitField3D, vector: [number, number, number]): BitField3D;

/**
 * Scales a 3D bitfield by the specified factors.
 * @param bitfield BitField3D instance to scale
 * @param factors Scaling factors [sx, sy, sz]
 * @returns New BitField3D instance with scaled data
 */
function scale3D(bitfield: BitField3D, factors: [number, number, number]): BitField3D;

/**
 * Applies perspective projection to a 3D bitfield.
 * @param bitfield BitField3D instance to project
 * @param distance Distance from the projection plane
 * @returns New BitField3D instance with projected data
 */
function applyPerspective(bitfield: BitField3D, distance: number): BitField3D;

/**
 * Mirrors a 3D bitfield across the specified plane.
 * @param bitfield BitField3D instance to mirror
 * @param plane Plane to mirror across ('xy', 'xz', or 'yz')
 * @returns New BitField3D instance with mirrored data
 */
function mirror3D(bitfield: BitField3D, plane: 'xy' | 'xz' | 'yz'): BitField3D;
```

#### 2.2.3 Property-Based Operations

```typescript
/**
 * Sets a shape property for a region in the bitfield.
 * @param bitfield BitField3D or BitField4D instance
 * @param shape Shape type ('cube', 'sphere', 'cylinder', etc.)
 * @param center Center coordinates of the shape
 * @param parameters Shape-specific parameters (radius, dimensions, etc.)
 * @returns Modified bitfield instance
 */
function setShape(bitfield: BitField3D | BitField4D, shape: string, center: number[], parameters: any): BitField3D | BitField4D;

/**
 * Sets a color property for a region in the bitfield.
 * @param bitfield BitField3D or BitField4D instance
 * @param color Color value (RGB, hex, or name)
 * @param region Region to apply the color to (coordinates or shape)
 * @returns Modified bitfield instance
 */
function setColor(bitfield: BitField3D | BitField4D, color: string, region: any): BitField3D | BitField4D;

/**
 * Gets all bits with the specified property value.
 * @param bitfield BitField3D or BitField4D instance
 * @param propertyName Name of the property to check
 * @param propertyValue Value of the property to match
 * @returns Array of coordinates of matching bits
 */
function getBitsByProperty(bitfield: BitField3D | BitField4D, propertyName: string, propertyValue: any): number[][];
```

#### 2.2.4 Block Operations

```typescript
/**
 * Creates a block (bitfield) with the specified dimensions and initial value.
 * @param dimensions Dimensions of the block [xDim, yDim, zDim] or [xDim, yDim, zDim, tDim]
 * @param value Initial value for all bits (0 or 1), defaults to 0
 * @returns New BitField3D or BitField4D instance
 */
function createBlock(dimensions: number[], value?: number): BitField3D | BitField4D;

/**
 * Inserts a block into a target bitfield at the specified position.
 * @param targetBitfield Target BitField3D or BitField4D instance
 * @param block Block to insert (BitField3D or BitField4D)
 * @param position Position to insert the block at
 * @returns Modified target bitfield
 * @throws Error if block doesn't fit within target at the specified position
 */
function insertBlock(targetBitfield: BitField3D | BitField4D, block: BitField3D | BitField4D, position: number[]): BitField3D | BitField4D;

/**
 * Extracts a block from a bitfield at the specified position.
 * @param bitfield Source BitField3D or BitField4D instance
 * @param position Start position of the block
 * @param dimensions Dimensions of the block to extract
 * @returns New BitField3D or BitField4D instance containing the extracted block
 * @throws Error if the specified block extends beyond the source bitfield
 */
function extractBlock(bitfield: BitField3D | BitField4D, position: number[], dimensions: number[]): BitField3D | BitField4D;
```

### 2.3 Temporal Operations

#### 2.3.1 Temporal Mapping

```typescript
/**
 * Creates a time slice from a 4D bitfield at the specified time index.
 * @param bitfield4D Source BitField4D instance
 * @param timeIndex Time index to extract
 * @returns New BitField3D instance representing the time slice
 * @throws Error if timeIndex is out of bounds
 */
function createTimeSlice(bitfield4D: BitField4D, timeIndex: number): BitField3D;

/**
 * Creates a time series from a 3D bitfield by repeating it over time.
 * @param bitfield3D Source BitField3D instance
 * @param timeSteps Number of time steps to create
 * @returns New BitField4D instance with the time series
 */
function createTimeSeries(bitfield3D: BitField3D, timeSteps: number): BitField4D;

/**
 * Creates a time window from a 4D bitfield between the specified time indices.
 * @param bitfield4D Source BitField4D instance
 * @param startTime Start time index (inclusive)
 * @param endTime End time index (exclusive)
 * @returns New BitField4D instance with the time window
 * @throws Error if time indices are out of bounds
 */
function createTimeWindow(bitfield4D: BitField4D, startTime: number, endTime: number): BitField4D;
```

#### 2.3.2 Temporal Transformations

```typescript
/**
 * Reverses the time dimension of a 4D bitfield.
 * @param bitfield4D Source BitField4D instance
 * @returns New BitField4D instance with reversed time
 */
function timeReverse(bitfield4D: BitField4D): BitField4D;

/**
 * Scales the time dimension of a 4D bitfield.
 * @param bitfield4D Source BitField4D instance
 * @param scaleFactor Factor to scale time by (> 1 expands, < 1 compresses)
 * @returns New BitField4D instance with scaled time
 */
function timeScale(bitfield4D: BitField4D, scaleFactor: number): BitField4D;

/**
 * Shifts the time dimension of a 4D bitfield.
 * @param bitfield4D Source BitField4D instance
 * @param shiftAmount Amount to shift time by (positive or negative)
 * @returns New BitField4D instance with shifted time
 */
function timeShift(bitfield4D: BitField4D, shiftAmount: number): BitField4D;
```

#### 2.3.3 Temporal Pattern Functions

```typescript
/**
 * Creates a wave pattern in the time dimension.
 * @param spatialDimensions Spatial dimensions [xDim, yDim, zDim]
 * @param temporalDimension Number of time steps
 * @param waveType Type of wave ('sine', 'square', 'sawtooth', 'triangle')
 * @param frequency Wave frequency (cycles per time dimension)
 * @param amplitude Wave amplitude
 * @param phase Initial phase (in radians)
 * @returns New BitField4D instance with the wave pattern
 */
function createWave(
  spatialDimensions: [number, number, number],
  temporalDimension: number,
  waveType: 'sine' | 'square' | 'sawtooth' | 'triangle',
  frequency: number,
  amplitude: number,
  phase: number
): BitField4D;

/**
 * Creates a pulse pattern in the time dimension.
 * @param spatialDimensions Spatial dimensions [xDim, yDim, zDim]
 * @param temporalDimension Number of time steps
 * @param pulseWidth Width of each pulse
 * @param pulseInterval Interval between pulses
 * @param startTime Time index of the first pulse
 * @returns New BitField4D instance with the pulse pattern
 */
function createPulse(
  spatialDimensions: [number, number, number],
  temporalDimension: number,
  pulseWidth: number,
  pulseInterval: number,
  startTime: number
): BitField4D;

/**
 * Creates a gradient pattern in the time dimension.
 * @param spatialDimensions Spatial dimensions [xDim, yDim, zDim]
 * @param temporalDimension Number of time steps
 * @param startValue Starting value of the gradient
 * @param endValue Ending value of the gradient
 * @param gradientType Type of gradient ('linear', 'exponential', 'logarithmic')
 * @returns New BitField4D instance with the gradient pattern
 */
function createGradient(
  spatialDimensions: [number, number, number],
  temporalDimension: number,
  startValue: number,
  endValue: number,
  gradientType: 'linear' | 'exponential' | 'logarithmic'
): BitField4D;
```

### 2.4 Pattern Recognition and Neural Operations

#### 2.4.1 Pattern Detection

```typescript
/**
 * Finds a pattern within a bitfield.
 * @param bitfield Source BitField3D or BitField4D instance
 * @param pattern Pattern to search for (BitField3D or BitField4D)
 * @returns Array of positions where the pattern was found
 */
function findPattern(bitfield: BitField3D | BitField4D, pattern: BitField3D | BitField4D): number[][];

/**
 * Finds patterns similar to the target pattern within a threshold.
 * @param bitfield Source BitField3D or BitField4D instance
 * @param pattern Pattern to search for (BitField3D or BitField4D)
 * @param similarityThreshold Minimum similarity score (0.0 to 1.0)
 * @returns Array of [position, similarity] pairs for matching patterns
 */
function findSimilarPatterns(
  bitfield: BitField3D | BitField4D,
  pattern: BitField3D | BitField4D,
  similarityThreshold: number
): Array<[number[], number]>;

/**
 * Extracts features from a bitfield.
 * @param bitfield Source BitField3D or BitField4D instance
 * @param featureSize Size of features to extract
 * @returns Array of extracted features
 */
function extractFeatures(bitfield: BitField3D | BitField4D, featureSize: number[]): any[];
```

#### 2.4.2 Neural Network Operations

```typescript
/**
 * Creates a neural network for processing BitMatrix data.
 * @param inputDimensions Dimensions of the input bitfield
 * @param hiddenDimensions List of dimensions for hidden layers
 * @param outputDimensions Dimensions of the output bitfield
 * @returns Neural network object
 */
function createNeuralNetwork(
  inputDimensions: number[],
  hiddenDimensions: number[][],
  outputDimensions: number[]
): any;

/**
 * Applies a neural network to process a bitfield.
 * @param inputBitfield Input BitField3D or BitField4D instance
 * @param network Neural network object
 * @returns Output BitField3D or BitField4D instance
 */
function applyNeuralNetwork(inputBitfield: BitField3D | BitField4D, network: any): BitField3D | BitField4D;

/**
 * Trains a neural network using the provided training data.
 * @param network Neural network object
 * @param trainingData Array of [input, expectedOutput] pairs
 * @param learningRate Learning rate for training
 * @param epochs Number of training epochs
 * @returns Updated neural network object
 */
function trainNeuralNetwork(
  network: any,
  trainingData: Array<[BitField3D | BitField4D, BitField3D | BitField4D]>,
  learningRate: number,
  epochs: number
): any;
```

#### 2.4.3 Convolutional Neural Network Operations

```typescript
/**
 * Creates a convolutional filter for CNN operations.
 * @param dimensions Dimensions of the filter
 * @param weights Filter weights (optional, random if not provided)
 * @returns Convolutional filter object
 */
function createConvolutionalFilter(dimensions: number[], weights?: number[]): any;

/**
 * Applies a convolutional filter to a bitfield.
 * @param bitfield Source BitField3D or BitField4D instance
 * @param filter Convolutional filter object
 * @param stride Stride for the convolution operation
 * @param padding Padding type ('valid', 'same', or 'full')
 * @returns New BitField3D or BitField4D instance with convolution results
 */
function applyConvolution(
  bitfield: BitField3D | BitField4D,
  filter: any,
  stride: number[],
  padding: 'valid' | 'same' | 'full'
): BitField3D | BitField4D;
```

### 2.5 Quantum-Inspired Operations

#### 2.5.1 Superposition and Entanglement

```typescript
/**
 * Creates a superposition of states.
 * @param dimensions Dimensions of the bitfield
 * @param numStates Number of states in the superposition
 * @returns Tuple of [states, probabilities]
 */
function createSuperposition(dimensions: number[], numStates: number): [any[], number[]];

/**
 * Measures a superposition to get a definite state.
 * @param states Array of possible states
 * @param probabilities Array of state probabilities
 * @returns Tuple of [selectedState, selectedIndex]
 */
function measureSuperposition(states: any[], probabilities: number[]): [any, number];

/**
 * Creates an entangled pair of bits.
 * @param bitfield1 First BitField3D or BitField4D instance
 * @param position1 Position of the first bit
 * @param bitfield2 Second BitField3D or BitField4D instance
 * @param position2 Position of the second bit
 * @returns Tuple of [modifiedBitfield1, modifiedBitfield2]
 */
function createEntangledPair(
  bitfield1: BitField3D | BitField4D,
  position1: number[],
  bitfield2: BitField3D | BitField4D,
  position2: number[]
): [BitField3D | BitField4D, BitField3D | BitField4D];
```

#### 2.5.2 Quantum-Inspired Algorithms

```typescript
/**
 * Applies a quantum Fourier transform to a bitfield.
 * @param bitfield Source BitField3D or BitField4D instance
 * @returns New BitField3D or BitField4D instance with transformed data
 */
function applyQuantumFourier(bitfield: BitField3D | BitField4D): BitField3D | BitField4D;

/**
 * Applies a quantum-inspired search algorithm to find a target pattern.
 * @param bitfield Source BitField3D or BitField4D instance
 * @param targetPattern Pattern to search for
 * @param numIterations Number of iterations (optional, optimal if not provided)
 * @returns Array of positions where the pattern was found
 */
function applyQuantumSearch(
  bitfield: BitField3D | BitField4D,
  targetPattern: BitField3D | BitField4D,
  numIterations?: number
): number[][];

/**
 * Applies quantum phase estimation algorithm.
 * @param bitfield Source BitField3D or BitField4D instance
 * @param operator Unitary operator to estimate the phase of
 * @param precision Number of bits of precision
 * @returns Estimated phase
 */
function applyQuantumPhaseEstimation(
  bitfield: BitField3D | BitField4D,
  operator: any,
  precision: number
): number;
```

### 2.6 5D KTA Operations

#### 2.6.1 Dimensional Transformation Operators

```typescript
/**
 * Shifts information from one dimension to another.
 * @param bitfield Source BitField3D or BitField4D instance
 * @param sourceDim Source dimension index (0=x, 1=y, 2=z, 3=t)
 * @param targetDim Target dimension index (0=x, 1=y, 2=z, 3=t)
 * @returns New BitField3D or BitField4D instance with transformed data
 */
function dimensionShift(
  bitfield: BitField3D | BitField4D,
  sourceDim: number,
  targetDim: number
): BitField3D | BitField4D;

/**
 * Projects (collapses) a dimension of a bitfield.
 * @param bitfield Source BitField3D or BitField4D instance
 * @param dimension Dimension to project (0=x, 1=y, 2=z, 3=t)
 * @param reductionOperation Operation to use for reduction ('or', 'and', 'majority')
 * @returns New BitField with one fewer dimension
 */
function dimensionProject(
  bitfield: BitField3D | BitField4D,
  dimension: number,
  reductionOperation: 'or' | 'and' | 'majority'
): BitField3D | BitField4D;

/**
 * Expands a bitfield along a dimension.
 * @param bitfield Source BitField3D or BitField4D instance
 * @param dimension Dimension to expand (0=x, 1=y, 2=z, 3=t)
 * @param size Size of the expanded dimension
 * @param spreadingFunction Function to use for spreading values
 * @returns New BitField with expanded dimension
 */
function dimensionExpand(
  bitfield: BitField3D | BitField4D,
  dimension: number,
  size: number,
  spreadingFunction: (index: number) => number
): BitField3D | BitField4D;
```

#### 2.6.2 Kinetic Operations

```typescript
/**
 * Calculates the kinetic energy for a bit at the specified position.
 * @param bitfield Source BitField3D or BitField4D instance
 * @param position Position of the bit
 * @param kineticState Kinetic state value
 * @returns Kinetic energy value
 */
function calculateKineticEnergy(
  bitfield: BitField3D | BitField4D,
  position: number[],
  kineticState: number
): number;

/**
 * Applies a kinetic transformation to a bitfield.
 * @param bitfield Source BitField3D or BitField4D instance
 * @param energyFunction Function that calculates kinetic energy for each position
 * @returns New BitField3D or BitField4D instance with transformed data
 */
function applyKineticTransform(
  bitfield: BitField3D | BitField4D,
  energyFunction: (...coords: number[]) => number
): BitField3D | BitField4D;

/**
 * Propagates a kinetic wave through a bitfield.
 * @param bitfield Source BitField3D or BitField4D instance
 * @param propagationSpeed Wave propagation speed
 * @param damping Damping factor
 * @param timeSteps Number of time steps to simulate
 * @returns New BitField4D instance with wave propagation results
 */
function propagateKineticWave(
  bitfield: BitField3D | BitField4D,
  propagationSpeed: number,
  damping: number,
  timeSteps: number
): BitField4D;
```

### 2.7 Data Compression

#### 2.7.1 Compression Algorithms

```typescript
/**
 * Compresses a bitfield using LZW compression.
 * @param bitfield Source BitField3D or BitField4D instance
 * @returns Tuple of [compressedData, dictionary]
 */
function compressLZW(bitfield: BitField3D | BitField4D): [number[], any];

/**
 * Decompresses LZW-compressed data.
 * @param compressedData Compressed data codes
 * @param dictionary Compression dictionary
 * @returns New BitField3D or BitField4D instance with decompressed data
 */
function decompressLZW(compressedData: number[], dictionary: any): BitField3D | BitField4D;

/**
 * Compresses a bitfield using Run-Length Encoding.
 * @param bitfield Source BitField3D or BitField4D instance
 * @returns List of (value, length) tuples
 */
function compressRLE(bitfield: BitField3D | BitField4D): Array<[number, number]>;

/**
 * Decompresses RLE-compressed data.
 * @param compressedData List of (value, length) tuples
 * @param dimensions Target dimensions for the decompressed bitfield
 * @returns New BitField3D or BitField4D instance with decompressed data
 */
function decompressRLE(
  compressedData: Array<[number, number]>,
  dimensions: number[]
): BitField3D | BitField4D;
```

#### 2.7.2 Enhanced Compression

```typescript
/**
 * Implements enhanced data compression using BitMatrix techniques.
 * @param bitfield Source BitField3D or BitField4D instance
 * @returns Tuple of [compressedData, metadata]
 */
function enhancedCompression(bitfield: BitField3D | BitField4D): [any, any];

/**
 * Decompresses data using BitMatrix enhanced decompression.
 * @param compressedData Compressed data
 * @param metadata Compression metadata
 * @returns New BitField3D or BitField4D instance with decompressed data
 */
function enhancedDecompression(compressedData: any, metadata: any): BitField3D | BitField4D;
```

### 2.8 Error Correction

#### 2.8.1 Error Detection and Correction

```typescript
/**
 * Encodes a bitfield using Hamming code for error correction.
 * @param bitfield Source BitField3D or BitField4D instance
 * @returns New BitField3D or BitField4D instance with encoded data
 */
function encodeHamming(bitfield: BitField3D | BitField4D): BitField3D | BitField4D;

/**
 * Decodes a Hamming-encoded bitfield, correcting single-bit errors.
 * @param encodedBitfield Encoded BitField3D or BitField4D instance
 * @returns New BitField3D or BitField4D instance with decoded and corrected data
 */
function decodeHamming(encodedBitfield: BitField3D | BitField4D): BitField3D | BitField4D;

/**
 * Calculates the Hamming distance between two bitfields.
 * @param bitfield1 First BitField3D or BitField4D instance
 * @param bitfield2 Second BitField3D or BitField4D instance
 * @returns Hamming distance (number of differing bits)
 * @throws Error if bitfields have different dimensions
 */
function hammingDistance(
  bitfield1: BitField3D | BitField4D,
  bitfield2: BitField3D | BitField4D
): number;
```

## 3. Utility Functions

### 3.1 Conversion Utilities

```typescript
/**
 * Converts a BitField3D to a string representation.
 * @param bitfield Source BitField3D instance
 * @returns String representation of the bitfield
 */
function bitfield3DToString(bitfield: BitField3D): string;

/**
 * Creates a BitField3D from a string representation.
 * @param str String representation of a BitField3D
 * @returns New BitField3D instance
 */
function stringToBitField3D(str: string): BitField3D;

/**
 * Converts a BitField3D to a visual representation.
 * @param bitfield Source BitField3D instance
 * @returns ASCII art representation of the bitfield
 */
function visualizeBitField3D(bitfield: BitField3D): string;

/**
 * Converts between different dimensional representations.
 * @param bitfield Source BitField3D or BitField4D instance
 * @param targetDimensions Target dimensions
 * @returns New BitField3D or BitField4D instance with converted data
 */
function convertDimensions(
  bitfield: BitField3D | BitField4D,
  targetDimensions: number[]
): BitField3D | BitField4D;
```

### 3.2 File I/O

```typescript
/**
 * Saves a bitfield to a file.
 * @param bitfield BitField3D or BitField4D instance to save
 * @param filePath Path to save the file to
 * @param format File format ('binary', 'json', or 'compressed')
 * @returns Promise that resolves when the file is saved
 */
function saveBitField(
  bitfield: BitField3D | BitField4D,
  filePath: string,
  format: 'binary' | 'json' | 'compressed'
): Promise<void>;

/**
 * Loads a bitfield from a file.
 * @param filePath Path to load the file from
 * @param format File format ('binary', 'json', or 'compressed')
 * @returns Promise that resolves with the loaded BitField3D or BitField4D instance
 */
function loadBitField(
  filePath: string,
  format: 'binary' | 'json' | 'compressed'
): Promise<BitField3D | BitField4D>;
```

### 3.3 Performance Monitoring

```typescript
/**
 * Measures the performance of a BitMatrix operation.
 * @param operation Function to measure
 * @param args Arguments to pass to the operation
 * @returns Tuple of [result, executionTimeMs]
 */
function measurePerformance<T>(operation: (...args: any[]) => T, ...args: any[]): [T, number];

/**
 * Benchmarks multiple operations and compares their performance.
 * @param operations Array of [name, function] pairs to benchmark
 * @param args Arguments to pass to each operation
 * @param iterations Number of iterations for each operation
 * @returns Array of benchmark results
 */
function benchmarkOperations(
  operations: Array<[string, (...args: any[]) => any]>,
  args: any[],
  iterations: number
): Array<{name: string, averageTimeMs: number, minTimeMs: number, maxTimeMs: number}>;
```

## 4. Integration Examples

### 4.1 Basic Usage Example

```javascript
// Create a 3D bitfield
const bitfield = new BitField3D(8, 8, 8);

// Set some bits
bitfield.setBit(0, 0, 0, 1);
bitfield.setBit(7, 7, 7, 1);

// Set properties
bitfield.setProperty(0, 0, 0, 'color', 'red');
bitfield.setProperty(7, 7, 7, 'color', 'blue');

// Apply a rotation
const rotatedBitfield = rotate3D(bitfield, 'z', 90);

// Create a time series
const timeSeries = createTimeSeries(bitfield, 10);

// Apply a wave pattern
const wavePattern = createWave([8, 8, 8], 10, 'sine', 0.1, 1.0, 0);

// Compress the data
const [compressedData, metadata] = enhancedCompression(bitfield);

// Decompress the data
const decompressedBitfield = enhancedDecompression(compressedData, metadata);
```

### 4.2 Neural Network Example

```javascript
// Create input and output bitfields for training
const inputBitfield = new BitField3D(8, 8, 8);
const outputBitfield = new BitField3D(4, 4, 4);

// Set training data
// ... (set bits in inputBitfield and outputBitfield)

// Create a neural network
const network = createNeuralNetwork([8, 8, 8], [[32], [16]], [4, 4, 4]);

// Train the network
const trainedNetwork = trainNeuralNetwork(
  network,
  [[inputBitfield, outputBitfield]],
  0.01,
  1000
);

// Apply the network to new data
const newInput = new BitField3D(8, 8, 8);
// ... (set bits in newInput)
const predictedOutput = applyNeuralNetwork(newInput, trainedNetwork);
```

### 4.3 Quantum-Inspired Example

```javascript
// Create a bitfield
const bitfield = new BitField3D(8, 8, 8);

// Set a pattern
// ... (set bits to create a pattern)

// Create a target pattern to search for
const targetPattern = new BitField3D(2, 2, 2);
targetPattern.setBit(0, 0, 0, 1);
targetPattern.setBit(1, 1, 1, 1);

// Apply quantum search
const matchPositions = applyQuantumSearch(bitfield, targetPattern);

// Apply quantum Fourier transform
const transformedBitfield = applyQuantumFourier(bitfield);
```

## 5. Error Handling

The BitMatrix API uses a consistent error handling approach:

1. All functions validate their inputs and throw descriptive error messages for invalid inputs.
2. Errors include the function name and parameter that caused the error.
3. Out-of-bounds access attempts throw specific error messages.
4. Type mismatches (e.g., using a BitField3D where a BitField4D is expected) throw clear error messages.

Example error handling:

```javascript
try {
  const bitfield = new BitField3D(8, 8, 8);
  const value = bitfield.getBit(10, 10, 10); // Out of bounds
} catch (error) {
  console.error(`Error: ${error.message}`);
  // Error: Coordinates (10, 10, 10) out of bounds for bitfield with dimensions [8, 8, 8]
}
```

## 6. Performance Considerations

When using the BitMatrix API, consider the following performance guidelines:

1. Bitfields with dimensions larger than 128 in any dimension may require significant memory.
2. Quantum-inspired operations are computationally intensive and should be used judiciously.
3. For large bitfields, use block operations instead of bit-by-bit manipulation when possible.
4. Neural network operations scale with the product of input and output dimensions.
5. Enhanced compression provides better compression ratios but requires more computation.
6. Use the performance monitoring utilities to benchmark operations for your specific use case.

## 7. Version and Compatibility

- Current API Version: 1.0.0
- Minimum JavaScript/TypeScript Version: ES6/TypeScript 3.5+
- Browser Compatibility: Modern browsers (Chrome, Firefox, Safari, Edge)
- Node.js Compatibility: v12.0.0+

## 8. License and Attribution

The BitMatrix Spatial Computing framework is developed by Euan Craig (DigitalEuan.com) with assistance from GPT, Gemini, Grok, and Manus.