Real-Time Processing

Performance Targets

Benchmarks

Processing Pipeline

Stride-Based Embedding

Payload pixels are distributed across the image using configurable stride for redundancy:

function embedPattern(imageData, pattern, options = {}) {
  const { startOffset = 0, stride = 4, redundancy = 16 } = options;
  const pixels = imageData.data;  // Uint8ClampedArray (RGBA)

  // Build 4-pixel payload (48 bits total)
  const payload = [
    { r: regionEnc.primary, g: zEnc.primary, b: checksum },
    { r: regionEnc.secondary, g: zEnc.secondary, b: token1 & 0x0F },
    { r: (token1 >> 4) & 0x0F, g: (token1 >> 8) & 0x0F, b: token2 & 0x0F },
    { r: (token2 >> 4) & 0x0F, g: (token2 >> 8) & 0x0F, b: version }
  ];

  // Embed with stride-based distribution
  let pixelIndex = startOffset;
  for (let rep = 0; rep < redundancy; rep++) {
    for (let p = 0; p < 4; p++) {
      const i = pixelIndex * 4;  // RGBA offset
      pixels[i + 0] = (pixels[i + 0] & 0xF0) | payload[p].r;  // R
      pixels[i + 1] = (pixels[i + 1] & 0xF0) | payload[p].g;  // G
      pixels[i + 2] = (pixels[i + 2] & 0xF0) | payload[p].b;  // B
      pixelIndex += stride;
    }
  }
  return imageData;
}

TypedArray Operations

Direct Uint8ClampedArray manipulation avoids memory allocation overhead:

// Direct LSB extraction without intermediate objects
function extractPixelLSB(pixels, pixelIndex) {
  const i = pixelIndex * 4;
  if (i + 3 >= pixels.length) return null;

  // Direct array access - no object allocation
  return {
    r: pixels[i + 0] & 0x0F,  // Lower 4 bits of R
    g: pixels[i + 1] & 0x0F,  // Lower 4 bits of G
    b: pixels[i + 2] & 0x0F   // Lower 4 bits of B
  };
}

// Batch extraction with pre-allocated arrays
function extractPayloadInstance(pixels, startIndex, stride) {
  const p0 = extractPixelLSB(pixels, startIndex);
  const p1 = extractPixelLSB(pixels, startIndex + stride);
  const p2 = extractPixelLSB(pixels, startIndex + stride * 2);
  const p3 = extractPixelLSB(pixels, startIndex + stride * 3);

  // Decode components from nibbles
  return { regionId, z, checksum, token1, token2, version };
}

Pre-computed Lookup Tables

// APL encoding maps are static objects - no runtime computation
const APL_MAPS = {
  SPIRAL: {
    encode: { 'e': 0b00, 'Φ': 0b01, 'π': 0b10 },
    decode: ['e', 'Φ', 'π']
  },
  OPERATOR: {
    encode: { 'U': 0b00, 'M': 0b01, 'C': 0b10 },
    decode: ['U', 'M', 'C']
  },
  // ... pre-computed for all components
};

// Roman numeral conversion uses cached lookup
const ROMAN_VALUES = [
  [100, 'C'], [90, 'XC'], [50, 'L'], [40, 'XL'],
  [10, 'X'], [9, 'IX'], [5, 'V'], [4, 'IV'], [1, 'I']
];

Physics Computation

All physics values computed in a single pass with minimal function calls:

function computePhysics(z) {
  const zc = 0.8660254;  // √3/2 (cached constant)

  // All formulas use the same (z - zc) computation
  const delta = z - zc;
  const deltaSq = delta * delta;

  const cascade = 1 + 0.5 * Math.exp(-deltaSq / 0.004);
  const kuramoto = -Math.tanh(delta * 12) * 0.4 * cascade;
  const negentropy = Math.exp(-55.71 * deltaSq);

  // Domain determination with minimal branching
  const domain = z < 0.857 ? 'ABSENCE' : z <= 0.877 ? 'LENS' : 'PRESENCE';

  return { z, domain, cascade, kuramoto, negentropy };
}

Optimization Roadmap

Roundtrip Verification

// Verify encode/decode integrity
const result = WumboMRP.verifyRoundtrip({
  z: 0.866,
  regionId: 47
}, { width: 64, height: 64 });

console.log(result.success);              // true
console.log(result.errors.zError);        // < 0.01
console.log(result.decoded.confidence);   // > 0.9