cogscale/cogScale.js

A JavaScript library for cognitive scaling functions including Prospect Theory, Power Law, and Weber-Fechner Law

// cogscale.js

const cogScale = (() => {
  // 1. Prospect Theory Scaling Function
  function prospectTheory(x, alpha = 0.88, beta = 0.88, lambda = 2.25) {
    if (x >= 0) {
      return Math.pow(x, alpha);
    } else {
      return -lambda * Math.pow(-x, beta);
    }
  }

  // 2. Area Visualization Power Law Interpolation (normalize to 1)
  // Assumes input domain is [0, 1], compensates for perceived underestimation with exponent < 1
  function powerAreaScale(x, a = 0.6) {
    const normalized = Math.pow(x, a);
    const maxVal = Math.pow(1, a); // always 1
    return normalized / maxVal;
  }

  // 3. Weber–Fechner Law Scaling (logarithmic scaling)
  function weberFechner(x, k = 1) {
    return k * Math.log(x + 1); // +1 to avoid log(0)
  }

  return {
    prospectTheory,
    powerAreaScale,
    weberFechner,
  };
})();

// Export for Node.js
if (typeof module !== 'undefined' && module.exports) {
  module.exports = cogScale;
}
// Export for browser
if (typeof window !== 'undefined') {
  window.cogScale = cogScale;
}