suanming/server/services/common/EnhancedRandom.cjs

// 增强随机数生成器
// 实现更真实的概率分布，提升易经金钱卦的准确性

const crypto = require('crypto');

class EnhancedRandom {
  constructor() {
    // 初始化种子池
    this.seedPool = [];
    this.poolSize = 256;
    this.currentIndex = 0;
    
    // 初始化熵源
    this.initializeEntropyPool();
    
    // 金钱卦的真实概率分布（基于传统投掷硬币的物理特性）
    this.coinProbabilities = {
      // 考虑硬币的物理特性，正面略重于反面
      heads: 0.501, // 正面（阳）
      tails: 0.499  // 反面（阴）
    };
    
    // 六爻概率分布（基于传统易学理论）
    this.yaoDistribution = {
      oldYin: 0.125,   // 老阴（6）- 变阳
      youngYang: 0.375, // 少阳（7）
      youngYin: 0.375,  // 少阴（8）
      oldYang: 0.125    // 老阳（9）- 变阴
    };
  }
  
  // 初始化熵源池
  initializeEntropyPool() {
    // 使用多种熵源
    const sources = [
      Date.now(),
      process.hrtime.bigint(),
      Math.random() * 1000000,
      process.pid,
      process.uptime() * 1000
    ];
    
    // 生成高质量随机种子池
    for (let i = 0; i < this.poolSize; i++) {
      const entropy = sources.reduce((acc, source, index) => {
        return acc ^ (typeof source === 'bigint' ? Number(source) : source) * (i + index + 1);
      }, 0);
      
      // 使用crypto模块增强随机性
      const cryptoBytes = crypto.randomBytes(4);
      const cryptoValue = cryptoBytes.readUInt32BE(0);
      
      this.seedPool[i] = (entropy ^ cryptoValue) % 2147483647;
    }
  }
  
  // 获取高质量随机数（0-1之间）
  getHighQualityRandom() {
    // 使用线性同余生成器改进版
    const a = 1664525;
    const c = 1013904223;
    const m = 2147483647;
    
    this.currentIndex = (this.currentIndex + 1) % this.poolSize;
    this.seedPool[this.currentIndex] = (a * this.seedPool[this.currentIndex] + c) % m;
    
    // 结合crypto随机数提高质量
    const cryptoRandom = crypto.randomBytes(4).readUInt32BE(0) / 4294967295;
    const poolRandom = this.seedPool[this.currentIndex] / m;
    
    // 使用XOR混合提高随机性
    return (poolRandom + cryptoRandom) / 2;
  }
  
  // 模拟真实硬币投掷
  simulateRealCoinToss() {
    const random = this.getHighQualityRandom();
    
    // 考虑硬币的物理特性和投掷环境
    const environmentFactor = this.getEnvironmentFactor();
    const adjustedProbability = this.coinProbabilities.heads + environmentFactor;
    
    return random < adjustedProbability ? 3 : 2; // 3=正面(阳), 2=反面(阴)
  }
  
  // 获取环境因子（模拟真实投掷环境的微小变化）
  getEnvironmentFactor() {
    const time = Date.now();
    const microFactor = (time % 1000) / 100000; // 微小的时间因子
    const randomFactor = (this.getHighQualityRandom() - 0.5) / 1000; // 微小的随机因子
    
    return (microFactor + randomFactor) * 0.001; // 很小的调整因子
  }
  
  // 生成金钱卦的一爻
  generateCoinYao() {
    // 投掷三枚硬币
    const coin1 = this.simulateRealCoinToss();
    const coin2 = this.simulateRealCoinToss();
    const coin3 = this.simulateRealCoinToss();
    
    const sum = coin1 + coin2 + coin3;
    
    // 根据总和确定爻的性质
    switch (sum) {
      case 6: return { value: 0, type: 'oldYin', changing: true, description: '老阴，变阳' };
      case 7: return { value: 1, type: 'youngYang', changing: false, description: '少阳' };
      case 8: return { value: 0, type: 'youngYin', changing: false, description: '少阴' };
      case 9: return { value: 1, type: 'oldYang', changing: true, description: '老阳，变阴' };
      default: return { value: 1, type: 'youngYang', changing: false, description: '少阳' };
    }
  }
  
  // 生成完整的六爻卦象
  generateFullHexagram() {
    const lines = [];
    const changingLines = [];
    
    for (let i = 0; i < 6; i++) {
      const yao = this.generateCoinYao();
      lines.push(yao.value);
      
      if (yao.changing) {
        changingLines.push(i + 1); // 爻位从1开始计数
      }
    }
    
    return {
      lines: lines,
      changingLines: changingLines,
      binary: lines.join(''),
      method: '增强金钱卦法',
      quality: this.assessRandomQuality()
    };
  }
  
  // 使用正态分布生成随机数
  generateNormalRandom(mean = 0, stdDev = 1) {
    // Box-Muller变换生成正态分布
    if (this.spare !== undefined) {
      const tmp = this.spare;
      delete this.spare;
      return tmp * stdDev + mean;
    }
    
    const u1 = this.getHighQualityRandom();
    const u2 = this.getHighQualityRandom();
    
    const mag = stdDev * Math.sqrt(-2.0 * Math.log(u1));
    const z0 = mag * Math.cos(2.0 * Math.PI * u2) + mean;
    const z1 = mag * Math.sin(2.0 * Math.PI * u2) + mean;
    
    this.spare = z1;
    return z0;
  }
  
  // 基于时间和用户因素的个性化随机数
  generatePersonalizedRandom(userId, question) {
    // 基于用户ID和问题生成个性化种子
    const userSeed = this.hashString(userId || 'anonymous');
    const questionSeed = this.hashString(question || 'general');
    const timeSeed = Date.now() % 86400000; // 一天内的毫秒数
    
    // 组合种子
    const combinedSeed = (userSeed ^ questionSeed ^ timeSeed) % 2147483647;
    
    // 临时调整种子池
    const originalSeed = this.seedPool[this.currentIndex];
    this.seedPool[this.currentIndex] = combinedSeed;
    
    const result = this.getHighQualityRandom();
    
    // 恢复原始种子
    this.seedPool[this.currentIndex] = originalSeed;
    
    return result;
  }
  
  // 字符串哈希函数
  hashString(str) {
    let hash = 0;
    for (let i = 0; i < str.length; i++) {
      const char = str.charCodeAt(i);
      hash = ((hash << 5) - hash) + char;
      hash = hash & hash; // 转换为32位整数
    }
    return Math.abs(hash);
  }
  
  // 评估随机数质量
  assessRandomQuality() {
    const samples = [];
    for (let i = 0; i < 100; i++) {
      samples.push(this.getHighQualityRandom());
    }
    
    // 计算均值和方差
    const mean = samples.reduce((a, b) => a + b) / samples.length;
    const variance = samples.reduce((acc, val) => acc + Math.pow(val - mean, 2), 0) / samples.length;
    
    // 评估质量
    const meanQuality = Math.abs(mean - 0.5) < 0.05 ? 'good' : 'fair';
    const varianceQuality = variance > 0.08 && variance < 0.12 ? 'good' : 'fair';
    
    return {
      overall: meanQuality === 'good' && varianceQuality === 'good' ? 'excellent' : 'good',
      mean: mean,
      variance: variance,
      samples: samples.length
    };
  }
  
  // 重新初始化熵源（定期调用以保持随机性）
  refreshEntropyPool() {
    this.initializeEntropyPool();
  }
  
  // 获取随机数生成器统计信息
  getStatistics() {
    return {
      poolSize: this.poolSize,
      currentIndex: this.currentIndex,
      coinProbabilities: this.coinProbabilities,
      yaoDistribution: this.yaoDistribution,
      quality: this.assessRandomQuality()
    };
  }
}

module.exports = EnhancedRandom;