JS模拟Arknights卡池

js-gacha-arknights

2025年01月14日 15点37分21秒 • 游戏/arknights/技术 • 19054字 • ---

月初的时候和朋友一起讨论了下卡池的期望抽数，当时简单用NodeJs模拟了一下，现在有空了所以优化一下。下面是各类卡池的模拟平均抽数，基于1000000000(10亿)次抽卡模拟重复五次，以获取其期望抽数。下列代码你可以直接在浏览器里DevTools里执行，也可以在NodeJs里面npm i rlog-js后运行

获得任意6星

六星概率: 2%，50抽以上每抽增加2%概率即：0.02 * (pureCount <= 50 ? 1 : 1 + pureCount - 50))

const rlog =
  typeof window !== "undefined" ? console : new (require("rlog-js"))();
rlog.progress = rlog == console ? () => {} : rlog.progress;
const Gacha = (probability) => Math.random() < probability;
  
const num = 1000000000;
const repeat = 5;
  
let resultAll = [];
for (let i = 0; i < repeat; i++) {
  let progress = 0, count = 0, pureCount = 0, result = [];
  
  while (progress < num) {
    rlog.progress(++progress, num);
    count++;
    pureCount++;
    if (Gacha(0.02 * (pureCount <= 50 ? 1 : 1 + pureCount - 50))) {
      result.push(count);
      pureCount = count = 0;
    }
  }
  
  resultAll.push(num / result.length);
  rlog.log(`[${i+1}]OK:`, num / result.length);
}
  
let average = resultAll.reduce((sum, val) => sum + val, 0) / resultAll.length;
rlog.log("DONE:",average);

[1]OK: 34.59529592539372
[2]OK: 34.5991310082256
[3]OK: 34.59073060431148
[4]OK: 34.588859350387324
[5]OK: 34.591771606859396
DONE: 34.5931576990355

双UP池

UP的两个占六星出率的50%

获取任一当期UP

const rlog =
  typeof window !== "undefined" ? console : new (require("rlog-js"))();
rlog.progress = rlog == console ? () => {} : rlog.progress;
const Gacha = (probability) => Math.random() < probability;

const num = 1000000000;
const repeat = 5;

let resultAll = [];
for (let i = 0; i < repeat; i++) {
  let progress = 0, count = 0, pureCount = 0, result = [];

  while (progress < num) {
    rlog.progress(++progress, num);
    count++;
    pureCount++;
    if (Gacha(0.02 * (pureCount <= 50 ? 1 : 1 + pureCount - 50))) {
      if (Gacha(0.5)) {
        result.push(count);
        count = 0;
      }
      pureCount = 0;
    }
  }

  resultAll.push(num / result.length);
  rlog.log(`[${i+1}]OK:`, num / result.length);
}

let average = resultAll.reduce((sum, val) => sum + val, 0) / resultAll.length;
rlog.log("DONE:", average);

[1]OK: 69.1749551521472
[2]OK: 69.194680479032
[3]OK: 69.17733825110419
[4]OK: 69.17497429285018
[5]OK: 69.20638888467883
DONE: 69.18566741196248

获取指定当期UP

const rlog =
  typeof window !== "undefined" ? console : new (require("rlog-js"))();
rlog.progress = rlog == console ? () => {} : rlog.progress;
const Gacha = (probability) => Math.random() < probability;

const num = 1000000000;
const repeat = 5;

let resultAll = [];
for (let i = 0; i < repeat; i++) {
  let progress = 0, count = 0, pureCount = 0, result = [];

  while (progress < num) {
    rlog.progress(++progress, num);
    count++;
    pureCount++;
    if (Gacha(0.02 * (pureCount <= 50 ? 1 : 1 + pureCount - 50))) {
      if (Gacha(0.25)) {
        result.push(count);
        count = 0;
      }
      pureCount = 0;
    }
  }

  resultAll.push(num / result.length);
  rlog.log(`[${i+1}]OK:`, num / result.length);
}

let average = resultAll.reduce((sum, val) => sum + val, 0) / resultAll.length;
rlog.log("DONE:", average);

[1]OK: 138.3733520598603
[2]OK: 138.38325186250017
[3]OK: 138.32609380667049
[4]OK: 138.3889013208252
[5]OK: 138.3787517766102
DONE: 138.37007016529327

两个当期UP都抽到

const rlog =
  typeof window !== "undefined" ? console : new (require("rlog-js"))();
rlog.progress = rlog == console ? () => {} : rlog.progress;
const Gacha = (probability) => Math.random() < probability;

const num = 1000000000;
const repeat = 5;

let resultAll = [];
let goodsList = [];
for (let i = 0; i < repeat; i++) {
  let progress = 0,
    count = 0,
    pureCount = 0,
    result = [];

  while (progress < num) {
    rlog.progress(++progress, num);
    count++;
    pureCount++;
    if (Gacha(0.02 * (pureCount <= 50 ? 1 : 1 + pureCount - 50))) {
      if (Gacha(0.5)) {
        let good = Gacha(0.5) ? "A" : "B";
        if (!goodsList.includes(good) && goodsList.length !== 0) {
          result.push(count);
          count = 0;
          goodsList = [];
        } else {
          goodsList.push(good);
        }
      }
      pureCount = 0;
    }
  }

  resultAll.push(num / result.length);
  rlog.log(`[${i + 1}]OK:`, num / result.length);
}

let average = resultAll.reduce((sum, val) => sum + val, 0) / resultAll.length;
rlog.log("DONE:", average);

[1]OK: 207.49862687783664
[2]OK: 207.5666340787051
[3]OK: 207.54910040955664
[4]OK: 207.54194993548558
[5]OK: 207.6427050445757
DONE: 207.55980326923196

满潜指定UP

敢这么做的都是真正的勇士,向他们致敬

const rlog =
  typeof window !== "undefined" ? console : new (require("rlog-js"))();
rlog.progress = rlog == console ? () => {} : rlog.progress;
const Gacha = (probability) => Math.random() < probability;

const num = 1000000000;
const repeat = 5;

let resultAll = [];
let goodsList = [];
for (let i = 0; i < repeat; i++) {
  let progress = 0,
    count = 0,
    pureCount = 0,
    result = [];

  while (progress < num) {
    rlog.progress(++progress, num);
    count++;
    pureCount++;
    if (Gacha(0.02 * (pureCount <= 50 ? 1 : 1 + pureCount - 50))) {
      let good = Gacha(0.25) ? "A" : "other";
      if (good === "A" && goodsList.filter(item => item === "A").length >= 5) {
        result.push(count);
        count = 0;
        goodsList = [];
      } else {
        goodsList.push(good);
      }
      pureCount = 0;
    }
  }

  resultAll.push(num / result.length);
  rlog.log(`[${i + 1}]OK:`, num / result.length);
}

let average = resultAll.reduce((sum, val) => sum + val, 0) / resultAll.length;
rlog.log("DONE:", average);

[1]OK: 830.566163731169
[2]OK: 830.224143914374
[3]OK: 830.06150755771
[4]OK: 830.3241004061115
[5]OK: 830.5730621899886
DONE: 830.3497955598707

单UP池

获取当期UP

因为出率也是0.02*0.5，所以跟上面的#获取任一当期UP是一样的。

[1]OK: 69.1749551521472
[2]OK: 69.194680479032
[3]OK: 69.17733825110419
[4]OK: 69.17497429285018
[5]OK: 69.20638888467883
DONE: 69.18566741196248

当期UP满潜(6次)

const rlog =
  typeof window !== "undefined" ? console : new (require("rlog-js"))();
rlog.progress = rlog == console ? () => {} : rlog.progress;
const Gacha = (probability) => Math.random() < probability;

const num = 1000000000;
const repeat = 5;

let resultAll = [];
let goodsList = [];
for (let i = 0; i < repeat; i++) {
  let progress = 0,
    count = 0,
    pureCount = 0,
    result = [];

  while (progress < num) {
    rlog.progress(++progress, num);
    count++;
    pureCount++;
    if (Gacha(0.02 * (pureCount <= 50 ? 1 : 1 + pureCount - 50))) {
      let good = Gacha(0.5) ? "A" : "other";
      if (good === "A" && goodsList.filter(item => item === "A").length >= 5) {
        result.push(count);
        count = 0;
        goodsList = [];
      } else {
        goodsList.push(good);
      }
      pureCount = 0;
    }
  }

  resultAll.push(num / result.length);
  rlog.log(`[${i + 1}]OK:`, num / result.length);
}

let average = resultAll.reduce((sum, val) => sum + val, 0) / resultAll.length;
rlog.log("DONE:", average);

[1]OK: 415.0445342785281
[2]OK: 415.1437808970759
[3]OK: 415.1019054422766
[4]OK: 415.12086036289037
[5]OK: 415.003539980196
DONE: 415.08292419219345

联动池

获取联动UP

不考虑120抽送一个的情况下,获取当期UP和上面单UP的#获取当期UP是一样的

考虑120抽送一个

const rlog =
  typeof window !== "undefined" ? console : new (require("rlog-js"))();
rlog.progress = rlog == console ? () => {} : rlog.progress;
const Gacha = (probability) => Math.random() < probability;

const num = 1000000000;
const repeat = 5;

let resultAll = [];
for (let i = 0; i < repeat; i++) {
  let progress = 0,
    count = 0,
    pureCount = 0,
    result = [];

  while (progress < num) {
    rlog.progress(++progress, num);
    count++;
    pureCount++;
    if (Gacha(0.02 * (pureCount <= 50 ? 1 : 1 + pureCount - 50))) {
      if (Gacha(0.5)) {
        result.push(count);
        count = 0;
      }
      pureCount = 0;
    }
    if (count == 120) {
      result.push(count);
      count = 0;
    }
  }

  resultAll.push(num / result.length);
  rlog.log(`[${i + 1}]OK:`, num / result.length);
}

let average = resultAll.reduce((sum, val) => sum + val, 0) / resultAll.length;
rlog.log("DONE:", average);

[1]OK: 59.26944131024346
[2]OK: 59.2876330029115
[3]OK: 59.27903650225231
[4]OK: 59.285805247078336
[5]OK: 59.27721981777353
DONE: 59.279827176051825

联动满潜

不考虑120抽送一个

不考虑的话跟上面#当期UP满潜(6次)是一样的

考虑120抽送一个

const rlog =
  typeof window !== "undefined" ? console : new (require("rlog-js"))();
rlog.progress = rlog == console ? () => {} : rlog.progress;
const Gacha = (probability) => Math.random() < probability;

const num = 1000000000;
const repeat = 5;

let resultAll = [];
let goodsList = [];
for (let i = 0; i < repeat; i++) {
  let progress = 0,
    count = 0,
    pureCount = 0,
    result = [];

  while (progress < num) {
    rlog.progress(++progress, num);
    count++;
    pureCount++;
    if (Gacha(0.02 * (pureCount <= 50 ? 1 : 1 + pureCount - 50))) {
      let good = Gacha(0.5) ? "A" : "other";
      if (good === "A" && goodsList.filter(item => item === "A").length >= 5) {
        result.push(count);
        count = 0;
        goodsList = [];
      } else {
        goodsList.push(good);
      }
      pureCount = 0;
    }
    if (count == 120) {
      goodsList.push("A");
    }
  }

  resultAll.push(num / result.length);
  rlog.log(`[${i + 1}]OK:`, num / result.length);
}

let average = resultAll.reduce((sum, val) => sum + val, 0) / resultAll.length;
rlog.log("DONE:", average);

[1]OK: 346.6247759070824
[2]OK: 346.5902966501008
[3]OK: 346.54573606660887
[4]OK: 346.60339075165103
[5]OK: 346.71839705150677
DONE: 346.61651928539

前路回想/定向甄选(3up)

获取指定UP(1/3)

const rlog =
  typeof window !== "undefined" ? console : new (require("rlog-js"))();
rlog.progress = rlog == console ? () => {} : rlog.progress;
const Gacha = (probability) => Math.random() < probability;

const num = 1000000000;
const repeat = 5;

let resultAll = [];
for (let i = 0; i < repeat; i++) {
  let progress = 0, count = 0, pureCount = 0, result = [];

  while (progress < num) {
    rlog.progress(++progress, num);
    count++;
    pureCount++;
    if (Gacha(0.02 * (pureCount <= 50 ? 1 : 1 + pureCount - 50))) {
      if (Gacha(0.33333333333333333333)) {
        result.push(count);
        count = 0;
      }
      pureCount = 0;
    }
  }

  resultAll.push(num / result.length);
  rlog.log(`[${i+1}]OK:`, num / result.length);
}

let average = resultAll.reduce((sum, val) => sum + val, 0) / resultAll.length;
rlog.log("DONE:", average);

[1]OK: 103.77826569705941
[2]OK: 103.78772255590552
[3]OK: 103.7550401604634
[4]OK: 103.76091824262208
[5]OK: 103.79829085734275
DONE: 103.77604750267865

联合行动(4up)

获取指定UP(1/4)

const rlog =
  typeof window !== "undefined" ? console : new (require("rlog-js"))();
rlog.progress = rlog == console ? () => {} : rlog.progress;
const Gacha = (probability) => Math.random() < probability;

const num = 1000000000;
const repeat = 5;

let resultAll = [];
for (let i = 0; i < repeat; i++) {
  let progress = 0,
    count = 0,
    pureCount = 0,
    result = [];

  while (progress < num) {
    rlog.progress(++progress, num);
    count++;
    pureCount++;
    if (Gacha(0.02 * (pureCount <= 50 ? 1 : 1 + pureCount - 50))) {
      if (Gacha(0.25)) {
        result.push(count);
        count = 0;
      }
      pureCount = 0;
    }
  }

  resultAll.push(num / result.length);
  rlog.log(`[${i + 1}]OK:`, num / result.length);
}

let average = resultAll.reduce((sum, val) => sum + val, 0) / resultAll.length;
rlog.log("DONE:", average);

[1]OK: 138.36548301453004
[2]OK: 138.33629303832288
[3]OK: 138.41343872686213
[4]OK: 138.3623815929329
[5]OK: 138.26359179499602
DONE: 138.34823763352878

限定池

UP的两个占六星出率的70%

获取任一当期UP(2)

const rlog =
  typeof window !== "undefined" ? console : new (require("rlog-js"))();
rlog.progress = rlog == console ? () => {} : rlog.progress;
const Gacha = (probability) => Math.random() < probability;

const num = 1000000000;
const repeat = 5;

let resultAll = [];
for (let i = 0; i < repeat; i++) {
  let progress = 0, count = 0, pureCount = 0, result = [];

  while (progress < num) {
    rlog.progress(++progress, num);
    count++;
    pureCount++;
    if (Gacha(0.02 * (pureCount <= 50 ? 1 : 1 + pureCount - 50))) {
      if (Gacha(0.7)) {
        result.push(count);
        count = 0;
      }
      pureCount = 0;
    }
  }

  resultAll.push(num / result.length);
  rlog.log(`[${i+1}]OK:`, num / result.length);
}

let average = resultAll.reduce((sum, val) => sum + val, 0) / resultAll.length;
rlog.log("DONE:", average);

[1]OK: 49.415093306567485
[2]OK: 49.422466356026696
[3]OK: 49.420820111822515
[4]OK: 49.41645833923242
[5]OK: 49.42174580537875
DONE: 49.41931678380557

获取指定当期UP(2)

const rlog =
  typeof window !== "undefined" ? console : new (require("rlog-js"))();
rlog.progress = rlog == console ? () => {} : rlog.progress;
const Gacha = (probability) => Math.random() < probability;

const num = 1000000000;
const repeat = 5;

let resultAll = [];
for (let i = 0; i < repeat; i++) {
  let progress = 0, count = 0, pureCount = 0, result = [];

  while (progress < num) {
    rlog.progress(++progress, num);
    count++;
    pureCount++;
    if (Gacha(0.02 * (pureCount <= 50 ? 1 : 1 + pureCount - 50))) {
      if (Gacha(0.35)) {
        result.push(count);
        count = 0;
      }
      pureCount = 0;
    }
  }

  resultAll.push(num / result.length);
  rlog.log(`[${i+1}]OK:`, num / result.length);
}

let average = resultAll.reduce((sum, val) => sum + val, 0) / resultAll.length;
rlog.log("DONE:", average);

[1]OK: 98.83522685155444
[2]OK: 98.8520215880953
[3]OK: 98.88017216224536
[4]OK: 98.82947359765672
[5]OK: 98.88619533880141
DONE: 98.85661790767065

两个当期UP都抽到(2)

const rlog =
  typeof window !== "undefined" ? console : new (require("rlog-js"))();
rlog.progress = rlog == console ? () => {} : rlog.progress;
const Gacha = (probability) => Math.random() < probability;

const num = 1000000000;
const repeat = 5;

let resultAll = [];
let goodsList = [];
for (let i = 0; i < repeat; i++) {
  let progress = 0,
    count = 0,
    pureCount = 0,
    result = [];

  while (progress < num) {
    rlog.progress(++progress, num);
    count++;
    pureCount++;
    if (Gacha(0.02 * (pureCount <= 50 ? 1 : 1 + pureCount - 50))) {
      if (Gacha(0.7)) {
        let good = Gacha(0.5) ? "A" : "B";
        if (!goodsList.includes(good) && goodsList.length !== 0) {
          result.push(count);
          count = 0;
          goodsList = [];
        } else {
          goodsList.push(good);
        }
      }
      pureCount = 0;
    }
  }

  resultAll.push(num / result.length);
  rlog.log(`[${i + 1}]OK:`, num / result.length);
}

let average = resultAll.reduce((sum, val) => sum + val, 0) / resultAll.length;
rlog.log("DONE:", average);

[1]OK: 148.2569357930345
[2]OK: 148.25190251666498
[3]OK: 148.27962274698382
[4]OK: 148.2629366084023
[5]OK: 148.25403447410366
DONE: 148.26108642783788

当期限定满潜

不考虑300抽必送

此处"不考虑300抽必送"的概率也可视作"当期陪跑满潜"的概率

const rlog =
  typeof window !== "undefined" ? console : new (require("rlog-js"))();
rlog.progress = rlog == console ? () => {} : rlog.progress;
const Gacha = (probability) => Math.random() < probability;

const num = 1000000000;
const repeat = 5;

let resultAll = [];
let goodsList = [];
for (let i = 0; i < repeat; i++) {
  let progress = 0,
    count = 0,
    pureCount = 0,
    result = [];

  while (progress < num) {
    rlog.progress(++progress, num);
    count++;
    pureCount++;
    if (Gacha(0.02 * (pureCount <= 50 ? 1 : 1 + pureCount - 50))) {
      let good = Gacha(0.35) ? "A" : "other";
      if (good === "A" && goodsList.filter(item => item === "A").length >= 5) {
        result.push(count);
        count = 0;
        goodsList = [];
      } else {
        goodsList.push(good);
      }
      pureCount = 0;
    }
  }

  resultAll.push(num / result.length);
  rlog.log(`[${i + 1}]OK:`, num / result.length);
}

let average = resultAll.reduce((sum, val) => sum + val, 0) / resultAll.length;
rlog.log("DONE:", average);

[1]OK: 593.342225555487
[2]OK: 592.9808852611636
[3]OK: 593.1423256873334
[4]OK: 593.1254389128248
[5]OK: 593.0375025055835
DONE: 593.1256755844785

考虑300抽必送

const rlog =
  typeof window !== "undefined" ? console : new (require("rlog-js"))();
rlog.progress = rlog == console ? () => {} : rlog.progress;
const Gacha = (probability) => Math.random() < probability;

const num = 1000000000;
const repeat = 5;

let resultAll = [];
let goodsList = [];
for (let i = 0; i < repeat; i++) {
  let progress = 0,
    count = 0,
    pureCount = 0,
    result = [];

  while (progress < num) {
    rlog.progress(++progress, num);
    count++;
    pureCount++;
    if (Gacha(0.02 * (pureCount <= 50 ? 1 : 1 + pureCount - 50))) {
      let good = Gacha(0.35) ? "A" : "other";
      if (good === "A" && goodsList.filter(item => item === "A").length >= 5) {
        result.push(count);
        count = 0;
        goodsList = [];
      } else {
        goodsList.push(good);
      }
      pureCount = 0;
    }
    if (count == 300) {
      goodsList.push("A");
    }
  }

  resultAll.push(num / result.length);
  rlog.log(`[${i + 1}]OK:`, num / result.length);
}

let average = resultAll.reduce((sum, val) => sum + val, 0) / resultAll.length;
rlog.log("DONE:", average);

[1]OK: 508.9542872527818
[2]OK: 509.08565162454323
[3]OK: 509.18415459645627
[4]OK: 509.06699219803926
[5]OK: 508.97138410187165
DONE: 509.05249395473845

300抽必送+300抽换一个

const rlog =
  typeof window !== "undefined" ? console : new (require("rlog-js"))();
rlog.progress = rlog == console ? () => {} : rlog.progress;
const Gacha = (probability) => Math.random() < probability;

const num = 1000000000;
const repeat = 5;

let resultAll = [];
let goodsList = [];
for (let i = 0; i < repeat; i++) {
  let progress = 0,
    count = 0,
    pureCount = 0,
    result = [];

  while (progress < num) {
    rlog.progress(++progress, num);
    count++;
    pureCount++;
    if (Gacha(0.02 * (pureCount <= 50 ? 1 : 1 + pureCount - 50))) {
      let good = Gacha(0.35) ? "A" : "other";
      if (good === "A" && goodsList.filter(item => item === "A").length >= 5) {
        result.push(count);
        count = 0;
        goodsList = [];
      } else {
        goodsList.push(good);
      }
      pureCount = 0;
    }
    if (count == 300) {
      goodsList.push("A");
      goodsList.push("A");
    }
  }

  resultAll.push(num / result.length);
  rlog.log(`[${i + 1}]OK:`, num / result.length);
}

let average = resultAll.reduce((sum, val) => sum + val, 0) / resultAll.length;
rlog.log("DONE:", average);

[1]OK: 442.897256694392
[2]OK: 442.6847234814143
[3]OK: 442.7954740989001
[4]OK: 442.7688104794522
[5]OK: 442.80331695108663
DONE: 442.78991634104904

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最后编辑于 2025年01月14日 16点02分06秒

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JS模拟Arknights卡池

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