sporttery/server/triangle/totalProfitCalc.js

const fixFloat = (number, x = 2) => {
  return parseFloat(number.toFixed(x));
}

const HandicapCalc = function (data) {
  const { i, g, a, b, c, A, B, C, w, l } = data;
  const t = w + l;
  const k1 = a * (1 + A);
  const k2 = 1 - A;
  const k3 = b * (1 + B);
  const k4 = 1 - B;
  const k5 = c * (1 + C);
  const k6 = 1 - C;

  const calcTemplate = (handlers) => {
    if (i > 2 || i < 0) {
      return {};
    }
    if (i === 2) {
      const z = g;
      const m = t + k6 * z;
      const x = (k3 + k4) * m / (k1 * k3 - k2 * k4);
      const y = (k1 + k2) * m / (k1 * k3 - k2 * k4);
      return { x, y, z };
    };
    return handlers[i]?.() ?? {};
  };

  return {
    la_wh_wa() {
      return calcTemplate([
        () => {
          const x = g;
          const m = t + k2 * x;
          const z = m / (2 * k5 + k6);
          const y = (k5 + k6) * m / (k3 * k5 + k3 * k6 / 2);
          return { x, y, z };
        },
        () => {
          const y = g;
          const z = ((k1 + k2) * t + (k2 * k4 - k1 * k3 / 2) * y) / (k1 * k5 - k2 * k6);
          const x = ((k5 + k6) * t + (k4 * k5 - k3 * k6 / 2) * y) / (k1 * k5 - k2 * k6);
          return { x, y, z };
        }
      ]);
    },
    la_dr_wa() {
      return calcTemplate([
        () => {
          const x = g;
          const m = t + k2 * x;
          const z = m / k5;
          const y = (k5 + k6) * m / (k3 * k5);
          return { x, y, z };
        },
        () => {
          const y = g;
          const z = ((k1 + k2) * t + k2 * k4 * y) / (k1 * k5 - k2 * k6);
          const x = ((k5 + k6) * t + k4 * k5 * y) / (k1 * k5 - k2 * k6);
          return { x, y, z };
        }
      ]);
    },
    la_lh_wa() {
      return calcTemplate([
        () => {
          const x = g;
          const m = t + k2 * x;
          const z = (2 * k3 + k4) * m / (2 * k3 * k5 - k4 * k6);
          const y = (k5 + k6) * m / (k3 * k5 - k4 * k6 / 2);
          return { x, y, z };
        },
        () => {
          const y = g;
          const z = ((k1 + k2) * t + (k2 * k4 + k1 * k4 / 2) * y) / (k1 * k5 - k2 * k6);
          const x = ((k5 + k6) * t + (k4 * k5 + k4 * k6 / 2) * y) / (k1 * k5 - k2 * k6);
          return { x, y, z };
        }
      ]);
    },
    lh_dr_wa() {
      return calcTemplate([
        () => {
          const x = g;
          const z = (t + k2 * x / 2) / k5;
          const y = ((k5 + k6) * t + (k2 * k5 + k2 * k4 / 2) * x) / (k3 * k5);
          return { x, y, z };
        },
        () => {
          const y = g;
          const z = ((2 * k1 + k2) * t + k2 * k4 * y) / (2 * k1 * k5 - k2 * k6);
          const x = ((k5 + k6) * t + k4 * k5 * y) / (k1 * k5 - k2 * k6 / 2);
          return { x, y, z };
        }
      ]);
    },
    lh_lh_wa() {
      return calcTemplate([
        () => {
          const x = g;
          const z = ((2 * k3 + k4) * t + (k3 + k4) * k2 * x) / (2 * k3 * k5 - k4 * k6);
          const y = ((k5 + k6) * t + (k5 + k6 / 2) * k2 * x) / (k3 * k5 - k4 * k6 / 2);
          return { x, y, z };
        },
        () => {
          const y = g;
          const z = ((2 * k1 + k2) * t + (k1 + k2) * k4 * y) / (2 * k1 * k5 - k2 * k6);
          const x = ((k5 + k6) * t + (k5 + k6 / 2) * k4 * y) / (k1 * k5 - k2 * k6 / 2);
          return { x, y, z };
        }
      ]);
    },
    la_la_wa() {
      return calcTemplate([
        () => {
          const x = g;
          const m = t + k2 * x;
          const z = (k3 + k4) * m / (k3 * k5 - k4 * k6);
          const y = (k5 + k6) * m / (k3 * k5 - k4 * k6);
          return { x, y, z };
        },
        () => {
          const y = g;
          const m = t + k2 * y;
          const z = (k1 + k2) * m / (k1 * k5 - k2 * k6);
          const x = (k5 + k6) * m / (k1 * k5 - k2 * k6);
          return { x, y, z };
        }
      ]);
    }
  }
}

/**
 * 计算输赢比例
 * 与其他方法中的输赢逻辑相反
 * 正数为输
 * 负数为赢
 */
const CROSS_TYPE_MAP = { w: -1, l: 1, a: 1, h: 0.5, d: 0, r: 0 };
const lossProportion = (sol) => {
  const { cross_type, odds_side_a, odds_side_b, rebate_side_a, rebate_side_b } = sol;
  const typeList = cross_type.split('_').map(part => {
    return part.split('').map(key => CROSS_TYPE_MAP[key]);
  }).map(([a, b])=> a * b);

  let loss_proportion_a = 0, loss_proportion_b = 0;
  if (typeList[0] >= 0) {
    loss_proportion_a = typeList[0] * (1 - rebate_side_a);
  }
  else {
    loss_proportion_a = typeList[0] * odds_side_a * (1 + rebate_side_a);
  }

  if (typeList[1] >= 0) {
    loss_proportion_b = typeList[1] * (1 - rebate_side_b);
  }
  else {
    loss_proportion_b = typeList[1] * odds_side_b * (1 + rebate_side_b);
  }

  return { loss_proportion_a, loss_proportion_b };
}

const calcExternalHandicap = (data) => {
  const {
    gold_side_inner: g,
    odds_side_a: a,
    odds_side_b: b,
    odds_side_c: c,
    rebate_side_a: A,
    rebate_side_b: B,
    rebate_side_c: C,
    inner_index: i,
    cross_type: t,
    win_target: w,
    loss_out: l = 0,
  } = data;
  const calc = new HandicapCalc({ i, g, a, b, c, A, B, C, w, l });
  const { x, y, z } = calc?.[t]() ?? {};
  return {
    gold_side_a: fixFloat(x),
    gold_side_b: fixFloat(y),
    gold_side_c: fixFloat(z),
  }
}

const calcGoldsWithWinTarget = (data) => {
  const { gold_side_inner, win_target, sol1, sol2 } = data;
  const {
    odds_side_a: oddsA1,
    odds_side_b: oddsB1,
    odds_side_c: oddsC1,
    inner_index: inner_index_1,
  } = sol1;
  const {
    gold_side_a: goldA1,
    gold_side_b: goldB1,
    gold_side_c: goldC1,
  } = calcExternalHandicap({ ...sol1, gold_side_inner, win_target });

  let loss_out_1 = 0, win_inner_1 = 0;
  switch (inner_index_1) {
    case 0:
      loss_out_1 = goldB1 + goldC1;
      win_inner_1 = gold_side_inner * (oddsA1 + 1);
      break;
    case 1:
      loss_out_1 = goldA1 + goldC1;
      win_inner_1 = gold_side_inner * (oddsB1 + 1);
      break;
    case 2:
      const { loss_proportion_a: lpA1, loss_proportion_b: lpB1 } = lossProportion(sol1);
      loss_out_1 = goldA1 * lpA1 + goldB1 * lpB1 ;
      win_inner_1 = gold_side_inner * (oddsC1 + 1)
      break;
  }

  const {
    odds_side_a: oddsA2,
    odds_side_b: oddsB2,
    odds_side_c: oddsC2,
    inner_index: inner_index_2,
  } = sol2;
  const {
    gold_side_a: goldA2,
    gold_side_b: goldB2,
    gold_side_c: goldC2,
  } = calcExternalHandicap({ ...sol2, gold_side_inner, win_target, loss_out: loss_out_1 });

  let loss_out_2 = 0, win_inner_2 = 0, inner_base_key;
  switch (inner_index_2) {
    case 0:
      inner_base_key = 'goldA2';
      loss_out_2 = gold_side_inner +goldB2 + goldC2 + loss_out_1;
      win_inner_2 = win_inner_1 * (oddsA2 + 1);
      break;
    case 1:
      inner_base_key = 'goldB2';
      loss_out_2 = gold_side_inner + goldA2 + goldC2 + loss_out_1;
      win_inner_2 = win_inner_1 * (oddsB2 + 1);
      break;
    case 2:
      const { loss_proportion_a: lpA2, loss_proportion_b: lpB2  } = lossProportion(sol2);
      inner_base_key = 'goldC2';
      loss_out_2 = gold_side_inner + goldA2 * lpA2 + goldB2 * lpB2 + loss_out_1;
      win_inner_2 = win_inner_1 * (oddsC2 + 1);
      break;
  }

  const win_inner = fixFloat(win_inner_2 - loss_out_2);

  const result = {
    goldA1,
    goldB1,
    goldC1,
    goldA2,
    goldB2,
    goldC2,
    win_inner,
    inner_index_1,
    inner_index_2,
    inner_base: gold_side_inner,
  }

  if (result[inner_base_key]) {
    result[inner_base_key] = win_inner_1;
  }

  return result;
}

const calcTotalProfit = (sol1, sol2, gold_side_inner) => {

  const winTarget1 = sol1.win_average;
  const winTarget2 = sol2.win_average;
  const winTarget = fixFloat(Math.min(winTarget1, winTarget2), 2);

  const win1 = calcGoldsWithWinTarget({ gold_side_inner, win_target: winTarget1, sol1, sol2 })?.win_inner;
  const win2 = calcGoldsWithWinTarget({ gold_side_inner, win_target: winTarget2, sol1, sol2 })?.win_inner;
  const win_inner = fixFloat(Math.max(win1, win2), 2);

  const start = Math.max(winTarget, win_inner);
  const end = Math.min(winTarget, win_inner);
  const result = [];

  for (let i = start; i > end; i--) {
    const win_target = i;
    const goldsInfo = calcGoldsWithWinTarget({ gold_side_inner, win_target, sol1, sol2 });
    const win_diff = Math.abs(fixFloat(win_target - goldsInfo.win_inner));
    const lastResult = result.at(-1);
    if (!lastResult?.win_diff || win_diff < lastResult.win_diff) {
      result.push({ win_target: fixFloat(win_target), win_diff, ...goldsInfo });
    }
    else {
      break;
    }
  }
  return result.at(-1);
}

module.exports = calcTotalProfit;