@raydium-io/raydium-sdk-v2/src/raydium/clmm/utils/math.ts

An SDK for building applications on top of Raydium.

import { EpochInfo, PublicKey } from "@solana/web3.js";
import BN from "bn.js";
import Decimal from "decimal.js";

import { ApiV3PoolInfoConcentratedItem } from "../../../api/type";
import { getTransferAmountFeeV2, minExpirationTime } from "../../../common/transfer";
import { ReturnTypeGetLiquidityAmountOut } from "../type";
import {
  BIT_PRECISION,
  Fee,
  FEE_RATE_DENOMINATOR,
  LOG_B_2_X32,
  LOG_B_P_ERR_MARGIN_LOWER_X64,
  LOG_B_P_ERR_MARGIN_UPPER_X64,
  MAX_SQRT_PRICE_X64,
  MAX_TICK,
  MaxU64,
  MaxUint128,
  MIN_SQRT_PRICE_X64,
  MIN_TICK,
  NEGATIVE_ONE,
  ONE,
  Q128,
  Q64,
  U64Resolution,
  ZERO,
} from "./constants";
import { getPdaTickArrayAddress } from "./pda";
import { PoolUtils } from "./pool";
import { Tick, TickArray, TickUtils } from "./tick";
import { TickQuery } from "./tickQuery";
import { TickArrayBitmapExtensionLayout } from "../layout";

export class MathUtil {
  public static mulDivRoundingUp(a: BN, b: BN, denominator: BN): BN {
    const numerator = a.mul(b);
    let result = numerator.div(denominator);
    if (!numerator.mod(denominator).eq(ZERO)) {
      result = result.add(ONE);
    }
    return result;
  }

  public static mulDivFloor(a: BN, b: BN, denominator: BN): BN {
    if (denominator.eq(ZERO)) {
      throw new Error("division by 0");
    }
    return a.mul(b).div(denominator);
  }

  public static mulDivCeil(a: BN, b: BN, denominator: BN): BN {
    if (denominator.eq(ZERO)) {
      throw new Error("division by 0");
    }
    const numerator = a.mul(b).add(denominator.sub(ONE));
    return numerator.div(denominator);
  }

  public static x64ToDecimal(num: BN, decimalPlaces?: number): Decimal {
    return new Decimal(num.toString()).div(Decimal.pow(2, 64)).toDecimalPlaces(decimalPlaces);
  }

  public static decimalToX64(num: Decimal): BN {
    return new BN(num.mul(Decimal.pow(2, 64)).floor().toFixed());
  }

  public static wrappingSubU128(n0: BN, n1: BN): BN {
    return n0.add(Q128).sub(n1).mod(Q128);
  }
}

// sqrt price math
function mulRightShift(val: BN, mulBy: BN): BN {
  return signedRightShift(val.mul(mulBy), 64, 256);
}

function signedLeftShift(n0: BN, shiftBy: number, bitWidth: number): BN {
  const twosN0 = n0.toTwos(bitWidth).shln(shiftBy);
  twosN0.imaskn(bitWidth + 1);
  return twosN0.fromTwos(bitWidth);
}

function signedRightShift(n0: BN, shiftBy: number, bitWidth: number): BN {
  const twoN0 = n0.toTwos(bitWidth).shrn(shiftBy);
  twoN0.imaskn(bitWidth - shiftBy + 1);
  return twoN0.fromTwos(bitWidth - shiftBy);
}

export class SqrtPriceMath {
  public static sqrtPriceX64ToPrice(sqrtPriceX64: BN, decimalsA: number, decimalsB: number): Decimal {
    return MathUtil.x64ToDecimal(sqrtPriceX64)
      .pow(2)
      .mul(Decimal.pow(10, decimalsA - decimalsB));
  }

  public static priceToSqrtPriceX64(price: Decimal, decimalsA: number, decimalsB: number): BN {
    return MathUtil.decimalToX64(price.mul(Decimal.pow(10, decimalsB - decimalsA)).sqrt());
  }

  public static getNextSqrtPriceX64FromInput(sqrtPriceX64: BN, liquidity: BN, amountIn: BN, zeroForOne: boolean): BN {
    if (!sqrtPriceX64.gt(ZERO)) {
      throw new Error("sqrtPriceX64 must greater than 0");
    }
    if (!liquidity.gt(ZERO)) {
      throw new Error("liquidity must greater than 0");
    }

    return zeroForOne
      ? this.getNextSqrtPriceFromTokenAmountARoundingUp(sqrtPriceX64, liquidity, amountIn, true)
      : this.getNextSqrtPriceFromTokenAmountBRoundingDown(sqrtPriceX64, liquidity, amountIn, true);
  }

  public static getNextSqrtPriceX64FromOutput(sqrtPriceX64: BN, liquidity: BN, amountOut: BN, zeroForOne: boolean): BN {
    if (!sqrtPriceX64.gt(ZERO)) {
      throw new Error("sqrtPriceX64 must greater than 0");
    }
    if (!liquidity.gt(ZERO)) {
      throw new Error("liquidity must greater than 0");
    }

    return zeroForOne
      ? this.getNextSqrtPriceFromTokenAmountBRoundingDown(sqrtPriceX64, liquidity, amountOut, false)
      : this.getNextSqrtPriceFromTokenAmountARoundingUp(sqrtPriceX64, liquidity, amountOut, false);
  }

  private static getNextSqrtPriceFromTokenAmountARoundingUp(
    sqrtPriceX64: BN,
    liquidity: BN,
    amount: BN,
    add: boolean,
  ): BN {
    if (amount.eq(ZERO)) return sqrtPriceX64;
    const liquidityLeftShift = liquidity.shln(U64Resolution);

    if (add) {
      const numerator1 = liquidityLeftShift;
      const denominator = liquidityLeftShift.add(amount.mul(sqrtPriceX64));
      if (denominator.gte(numerator1)) {
        return MathUtil.mulDivCeil(numerator1, sqrtPriceX64, denominator);
      }
      return MathUtil.mulDivRoundingUp(numerator1, ONE, numerator1.div(sqrtPriceX64).add(amount));
    } else {
      const amountMulSqrtPrice = amount.mul(sqrtPriceX64);
      if (!liquidityLeftShift.gt(amountMulSqrtPrice)) {
        throw new Error("getNextSqrtPriceFromTokenAmountARoundingUp,liquidityLeftShift must gt amountMulSqrtPrice");
      }
      const denominator = liquidityLeftShift.sub(amountMulSqrtPrice);
      return MathUtil.mulDivCeil(liquidityLeftShift, sqrtPriceX64, denominator);
    }
  }

  private static getNextSqrtPriceFromTokenAmountBRoundingDown(
    sqrtPriceX64: BN,
    liquidity: BN,
    amount: BN,
    add: boolean,
  ): BN {
    const deltaY = amount.shln(U64Resolution);
    if (add) {
      return sqrtPriceX64.add(deltaY.div(liquidity));
    } else {
      const amountDivLiquidity = MathUtil.mulDivRoundingUp(deltaY, ONE, liquidity);
      if (!sqrtPriceX64.gt(amountDivLiquidity)) {
        throw new Error("getNextSqrtPriceFromTokenAmountBRoundingDown sqrtPriceX64 must gt amountDivLiquidity");
      }
      return sqrtPriceX64.sub(amountDivLiquidity);
    }
  }

  public static getSqrtPriceX64FromTick(tick: number): BN {
    if (!Number.isInteger(tick)) {
      throw new Error("tick must be integer");
    }
    if (tick < MIN_TICK || tick > MAX_TICK) {
      throw new Error("tick must be in MIN_TICK and MAX_TICK");
    }
    const tickAbs: number = tick < 0 ? tick * -1 : tick;

    let ratio: BN = (tickAbs & 0x1) != 0 ? new BN("18445821805675395072") : new BN("18446744073709551616");
    if ((tickAbs & 0x2) != 0) ratio = mulRightShift(ratio, new BN("18444899583751176192"));
    if ((tickAbs & 0x4) != 0) ratio = mulRightShift(ratio, new BN("18443055278223355904"));
    if ((tickAbs & 0x8) != 0) ratio = mulRightShift(ratio, new BN("18439367220385607680"));
    if ((tickAbs & 0x10) != 0) ratio = mulRightShift(ratio, new BN("18431993317065453568"));
    if ((tickAbs & 0x20) != 0) ratio = mulRightShift(ratio, new BN("18417254355718170624"));
    if ((tickAbs & 0x40) != 0) ratio = mulRightShift(ratio, new BN("18387811781193609216"));
    if ((tickAbs & 0x80) != 0) ratio = mulRightShift(ratio, new BN("18329067761203558400"));
    if ((tickAbs & 0x100) != 0) ratio = mulRightShift(ratio, new BN("18212142134806163456"));
    if ((tickAbs & 0x200) != 0) ratio = mulRightShift(ratio, new BN("17980523815641700352"));
    if ((tickAbs & 0x400) != 0) ratio = mulRightShift(ratio, new BN("17526086738831433728"));
    if ((tickAbs & 0x800) != 0) ratio = mulRightShift(ratio, new BN("16651378430235570176"));
    if ((tickAbs & 0x1000) != 0) ratio = mulRightShift(ratio, new BN("15030750278694412288"));
    if ((tickAbs & 0x2000) != 0) ratio = mulRightShift(ratio, new BN("12247334978884435968"));
    if ((tickAbs & 0x4000) != 0) ratio = mulRightShift(ratio, new BN("8131365268886854656"));
    if ((tickAbs & 0x8000) != 0) ratio = mulRightShift(ratio, new BN("3584323654725218816"));
    if ((tickAbs & 0x10000) != 0) ratio = mulRightShift(ratio, new BN("696457651848324352"));
    if ((tickAbs & 0x20000) != 0) ratio = mulRightShift(ratio, new BN("26294789957507116"));
    if ((tickAbs & 0x40000) != 0) ratio = mulRightShift(ratio, new BN("37481735321082"));

    if (tick > 0) ratio = MaxUint128.div(ratio);
    return ratio;
  }

  public static getTickFromPrice(price: Decimal, decimalsA: number, decimalsB: number): number {
    return SqrtPriceMath.getTickFromSqrtPriceX64(SqrtPriceMath.priceToSqrtPriceX64(price, decimalsA, decimalsB));
  }

  public static getTickFromSqrtPriceX64(sqrtPriceX64: BN): number {
    if (sqrtPriceX64.gt(MAX_SQRT_PRICE_X64) || sqrtPriceX64.lt(MIN_SQRT_PRICE_X64)) {
      throw new Error("Provided sqrtPrice is not within the supported sqrtPrice range.");
    }

    const msb = sqrtPriceX64.bitLength() - 1;
    const adjustedMsb = new BN(msb - 64);
    const log2pIntegerX32 = signedLeftShift(adjustedMsb, 32, 128);

    let bit = new BN("8000000000000000", "hex");
    let precision = 0;
    let log2pFractionX64 = new BN(0);

    let r = msb >= 64 ? sqrtPriceX64.shrn(msb - 63) : sqrtPriceX64.shln(63 - msb);

    while (bit.gt(new BN(0)) && precision < BIT_PRECISION) {
      r = r.mul(r);
      const rMoreThanTwo = r.shrn(127);
      r = r.shrn(63 + rMoreThanTwo.toNumber());
      log2pFractionX64 = log2pFractionX64.add(bit.mul(rMoreThanTwo));
      bit = bit.shrn(1);
      precision += 1;
    }

    const log2pFractionX32 = log2pFractionX64.shrn(32);

    const log2pX32 = log2pIntegerX32.add(log2pFractionX32);
    const logbpX64 = log2pX32.mul(new BN(LOG_B_2_X32));

    const tickLow = signedRightShift(logbpX64.sub(new BN(LOG_B_P_ERR_MARGIN_LOWER_X64)), 64, 128).toNumber();
    const tickHigh = signedRightShift(logbpX64.add(new BN(LOG_B_P_ERR_MARGIN_UPPER_X64)), 64, 128).toNumber();

    if (tickLow == tickHigh) {
      return tickLow;
    } else {
      const derivedTickHighSqrtPriceX64 = SqrtPriceMath.getSqrtPriceX64FromTick(tickHigh);
      return derivedTickHighSqrtPriceX64.lte(sqrtPriceX64) ? tickHigh : tickLow;
    }
  }
}

// tick math
export class TickMath {
  public static getTickWithPriceAndTickspacing(
    price: Decimal,
    tickSpacing: number,
    mintDecimalsA: number,
    mintDecimalsB: number,
  ): number {
    const tick = SqrtPriceMath.getTickFromSqrtPriceX64(
      SqrtPriceMath.priceToSqrtPriceX64(price, mintDecimalsA, mintDecimalsB),
    );
    let result = tick / tickSpacing;
    if (result < 0) {
      result = Math.floor(result);
    } else {
      result = Math.ceil(result);
    }
    return result * tickSpacing;
  }

  public static roundPriceWithTickspacing(
    price: Decimal,
    tickSpacing: number,
    mintDecimalsA: number,
    mintDecimalsB: number,
  ): Decimal {
    const tick = TickMath.getTickWithPriceAndTickspacing(price, tickSpacing, mintDecimalsA, mintDecimalsB);
    const sqrtPriceX64 = SqrtPriceMath.getSqrtPriceX64FromTick(tick);
    return SqrtPriceMath.sqrtPriceX64ToPrice(sqrtPriceX64, mintDecimalsA, mintDecimalsB);
  }
}

export class LiquidityMath {
  public static addDelta(x: BN, y: BN): BN {
    return x.add(y);
  }

  public static getTokenAmountAFromLiquidity(
    sqrtPriceX64A: BN,
    sqrtPriceX64B: BN,
    liquidity: BN,
    roundUp: boolean,
  ): BN {
    if (sqrtPriceX64A.gt(sqrtPriceX64B)) {
      [sqrtPriceX64A, sqrtPriceX64B] = [sqrtPriceX64B, sqrtPriceX64A];
    }

    if (!sqrtPriceX64A.gt(ZERO)) {
      throw new Error("sqrtPriceX64A must greater than 0");
    }

    const numerator1 = liquidity.ushln(U64Resolution);
    const numerator2 = sqrtPriceX64B.sub(sqrtPriceX64A);

    return roundUp
      ? MathUtil.mulDivRoundingUp(MathUtil.mulDivCeil(numerator1, numerator2, sqrtPriceX64B), ONE, sqrtPriceX64A)
      : MathUtil.mulDivFloor(numerator1, numerator2, sqrtPriceX64B).div(sqrtPriceX64A);
  }

  public static getTokenAmountBFromLiquidity(
    sqrtPriceX64A: BN,
    sqrtPriceX64B: BN,
    liquidity: BN,
    roundUp: boolean,
  ): BN {
    if (sqrtPriceX64A.gt(sqrtPriceX64B)) {
      [sqrtPriceX64A, sqrtPriceX64B] = [sqrtPriceX64B, sqrtPriceX64A];
    }
    if (!sqrtPriceX64A.gt(ZERO)) {
      throw new Error("sqrtPriceX64A must greater than 0");
    }

    return roundUp
      ? MathUtil.mulDivCeil(liquidity, sqrtPriceX64B.sub(sqrtPriceX64A), Q64)
      : MathUtil.mulDivFloor(liquidity, sqrtPriceX64B.sub(sqrtPriceX64A), Q64);
  }

  public static getLiquidityFromTokenAmountA(sqrtPriceX64A: BN, sqrtPriceX64B: BN, amountA: BN, roundUp: boolean): BN {
    if (sqrtPriceX64A.gt(sqrtPriceX64B)) {
      [sqrtPriceX64A, sqrtPriceX64B] = [sqrtPriceX64B, sqrtPriceX64A];
    }

    const numerator = amountA.mul(sqrtPriceX64A).mul(sqrtPriceX64B);
    const denominator = sqrtPriceX64B.sub(sqrtPriceX64A);
    const result = numerator.div(denominator);

    if (roundUp) {
      return MathUtil.mulDivRoundingUp(result, ONE, MaxU64);
    } else {
      return result.shrn(U64Resolution);
    }
  }

  public static getLiquidityFromTokenAmountB(sqrtPriceX64A: BN, sqrtPriceX64B: BN, amountB: BN): BN {
    if (sqrtPriceX64A.gt(sqrtPriceX64B)) {
      [sqrtPriceX64A, sqrtPriceX64B] = [sqrtPriceX64B, sqrtPriceX64A];
    }
    return MathUtil.mulDivFloor(amountB, MaxU64, sqrtPriceX64B.sub(sqrtPriceX64A));
  }

  public static getLiquidityFromTokenAmounts(
    sqrtPriceCurrentX64: BN,
    sqrtPriceX64A: BN,
    sqrtPriceX64B: BN,
    amountA: BN,
    amountB: BN,
  ): BN {
    if (sqrtPriceX64A.gt(sqrtPriceX64B)) {
      [sqrtPriceX64A, sqrtPriceX64B] = [sqrtPriceX64B, sqrtPriceX64A];
    }

    if (sqrtPriceCurrentX64.lte(sqrtPriceX64A)) {
      return LiquidityMath.getLiquidityFromTokenAmountA(sqrtPriceX64A, sqrtPriceX64B, amountA, false);
    } else if (sqrtPriceCurrentX64.lt(sqrtPriceX64B)) {
      const liquidity0 = LiquidityMath.getLiquidityFromTokenAmountA(sqrtPriceCurrentX64, sqrtPriceX64B, amountA, false);
      const liquidity1 = LiquidityMath.getLiquidityFromTokenAmountB(sqrtPriceX64A, sqrtPriceCurrentX64, amountB);
      return liquidity0.lt(liquidity1) ? liquidity0 : liquidity1;
    } else {
      return LiquidityMath.getLiquidityFromTokenAmountB(sqrtPriceX64A, sqrtPriceX64B, amountB);
    }
  }

  public static getAmountsFromLiquidity(
    sqrtPriceCurrentX64: BN,
    sqrtPriceX64A: BN,
    sqrtPriceX64B: BN,
    liquidity: BN,
    roundUp: boolean,
  ): { amountA: BN; amountB: BN } {
    if (sqrtPriceX64A.gt(sqrtPriceX64B)) {
      [sqrtPriceX64A, sqrtPriceX64B] = [sqrtPriceX64B, sqrtPriceX64A];
    }

    if (sqrtPriceCurrentX64.lte(sqrtPriceX64A)) {
      return {
        amountA: LiquidityMath.getTokenAmountAFromLiquidity(sqrtPriceX64A, sqrtPriceX64B, liquidity, roundUp),
        amountB: new BN(0),
      };
    } else if (sqrtPriceCurrentX64.lt(sqrtPriceX64B)) {
      const amountA = LiquidityMath.getTokenAmountAFromLiquidity(
        sqrtPriceCurrentX64,
        sqrtPriceX64B,
        liquidity,
        roundUp,
      );
      const amountB = LiquidityMath.getTokenAmountBFromLiquidity(
        sqrtPriceX64A,
        sqrtPriceCurrentX64,
        liquidity,
        roundUp,
      );
      return { amountA, amountB };
    } else {
      return {
        amountA: new BN(0),
        amountB: LiquidityMath.getTokenAmountBFromLiquidity(sqrtPriceX64A, sqrtPriceX64B, liquidity, roundUp),
      };
    }
  }

  public static getAmountsFromLiquidityWithSlippage(
    sqrtPriceCurrentX64: BN,
    sqrtPriceX64A: BN,
    sqrtPriceX64B: BN,
    liquidity: BN,
    amountMax: boolean,
    roundUp: boolean,
    amountSlippage: number,
  ): { amountSlippageA: BN; amountSlippageB: BN } {
    const { amountA, amountB } = LiquidityMath.getAmountsFromLiquidity(
      sqrtPriceCurrentX64,
      sqrtPriceX64A,
      sqrtPriceX64B,
      liquidity,
      roundUp,
    );
    const coefficient = amountMax ? 1 + amountSlippage : 1 - amountSlippage;

    const amount0Slippage = new BN(new Decimal(amountA.toString()).mul(coefficient).toFixed(0));
    const amount1Slippage = new BN(new Decimal(amountB.toString()).mul(coefficient).toFixed(0));
    return {
      amountSlippageA: amount0Slippage,
      amountSlippageB: amount1Slippage,
    };
  }

  public static getAmountsOutFromLiquidity({
    poolInfo,
    tickLower,
    tickUpper,
    liquidity,
    slippage,
    add,
    epochInfo,
    amountAddFee,
  }: {
    poolInfo: ApiV3PoolInfoConcentratedItem;
    tickLower: number;
    tickUpper: number;
    liquidity: BN;
    slippage: number;
    add: boolean;

    epochInfo: EpochInfo;
    amountAddFee: boolean;
  }): ReturnTypeGetLiquidityAmountOut {
    const sqrtPriceX64 = SqrtPriceMath.priceToSqrtPriceX64(
      new Decimal(poolInfo.price),
      poolInfo.mintA.decimals,
      poolInfo.mintB.decimals,
    );
    const sqrtPriceX64A = SqrtPriceMath.getSqrtPriceX64FromTick(tickLower);
    const sqrtPriceX64B = SqrtPriceMath.getSqrtPriceX64FromTick(tickUpper);

    const coefficientRe = add ? 1 + slippage : 1 - slippage;

    const amounts = LiquidityMath.getAmountsFromLiquidity(sqrtPriceX64, sqrtPriceX64A, sqrtPriceX64B, liquidity, add);

    const [amountA, amountB] = [
      getTransferAmountFeeV2(amounts.amountA, poolInfo.mintA.extensions?.feeConfig, epochInfo, amountAddFee),
      getTransferAmountFeeV2(amounts.amountB, poolInfo.mintB.extensions?.feeConfig, epochInfo, amountAddFee),
    ];
    const [amountSlippageA, amountSlippageB] = [
      getTransferAmountFeeV2(
        new BN(new Decimal(amounts.amountA.toString()).mul(coefficientRe).toFixed(0)),
        poolInfo.mintA.extensions?.feeConfig,
        epochInfo,
        amountAddFee,
      ),
      getTransferAmountFeeV2(
        new BN(new Decimal(amounts.amountB.toString()).mul(coefficientRe).toFixed(0)),
        poolInfo.mintB.extensions?.feeConfig,
        epochInfo,
        amountAddFee,
      ),
    ];

    return {
      liquidity,
      amountA,
      amountB,
      amountSlippageA,
      amountSlippageB,
      expirationTime: minExpirationTime(amountA.expirationTime, amountB.expirationTime),
    };
  }
}

// swap math

type SwapStep = {
  sqrtPriceX64Next: BN;
  amountIn: BN;
  amountOut: BN;
  feeAmount: BN;
};

export interface StepComputations {
  sqrtPriceStartX64: BN;
  tickNext: number;
  initialized: boolean;
  sqrtPriceNextX64: BN;
  amountIn: BN;
  amountOut: BN;
  feeAmount: BN;
}

export abstract class SwapMath {
  public static swapCompute(
    programId: PublicKey,
    poolId: PublicKey,
    tickArrayCache: { [key: string]: TickArray },
    tickArrayBitmap: BN[],
    tickarrayBitmapExtension: ReturnType<typeof TickArrayBitmapExtensionLayout.decode>,
    zeroForOne: boolean,
    fee: number,
    liquidity: BN,
    currentTick: number,
    tickSpacing: number,
    currentSqrtPriceX64: BN,
    amountSpecified: BN,
    lastSavedTickArrayStartIndex: number,
    sqrtPriceLimitX64?: BN,
    catchLiquidityInsufficient = false,
  ): {
    allTrade: boolean;
    amountSpecifiedRemaining: BN;
    amountCalculated: BN;
    feeAmount: BN;
    sqrtPriceX64: BN;
    liquidity: BN;
    tickCurrent: number;
    accounts: PublicKey[];
  } {
    if (amountSpecified.eq(ZERO)) {
      throw new Error("amountSpecified must not be 0");
    }
    if (!sqrtPriceLimitX64) sqrtPriceLimitX64 = zeroForOne ? MIN_SQRT_PRICE_X64.add(ONE) : MAX_SQRT_PRICE_X64.sub(ONE);

    if (zeroForOne) {
      if (sqrtPriceLimitX64.lt(MIN_SQRT_PRICE_X64)) {
        throw new Error("sqrtPriceX64 must greater than MIN_SQRT_PRICE_X64");
      }

      if (sqrtPriceLimitX64.gte(currentSqrtPriceX64)) {
        throw new Error("sqrtPriceX64 must smaller than current");
      }
    } else {
      if (sqrtPriceLimitX64.gt(MAX_SQRT_PRICE_X64)) {
        throw new Error("sqrtPriceX64 must smaller than MAX_SQRT_PRICE_X64");
      }

      if (sqrtPriceLimitX64.lte(currentSqrtPriceX64)) {
        throw new Error("sqrtPriceX64 must greater than current");
      }
    }
    const baseInput = amountSpecified.gt(ZERO);

    const state = {
      amountSpecifiedRemaining: amountSpecified,
      amountCalculated: ZERO,
      sqrtPriceX64: currentSqrtPriceX64,
      tick:
        currentTick > lastSavedTickArrayStartIndex
          ? Math.min(lastSavedTickArrayStartIndex + TickQuery.tickCount(tickSpacing) - 1, currentTick)
          : lastSavedTickArrayStartIndex,
      accounts: [] as PublicKey[],
      liquidity,
      feeAmount: new BN(0),
    };
    let tickAarrayStartIndex = lastSavedTickArrayStartIndex;
    let tickArrayCurrent = tickArrayCache[lastSavedTickArrayStartIndex];
    let loopCount = 0;
    let t = !zeroForOne && tickArrayCurrent.startTickIndex === state.tick;
    while (
      !state.amountSpecifiedRemaining.eq(ZERO) &&
      !state.sqrtPriceX64.eq(sqrtPriceLimitX64)
      // state.tick < MAX_TICK &&
      // state.tick > MIN_TICK
    ) {
      if (loopCount > 10) {
        // throw Error('liquidity limit')
      }
      const step: Partial<StepComputations> = {};
      step.sqrtPriceStartX64 = state.sqrtPriceX64;

      const tickState: Tick | null = TickUtils.nextInitTick(tickArrayCurrent, state.tick, tickSpacing, zeroForOne, t);

      let nextInitTick: Tick | null = tickState ? tickState : null; // TickUtils.firstInitializedTick(tickArrayCurrent, zeroForOne)
      let tickArrayAddress: null | PublicKey = null;

      if (!nextInitTick?.liquidityGross.gtn(0)) {
        const nextInitTickArrayIndex = PoolUtils.nextInitializedTickArrayStartIndex(
          {
            tickCurrent: state.tick,
            tickSpacing,
            tickArrayBitmap,
            exBitmapInfo: tickarrayBitmapExtension,
          },
          tickAarrayStartIndex,
          zeroForOne,
        );
        if (!nextInitTickArrayIndex.isExist) {
          if (catchLiquidityInsufficient) {
            return {
              allTrade: false,
              amountSpecifiedRemaining: state.amountSpecifiedRemaining,
              amountCalculated: state.amountCalculated,
              feeAmount: state.feeAmount,
              sqrtPriceX64: state.sqrtPriceX64,
              liquidity: state.liquidity,
              tickCurrent: state.tick,
              accounts: state.accounts,
            };
          }
          throw Error("swapCompute LiquidityInsufficient");
        }
        tickAarrayStartIndex = nextInitTickArrayIndex.nextStartIndex;

        const { publicKey: expectedNextTickArrayAddress } = getPdaTickArrayAddress(
          programId,
          poolId,
          tickAarrayStartIndex,
        );
        tickArrayAddress = expectedNextTickArrayAddress;
        tickArrayCurrent = tickArrayCache[tickAarrayStartIndex];

        try {
          nextInitTick = TickUtils.firstInitializedTick(tickArrayCurrent, zeroForOne);
        } catch (e) {
          throw Error("not found next tick info");
        }
      }

      step.tickNext = nextInitTick.tick;
      step.initialized = nextInitTick.liquidityGross.gtn(0);
      if (lastSavedTickArrayStartIndex !== tickAarrayStartIndex && tickArrayAddress) {
        state.accounts.push(tickArrayAddress);
        lastSavedTickArrayStartIndex = tickAarrayStartIndex;
      }
      if (step.tickNext < MIN_TICK) {
        step.tickNext = MIN_TICK;
      } else if (step.tickNext > MAX_TICK) {
        step.tickNext = MAX_TICK;
      }

      step.sqrtPriceNextX64 = SqrtPriceMath.getSqrtPriceX64FromTick(step.tickNext);
      let targetPrice: BN;
      if (
        (zeroForOne && step.sqrtPriceNextX64.lt(sqrtPriceLimitX64)) ||
        (!zeroForOne && step.sqrtPriceNextX64.gt(sqrtPriceLimitX64))
      ) {
        targetPrice = sqrtPriceLimitX64;
      } else {
        targetPrice = step.sqrtPriceNextX64;
      }
      [state.sqrtPriceX64, step.amountIn, step.amountOut, step.feeAmount] = SwapMath.swapStepCompute(
        state.sqrtPriceX64,
        targetPrice,
        state.liquidity,
        state.amountSpecifiedRemaining,
        fee,
        zeroForOne,
      );

      state.feeAmount = state.feeAmount.add(step.feeAmount);

      if (baseInput) {
        state.amountSpecifiedRemaining = state.amountSpecifiedRemaining.sub(step.amountIn.add(step.feeAmount));
        state.amountCalculated = state.amountCalculated.sub(step.amountOut);
      } else {
        state.amountSpecifiedRemaining = state.amountSpecifiedRemaining.add(step.amountOut);
        state.amountCalculated = state.amountCalculated.add(step.amountIn.add(step.feeAmount));
      }
      if (state.sqrtPriceX64.eq(step.sqrtPriceNextX64)) {
        if (step.initialized) {
          let liquidityNet = nextInitTick.liquidityNet;
          if (zeroForOne) liquidityNet = liquidityNet.mul(NEGATIVE_ONE);
          state.liquidity = LiquidityMath.addDelta(state.liquidity, liquidityNet);
        }

        t = step.tickNext != state.tick && !zeroForOne && tickArrayCurrent.startTickIndex === step.tickNext;
        state.tick = zeroForOne ? step.tickNext - 1 : step.tickNext; //
      } else if (state.sqrtPriceX64 != step.sqrtPriceStartX64) {
        const _T = SqrtPriceMath.getTickFromSqrtPriceX64(state.sqrtPriceX64);
        t = _T != state.tick && !zeroForOne && tickArrayCurrent.startTickIndex === _T;
        state.tick = _T;
      }
      ++loopCount;
    }

    try {
      const { nextStartIndex: tickAarrayStartIndex, isExist } = TickQuery.nextInitializedTickArray(
        state.tick,
        tickSpacing,
        zeroForOne,
        tickArrayBitmap,
        tickarrayBitmapExtension,
      );
      if (isExist && lastSavedTickArrayStartIndex !== tickAarrayStartIndex) {
        state.accounts.push(getPdaTickArrayAddress(programId, poolId, tickAarrayStartIndex).publicKey);
        lastSavedTickArrayStartIndex = tickAarrayStartIndex;
      }
    } catch (e) {
      /* empty */
    }

    return {
      allTrade: true,
      amountSpecifiedRemaining: ZERO,
      amountCalculated: state.amountCalculated,
      feeAmount: state.feeAmount,
      sqrtPriceX64: state.sqrtPriceX64,
      liquidity: state.liquidity,
      tickCurrent: state.tick,
      accounts: state.accounts,
    };
  }
  // public static swapCompute(
  //   programId: PublicKey,
  //   poolId: PublicKey,
  //   tickArrayCache: { [key: string]: TickArray },
  //   tickArrayBitmap: BN[],
  //   tickarrayBitmapExtension: ReturnType<typeof TickArrayBitmapExtensionLayout.decode>,
  //   zeroForOne: boolean,
  //   fee: number,
  //   liquidity: BN,
  //   currentTick: number,
  //   tickSpacing: number,
  //   currentSqrtPriceX64: BN,
  //   amountSpecified: BN,
  //   lastSavedTickArrayStartIndex: number,
  //   sqrtPriceLimitX64?: BN,
  // ): {
  //   amountCalculated: BN;
  //   feeAmount: BN;
  //   sqrtPriceX64: BN;
  //   liquidity: BN;
  //   tickCurrent: number;
  //   accounts: PublicKey[];
  // } {
  //   if (amountSpecified.eq(ZERO)) {
  //     throw new Error("amountSpecified must not be 0");
  //   }
  //   if (!sqrtPriceLimitX64) sqrtPriceLimitX64 = zeroForOne ? MIN_SQRT_PRICE_X64.add(ONE) : MAX_SQRT_PRICE_X64.sub(ONE);

  //   if (zeroForOne) {
  //     if (sqrtPriceLimitX64.lt(MIN_SQRT_PRICE_X64)) {
  //       throw new Error("sqrtPriceX64 must greater than MIN_SQRT_PRICE_X64");
  //     }

  //     if (sqrtPriceLimitX64.gte(currentSqrtPriceX64)) {
  //       throw new Error("sqrtPriceX64 must smaller than current");
  //     }
  //   } else {
  //     if (sqrtPriceLimitX64.gt(MAX_SQRT_PRICE_X64)) {
  //       throw new Error("sqrtPriceX64 must smaller than MAX_SQRT_PRICE_X64");
  //     }

  //     if (sqrtPriceLimitX64.lte(currentSqrtPriceX64)) {
  //       throw new Error("sqrtPriceX64 must greater than current");
  //     }
  //   }
  //   const baseInput = amountSpecified.gt(ZERO);

  //   const state = {
  //     amountSpecifiedRemaining: amountSpecified,
  //     amountCalculated: ZERO,
  //     sqrtPriceX64: currentSqrtPriceX64,
  //     tick:
  //       currentTick > lastSavedTickArrayStartIndex
  //         ? Math.min(lastSavedTickArrayStartIndex + TickQuery.tickCount(tickSpacing) - 1, currentTick)
  //         : lastSavedTickArrayStartIndex,
  //     accounts: [] as PublicKey[],
  //     liquidity,
  //     feeAmount: new BN(0),
  //   };
  //   let tickAarrayStartIndex = lastSavedTickArrayStartIndex;
  //   let tickArrayCurrent = tickArrayCache[lastSavedTickArrayStartIndex];
  //   let loopCount = 0;
  //   while (
  //     !state.amountSpecifiedRemaining.eq(ZERO) &&
  //     !state.sqrtPriceX64.eq(sqrtPriceLimitX64)
  //     // state.tick < MAX_TICK &&
  //     // state.tick > MIN_TICK
  //   ) {
  //     if (loopCount > 10) {
  //       throw Error("liquidity limit");
  //     }
  //     const step: Partial<StepComputations> = {};
  //     step.sqrtPriceStartX64 = state.sqrtPriceX64;

  //     const tickState: Tick | null = TickUtils.nextInitTick(tickArrayCurrent, state.tick, tickSpacing, zeroForOne);

  //     let nextInitTick: Tick | null = tickState ? tickState : null; // TickUtils.firstInitializedTick(tickArrayCurrent, zeroForOne)
  //     let tickArrayAddress: PublicKey | null = null;

  //     if (!nextInitTick?.liquidityGross.gtn(0)) {
  //       const nextInitTickArrayIndex = PoolUtils.nextInitializedTickArrayStartIndex(
  //         {
  //           tickCurrent: state.tick,
  //           tickSpacing,
  //           tickArrayBitmap,
  //           exBitmapInfo: tickarrayBitmapExtension,
  //         },
  //         tickAarrayStartIndex,
  //         zeroForOne,
  //       );
  //       if (!nextInitTickArrayIndex.isExist) {
  //         throw Error("swapCompute LiquidityInsufficient");
  //       }
  //       tickAarrayStartIndex = nextInitTickArrayIndex.nextStartIndex;

  //       const { publicKey: expectedNextTickArrayAddress } = getPdaTickArrayAddress(
  //         programId,
  //         poolId,
  //         tickAarrayStartIndex,
  //       );
  //       tickArrayAddress = expectedNextTickArrayAddress;
  //       tickArrayCurrent = tickArrayCache[tickAarrayStartIndex];

  //       nextInitTick = TickUtils.firstInitializedTick(tickArrayCurrent, zeroForOne);
  //     }

  //     step.tickNext = nextInitTick.tick;
  //     step.initialized = nextInitTick.liquidityGross.gtn(0);
  //     if (lastSavedTickArrayStartIndex !== tickAarrayStartIndex && tickArrayAddress) {
  //       state.accounts.push(tickArrayAddress);
  //       lastSavedTickArrayStartIndex = tickAarrayStartIndex;
  //     }
  //     if (step.tickNext < MIN_TICK) {
  //       step.tickNext = MIN_TICK;
  //     } else if (step.tickNext > MAX_TICK) {
  //       step.tickNext = MAX_TICK;
  //     }

  //     step.sqrtPriceNextX64 = SqrtPriceMath.getSqrtPriceX64FromTick(step.tickNext);
  //     let targetPrice: BN;
  //     if (
  //       (zeroForOne && step.sqrtPriceNextX64.lt(sqrtPriceLimitX64)) ||
  //       (!zeroForOne && step.sqrtPriceNextX64.gt(sqrtPriceLimitX64))
  //     ) {
  //       targetPrice = sqrtPriceLimitX64;
  //     } else {
  //       targetPrice = step.sqrtPriceNextX64;
  //     }
  //     [state.sqrtPriceX64, step.amountIn, step.amountOut, step.feeAmount] = SwapMath.swapStepCompute(
  //       state.sqrtPriceX64,
  //       targetPrice,
  //       state.liquidity,
  //       state.amountSpecifiedRemaining,
  //       fee,
  //     );

  //     state.feeAmount = state.feeAmount.add(step.feeAmount);

  //     if (baseInput) {
  //       state.amountSpecifiedRemaining = state.amountSpecifiedRemaining.sub(step.amountIn.add(step.feeAmount));
  //       state.amountCalculated = state.amountCalculated.sub(step.amountOut);
  //     } else {
  //       state.amountSpecifiedRemaining = state.amountSpecifiedRemaining.add(step.amountOut);
  //       state.amountCalculated = state.amountCalculated.add(step.amountIn.add(step.feeAmount));
  //     }
  //     if (state.sqrtPriceX64.eq(step.sqrtPriceNextX64)) {
  //       if (step.initialized) {
  //         let liquidityNet = nextInitTick.liquidityNet;
  //         if (zeroForOne) liquidityNet = liquidityNet.mul(NEGATIVE_ONE);
  //         state.liquidity = LiquidityMath.addDelta(state.liquidity, liquidityNet);
  //       }
  //       state.tick = zeroForOne ? step.tickNext - 1 : step.tickNext;
  //     } else if (state.sqrtPriceX64 != step.sqrtPriceStartX64) {
  //       state.tick = SqrtPriceMath.getTickFromSqrtPriceX64(state.sqrtPriceX64);
  //     }
  //     ++loopCount;
  //   }

  //   // try {
  //   //   console.log('state.tick', state.tick)
  //   //   const { nextStartIndex: tickAarrayStartIndex } = TickQuery.nextInitializedTickArray(
  //   //     state.tick,
  //   //     tickSpacing,
  //   //     zeroForOne,
  //   //     tickArrayBitmap,
  //   //     tickarrayBitmapExtension,
  //   //   );
  //   //   if (
  //   //     lastSavedTickArrayStartIndex !== tickAarrayStartIndex
  //   //   ) {
  //   //     state.accounts.push(getPdaTickArrayAddress(
  //   //       programId,
  //   //       poolId,
  //   //       tickAarrayStartIndex,
  //   //     ).publicKey)
  //   //     lastSavedTickArrayStartIndex = tickAarrayStartIndex;
  //   //   }
  //   // } catch (e) { /* empty */ }

  //   return {
  //     amountCalculated: state.amountCalculated,
  //     feeAmount: state.feeAmount,
  //     sqrtPriceX64: state.sqrtPriceX64,
  //     liquidity: state.liquidity,
  //     tickCurrent: state.tick,
  //     accounts: state.accounts,
  //   };
  // }

  private static swapStepCompute(
    sqrtPriceX64Current: BN,
    sqrtPriceX64Target: BN,
    liquidity: BN,
    amountRemaining: BN,
    feeRate: Fee,
    zeroForOne: boolean,
  ): [BN, BN, BN, BN] {
    const swapStep: SwapStep = {
      sqrtPriceX64Next: new BN(0),
      amountIn: new BN(0),
      amountOut: new BN(0),
      feeAmount: new BN(0),
    };

    const baseInput = amountRemaining.gte(ZERO);

    if (baseInput) {
      const amountRemainingSubtractFee = MathUtil.mulDivFloor(
        amountRemaining,
        FEE_RATE_DENOMINATOR.sub(new BN(feeRate.toString())),
        FEE_RATE_DENOMINATOR,
      );
      swapStep.amountIn = zeroForOne
        ? LiquidityMath.getTokenAmountAFromLiquidity(sqrtPriceX64Target, sqrtPriceX64Current, liquidity, true)
        : LiquidityMath.getTokenAmountBFromLiquidity(sqrtPriceX64Current, sqrtPriceX64Target, liquidity, true);
      if (amountRemainingSubtractFee.gte(swapStep.amountIn)) {
        swapStep.sqrtPriceX64Next = sqrtPriceX64Target;
      } else {
        swapStep.sqrtPriceX64Next = SqrtPriceMath.getNextSqrtPriceX64FromInput(
          sqrtPriceX64Current,
          liquidity,
          amountRemainingSubtractFee,
          zeroForOne,
        );
      }
    } else {
      swapStep.amountOut = zeroForOne
        ? LiquidityMath.getTokenAmountBFromLiquidity(sqrtPriceX64Target, sqrtPriceX64Current, liquidity, false)
        : LiquidityMath.getTokenAmountAFromLiquidity(sqrtPriceX64Current, sqrtPriceX64Target, liquidity, false);
      if (amountRemaining.mul(NEGATIVE_ONE).gte(swapStep.amountOut)) {
        swapStep.sqrtPriceX64Next = sqrtPriceX64Target;
      } else {
        swapStep.sqrtPriceX64Next = SqrtPriceMath.getNextSqrtPriceX64FromOutput(
          sqrtPriceX64Current,
          liquidity,
          amountRemaining.mul(NEGATIVE_ONE),
          zeroForOne,
        );
      }
    }

    const reachTargetPrice = sqrtPriceX64Target.eq(swapStep.sqrtPriceX64Next);

    if (zeroForOne) {
      if (!(reachTargetPrice && baseInput)) {
        swapStep.amountIn = LiquidityMath.getTokenAmountAFromLiquidity(
          swapStep.sqrtPriceX64Next,
          sqrtPriceX64Current,
          liquidity,
          true,
        );
      }

      if (!(reachTargetPrice && !baseInput)) {
        swapStep.amountOut = LiquidityMath.getTokenAmountBFromLiquidity(
          swapStep.sqrtPriceX64Next,
          sqrtPriceX64Current,
          liquidity,
          false,
        );
      }
    } else {
      swapStep.amountIn =
        reachTargetPrice && baseInput
          ? swapStep.amountIn
          : LiquidityMath.getTokenAmountBFromLiquidity(sqrtPriceX64Current, swapStep.sqrtPriceX64Next, liquidity, true);
      swapStep.amountOut =
        reachTargetPrice && !baseInput
          ? swapStep.amountOut
          : LiquidityMath.getTokenAmountAFromLiquidity(
              sqrtPriceX64Current,
              swapStep.sqrtPriceX64Next,
              liquidity,
              false,
            );
    }

    if (!baseInput && swapStep.amountOut.gt(amountRemaining.mul(NEGATIVE_ONE))) {
      swapStep.amountOut = amountRemaining.mul(NEGATIVE_ONE);
    }
    if (baseInput && !swapStep.sqrtPriceX64Next.eq(sqrtPriceX64Target)) {
      swapStep.feeAmount = amountRemaining.sub(swapStep.amountIn);
    } else {
      swapStep.feeAmount = MathUtil.mulDivCeil(
        swapStep.amountIn,
        new BN(feeRate),
        FEE_RATE_DENOMINATOR.sub(new BN(feeRate)),
      );
    }
    return [swapStep.sqrtPriceX64Next, swapStep.amountIn, swapStep.amountOut, swapStep.feeAmount];
  }
}