حسابات CLMM

// programs/amm/src/states/pool.rs
pub struct PoolState {
    pub bump:           [u8; 1],
    pub amm_config:     Pubkey,            // fee tier binding
    pub owner:          Pubkey,            // admin (multisig)
    pub token_mint_0:   Pubkey,
    pub token_mint_1:   Pubkey,
    pub token_vault_0:  Pubkey,
    pub token_vault_1:  Pubkey,
    pub observation_key: Pubkey,

    pub mint_decimals_0: u8,
    pub mint_decimals_1: u8,
    pub tick_spacing:   u16,               // inherited from amm_config at init

    pub liquidity:      u128,              // total active (in-range) liquidity
    pub sqrt_price_x64: u128,              // Q64.64 of sqrt(price)
    pub tick_current:   i32,               // current tick index

    pub padding3:       u16,
    pub padding4:       u16,

    // Global fee growth per unit of liquidity, Q64.64.
    pub fee_growth_global_0_x64: u128,
    pub fee_growth_global_1_x64: u128,

    // Accrued-but-not-swept protocol fees (per mint).
    pub protocol_fees_token_0: u64,
    pub protocol_fees_token_1: u64,

    // Reserved padding for future upgrades.
    pub padding5: [u128; 4],

    // Status bitmask. Bits 0-5: open-position, decrease-liquidity,
    // collect-fee, collect-reward, swap, limit-order. A set bit disables
    // the corresponding operation.
    pub status:  u8,

    // Fee-collection mode (CollectFeeOn).
    //   0 = FromInput (deduct fee from the swap input — Uniswap-V3 default)
    //   1 = Token0Only (always deduct fee from token0 vault)
    //   2 = Token1Only (always deduct fee from token1 vault)
    pub fee_on: u8,

    // Client-supplied index (u16 LE) folded into the pool PDA seeds by
    // create_permissioned_pool. [0, 0] for pools created via CreatePool /
    // CreateCustomizablePool (the seed component collapses to empty).
    pub seed_index: [u8; 2],
    pub padding: [u8; 4],

    // Live reward streams (up to REWARD_NUM = 3).
    pub reward_infos: [RewardInfo; 3],

    // Inline bitmap tracking initialized tick-arrays in the primary range.
    pub tick_array_bitmap: [u64; 16],

    // Reserved padding for future upgrades.
    pub padding6: [u64; 4],

    pub fund_fees_token_0: u64,
    pub fund_fees_token_1: u64,

    pub open_time:    u64,                 // currently disabled by the program
    pub recent_epoch: u64,

    // Per-pool dynamic-fee state. Zero-valued unless the pool was
    // created with `enable_dynamic_fee = true` via create_customizable_pool.
    pub dynamic_fee_info: DynamicFeeInfo,

    // Reserved for future upgrades.
    pub padding1: [u64; 14],
    pub padding2: [u64; 32],
}

pub struct AmmConfig {
    pub bump: u8,
    pub index: u16,                       // uses "amm_config"+u16 seed

    pub owner:             Pubkey,        // protocol-fee owner (CollectProtocolFee)
    pub protocol_fee_rate: u32,           // fraction of trade fee to protocol, denom 1e6
    pub trade_fee_rate:    u32,           // trade fee in 1e6ths of volume
    pub tick_spacing:      u16,           // default spacing for pools using this config
    pub fund_fee_rate:     u32,           // fraction of trade fee to fund, denom 1e6
    pub padding_u32: u32,

    pub fund_owner: Pubkey,               // fund-fee owner (CollectFundFee)
    pub padding: [u64; 3],
}

pub const TICK_ARRAY_SIZE: usize = 60;
pub const TICK_ARRAY_SIZE_USIZE: usize = 60;

pub struct TickArrayState {
    pub pool_id:                Pubkey,
    pub start_tick_index:       i32,                            // lowest tick in this array
    pub ticks:                  [TickState; TICK_ARRAY_SIZE],   // 60 entries
    pub initialized_tick_count: u8,
    pub recent_epoch:           u64,
    pub padding:                [u8; 107],
}

pub struct TickState {
    pub tick:                       i32,
    pub liquidity_net:              i128,                       // ΔL when crossing this tick upward
    pub liquidity_gross:            u128,                       // total L referencing this tick
    pub fee_growth_outside_0_x64:   u128,                       // see math.mdx
    pub fee_growth_outside_1_x64:   u128,
    pub reward_growths_outside_x64: [u128; 3],

    // Limit-order bookkeeping. All zero for ticks that have never carried
    // a limit order. See products/clmm/math for the matching algorithm.
    pub order_phase:                  u64,                      // monotonic FIFO cohort id
    pub orders_amount:                u64,                      // unfilled tokens in current cohort
    pub part_filled_orders_remaining: u64,                      // remaining tokens of partially-filled cohort
    pub unfilled_ratio_x64:           u128,                     // Q64.64; starts at 1.0 and shrinks as fills occur

    pub padding:                    [u32; 3],
}

pub struct TickArrayBitmapExtension {
    pub pool_id: Pubkey,
    pub positive_tick_array_bitmap: [[u64; 8]; 14],
    pub negative_tick_array_bitmap: [[u64; 8]; 14],
}

pub struct PersonalPositionState {
    pub bump: [u8; 1],
    pub nft_mint: Pubkey,                 // this position's NFT mint
    pub pool_id:  Pubkey,

    pub tick_lower_index: i32,
    pub tick_upper_index: i32,

    pub liquidity: u128,                  // this position's L

    // Fee-growth snapshots at last time the position was touched.
    pub fee_growth_inside_0_last_x64: u128,
    pub fee_growth_inside_1_last_x64: u128,
    pub token_fees_owed_0: u64,           // accrued since last collect
    pub token_fees_owed_1: u64,

    pub reward_infos: [PositionRewardInfo; 3],
    pub recent_epoch: u64,
    pub padding: [u64; 7],
}

pub struct PositionRewardInfo {
    pub growth_inside_last_x64: u128,
    pub reward_amount_owed: u64,
}

pub const OBSERVATION_NUM: usize = 100;

pub struct Observation {
    pub block_timestamp: u32,
    pub tick_cumulative: i64,                            // Σ tick_current × Δt
    pub padding:         [u64; 4],
}

pub struct ObservationState {
    pub initialized:       bool,
    pub recent_epoch:      u64,
    pub observation_index: u16,
    pub pool_id:           Pubkey,
    pub observations:      [Observation; OBSERVATION_NUM], // 100 entries
    pub padding:           [u64; 4],
}

// programs/amm/src/states/pool_fee.rs
pub struct DynamicFeeConfig {
    pub index:                       u16,    // identifier; PDA seed component
    pub filter_period:               u16,    // seconds — within this window the volatility reference is held
    pub decay_period:                u16,    // seconds — beyond this window the reference fully decays
    pub reduction_factor:            u16,    // fixed-point in [1, 10_000); applied at decay
    pub dynamic_fee_control:         u32,    // fixed-point in (0, 100_000); fee-rate gain
    pub max_volatility_accumulator:  u32,    // ceiling on the volatility accumulator
    pub padding:                     [u64; 8],
}

pub struct DynamicFeeInfo {
    pub filter_period:                u16,
    pub decay_period:                 u16,
    pub reduction_factor:             u16,
    pub dynamic_fee_control:          u32,
    pub max_volatility_accumulator:   u32,
    pub tick_spacing_index_reference: i32,    // tick-spacing-units; reference for next swap
    pub volatility_reference:         u32,    // running floor for the accumulator
    pub volatility_accumulator:       u32,    // current cumulative volatility (capped)
    pub last_update_timestamp:        u64,
    pub padding:                      [u8; 46],
}

// programs/amm/src/states/limit_order.rs
pub struct LimitOrderState {
    pub pool_id:            Pubkey,
    pub owner:              Pubkey,
    pub tick_index:         i32,
    pub zero_for_one:       bool,    // direction: true sells token0 for token1
    pub order_phase:        u64,     // snapshot of TickState.order_phase at open time
    pub total_amount:       u64,     // input-token amount placed
    pub filled_amount:      u64,     // informational; computed precisely on settle
    pub settle_base:        u64,     // unfilled remainder at last settle/decrease
    pub settled_output:     u64,     // cumulative output-token paid to owner
    pub open_time:          u64,
    pub unfilled_ratio_x64: u128,    // Q64.64 snapshot of TickState.unfilled_ratio_x64 at open
    pub padding:            [u64; 4],
}

pub struct LimitOrderNonce {
    pub user_wallet: Pubkey,
    pub nonce_index: u8,             // user-chosen, 0..255
    pub order_nonce: u64,            // monotonic, incremented every time a new order is opened
    pub padding:     [u64; 4],
}

// programs/amm/src/states/permission.rs
pub struct Permission {
    pub authority: Pubkey,       // the account this PDA authorizes
    pub padding:   [u64; 30],
}

import { PublicKey } from "@solana/web3.js";

const CLMM_PROGRAM_ID = new PublicKey(
  "CAMMCzo5YL8w4VFF8KVHrK22GGUsp5VTaW7grrKgrWqK"
); // see reference/program-addresses

function i32ToBytes(n: number): Buffer {
  const b = Buffer.alloc(4);
  b.writeInt32BE(n);
  return b;
}

export function deriveClmmAccounts(
  ammConfig: PublicKey,
  token0Mint: PublicKey,           // must already be sorted
  token1Mint: PublicKey,
) {
  const [poolState] = PublicKey.findProgramAddressSync(
    [Buffer.from("pool"), ammConfig.toBuffer(),
     token0Mint.toBuffer(), token1Mint.toBuffer()],
    CLMM_PROGRAM_ID,
  );
  // NOTE: pools created via CreatePermissionedPool append a non-zero u16
  // seed_index (LE) as a 5th seed — see derivePermissionedPool below.
  const [observation] = PublicKey.findProgramAddressSync(
    [Buffer.from("observation"), poolState.toBuffer()],
    CLMM_PROGRAM_ID,
  );
  const [tickArrayBitmapExtension] = PublicKey.findProgramAddressSync(
    [Buffer.from("pool_tick_array_bitmap_extension"), poolState.toBuffer()],
    CLMM_PROGRAM_ID,
  );
  return { poolState, observation, tickArrayBitmapExtension };
}

export function deriveTickArray(
  pool: PublicKey,
  startTickIndex: number,
) {
  const [tickArray] = PublicKey.findProgramAddressSync(
    [Buffer.from("tick_array"), pool.toBuffer(), i32ToBytes(startTickIndex)],
    CLMM_PROGRAM_ID,
  );
  return tickArray;
}

export function deriveDynamicFeeConfig(index: number) {
  const idx = Buffer.alloc(2);
  idx.writeUInt16BE(index);
  const [pda] = PublicKey.findProgramAddressSync(
    [Buffer.from("dynamic_fee_config"), idx],
    CLMM_PROGRAM_ID,
  );
  return pda;
}

export function derivePermissionedPool(
  ammConfig: PublicKey,
  token0Mint: PublicKey,           // must already be sorted
  token1Mint: PublicKey,
  seedIndex: number,               // non-zero u16
) {
  const idx = Buffer.alloc(2);
  idx.writeUInt16LE(seedIndex);    // little-endian, unlike the u16 seeds above
  const [pool] = PublicKey.findProgramAddressSync(
    [Buffer.from("pool"), ammConfig.toBuffer(),
     token0Mint.toBuffer(), token1Mint.toBuffer(), idx],
    CLMM_PROGRAM_ID,
  );
  return pool;
}

export function derivePermission(authority: PublicKey) {
  const [pda] = PublicKey.findProgramAddressSync(
    [Buffer.from("permission"), authority.toBuffer()],
    CLMM_PROGRAM_ID,
  );
  return pda;
}

export function deriveLimitOrderNonce(
  wallet: PublicKey,
  nonceIndex: number,
) {
  const [pda] = PublicKey.findProgramAddressSync(
    [wallet.toBuffer(), Buffer.from([nonceIndex & 0xff])],
    CLMM_PROGRAM_ID,
  );
  return pda;
}

export function deriveLimitOrder(
  wallet: PublicKey,
  nonceAccount: PublicKey,
  orderNonce: bigint,
) {
  const nonceBytes = Buffer.alloc(8);
  nonceBytes.writeBigUInt64BE(orderNonce);
  const [pda] = PublicKey.findProgramAddressSync(
    [wallet.toBuffer(), nonceAccount.toBuffer(), nonceBytes],
    CLMM_PROGRAM_ID,
  );
  return pda;
}

export function derivePersonalPosition(nftMint: PublicKey) {
  const [personalPosition] = PublicKey.findProgramAddressSync(
    [Buffer.from("position"), nftMint.toBuffer()],
    CLMM_PROGRAM_ID,
  );
  return personalPosition;
}