# LiquidityAmounts

Provides functions for computing liquidity amounts from token amounts and prices

### Functions[​](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#functions) <a href="#functions" id="functions"></a>

#### getLiquidityForAmount0[​](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#getliquidityforamount0) <a href="#getliquidityforamount0" id="getliquidityforamount0"></a>

```solidity
  function getLiquidityForAmount0(
    uint160 sqrtRatioAX96,
    uint160 sqrtRatioBX96,
    uint256 amount0
  ) internal returns (uint128 liquidity)
```

Computes the amount of liquidity received for a given amount of token0 and price range

Calculates amount0 *(sqrt(upper)* sqrt(lower)) / (sqrt(upper) - sqrt(lower))

**Parameters:**[**​**](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#parameters)

| Name            | Type    | Description                                        |
| --------------- | ------- | -------------------------------------------------- |
| `sqrtRatioAX96` | uint160 | A sqrt price representing the first tick boundary  |
| `sqrtRatioBX96` | uint160 | A sqrt price representing the second tick boundary |
| `amount0`       | uint256 | The amount0 being sent in                          |

**Return Values:**[**​**](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#return-values)

| Name        | Type    | Description                      |
| ----------- | ------- | -------------------------------- |
| `liquidity` | uint128 | The amount of returned liquidity |

#### getLiquidityForAmount1[​](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#getliquidityforamount1) <a href="#getliquidityforamount1" id="getliquidityforamount1"></a>

```solidity
  function getLiquidityForAmount1(
    uint160 sqrtRatioAX96,
    uint160 sqrtRatioBX96,
    uint256 amount1
  ) internal returns (uint128 liquidity)
```

Computes the amount of liquidity received for a given amount of token1 and price range

Calculates amount1 / (sqrt(upper) - sqrt(lower)).

**Parameters:**[**​**](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#parameters-1)

| Name            | Type    | Description                                        |
| --------------- | ------- | -------------------------------------------------- |
| `sqrtRatioAX96` | uint160 | A sqrt price representing the first tick boundary  |
| `sqrtRatioBX96` | uint160 | A sqrt price representing the second tick boundary |
| `amount1`       | uint256 | The amount1 being sent in                          |

**Return Values:**[**​**](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#return-values-1)

| Name        | Type    | Description                      |
| ----------- | ------- | -------------------------------- |
| `liquidity` | uint128 | The amount of returned liquidity |

#### getLiquidityForAmounts[​](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#getliquidityforamounts) <a href="#getliquidityforamounts" id="getliquidityforamounts"></a>

```solidity
  function getLiquidityForAmounts(
    uint160 sqrtRatioX96,
    uint160 sqrtRatioAX96,
    uint160 sqrtRatioBX96,
    uint256 amount0,
    uint256 amount1
  ) internal returns (uint128 liquidity)
```

Computes the maximum amount of liquidity received for a given amount of token0, token1, the current pool prices and the prices at the tick boundaries

**Parameters:**[**​**](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#parameters-2)

| Name            | Type    | Description                                        |
| --------------- | ------- | -------------------------------------------------- |
| `sqrtRatioX96`  | uint160 | A sqrt price representing the current pool prices  |
| `sqrtRatioAX96` | uint160 | A sqrt price representing the first tick boundary  |
| `sqrtRatioBX96` | uint160 | A sqrt price representing the second tick boundary |
| `amount0`       | uint256 | The amount of token0 being sent in                 |
| `amount1`       | uint256 | The amount of token1 being sent in                 |

**Return Values:**[**​**](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#return-values-2)

| Name        | Type    | Description                              |
| ----------- | ------- | ---------------------------------------- |
| `liquidity` | uint128 | The maximum amount of liquidity received |

#### getAmount0ForLiquidity[​](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#getamount0forliquidity) <a href="#getamount0forliquidity" id="getamount0forliquidity"></a>

```solidity
  function getAmount0ForLiquidity(
    uint160 sqrtRatioAX96,
    uint160 sqrtRatioBX96,
    uint128 liquidity
  ) internal returns (uint256 amount0)
```

Computes the amount of token0 for a given amount of liquidity and a price range

**Parameters:**[**​**](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#parameters-3)

| Name            | Type    | Description                                        |
| --------------- | ------- | -------------------------------------------------- |
| `sqrtRatioAX96` | uint160 | A sqrt price representing the first tick boundary  |
| `sqrtRatioBX96` | uint160 | A sqrt price representing the second tick boundary |
| `liquidity`     | uint128 | The liquidity being valued                         |

**Return Values:**[**​**](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#return-values-3)

| Name      | Type    | Description          |
| --------- | ------- | -------------------- |
| `amount0` | uint256 | The amount of token0 |

#### getAmount1ForLiquidity[​](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#getamount1forliquidity) <a href="#getamount1forliquidity" id="getamount1forliquidity"></a>

```solidity
  function getAmount1ForLiquidity(
    uint160 sqrtRatioAX96,
    uint160 sqrtRatioBX96,
    uint128 liquidity
  ) internal returns (uint256 amount1)
```

Computes the amount of token1 for a given amount of liquidity and a price range

**Parameters:**[**​**](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#parameters-4)

| Name            | Type    | Description                                        |
| --------------- | ------- | -------------------------------------------------- |
| `sqrtRatioAX96` | uint160 | A sqrt price representing the first tick boundary  |
| `sqrtRatioBX96` | uint160 | A sqrt price representing the second tick boundary |
| `liquidity`     | uint128 | The liquidity being valued                         |

**Return Values:**[**​**](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#return-values-4)

| Name      | Type    | Description          |
| --------- | ------- | -------------------- |
| `amount1` | uint256 | The amount of token1 |

#### getAmountsForLiquidity[​](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#getamountsforliquidity) <a href="#getamountsforliquidity" id="getamountsforliquidity"></a>

```solidity
  function getAmountsForLiquidity(
    uint160 sqrtRatioX96,
    uint160 sqrtRatioAX96,
    uint160 sqrtRatioBX96,
    uint128 liquidity
  ) internal returns (uint256 amount0, uint256 amount1)
```

Computes the token0 and token1 value for a given amount of liquidity, the current pool prices and the prices at the tick boundaries

**Parameters:**[**​**](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#parameters-5)

| Name            | Type    | Description                                        |
| --------------- | ------- | -------------------------------------------------- |
| `sqrtRatioX96`  | uint160 | A sqrt price representing the current pool prices  |
| `sqrtRatioAX96` | uint160 | A sqrt price representing the first tick boundary  |
| `sqrtRatioBX96` | uint160 | A sqrt price representing the second tick boundary |
| `liquidity`     | uint128 | The liquidity being valued                         |

**Return Values:**[**​**](https://docs.uniswap.org/contracts/v3/reference/periphery/libraries/LiquidityAmounts#return-values-5)

| Name      | Type    | Description          |
| --------- | ------- | -------------------- |
| `amount0` | uint256 | The amount of token0 |
| `amount1` | uint256 | The amount of token1 |


---

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